diff --git "a/data/dm_maths/full_data_2/10887_11255.jsonl" "b/data/dm_maths/full_data_2/10887_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10887_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 3207843*r + 860 = 3207863*r for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 + 4*s + 2. Let l be o(-2). Let z be (-3)\/(-18)*3*l. Let f be -5 - -2*(-54)\/(-12). Solve z*n - 2 = f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/4, -0.7, 6\/7, -3191?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06068 * 0.043.\nAnswer: -0.00260924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -673 - -4712\/7. Factor 0 + 0*s + 1\/7*s**2 + d*s**3.\nAnswer: s**2*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + 149. Suppose 38*c - w + 16 = 0. Put -5, -1, 3, c in increasing order.\nAnswer: -5, -1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2336 + -2334. Let i be (-8)\/(-16) + 18\/4. Suppose 0 + 4\/9*z - 20\/9*z**4 + 4\/3*z**3 + 20\/9*z**v - 16\/9*z**i = 0. What is z?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 507*k + 4743. Let y(j) = -317*j - 3162. Determine 5*x(c) + 8*y(c).\nAnswer: -c - 1581","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 409.9?\nAnswer: 410.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 60, -139, 0.1?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**2\/7 - 23804*i\/7 + 1219206\/7 = 0?\nAnswer: -11953, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -33841764 divided by 10054?\nAnswer: -3366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, k: 9}. Give prob of sequence qqq.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((2*sqrt(17) - sqrt(17)) + -5) - (sqrt(2448) + -5*(sqrt(2448) + -4)))**2.\nAnswer: -3000*sqrt(17) + 43400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4529512*c. Let o(d) = 3*d**2. Determine o(k(a)).\nAnswer: 61549436874432*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1128447 (base 10) to base 13\nAnswer: 306828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + -9 + -530 + 639.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2 = -l - 3*d, -5*d + 2 = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*c - 3103 + 8150 + 1236 = -4447 for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 311 times 1.7\nAnswer: 528.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-4)\/6 - 2\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -48 (b) -19\/9 (c) -1\/8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -215.99 + 216. Which is the second biggest value? (a) 0.1 (b) 0.02 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5160864 is divided by 67906?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -16606 divided by -19\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17899 or -17866?\nAnswer: -17899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 - 8*c - 5. Let j be f(6). Let q = 644 + -639. Calculate the highest common divisor of j and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -28*y + 155. Calculate the highest common divisor of y and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 434504*n**4 - 63*n**3 + 5*n**2 + 213960*n + 4?\nAnswer: 10428096*n - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57283955 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 182511978353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otd when three letters picked without replacement from {q: 6, d: 1, o: 8, z: 1, t: 1}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -28, -23, 16, 101, 244, 457, 752?\nAnswer: 1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 182288797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 1 - 6)*(-3 + 1 + 3) + 3 - 2 - 5)*(2*z - 3*z + 0*z) to k*z + i and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.31 (b) 8.5 (c) 337\/126\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14607, 58390, 131353, 233496?\nAnswer: 364819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 + 42 + -46 + (-19 - (-23 - -16))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/5*1580\/316?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 1, v: 1, b: 1, l: 5}. What is prob of picking 1 l, 1 u, and 1 h?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - m - 2 = -4*y, -3*m = 5*y + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 12) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 8:27 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103050 - -440?\nAnswer: 103530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, 2, 8, 37, -13, -5 in descending order.\nAnswer: 116, 37, 8, 2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 5*r**2 - 5*r. Let l be g(-4). Suppose -7*u = 3*v - 4*u - 408, -u + 541 = l*v. What is the highest common factor of v and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6c - 87?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*j - 2*j - 2*j as g*j + i and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 141695631 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -35524\/15 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 1, -122, 10, 3, -2, 4 in decreasing order.\nAnswer: 43, 10, 4, 3, 1, -2, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 0)*1 - (3 + 14). Let n = 21 + v. Let z(d) = -d**3 - 2*d**2 + 4*d + 4. Let u be z(0). Is n less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110412723186 - 0?\nAnswer: 110412723186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6648796 + 14270*v + 6648796 as t*v + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3085152282.\nAnswer: 2, 3, 17, 1181, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 518*i - 2473*i + 490*i + 491*i + 494*i + 523*i.\nAnswer: 43*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**3 - 3707380*z**2 - 859039800332*z + 859043507716 = 0.\nAnswer: -463423, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23655093*v - 23654891*v + 8888 for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 - 262. Let x = -120 - c. Suppose 6*v - x = v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 greater than or equal to 672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v - 17*v + 108*v)*(-2*v**3 + v**3 + 3*v**3) in the form b*v**3 + o + r*v**4 + h*v**2 + n*v and give r.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 14*i**2 + i - 37. Is k(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m**3 - 13*m**2 - 11. Let f(z) = 5*z**3 + 7*z**2 + 6. Let n = 3 + -14. Let b(o) = n*f(o) - 6*l(o). What is the third derivative of b(w) wrt w?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/555)\/((-2)\/(-5)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001121205 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -5*i + 8 + 7, -3 = -i + l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4193*b = 1588*b - 10249*b - 539868 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3584 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: Find the second derivative of n*s**3 - 4*n*s**2 + 26*n*s - 2151*s**3 + s**2 + 25404 wrt s.\nAnswer: 6*n*s - 8*n - 12906*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-20) - 2) + (-3)\/(-4). Which is bigger: k or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 61*c**6\/6 + c**4\/4 + 83*c**3\/3 + 139. Find the third derivative of v(t) wrt t.\nAnswer: 3660*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20568 divided by -6.\nAnswer: 3428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -26 (b) 7 (c) -0.03 (d) -1629 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b**3 + 11*b - b**3 + b**3 + 15*b**2. Let j(d) = 2*d**3 + 4*d**2 + 3*d. Suppose 2*v - 2 - 10 = 0. Suppose 5*n - 56 + 166 = 0. Give n*j(u) + v*k(u).\nAnswer: -2*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 194277692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89076.9403249 + 0.1.\nAnswer: 89077.0403249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311307671 divided by -6.\nAnswer: 311307671\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40308047537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1011212133 + -2?\nAnswer: -1011212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539285?\nAnswer: 5, 107857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/176 and -55\/112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1508 + -1076. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 465 by -14758.\nAnswer: -465\/14758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*c + 54577 + 4737, 0 = -5*r + 4*c + 74188. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*k = -76*k - 4*i + 34, -5*k + 26 = 6*i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*v + 15. Suppose 2*t - 18 = 3*g, 0*g + 2*g + 12 = -t. Which is greater: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 - 1000011100110?\nAnswer: -1000011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + 14. Suppose -3*d = -5*d - 5*p + t, -5*p = -4*d - 9. Suppose 4*a - 54 - 26 = 0. What is the highest common divisor of a and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**5\/2 + 139*n**2\/2 + 157. Let o(p) be the second derivative of z(p). Let x(v) = v**2. Give o(x(t)).\nAnswer: -30*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9179 by -451.\nAnswer: 9179\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 849492*l - 90204582258.\nAnswer: -2*(l + 212373)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350*l**5\/9 - 80*l**4 - 2*l**3 + 940*l**2\/9 - 232*l\/3 + 16 = 0. Calculate l.\nAnswer: -6\/5, 2\/5, 6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1001*w - 2096*w + 1694*w - 2339*w)*(-w**3 + 5*w**3 - 3*w**3) in the form m*w + n*w**4 + b*w**3 + d + a*w**2 and give n.\nAnswer: -3742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (2 + -3))\/4. Let l(w) = 1890*w + 19. What are the prime factors of l(h)?\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**3 - 4*y**2 + 4*y + 5. Calculate the remainder when m(4) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1975395 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26875*y**2 - 53744*y**2 + 26869*y**2 + 1429*y**3.\nAnswer: 1429*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/7, 0.89, 0.216, 2\/15 in ascending order.\nAnswer: -8\/7, 2\/15, 0.216, 0.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 670 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9326 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 21 - 5 - 16*k**2 + 8 + 34*k + k**3. What are the prime factors of q(15)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 1)*(-2*v - v + 2*v) + (-3 + 3 - 2)*(5*v - 2*v - v))*(v**2 - 4*v**2 + 2*v**2).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 4:16 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/9 - (-36500)\/(-20550). Is h not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4959675, 4959690, 4959731, 4959810, 4959939, 4960130?\n\"Answer: 2*g**3 + g**2 - 2*g + 4959674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.1416 + 0.5.\nAnswer: -1.6416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f = 38*f - 3. Solve -k - 3*m + 19 = 0, 2*k - 3*m + f = -4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (10 + (1 - (-13 - -39)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**4\/6 - 3*b. Let l(u) be the second derivative of 0*u**2 + 0 + 1\/6*u**3 + 13*u. Determine l(w(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11761836?\nAnswer: 2, 3, 19, 79, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. Suppose c*w = -w + 8. Suppose 10 = 2*y, w*y - 28 = 2*q - 3*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -62) + 13 + 14\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -256.9 + 257. Suppose -3*y + 2*f = 7, -2*y = y - 3*f + 6. Which is the nearest to -2\/13? (a) 2\/3 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/(-990))\/(3\/(-9)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15 + 0 - 17*a**2 + 74*a - 74*a wrt a.\nAnswer: -34*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7125103?\nAnswer: 41, 173783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v**2 - 4*v + 2 - 4*v**2 + 2*v**2 + 11*v**2. Let b(c) = 4*c**2 - 4*c + 3. Give 2*b(q) - 3*i(q).\nAnswer: -q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 109919247*u - 109919250.\nAnswer: 3*(u - 36639750)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*k**3 + 17*k**3 + 10*k**3.\nAnswer: -66*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/((s**(-3\/8)*s)\/s))*s*(s*s**(-1\/27)\/s)\/s*s*(s*s\/s**(2\/37))\/s**(-5) assuming s is positive.\nAnswer: s**(60211\/7992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 + 62?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at most as big as -18\/12515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9237426us in milliseconds?\nAnswer: 0.0009237426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/8*10\/5. Suppose -u = -w - 1. Let y be 3*u*3\/9. What is the greatest common factor of 3 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/(-15))\/(4\/(-10)). Suppose 0 = -2*d + u*c + 8 - 24, 0 = -5*d + 5*c - 30. Is 16 a factor of 18*2*(-2)\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43221 (base 6) in base 3?\nAnswer: 22010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.7863 times 1?\nAnswer: -33.7863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3226 and 4.\nAnswer: -3222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 1:13 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88748.87 decades to centuries.\nAnswer: 8874.887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Let r be ((-6)\/((-48)\/152))\/((-1)\/9). What is the remainder when 7 is divided by l\/10 + r\/(-45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdv when three letters picked without replacement from {r: 1, p: 1, u: 1, v: 1, h: 2, d: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -7*f**2\/8 - 23*f - 13\/2 = 0.\nAnswer: -26, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-15)\/k)**(8\/5) assuming k is positive.\nAnswer: k**(-128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 139.6 - -16358.76074\nAnswer: 16498.36074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024278 rounded to 7 dps?\nAnswer: -0.0000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + u**2 - 2*u. Let w(x) be the second derivative of -x**5\/20 + x**4\/3 + x**3 - 3*x**2\/2 + x. Let c be w(5). What is z(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (42\/24)\/(2\/24). Let w be 36\/g + (-2)\/(-7). Let y(v) = v**2 - 2*v + 2. Let r be y(w). Solve f + 2 + r = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 13*k**2 - 12. Let z(p) = -25*p**2 + 20. Let o(c) = -5*a(c) - 3*z(c). Let v(g) = -6*g**2. What is o(v(y))?\nAnswer: 360*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -443, -438, -435, -434, -435, -438?\n\"Answer: -t**2 + 8*t - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 4) to base 12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**2 + 4143*u - 24966 = 0.\nAnswer: -1387, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 2, -167, 1, 15 in decreasing order.\nAnswer: 15, 5, 2, 1, -4, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2552694 - 505114 = 74*d. What are the prime factors of d?\nAnswer: 2, 5, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5319*m + 5323*m + 13 = 5*a, 6*m = 2*a - 36 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 10, 3 = -2*t - 4*u - 1. Let c = t + 3. Let b = 9 - c. What is the remainder when b is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 15. Let k(o) = -o**2 - 10*o - 8. What is the remainder when (-42)\/(-36) - 1868\/(-24) is divided by k(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71.3 * -1634.2\nAnswer: 116518.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 3, 43, -12773, -3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 433236*s**2. Let g(m) = -2*m - 66. Calculate g(k(n)).\nAnswer: -866472*n**2 - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:53 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4194*u**2 - 21404*u**2 + 4189*u**2 + 4196*u**2 + 4628*u**2 + 4198*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, p: 1, x: 5, o: 1, c: 2}. What is prob of sequence ppck?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 225870.\nAnswer: 903480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/179 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1751771883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5253 - 768?\nAnswer: 47b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -75 + 27. Sort i, -4, 0.5.\nAnswer: -4, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**4\/6 - b. Let d(a) = -a**2 + 8*a. Let v be d(8). Let u(k) = v*k + 2*k + 0*k. Calculate w(u(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -12.1. Let v = 0.0565 + -0.0965. What is the nearest to 1 in r, v, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 185.3?\nAnswer: -92.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318, -327, -350, -393, -462?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 80 = 5*z + 38 + 38, -34 = -17*p - 2*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2883584 and 6336.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.86356l in millilitres?\nAnswer: 17863.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 55\/(-20)*-4 - -2. Solve -3*s + 11 = -o - 3, -2*s = 3*o - t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 9:58 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -704 - -707. Let h(u) be the first derivative of -51\/5*u**5 + s + 3*u**2 + 0*u - 11*u**3 + 5\/2*u**6 + 63\/4*u**4. Suppose h(v) = 0. What is v?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 815, 3277, 7381, 13127, 20515?\nAnswer: 29545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/10)\/((-4)\/10). Let d be (-5)\/((-5)\/n) - -21. Suppose 5*t - 4*t = 45. What is the greatest common factor of d and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -21. Suppose 7 = l*i - 3*i - 4*o, -5*i + 5*o + 20 = 0. Suppose z + 97 = i*z + u, 0 = 2*z + 5*u - 117. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 5. Let y(i) = -2*i + 20. Let a be y(9). What is the greatest common divisor of m and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*y + 2*y**4 + 2*y**3 - 3 - 5 + 6 - y**2 - y as w*y**2 + s + b*y + c*y**4 + z*y**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j - 5. Suppose o + 3 = 5*d - 27, -5*d - o = -20. Let s be u(d). Let v = 67 + s. What is the remainder when v is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 102 (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.5 - 32.50498. Round g to 4 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 225 and 495?\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80 - -82. Suppose 9*s = 5*s, j*a - 50 = -s. Calculate the remainder when a is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 2\/15, -0.2, -4\/7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7*t**2 - 6*t. Let n(o) = -20*o**2 - 17*o + 1. Let v(k) = -6*n(k) + 17*u(k). Suppose -5*i = -2*f - 6 - 4, -3*i + 10 = -2*f. Determine v(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870366 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004553482997 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175985?\nAnswer: 5, 61, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 + 420*s + 3942. What is n(-9)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(1\/3)*j)\/j*j*j**(-4)*j)\/((j*j**0)\/j)**(5\/6) assuming j is positive.\nAnswer: j**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-43)\/(-45) + -1)*3)\/1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 - (48 + -76)) + 66.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 36, -1, 4, -7.\nAnswer: -7, -3, -1, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -187, -511, -955, -1513?\nAnswer: -2179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 14*b**2 + 12*b + 17. Let y be o(-14). Let v = y + 259. What is the greatest common divisor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*y + 59 + 364 = -153 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -20)*16\/(-260). Let b be (0 + 3 + -3)\/1. Suppose -3*j - 4 + 1 = b. Is i less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1975)\/(-79))\/(-500))\/((-3)\/56).\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/16 + -9\/80. Let o = -30 - -19. What is the second biggest value in -1, o, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 z when four letters picked without replacement from {z: 8, c: 5}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - t**2)*(2*t**3 - t**3 - 3*t**3) - t**2 + t**2 - t**5 + (-4*t**3 - 18*t**2 + 18*t**2)*(-3*t**2 + 2*t**2 - 2*t**2).\nAnswer: 13*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v - 4 = -25*v. Let l(q) = -2*q + 1. Let u(h) = h - 1. Determine v*l(n) - u(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1461596*b + 505715?\nAnswer: 1461596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzkkkzzzzzzzzzz. Give prob of sequence kk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -5*l + 0*l**3 + 0 - 1\/20*l**5 - 4*l**2 + 0*l**4. What is the first derivative of h(x) wrt x?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/3)\/(22\/(-33))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 3*l**5\/20 + 5*l**4\/2 + 8*l**3 - 6774*l. Factor o(r).\nAnswer: 3*r*(r + 2)*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20233117 and 999?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = -6025 + 6058. Solve -35*u + 38*u = -q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 + 11 - 2*q + 2 to n + t*q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 2*c - 20*c + 4*c + 13*c - 14, 5*c = o - 49 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2256, 6026, 11346, 18210, 26612, 36546, 48006?\nAnswer: 60986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9756725 divided by -1951345\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(12)\/sqrt(4) - (sqrt(33)\/(sqrt(44)\/sqrt(4)))**2)*5.\nAnswer: -25*sqrt(3) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != 146\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40512479 to the power of 1\/3, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2d2 (base 16) to base 7\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.27 - 2.73. Let h = -2876 + 2876. Let u = 2 + -2.3. Which is the closest to h? (a) -5 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - 0*(-5)\/10. Let t be 10\/1 + r - 2. Solve -5*u - t = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 143.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 3*a - 2. Let z be o(-4). Suppose 0 = -k + z, 3*k + 88 = 2*c - 0*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.0980631 + -2?\nAnswer: -86.0980631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zu when two letters picked without replacement from uzzuuzzbuuuzuz?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 535834?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 652 + 266 = 2*x, -5*x + 2304 = -2*z. Calculate the remainder when x is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*u - 29902, -3*f + 9674 = -3*u - 35206. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 722 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 1}. What is prob of picking 2 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2652 - -2654. Put -5, -105, r in ascending order.\nAnswer: -105, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/3 - y**3 + 2*y**2\/3 + 4*y + 8\/3 = 0. What is y?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 79422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**2 - 28*g - 2013512 = 0.\nAnswer: -706, 713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 166163489 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j*m**2*u + 4*j*u - 2305558*j - 86200*m**2*u - 911*u wrt j?\nAnswer: -m**2*u + 4*u - 2305558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 12*t = -y - 17, 0 = -5*y - 3*t + 3. Let x = -2\/13 - -17\/26. Determine s, given that -x*s**4 + 0*s**2 - 1\/4*s**y + 0 + 0*s - 1\/4*s**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -506 - -5?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**7\/210 + k**6\/10 + 3*k**5\/5 + 56*k**2. Factor n(o).\nAnswer: o**2*(o + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.8*-2742\nAnswer: 7677.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -14375 and -14377 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 3\/1270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -164845571 bigger than -164845573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 86213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 40*a**2 + 105*a - 90.\nAnswer: 5*(a - 3)**2*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 11, 199 = -47*b + 125*q - 126*q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743645?\nAnswer: 3, 5, 116243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x + 3*x - 2*x**2 + 0 - 6927*x**3 + 4*x - 2. Let j be q(-3). What is j rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.8, -7\/5, 23\/2, 1.448, -5?\nAnswer: 1.448","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0*c)**(4\/7)*c**(2\/5)*c*c**(5\/8))**(-14) assuming c is positive.\nAnswer: c**(-727\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.2, 3710, 5078\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 12*t**2 + 10*t + 15. Let p be -1 + (3 - 1) + 1. Suppose u = p*u - 11. Calculate the remainder when w(u) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38.076 - -0.076. Let n = f - -37.76. Which is the third smallest value? (a) n (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349052.\nAnswer: 2, 3, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 + 113*v**2 + 49*v + 478. What is r(57)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/75 and 71\/315?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 328215 and -1499.\nAnswer: 326716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -74. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58142, -232575, -523304, -930335, -1453674, -2093327?\nAnswer: -2849300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -660.8 - -661. Let w be (-1)\/(-2) - (0 - 0). Which is the closest to w? (a) -4 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 761904.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m + 7. Suppose x + 0*x - 3 = 0. Let j(k) = -6 - k + k + k - x*k. Calculate -4*f(z) - 5*j(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a92cc8 - -4?\nAnswer: 4a92ccc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11574 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 8*q**2 - 16*q + 21. Let u be o(6). Is u not equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, 3, -20?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -1657?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/(17010\/(-100)))\/(205\/738).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7085, -14035, -20993, -27965, -34957, -41975, -49025?\n\"Answer: -a**3 + 2*a**2 - 6949*a - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 - -83. Suppose -1378 = f*r + 1252. Let s = 2037 + r. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**2. Let x(y) be the first derivative of 0*y**2 - 30 - 4\/3*y**3 + 0*y. Give n(x(s)).\nAnswer: -96*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c + 14*c**2 - 2*c + 13*c.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 3*c - 4*c)*(-416*c + 208*c + 336*c - 20) to u*c + p + h*c**2 and give h.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**5 + 99272*c**4*n + 27*c**3 - 107*c**2*n + 10*c**2 - 11*c - 4*n + 15 wrt c?\nAnswer: 120*c**2 + 2382528*c*n + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1067 - -2137\/2. Let v(x) be the first derivative of -4*x + 0*x**3 + 0*x**2 - t*x**4 + 8. What is the first derivative of v(m) wrt m?\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1, 2, 5, 320?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mam when three letters picked without replacement from {p: 8, m: 3, e: 3, w: 1, a: 1, u: 2}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 327*v - 64. Let b be h(-9). Let p = -1298 - b. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/450 and -81\/10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/sqrt(4))\/sqrt(2))**2 - sqrt(3) - 6*(sqrt(3) + 0)**2.\nAnswer: -15 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 5)*(1\/(-2))\/1. Let n(y) be the third derivative of 3\/2*y**3 + 0*y**4 + 1\/120*y**6 - 1\/60*y**5 + 0 + 0*y - y**2. Determine n(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -172 - -203. Let s(t) = -b*t**2 - 25*t**2 + 50*t**2. Let j(p) be the second derivative of p**3\/2 + 9*p. Give j(s(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/((-3)\/(-30)). Suppose 3*u + 3*i + 25 = -2, 4*i = 2*u - 6. Let d = u - -2. Sort m, -2, d in ascending order.\nAnswer: d, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.8873 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240051 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7371 divided by -273.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -35886195?\nAnswer: -35886196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21015 and 855.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -361, -14, -1, -5 in increasing order.\nAnswer: -361, -14, -5, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 7 + -4 + 2. Suppose 3*b - d = 7. Let f(l) = l**3 - l**2 - 3*l + 4. Let u be f(2). Solve 0 = -2*g + b*g + u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 11. Determine z(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p**2 - 15*p - 15. Let v(q) = 10*q**2 + 19*q + 17. What is 6*d(c) + 5*v(c)?\nAnswer: 2*c**2 + 5*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 480 and 660?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2860901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:36 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**3 + 4*h + 3. Let m be d(-1). Suppose 9 - 48 = -5*c - g, -2*c + 34 = m*g. Calculate the greatest common factor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -16 in descending order.\nAnswer: 5, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -511702 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 234, -392, -1436, -2898, -4778, -7076, -9792?\n\"Answer: -209*h**2 + h + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -719 - 88.\nAnswer: -807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8437.8 and -0.3.\nAnswer: 2531.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**4\/12 + 7*v**3\/6 + 3*v**2 - 31*v. Let c(g) = -g + 1. Let b be c(8). What is the units digit of i(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2072)\/((-5365)\/145))\/((10 - 1)\/(-1)).\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204919187*t**2 + 59163759*t.\nAnswer: 409838374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (108\/90)\/(32\/(-20)*1). What is the third biggest value in l, 5, -0.12?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6 - 14 = 0. Let i(r) = r - 3. Let a be i(o). Let h(g) = 5*g - g**2 + a + 3 + 1. Give h(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4002\/(-8004))\/((-2*1)\/44).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (14 - 17 - -11)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 219 + 3*r**2 - 644 + 213 + 212 - 118*r as m*r**2 + s + b*r and give b.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 97992861, 195985723, 293978585, 391971447?\n\"Answer: 97992862*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8416234 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 11. Let d be 4\/(-6)*30\/q. Suppose 0*p + d*p + 11 = 4*v, 0 = 5*p - 5*v + 10. Let l(a) = -a**3 - 2*a**2 + 2*a - 2. Calculate l(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykwczczwwzwcycxzzzz. What is prob of sequence ccx?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 18190782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 27 times -1\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 18 = -3*q - 3, 5*g - 5*q = -25. Let j be (-74921)\/(-56) + (-3)\/(-24). Suppose g*h - 5*k = 3*h - j, h - 446 = 2*k. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 30 = -5*u, -21 = y - 5*y - 3*u. Suppose -g = 2*l + l - 101, -3*g = y*l - 333. What is the smallest common multiple of g and 8?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/1125 and -94\/375?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3828 = -2*n + 4*d, -4*n - 6*d = -d - 7591. Does 56 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*f**2 + 330*f**2 + 2*f - 2*f.\nAnswer: 100*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -6*y - 17\/24*y**4 + 0 + 7\/2*y**2 + 0*y**3. Let m(c) be the first derivative of t(c). Let x(z) = z. Calculate x(m(v)).\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1454113 + -31?\nAnswer: -1454144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4221 - -4241. Solve -f*q = -16*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1))**(2\/37)*(h\/h**6)\/h*h*h*h*(h\/h**(-1)*h)\/h*h)\/((h**(2\/21)*h)\/h**(5\/3)*h**(2\/25)*h*h\/h**(1\/2)) assuming h is positive.\nAnswer: h**(-353\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 64*a = -314, 3*a + 38 = 23 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(26\/(-6)))\/(6\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -39, 5, 1, -5, 46 in increasing order.\nAnswer: -39, -5, 0, 1, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/24*(-8)\/26)\/((-47)\/39198*139)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -188 + 0*k**5 - 1\/2*k**2 + 0*k**3 - 1\/6*k**6 - 107\/4*k**4 - 68*k. Find the second derivative of m(g) wrt g.\nAnswer: -20*g**3 - 642*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -181*p - 19*p**3 - 19*p**3 - p**2 + 56*p**3 - 10*p**3 to h*p**3 + z*p + x + r*p**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 251840 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 43. Let k be (-37)\/(-4) + 6\/v. Calculate the greatest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15400 - -480. Suppose 4*q = -b + j, b + 31780 = 3*b + 4*q. What is b rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9064 in 2, -5.58, -3, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 193 and 11.\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -151440, -151598, -151756?\n\"Answer: -158*t - 151282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2846971950 divided by -5.\nAnswer: 569394390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 1) + (2 - 0). Let x(a) = 0 - 4 + 7 + a**g - 2*a. What are the prime factors of x(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.45 (b) -2\/11 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 640.\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.8 + -9.455. Let r = -1.18 - x. Let m = r - -1.5. What is m rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4373322 years?\nAnswer: 5.2479864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -106 (base 12) to base 4\nAnswer: -2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -8*o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8615, -41914, -124583, -281306, -536767, -915650, -1442639?\nAnswer: -2142418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*b - 56. Let g(i) be the third derivative of 7*i**4\/12 - i**3\/2 - 7*i**2. What is the remainder when g(4) is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 102114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10795*o = 10772*o - 207 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -1\/4*q**4 + 0*q - 3*q**3 + 0*q**2 + 4. Let z be o(-9). What is the second smallest value in -3, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010011100 - -1011011001?\nAnswer: -111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3273, 5201, 7345, 9813, 12713, 16153, 20241, 25085?\nAnswer: 30793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -0.21.\nAnswer: -6, -1, -0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/6997? (a) -2\/9 (b) 0 (c) -1.2 (d) -1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78, -502, -1244, -2328, -3778?\n\"Answer: -4*v**3 - 135*v**2 + 9*v + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l**(1\/13)*l)\/l*l*l**(1\/7)\/l)**(31\/3) assuming l is positive.\nAnswer: l**(6262\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y = -12*y. Solve -2\/7*i**2 + y*i + 2\/7 = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 310\/65 - 492\/(-2132). Factor -5*k - z + 5*k**3 + 5\/4*k**4 + 15\/4*k**2.\nAnswer: 5*(k - 1)*(k + 1)*(k + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 4*g - 3*g)*((13*g**2 - 66*g**2 + 30*g**2)*(4 + 11 - 5) + (-g + g - 2*g)*(-5 + 5 - 2*g)).\nAnswer: -452*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (((-800)\/15)\/10 + 0)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 7*p - 28. Suppose -875 = p*n - 285. What are the prime factors of 3\/(-5)*(n + 3)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 27 + 15*i)*((2 - 4 + 0)*(2 + 0 - 3) + 1 + 3 - 5 - 5 + 5 - 2).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -140 + 152. What is the remainder when 35 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 26 = 4*d, -323*d - 335*d = 2*p - 657*d - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5\/2 + 1247*s**4\/2 - 17247*s**3\/2 - 18495*s**2\/2 = 0. What is s?\nAnswer: -1, 0, 15, 1233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 25 = -j. Let x(v) = -2*v**3 - 2*v - 3*v**2 + 4*v + 2*v - 1. Calculate the remainder when x(-3) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + i + 1. Suppose 11*v - 7*v = 0. Let a be r(v). Solve 0 = j + a + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1406.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 = -2*q - 2*v, 0 = 6*q - 11*q - v + 631. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 - -11 - -37 - (-5 - 31)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141\/(-235) + ((-8208)\/10)\/(-3)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025079938 rounded to 5 dps?\nAnswer: 0.00251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-12 - -3) - -1. Suppose 0*z + 4*a + 11 = -z, -a + 21 = -z. Is (z + (-3)\/(-3))*i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 13 - 12 + 39 + d**2 - 7*d in the form r + p*d**2 + q*d and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.62 - -2.28. Let r = m - 2.4. Which is the third biggest value? (a) r (b) 1\/4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxkxxxxxxxxx. Give prob of sequence xx.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 460236328?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8*m = 3*n, -m = -n. Which is greater: m or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 22\/(-8) + 8\/4. Let g = -19.2 + 19. Let d = 3 - 2. What is the nearest to g in d, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 22*x - 136. Suppose 12*k - 364 = x*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/24 and 51\/1592852?\nAnswer: 9557112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a kilogram in grams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 k when two letters picked without replacement from ktibl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.19419mm to centimeters.\nAnswer: 0.719419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*30\/144)\/(10\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -9*f + 2*f - 2 + f. Let o be -3*(-1 + 51\/(-9)). Suppose 0 = -4*u + 4 - o. Let t(v) = -11*v - 4. Give u*t(w) + 7*m(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76483880 + -6?\nAnswer: -76483886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*l + 5*p, 16 + 13 = 4*l - 5*p. Let r = 9 - l. What is the common denominator of r and 71\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqly when four letters picked without replacement from {q: 1, l: 1, f: 1, y: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2495443275 to the nearest integer?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4784676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -48331*-54\nAnswer: 2609874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 7*g + 2*k - 2, 0 = 5*g + k - 1. Suppose -5*p = -5 - g. Let i be 0 - -2 - 0\/1. Solve -3*u = -5*l - 12, u - 4 - p = i*l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.14, -2, 2\/19, -67?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1747922*f + 1747922*f - 13*f**2.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -121111 (base 4) to base 13\nAnswer: -979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.09 (b) 3 (c) 3\/5 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 160*w**2 - 2443*w - 626. Give b(143).\nAnswer: -2342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c - 3. Let x(g) = -g + 14. Let b be x(6). Let d be u(b). Calculate the highest common divisor of 63 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9877574 + -0.1?\nAnswer: -9877574.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(3 + 14\/(-6)). Suppose 5*q - 19 = -4*l, -q + g*q = 5*l + 10. Suppose 111 = 4*w - 3*c, 3*w - 4*w + q*c + 39 = 0. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -13*w + 1. Let f be y(-1). What is the remainder when 14*(3\/(-9) - (-39)\/9) is divided by (f\/(-3))\/7 + 118\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -84*l**2 - 48 - 25 + 10*l + 94*l**2. What is the remainder when p(4) is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(2\/7)))\/x**5)**8\/((x\/(x\/((x*x**5)\/x)*x)*x*x\/x**(-2\/7))\/(((x**(1\/2)\/x)\/x)\/x)**(13\/2)) assuming x is positive.\nAnswer: x**(-1815\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 6. Let i be y(-10). Find the second derivative of 6*m**4 - 5*m - i + 36 wrt m.\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 126?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -311, -236, -135, 4, 193, 444?\n\"Answer: 2*w**3 + w**2 + 58*w - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-2)\/8)\/(35*78\/(-65520))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -73*r**3 + 10*r**2 + 11*r + 45. Let j be l(-12). Let d = j + 313503. Round d to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j - 31. Let r be c(6). Solve r*m - 2*u = 10, -1 = m - 5*u + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 - 4*i**4 + 4*i**4 + 2*i**4 - 28 + i as a*i + x*i**2 + y + c*i**4 + b*i**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - -0.1. Let x be (-120)\/8 - (-154)\/10. What is the closest to x in -12, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 45728 and 306.881766?\nAnswer: 45421.118234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**5 + 16*t**4 + 44*t**3 + 24*t**2 = 0. Calculate t.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3 = 18. Let b(l) = 9*l**2 + 5*l - 15. Let r(y) = -y**2 - 2. Let a(g) = k*r(g) - b(g). Let c(p) = -21*p**2 - 8*p + 8. Give 8*a(f) - 5*c(f).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -289 + 285. Is 5 a factor of 81 - (6 - 8) - n\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2088 and 13896?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -12 + (-7 - -85) - 30\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 0*n**3 - 3\/10*n**5 - n**2 + 0 + 0*n**4 + 9*n. What is the first derivative of y(u) wrt u?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 8*x**2 + 2. Let h(i) = i**2. Determine -2*h(l) + r(l).\nAnswer: 6*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2526*y - 2499*y = -243 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2834345 and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -8*i - 5. Let v be ((-6)\/(-7) + i)*2. Suppose -k + 3*k + 6 = 0. Which is the second biggest value? (a) v (b) -0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.4 + 8.4. Let i = -6 + 9. Let d = -2\/7 + 11\/14. What is the closest to k in -5, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, x: 15}. What is prob of sequence mm?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 350430?\nAnswer: 3854730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135.9091 seconds to microseconds.\nAnswer: 135909100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/6))**46)**21 assuming h is positive.\nAnswer: h**(-161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 12. Let a be r(12). Suppose 0 = -3*u - a*u - 3. Let v(g) = -89*g**3 + g**2. Let w be v(u). What is the greatest common factor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -7150.\nAnswer: -7149.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -1\/6*x**3 + 2*x**2 + 0 + 3*x. Suppose 29 = 14*u - 41. Let t(y) = -y + 6. Determine u*t(i) - 8*b(i).\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5668058*q**3 - 694480*q.\nAnswer: -34008348*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 702 (c) -1\/4 (d) -2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/12 + -19\/84. Let f = -2\/7 + o. What is the closest to 2\/7 in -4, f, -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1506958 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -601036*a*y - 2*a - 6*y + 35754 wrt a.\nAnswer: -601036*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-313)\/(-42) - 10) + -1 and -41\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139299 is divided by 4034.\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 106a8 + -7?\nAnswer: 106a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*y**3 - 18*y**3 + 59*y**3)*(-6 - 59*y + 6 + (2*y - 4*y + 3*y)*(4 - 3 + 0)).\nAnswer: -3422*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*t - 29307 = -4867 for t.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n - 69. Let f(c) = -c - 1. Let q(j) = -2*f(j) + v(j). What is the first derivative of q(g) wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x**2. Let g(p) = -3*p + 4. Let s(z) = 5*z - 7. Let y(f) = -7*g(f) - 4*s(f). What is y(i(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 29*o**2 + 5*o - 11. Let a(b) = 6*b**2 + b - 2. Let c(q) = 11*a(q) - 2*t(q). Let k be c(-4). Round k to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61592, 61591, 61590, 61589, 61588, 61587?\nAnswer: 61586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**2 - 10 + 2 + 4 + 3*x - x**3. Let t be j(-5). Let r be (-10)\/t*63\/(-7). Solve 5*m = 0, -5*o - 10 - r = -4*m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 46 - 43 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8792.\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(sqrt(68) + sqrt(68)*-1))\/(sqrt(576) + (2*sqrt(576) - sqrt(576) - sqrt(576)) + sqrt(48)\/sqrt(48)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 7. What is l(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*w + 486*w = -2*u - 11, -w - 8 = 3*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -940.00000797 + 940. What is x rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*x - 15, x - 3*x + 10 = -5*z. Let s = x + -11. Let u(w) = w**2 + 6*w + 4. Let m be u(s). Solve -m*f + f = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 32 = -5*u - 56, 0 = 2*v + u - 50. What is the highest common divisor of v and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is de4 - -2?\nAnswer: de6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-22)\/5 + 4)*35. Let f = -12 - s. Let n be (1\/(-1) - -4) + 5. Solve -3*a - 5*v = 6, -2*a - 5*v = f*a + n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1521432215 - -15?\nAnswer: 1521432234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20224673, -20224687, -20224719, -20224775, -20224861, -20224983, -20225147, -20225359?\nAnswer: -20225625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*i*j**4 - 25*i*j**3 - 694*i*j**2 + 2*i*j - j**4 - 4*j**3 + 11 wrt j?\nAnswer: 672*i*j - 150*i - 24*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-4)\/(-4)*1*7. Suppose -13059 = j*y - 25*y - 5*h, 5*y = 5*h + 16380. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155280 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from {a: 2, b: 3, r: 13, c: 1}?\nAnswer: 13\/57","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\/2 + 3*a**2\/2 - 6*a - 1. What is y(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -505*s**2 + 2526*s - 3. Let i be n(5). Sort 33, -5, i, 23, -1.\nAnswer: -5, -1, i, 23, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (8 - 11) + 25 - 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdddllldmpdpmdd. What is prob of sequence ppl?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-105))\/((-31)\/(-21483)*77)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s. Let m(j) = -15*j - 1. Let a(v) = -16*v - 1. Let c(k) = -4*a(k) + 3*m(k). Calculate b(c(o)).\nAnswer: 38*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11182 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -30066.2 rounded to the nearest one hundred?\nAnswer: -30100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from fftttftfttttfttt.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140659116*o**2 - 70329538*o**2 - 70329581*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 30*r + 10 - 13 + 3. Let c(k) = 14*k. Determine p(c(q)).\nAnswer: -378*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -259 + 368. Let j = -108.7 + m. Which is the second smallest value? (a) -0.5 (b) 0.1 (c) j (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 18. Let u = 28.38 - -0.62. Let i = 28 - u. Sort a, -3, i in decreasing order.\nAnswer: a, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.07, -1\/51 in ascending order.\nAnswer: -5, -0.07, -1\/51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.5, -2\/677, 5\/2, -4, -155?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 183, 182, 181?\n\"Answer: -m + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3578.8 - 0.069\nAnswer: -3578.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*((sqrt(99) + -1 + sqrt(99) + 2 + sqrt(99) - sqrt(99)) + (-3 + sqrt(99))*5)*-5)**2.\nAnswer: -8467200*sqrt(11) + 72676800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 144 + 38 = 0. Let p = -916 + 857. Let l = s + p. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1, 3, -3703?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (-2)\/(6*(-4)\/138). Let b = -15 - m. What is the nearest to b in 5, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 + 163*j**2 + 261*j + 406. What is o(-80)?\nAnswer: -1274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*s**3 + 57538*s**2 + 60519492 wrt s?\nAnswer: -9*s**2 + 115076*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011010110 (base 2) to base 8.\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4153*r**2 - 667*r + 59525159 with respect to r.\nAnswer: -8306*r - 667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 917858.5 millilitres?\nAnswer: 917.8585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*q**4 - 173 + 14*q**3 - 40*q**4 - 4*q**2 - 36*q**3 - 3*q + 173 in the form u + f*q**3 + p*q**2 + b*q**4 + c*q and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4*68.4\nAnswer: -273.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81338 - -1624423\/20. Let a = r - -118. Let x = -9\/10 + a. Put 4, x, 2\/13 in ascending order.\nAnswer: 2\/13, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.65633 rounded to 1 decimal place?\nAnswer: -18.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w - 84. Let l(n) = n - 21. Let d(s) = 2*b(s) - 9*l(s). Let a be d(-15). What is the third derivative of -5*v**3 - a + 6 - 6*v**2 wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 9. Let x be z(0). Let n be x\/(-6) - 215997\/2. Round n to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -151783 to the nearest 1000.\nAnswer: -152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*h + 30*h + 506. Let i = h - 153. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7842, 16085, 24328, 32571?\n\"Answer: 8243*q - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3657\/(-21) - (-10 - -4 - -3). Let o = 172 + b. Factor -2\/7*z + o*z**2 + 0.\nAnswer: 2*z*(3*z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862*i = 861*i - 12, 5*i + 200 = -28*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -278 + -752a2?\nAnswer: -7556a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ank when three letters picked without replacement from kknnnyakynkyyiky.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -316115 + 63010?\nAnswer: -223105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mudtmdnnnmnmmt. Give prob of picking 3 m.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t - 11. Let n be i(7). Suppose -21*j + n*j = 1820. What is the common denominator of (14\/60)\/(26\/j) and 89\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -4 - 10 - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2)*u**(3\/10)*(u*u**(-4))\/(((u**(-11\/4)*u*u)\/u)\/u))**28 assuming u is positive.\nAnswer: u**(77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 91 (b) -2\/11 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 6*f - 41. What are the prime factors of 3\/f + (-3304)\/(-16)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + 0 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -254088*n**2*w - 2*n**2 - 2644*n + 3*w wrt n.\nAnswer: -508176*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -154*i**2 - 35*i + 35. Let b(w) = -9*w**2 - 7*w - 8. Let v(s) = 9*s**2 + 8*s + 10. Let n(z) = 6*b(z) + 5*v(z). What is -2*a(x) + 35*n(x)?\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - i**2 - i - 1. Let a(g) = -2*g**3 - 4*g**2 - 36*g - 3. What is -2*a(n) + 6*c(n)?\nAnswer: -2*n**3 + 2*n**2 + 66*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 291 - 204. Suppose n = -5*c + 227. Let y = -13 + c. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 78 = 3*o + 49. Calculate the remainder when 998 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00207 to four decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxrxrrxmxmrrmxmmxxr. Give prob of picking 2 m.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 291524184 to the nearest integer?\nAnswer: 17074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (15 - (-14 - -9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 194364 by -73.\nAnswer: -194364\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26749 is divided by 4008?\nAnswer: 2701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36061 - -216833\/6. Let n = r + -78. Let c = 0.03 + -3.03. What is the nearest to 1 in 4, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**6\/40 - m**5\/10 - m**4\/8 + m**2. Factor l(h).\nAnswer: -3*h*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211.108 - 19896\nAnswer: -19684.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + r - 5. Let j be 2\/3 + (-480)\/(-36). Let u = j - 18. Calculate l(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2777 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -28?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/3 (c) -1\/30 (d) 2 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**4\/9 - 452*x**3\/3 - 188602*x**2\/9 + 2200120*x\/3 - 5765800 = 0?\nAnswer: -454, -254, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 17. Let q be m(-7). Suppose -q = l + 1. Let d be (-10)\/(-2) + l + -7. Let w(o) = -5*o - 8. Calculate w(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 84*h**2. Let w(x) = 1070*x**2 - 1. Give w(u(y)).\nAnswer: 7549920*y**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.268163mg in kilograms?\nAnswer: 0.000001268163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = v + 2*v - 5*g, v = 2*g + 11. Suppose 0 = v*y, -l = -4*l - 4*y + 2958. Round l to the nearest ten.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -141, -117, -83?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 15 = 4*u. Suppose 0*s + 5*t - 13 = -s, 65 = u*s - 5*t. What is the remainder when 24 + (8\/4 - 3) is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/170382616?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 22, 60, 116, 190, 282, 392?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.126 (b) -2\/19 (c) -8\/5 (d) 2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {o: 3, x: 2, j: 13}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 8*q - 10. Suppose -5*o = -3*f - 4*o + 120, -4*f = 3*o - 160. Suppose -f = -4*x - 2*k, 4*k + 10 = -x + 34. Determine w(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, -5.61, 4, -1 in increasing order.\nAnswer: -5.61, -1, 4\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*l = 16665, 0*u = u + 2*l - 5550. Suppose u = -4*n + 24*n. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -1\/6*t**3 + 0 + 0*t**2 - 7\/20*t**5 + 11\/24*t**4 + 2*t. Factor d(j).\nAnswer: -j*(2*j - 1)*(7*j - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 463592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -22*n - 9. What is the remainder when 38 is divided by q(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11835705.2 rounded to the nearest 100000?\nAnswer: -11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795878 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1262992, -5051998, -11367008, -20208022, -31575040?\n\"Answer: -1263002*z**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/30*2\/(-8)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 7 = -5*u + 1, z + 4*u + 5 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12700 and 6350?\nAnswer: 12700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 58*b - 9 = 55*b, 9 = 5*u + 3*b. Find the third derivative of 32*i**2 - 40*i**4 + u - 5*i**4 + 3 - 4*i**3 - 4*i**2 wrt i.\nAnswer: -1080*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, 18660, -23 in descending order.\nAnswer: 18660, -5, -11, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d. Suppose d = 17*i - 115 - 4. Solve 38 - 3 = -i*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2632\/84)\/(59\/((-2478)\/28)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 2. Let j be i(4). Does 3 divide (10\/j + 0)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372752953 to the power of 1\/4, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.2 + 11. What is the closest to s in -0.1, 1\/4, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*c = -15, -4*p + 121*c + 27 = 116*c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 396933876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107907895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + 5 + sqrt(405) + 1 + sqrt(405)))**2.\nAnswer: 108*sqrt(5) + 1629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000111101001110001 + -101?\nAnswer: -11000111101001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1311112 + 10?\nAnswer: 1311122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-66)\/(-15) + -4)*10. Suppose 2*c + 3 + 3 = -d*b, 2*c - 4*b - 26 = 0. Solve -2 - 23 = c*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -9*z**2 - 4*z + 5. Let y(q) = 5*q**2 + 2*q - 2. Calculate 6*j(c) + 14*y(c).\nAnswer: 16*c**2 + 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*s + 26*s + 3*s**2 + (3*s - 3*s - 2*s)*(2*s - 6*s - 39*s).\nAnswer: 89*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210442 (base 6) in base 12?\nAnswer: -53a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5 - l**4 + 22*l - 30*l**2 - 5*l**4 + 20*l**3 - 2*l + l**4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-872)\/(-30520)*5\/(-3).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcp when three letters picked without replacement from zzpzcczcpc?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 1. Let h be c(1). Suppose 76*i = 73*i + 12. Sort -8, h, -3, i in decreasing order.\nAnswer: i, h, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 25*q + 14. Let v be d(12). Let l be (v\/6 + 2)\/(1\/3). Let c be l\/(-14) - (-11)\/2. Let u(s) = s**3 - 4*s**2 - 3*s - 6. Calculate u(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 3*j**2 + j - 2. Let z be (-36)\/16 + (-1)\/(-4). Let a be -3*1*(-11 - -14). Let s(v) = 5*v**3 + 13*v**2 - 4*v + 9. Give a*g(k) + z*s(k).\nAnswer: -k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 54?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 5*h + n, h = -0*n - 3*n + 44. What is the greatest common factor of h and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.46861430286 plus -0.1?\nAnswer: 8.36861430286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64982132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 175230 times -0.9\nAnswer: -157707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 - -1.2. What is the third biggest value in r, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2. Suppose f = 4*f. Let m(u) = 7*u**2 + 0*u**2 + f*u**2. What is x(m(i))?\nAnswer: 98*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/5)\/((-117)\/(-39))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, f: 3, s: 3, a: 2, l: 6, d: 1}. Give prob of sequence fca.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5965*i**3 + 5969*i**3 + 5965*i**3 + 5964*i**3 + 5964*i**3 - 29823*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 3. Let m = u + -11. Put m, 0.3, 0.5 in descending order.\nAnswer: 0.5, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 4*s + 26 = 2, -3*m - 4*s + 11 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -666 - -670. Let h = 41 + -121\/3. What is the second smallest value in h, l, 21?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 242031*a**5 - 2*a**4 + 17*a**3 + 921800*a**2 + 179 wrt a?\nAnswer: 14521860*a**2 - 48*a + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1398 divided by 430.\nAnswer: 699\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*a + 1. Suppose a + 1 = -o. Let z be (0\/1)\/1*1. Put -5, z, o in decreasing order.\nAnswer: z, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {r: 1, q: 1, l: 2, x: 8, m: 7}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 17 + (-53 - -35)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 + -3)\/(2*1). Suppose 0 = c*f - 0*f. Suppose f = 2*n - 10 + 4. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p + 3*z + 142, -3*z + 14 = -p. Let r be (13\/p)\/((-2)\/28). Suppose -5*b - 8 = -r*b. Solve -28 = -m + b*m - 5*k, -2*m + k = 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 21*u**2 - 22*u - 28. Let q be o(-20). Find i such that q + 3 + 20*i**2 - 4*i**3 - 14*i - 3 - 14*i = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*(sqrt(13) - sqrt(39)\/sqrt(3)) - sqrt(13)) + sqrt(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 10195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-451)\/(-4) + (-105)\/(-420). Calculate the greatest common factor of a and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1546055 is divided by 1546048.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/(-3) - -1)\/((-33)\/(-1188)). Calculate the highest common factor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14251850 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 23907.\nAnswer: -4\/23907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - (-33 + 47) - -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -p - 0, 16 = o + 4*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f**4 - 7923699*f**3 - 35656560*f**2 - 47542044*f - 15847344 = 0. Calculate f.\nAnswer: -1320612, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 17. Determine p(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 528, 1257, 2156, 3201, 4368, 5633?\n\"Answer: -4*g**3 + 109*g**2 + 430*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3984063804 divided by -6.\nAnswer: -664010634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*i, 12 = f + 183*i - 179*i. Suppose 6*z + 4*z - 4320 = 0. Calculate the highest common factor of f and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooe when three letters picked without replacement from ooeeeoeeeeeoeeeeeo?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2777 + -2775.001. Let y = -0.001 - p. Which is the closest to -15? (a) y (b) 0.4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*r**2 - 11*r**2 - 6*r**2 - 2*r - 11*r**3 - 5*r**3 as n*r**3 + p*r**2 + l*r + g and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 167.295 - 163.1. Let z = g - -0.005. Let m = z - 4. Is m > -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6644 is divided by 265.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*m - 48, -7*d + 2*m = -3*d - 42. Calculate the least common multiple of d and 52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 98*t**3 + 2*t**2 - 2*t**4 + 100*t**3 - t**4 - t in the form u*t**4 + p + g*t + v*t**3 + r*t**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -3*t**5\/5 - 121*t**4\/4 + 2013*t**3 + 719. What is the third derivative of n(d) wrt d?\nAnswer: -72*d - 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2 + 5*q - 8. Let j(s) = 9*s**2 + 10*s - 13. Calculate 5*d(b) - 3*j(b).\nAnswer: -2*b**2 - 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w - 12. What is the remainder when 14 is divided by n(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - z**2 - 3*z)*(-18941 - 25*z + 18941)*(10 - 2*z + 25*z**2 - 8 - 2).\nAnswer: 625*z**5 - 50*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*q = -85*q - 54 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*s - 939 - 825 = 44*s for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from papu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(10)\/(sqrt(2) + sqrt(200) + (sqrt(200) - -2*sqrt(200))).\nAnswer: 3*sqrt(5)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11289, 22630, 33969, 45306, 56641, 67974?\nAnswer: 79305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8216201 + 6?\nAnswer: 8216207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*j + 79 + 97 + 400. What is the greatest common factor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 447 + -45. Let z = p + -186. Let r = z - 37. List the prime factors of r.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111011011101100 - -10000011?\nAnswer: -1000111011001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.343084 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 3:02 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 + 2*s + 3. Suppose 18*l + 55 = 13*l. Let z(i) = 10*i**2 - 11*i - 16. Determine l*b(j) - 2*z(j).\nAnswer: 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 13225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 270*a**2 - 229*a + 1108. What is the tens digit of h(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 - -97. Suppose -2*l + d*j + 180 = 0, j = l - 2*j - 100. Let t = 89 - l. Solve 4*b = t*v + 16, 3*v + 0 = -2*b - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g - 3. Let l be c(-1). Which is bigger: l or -1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1479524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -483, -965, -1445, -1923?\n\"Answer: i**2 - 485*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.4369 - -0.0869. Let o = 0.35 + g. Let v = o + 21. Which is the third smallest value? (a) 5 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 3513 = -1793. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-3)\/(-1)) + 755. Calculate the greatest common factor of n and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*n + 2630 = -109*n. What is the smallest common multiple of n and 494?\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 119 + -75. Let b be (-22)\/(-10) - (-2)\/(-10). Suppose 16 - 74 = b*t + 5*l, 0 = -t + 5*l - g. Round t to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34439*12.636\nAnswer: -435171.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + 52*m - 213. Give t(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -8*j + 6*j. Suppose 4*r - j = 7*r. Let z be (56\/35)\/(r\/(-10)). Solve -2*k + 18 = -2*s, -2*k + 26 = -z*s - 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Let x = 12 + -17. Let s = -4 - x. Solve -s = 2*d - i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2417 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-13)\/(-2))\/((-14)\/(-168)) and 30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4198 minus 425652?\nAnswer: -429850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19123.\nAnswer: 13, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (90\/54)\/(5\/3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i - 292 = 0. Let n = i + 21. Round n to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 8*n + 6. Suppose -2*r - 10 = 6. Let i be b(r). Let t = -6 + i. Solve l + 2*l - 15 = t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from mvzvcvqvvvzvcvcvv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -836 - -1632. Suppose 0 = 5*t + i - 3321. List the prime factors of t.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t. Let q(h) = 11*h + 82. Determine u(q(d)).\nAnswer: 66*d + 492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*m - 118 - 98 - 351 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1785144\/5 smaller than -357028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 580943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 3*v**2 - 5*v - 2. Let j be o(-4). Let t be ((-3)\/(-3))\/(-1) - -3. What is the third derivative of -3*g**j - g**t + 6*g**2 + 2*g**6 wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157984?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((3 - 2) + 0)\/(-1). Let f(u) = -3*u. Let r be f(h). Let n be r\/(-6) - 15\/(-2). Calculate the highest common factor of 49 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(i\/(i**(1\/3)\/i)))\/i))**(-22)*(i**1\/i)**(2\/19) assuming i is positive.\nAnswer: i**(-176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1676571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = y - 8, 113*y - 11 = -l + 111*y. Let q(h) be the third derivative of 0*h + 0*h**3 + 0 + 1\/30*h**l + 12*h**2 + 1\/8*h**4. Determine q(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 36 = 7*t. Let l be ((-26 - -13) + 4)\/((-1)\/9). What is the highest common factor of t and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*h*n - 6565*b*h + 2*b*n + 208*b + 960*h*n + 102*n with respect to n.\nAnswer: -b*h + 2*b + 960*h + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 461*f*s**3 - 58*f*s**2 + 28*f*s*z**2 + f*s*z - 1306*s**3*z**2 - 63*s**2*z**2 wrt s.\nAnswer: 2766*f - 7836*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-453)\/(-13) - (1 + (-30)\/26). Which is bigger: 14 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 + 2.252. Let c = -0.04799903 - v. What is c rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145305.\nAnswer: 3, 5, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Suppose -g*n + 2*l = -3*n + 41, n + 5*l = 53. Calculate the remainder when n is divided by (-12)\/9*-3*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*y**5 + 2913660*y**4 + 36126860*y**3 + 153826960*y**2 + 242391360*y + 74581760 = 0. Calculate y.\nAnswer: -116534, -4, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from {t: 1, b: 4, k: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/88*(-136)\/(-238).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165166 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mff when three letters picked without replacement from {f: 6, m: 4, q: 10}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l - 9. What is r(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-9))\/((-1)\/(-9)). Find the second derivative of -4*n**b + 4*n**3 + 6*n + 4*n**4 - 2*n wrt n.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16565.118 * -0.026\nAnswer: 430.693068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 142151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 83, 0.2, 2 in increasing order.\nAnswer: 0.2, 2\/7, 2, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-265)\/(-20) + (-2)\/8 + -4 + 8.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/10 and (3\/(-4))\/((-16)\/(38080\/(-450))).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2056613 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77.512 - 5.288. Let v = 69654 + -69736.8678. Let o = g - v. What is o rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147167 + -1932201983.\nAnswer: -1932349150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9176745*h*n**2*r + 341*h*n*r + 3*h*n + 9*h*r + 20*h - 3*n**2*r + 2*r wrt n.\nAnswer: -18353490*h*r - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*w + 15*w + 15605. Let c = -1033 + w. Suppose 9*m - c = 14913. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/15 - 4*i**3\/5 + 224*i**2\/15.\nAnswer: -2*i**2*(i - 8)*(i + 14)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 9*i**2 + 2. Let w be q(9). Let s be 3*w*6\/4. Suppose 5*f + 9 = 3*o + 4*f, 3*f = -3*o + s. What is the remainder when 5 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 640277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 8\/551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, 40, 2, -0.8, -0.5 in decreasing order.\nAnswer: 82, 40, 2, -0.5, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1594987 minus 8?\nAnswer: -7.8405013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11129*z - 11127*z = 28. Solve 4*n - 10*n = z*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from zooioiii.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s - 32. Let t be g(8). Let k = t + -7. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013 times -2277?\nAnswer: 2.9601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + 11. Suppose -2*s + f = 9. Let q = 17 - s. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014846 rounded to five dps?\nAnswer: -0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7643, -7641, -7637, -7631, -7623, -7613?\nAnswer: -7601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 0, 2*h - 34 - 12 = -3*n. What is the remainder when 91 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**7\/2520 + q**5\/60 - 77*q**4\/24 - 36*q**2. Let v(d) be the second derivative of j(d). What is v(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/(-82) - (27\/(-12) + 2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.243 and -0.1?\nAnswer: 1.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(117) - (sqrt(117) - -4*sqrt(117))) + sqrt(117) - -6*-3*sqrt(117))\/(-1*sqrt(1296) + (sqrt(9)*4 - sqrt(9))*1)*-4.\nAnswer: -116*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -1 + ((-6)\/2 - -4). Solve -4*k = n + 2, n + 5*k = d*n - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 6 + 11*a - 8 + 13*a**2 + 6. Let s be v(-12). Solve -s + 2 = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12572*s + 9*s**2 - 12572*s - 16*s**2 + 14*s**3 + 7*s**2.\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314786151 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/294489 and -17\/10.\nAnswer: 2944890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/5 + 16*b**2\/5 + 13*b\/5 - 6 = 0. What is b?\nAnswer: -15, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*f - 5. Let s be -140*(-4 + (-26)\/f). What is the greatest common divisor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7258.\nAnswer: 2, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2365115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 47*q. Let n(a) = -112*a**2. What is n(g(v))?\nAnswer: -247408*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13244971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1169604 * 2\nAnswer: -2339208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - c = 11 + 7, -c + 2 = 0. Suppose 88 = -j*d + d - 4*z, -4*z = -d - 17. Which is greater: -20 or d?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -2\/9 (b) 0.1 (c) -69 (d) -0.082 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 - (19 + -8 + 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, -4\/3, -1.3, -0.12.\nAnswer: -4, -4\/3, -1.3, -0.12, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-10))\/(48\/20 - 2). Suppose -2*u = u - 3. What is the third biggest value in u, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -2\/275117261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 5)*(0*l + l - 4*l) - 2 + 2*l + 2 + (-4*l + l + 2*l)*(0 + 4 - 3) in the form a*l + q and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-1)\/c))**26\/(c\/((c*c**(-5)*c)\/c)*c*c**(-1\/2)) assuming c is positive.\nAnswer: c**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 3*b + 33, -17*l + 16*l + 2*b + 37 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 at least 576826\/1895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 2*k**5\/5 + k**4\/12 - k**2\/2 + 3*k - 1. Let j(d) be the first derivative of s(d). What is j(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + -249. Let v = n - -409. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/44 and -87\/1447736.\nAnswer: 15925096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 954.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/2 - 9386*q - 44048498 = 0. What is q?\nAnswer: -9386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4735, -4607, -4399, -4093, -3671, -3115, -2407?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5285 and 0.06046?\nAnswer: 5284.93954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(891)*2 - sqrt(891)) + (3*sqrt(891))**2*6 - ((sqrt(891) - (sqrt(891) + sqrt(891) + 3))*-5 - (sqrt(891) + sqrt(891) + sqrt(891)*-2)*-2).\nAnswer: 36*sqrt(11) + 48099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 267*r + 412*r - 10432*r**2 - 3439*r**2. Let t(o) = -102*o**2 + 5*o. Let s(q) = -5*i(q) + 679*t(q). Let z(x) = -2*x**2. Give z(s(d)).\nAnswer: -18818*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54087468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from tuuuuuuuuutuututtt.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (17 - 15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 26 = 5*b, -6*b + 5*w + 8 = -9*b. Let c(u) = 5*u + 7. Let r(x) = -x. What is b*r(m) - c(m)?\nAnswer: m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -153, -348, -621?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -558 + 563. Solve -4*p - 5 = 3*n, -40 = -3*n + m*p - 0*p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 15*s + 10 = 0. Solve -6*y + 3*y = s*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -5c?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((3*sqrt(6480) - sqrt(6480)) + sqrt(6480) + sqrt(6480))*5)\/(-3*sqrt(9)*2 + (sqrt(36)*-3)\/sqrt(4)).\nAnswer: 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -2. Let n(o) = o**3 + o**2 - o - 2. Let r be n(0). Let a = 39 - 34. Sort r, k, a in ascending order.\nAnswer: k, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 9*f**2 - 2*f + 4. Let t be n(10). Let p = t - 50. What is the remainder when p is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-18) - 224\/360.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/63 and -44\/24152625?\nAnswer: 24152625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43918.\nAnswer: 2, 7, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -1, 3, 161 in increasing order.\nAnswer: -1, 3, 30, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99997*y**2 + 5967 + 100005*y**2 - 5967.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*n - 508, n = 3*l + 2*n - 768. Let q = 258 - l. Solve -20*m + q = -19*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.06 (c) -512012\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63450507 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (569*s - 28576 + 28576)*(4 - 2 + 1)*(1 + 0 + 1)*(1 + 0 + 1) in the form m + i*s and give i.\nAnswer: 6828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -5. Let b(v) = -575001*v**2 + 3*v + 4. Let a be b(k). Round a to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -1\/5 (c) -77 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/5 - 219*p**2\/5 + 1032*p\/5 - 816\/5.\nAnswer: 3*(p - 68)*(p - 4)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23\/46*(1 + 3). Suppose 86 = r*w + 24. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111000100101001 (base 2) in base 13?\nAnswer: 22140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -10. Let u = 0.1 - 1.1. Let n = u + w. What is the third smallest value in 2\/3, -3, n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 180*x - 29. Let o be y(0). What is the nearest to -0.1 in 69, o, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223805.5t to micrograms.\nAnswer: 223805500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x**2 - 22*x - 12. Let m be k(-4). Let d(c) = -4*c**2 - 139*c + 7. Let z be d(m). Is -173 equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - 6*p**3 - 49*p**2 + 112*p**2 - 63*p**2.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d**2 - 3*d - 3. Let r be h(-1). Let m(b) = b**3 - 10*b**2 - 8*b - 24. Does 9 divide m(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 184 = 126. Let j(t) = -t + 2. Let s(d) = 5*d - 9. Let r(l) = 9*j(l) + 2*s(l). Determine r(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 28*w - 873. What are the prime factors of g(53)?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(567)*2 + sqrt(567) - (-1 + sqrt(567)*2))**2.\nAnswer: 18*sqrt(7) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 4 - 7)*(61*j**2 + 42*j**2 + 264547*j - 264545*j).\nAnswer: 618*j**2 + 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.01 - -0.01. Put -0.5, 4, -2\/7, r in descending order.\nAnswer: 4, -2\/7, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 3*s - 1\/12*s**4 - 5\/6*s**3 - 2*s**2 + 0. Give v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4151150 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -56. Suppose 0 = -v - 2*v + 6. Let 5*f**3 - v*f**d - 3 + 2*f**2 + 13 - 15*f = 0. What is f?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*p**2)*(-1 + 15 - 3)*(0 + 0 - p)*(-p**2 - 2*p**2 + 2*p**2 + (-1 + 3 - 1)*(3*p**2 - 2*p**2 + 2*p**2)).\nAnswer: -44*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b - 10?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9143400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.1821 rounded to 1 decimal place?\nAnswer: -13.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494 + 389*y - 477 - 391*y.\nAnswer: -2*y + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 7*w**4\/24 + 40*w**3\/3 + 138*w**2. Is k(16) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/352978 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 837676987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**2 + 4*g**2 - g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2647724295 to the power of 1\/2, to the nearest integer?\nAnswer: 51456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225 (base 7) to base 9.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from {k: 1, f: 1, t: 1, m: 2, v: 2, y: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -903 times 5?\nAnswer: -4515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 104 - 30 - 39 - 35 + 2*f**2. Let q(o) = -3500*o**2. Determine v(q(x)).\nAnswer: 24500000*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + (-5 - -1 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -194\/341 + 12\/31. Let d = -0.04 - 13.96. Let s = d + 16. Which is the second smallest value? (a) z (b) -2\/19 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/394*86\/(-172). Are v and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7067159 from 0.05478751.\nAnswer: -7067158.94521249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.7571 to 1 dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/12 - -22*740\/32?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9512 divided by -103739.\nAnswer: -9512\/103739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4 - 2*f**2 + 3 - 3*f - 3. Let s(o) = 3*o**2 + 5 - 2*o + 2*o + 4*o. Suppose 2*l - 4*a = -l + 9, -8*a + 4*a = 0. Calculate l*s(n) + 4*w(n).\nAnswer: n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1146 and -0.04206.\nAnswer: 48.20076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244414 is divided by 307.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200\/(-60)*(-1)\/(-2)*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - t + 8, -4*f + 99*t - 98*t = 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y + t + 2 = 0, 3*y + t + 2 = 0. Suppose y = -8*c - 27093243 - 10506757. What is c rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - -147. Suppose 3*k = -0*k + a. Does 5 divide k\/(-21)*14\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4611 - -13832\/3. What is the closest to o in 2, -8\/7, 13?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 - 2*z - 2 + z**3 + 7*z**2 + 10*z + 8*z**2 - 9*z**2. Calculate m(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 at most -94.335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 15054600 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**7\/1680 + 17*t**6\/60 + 289*t**5\/5 + 13*t**4\/4 - 32*t. Let f(l) be the third derivative of j(l). Factor f(x).\nAnswer: 3*(x + 68)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.5, -7, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s**3 - 3*s + 3. Let n(j) = 3*j**3 + 8*j**2 - 15*j + 5. Let t be n(-4). Calculate w(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j. Let x(i) = 181 + 181 - 537 + 175 - 59*i. Give x(w(y)).\nAnswer: -59*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-1)*n))\/n**(-2\/7)*n**(-2)*n**(2\/3) assuming n is positive.\nAnswer: n**(-64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**2 + 24*w + 2. Let b be d(5). Let i(r) be the third derivative of -r**5\/60 - r**4\/6 - r**3\/6 + 3*r**2. Determine i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 11, m: 2}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u - 3*u)*(-u**4 - u**4 + 0*u**4)*(7 + 9 - 12 + (3 + 2 - 7)*(1 - 1 - 2) + 5 - 2 - 2 + 0 - 1 + 9).\nAnswer: 34*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.03, 5 in decreasing order.\nAnswer: 5, 1\/4, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 8*v**2 + 52*v + 18. Give z(12).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t - 2. Let r(p) = -7*p + 4. Calculate -4*r(f) - 7*v(f).\nAnswer: 7*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(36)*1)\/sqrt(6))\/(-3*sqrt(2)*-6) - (-1 + (sqrt(192) - (-1 + sqrt(192))*-4) + -5))*3)**2.\nAnswer: -7190*sqrt(3) + 527761\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*d + 26*d - 19*d + 1462 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -36.67. Let z = 0.03 - c. Suppose 5*q + 3*g + g - 31 = 0, -2*g = -4*q + 4. What is the closest to -0.1 in q, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -25, 63, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -173, -1587, -5425, -12899, -25221, -43603?\n\"Answer: -202*c**3 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**3*z - 13*d**3 - d**2*z + 74*d*z wrt d?\nAnswer: 24*z - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6760 - 7327 = -81*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -187486 or -187293?\nAnswer: -187293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from hllhlllhlhhlllllhl?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 - 101 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4466*t - 199*t = -391*t + 1282*t - 338916 for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -432396 (base 10) to base 5.\nAnswer: -102314041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 - 568 = -7*s. Suppose 0 = z - s - 93. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9152 divided by -11\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 11:12 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771 is divided by (17 + -12)*((-7791)\/35)\/(-7)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -1907e?\nAnswer: 1907d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 33*o - 24. Let z(w) = 2*w**2 - 34*w - 24. Let m(u) = 6*p(u) - 5*z(u). Factor m(l).\nAnswer: -4*(l + 1)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.9 - -15. Which is the closest to 1\/3? (a) g (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30600 and 137700?\nAnswer: 275400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 181\/(8\/(-6) + (-7)\/(-21)). Let d = 301 + y. Suppose 0 = 3*i - 4*q - d - 473, 0 = 4*i + 2*q - 754. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0 + 0)*(434*w - 189 + 189) - 10*w**3 + 4*w**3 - w**3.\nAnswer: 427*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5585 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 + -31. Suppose -134 = -3*x - 17. What is the remainder when x is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106812 and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 1. Let x(l) = l**2 + 2. Suppose -2*c = -2*i + c - 17, -c = 3*i - 2. Give i*o(b) - x(b).\nAnswer: -2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-3))\/((-3)\/36). Let y = 14 + n. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5 = -26*k + 24*k, 5*u = 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1024*r**2 - 657*r wrt r.\nAnswer: 2048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -7. Let h = t + 24. Suppose -h = -3*a - 2. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 177*j + 175*j = 11, 2*q + j - 8 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(-36)*(r**(2\/23)*r)\/r)**(5\/12))**37)**(-9\/5) assuming r is positive.\nAnswer: r**(21645\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015022475 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 22*4\/8 + (-11)\/(-88)*8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 850.8, 3\/2, 2\/11, -1, -5 in ascending order.\nAnswer: -5, -1, 2\/11, 2\/3, 3\/2, 850.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 456848 (base 10) in base 6?\nAnswer: 13443012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34165 divided by 34165?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -65348405863180.\nAnswer: -65348405863175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w - 8*w**2 + 27*w - 50*w.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*x + 3*y - 7*y + 172 = 0, 153*y - 158*y = x - 3*x - 33 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.8 + -2.9. Let z = u + -18. Sort 2\/11, -2\/13, -0.5, z in increasing order.\nAnswer: -0.5, -2\/13, z, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4520 < 4521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (14\/3)\/(28\/12 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-3 - -5)) + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5*-3)\/(18\/120)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 540765.54 seconds?\nAnswer: 150.21265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pptitpppiltwipipl. Give prob of sequence wiil.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 15*w + 267. What is q(-26)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - 4*k + k + (7 - 7 + 4*k)*(-7 + 1 + 1)*(0 + 1 + 1).\nAnswer: -43*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 + 54. Suppose 3*g + a*d - 33 - 43 = 0, -3*d = -5*g + 104. Solve 0 = 12*m - 2 - g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdsdssdssdds. Give prob of sequence sssd.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2*(-163)\/(3136120\/(-1248))?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21917102 and 4?\nAnswer: 87668408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2977893601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.4475554 to 2 decimal places.\nAnswer: 36.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-171)\/6*(-24)\/9. Let f(d) = 101*d - 5. Let s be f(1). Let k = -96 + s. Sort k, 5, -3, y.\nAnswer: -3, k, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208301723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/10 and 21\/18 + (-22301)\/9570.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1, -4, 0, -2\/7 in ascending order.\nAnswer: -4, -1, -2\/7, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**3 + 25*i - 115 wrt i.\nAnswer: 3*i**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/3591229 and 57\/30826.\nAnswer: 7182458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {m: 4, d: 3, n: 5, z: 3, c: 4}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*f - 2*f + 0*f - f in the form q*f + m and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 12 = -3*q, 2*g + 6 = 3*q + 9. Suppose -i + g = -8. What is the second derivative of 5*w**4 - i*w**4 + w + 3*w wrt w?\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13804404?\nAnswer: 2, 3, 37, 31091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82217203.\nAnswer: 23, 61, 58601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16706, 136852, 462956, 1097996, 2144950, 3706796, 5886512?\n\"Answer: 17163*b**3 + b**2 + 2*b - 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*f - f = -2, f - 77 = 4*l. Let i = l - -124\/7. Let h = -18 + 18.2. Is h at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -34. Suppose -w = 5*f - 0*f. Let x(l) = l**2 + 4*l - 4. Let y be x(-5). Sort f, 4, y in descending order.\nAnswer: 4, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.06, 3, 6, 0.1, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 + 6*b - 6. Suppose 0 = 3*k, 2*u = 7*u + 5*k + 30. Let h(q) = -9*q**2 - 13*q + 13. What is u*h(c) - 13*t(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*s**2 - 8*s**3 + 38927 - 38927 + 3*s**3.\nAnswer: -5*s**3 - 117*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 623*v**6\/60 - 6389*v**5\/60 - 1518*v**2 + 2*v. What is the third derivative of n(j) wrt j?\nAnswer: 7476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.67 + 34.9634. Let h = -0.049 + c. Let r = -0.23 + h. Round r to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110110110 (base 2) in base 13?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 14 = 2*g + 4*v, -g = -3*v - 8. Suppose 0 = 7*k - g*k + 15, 3*b = 4*k + 18. Solve -6*r = -b*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288081967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -16*f**2 + 4435*f - 274065. What is z(93)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -14. Suppose -5*c + c = -m - 8, -2*c = d*m - 70. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of (-614767)\/(-138) + 4\/(-48)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 g when three letters picked without replacement from {f: 2, g: 5, b: 1, v: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 430 = s, -2*x + 78 = -4*s - 146. Suppose -119*m = -x*m + 3014. Round m to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -928*g**2 - 6510*g + 33. Determine b(-7).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -1 - 0 - (-375 - -377).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2\/71, 1\/4.\nAnswer: 2\/71, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388359738 + -35.\nAnswer: 388359703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.40608 and 9760.\nAnswer: 3963.3408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 9*g + 4 = 0. Let k = 4 - 2. Put g, -4, k in decreasing order.\nAnswer: k, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -565? (a) -0.4 (b) 0.1 (c) -26246\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 6. Let u(v) = 11 - 6 + 1 - 1. Determine 5*q(f) + 6*u(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i - 2*i - 2*i**3 + 2*i - 4*i - i**2 - 2*i**4 to a*i**4 + g*i + n*i**3 + d*i**2 + w and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.50048922 rounded to 2 decimal places?\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from yyccyyycyyccyyyyyc.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-6) - 462\/36. Let n be ((-54)\/a + -4)\/((-2)\/(-96)). Calculate the greatest common divisor of 24 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 76 + 73 + 43 + 44 - 100 + 62.\nAnswer: -4*z**2 + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -930418, -1860833, -2791248, -3721663, -4652078?\n\"Answer: -930415*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 2 - 1)*1. Let q be 2*4*s\/(-16). Suppose 13*r - 714 = -805. What is the closest to q in r, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2eeeb5 (base 15) in base 5?\nAnswer: 1040344240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 429126889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + 7*d**2 - 802*d - 3187. Calculate b(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2\/9, -0.4, 11, -50\/11, 5?\nAnswer: -50\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m + 7. Let u(n) = n - 1. Let w be (-5 - -8)*3\/(-1 + -2). Give w*u(o) - v(o).\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 102560100 divided by -12?\nAnswer: -8546675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 8*d - 7*d - 3*d. Let h(j) be the second derivative of -j + 0 + 0*j**3 + 0*j**2 - 1\/6*j**4. Give h(x(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 7*m + 8. Let f be 3 - ((-11)\/(-4))\/m. Let g = -6 - -5.4. Which is the smallest value? (a) g (b) f (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/48510 and 185\/90552.\nAnswer: 1358280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 830325.2g in micrograms?\nAnswer: 830325200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 9) in base 16?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3085, 19461, 62451, 145363, 281505?\n\"Answer: 2218*j**3 - j**2 + 853*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3012149 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + 5*g - 5*g)*(1 - 1 + 1).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 179.\nAnswer: 3\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1467434*o**3*w + 2*o**3 - 4*w + 1507470 wrt o?\nAnswer: -4402302*o**2*w + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 2, r: 2, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1793 + -1593. What is the least common multiple of 75 and a?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(0 + 2 + -265). Let p = -184 + v. What is the remainder when p is divided by (2\/24*-2)\/(2\/(-4))*81?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.1070889 kilograms?\nAnswer: 107088900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, -186, -167, -148?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - ((6 - -1) + -20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35423692 is divided by 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 - -5.09. Let i = h + -7. Which is the third biggest value? (a) -1\/2 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(0 + 0 - w**2) - 2 + 2 - 2*w**2 - 3*w**2 - 3*w**2 + 4*w**2 - 25*w**2 - 20*w**2 + 60*w**2.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -5*j + 18, -5*j + 23 = -5*m - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*k + 8. Suppose -3*c - h = -k*c - 12, 3*c - 36 = -h. Solve c = -4*u, -3*q + q - 9 = u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -19\/7 (b) -4 (c) 1\/4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6718508*m**4*o*q + m**4*q + 3*o - 855*q + 99 with respect to m.\nAnswer: -26874032*m**3*o*q + 4*m**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -17554, -4, 0.5, 2426?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15211 and 704529.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 97002 and 64668?\nAnswer: 194004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 2*u**2 + 2*u + 19. Let c be l(-3). What is the third smallest value in -164, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 14) in base 15?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 2064 = 86*d + 73*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6849 is divided by 933?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-88)\/(-9) - 4\/(-18). Let g(h) = h**2 - 7*h - 30. Let a be g(9). Let f = a - -15. Solve f*j = -2*j - k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + 3.05. Let u = 0.034 - 0.104. Which is the nearest to 0.1? (a) u (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -441, -880, -1319, -1758?\n\"Answer: -439*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 646 or 0?\nAnswer: 646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10940537?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31\/2 - 275\/18. Let o(r) = -r**2 - 14*r - 10. Let c be o(-13). Let j = 1 - 1. What is the closest to h in 0.1, j, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11143 + -1003133?\nAnswer: -441440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (621\/(-720) - (-28)\/35)*12\/5?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 2)*(1 + 1 + 0) + 2 - 5 + 2 + (-1 + 2 + 0)*(3 - 6 - 3) + 3 - 1 - 5)*(-21*z - 22*z + 12*z).\nAnswer: 372*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*v - 1, 3*x + 6*v = 11*v + 10. Solve -p + 6 = 2*t - 0*t, 0 = -x*t + 2*p - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.315 times 0.2\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/7 + 8)*2*1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(132)*2)\/sqrt(12) + 0)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77300806 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2172)\/905)\/(((-3159)\/(-180))\/39).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -2. Let b be (4\/z - 1)*-1. Suppose r + 3*r - 16 = -4*t, -3 = b*t. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*c + 4 = 0, -4*c = 3*n - 2 - 1. Let g(r) = -2*r**2 + 10*r + 16. Let x be g(6). Solve x*m - n = 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 7*x + 17. Let u be d(-9). Let h = 4 + u. Suppose -r = 4*p - 254, -2*r = -0*p - h*p + 196. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -28. Suppose s + 4*s + 5 = 0. Sort k, -3, s in increasing order.\nAnswer: -3, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 3209 (b) 1\/2 (c) -2\/9 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l - 31. Give h(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 + 31. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -6 - -9 - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 439\/3 + -146. Is -35 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.42 + -55.58. Let q = 56.8 + z. Which is the biggest value? (a) 0.09 (b) -0.4 (c) q (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076800 less than or equal to 1076774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.7959 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssmsymhghmhssmss. Give prob of picking 1 h, 2 g, and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 24) + (3 - 8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 690 and 2849700.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7886186753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffhfhffffhfff. Give prob of picking 1 f and 1 h.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-436)\/(-40) - ((-145)\/(-50) + (-205)\/82))*2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45196 (base 10) to base 13.\nAnswer: 17758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21327 + -21438. Which is smaller: 86 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1 + sqrt(80))*6 + (sqrt(15)\/sqrt(3) - sqrt(5)) + -4 + -2)**2*2*4.\nAnswer: 23040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 - -1.45105.\nAnswer: 1.48105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 143 + -139. Suppose -c*l - 1120 = -0*z - 5*z, l - 435 = -2*z. What is the highest common divisor of 44 and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296632 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**1)\/s)\/s)\/s)**(-46)*s*s**(1\/7)*s*s\/(s\/(s**(-2\/3)\/s)) assuming s is positive.\nAnswer: s**(2908\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 874546 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 s when four letters picked without replacement from {s: 1, b: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1830*r + 1833*r + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - (-14 - -12)) + 8. Solve v - 6*v - 2*f + 23 = 0, 5*f = -q*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-4))\/i*i\/i**(1\/2))**19\/((i**2\/(i**(2\/13)*i*i*i*i*i))\/(i**1)**(1\/15)) assuming i is positive.\nAnswer: i**(-24679\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 8 = -13. Let f = b - 11. Let d = 363.1 + -363. What is the closest to d in f, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + z + 2)*((-1 + 3 + 0)*(2 + 5 - 4) + 0 - 1 + 0 + (1 - 4 + 4)*(3 + 0 + 0))*(5*z - 29*z - 47*z).\nAnswer: -568*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1630 and -56\/4075?\nAnswer: 8150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-66)\/(-9))\/(10\/645) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**2 - 36754136*o - 84429157069156 = 0.\nAnswer: -4594267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1258?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 - 83.1. Round u to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14313716456.6805002 + -14313713579. Let i = v - 2882.0805. Let b = i - -4.4. Round b to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14786, 31827, 48868, 65909?\n\"Answer: 17041*y - 2255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - b - 1. Let i(w) = 2*w**3 - 5*w**2 - 81*w + 10. Let h(f) = 5*d(f) + i(f). What is the derivative of h(p) wrt p?\nAnswer: 6*p**2 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3.58 (b) -2\/13 (c) -6\/5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9232\/13 - -5 - (-4)\/(-26). Let z = -691 + p. What is the least common multiple of 243 and z?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 11 = 2*y - 1, 4*w - 33 = -5*y. Suppose 2*z - w = 14. Differentiate -1 - 55*x**3 + 11 + 33*x**3 + z wrt x.\nAnswer: -66*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.54 + 0.16. Let q = 353976 + -353980. Which is the smallest value? (a) p (b) q (c) 11 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 11. Let s be n(-17). Let k(u) = 525*u - 2. Let t be k(s). Suppose 9*p - t = 10829. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 7 + 18. Suppose 0 = -7*k + 4*k - 5*t + 4, 0 = y*t + 5. Suppose -n + k*l - 100 = 0, -7*n + 3*n - 370 = 3*l. Round n to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113860867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvxxxxxx. What is prob of sequence xxx?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -48 - 762. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 579 or -1356?\nAnswer: 579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -0*m. Solve 5*f = -m - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**5\/8 + 477*l**4\/2 - 150729*l**3\/4 - 152163*l**2\/2 - 305283*l\/8.\nAnswer: -3*l*(l - 319)**2*(l + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 16?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(-2\/7)\/j))**(-2\/13))**(-3)*(j**7\/(j*j**(-3\/4)))\/(j*j**(-4\/5)*j\/(j*j**(2\/9))*j) assuming j is positive.\nAnswer: j**(119389\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 762 - 210 = -73*k - 664 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (-1*sqrt(170) + sqrt(170)))*-6)\/(sqrt(10) + sqrt(160)*-4 + sqrt(10)) - ((-3*sqrt(272)*3 + sqrt(272))*6)**2.\nAnswer: -626688 + 3*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is -1.6672844 rounded to 3 dps?\nAnswer: -1.667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:24 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 11*g**3 + 5*g - 7. Let y(u) = -23*u**3 - 17*u + 19. Let i(q) = 11*q**3 + 8*q - 9. Let l(j) = -13*i(j) - 6*y(j). Give 7*l(h) + 3*r(h).\nAnswer: -2*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -4 (c) -876 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000350842255 rounded to five decimal places?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*w + r + 14, 2*w = -r + 11. Let j = -6 + 4. Let s = w + j. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 28*b - 6*b)*((-1 + 1 - b**2)*(2 - 4 + 3) + 3*b**2 + b**2 - 2*b**2).\nAnswer: 26*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 + -53. Suppose 0 = 4*l - 7 + 27, 33 = -y*m - 5*l. Which is the nearest to -1\/3? (a) m (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-5) + 6*34\/(-255).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**2 + 0*z**2 + z**2 + (1 - 2*z - 1 + (-3 - 2 + 6)*(z + 3 - 3) + 224*z - 184*z + 103*z)*(-2*z - 2*z + z + 1) in the form s + c*z**2 + x*z and give c.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, m: 2, a: 1}. What is prob of sequence mdm?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55843657.\nAnswer: 17, 3284921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1451, 977, 429, -229, -1033, -2019, -3223, -4681?\nAnswer: -6429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + -39 - (7 - (7 - 2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -623963*d**4 + 16807925.\nAnswer: -2495852*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1242 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 3494.\nAnswer: 6988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-130)\/(-30)) + 1*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1136 - 811. Let r(f) = -40*f + 1025. Let t be r(25). What is the greatest common factor of m and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 18816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123 and 1478501?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 10:14 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**3 + 1465. Let y(p) = -32*p - 7. Determine y(s(a)).\nAnswer: -96*a**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686 is divided by 357.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1710252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345464 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2 = a, 24*a - 11205*r + 11203*r = 322 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-613 + 297 + 299 + (-2 - 1 - 1)*(3 - 1 + 3))*(-2*x**2 + 2*x**2 - x**2).\nAnswer: 37*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/3 - 850*i**2 - 270512*i + 814088\/3.\nAnswer: -2*(i - 1)*(i + 638)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - -169. Let k = s - -49. List the prime factors of k.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1286352320 to the nearest integer?\nAnswer: 35866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 73 + -1552a?\nAnswer: -15477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 5, -101 in descending order.\nAnswer: 5, 2, -1, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + i**2 - i - 1. Let b(j) = -20 + 0 - 3*j**2 + 3*j**3 - 4 - 2*j + 4*j. Let s(t) = -2*b(t) - 4*c(t). Is s(0) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.21 in 0.146, -4\/9, 0.61, 1\/4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-48) + 5038\/16. Let q be (0\/1 - 3)\/(k\/(-42)). Which is the fourth smallest value? (a) q (b) -5 (c) 2\/7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2cc5 (base 14) to base 16\nAnswer: -1f4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -24. Which is the smallest value? (a) 0.1 (b) -8 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5053\/63 + 664\/9. Do -6 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1725.026 to the nearest ten.\nAnswer: -1730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 636*f - 6660.\nAnswer: 3*(f - 10)*(f + 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -176, 18, 2, 1, 19, -1.\nAnswer: -176, -1, 1, 2, 18, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 smaller than 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: c49c (base 16) to base 11\nAnswer: 348a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 470993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 2*q + 56. What is the tens digit of d(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -4*s - 12, 5*x - 15 = 3*s - 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -2\/11, -11\/5, -430\/37 in descending order.\nAnswer: -2\/13, -2\/11, -11\/5, -430\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 9 = 520*o - 517*o, 5*w - 2*o = -0*w + 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 477*i**2 + 60289*i + 23549. Determine v(-126).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 10. Let x be l(-10). Suppose 0 = 5*r - x*r - 20, 0 = h - 3*r + 8. Put 1, -5, h in decreasing order.\nAnswer: h, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*z + 7*z + 131177 + 116918 = 0. Round z to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -13151*c**2 + 52604*c. Give t(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1144311 is divided by 63.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.94 + -0.06. Let m = 0.85 - 0.85. What is the closest to m in b, 1\/7, 1\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slhblslbh. What is prob of sequence ll?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 29*s**2 + 3*s + 31. Let x(z) = 0*z + 3*z**2 - 5*z - 62*z**2 + 22 - 83. Let g(o) = 5*a(o) + 3*x(o). What is the first derivative of g(f) wrt f?\nAnswer: -64*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77233.\nAnswer: 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**5\/60 - 7*w**4\/24 + w**3\/6 - 4*w**2. Let a be b(-5). Calculate the greatest common divisor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1361 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 8 = 10. Let t(p) = -3*p. Let b be t(-1). Is b less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a factor of 8737953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11669 is divided by 432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4487.4179 rounded to the nearest ten?\nAnswer: 4490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 1 - (-3 - -3). Let q(m) be the third derivative of m**5\/60 - 5*m**4\/12 + 2*m**3\/3 - 3*m**2. Let n be q(10). Sort -3, n, o in descending order.\nAnswer: n, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-1044) + (-112)\/(-58)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/13 (b) -0.2 (c) 3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 4820046?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -294, -295, -296, -297, -298?\n\"Answer: -f - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107767 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32509081 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/365 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*c - 186, -c = -k - 70 - 23. Calculate the remainder when c is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -122270000 to the nearest 1000000.\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0. Suppose -4*f + 65 = -63. Let w be (6\/f)\/((-24)\/(-32)). Which is the closest to k? (a) w (b) 1 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1 + 3*q**3 - q**3 - q**3 + 2*q + 2*q**2. Let v(s) = s**2 + 1. Let b(d) = o(d) - 4*v(d). Calculate the remainder when 1 is divided by b(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 60*w + 236 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -9*b - 45. Calculate the highest common divisor of b and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 732*c**2 - 183*c**2 - 186*c**2 - 183*c**2 - 175*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 2964?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 31921, 127707, 287367, 510913, 798357, 1149711?\n\"Answer: 2*d**3 + 31925*d**2 - 3*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(1 + 0 - 33\/22). Suppose i*d - 8*d + 4 = 0. Find the third derivative of -27*f**2 - 31*f**2 + 90*f**2 - 34*f**d + 17*f**4 wrt f.\nAnswer: 408*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 14 = -3*n, -3*w + w + 4*n = 0. Suppose 2 = -w*v - 14. Put v, 4, 0 in decreasing order.\nAnswer: 4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, i: 13, b: 2, x: 1, q: 1, n: 1}. Give prob of picking 1 x and 2 i.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.99999999 - -1. Round r to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36421931549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -57062*-0.13\nAnswer: 7418.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 f when three letters picked without replacement from ppfpfpfpfffppfypf?\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -22*1\/(-8) + -2. Let f be (-3)\/4*244\/6. Let c = f + 31. What is the closest to 0.1 in s, -3\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 f when three letters picked without replacement from jffjfjjjjjfjjjjfjjf.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (18 + 6 + (23 - 40))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9a1 + -11?\nAnswer: -a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 6*y**2 + 4*y. Suppose 0 = t + 2*t + 12. Is c(t) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 82 - -1?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 41*l**2 - l**3 + 1 - 32*l**2 + 39*l**2 + 1 - 1 + 2*l**3 + (-2*l - 4*l + 4*l)*(-3 + 3 - l**2).\nAnswer: 3*l**3 - 34*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -79*i + 8. Let q(y) = -2. Give -3*q(v) - u(v).\nAnswer: 79*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 533 + -538. List the prime factors of (-8)\/m + -1 - (-215044)\/185.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z - 3*g = -112, 3*g + 43 = -z. Let o = -27 - z. Suppose o*k - 4*n - 7204 = 0, 0*n - 3602 = -2*k + 5*n. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -530, -2090, -4684, -8306, -12950, -18610?\nAnswer: -25280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.8826?\nAnswer: 0.4413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38.022 + 0.022. Let w = -39.24 - g. Let j = w + 0.14. Round j to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 37. Suppose 3*f - 30 = -p, -5*f + 2*p + y = -25. Let d = f + -9. Is d at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, i: 2, z: 4}. What is prob of picking 2 i, 1 z, and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3*90\/20. Let x be (q + 1)*4\/(-2). Suppose -j + 3*p - 5 = 0, -2*p - x = -3*j + 2. Let u(w) = w**3 - 5*w**2 + 2*w + 2. Calculate u(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*z + 1008 - 909 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:39 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y - y - y)*(2 + 0 - 1) + 79*y - 129*y + 204*y + (1 + 0 + 1)*(1 - 1 + 2*y))*(-4*y + 4*y - y**4).\nAnswer: -157*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-17)\/((-51)\/(-18)). Put r, 0.1, 34 in increasing order.\nAnswer: r, 0.1, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84 (base 11) to base 14.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.078207 to four dps.\nAnswer: 0.0782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) 0.1 (b) 5 (c) 0 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 10 = -7*z. Solve -4*y - 20 = -3*l, 0*y - 4*l + 6 = z*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3345 (base 7) to base 2\nAnswer: -10010111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/954880 and -97\/1050368.\nAnswer: 10503680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35\/5 - -794*(-69)\/(-6)?\nAnswer: 2, 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -611 - 2?\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1)*(1 + 0). Let n = 4356 - 4361. Sort l, 42, -4, n.\nAnswer: n, -4, l, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8897423.\nAnswer: 8897423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*l = -21. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5214738 years to months.\nAnswer: 6.2576856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46305047 to the nearest integer?\nAnswer: 6805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4dd3 (base 16) to base 12\nAnswer: b643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5900, 23660, 53260, 94700?\n\"Answer: 5920*u**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/1)\/((-15)\/60). What is the second derivative of -11*a**2 + 5*a - a**5 + 11*a**2 - u*a**4 - 7*a wrt a?\nAnswer: -20*a**3 - 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 8\/3 (c) -112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/5, 4, 8.3, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1409339*u*x**4 + u*x**3 + 1211452*u*x**2 - x**3 wrt x?\nAnswer: 33824136*u*x + 6*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.376 + 0.276. What is the second smallest value in -4, 1\/3, -5, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 308 + 16. Suppose s = -s + p. Suppose 2*h - q - 31 = 0, 4*h + 5*q - 7 = 5*h. Calculate the highest common divisor of s and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -16. Let f be g - (2 + (-9 - -3)). Differentiate -37*q**2 - q - 8 + 45*q**f + q wrt q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s = -33*s - 17. Let n be 15\/((-68)\/221*s\/20). Calculate the highest common factor of n and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 + 41)*(-4)\/(-6). Suppose 5*l = -2*h + 5*h + g, 12 = -3*h. Solve -4*m + 16 = -l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t + 1. Let j be c(-2). Let k = -8 - j. Differentiate -1 + 0 - 4*o - 2 + k with respect to o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4989 - -1325.6\nAnswer: -3663.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -2*q - 7, 2*c = -32*q + 31*q - 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -551*u**2 - 4*u + 4. Let z(n) = 552*n**2 + 3*n - 3. Give 3*s(p) + 4*z(p).\nAnswer: 555*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26714 - 2*d + 53435 - 26721.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -0.5, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*6\/60*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d - 8*d - 3*v - 193, -2*v = 4*d - 218. What is the remainder when d is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 11\/(-4))\/((-9)\/(-36)). Is (1760 - (3 - 2))\/(-2 + w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180603333 take away -0.07972?\nAnswer: 180603333.07972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjjwjjjjjjjj?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a8 + 4?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8657 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by -352556\nAnswer: -33\/176278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -87*f + 1018. Let w be v(11). What is the greatest common factor of 61 and w?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92196073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1687 = 2*v + 1667 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h**2 - 58*h**2 + h**3 + 21*h**2 + 12*h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 37*d**3 - 168*d**2 - 16*d + 3. Let n(v) = 12*v**3 - 56*v**2 - 6*v + 1. Let w(k) = -8*n(k) + 3*r(k). What is the third derivative of w(y) wrt y?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z - 35. Suppose 1 - z = -2*j. Let v be (j + (-52)\/12)*-3. Solve -5*g + 14 = 3*a - v*a, -3*g + 26 = -5*a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 4:17 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -2*o + 0 - o**2 + 1\/6*o**4 + 0*o**3. Solve i(p) = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -82.97 + -3498102.\nAnswer: -3498184.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 263 = -257. Suppose -p*r = -3051 - 5910. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(64)*-5)\/(sqrt(72) - (sqrt(72) - ((sqrt(72) - (sqrt(72) - 2*sqrt(72) - sqrt(72) - sqrt(72))) + sqrt(72) + sqrt(72) - sqrt(72)))))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/10 - 86*-1. Suppose a - b = 4634. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 2 (b) 3 (c) -117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -355600*a + 177802*a + 182*a**2 + 177797*a. Let x(u) = -21*u**2. Determine v(x(c)).\nAnswer: 80262*c**4 + 21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53478356 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 16, 0 in increasing order.\nAnswer: -11, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x - 260 + 260. Let p(z) = 2*z**2. Give f(p(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((24\/12)\/((-2)\/1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f = -83*f + 66*f - 5*s + 2, 0 = -3*f - 4*s - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.76183 centimeters to micrometers.\nAnswer: 807618.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(3)) - (4 + sqrt(75)).\nAnswer: -7*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -10*i - 6. Let j(x) = 1. Let g(y) = j(y) - s(y). Let o(u) = -3*u - 2. Give 2*g(t) + 7*o(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23\/36 + -1\/36. Let g be (-3 - -4)\/(2\/(-12)). Let a = -19\/3 - g. What is the second biggest value in h, -2, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1170869 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 585579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from jodoootdododdod?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2156 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: What is the highest common divisor of 1659 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37, 47, 61, 79, 101?\n\"Answer: 2*w**2 + 4*w + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from bbbbbxbbbbbbbbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-15))**30*r**(-1\/20)*r**(4\/7)*r)**(-29) assuming r is positive.\nAnswer: r**(1699023\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 868888.4 milligrams to tonnes.\nAnswer: 0.0008688884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*h - j - 4, -4*h - j + 6 = 0. Let p(v) = v**3 + 8*v**2 + 8*v + 10. Let u be p(-7). Suppose h*a - a + u = 0. Put 0.3, 0.1, a in descending order.\nAnswer: 0.3, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -483 - -452.9. Let x = -30.1000009 - o. What is x rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 90451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -191*i**2 + 11*i + 11. Let u(w) = 52*w**2 - 3*w - 3. Let o(x) = -6*a(x) - 22*u(x). Let r(y) = 92*y**2 - 11*y. Determine r(o(v)).\nAnswer: 368*v**4 - 22*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/9 + 14977352*a\/9 + 28040134116488\/9.\nAnswer: 2*(a + 3744338)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 + 463*r - 542*r + r**2 to the form c + x*r**2 + s*r and give s.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105 - -47 - -27) + -12.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 9*h**2 + 9*h - 11. Let g be z(9). Let i = -33 + 30. Let f be (14\/(-4))\/(i\/12). Calculate the greatest common divisor of g and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-10))\/(-6*3\/(-45)). Suppose 115 = m*q - 93. Let b = q + 45. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 80*y**2 - 32952600*y + 3393355771125 = 0. What is y?\nAnswer: 823815\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-6))\/(2\/(-4)). Suppose -2*h + 4*h + 22 = v, 3*h = s*v - 51. What is the smallest common multiple of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyyfyhyhyjhyyf. What is prob of picking 1 h and 1 y?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13417\/(-26834))\/(10\/(-12)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -1, 7, 27, 65, 127?\n\"Answer: n**3 - 3*n**2 + 4*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/15)\/((-8)\/(-100)). Let g(y) = y**2 + 11*y + 10. Let v be g(i). Solve 4*s + v = 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504724149.\nAnswer: 3, 29, 349, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, r: 4, i: 3}. What is prob of picking 4 r?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*(sqrt(95) - (sqrt(95) + sqrt(95)*-2)) + -5*sqrt(95)*-1)\/(-4*(sqrt(15)\/sqrt(3) + sqrt(5))*-1))**2 + 4.\nAnswer: 13915\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 123606445253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (7 - 2) + 14 + (10 - 15) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 4*q. Let y be h(-3). Is y >= -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91544, 93158, 94772, 96386, 98000, 99614?\nAnswer: 101228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + -1 - (-40 - -37).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 43*r**2 + 2 + r - 26*r**2 - 22*r**2. Let a(p) = -6*p**2 + 0 + 1 + 2*p**2. Calculate -3*a(k) + 2*f(k).\nAnswer: 2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 + 23*b**2 + 5*b - 63. Let u be p(-11). Suppose 0 = -5*r - 5. Sort u, -2, r, -5 in decreasing order.\nAnswer: u, r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 4. Let u be r(0). Let z = 1 + u. Suppose y - z*y + 68 = 0. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Suppose -4*u + 10 = 2. Suppose -2*h = -5*s - 20, -40*s - 20 = -35*s. Solve -u*j + q*j + 1 = h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 7*m + 19, -2*m - 42 = 121141*c - 121137*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2397 is divided by 566?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -3*f + 2*f + 1, f = -5*k + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o + 7 - 4 + 14*o - 1 - 3*o**2 to g*o + u + r*o**2 and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 16 + -35 + -3 + 10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 144 = -3*d. Let p(i) = 5*i**2 - 12*i + 36. Let n be p(6). Let m = n + d. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -827, -829, -831, -833, -835, -837?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -582, -214 in ascending order.\nAnswer: -582, -214, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 24818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 <= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26902 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/2))**(1\/35)*(w**(-2\/5)*w)\/(w**6*w))\/(((w*w**4)\/w)\/((w\/(w\/(w\/(w*w**(1\/10)))))\/w)*(w**0)**(2\/5)) assuming w is positive.\nAnswer: w**(-402\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a day in minutes?\nAnswer: 16992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*x + 54 = 0, 0*c + 5*x - 39 = 2*c. Let n = c - -25. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4 = -2*b, -4*b + 2 + 6 = a. Let l be (-3)\/3 + b - 1. Suppose -3*r + r + 10 = l. Solve t + 4*t = -5*d - 5, 0 = t - r*d - 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -419a?\nAnswer: 4196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 282690 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 991037?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 188*s - 140*s - 336 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 3. Let y = g - -5. Suppose -2*f + 208 = 4*j, -y*j + 112 = -0*f + 3*f. What is the highest common factor of j and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5\/5 + 40*f**4 + 48*f**3 - 376*f**2 + 452*f - 816\/5 = 0 for f.\nAnswer: -4, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/213719 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -399494 or -399493?\nAnswer: -399493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -14. Let z(m) = 11*m**2 + 2. What is the tens digit of z(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 250*l - 4 - 155*l to the form y + x*l and give x.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n - 12*n - 12*n - 3*n + 44*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 + -794 + (-6 - -215)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 12:48 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 + a?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -228*x + 3 - 7*x**4 - 6 + 131*x**4 + 126*x**4 wrt x?\nAnswer: 3000*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 63 and 36.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12588833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2265, 4592, 6921, 9252, 11585?\n\"Answer: a**2 + 2324*a - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -354*c**2 + 9184*c + 404. What is f(26)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -26*i - 25*i + 46*i. Let m(v) = -7*v. What is m(f(y))?\nAnswer: 35*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.73834 to one dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 25 = 0, d - 78 = -4*h - 105 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 274 + -266 - (-1 - -19 - -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0\/g)\/g*g)**(-14\/3)*(g*g**(2\/41)*g)\/((g*g**14\/g)\/g) assuming g is positive.\nAnswer: g**(-773\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15381306 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*c + 2*c + 2*c)*(53926*c - 11885*c**3 - 27058*c + 2*c**2 - 2*c**2 - 26874*c) to the form w*c**4 + l*c**2 + x*c**3 + p + r*c and give w.\nAnswer: 11885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*-1 + (-28)\/(-21)*3. Calculate the common denominator of (s\/9)\/((-32)\/(-552)) and 89\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 500*j + 12500.\nAnswer: 5*(j - 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-63)\/(-15) - (-12)\/15. Which is the second biggest value? (a) -2\/3 (b) h (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, h: 1, f: 1}. Give prob of sequence hfn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -29*q. Let o = 2215 - -2625. Let u(t) = -2*t + 4840 - o. Give u(g(w)).\nAnswer: 58*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-11 - (-12 + 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 8:54 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 10163218.\nAnswer: 10163218.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000053903 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31, -55, -79?\n\"Answer: -24*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - x + 8 = 33, 5*k = 3*x + 35. Find the common denominator of 0\/(-9 - -4) + 9\/k and -2 + 74*(-3)\/(-44).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -2)\/(-8 - (-62)\/8). Suppose -n - 7 = 4*j, -3*n + d*j + 25 = -2*n. Calculate the remainder when 167 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 490, 539, 630, 769, 962, 1215, 1534?\n\"Answer: w**3 + 15*w**2 - 3*w + 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 685.8237 kilograms to grams.\nAnswer: 685823.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -52 in descending order.\nAnswer: 5, 3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94.7 - 99. Let p = r + 0.3. Let z = 1486 + -1477. What is the third smallest value in z, p, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12416, 12415, 12414?\n\"Answer: -a + 12417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 1\/2, 3, 1\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*l - 14639143 - 288*l - l**2 + 14639097.\nAnswer: -l**2 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(5)*-1 + (0 + sqrt(180))**2 + sqrt(5).\nAnswer: 4*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100 + -1000011001?\nAnswer: -1001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 3. Let g be (x - 0) + -1 - 0. Suppose g = -3*p, -4*t + 2*p = -0*p - 24. Calculate the highest common factor of 36 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m = -24*m - 80 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 246 and 20211442?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/5))**(2\/11)\/(q\/((q*q\/(((q\/q**(-2\/19)*q)\/q*q)\/q*q)*q)\/q)*q*((q**(-7)\/q)\/q)\/q) assuming q is positive.\nAnswer: q**(8364\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.169 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 18*f - 11. Let d be a(1). Suppose -180 = -16*j + d*j. What is the lowest common multiple of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**10\/10080 + i**7\/630 + i**4\/12 + 2*i. Let p(j) be the third derivative of s(j). Find the third derivative of p(c) wrt c.\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 3*l + 14*l to the form j + m*l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 3*x + 2*x**2 + (-2279 + 568 + 850)*(x - 3*x + x)*(-3 - 2 + 3)*(-3 + 3 + 2*x) as g*x + f + v*x**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 201423413 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 11*p**2 + 4*p**2 - 22*p**2 + 8*p**2. Let f(s) be the first derivative of -s**3 + 1. Calculate f(q(z)).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2 + 2*j**2 - 5*j + j**2 - 4 - 3*j**2 = 0. Calculate j.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/9*f**2 + 136*f - 488\/9.\nAnswer: -2*(f - 122)*(5*f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g - 22 = -37*g + 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -31*u + 166 + 69 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*w + 13*w**3 - 465*w - 11*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b. Suppose b*z = -z. Solve z*g + 16 = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.86, 0.144, 0.28 in descending order.\nAnswer: 0.28, 0.144, -1.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + s - 26. Let a = 33 + s. Let h(d) = 28*d - 28. What is the hundreds digit of h(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819 is divided by 165.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owtootgttoto. What is prob of picking 1 g and 1 o?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*b + 4*f, 3*f = -2*b - 0*f + 17. Suppose 0 = -a - 3*v + b, 0 = -2*v + 3*v - 1. Let h = 2 + -1. Solve a + h = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -193*p - 2. Let w(g) = -13350*g - 3. Give w(t(s)).\nAnswer: 2576550*s + 26697","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) - 2\/5. Let f be (-8)\/6*15\/(-10). Suppose -y = -f - 3. Put 3, l, y in descending order.\nAnswer: y, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*((sqrt(1300) + sqrt(1300)*2)**2*1 - -6*sqrt(1300)*-2).\nAnswer: -720*sqrt(13) + 70202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r + 4*r - 2*r)*(2 - 2 - 3)*(1 - 2*r - 1)*(-1 + 4 + 7) to the form q*r + j*r**2 + c and give j.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**5\/10 + 3*w. Factor u(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*y**2 + 445*y**2 - 2291*y**2)*(-y + 4 - 4) + 5*y**2 - y**3 - 5*y**2 - y in the form t*y**3 + o*y + p + d*y**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j + 21*j - 5 + 13 - j**2. Let t be s(13). Suppose 0 + t = 2*z. Put z, 0, 2\/7 in decreasing order.\nAnswer: z, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2744*n**4 + 139356*n**3 + 29946*n**2 + 2141*n + 51.\nAnswer: -(n - 51)*(14*n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 12:30 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 12:00 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 1614 + 2816 = 0. Let v = c + 1546. Suppose 2*r - 2*d = -d + 324, v = 4*r + 4*d. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 4\/89, -1\/5?\nAnswer: 4\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 14*w - 13. What is the remainder when c(-12) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 2:58 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*70\/(-28)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prnyh. What is prob of picking 1 n and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(324)*-3 + sqrt(324))\/(-1*sqrt(432)*2))**2.\nAnswer: 867\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -17*m + 22 + 23. Which is smaller: -8 or m?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + 1*(sqrt(78)*1 - sqrt(78)))\/sqrt(6))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0 - 4 = 0. Suppose 0 = 7*l - 3*l + 4*z - 24, -3*l = 2*z - 15. Let p = r + l. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/21)*r**(-3\/19) assuming r is positive.\nAnswer: r**(-101\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.073439113 to three decimal places.\nAnswer: -1.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 99995 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 6 = 0, q + 14*j = 9*j - 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000166667396 to 6 dps.\nAnswer: 0.000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/63275, -0.3, -4.2?\nAnswer: 2\/63275","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 143*c + 1027. Is d(11) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - b - 70 = -3*b, 3*c = b + 121. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 309 - -1c1?\nAnswer: 4ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -24, -152.5, 4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from {o: 5, r: 1, q: 2, n: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -413.9774 to zero dps.\nAnswer: -414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5\/75 - (-101)\/(-165).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45640267?\nAnswer: 45640267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -8*d**2 - 5*d. Let i(y) = -3*y**3 + 9*y**2 + 6*y. What is 4*i(p) + 5*m(p)?\nAnswer: -12*p**3 - 4*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, r: 6, e: 3, v: 1, d: 2}. Give prob of sequence eerd.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4225, -8419, -12613, -16807?\nAnswer: -21001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 3\/7, 5.8, -2\/11, -23, -5 in ascending order.\nAnswer: -23, -5, -2\/5, -2\/11, 3\/7, 5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -435*x - 20 + 21 + 396*x. Calculate o(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22063737.\nAnswer: 3, 1789, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -120*h*s**3 + 2*h*s**2 - 17292*h + 99*s**3 wrt s?\nAnswer: -360*h*s**2 + 4*h*s + 297*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40)\/sqrt(4))\/sqrt(5) - (-2*sqrt(2) + 4 - sqrt(2))) + -3)**2.\nAnswer: -56*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95651*i + 95651*i + 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 5*p**3\/3 + p**2 + 3. Suppose -2*t + 19 = 4*u - 7*u, -4*u = 2*t + 16. What are the prime factors of m(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -17, -7, 6, 3, 19 in ascending order.\nAnswer: -17, -7, -4, 3, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -385\/3 - -16543\/129. Let n = 50\/387 - u. What is the smallest value in 2\/3, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-60)\/(-8) - 3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 39*d - 29*d)*(2 - 2 - d**2 - d + d - d**2 + 3*d**2 + d**2 - 5*d**2 + (0*d + 3*d - 4*d)*(-4 + d + 4)).\nAnswer: 248*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + z - 7*z)*(-7*z + 0*z + z).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42272 = 21*o - 34063. Suppose -20*c + o = -565. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, 26, 46, 52, 32, -26, -134, -304?\n\"Answer: -2*h**3 + 11*h**2 + 3*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(152) - 3*-3*sqrt(152) - sqrt(152))\/(sqrt(288)*-5) + 5.\nAnswer: -3*sqrt(19)\/10 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1235*q - 33214. What is p(28)?\nAnswer: 1366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*11\/(-22)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 - 20*t - 4. Let o be l(-10). What is the second biggest value in o, 2\/9, -1\/58?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(17) - (1 + sqrt(1700))) - sqrt(17))*6.\nAnswer: -54*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = j - 47. Suppose 3*l = -9, 3*l - 7*l + j = 2*z. Is 25 a factor of (-7)\/(z\/96)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5597*s + 22747 - 515283 for s.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18811 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3032218 is divided by 178365?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-45)\/a**(2\/13)*a*a**(3\/10)\/a*a**22 assuming a is positive.\nAnswer: a**(-2971\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -0.1, -206122 in descending order.\nAnswer: -0.1, -0.7, -206122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 302260109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9449299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = -4*w - 22, 5*w + 3 = -2*d. Let o be (-64)\/24*d\/(-4). Solve 2*q = -0 + o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -370*h**4 - 59*h**4 + 2*h - 210 - 453*h**4 wrt h?\nAnswer: -10584*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 1)*(12 - (1 + 6 + -2)). Solve 0 = -42*t - 413 + j for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.986 + 10751.2\nAnswer: 10726.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 59\/4 of a microsecond?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 - 214 = -9*t. Solve -16 = 2*n - 3*o, t = -2*n + n - o - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - 53) - (350 + -537 - -180)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1169 - 1176. Let o(a) = 3*a**2 + 13*a + 8. Let q(c) = -7*c**2 - 27*c - 17. Let l(i) = 5*o(i) + 2*q(i). Calculate l(y).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**4 - 17042*x**3 - x**2 + 82971*x wrt x?\nAnswer: -48*x - 102252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 27 = -3*y, 30 = 2*y + 3*t - 5*t. Suppose 21*r - 900 = 26*r - 105*r. Solve 3*c + r - y = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4198 is divided by 1393?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20 - 17)\/(3\/(-64)). Suppose m + 32 = -3*q, -3*m - m + 2*q - 114 = 0. Let a = m - t. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14067504, 14067483, 14067464, 14067447, 14067432, 14067419?\n\"Answer: u**2 - 24*u + 14067527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 - t**5 + t**5 + (-4*t + 3*t + 0*t)*(-2*t**4 - 2*t + 2*t) + 256*t**5 + 220*t**5 + 326*t**5.\nAnswer: 803*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -5. Is 8\/4 + -1 + p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, 1, 23, -33 in ascending order.\nAnswer: -33, -5, 1, 11, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -64090 divided by 442?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1940*l**2 - 1872*l**2 - 1939*l**2 - 1935*l**2 + 7688*l**2 + 22.\nAnswer: 2*l**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -564*j + 56236. Give p(99).\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(143))\/(sqrt(352)\/sqrt(2)) + 3)**2.\nAnswer: 3*sqrt(13) + 49\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*m = 2*k + 3, 5*m = -2*k + 21. Solve 0*s + 3*d = -s, k*d = s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50c (base 16) to base 8.\nAnswer: 2414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -23*r**2 + 15*r + 31. Let k(f) = 8*f**2 - 5*f - 11. Let l(x) = 3*c(x) + 8*k(x). Let o(z) = 6*z**2 - 4*z - 4. What is -4*l(b) - 5*o(b)?\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Let q = 61347 - 61348. Sort q, 0, o in decreasing order.\nAnswer: o, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606218 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n**3 + 32*n**2 - 21*n - 69. Let x(j) = 4*j**3 + 16*j**2 - 10*j - 34. Let z(k) = 3*b(k) - 7*x(k). Suppose 7*a + 85 = 2*a. Is z(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199\/29780 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6442*-5\nAnswer: 32210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 554 - 555 + d**4 - d**2 + 30*d + 3*d**4 to the form x + y*d**3 + r*d**4 + o*d**2 + j*d and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22.9 or 20009\/2?\nAnswer: 20009\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -8591\nAnswer: -34364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*s**2 - 30*s**2 - 2 + 1 + 13*s**2 - 36*s + 3*s**2 as g*s + c + t*s**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/46*(41 - (-2898)\/(-69))?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/99 - -1*1426\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p - c + 68, -3*p = -4*c - 169. Calculate the highest common divisor of 21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 + -18.0781.\nAnswer: -17.9881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 649458*j**4 + 17*j**2 - 229285175*j wrt j?\nAnswer: 7793496*j**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 416*u. Let k(h) be the first derivative of -3*h**2\/2 - 1233. Determine k(g(f)).\nAnswer: -1248*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 471609?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2 - 4*i + 4*i + i**2. Let w(l) = 5*l - 7. Let t be w(1). Determine y(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 9*b**2 - 12*b - 7. Let t be v(-10). Let p be (-8)\/20 - (-87)\/5. Let s = p - t. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 477 and 90.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-o - 3*o + 6*o)*(-o**2 + 35 - 35) + 3*o**3 - 2*o**3 - 2*o**3)*(-4 + 0 + 3) as v*o**3 + z*o**2 + k*o + j and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -0.2, -0.4, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**6\/120 - q**5\/20 - q**4\/8 - 5*q**3\/6 + 5*q**2 - 8. Let p = 3 + 2. Is s(p) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 16. Let g be o(-7). Let t(y) be the second derivative of y**5\/20 - 5*y**4\/12 + y**3\/6 + 2*y**2 + y. What is the units digit of t(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7 = 2*k - 16, -l = 3*k - 10. Let j(o) = o**3 - 8*o**2 + 9*o - 8. Give j(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 - 493490\/(-30). Suppose 82232 = 2*c + 3*c - 2*r, c - x = 4*r. Suppose c + 1743 = 9*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 64, 65, 68, 73?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 + 33*u)*(-97 + 20*u + 97).\nAnswer: 660*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 w, and 1 f when three letters picked without replacement from {l: 4, f: 2, o: 3, w: 2, h: 1, b: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1855 = -2*k, 3*r - 3*k + 1009 = 2884. What are the prime factors of r?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 53 = -5*h, 2*h + 3*s = s + 24. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2930*d - 76776 + 15216 = 161120 for d.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 758, 747, 722, 677, 606?\n\"Answer: -y**3 - y**2 - y + 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 7) + (9 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-2)*(-3 - -4). Let r(s) = -2*s**2 - 4*s + 1. Calculate r(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2795 divided by -7778\nAnswer: 2795\/7778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 144, 462, 782, 1104, 1428, 1754?\n\"Answer: w**2 + 315*w - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1790 and 209?\nAnswer: 374110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 5) in base 7?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*g + 716, 4*v - 3*g + 6*g = -1404. Let r = v + 356. Solve 17 = -r*t - x + 5, -2*t - 6 = -2*x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0.8. Let h = -1 - l. Does -1\/3 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*k - 38, -2*b - 2*b + 34 = 2*k. Calculate the remainder when k is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 12*l**3 - 2*l + 4. Let p(w) = -36*w**3 - w**2 + 7*w - 13. What is 2*p(x) + 7*t(x)?\nAnswer: 12*x**3 - 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 332661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + 2*((sqrt(84)*1 - sqrt(84)) + sqrt(84)) - sqrt(84) - (-4*sqrt(84)*-1 - sqrt(84)))\/((-6*(-2*sqrt(1200) - sqrt(1200)) - sqrt(1200))*-5).\nAnswer: sqrt(7)\/850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v - 384. Let j(g) = 2*g - 193. Let u(k) = 11*j(k) - 6*l(k). What is the derivative of u(z) wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l - 0*l - 10362. Is 19 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-9)*-9*5\/30. Suppose 18 = -4*f - 5*r, r - 4*r = 5*f + 16. Put f, c, -5, -22 in ascending order.\nAnswer: -22, -5, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 359 - 359. Let s(g) = g**2 + 16*g + 230. Let f be s(q). What is the highest common factor of f and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 12*y**2 - 11*y - 23. Let w be h(13). Suppose 0*c - 2*c = w*i - 215, -3*i - 4*c + 217 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -381 + -624412.\nAnswer: -624793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 77786.58\nAnswer: 155573.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*x - 418. Let b = -63 + x. Let f = 78 - b. What is the highest common factor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 1:02 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2512470 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**4 - 78*y**3 - 147*y**2 - 72*y = 0.\nAnswer: -24, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 226659179 to the nearest 1000000.\nAnswer: 227000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 - 7.13. Let k = -11 - u. Which is the third smallest value? (a) -2\/9 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 290*z + 2. Suppose 3*l - 14 + 11 = 0. What are the prime factors of w(l)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, 26, 53, 100, 173, 278, 421?\n\"Answer: j**3 + j**2 + 3*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 7211136.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + t - 0 - 6, 2*t = -5*k + 11. Let d(x) be the first derivative of 8 - k - 2 - x**2 + 6. Let u(j) = -6*j. Determine u(d(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42885134.\nAnswer: 2, 941, 22787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 b when four letters picked without replacement from ctbtbccbttt?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 7. Let v be b(-8). Let q be (-3 - 1) + (3 - 2). Let x = v - q. Calculate the highest common factor of x and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342578*0.3.\nAnswer: 102773.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/19 + 49814*v**4\/19 - 5244*v**3 = 0 for v.\nAnswer: -24909, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 3*u - 21, -h - u = 4 - 9. Solve 6\/5*d - 4\/5*d**h + 8\/5*d**4 - 8\/5*d**2 + 0 - 2\/5*d**5 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -4*p + 4*d - 9, 0 = -5*p - 2*d - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**2 - 122830*d + 754360445 = 0.\nAnswer: 12283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.1 + 5. Suppose 3*m = -2*l - 9 + 1, -m - 2*l - 8 = 0. Which is the second biggest value? (a) m (b) 0.2 (c) 0.03 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from wljwwoylowyjl.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddffffzf. What is prob of sequence fdz?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25488176 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7890, -15804, -23726, -31656, -39594?\n\"Answer: -4*y**2 - 7902*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkss. Give prob of picking 2 k and 2 s.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -188, -390, -602, -830, -1080, -1358?\n\"Answer: -w**3 + w**2 - 198*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (141\/(-2))\/(9\/(-12)). Let v = 311 - 367. Let q = v + b. Is q a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25371568 divided by 6342892\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/18270 and -59\/1827.\nAnswer: 18270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(108) + (sqrt(108) - 2*sqrt(108)) + -2 + -2 + 2 + 3 + -2)**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/13*2 + 280\/(-130). Let m(z) = -4*z**3 - z**2 + z - 3. Calculate m(j).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8450)\/(-375) - 22) + ((-7)\/3 - -2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {t: 2, n: 3, s: 2, f: 1, j: 6}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/3 + 374*s\/3 - 34969\/3 = 0. What is s?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = -67*c - 252 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 766*p**3 - p - 387 wrt p.\nAnswer: 4596*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-346*b + 346*b - 17*b**4 + 4*b**4 - 4*b**4 + 3*b**4 + (0*b**2 + 2*b**2 - 4*b**2)*(2*b**2 - 2*b**2 - b**2))*(-2*b + 5*b + 92 - 108).\nAnswer: -36*b**5 + 192*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1. Let d(j) = -2*j - 6. Let w be (2 + 7)*-2*(-2)\/(-6). What is w*y(i) - d(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(1900)))**2 + (sqrt(1900) - (sqrt(1900)*-2 + 0))**2.\nAnswer: 80*sqrt(19) + 24704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from jwjxxjxxwwjjxswjjjwj.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 145942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 785 = -770 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 16. Let r(z) = -8*z**2 - 6192*z. Calculate r(h(l)).\nAnswer: -32*l**4 + 12896*l**2 - 101120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*o**2 + 51*o**5 - 13*o**2 - 50*o**5 + 6*o**4 wrt o?\nAnswer: 60*o**2 + 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*h + 187*h - 342 = 2*l, -3*l = -4*h + 454. Let k(d) = 10*d - 1. Let z be k(-1). Let q = z + h. What are the prime factors of q?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11\/14, -6, 2\/15, -39\/7, 16 in decreasing order.\nAnswer: 16, 11\/14, 2\/15, -4, -39\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20961627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2)\/sqrt(4) - (sqrt(19)*1)**2*-3.\nAnswer: 2*sqrt(19) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5961*k = -5973*k - 24 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48\/13 - -1667\/455. Let u = 247\/2520 + m. Find the common denominator of -19\/45 and u.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 2773 - (-2 - -5). Calculate the greatest common divisor of 33 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -1) + (-11 - -23 - 17)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 2007*a**4\/4 - 221*a**3\/3 - 2*a + 1143. What is the third derivative of w(j) wrt j?\nAnswer: 12042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321363956 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 8) to base 14\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1444 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 580 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2639809 less than or equal to -2639810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8620 or -8274?\nAnswer: -8274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 9 + 2)*(3*a - 3*a**2 - 3*a) in the form u*a + o*a**2 + h and give o.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 35. Determine c(-54).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-12)*(-6)\/(-4). Let n be (-6)\/3*x*2. Solve -3*h - n = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 588?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 30 - 11\/2*m**2 + 3\/4*m**4 + 23\/5*m**5 + 0*m**3 - 2*m. Find the second derivative of z(j) wrt j.\nAnswer: 276*j**2 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 + 411. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + 3*a - 77. Let g be q(-7). Let w be (-27)\/(-5) - 2\/5. Solve v - w = -g*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 723 or 721?\nAnswer: 723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*f - 255*f = 5*z + 2662, 0 = -2*f - 3*z + 1800. Calculate the remainder when f is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(99))**2 + 1 + (sqrt(66)\/(sqrt(24)*-6))**2.\nAnswer: 57179\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1294895, -2589804, -3884727, -5179670, -6474639, -7769640, -9064679?\nAnswer: -10359762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*w + 8. Let o be ((-13)\/20 - (-9)\/36)*-5. Suppose 4\/9*y**o + 0*y**3 + 0 - 4\/9*y**4 - 2\/9*y**w + 2\/9*y = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 20*d**2 - 10191*d + 5683. Give x(509).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 537\/4*y - 3\/4*y**2 - 267\/2 = 0.\nAnswer: 1, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3523677752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1063 by 1.\nAnswer: -1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13674 is divided by 136?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 18}. Give prob of sequence oo.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*v = 6733, 0 = -5*f + 4*v + 44178 - 10524. What is the second derivative of 115*w**5 + 6736*w - f*w - 29*w**5 wrt w?\nAnswer: 1720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -1\/7 (c) 25\/2 (d) -34\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*((-4)\/(-1) - 3). Let x(z) = -z**3 - 4*z**2 - 4*z + 1. Suppose 5*y = 2*y - 9. Let p be x(y). What is the greatest common factor of i and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 0 + -1 + 9. Solve -4*y - 2*x = -14, 4*y = -y + 3*x - h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-6))\/((-3)\/(-12)). Let j = g - 94\/33. Suppose 3*h - h = 4*r - 4, -r + 4*h = 13. Sort -0.1, r, j in descending order.\nAnswer: r, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Let z(v) = v**2 - 2*v + 3. Let k = 20 + -10. Calculate the remainder when k is divided by z(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761994139.\nAnswer: 317, 997, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 71 - (4\/9 - 294\/(-189)). Suppose 2*t + 142 = 8. Let d = s + t. Solve 1 + d = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3560396, -3560077, -3559544, -3558797, -3557836, -3556661?\n\"Answer: 107*v**2 - 2*v - 3560501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57b (base 14) in base 16?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*1)*5)\/(sqrt(4)*1*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*d - 29, 2*v - 5*v = -d - 23. List the prime factors of (27\/(-4))\/((-3)\/v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89192351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 9837636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -22. Suppose k + 4*q = 5*k - 12, 3*k - 5*q = -1. What is the smallest common multiple of k and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w = -15*w - 32. Let c(t) = -w*t**2 - 441 + 441. Let r(u) = 53*u + 2. What is c(r(g))?\nAnswer: -5618*g**2 - 424*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/11, 4, 58777, 1?\nAnswer: 58777","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*a = 95*a + l - 6, -4*a = -2*l - 12. Solve -6 = -a*u + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2464 divided by 41370.\nAnswer: 176\/2955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 2 - (4 + -4) - (-17 + 26 + -15).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22427647\/913029 + -7\/70233. Is g >= -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = h + 54*f + 158, -2*f = 56 - 50 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131190488 is divided by 21865080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1132703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 - 5*f + 438*f**3 - 434*f**3 in the form t*f**3 + q + u*f**2 + n*f and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by 29.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 251 - 272 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 171*r + 24. What is the units digit of f(27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 31 + 112 = 3*w, 2*w + 3*f = 44. What is the greatest common divisor of w and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**3\/6 - 5*j. Let i(k) be the first derivative of 0*k**2 + 2 + 0*k + 1\/3*k**3. Give y(i(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 98*y - 66. Determine p(2).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -119.\nAnswer: -71.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + a**2 + 2*a + 6. Let m be y(0). Let d be (m + -3)\/((-15)\/(-10)). Suppose 0*k - k + 10 = d*i, i = 1. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.64 + -0.36. Let j = -1327 - -1345. Let m = j + c. Is m bigger than -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 130 = h. Let m = -12 - h. Let j be 34\/m - 44\/(-77). Solve -4*u - 24 = -4*k, 4*k + 3 = j*u + 25 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*j + 2 - 200*j + 138*j.\nAnswer: 51*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -9b58?\nAnswer: -9b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -30. Let v = -16 + n. Which is greater: -1\/4 or v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -236020*u**2 + u + 371488 wrt u?\nAnswer: -472040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 11:18 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1604 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 2*m**3\/3 - m**2\/2 - m - 1. Let k be f(2). Suppose -2*o = -3*p - 3*o + 16, 22 = k*p + 4*o. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 - -55. Suppose o = -6*f + f + 20. Solve -f = 3*a + 4*j, -5*j = a - j + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z**(-9)*z)\/z*z*z)\/z**3)**(-10)*(z**(-2\/5))**(34\/7)*(z*z**(-1\/2))**(5\/14) assuming z is positive.\nAnswer: z**(10953\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(132))\/(4*sqrt(44) + (sqrt(121) - -1*sqrt(121))\/sqrt(11)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1238505 and 80750526.\nAnswer: 403752630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i - 3. Let w be l(1). Let z be (2\/4)\/((-2)\/(-8)). Let g(k) = -4 - 2*k + 4*k**2 - k + z + 2*k - k**3. Determine g(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3 + 6 = 0. Suppose 3*j + 4*p - p = 30, -5 = c*j - 4*p. Let n = 11 - j. Calculate the lowest common multiple of n and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2939 + 124 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 290 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21114, -21112, -21120, -21144, -21190, -21264?\nAnswer: -21372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2 (b) -10 (c) 7928\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 2 (c) -2.4 (d) 2.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c. Let o(j) = 3*j**2 + 2*j. What is k(o(h))?\nAnswer: 15*h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12456 is divided by 935.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 7*x**2 - 7*x + 5. Let o(u) = 12*u + 28. Let a be o(-3). Give d(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 1, q: 1, k: 1, z: 3}. Give prob of sequence bq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = m + 26, 0 = 71*s - 66*s - 13*m - 400 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0603404 and -0.04213?\nAnswer: 0.0182104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1614 and -7\/1770.\nAnswer: 476130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/46 - (-1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g. Let y(a) be the second derivative of 0*a**2 - 21*a - 13\/6*a**3 + 0. Determine s(y(c)).\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30051*i - 61 - 51 - 30052*i to g*i + t and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 6:31 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 423 - 127?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/100 and 71\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5\/(-18))\/((-1)\/69) and (1\/2)\/(12\/474).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 5*o**4\/24 + 7*o**3\/6 + o**2. Suppose 0 = 11*i - i - 60. What is the tens digit of j(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**3 + 27*z**2 + 7*z - 2. Let j be w(7). Let n be (4 - 1) + (3 - 3). Let c(b) = b**3 + 2*b + b**3 - n*b**3. Determine c(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*t + 0 = -12, 2*t - 8 = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from {r: 7, b: 1, x: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 20 = -0*z, -5*r + 4*z = -75. Suppose 6*c = 13 + r. Suppose c*k - 139 = -j, 4*j + 0*j - 4*k - 496 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*2*-5*sqrt(2057) + 4).\nAnswer: -330*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*r - 760 + 788, 2*r - 3*d = 15. Solve -2*k + 16*x - 11*x = -1, r = 4*k - 3*x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 188, 376, 564, 752?\n\"Answer: 188*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z - 11. Let j(o) = -3*o + 5. Suppose 4*w + 16 = 8*w. Determine w*d(p) + 9*j(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3237.6 + -3238. What is the closest to 1\/3 in -2.5, 1, n, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1185*z + 13030. Let x be s(11). Which is the closest to 2? (a) x (b) -3 (c) 1.087 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -644.1 - -673.94. Round f to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/475053 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**4\/4 + 2*n**3\/3 + 2*n**2 + 2*n. Let b = 23 + -32. Is h(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvv when three letters picked without replacement from {l: 2, y: 1, v: 2, w: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(18) + (-2 + sqrt(2) + 5)**2 + sqrt(2).\nAnswer: sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -212, -308, -438, -608, -824, -1092?\nAnswer: -1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*o + o = 8, -2*o - 4 = -2*b. Let y = 7 + -7. Suppose y = 4*d + r, r = -2*d + 6*r. Sort b, 5, d in descending order.\nAnswer: 5, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3262*n**2 + 303368*n - 178. Determine b(93).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(5\/110)\/1 - 251\/(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3590.\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**3 - 17*i**3 - 1774*i**2 + 2 - 1 + 174*i**2.\nAnswer: i**3 - 1600*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*y - 5*m, 46 = -y + 3*m + 48. Solve y*s + 4*r - 22 = 0, 0 = 9*r - 4*r - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9108297 and 9108305 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -25, -10, 3, -0.04 in descending order.\nAnswer: 4, 3, -0.04, -10, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 2*g**2 - 4*g**2)*(-119*g + 78*g + 157*g).\nAnswer: -232*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1073\/9 + 119. Sort -4, -0.02, r in ascending order.\nAnswer: -4, r, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9096508?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106173054*p**2 - 1464021*p + 38.\nAnswer: -212346108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -28*x + 4. Let o(z) be the first derivative of 2\/25*z**5 + x - 4\/15*z**3 + 0*z + 0*z**2 - 1\/10*z**4. Factor o(p).\nAnswer: 2*p**2*(p - 2)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1350 by 3.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w = 3*q + 21, 5*w - 5*q - 65 = 0. Suppose 0 = -3*s + 4*b + 47, 129*s - 128*s - 2*b - 11 = 0. What is the remainder when s is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -38*l - 1101. Let k be j(-29). What is the nearest to k in -1, 306, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 155975308*p + 3041037088211858.\nAnswer: 2*(p - 38993827)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1344 - 1272 = 6*s. Let f = -0.2 + -0.8. Put -5, f, s in decreasing order.\nAnswer: s, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((25*(-14)\/(-245))\/(48\/(-84)))\/(143\/26)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 442*o - 8833. Determine b(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + o - 4*g - 12, -6 = 5*o + 2*g. Let k be ((-1)\/(-2))\/(4\/20). Suppose -k*m**3 - 1\/2*m**4 + o - 4*m**2 - 2*m = 0. Calculate m.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -945526\nAnswer: -3\/472763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71\/(-4970)*10\/3.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from asssaaaaaaaa.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1 + 0\/1. Let n(t) = -30 + 1 + 6*t - 11*t. Let v be n(-7). Solve -2*a - i = 5*c, -2*a - 20 = -v*a + 2*c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s - 4*s**3 + 2*s**2 + 3 - 3*s**3 + 3*s**3 + 3*s**3. What is h(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1016, 114, 1246, 2380, 3516?\nAnswer: 4654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1162 (b) -1\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1636664 + 6523?\nAnswer: 1646520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q - 46. Calculate the remainder when f(-12) is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -0.1. Let k = p - -1. Let j = 5 + -7. Sort k, 3, j.\nAnswer: j, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*z - 22 = 0, 2*j - z + 21 = 2*z. Let t(k) be the first derivative of 3*k**2 - 2*k - 5. Let c(o) = o. Give j*c(u) + t(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4607*c. Let g(h) = -71*h**2 - 14. What is g(r(u))?\nAnswer: -1506935879*u**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 13 + 3 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125008 (base 9) to base 7.\nAnswer: -434030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-72)\/42)*7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (2 + sqrt(7) + -2*sqrt(7)))**2 - (-1*sqrt(448) + sqrt(7))**2) + -1.\nAnswer: -312 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*d - 237 = 2*d, -6 = 2*d. Suppose -5*s + i = -2*s. Let q = -825 - -831. Calculate the least common multiple of s and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50796273035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/8 + 11*n**4\/8 + 43*n**3\/8 + 77*n**2\/8 + 8*n + 5\/2 = 0. What is n?\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*y**4 - 24*y**3 - 6091*y.\nAnswer: 420*y**2 - 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -240*u**3 + 31*u + 11 wrt u.\nAnswer: -1440*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w + w**2 - 10*w - 1 + w + 3*w + 3*w. Let h = 20 - 19. Let f(q) = -4*q**2 - q + 1. Let s be f(h). Calculate x(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmhhhuhhmhhm. Give prob of sequence mm.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98 - -242. Suppose -13*g + n = -9*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-195)\/(-78))\/((-10)\/(-6)). Let y = 0.5 - 2.5. Which is the second smallest value? (a) o (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31453 and 497.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 54\/15*40\/24\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302 + 158 = 4*z. Let c = -10 + z. Calculate the highest common divisor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4570664547942 + -0.4.\nAnswer: 4570664547941.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-2099.\nAnswer: -209.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5 = 0, 0 = 2*l + 5*i - 7*i. What is the third smallest value in l, -26, -6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50 + -70693?\nAnswer: -70643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-6))\/((957\/116)\/33).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((10\/6)\/((-205)\/(-123))))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.5 - 34. Let x = q - -37.69. Round x to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 31 = -25. Let p(n) = 2*n**2 - 2. Let v(q) = 5*q**2 - 5. Let r(s) = z*p(s) - 6*v(s). Differentiate r(m) with respect to m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 6*l - 399. Suppose 5*c - l = 16. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.1, 76, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2328 is divided by 157?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/(8\/60). Let u be (-3 - f - 3)*-2. Solve -u = -h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffef when four letters picked without replacement from {n: 11, e: 2, f: 7}?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -441 and 1.1.\nAnswer: -439.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/13)*q**2*(q\/(q*q*q\/q**(-2)))\/(q*q*(q\/(q*q**(-4\/7)*q*q)*q)\/q) assuming q is positive.\nAnswer: q**(-220\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6233 rounded to two dps?\nAnswer: 3.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 12*x**2 - 5*x - 141. Let n(k) = 17*k**2 - 6*k - 140. Let w(v) = -4*i(v) + 3*n(v). Let y(u) be the first derivative of w(u). Calculate y(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 57816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-32)*1389280\/(-13710)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16110 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43322223 (base 5) to base 15.\nAnswer: -74ac8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/4 + 741*i\/2 - 183027\/4.\nAnswer: -3*(i - 247)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**8\/616 - r**7\/105 - r**6\/44 - 3*r**5\/110 - r**4\/66 + 7*r**2. What is l in d(l) = 0?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21988001 divided by 3\nAnswer: 21988001\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5222 is divided by 201?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 93 + 389 = 0. Calculate the remainder when z is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -411 divided by 3.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1457.\nAnswer: 3\/1457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 371, 25, 4, -2 in decreasing order.\nAnswer: 371, 25, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 152 (base 7) to base 12\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/2 - 12223*v**2 + 69638742*v + 62889499980 = 0. What is v?\nAnswer: -790, 12618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8878.129 grams?\nAnswer: 8878129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/19 in 9, 5, -2\/9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(128) + -1 + (-5*2*sqrt(128) - sqrt(128))**2 + 4*((sqrt(8)*-2)\/sqrt(4) - (0 + sqrt(2) + -2))).\nAnswer: -30988 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yap when three letters picked without replacement from aaazaaoyazpyyyayay?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -227\/230 + -44\/23. Find the common denominator of -59\/7 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 15 = -2*m + 11, u = -m + 16. What is the lowest common multiple of m and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.97 - -0.03. Let x = -14 - -14. Let n = j + x. Which is bigger: n or 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*v = 318*v - 49 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z - 187. Calculate m(-11).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 2:06 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2189, -4413, -6639, -8867, -11097, -13329?\n\"Answer: -b**2 - 2221*b + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 155 + -15650?\nAnswer: -15462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + 19. Suppose -t - t - 143 = 5*u, -2*u - t - f = 0. Is -30 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.976 weeks in minutes?\nAnswer: 3789838.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1902 divided by -1902\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.73 - 3.27. Let w = 17 + -12. Let k be (-16)\/(-3)*9\/(-36). Which is the nearest to 0.2? (a) w (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12201 - -12793. What is the highest common divisor of i and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-11\/4)*v*v)\/v**10)\/(v*v\/(v*v\/v**(-11)*v)*v*v*v*v**5) assuming v is positive.\nAnswer: v**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:12 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**2 - 35*j + 34. What is q(-11)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 2. Let o be y(-5). Suppose -8 = -4*c + 8. Suppose 3*m = -5*s - 9, -o*m - 3*s = 7 - c. Solve -m = 2*q + 8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1334*l**2 - l - 31346 wrt l?\nAnswer: 2668*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -0.233\nAnswer: 0.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1556003 - 128262?\nAnswer: -1684265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:20 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3547024 a multiple of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*4 + -1 - ((1*sqrt(245) + sqrt(245))**2 + -5 + sqrt(245))) + 2 + 3.\nAnswer: -971 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 4698*h + 244944.\nAnswer: 3*(h + 54)*(h + 1512)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - 2.9. Let y = n + -0.4. Which is the smallest value? (a) -0.5 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-3 - 1) + (2 - 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113065 is divided by 669?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 15*f + 18. Let u be n(16). Suppose -y - m = -3, 0 = m - u*m + 5. Let o(r) = 20*r**2 + 2*r - 1. List the prime factors of o(y).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -83589 - -181?\nAnswer: -83408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56322060737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3218 - 364 = -9*n. List the prime factors of n.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmkgksgyksrkgskkrs. What is prob of picking 1 g and 1 y?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-17)\/(-306))\/(1\/2))\/(12\/(-576))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 0.2, 4, 33\/2, -0.5 in ascending order.\nAnswer: -0.5, -2\/13, 0.2, 4, 33\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - w - 1 + 8)*(8 + 5 + 5).\nAnswer: -18*w + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 160539.88 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 less than 0.174?\nAnswer: 29.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 18. Give n(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1367300, -1367293, -1367286, -1367279?\nAnswer: -1367272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3066 + -3061. Let d = -856\/9 - -95. Which is the nearest to -2? (a) -1\/6 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*n + 8 + 5, 0 = 3*t - n + 2. Sort t, 2, -7 in ascending order.\nAnswer: -7, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m + 18. Let v be t(-9). Suppose 4*f - 69 - 7 = v. Suppose w - 67 = -f. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4358 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -dd7 (base 15) in base 5?\nAnswer: -100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.50423 millennia to decades.\nAnswer: 350.423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7441, 3\/5, -362\/7?\nAnswer: -362\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-7) - 573\/(-21). Let l be (9\/(-6))\/((-3)\/18). Calculate the highest common factor of i and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 - 155 + 463 + 3*h**2 - 151.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.8 + -2. Let t = 2.99 - -0.01. Let h = t - f. What is the third smallest value in h, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-1 - 37856\/25). Let k = 1518 - a. Let s = -222 - -223. Is k <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 2, x: 1}. Give prob of picking 1 x and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2861 + -0.6139. What is the second biggest value in 3, d, -2\/33, -3?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17208 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 37396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1263556 divided by -4?\nAnswer: 315889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19*-568059\nAnswer: -10793121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 215 divided by 43\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 5\/167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -1101001?\nAnswer: -1100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + 2*i**3 - 4*i**3)*(-403 - 169*i**2 + 403).\nAnswer: 338*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/19)*u*u\/u**(1\/21))\/(u*u**(-12))**(-3\/17))**10 assuming u is positive.\nAnswer: u**(75730\/6783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(15\/3))\/(207\/((-253575)\/350))\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 633627\/103870 + -2\/10387. Let w = -179521\/20 - -8971. What is the common denominator of w and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 9:58 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/3))**(-12\/7))**43 assuming j is positive.\nAnswer: j**(-344\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 46. Let p be h(-10). Differentiate 27 + 29*m - 16*m + p*m with respect to m.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, y: 2, v: 2, z: 2, h: 1, w: 1}. Give prob of sequence zvvz.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.74374 rounded to one decimal place?\nAnswer: 22.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 200221 (base 5) in base 12?\nAnswer: 379b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.851 - -0.051. Let v = 943632.79607 + -943628. Let j = v + x. What is j rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6695 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y + 16. What is w(10)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 60. Is -2\/7 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/9)*q**37 assuming q is positive.\nAnswer: q**(335\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 8 = 11*c - 13*c, -5*c - 14 = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2\/7, -17, 5, 8\/121, 4 in decreasing order.\nAnswer: 5, 4, 2\/7, 8\/121, -0.1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 30*q**2 - 54*q + 60. Let u be o(-28). Solve 5*r + 26 = u*p, 5*p + 2*r - 5*r = 26 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2.9. Let j be ((0 + 1)*2)\/2. Let z = -4 - 0. What is the nearest to d in j, -5, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(180) + 0 + -1 + 1 + sqrt(180))*-2 + 0)**2.\nAnswer: -480*sqrt(5) + 2980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 340\/1530 - (-122)\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 242, -6, 2 in decreasing order.\nAnswer: 242, 2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(153) - (-6*1*sqrt(153) + sqrt(153))) + sqrt(153) + (sqrt(153)*1 + sqrt(153))*4)\/((sqrt(900) - -2*sqrt(900))*5))**2.\nAnswer: 17\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.718059 to 2 dps.\nAnswer: -21.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 26. Let w be 13\/(-2) - 7\/l. Let g = w + 10. Solve 2*i + n = -2*n + 3, -g*i = -n + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1867*w**2 + 100 - 100.\nAnswer: 1867*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38\/9 - 208\/45. Let u = 0.24 + 0.06. Suppose -5*s + 12 = -2*p - 4*s, -3*p + 2*s - 20 = 0. Which is the second smallest value? (a) p (b) u (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1137087 + 1137091. Suppose -a - a - g + 3 = 0, -14 = -5*a + 4*g. Suppose 5*r = 3*k, 2*k = -k + 3*r. Solve -a*n = -k - v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.494 - -0.49438. Round g to five decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9160 a factor of 275670200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28*9\/36)\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -4045945.\nAnswer: 1213783.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 10 + 22 = 3*k, -4*f = 3*k + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1421 and -4391667.5?\nAnswer: 4391667.3579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -745 (c) 3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1503*p - 987?\nAnswer: -1503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14735233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/30)\/((-1)\/(-4))*-10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115304055 (base 6) to base 3.\nAnswer: 11011122020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 4. Let k(o) = o + 5. Let x(i) = -6*k(i) + 5*p(i). Let t be x(-11). Solve 0 = -b - 1 - t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10001 (base 2) to base 7\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 10*s - 3. Let f = -8 + 10. Is 17 a factor of o(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-54)*126\/(-30).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2148 - 601. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**4 + 142682*a**2 - 197252*a?\nAnswer: -24*a**2 + 285364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 + 1. Let r be t(-1). Let w be (r\/(-2))\/(2\/12). Solve 4*b - 29 = -w, 0 = -f - 4*b + 21 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3150 + 1574 - 4859*x + 1576 to the form k + q*x and give q.\nAnswer: -4859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/6 - (-703)\/114. Suppose -t = -o + 5*o - a, 2*t - 64 = 5*o. What is the third derivative of 20*h**2 - 2*h**3 - 5*h**3 - t*h**2 wrt h?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 5*n - 1. Let s be w(-4). Let y(x) = 15*x**2 - x - 21. Let q(v) = 7*v**2 - 10. Let p(d) = -13*q(d) + 6*y(d). What is the units digit of p(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 9 + 0)*(1197*o - 65*o**2 - 1197*o).\nAnswer: 715*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - 2 - 2)*(4 - 1 + 0) + 14 - 7 + 6)*(-4*s - 3*s**3 + 4*s) in the form r*s + a*s**2 + m + p*s**3 and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 97972550 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 444*w**2 - 5*w + 130. Let s(y) = 233987*y**2 - 2634*y + 68484. Let q(h) = 2634*a(h) - 5*s(h). Let p(o) = -2*o**2. What is q(p(l))?\nAnswer: -1756*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**8*(b*b\/b**(-1))\/b*b*b**(-2\/17)\/b**(7\/3) assuming b is positive.\nAnswer: b**(436\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8844?\nAnswer: 2, 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/1)\/(3230\/(-171) + 19).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -145343 or -145342?\nAnswer: -145343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + i**3 + i**3)*(-544 + 2*i - 5*i**2 + 544).\nAnswer: 5*i**5 - 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 675.8 + -675.81. Which is the closest to 6? (a) -1 (b) 0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w - 169. What is the remainder when r(21) is divided by 12*((-4)\/(-6) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.0459508 + 0.123905. Let a = z + -1.17. Round a to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.955267ml to litres.\nAnswer: 0.003955267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14853.593 * -4\nAnswer: 59414.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.4, 4\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25691, -26207, -26735, -27281, -27851, -28451?\nAnswer: -29087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -354, -5, 0, 1, -0.4, -4.\nAnswer: -354, -5, -4, -0.4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10442230300 (base 5) to base 13\nAnswer: -255c4b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*j + 3*j**4 + 9*j + (6*j**3 + 7*j**3 - 12*j**3)*(-4 + 4 + 7*j) in the form c*j**2 + y*j**3 + d*j**4 + f + x*j and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 24, -749\/8 in increasing order.\nAnswer: -749\/8, -2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -13*p**6\/120 - p**5\/15 - 1070*p**3\/3 + 3309*p**2. Find the first derivative of d(k) wrt k.\nAnswer: -39*k**2 - 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*c = -17, 0 = n + c + 7 - 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11*g - 30. Let f(z) = -35*z - 24. Let n(c) = 3*f(c) - 8*y(c). What is n(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 3*o - 48, 8314955*a + o + 36 = 8314959*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -19, 12, 4, 394 in decreasing order.\nAnswer: 394, 12, 4, 0, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27, 22, 13, 0?\n\"Answer: -2*r**2 + r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**3 - 2*x**2 + 4*x + x**3 + 0*x**2 - 3*x as i*x**2 + u*x**3 + s + y*x and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + z - 3. Suppose -4*w + q + 4 = -3*q, -4*q = 16. Is g(w) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**6\/120 + w**5\/20 - w**4\/4 - 2*w**3\/3 + 4*w**2. Let k be g(-4). Solve 0 = -t + 4, 12 = -k*b + 4*t - t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*a - u, -a - 6 = 3*u + 13. Suppose r - 2*q + q + 6 = 0, -5*r + 3*q = 20. Sort a, r, 0 in ascending order.\nAnswer: a, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1300) - (sqrt(1300) + 2*sqrt(1300)))**2 + -3 + 5)*-5 + -5.\nAnswer: -26005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -134, -262, -444, -686, -994, -1374?\nAnswer: -1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 149, 459, 975, 1697, 2625, 3759?\n\"Answer: 103*p**2 + p + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -664*p**4*s*x - 5*p**3*u*x + 11*p**2*s + p*u*x + p - 11*s*u*x - 6*s - 2*x wrt p?\nAnswer: -15936*p*s*x - 30*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160144.\nAnswer: 2, 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41240 (base 7) in base 13?\nAnswer: 477b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -801635 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1\/4 (c) 0 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*w - 5*s, -2*s - 3 - 1 = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8740 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f. Let l(u) = -14*u - 1. Suppose 15 = 10*n - 5*n. Calculate n*l(c) + 8*j(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1563 + -1545. Let c(p) = -4*p**2 - 9*p - 9. Let z(n) = 4 - 3 - n**2 - 2*n - 2 - 1. Give v*z(x) - 4*c(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -15*a**4 + 9*a**2 + 9*a + 15. Let j = -78 + 87. Let w(t) = -4*t**2 - 4*t - 6 + 0 + 7*t**4 - 1. Let b(z) = j*w(z) + 4*y(z). Differentiate b(h) wrt h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/13))**(-4\/3)*(r*r*r*r*r**(1\/4)*r*r*r)**3 assuming r is positive.\nAnswer: r**(1067\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425425478?\nAnswer: 2, 67, 3174817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2)*-2 - 3. What is the remainder when (-566)\/(-6) + u\/(-6) is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + 119*j**2 + 82*j + 1354. Let o be w(-59). Is 5 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -750434 divided by 2.\nAnswer: -375217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1914)\/54 - (-2222)\/(-606)) + (-1 - -6)\/45.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**6\/3 + 5*a**4\/2 + 100*a**2 - 40. What is the second derivative of l(s) wrt s?\nAnswer: -40*s**3 + 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 3. Let t be (-1)\/(-1) - (u - -2). Solve -y + 3 = t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -10) + (-6 - -9 - -39).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 1. Let s = 4 - 2. Let y(t) = -5*t**3 + 8*t - 3. Suppose 12*m - 92 = 59 + 17. Let k(b) = m*u(b) + s*y(b). Find g such that k(g) = 0.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -12*s - 13. Suppose -15 - 37 = -4*u. Suppose 3*g - u = 4*g. Let l be d(g). Calculate the highest common factor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1331)*-1*4 - (-3*sqrt(99)*1)\/(2*sqrt(324) + sqrt(9)))**2*-2.\nAnswer: -115470982\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.32 in 4, 9\/7, 0.5, -5\/6, -20\/23?\nAnswer: -20\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 41*i - 40. Let z be y(-28). List the prime factors of z*7\/(84\/32).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23)\/28 + (-2)\/(-8). Let j = 154 - 184. Let r be (-35)\/j*(3 + (-76)\/28). Which is the closest to k? (a) 0.4 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-45) - 27\/5. Let u = 1.34 + -0.51. Let t = -0.33 + u. What is the biggest value in r, t, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 8 + 2 + 1)*(0*d - 8*d - 3*d).\nAnswer: -22*d**2 + 55*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8787 times -0.2?\nAnswer: 1757.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 11:49 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 2:56 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*h**2 + 45*h**3 + 91*h**2 - 6.\nAnswer: 45*h**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -8899966 >= -8899967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 - 17*p**2 - 52*p - 1018. What are the prime factors of i(-26)?\nAnswer: 2, 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 3 = -q, -4*b + 27 - 37 = 2*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**4 + 10470*f**3 + 62913*f**2 + 52440*f = 0.\nAnswer: -5, -1, 0, 3496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/600 and -123\/531800.\nAnswer: 1595400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.4 and 15136.\nAnswer: 15133.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3393062?\nAnswer: 2, 419, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 23288437803?\nAnswer: -23288437810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4097 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 10 = -5, 3*c = 5*q + 37. Let i(k) = 6*k - 4*k**3 + 7*k**3 - 2*k**3 + 9*k**2 - 7. What is the units digit of i(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1548\/90 + (-9)\/45. Solve -v*q = -12*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9 + (-179)\/3. Suppose 2*v = v + 6. Calculate the remainder when (p\/25)\/(3\/(-10)) is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x**2 - 23*x - 267 - 4*x**2 + 270. Let j(p) = -3*p**2 - 8*p + 1. Determine 17*j(z) - 6*q(z).\nAnswer: 3*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16887587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.4327 - -2.6327. What is the closest to 1 in -21, d, -1\/9, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 918656 + 1089966. Suppose 13*q - 3230378 - b = 0. What is q rounded to the nearest ten thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/8175744 and -37\/10872.\nAnswer: 8175744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100065773*f**3*z - 2*f**2*z + 756*f**2 + f*z + 6696*f + z wrt f?\nAnswer: -600394638*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665650 is divided by 3012?\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 84*m + 420 - 17558. Calculate the lowest common multiple of m and 855.\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/6 - 4\/(14\/7). Let f = 6.8 - 7. Let x = 0.8 - 1.2. Which is the nearest to f? (a) q (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(1396 + 1401 - 2769 + 14*x).\nAnswer: -28*x - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 755.5*6630.\nAnswer: 5008965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -965861 + 4804.\nAnswer: -961057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) - (sqrt(108) - (2*sqrt(108)*-1 + sqrt(108) - sqrt(108)))) + 4)*3)**2.\nAnswer: -864*sqrt(3) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69 and 4193811.\nAnswer: 96457653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*-1)\/(sqrt(144)\/sqrt(3) + sqrt(3)) - 1*(0 + (sqrt(3) - (sqrt(75) + -3))).\nAnswer: -3 + 16*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51720 (base 8) to base 11.\nAnswer: 15136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 + 46*i**4 - 94*i**4 - 2*i**3 + 0*i + 41*i**4 - 3*i + i**2 + 2 as d*i + g + w*i**3 + u*i**4 + a*i**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1879301.844s?\nAnswer: 3.10731125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 9*r**2 - 13*r - 15. Let c(l) = -4*l**2 + 0*l + 8 + 7*l - l**2. Let d(t) = -4*b(t) - 7*c(t). What are the prime factors of d(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = 2. Suppose 2*i = -i - 3*n + 9, -n = o*i - 8. Suppose -i*v + 4*v = -7. Solve -3*b = 5*q - 2, 2*b + b - 4*q + v = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - 3d?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(4050) + 4.\nAnswer: 1 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 9*s**2 - 8*s + 2. Let b be x(-8). Suppose b*n - 4*n = -10. Suppose 4*r - n = 27. Calculate the highest common factor of r and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -t, -3*t + 3*r + 2 = t. Suppose -2*g + 0*m = -3*m + 11, -t*g + 29 = 5*m. Put 7, -5, -4, g in descending order.\nAnswer: 7, g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 5*z - 10, 5 = z - 0. Let j(a) = 3*a**2 + 5. What is the tens digit of j(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, l: 3, n: 2}. Give prob of picking 1 l and 1 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627272 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r + 3. Let l be j(-4). Let o be 2\/6 - 308\/l. Suppose u - 10 + 3 = 0. Solve u*i - o = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -172*h**3 + 4*h**2 + 22*h - 11. Let r(s) = 87*s**3 - 2*s**2 - 12*s + 6. What is 6*c(u) + 11*r(u)?\nAnswer: -75*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 265 - 6093\/23. Let s(w) = 6*w**2 + 2*w + 2. Let z be s(-2). Let r be 6\/(-12) - (-15)\/z. Which is the second biggest value? (a) d (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10684*a**5 + 2*a**4 + 12*a**3 - 3*a**2 + 23700*a?\nAnswer: 641040*a**2 + 48*a + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 172*p - 79*p - 97*p. Let d(u) = 3*u**2 + 3*u. Calculate w(d(r)).\nAnswer: -12*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15769 - 4271. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3508.26 + 3478. What is d rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*k**3 - 5273 + 3515*k + 2*k**2 + 30*k**3 - 6*k**2 - 3515*k wrt k?\nAnswer: 117*k**2 - 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**4\/12 - s**3\/6 + s**2 - 2*s. Let n(m) = -4*m + 28. Calculate the smallest common multiple of n(3) and p(4).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*k + 44*k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*d - 141304 = 0, 56*x + 2*d = 51*x + 353238. What is the ten thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = s - 6, 4*s - 2*m - 30 = -s. Let i(z) = -z**2 + 10*z - 8. What is i(s)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*99954\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-39)*85\/(-34)*(-24)\/10?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/15)\/((-21)\/(-10))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s + 28. Calculate the remainder when 14 is divided by n(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3262 smaller than 0.2588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x + 6 = -24*x. Solve 0 = 16*i - 17*i - x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219079, 219075, 219067, 219055, 219039?\nAnswer: 219019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 351475 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**3 + 19*f**2 + 32*f + 2. Give h(-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-132 + 130)\/((-2)\/801809) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 63?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3969 = -42*n + 15*n. Calculate the lowest common multiple of n and 8.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2341690 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3400042 (base 5) in base 4?\nAnswer: 32200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-130)\/(-52))\/(9\/(-54) - (-15)\/117)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40829963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j**3 - 2*j**2 + 2*j - 1. Let t be 8 + (-8 - -3) + 0\/(-2). Suppose -20 = -3*i - i. Suppose 1 = t*w + 4*v - 2, i*v = 5*w - 5. Give x(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -344078602 > -344078604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*h + 73*h + 21*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181164 is divided by 99?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - 57?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 10*q**2 - 5*q - 8. What is the tens digit of a(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((336\/49)\/8*14)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 77 (b) 2 (c) 0.0455\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -239613198 divided by 561\nAnswer: -427118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497677194?\nAnswer: 2, 3, 7, 3949819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)*d\/((d*d*d\/d**(3\/7))\/d))\/((d\/d**(2\/3))\/d)**22 assuming d is positive.\nAnswer: d**(233\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 67, -202, -699, -1418, -2353?\nAnswer: -3498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-86)\/258)\/((-2)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -742 - -1831. Suppose -3*c = 8*c - x. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17244?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 + 2*u + 37705. Let n(b) = -b**2. Give f(n(v)).\nAnswer: 3*v**4 - 2*v**2 + 37705","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 6:34 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1296)\/90)\/(2\/(-10))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/20)\/((-3360)\/(-4200)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1912 - 1910.0472. Let p = y - -0.0472. Which is the closest to 6? (a) p (b) 0.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/241 and 71\/8.\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/5)\/((r*r**(3\/11))\/r)*r\/(r\/((r**(2\/13)\/r)\/r))*r*r**(4\/3)*r assuming r is positive.\nAnswer: r**(3034\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32080 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2940 and 98?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 18*v + 246. Calculate j(11).\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5649 - -5654.498. Let j = 5.3 - i. Let p = j - -0.2. Round p to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*i + 2*i + 80, 4*i + 48 = 2*k. Suppose 0*c - c - 5*f - 13 = 0, 22 = 5*c - 4*f. Let v(r) = r + 1. Let p be v(5). Solve k - p = -c*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**3 + 1. Let n(d) = d + 2. Let u be n(2). Suppose -3*i = 7 - u. What is z(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1 - 3*g**2 - 2*g**2 + 4*g**2 + 9 - 4*g. What is l(-8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13406 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/9 - 142*p**3\/9 - 890*p**2\/3 + 22*p + 20328 = 0. What is p?\nAnswer: -33, -12, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -104, 2, 17, -3, 12, -2.\nAnswer: -104, -24, -3, -2, 2, 12, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + f**2 + f - 1. Let m(a) = 4*a**3 - 2*a**2 - 4*a - 11. Let b(w) = 3*l(w) - m(w). Is b(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -138*z**4 - 19285*z - 90 + 19285*z wrt z?\nAnswer: -552*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + 56 - (-380)\/(-35) - (-12)\/14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1437 and 1?\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4.86 * -1\nAnswer: -4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*a**3 + 2*a**2 + 37173*a - 3286775 wrt a?\nAnswer: 27*a**2 + 4*a + 37173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4\/3 + 13783*o**3\/3 - 1360243*o**2\/3 + 1318889*o\/3 + 897638 = 0?\nAnswer: -13881, -1, 2, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f. Let n = 26 + -23. Let h(l) = n*l - 39 + 39. Let c(s) = -2*s + 2. Let d be c(5). Give d*v(g) - 3*h(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4090 - 4076. What is the remainder when p is divided by 4\/(-2)*-2*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - v = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, y: 1, r: 1, x: 2}. Give prob of picking 1 f and 1 r.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/20*(-90)\/(-324)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4977*r - 2. Let n(u) = 16*u**2 - 71. What is b(n(i))?\nAnswer: 79632*i**2 - 353369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 60. Let g = 376 + -372. Suppose g*l = 5*r + 94, -2*l - 3*r + 62 = 2*r. What is the highest common divisor of l and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1887189322.\nAnswer: 2, 943594661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-24)*6\/(-4)*(-1 + 9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 194113184*u**5 + 7381*u - 6094.\nAnswer: 3882263680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-168)\/(-30) + 2\/5 and ((-6)\/(-5))\/((-2)\/(-15))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 21 + 29 = 0. Is -1*c\/5 - 14427\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 a factor of 9152166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/((-4)\/(-72)). Let g = 4 + u. Let x(k) = -k**3 - 4*k**2 + 6*k + 7. What are the prime factors of x(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146242070?\nAnswer: 2, 5, 13, 29, 38791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 19 = 5*z, -3*b + 122 = b - 3*z. Suppose b = -3*m + 4*m. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-284 + 283)*8\/1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121916207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -6. Suppose -z + v = -0*z. Suppose z*f + 94 = 4*c, -4*c + 31 = -3*c + 2*f. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, -3, -4.\nAnswer: -4, -3, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 6, 2*r + 8*j - 14 = 3*j. Solve y + r = 3*d, -4*d + 13 + 2 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 10*k**2 + 15*k + 8. Let x be h(-11). Let c = -35 - x. Let o(f) = -7*f**2. What is o(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -343507 and -343509 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97492, -194475, -291458, -388441?\nAnswer: -485424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - w - 2 + (-w + 0 + 0)*(1 + 1 - 1) + 2 - 2 - w + (4*w + 3*w - 3*w)*(2 - 1 - 2) + (-3 + 1 + 1)*(-5*w + 0*w + 3*w))*(-6*w + 2*w + 3*w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 111, 173, 239, 309?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2362 to 2 dps.\nAnswer: -2.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5 = -6*i. Let s = -3 - i. Differentiate s*k - 6 + 4 - 2 with respect to k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - p = 325, 2*d + 0*d = -p + 335. Let m be 187\/d - (0 - -1). Which is the third biggest value? (a) -5 (b) -8 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/4)*g*g)**(1\/17))**(3\/13)*(g**(2\/3)\/g)**(-12\/7)\/(g**(-1))**(-26) assuming g is positive.\nAnswer: g**(-157121\/6188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46, 131, 258, 427, 638, 891, 1186?\n\"Answer: 21*y**2 + 22*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -98926, -197860, -296794?\n\"Answer: -98934*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -744391.141 rounded to the nearest 100?\nAnswer: -744400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20557577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 - -3.99. Let l = 48591 + -48587. What is the closest to q in -3, 3\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2402240528.\nAnswer: 2, 19, 467, 16921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/234)\/(-1))\/(13\/39)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 3:36 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 180, 212, 246, 282, 320?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, t: 6, a: 1, u: 2}. Give prob of sequence ut.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -41*d + 95. Let g(o) = -167*o + 381. Let b(h) = -6*g(h) + 26*x(h). What is the derivative of b(z) wrt z?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q\/((q\/q**(-4\/3)*q)\/q)))*q**(-2\/29)*q*q\/(q*(q\/(q*q\/(q*q**0)))\/q*q*q*q*q*q*q*q)*q**(-5)\/q assuming q is positive.\nAnswer: q**(-1079\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 + 3*g**2 - g - 2. Let l be i(-2). Let r = -2 - l. What is the units digit of (r*(-6 + 3))\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, s: 3, y: 7, k: 3, w: 3}. Give prob of picking 2 k and 1 s.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from mbxmlll.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84438?\nAnswer: 2, 3, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*s - 13957 + 37605 = 8472 for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-13)\/q))\/q)\/q*q*q\/(q**(-1\/10)\/q) assuming q is positive.\nAnswer: q**(161\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28848256, 28848255, 28848254?\nAnswer: 28848253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 3*u. What is t(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -75*u**2\/8 + 523083*u\/4 + 125541\/8 = 0. What is u?\nAnswer: -3\/25, 13949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 = 5*i - 117. What are the prime factors of i?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000536122857 rounded to seven dps?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-22)\/(-3))\/((-6)\/(-9)). Let j = -11 + c. Let l be (-1 + j)*(12 + -7). Let t(a) = a + 2. Determine t(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150924144392 minus -0.3?\nAnswer: -150924144391.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + (-5 - -2 - -5). Calculate the greatest common factor of 40 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 1. Let u(f) = -6*f + 7. Let a = -23 - -9. What is a*n(z) + 2*u(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*o**3 + 45*c*o**2 - 3*c*o + 12*c - 4*o**3 - 11*o**2 - 163*o wrt o?\nAnswer: -12*c*o + 90*c - 24*o - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 187628 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 3 - 2*p + p. Let c be y(-8). Let z = 40 - c. Is z at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -7*h**2 - 3*h - 1. Let b(d) = 10*d**2 + 4*d + 2. Suppose 13*g + 26 + 39 = 0. Give g*b(r) - 7*u(r).\nAnswer: -r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -m - 3. Let w = 23 - 28. Which is the closest to 0.1? (a) w (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407\/(-44) + -4 + 13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 376 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -3, 4, 444 in decreasing order.\nAnswer: 444, 4, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*m + 42. Suppose m*l + 6 = 5*p, -4*l + 1 = p - 14. Suppose 6*s - 5*s - a - 70 = 0, -5*a + 226 = l*s. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2735261 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**2 + 1046*g - 99474.\nAnswer: 6*g + 1046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -14*h**3 - 10*h**2 - 2*h. Let p = -34 - -33. Let g(v) = v**3 + v**2. What is p*f(j) - 12*g(j)?\nAnswer: 2*j**3 - 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**5\/2 + 23*g**4\/2 + 15*g**3\/2 - 35*g**2\/2 - 10*g + 6 = 0 for g.\nAnswer: -3, -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*-1*sqrt(125))**2 + -2.\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28197465*h + 28197465*h + h**3 - 2*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/72)\/((-3)\/6 - -1). Which is the closest to -2? (a) 2\/7 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 30 + -16 - (-5 - (11 - -5)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3168147 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 5*p + 2, -5*a - p - 4 + 10 = 0. Let x(m) = 3*m. Let q be x(a). Suppose -q*u + 12 + 18 = 0. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99896, 399672, 899300, 1598780, 2498112, 3597296?\nAnswer: 4896332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 9 + 9 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 4*j + 3 - 3*j**2 - 1. Let x = -816 - -819. Determine l(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -5, -80, 8.\nAnswer: -80, -5, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12270367 is divided by 454457.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 703.793 - -1.207. Let t = j + -700. Which is the closest to 2\/5? (a) t (b) -7 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u - 4*u + 5*u)*(-10*u + u - 3*u) + (2 + 2*u - 2)*(0*u + 2*u - 3*u) as m*u**2 + q + d*u and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 321153 - 0?\nAnswer: 321153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.9267226 rounded to 1 decimal place?\nAnswer: -62.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21\/8 + -15\/8. What is t in -3\/4*t**3 - 9\/4*t**2 + h*t**4 + 3\/2 + 3\/4*t = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/((-95)\/6))\/(69\/(-920)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((0 + sqrt(468))*-2)**2 + (sqrt(78)\/sqrt(3))\/sqrt(2)*-6 + 0.\nAnswer: -6*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.073 - 14.573. Let w = 12 + p. Let q = 2.4999944 + w. Round q to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 5*l**3\/3 + 2*l**2 - l - 2. Calculate the remainder when w(-3) is divided by (-3 - -2)\/((-1)\/11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23\/2661 or -1?\nAnswer: 23\/2661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 2 - (2 + -3). Is w\/((-1 + -1)\/(-422)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n + 37 - n + 2*n**2 - 7*n as a*n**2 + c*n + m and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29961 - -30132. Calculate the highest common factor of k and 2109.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4094, 8192, 12290?\nAnswer: 16388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 858 - 855. Let f = -6 - -10. Suppose f*h + 0 - 4 = 0. Calculate the smallest common multiple of y and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -23. Let v(l) = -l**2 + 8*l + 11. Let f be v(h). Find the third derivative of 4*x**5 + 2*x**5 - 4*x**5 - x**f + 7*x**2 wrt x.\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4)\/n)\/(((((n\/(n*n**3))\/n*n*n)\/n*n)\/n)\/n))\/((n**(5\/3)*n)\/n**4)*((n**(-1\/7)*n)\/(n*n\/n**2))**(27\/2) assuming n is positive.\nAnswer: n**(1315\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 + 134 - 47 - -110?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16474663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19410533 and 4.\nAnswer: 19410537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b - 71 + 43. Let x(t) be the second derivative of t**4\/12 - t**3\/2 + t**2 + 4*t + 4. Determine x(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1413244459215447 - 1413244534983776.9300181. Let c = -75768649.93 - w. Let l = -320 - c. Round l to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010211 - -11?\nAnswer: -2010200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**3 + 13*s - 13*s + 4*s**4 + 2*s**2 - 1 + 2*s**3 in the form i + d*s + q*s**3 + u*s**2 + b*s**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 4*t**2 - 2*t + 7. What is j(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -13. Let l(g) = -g**3 + 9*g**2 - 16*g - 9. Let y be l(x). Let v = 6 - 2. Solve -5 - y = v*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4903 less than 4904?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254540.\nAnswer: 2, 5, 11, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2*q - 2 - 1, 5*n - 11 = -3*q. Solve 3 - n = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 21473\/5, 0 in increasing order.\nAnswer: -0.01, 0, 21473\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5*u - 10 + 42, -y - 2*u = 14. Let n be (-3 - y)\/(9\/6). Suppose 4*m = 2 + 6. Solve 0 = -m*a - 2 - n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -35*n + 34*n. Suppose 3 = 3*f - n, -5*f = 4*s - 5479. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*u + 0)*(4*u - 2*u + 0*u)*(13 + 4 - 1) to the form b*u + i + y*u**2 and give y.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6324708 decades?\nAnswer: 75.896496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.06126, -1\/9, 2, 0.3.\nAnswer: -1.06126, -1\/9, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/19, -2.964, 45, 1, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 + 128*w**2 + 645*w + 1126. Give n(-59).\nAnswer: -2119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/4*(10\/25)\/(12\/20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + 0 + sqrt(112) + (sqrt(112) - (sqrt(112) - (1 + sqrt(112) + -3))))**2.\nAnswer: -2260 + 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/3820160 and -22\/5?\nAnswer: 3820160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/2)\/(2\/(-4)) - (-255)\/(209610\/4384).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*t = 4*t + 12, -5*n + 3*t = 20. Let r be ((-2)\/(-4))\/(2\/n). Are r and -3\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32100113 (base 5) in base 13?\nAnswer: -95458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 918 > 913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26181 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**3 + 4*x**2 + 7*x + 4. Let i(o) = -o**3 - o**2 - 1. Let f(t) = -4*i(t) - k(t). What is the second derivative of f(z) wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203888 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r**2. Let a(b) = 1. Let s(k) = -k**2 - 2. Let g(l) = 6*a(l) + 3*s(l). Determine g(x(u)).\nAnswer: -300*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3)\/v**(5\/4))**(1\/21))**(1\/33))**7 assuming v is positive.\nAnswer: v**(-17\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)\/g*g**(12\/11))**(5\/7) assuming g is positive.\nAnswer: g**(-325\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(26)\/((sqrt(2) + sqrt(8))*-4).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.23811m in nanometers?\nAnswer: 19238110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2 + 3*a + 69. Calculate l(12).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + sqrt(325) + sqrt(325) - (5*sqrt(325) - sqrt(325))*-2)**2.\nAnswer: 200*sqrt(13) + 32504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v + 1. Let t(b) = 2*b. Give o(t(i)).\nAnswer: -8*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4836*v**3 - 4840*v**3 + 9663*v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 47744, 190619, 428748, 762131, 1190768, 1714659, 2333804?\n\"Answer: 47627*q**2 - 6*q + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5420 and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**2 + 176*r - 1877. Calculate s(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u + 5. Let v(r) = -r**3 + 8*r**2 - 2*r + 8. Let g be v(8). What is the remainder when p(g) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1815 = -2*i. Suppose -k - 2*k = -i. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 95*v + 450. What is p(-5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(136) + sqrt(136) + 2*sqrt(136)))\/((sqrt(64) + (sqrt(64)*-2 - sqrt(64)))\/sqrt(8)))**2*5.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 30684*i + 7850360.\nAnswer: 4*(i + 265)*(i + 7406)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/9 - 1054*c\/9 - 1052\/9.\nAnswer: -2*(c + 1)*(c + 526)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13160767 and 11?\nAnswer: 144768437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-702)\/(-42) + -87 + 69?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/5, -7, 3\/2, -2\/9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -28250?\nAnswer: 169500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1102.4, -4, -1\/142 in descending order.\nAnswer: 1102.4, -1\/142, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 44, -24, -5, -55, -3 in decreasing order.\nAnswer: 44, 4, -3, -5, -24, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771 a factor of 40483289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 6*u - 2*u. Suppose 4*o + u = -2*r, -4*o = 5*r - o + 137. Let z = -10 - r. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8048*n**2 + 15437*n**2 - 7784*n**2.\nAnswer: -395*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5 - 13. Suppose -c*j + 30 = 3*j. What is the highest common divisor of 12 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 3*u. Let n(v) = 3*v**2 + 8*v + 1. Let t(s) = 3*n(s) - 8*q(s). What is the units digit of t(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -258355?\nAnswer: 258355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, b: 4}. Give prob of picking 2 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -5 (c) -0.5 (d) -9.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11123150 divided by 4135\nAnswer: -2690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11045 - 10940. Solve -96*m = -d*m - 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400225 is divided by 729?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/73, 7, 48 in decreasing order.\nAnswer: 48, 7, -4\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 245*a - 24. Calculate the remainder when h(3) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 88?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 13*q**2 + 2*q - 26. Let r be o(13). Which is the fourth biggest value? (a) 5 (b) -2\/9 (c) -0.4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3\/l**4)\/(l**(-5)*l*l*((l\/l**5)\/l)\/l*l*l)*l**(-1)*l\/(l*(l\/(l**(2\/9)\/l))\/l)*l**(-3\/7)\/l**(-5) assuming l is positive.\nAnswer: l**(554\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163 - 96. Calculate the remainder when n is divided by 17\/(4 + 15\/(-5) + 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -5*j**4\/24 + j**3 + 4*j**2. What is the first derivative of q(x) wrt x?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Let c be (1 - (-10)\/(-4))*4\/(-6). Let s = -112 + 116. What is the closest to c in s, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.598+1107600\nAnswer: 1107598.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 10 = 3*z - 1, 4*t = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13.01*-1.62\nAnswer: -21.0762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 7*t + 870 - 1194 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -4, 28, 94, 206, 376, 616?\nAnswer: 938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 3:35 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.83045 + 2.92. Round g to 3 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4728, 9400, 14072?\nAnswer: 18744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 + 305 = 12*m. Suppose -2*r + 68 = -4*y, 76 = 3*r - 3*y - m. Solve 13 - r = 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 2*g - 10 = -3*g, 3*g + 20 = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**2 + 82227633*v + 82227573*v - 164455206*v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4 + 16*n**3 + 446*n**2 - 484*n - 912 = 0. Calculate n.\nAnswer: -12, -1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -17 + 10. Is -55\/9 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 47*h**3\/6 - 25*h**2 - 23*h. Is p(6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10329 + 186065\/18. Let n = 2\/36019117 - -56749066697\/144076468. Let p = -1567\/4 + n. Find the common denominator of x and p.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 e, and 1 q when four letters picked without replacement from {r: 6, q: 3, o: 6, f: 2, e: 3}.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -155 - -552. What is the remainder when l is divided by (-281 - -281 - (-1*1 - -7))\/(51\/(-680))?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 1145424*o**3 - 109334157066*o**2 - 218664877872*o - 109331866227.\nAnswer: -3*(o + 1)**2*(o + 190903)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1340609 and -22.\nAnswer: -29493398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*1*((-328)\/(-12) - -7). Let b = 202 + g. Sort -17, -3, b in descending order.\nAnswer: -3, b, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-6 + -1 - (0 + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:17 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/8*(-4)\/20.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 10476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3920 = -97*s - 183*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 7*l - 56. Suppose -11*v = -l*v - 612. Find the common denominator of 115\/6 and (v\/(-80))\/(18\/4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 9*t**8\/392 - 144*t**7\/245 - 39*t**6\/35 + 73*t**5\/105 + 121*t**4\/84 - 34*t**3\/21 - 5*t**2 + 2. Determine g so that j(g) = 0.\nAnswer: -1, -2\/3, 1\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30621, -30610, -30599, -30588?\n\"Answer: 11*p - 30632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -864 by -8.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -293*l + 289*l - 0*f + 25, -1 = f for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - l**2 + 17*l + 33. Let f be q(-3). Solve f = 2*w + 4*s - 10, 69*w - 67*w + 5*s = 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*(sqrt(5) + -1) + -4 + (sqrt(5) - sqrt(25)\/sqrt(5)) - (1*sqrt(5)*1 + 1)**2) + 1 + -2).\nAnswer: -18 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssuuuuueusssusueuuus. Give prob of picking 2 u and 1 s.\nAnswer: 77\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a week?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + 0 + sqrt(1331) + sqrt(1331))**2 + sqrt(33)\/(sqrt(6)\/sqrt(2)))*6 + (sqrt(495)*-2)\/(-5*sqrt(80)).\nAnswer: 63*sqrt(11)\/10 + 71874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 143*c**4 - c**3 + 40*c**2?\nAnswer: 3432*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2119*n**2 - 310*n + 617. Does 37 divide l(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/40 and -23\/45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/12)\/c)**(-37)*(c*c\/c**(-8)*c*c*c)\/(c\/(c*c**(5\/7))) assuming c is positive.\nAnswer: c**(4519\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m - 8*m + 15 + 12*m**2 - 16. Let h be i(-1). Solve 3*u**2 - 8 + h*u - u + 29 + 11*u = 0 for u.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 8:39 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64) + sqrt(64) + 5*(sqrt(64) - sqrt(64)*-1) + sqrt(64) + sqrt(64) - (sqrt(64) + -2*2*sqrt(64)))\/(sqrt(800)*1 - -2*sqrt(128)).\nAnswer: 17*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v**(-1\/4)))*v)\/(v**(3\/7)\/v)*(v\/v**(-7))\/v*v\/(v*v**(-2)*v))\/((v**(-2\/7))**(-47)\/(v*(v\/(v**(1\/4)\/v))\/v)**(-6)) assuming v is positive.\nAnswer: v**(-381\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(33)\/sqrt(3))*-3 + (((-2*sqrt(99))\/sqrt(9))**2 - (-2*sqrt(1584) + sqrt(1584))).\nAnswer: 9*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {y: 1, q: 8, z: 3, m: 6}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*f + 28*f**2 - 47*f + 22*f)*(670*f - 269578 + 269578).\nAnswer: 18760*f**3 - 1340*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-3)\/9)\/((-26)\/390).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16640095027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -669, 80, 4 in decreasing order.\nAnswer: 80, 5, 4, -2, -669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 730914 - 730914 + 8*f**3.\nAnswer: 8*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*n + 4 = -3, -3*j = -5*n - 17. Let b(o) = 7*o - 5. Let d(k) = k - 1. Give j*b(y) + 5*d(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.6 - -27.8. What is the nearest to -2 in 2\/9, g, -4, 1\/22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3 and -105?\nAnswer: -136.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 12*w**2 - w + 12. Let u be v(12). Suppose 2*t + u*t = 32. Let q = 16 - t. Solve q = n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 11*g + 27. Let i be j(3). Suppose -19*c = -i*c - 32. Solve 0 = -d + 5*d + 2*z - 18, 0 = d - c*z - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 226407 - 226197.897. Let a = v + -209. Let g = a - 0.1109. What is g rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (359 - 3*l - 351 - 2*l)*(-139*l + 16 + 280*l - 137*l).\nAnswer: -20*l**2 - 48*l + 128","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v**2 - 142440*v + 56980 = 0 for v.\nAnswer: -5698, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + 0*z**3 + 0*z**3)*(1222 - 488 + 1854 + 1339).\nAnswer: -3927*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2 - t + 1 + 2. Let n(u) = -u. Let v = -15 + 9. Let l = -8 - v. What is l*n(k) + f(k)?\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -11. Suppose -10*t = -n + 37. Let s(k) = -k**3 - 3*k**2 - k. Let v be s(t). Is v smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 11:36 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, k: 14}. What is prob of sequence cck?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59203.58ng to kilograms.\nAnswer: 0.00000005920358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -9. Suppose -24*o = -27*o. Let 0 - 2\/3*l**2 + 0*l**w + o*l + 2\/3*l**4 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11*g**2. Let f(c) = -12*c**2. Let r(t) = 2*f(t) - 3*y(t). Let v(l) = l**2. Calculate v(r(j)).\nAnswer: 81*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*v + 3*o - 22, 17*v + 2*o + 2*o = v - 40 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w**(-8)*w))\/w**(1\/4))\/(w**(-1))**15)**(9\/2))**(-1) assuming w is positive.\nAnswer: w**(-819\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.307304 millilitres in litres?\nAnswer: 0.006307304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54345608*p**2 + 3542895 wrt p.\nAnswer: -108691216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k + 16. Let n be j(-3). Solve 5*u + 3*d = 4*u - 5, 4*d + n = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 16778440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/9 - 76*a**3\/9 + 18*a**2 + 364*a = 0. Calculate a.\nAnswer: -39, -6, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1703081 or -1703017?\nAnswer: -1703081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 7722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.2 - -0.7. Let j = x - -2.49956. What is j rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 5:50 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 856 and 73938070?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1927276580.\nAnswer: 2, 5, 757, 127297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22b894 - -2?\nAnswer: 22b896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4316432 (base 7) in base 3?\nAnswer: 222201010012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -154376, -308686, -462996, -617306?\n\"Answer: -154310*n - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**6\/300 - t**5\/75 - t**4\/60 - t**2\/2 + 3. Let w(q) be the second derivative of n(q). Determine z so that w(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.4 + -6.3. Let z = 116\/173 - 2\/519. What is the nearest to z in -4, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 439*p**3 + 5*p**2 - 5. Let m(k) = 4830*k**3 + 56*k**2 - 56. Give -5*m(u) + 56*q(u).\nAnswer: 434*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 2*x**5 - 6*x**4 - 47*x**2 - 624. What is the second derivative of t(p) wrt p?\nAnswer: 120*p**2 - 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 519 - 791. Let m = h + 268. Which is the second smallest value? (a) 2\/5 (b) m (c) 100 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 < -215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5072 + -5086. Put r, -2, -1 in ascending order.\nAnswer: r, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 at least as big as 3121\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m - 18*m**2 - 12*m + 24*m**4 + 13*m - 9*m**5 + 1 - 12*m**3 - 7 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 + 3*q**5 + 65*q**3 - 65*q**3)*(-2 + 0 + 3).\nAnswer: 3*q**5 - q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/5*160\/32.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fssensdnddonsedddsdn. Give prob of sequence oedn.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 81*c + 173. Determine k(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*r + 2*r**2 + 1000*r + 386*r to o*r**2 + x + b*r and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1600073433 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 31905702?\nAnswer: 31905701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-525)\/(-90) + -5)\/((-5)\/(-2)). Suppose o + 59 = 4*j - 0*o, 4 = 4*o. Let y be (-3)\/((j\/6)\/5). Which is the biggest value? (a) k (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 255 + -253. Solve 0 = 4*d - 3*q + 12, -2*d + 2*q = -s + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/5*55\/(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119 - -90. What is the highest common divisor of q and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -3, 0, -237, 456, 2 in descending order.\nAnswer: 456, 2, 1, 0, -1, -3, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5336 is divided by 5322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1140813 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/10477 or -1?\nAnswer: -2\/10477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 8, -2 in decreasing order.\nAnswer: 8, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1860 and -9\/670?\nAnswer: 124620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - d**2 + 1. Suppose t = -4*t - 2*r + 15, 2*t - 22 = -4*r. Let a(l) = l + 0*l**2 - 2*l**2 + 3*l**2 - 1. What is t*a(h) + g(h)?\nAnswer: h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 339865 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529641540.\nAnswer: 2, 5, 7, 29, 376759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*x**5 + 39320*x**4 - 196085*x**3 - 29495*x**2 + 156905*x - 49025 = 0. Calculate x.\nAnswer: -1, 1\/2, 5, 1961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)\/(i*i\/(((i*i**4)\/i)\/i)))**(2\/29)\/((i*i*i*i**(1\/2)*i*i)\/(i**4*i)*(i\/(i*i**(-1\/2)*i))**(-10\/11)) assuming i is positive.\nAnswer: i**(-4997\/5742)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-18)*f*f**(-22)\/f*f**(-5)\/((f\/(f*f**(-25)*f*f)*f)\/f*f))**42 assuming f is positive.\nAnswer: f**(-2898)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 72 - 0. Calculate the smallest common multiple of g and 11.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 452 and 6?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012023 (base 4) to base 3.\nAnswer: 102210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.5 (b) -3\/2 (c) 8 (d) -9 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1935*f - 1523*f - 631*f - 1547*f + 335*f.\nAnswer: -5301*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*s**4 - s**3 + 3*s**2 - 2*s wrt s?\nAnswer: 1104*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + h - 1. Let k(p) = 10*p - 7. Let v(a) = k(a) - o(a). Determine v(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -292, 0, 0.4, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*d + 66*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 654.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 755 - 83 = 0. Let j be (-2)\/(-12) + 826\/f. What is the least common multiple of 36\/10 - 6\/j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*i, 12*i - 105 = -4*q + 7*i. Solve 0 = -5*k - q, -4*w + k = -8*w + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95 - -57. Let v = -25 - s. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*m - 101 = 3*m, -4*m - 58 = -q. What is the remainder when q is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4658442 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 + (5 - 186\/15))*65. Calculate the greatest common divisor of 923 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/(-465)*1\/(6\/10)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 4*u - 2. Let l be n(5). Let t(x) = -x**3 - 7*x**2 - 4*x - 2. What are the prime factors of t(l)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(8160\/(-2064))*-5?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8015 and 29715?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + n**2)*(6*n**2 + 4*n**2 + 3*n**2) + n**3 + 14*n**4 - n**3.\nAnswer: 27*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**3\/3 + 26. Let g be w(0). Let u be (-2)\/5 - 127\/(-280). Is g greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - s + 2. Let b be m(0). Suppose 2*x - 12 = -b*x. Suppose -x*k + 0*k = -48. Calculate the greatest common factor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-10 - (-3 + (-1 - 1)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**5 + 135*j**4 + 1710*j**3 + 4350*j**2 + 4095*j + 1323.\nAnswer: 3*(j + 1)**3*(j + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 141*k**3 - 11*k**2 - 24*k + 95. What is the tens digit of q(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21890360 and 19154065?\nAnswer: 153232520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -2)*(-9)\/12. Is (-16)\/((-13)\/4 - i) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*y + 102410 = 11*y - 2*y. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 957.213 hours to microseconds.\nAnswer: 3445966800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - 25*q - 19. Let u be c(-14). Let s = u + 64. Solve 9 = -s*f - 0*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -57*x - 325. What is the remainder when j(-10) is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2964 + -2087. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2\/9 - 14*i\/9 + 4\/3 = 0?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -25. Let z(d) = -9*d. Let l(m) = 5*m. Let r(n) = b*l(n) + 3*z(n). Let i(y) be the first derivative of 2*y**3\/3 - 1. Determine i(r(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 5:29 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -2*f + o + 10, 2 = -5*f + 2*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 232.4 + -1216.4. Let g = 980 + v. Let y be 4*1\/(-36)*2. What is the third smallest value in g, -8, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9493 - 8938. Calculate the smallest common multiple of g and 1295.\nAnswer: 3885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-229*w**3 - 263*w**3 + 1293*w**3)*(2 + 4 - 4) + (-w + 0 + 0)*(-8*w + 8*w + w**2) as y*w + t*w**2 + c*w**3 + h and give c.\nAnswer: 1601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 33 = -2*l. Calculate the smallest common multiple of 8 and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501936317.\nAnswer: 501936317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-579*i - 292*i + 74*i)*(14*i + 11*i - 23*i + 25) + (-1 + 1 + 2*i)*(-i - 3*i + 3*i) to g*i**2 + m + w*i and give w.\nAnswer: -19925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 212 + -211.499. Round p to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-75)\/6)\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/57 + 41\/171. Sort 3, -0.13, m in decreasing order.\nAnswer: 3, m, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -35, -39, -43?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2000*v. Let g(n) = 10*n. What is g(m(u))?\nAnswer: 20000*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 16 = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3221671 and 81304?\nAnswer: 25773368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + (1362\/(-10))\/((-12)\/60)?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 9*q**2 - 16*q + 3. Let m be j(-10). Suppose 0 = m*l - 50*l - 26. Solve 0 = -l*o - 2*o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730347920 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*x + 47*x + 576 = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -89d - 1471?\nAnswer: -1d1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -23*r**7\/21 + 133*r**3\/6 + 8*r**2. What is the derivative of b(z) wrt z?\nAnswer: -920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3159961 and -1014?\nAnswer: 3158947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1769 - 29.48393805?\nAnswer: -1798.48393805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2389*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = -9*k + 345. Solve 2*p - k*d = -3*p - 20, -d + 5 = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -406, -3259, -11024, -26161, -51130?\nAnswer: -88391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 13*u**2 - 2*u + 2*u)*(-2*u - 2*u + u).\nAnswer: -39*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 10*j + 1. Let b be 1 + (-55)\/4 + (-7)\/28. Let r be q(b). Let l be (-9)\/(-4) - 10\/r. Solve l = m - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 565027 divided by 5.\nAnswer: 565027\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 968, 319, -338, -1009, -1700, -2417, -3166, -3953?\nAnswer: -4784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1 - 43*i - 52*i - 50*i + 132*i - 3. Let f(a) = -612*a - 187. Calculate -4*f(j) + 187*x(j).\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*r - 5*h + 7, -r = 2*h - 4. Let y = 2.96 + 0.04. What is the third biggest value in r, 4, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -37*j + 1. Let k(s) = -4134*s - 1 + 2081*s + 2071*s. What is 5*k(p) + 3*l(p)?\nAnswer: -21*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10850485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36078.\nAnswer: 2, 3, 7, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*r + 16. Suppose 360 = 3*d - 2*d + 5*o, -3*o = -2*d + 655. Let t be 4\/12 + d\/3. What is the highest common factor of r and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -252*q - 272*q - 182*q + 35*q to a + v*q and give v.\nAnswer: -671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001250793 rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 19*j**2 + 22*j + 6. Let a be t(-1). What is the closest to a in -5, -3\/4, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*g**2*n + 2*g**2 - 593*g*n - 46*g + 93354293*n with respect to g.\nAnswer: 10*g*n + 4*g - 593*n - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 10*p**2 - 11*p - 11. Let d be l(-9). Suppose d*s = 12*s - 10. Suppose 0 = s*u - 4*u + 100. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 487233 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 14 = b. Let a be b\/(-1 + -3) - (-825)\/20. Suppose d - 24 = a. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 6*q**2 + 7*q + 10. Let f be c(-7). Suppose -8*s + 3 = -77. What is the greatest common divisor of f and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2229\/3598 - -6\/257. Let h = -39\/28 + r. Which is the smallest value? (a) -7 (b) h (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-10)*31\/(-62) + 29228\/10?\nAnswer: 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.05 + -0.05. Let o = -4.028 + 0.028. Which is the closest to 0? (a) o (b) -1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*o + 109, -9*l + 32 = -11*l - 2*o. Let j(f) = 5*f**2 + 10. Is j(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 - 17. Let a = 45 + u. Let k = a - -51.0000021. Round k to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 29. Let w be 6\/a + 2469\/15. Calculate the highest common divisor of w and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 17.6. Let u = 0.35 + -0.05. Which is the second smallest value? (a) 2 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 946, 987, 1026, 1063, 1098?\n\"Answer: -x**2 + 44*x + 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 278 in -2\/7, 2\/5, -4435\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 - 3*c. Let z(f) = -4*f**2 + 2*f. Calculate 5*k(n) + 6*z(n).\nAnswer: n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4))**19 assuming p is positive.\nAnswer: p**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -249, 3, 1, -37, -2, 0 in increasing order.\nAnswer: -249, -37, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + d + 37. Let a(j) = 2*j**2. Calculate n(a(s)).\nAnswer: 4*s**4 + 2*s**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 3*v + 122, 3*x - 93 + 32 = -65*v + 173 - 8 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 24*b**2 + 5*b - 13. What is x(24)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) + 2*-2*sqrt(224))\/(sqrt(80)\/((sqrt(100) - (sqrt(100)*1 - sqrt(100)))\/sqrt(10))))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 - 334. Let v = -162 - i. Is 75 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 3*l**2 - 5*l + 4. Let v(m) be the second derivative of m**5\/10 - m**4\/6 - 2*m**3\/3 + 3*m**2\/2 - 14*m. Give 3*d(o) - 4*v(o).\nAnswer: -2*o**3 - o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 24.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4535\/13 + 349. Let y = 2.99 - -0.01. Let f be ((-12)\/(-32))\/(6\/4). What is the smallest value in f, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -3788839300?\nAnswer: -3788839300.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - m - 12. Let s be t(0). Let x = 19 + s. Solve 5*h - z + 0*z + 11 = 0, 2*h + x = 3*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r - 1. Let b be l(1). Let v be 1\/4 + (-1)\/b. Solve 5*p = -v*p + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.28 + -0.28. Let n = -8\/59 - 46\/531. What is the biggest value in n, -6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 times 1.054\nAnswer: 22.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -4*(-315)\/(-220)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/4 + 80519*w**3\/4 - 40261*w**2\/2 - 40260*w = 0. Calculate w.\nAnswer: -80520, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 76180952 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-258)\/180 + 168\/(-20)*1\/(-6).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -16*z + 7. Let u = 2.04 + -0.04. Let n be 1*2\/(-6)*1. Which is the closest to 0.1? (a) u (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4929, -4809, -4599, -4299, -3909?\nAnswer: -3429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 6*k**2 - 7*k + 6. Let j be g(4). Suppose -t - t = -j. Suppose -t*p + 8 = -4*x - 1, -p = -2*x + 3. Solve -m = 2 - p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 3:03 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*q. Solve q = -2*o + 5 + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/9 + 22*h**4\/9 - 22*h**3\/3 + 10*h**2\/9 + 100*h\/9 = 0 for h.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (2*sqrt(28) - sqrt(28)) + sqrt(28)).\nAnswer: -6 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 76 divided by -19\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -3*h - 0*r + 5*r, 2*r = h - 54. Suppose 16 = -10*i + h. Suppose n = -t - 2*n + 108, i*n = 5*t - 558. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 3. Let a be l(12). Solve 6*m + a = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*i - 3*s, -90*i + s = -92*i. Let f = 11974 + -46959\/4. Let z = f + -236. Is i > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = 30*f - 57 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 4*h - 5*h)*(4*h - 3*h - 2*h)*(0 - h + 0)*(2*h - 3*h + 4*h).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - t)*(5 - 17 - 28).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(72)*-5)\/sqrt(4))\/((sqrt(18) + sqrt(18) + sqrt(144)\/sqrt(72))\/sqrt(2)).\nAnswer: -90*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*n, 2*q - 11*n + 6*n = -32 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-39)\/(-24) - 2)*4. Let t = 2 - 12. Let y = -10.4 - t. Sort n, 3, y in descending order.\nAnswer: 3, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 226\/8*(-8)\/(-2). Let n = q - 60. Let h = -229 - -247. What is the remainder when n is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69910*b**5 - 73656*b**2 - b + 2.\nAnswer: -4194600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 54866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5a (base 12) to base 2\nAnswer: -1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 2*g + 5*h, 0 = 2*g + 4*h - 1065 + 1041 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 y when four letters picked without replacement from osyyysyyyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**7\/140 - x**5\/40 + x**3\/2 + 6*x**2. Let n(y) be the first derivative of f(y). Find the second derivative of n(a) wrt a.\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**2 - 10*j**2 - j**2 + 8*j**2.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2908547?\nAnswer: 17, 171091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + u + 1. Let s be 0 + 1 - (2 + -3). Let t be w(s). Let r(j) = -j. Let z(m) = -m**3 - m**2 - 4*m. Let l(a) = t*z(a) + 4*r(a). Factor l(p).\nAnswer: p**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -332*t + 6*t**3 - 8*t**3 + 331*t - 53*t**2 to v*t + k*t**2 + x*t**3 + n and give k.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 3:56 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 243672611 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 2, -5, -14, -25?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/4 - 33*g**2\/4 + 30*g - 29.\nAnswer: (g - 29)*(g - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23923.\nAnswer: 47, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -16*d - 5. Suppose 12 + 13 = 5*b. Let m(r) = -17*r - 6. Let i(p) = b*m(p) - 6*s(p). Let k(g) = -2*g**2. Determine i(k(y)).\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than 11926\/3415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.203 * -1004989.\nAnswer: 204012.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10328 or 10338?\nAnswer: 10328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1177506 = -2*x, 6*x + 2*k = 3*x + 1766297. Suppose x = -2*p + 2788763. What is p rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -202?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 22. Let m = r + -5. Let s be 2*m + 3\/(-1). Solve -c = s - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3646 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2093 divide 39955370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 7*f**2 - 6*f + 8. Let b be l(-6). Suppose -140 = 4*t - b*t. 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*r - 5 = -5*t, 26 = r - 0*t - 4*t. Suppose 3*i - i - r = 0. Let -f**2 - f**2 + 2*f**i - 6*f**4 - 10*f**3 = 0. Calculate f.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7255.\nAnswer: 5, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crffimrcfmnmfmcrnrmm. What is prob of sequence nnrc?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 22 = 27 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**3 - r**3 + 14*r - 12*r)*(-136 + 69 - r + 79) in the form f*r**4 + y*r**2 + h*r**3 + t*r + q and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 32. Calculate the remainder when k(0) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -16. What is the remainder when 52 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2. Let r(v) = -7*v**2 - 6. Let i(u) = 6*l(u) + 2*r(u). Let a(j) = 2*j. Calculate a(i(o)).\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 13. Let z be (3\/(-3)*s)\/(-4). Suppose -7 = -g - z. Calculate the highest common factor of 56 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpfawop. Give prob of picking 1 a, 1 w, and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*z**5 - 26435*z**4 - 4*z**2 + 715359*z?\nAnswer: -120*z**3 - 317220*z**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Suppose 210 = 2*l - 2*j, -3*l + 5*l - c*j = 204. Calculate the remainder when l is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 48. Suppose 0*c - 2108 = -k*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 20 = 0, 5*p + 28 = -s + 27 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (360\/(-351))\/(-5)*3\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/(-18))\/((-1590809)\/(-530277) - 3)?\nAnswer: 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((48\/(-160))\/(4\/384))\/((-9)\/450*-15)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y - 13. Let u(z) = -2*z + 4. Determine -2*o(t) - 7*u(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1439 is divided by 62?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agezgkgkkgkgaggkf. What is prob of picking 1 e, 1 f, and 1 g?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 11:31 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 = p + 7, 7 = 3*p - 2*f. Let y(g) = -g**2 - 2*g - 3. Suppose 0 = -3*j - 4*j + 21. Let d(h) = -1. What is j*d(i) + p*y(i)?\nAnswer: i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12*j**2 + 4*j - 4. Let g(i) = 12*i**2 + 5*i - 5. Calculate 4*g(f) - 5*q(f).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = -5. Solve 0 = -6*t + d*t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -11*b - 4. Let r(h) = -12*h - 4. Let l(c) = -4*g(c) + 5*r(c). What is the tens digit of l(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(240))\/(sqrt(24)\/(sqrt(6)\/sqrt(3))).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let y(h) = -345427*h**2. Give y(o(z)).\nAnswer: -345427*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (5 - -4) + -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**3 + 139*u**2 + 76*u + 580. Calculate f(-69).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - p**2 - p - 29. Let u = -365 + 365. Give v(u).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -68249.\nAnswer: -68250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3411, -3395, -3355, -3279, -3155, -2971, -2715?\nAnswer: -2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w + 18. What is k(12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 906397894.\nAnswer: 2, 89, 607, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -83109 and -26.\nAnswer: 2160834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/405*2*18)\/((-76)\/10)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 17*o + 54. Let i be r(-12). Let p be (i\/14)\/(26\/91). Let x = 851\/1953 - 2\/279. Which is the third smallest value? (a) 0 (b) p (c) -5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 201*s**2 - 101*s**2 - 41 - 103*s**2 to l + p*s**2 + a*s and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3510031876 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2637 divide 42248035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2060 - 5922. Which is bigger: l or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7228 = -0*x + 2*x, x - 3603 = 5*z. Suppose x = 4*l - 1091. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*4\/(-54) - (-2)\/9. Suppose -3*n + j - 149 = b, 19 = 4*j - 1. Let p = 53 + n. Solve -4*i - 21 = p*l, i + 2*l + 8 = -2*l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -11. Does 9 divide (-2)\/s - 232\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 31 = -51. Let w(n) = -7*n + 33. Let o be w(r). Which is the closest to o? (a) 1 (b) 2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143158 divided by -1143158?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r + 15*r + 7*r.\nAnswer: 40*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -86 times -1\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*d**3 + 138*d**2 - 34*d**2 + d**4 - 34*d**2 - 2*d - 34*d**2 - 35*d**2 as u*d**4 + t*d + v*d**3 + y*d**2 + q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 344 + -343.92. Is m smaller than -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 5, -3\/148, -1.7, -2\/13?\nAnswer: -3\/148","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.346 - -0.214. Let p = 0.26 - q. Let r = p - -0.3. Which is the fourth smallest value? (a) 5\/2 (b) -0.1 (c) r (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqtdbgjqdtbg. Give prob of picking 2 b and 2 d.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/5*5\/((-30)\/(-4)). Solve -o = -5*n - 22 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6396 and -6396 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 3*w**2\/2 - 3*w + 1. Let c(b) = 12*b + 7. Let q(s) = 2*s. Let g(r) = -c(r) + 9*q(r). Determine 2*g(p) - 5*x(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 256 = -5*o. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 - 124 = -5*f. Let v(z) = 3*z**2 + 1. Let x be v(1). Solve -3*p + 0*p - 4*i = 13, -2*i = f*p + x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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 i = -111 - -111.2. What is the nearest to 0.1 in i, 0.3, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-1))\/(-54 + 56). Let n(k) be the second derivative of 0 - 6*k - 1\/24*k**4 + t*k**3 + 1\/4*k**2. Factor n(u).\nAnswer: -(u - 1)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1364524541 to the nearest integer?\nAnswer: 36939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -272 + 2*m**3 - 107*m + 102 + 93 + 108*m - 308 + 3*m**2 to the form x*m + l + n*m**3 + r*m**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -334438 or -334296?\nAnswer: -334438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2893 divided by -11\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-172)\/5980*-5 - (-36)\/414)\/(12\/(-8)). Let m = 2 - 1. Which is the closest to 0.1? (a) q (b) 4 (c) m (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 907?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -305, -310, -315, -320, -325, -330?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -254553 divided by 3?\nAnswer: -84851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, i: 3, q: 2, r: 1, a: 1}. Give prob of sequence rqqi.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 201 + -143. Suppose -98 + j = -4*i. Suppose 4*p - i*p = -48. Solve -q - p = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*c = 139*c + 4*a + 16, 11 = -2*c - 3*a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7959 divided by -508\nAnswer: 7959\/508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 4:43 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 8*f**2 - 2*f - 3. Let p be x(-3). Suppose 0 = -2*d + 5*d - p. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 - 3*i + 6. Let m(c) = 20*c**2 - 15*c + 47. Let s(g) = 7*g**2 - 5*g + 15. Let j(d) = -2*m(d) + 7*s(d). Give -6*j(z) + 11*o(z).\nAnswer: z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f = -20*f - 5*a - 15, 5*a = -15. Let w(k) be the first derivative of -25\/3*k**3 - 25\/2*k**2 + 47 + f*k. What is the second derivative of w(v) wrt v?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135485 and 4345?\nAnswer: 1490335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -10. Let s = p + 15. Let i(h) = -h**3 - 8*h**2 - 4*h - 5. Let k(v) = v**3 + 9*v**2 + 4*v + 6. Let n(b) = s*k(b) - 5*i(b). Give n(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + ((-2*sqrt(44))\/sqrt(11))\/sqrt(2))**2*1.\nAnswer: -12*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 8*a**2 + 2*a - 10. What is c(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34299527 is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3*n + 1.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j = 3*b - 6, -2*j + 6 = 4*b. Let o = b - 8. Does 2 divide o + 5 - 8\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -15 + -36 + 13\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/121)*p**24)\/(p**(-17)\/(p\/(p\/p**(-23)))) assuming p is positive.\nAnswer: p**(2180\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 177066248 to the power of 1\/2, to the nearest integer?\nAnswer: 13307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -233496 divided by 7?\nAnswer: -233496\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l - 15. Suppose -s = 4*j + 25, 5 = -l*j + 5*s - 3*s. Put -3\/5, -1, -4, j in descending order.\nAnswer: -3\/5, -1, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = 2*t - 47. Which is smaller: -90 or t?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 69 + 3?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7013257 and 0.27.\nAnswer: -7013256.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -40504*z + 8. Let w be l(2). Round w to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r = -3*h - 5, 5*h - 45 = 2*r. Let x = 7 + r. Let g be (-180)\/(-16) - x\/4. Solve -3*c = c + g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 322569\/79 and 4082 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 28*y**3 + 109*y**2 - 5*y - 22. Give s(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**7\/1365 - x**6\/780 + 7*x**5\/390 + x**4\/12 + 2*x**3\/13 + 13*x**2 + 17*x. Let d(o) = 0. What is o?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*o + 6, -o + 9 = -5*s + 2. Let b be 400\/(-60)*(-1 + (-58)\/(-4)). Let a = o - b. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 59445 = -3*v, 4*v + 76*a - 74*a = 79288. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1128 and 2324385?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3869.2 - -3869. Sort 13, 47, -5, 2, y in decreasing order.\nAnswer: 47, 13, 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22550836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80449 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 - -137. What is the smallest common multiple of 10 and o?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 45*a**2 - 53\/24*a**4 + 0*a + 1\/60*a**5 + 1 + 12*a**3. What is the first derivative of g(s) wrt s?\nAnswer: 2*s - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7208 divided by -34\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18721, -74885, -168493, -299545?\nAnswer: -468041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s - 48. Let a(y) = -1. Let c(r) = -6*a(r) - w(r). What is the units digit of c(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -1922 + 92. Let o = 215 - t. Suppose p + 5*v - 43 = 0, 3*v - 146 = -3*p + 5*v. Calculate the highest common factor of p and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 14 = -21. Let a(n) be the first derivative of -n**3\/3 - 4*n**2 + 28078. Determine a(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*l + 1779. Suppose 20833 = 46*f + l. What is the remainder when f is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1549078 is divided by 49970?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - j - 11 - 16, 3*j + 6 = 0. Suppose 0 = -t*w + x - 2 + 15, 5*x = -w + 13. Let o(h) = 6*h + 7*h**2 + 5 - 7*h**3 + 8*h**w - 8. Determine o(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/((sqrt(120) - (sqrt(120) - 2*sqrt(120)))\/sqrt(12))*-5)\/(sqrt(1100) - -6*2*sqrt(1100) - sqrt(1100)*1*-1).\nAnswer: -sqrt(3)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -28*w + 80. Give d(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 19*g - 1218. Let h(m) = 2*m + 14. Calculate h(c(p)).\nAnswer: -4*p**2 - 38*p - 2422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 855248*l - 58147616.\nAnswer: -2*(l + 68)*(l + 427556)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-5 + 3 - -4) - -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -710*v**2. Let t(h) = -2185*h. What is t(o(p))?\nAnswer: 1551350*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 81233, 81230, 81227, 81224, 81221?\n\"Answer: -3*w + 81236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**4\/12 - h**3 + 5*h**2\/2 - 2*h. Let q = 160 - 162. Let p be (-3)\/(-27)*q + 301\/(-63). Determine g(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*o + 39*o = 146*o + 5439 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3) + 76\/12. Suppose d*i - 30 = 2*i. Let c be -4*(i\/(-2))\/3. Solve 0 = 3*a - 8 - c, 5*v + 11 = 4*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ddc + -3?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-2 - (-5 + 3))) + 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9*p - 15*p**2 + 9 + 2*p**3 - 2*p - 2 - 3. Calculate the lowest common multiple of f(7) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 2*p**2 - 3*p + 5. Let v(d) be the first derivative of d**4\/4 - d**3\/3 - d**2\/2 + d - 1. Suppose -32 - 10 = -14*n. Give n*v(s) - j(s).\nAnswer: 2*s**3 - s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 5:45 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2. Let m be -5*(-7)\/(140\/(-32)). Let v = -5 - m. Let b(t) = -6*t - t + v*t. Determine u(b(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/((-1650)\/(-4059))*1\/6*2.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 + 1. Let m = -49 - -50. Let r be n(m). Let x(z) = z + 1. Calculate x(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**3\/3 + j**2\/2 + j + 6. Let k(v) = -v**2 - v - 2. Calculate -k(q) - 2*r(q).\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 39655 (base 12) to base 13\nAnswer: 29a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -37, 0.07, 0, -0.2.\nAnswer: -37, -5, -0.2, 0, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/7 + 2\/7. Let n = 0.71 - 0.31. What is the closest to -5.3 in 0, n, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3, 50\/39?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 57, 21, -55, -183, -375, -643?\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -188*h**2*k**6 + 4438*h**2*k**2 + 2*h*k**6 - 4*h wrt k?\nAnswer: -22560*h**2*k**3 + 240*h*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-243)\/(-162))*63\/12?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -42. What is the highest common factor of 88 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(6\/3 - 3). Let b be 0 + k + 7 + 1. Let f = b - -2. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**2 - 13*v - 6. Let n(o) = o**2 - 1. Let m(w) = 3*n(w) + q(w). Let c be m(-9). What is the highest common factor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q - 7. Let z = -13 - -18. Let h = 20 - 11. What is the least common multiple of u(z) and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 154919, 619672, 1394269, 2478716, 3873019, 5577184, 7591217?\n\"Answer: y**3 + 154916*y**2 - 2*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, l: 8}. Give prob of picking 1 u and 1 l.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*w*x**2 - 282*w*x - x**2 - 4*x + 619 with respect to w.\nAnswer: -7*x**2 - 282*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93.6867 - 0.1133. Let h = b - -72. Let n = -22.67 - h. Round n to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3223*n**2 + 3107*n**2 + 8 + 2*n - n to b*n + u + t*n**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 94291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15\/7, -6, 198, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -11698535.\nAnswer: -11698540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429*x**2 - 853*x**2 + 427*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1383918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from -9.6.\nAnswer: -9.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b**(1\/3)*b*b\/(b*b\/(b*b**(-2))) assuming b is positive.\nAnswer: b**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 - 188*o**3 + 1826*o**2 - 2884*o.\nAnswer: -2*o*(o - 7)*(o - 2)*(o + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, 1\/24, 1.4 in increasing order.\nAnswer: -0.3, 0, 1\/24, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 96*n + 197. What is s(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b0d + -3?\nAnswer: 5b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 6066008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -9049, -0.4, 4, 5, -2\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 12:45 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**6 + 362*f**3 - 1293*f**2 wrt f?\nAnswer: 240*f**3 + 2172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 - 59. Calculate the remainder when q is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(495) + sqrt(495)*2)\/sqrt(9) + 1*(-1*sqrt(55) + sqrt(55) - sqrt(55))))\/(sqrt(5) + sqrt(320) + sqrt(320)*-1 + -4*sqrt(320)).\nAnswer: -2*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 15)*(5*m - m - 2*m).\nAnswer: 34*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f + 54. Let t(h) = -5*h + 54. Calculate -6*p(l) + 7*t(l).\nAnswer: l + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 1 - 0. Suppose -t + 4 + v = 0. Solve 0 = 2*d + 2*r + t - 17, 4*d - r = 19 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 50 = -104. What is the least common multiple of 24 and n?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 - 24*a**2 - 2 + a - 2*a**2 - 2*a**2 - 2*a**2 in the form n + r*a + o*a**3 + f*a**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89245759 is divided by 1160?\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6954383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 1, u: 1}. Give prob of sequence uv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69656020*m**2 + 16371216*m?\nAnswer: 139312040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a*a**(1\/11)\/a*a)\/a)*a)\/(a**(-2\/15)\/a))**(-45)\/((a**(-2)*a)**(-35)\/(a*a**(2\/3)*a**0)) assuming a is positive.\nAnswer: a**(-4133\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112726 - 112726. Find x, given that 8\/5*x**2 - 6\/5*x + p - 2\/5*x**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/7339 + 14667\/80729. Let f(k) = 3*k + 22. Let o be f(-9). Let p = 1.3 + -0.3. Put h, p, o in ascending order.\nAnswer: o, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, f: 7, p: 3}. What is prob of sequence pt?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 6\/5 (b) 2\/3 (c) 1443\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4753375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4788 or -354271\/74?\nAnswer: -4788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 4*a - 2. Let z be y(5). Let i(b) be the first derivative of 0*b**2 + 1\/6*b**4 + 4\/9*b**z + 0*b - 2. Factor i(m).\nAnswer: 2*m**2*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + 33*g - 22*g - 197.\nAnswer: 3*g - 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29894.\nAnswer: 2, 14947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 247749000 to the nearest 1000000.\nAnswer: 248000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9555 a factor of 827466295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 66 + 61 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 1146.\nAnswer: -3\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001448 to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -97 + y + 69 - 26 - 33 in the form r*y + h and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 54*m**2 - m + 1. Let j be a(1). Let q be (-1)\/(-1) - j\/(-9). Suppose 3*x = q*x - 212. Calculate the remainder when x is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3120 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1700\/59 + -190201\/6726. Calculate the common denominator of 13\/57 and x.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*s**3 + 305*s**3 - 141*s**3 + 217*s**3.\nAnswer: 700*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and 1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 92 - 37)*(z - 3*z + z)*(-1 + 1 - 2).\nAnswer: 32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2. Let v(b) = 45*b - 2416 - 16*b + 2414. Determine l(v(o)).\nAnswer: -2523*o**2 + 348*o - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -5. Let s be (0 + c)*1\/2. What is t in t + 3 + t**s - 2 - 1 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608930.\nAnswer: 2, 5, 7, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2. Suppose 2*m + z - 714 = 0, 5*m - 280 = 4*z + 1518. Let i(p) = 98*p - 358 + m. Calculate q(i(o)).\nAnswer: 38416*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2. Let o(l) = 11538 - 11538 - 36*l. Give o(n(u)).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05646 - -0.056452089. What is k rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/81 and 8\/16784115.\nAnswer: 453171105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 982 - -1?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 23*z**2 + 37*z + 251. What is c(-22)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -7 + 3. Suppose -5*k - 4*v = -21, -k + m*v - 7 = -0*k. Suppose i + k = 136. Is i a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 24 = -5*q. Suppose q*p = -2*p + 180. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 23374*w**3 - 33*w**2 + 31*w + 1. What are the prime factors of r(1)?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + -13. Suppose -v - 4*v = -r. Let o(c) = c - 2. Calculate the least common multiple of o(5) and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -576, -4.\nAnswer: -576, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19219, 146322, 489219, 1155808, 2253987, 3891654, 6176707, 9217044?\nAnswer: 13120563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.965 - 0.377. Round k to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, y: 6, k: 8}. Give prob of sequence kkyy.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-2*j + 3*j - 3*j) + 0 + 0 - j + (1 + 2 - 1)*(2*j - 2*j + 2*j) + 2*j - j + j + 0*j + j - 3*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**13*k*k*k*k\/(k*k**(-2\/37))*k)\/((k*k\/(k*k**47)*k)\/((k\/(k*k\/(k*k\/((k*k**(-27)\/k)\/k*k))))\/k)))**(-20) assuming k is positive.\nAnswer: k**(-65900\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - -0.03. What is the third smallest value in 1\/3, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 + t**3 + 27*t**2 - 27*t**2 + (t**2 + t - t)*(-t**2 + 6*t**2 - 3*t**2).\nAnswer: 3*t**4 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*q + q - 12 - 12*q to the form u*q + n and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 633498999*1.\nAnswer: 633498999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 3*i + 0*i)*(0*i + 3*i - 6*i)*(-19 - 2 - 6)*(-2*i + 5*i - 4*i)*(-1 + 0 + 0).\nAnswer: 162*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37558*q + 37732*q + 12876 for q.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 10 = -2*j, 8*i - 4 = -3*j - 44 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-1.7137\nAnswer: 0.51411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 0. Let l = 536 - 532. Let k = 0.9 - 1. Which is the nearest to s? (a) k (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 12:58 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/3*-2*2\/(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(99)*-2 - sqrt(99)) + (sqrt(99) - (sqrt(99)*2*-1 + sqrt(99))))\/(5*(sqrt(1089)*1*-1 - sqrt(1089) - sqrt(1089))))**2.\nAnswer: 1\/2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -563 + 563.2. What is the second biggest value in s, 1.45, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {m: 1, i: 1, q: 2, w: 1, h: 1, b: 8}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.6 + 3.4. Let n = 0.11 + -5.31. Let i = n - x. Which is the second biggest value? (a) -0.3 (b) 1\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 6*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4646545 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t**2 + 13*t - 4. Let k be f(-6). Suppose 2*u - 5*r - k = 0, -5*u + 316 + 227 = 3*r. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/674 - -661889\/4718. Let x be (-12 + -2)*(-8 - 2). Let m = r - x. Sort -4, m, -1 in descending order.\nAnswer: m, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1041, 2096, 3197, 4374, 5657?\nAnswer: 7076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 4 (c) 0.4057 (d) -4 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**2\/3 + 125195*o + 375580\/3 = 0. Calculate o.\nAnswer: -75116, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 21*q + 1. Let r(c) = -8*c**2 - 3114*c - 1116024. Let b(l) = 6*j(l) + r(l). Determine i so that b(i) = 0.\nAnswer: -747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3479041261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 5*i**2 + 6*i + 5. Let g be z(-6). Suppose 0*v + 25 = g*v. Let f = 1274 + -1277. Sort f, v, -5 in descending order.\nAnswer: v, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-332)\/(-332)*(-1)\/9\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - cdc7?\nAnswer: -cdc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*d - 77 = -77*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j - 9 = 0. Let f = j - 0. Let v = -1 + f. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 22. Suppose -4*x + 3*q - 6*q = 12, x + 12 = -3*q. Let l be f(x). Suppose l + 33 = 5*p. What is the remainder when 43 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, a: 3, y: 5, g: 6}. What is prob of picking 2 a, 1 g, and 1 y?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -171.98 + 171.78. Put v, -402, 7, 0.4 in ascending order.\nAnswer: -402, v, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008799412 to five decimal places.\nAnswer: 0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3\/13 + 6*k**2\/13 + 212*k\/13 - 1056\/13 = 0.\nAnswer: -11, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -0.637482?\nAnswer: 4.462374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/19)\/o*o*o\/(o**(1\/32)\/o))\/(o**(-15)\/(o\/o**(2\/7))) assuming o is positive.\nAnswer: o**(75707\/4256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23\/6 + 4. What is the smallest value in -0.3, -1\/4, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2208 and 118133520?\nAnswer: 236267040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 3816100*r + 267107400.\nAnswer: 4*(r + 70)*(r + 953955)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/45 and 56\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**6\/60 - a**5\/30 - a**4\/12 + a**3\/3 + 2*a**2. Factor p(r).\nAnswer: 2*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37064 (base 8) in base 14?\nAnswer: 5b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5759 - -37619. Round p to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1010 + -332. What are the prime factors of q?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (2 - (9 + -8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4 = 19. Let h = s - -2. Suppose 4*u + h*t = 6*t + 203, -u + 54 = 3*t. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-18)\/(-63)*-14\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 - 44. Let h = z + -5. Suppose 3*m - 8*m = -325. Calculate the greatest common factor of m and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118 - 114. Suppose 2436 = 8*r + v*r. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25221, 50468, 75715, 100962?\n\"Answer: 25247*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w - 364. Let x(j) = -5*j - 182. What is 3*a(z) - 5*x(z)?\nAnswer: z - 182","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8634.\nAnswer: 2, 3, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.9 - 4.8. Let v = q - 1.58. Let r = -0.5 + v. Round r to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 16, 0 = 3*m + w - 3*w - 82. Suppose -u + m = u. Suppose 0 = t - 42 + u. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 2*n + 0*n + (0 - 6 + 2)*(-5 + 5 - 4*n).\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100851666 to the nearest integer?\nAnswer: 10042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 + 164.\nAnswer: 163.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 72, 245, 716, 1635, 3152, 5417, 8580?\n\"Answer: 25*h**3 - h**2 + h + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1412332 and 34364.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2135)\/(-915)*(-4)\/14*(-576)\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61)\/(-9) - 2\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + (0 - 1) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 452 = 6*r. Suppose -5*j - 66 = -43*h + 40*h, -5*j = -2*h + r. Let v(m) = -m + 14. Calculate v(j).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578 is divided by 65.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*b**3 + 86 + 365 - 47*b**3 - 84*b**3.\nAnswer: 10*b**3 + 451","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 8*s + 10. Calculate the remainder when 167 is divided by u(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.19899 + 0.2095. What is z rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53392*x - 53343*x - 1323 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 69822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28690, -57351, -85968, -114523, -142998?\nAnswer: -171375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 6*l - 2. Suppose -1 = 3*s + 5. Let a be 4\/(-4) - 8\/s. Suppose 0 = a*t + 5 + 7. Give f(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -2698.\nAnswer: -1\/2698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -8. Let q(h) = -h**3 + 7*h**2 + 8. Let l be q(y). Let j = l - -8. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6\/133 - 8367\/266. What is the common denominator of v and (48\/(-8) + 4)*(-129)\/108?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o**3 + o**2 - o - 1. Suppose 4*g - b + 0 + 2 = 0, 4*b = 4*g - 4. Let l be i(g). Is l <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159 - 5*t - 7*t**2 - 159)*(6*t**2 - 13*t + 13*t).\nAnswer: -42*t**4 - 30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 20. Solve y*z = 3*p - 2*p - 13, 4*p = -5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -14*q - 4. Solve -i = q*i + s + 13, 5*i + 3*s + 27 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426*z**3 + 20 - 66 + 43 + 3.\nAnswer: -426*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 16, 0, -0.033, -6.04 in descending order.\nAnswer: 16, 1, 0, -0.033, -2, -6.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 11*q + 3. Let d be c(8). Let w = 40 + d. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*h - 212, 2*h = 5*w - h - 191. Let n be 15\/(-6)*(-1 + -1). Suppose 4*j + 5*t + 14 = 59, n*t - w = -3*j. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o + 8. Let m(z) = z**2 - 3*z - 7. Let c be m(-5). Let k = 26 - c. Let a be h(k). Calculate the greatest common factor of 288 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10185.\nAnswer: 3, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -7*b - 159. Let t = 76 + b. Calculate the remainder when 229 is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)\/c)**(2\/17)\/(c\/c**(-4\/9)*c*c**(-1)))\/(((c**(1\/3)\/c*c)\/c)**(22\/3))**33 assuming c is positive.\nAnswer: c**(24427\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 1053 + 5263 = 5*c, 3*c = -5*i + 2516. Let s = c - 412. Let g = -165 + s. Round g to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 22*p**2 + 23*p - 44. Let g be q(21). Let t(y) = -y**3 + y + 2. Let l(j) = 6*j**3 - 5*j - 11. Give g*l(f) - 11*t(f).\nAnswer: -f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -294 divided by 4\nAnswer: -147\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 15. What is the closest to z in 2\/7, 0.4, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 11*g**2 - 17*g - 14. Let t be w(9). Is (((-2682)\/(-5))\/3)\/((-2)\/t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*p**3 - 145*p**3 + 55*p**3.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -10*r - 10. Let x = -1 - 107. Let m be (-38)\/(-4) + 270\/x. Let y(o) = -7*o - 7. Give m*y(i) - 5*u(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 11:36 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 399633, 399631, 399629, 399627, 399625?\n\"Answer: -2*i + 399635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*b = 16*b + 4*b + 1350 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*r**4 - r**3 + 42*r - 10896 wrt r?\nAnswer: -24*r**3 - 3*r**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-52) - (-432)\/78 - -4*1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 6*v + 2*v**2 - 378*v - 47 + 44.\nAnswer: v**2 - 384*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*v - 17 = 0, 2*v - 2 = -5*q - 2*v. Let x be 1 - 1\/q*120\/(-51). Let t be 2\/3*9\/6. Which is smaller: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 3*l + 2. Let x(g) be the first derivative of g**2\/2 + 981. Calculate i(q) + 5*x(q).\nAnswer: q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*u - 1048*u + 61454 = -258*u + 198482 for u.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 divided by 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15884787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4*h + 6804, 2*h = 2*l - 3*h - 4559. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8)\/(((-3)\/3)\/((-103)\/(-4841)))\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**3\/6 + 3*w**2\/2 - 6*w. What is the smallest common multiple of 10 and q(5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6072)\/(-32) - (-2)\/8. What is the greatest common factor of 76 and q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000012 (base 5) in base 12?\nAnswer: 9068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2 - 1 + u + 3. Suppose p + 27 = 4*p + 4*f, -5*p + 3*f = -16. Let t(v) = p*v - v - 2*v. Give n(t(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iiifiifiif?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -14*y. Suppose 0*w - 5*w + 4*x + 1736 = y, 4*w - 1394 = -2*x. Does 29 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 861\nAnswer: -3444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1611 + -832. Let n = v - 749. Calculate the greatest common divisor of n and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170673100 divided by -260\nAnswer: -656435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118170 and 30?\nAnswer: 118170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13967136679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (7 - 3) + 5 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 881*q - 2571 + 2571 to s*q + z and give s.\nAnswer: 881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1494 - 31366\/21. Let c = 27817\/4740 - 3\/1580. Calculate the common denominator of u and c.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0.3. Let l = 0.03 + 1.97. Suppose -4*o + 3*o - 7 = 2*w, 0 = 2*w + 2*o + 12. Which is the closest to 1\/3? (a) z (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(30)\/sqrt(3) + sqrt(10))\/sqrt(2).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/70 + l**3\/21 + l - 17. Factor n(o).\nAnswer: -2*o*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -0.5, -3732, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -192*y - 40 - 42 + 135 - 215*y - 43 in the form o*y + m and give o.\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2600045505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1562.2 + 1759. Let d = -197 + q. Let a = -7 - 16. What is the nearest to 1 in a, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001100101 - -1?\nAnswer: 100001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**2 + 545*g**3 - 2505 - 1436*g**3 + 814 wrt g?\nAnswer: -5346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-19 + -2)*(-17 - -12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5 + 30*i**4 - 393*i**3 + 684*i**2 - 324*i = 0. What is i?\nAnswer: -18, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 50*j + 49*j - 97*j - p, 3*j + 9 = -3*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -480514 less than 127878.58?\nAnswer: 608392.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120324411 + 0?\nAnswer: 120324411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (5 - (0 + 8)) + (6 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 18*p - 4. Suppose 30*l = 26*l - 44. Let s(x) = 49*x - 12. Let z(b) = l*i(b) + 4*s(b). Give z(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/2 (b) 4\/9 (c) 0.57 (d) -4 (e) -2 (f) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6 - (-7)\/2. Suppose a*j + 1 = 10. Suppose -j*b - 1264 = y - 4002, 0 = b - 4*y - 930. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*j - 18. Let a = 9 + j. Let o(g) = g**2 - 8*g + 12. What is the remainder when a is divided by o(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3716738314 a multiple of 1957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -11*j + 90, 8*j - 20*j + 18 = -14*j + 4*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, t: 2, p: 1, j: 1}. Give prob of picking 1 p and 1 t.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17260 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 0 + -1 + sqrt(200) + 1 - -5*(-4 + sqrt(200) + -1 - (sqrt(200) + -1)*1))*-1)**2.\nAnswer: -440*sqrt(2) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, n: 2, q: 6, t: 1, u: 2}. What is prob of sequence uxt?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 - 191*a**2 - 88*a - 708. Let v be u(96). Solve -v = -7*i - 53 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 19*i**3 - 6*i**2 + 2*i - 2. Let t(o) = -o**2 - o + 1. Let c(z) = g(z) + 2*t(z). Find the third derivative of c(s) wrt s.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - b + 0*b + (-2 - 2 + 5)*(-1 + 1 - b) - 3*b - 3*b + 4*b + (6 + 3 - 3)*(-2*b + 1 - 1)*(-1 - 1 + 4).\nAnswer: -25*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 222012211211101?\nAnswer: 222012211211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**3 + 7*d**2 + 7*d + 3. Let b(k) = -3*k**3 + 5*k**2 + 5*k + 2. Let h = 4904 - 4897. Determine h*b(l) - 5*r(l).\nAnswer: 4*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z - 80 - 72 - 71 + 220 - 219*z**2 to the form w*z**2 + a*z + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1292, 1278, 1260, 1238, 1212?\nAnswer: 1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -86, -231, -506, -953, -1614, -2531?\nAnswer: -3746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 91 = 5*u - 35, 3 = p. Suppose -3*k + 6*k = 5*l - u, -4 = k. Solve -l*a = -6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1478, -4216, -6954, -9692, -12430?\n\"Answer: -2738*g + 1260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*r + 101 = 0, 57 = z - 0*z + 4*r. List the prime factors of z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 4*t - 4. Let f be b(-5). Let o be (2\/(-34))\/(f\/2). Let m = -164 + 3118\/19. Put o, -2, m in increasing order.\nAnswer: -2, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**3 - 5*v**2 - 5*v + 5 = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n = 2. Let a(t) = t**3 + t**2 - t - 1. Let m be a(n). Suppose 2*i - f - 21 = m, -3*f + 17 = 4*i - 30. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178449939 a multiple of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/(-75))\/(1\/2). Which is the third smallest value? (a) q (b) 0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*a + 5 - 0, 2*j - 10 = -2*a. What is the derivative of -3*m + a*m + 3*m - 2 wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 5 + 6)*(-4 + 4 - 1)*(y + 8 - 8 + (-2 - 1 + 1)*(3*y - 3*y - y) - y + 3*y + 0*y) to the form s + j*y and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/10 - 271*n\/10 - 136\/5.\nAnswer: (n - 272)*(n + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1109948.7 - 141497.7. Let n = -968465.00017 + i. Let c = -14 - n. Round c to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*s + 33*s - 649 = 4*s for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -28. Suppose u - x = m, -m - u = -1 - 4. Differentiate -4 + 9 + 11*w**m - 9 wrt w.\nAnswer: 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*w**2 - 59 - 61 + 118.\nAnswer: 49*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -86, -168, -262, -362, -462, -556, -638?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 7:40 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 32757*p**2 + p**4 - 32759*p**2 + 50*p**3 + p - 3*p as m*p**2 + c*p**4 + t*p**3 + l*p + i and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 2*f + 1. Suppose -a - 4*n = -6*a - 23, 4*n - 2 = -2*a. Let o be a - -4 - 1*2. Let j be h(o). Solve j = x + 6 - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8 and 335.6.\nAnswer: 343.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5156966934.\nAnswer: 2, 3, 7, 29, 283, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3003464\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1.2. Let w = -282.9 + 287.9. What is the third biggest value in w, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + j + 113 = 0, -a + 122 = 3*a + 2*j. Let x = -22 + a. Suppose x*q - 11 - 17 = 0. Calculate the remainder when 11 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**4\/12 + 4*m**3\/3 + 2*m**2 + 42*m. Let o be q(8). Which is the nearest to 1? (a) 0.5 (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1344 - -1354) + 1*3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 110.64 and -2470.\nAnswer: -2359.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 9:22 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3*((-5599)\/(-330) + -17))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1115 rounded to 3 dps?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1717938.\nAnswer: 2, 3, 95441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 0 - (-45 - (-65 - -22))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -1)\/(-1)*-51. What is the tens digit of ((-2924)\/d)\/(2 + 8\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2560 = 4*j - 2*f, -3*f = 23*j - 24*j + 635. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17747505 divided by 3?\nAnswer: 5915835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0068816878 rounded to six decimal places?\nAnswer: 0.006882","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -122158798536238\nAnswer: 122158798536237.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 2. Let q be j(3). Let v(n) = n**2 - 2*n**2 - 6*n - n**2 - 2*n**2 + n**3 - q. Suppose 20 = 5*t - t. Give v(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = -1633 - 3242. Let l = o + 388. Let g = 35 + -12. What is the remainder when g is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - 58*j - 307. List the prime factors of w(-21).\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.4 (b) 2\/3 (c) 0.1 (d) -15\/2 (e) 5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -24*u - 12. Let q be (114\/(-190) - (-8)\/5)*1. Let d(l) = -l - 1. Give q*i(f) - 10*d(f).\nAnswer: -14*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + w - 1. Let m(t) = -4*t**2 - 10*t + 15. Let h(v) = 5*l(v) + m(v). Is h(4) 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\/5? (a) 0.6 (b) 0.01 (c) -5\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -5.591.\nAnswer: 78.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0 (c) -8\/5 (d) -12\/13 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 17*o = 600. Suppose 77 = w + o. What is the third biggest value in -0.1, w, 26?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(-24) - 4\/(12\/(-9))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177 + -8.31.\nAnswer: 168.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -44.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -39b (base 13) in base 16?\nAnswer: -27b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 5 (c) 0.05 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 7 = -5*t + 22, 4*t - c - 15 = 0. Suppose 27 + 17 = t*w. Suppose 0 = -w*y + 10*y + 15. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and 31.544.\nAnswer: 0.94632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 66346847 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11 + 11 + 12*z**4 - 15 wrt z?\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.04708 (c) -1 (d) 0.3 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/102 (b) -192126 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, x: 11}. Give prob of sequence xxr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 227 = 4*h - 3153. Solve 75 - h = 11*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847 is divided by 57.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**2 + 2*s - 3. Let w(k) = 7*k**2 - 3*k + 5. Let c(r) = -11*p(r) - 6*w(r). Let z be c(2). List the prime factors of -3 - 68\/(z - 7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9727*l**2 - 18*l. Let p(v) = -243183*v**2 - 459*v. Let j(m) = -153*f(m) + 6*p(m). Let q(n) = n. Give q(j(r)).\nAnswer: 29133*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(70) - 1*sqrt(70))\/sqrt(10))**2*3 - (sqrt(175) + 2 + ((-2*sqrt(175) - sqrt(175)) + sqrt(175))**2).\nAnswer: -702 - 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69642 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: Suppose -2*d - 3*c = -9, -2*d + 6*c - c + 49 = 0. Let h be (-12599996)\/(-6) - (-8)\/d. Round h to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9451035*z**6 - 183765*z**2 + 9*z.\nAnswer: 1134124200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13248, -106043, -357922, -848427, -1657100?\n\"Answer: -13257*o**3 + 4*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 2*h - 12. Let b be s(-5). Suppose -2*z - 8 = -5*d + 2*z, 2*d = -5*z + 23. Let y(n) = d*n + n**2 - n**3 + 1 - n**2 + n**2. Calculate y(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -24. Let r = -10 + d. Which is the smallest value? (a) -1\/3 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 4. Let c = 0.2 + 0. Sort 2\/7, c, z in increasing order.\nAnswer: z, c, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(-66))\/(4\/354) and -55\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p - 3, 0 = -4*v + 5*p + 29. Suppose -4 = 2*h - 0*h. Let g = h + v. Solve -4*y = -3*w + g*w + 20, 5*w + 2*y + 10 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188444657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.55 + -1.5. Let n = -0.05 + h. Let t = n - -4. Which is the closest to -2? (a) 1\/3 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4652\/10307 - -3\/937. Find the common denominator of 23\/45 and q.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -35229*g**2. Let h(t) = 65*t. Determine h(u(z)).\nAnswer: -2289885*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/5 + 3796*x**2\/5 - 23396*x + 97900.\nAnswer: 4*(x - 25)*(x - 5)*(x + 979)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -216877\/14 + 30983\/2. Suppose -16\/7 + 24\/7*y - 12\/7*y**2 + g*y**3 = 0. Calculate y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + (1 - -8))*9. Solve -6 - k = -17*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/5)\/(l*l**5*l*l)*l**5\/(l**(-4)\/l))\/((l**0*l)**(5\/6)*l\/(l\/(l\/l**(-6)))*l**(4\/5)\/l) assuming l is positive.\nAnswer: l**(-163\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + 5.37. What is u rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 307.5867 micrograms to kilograms.\nAnswer: 0.0000003075867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/14543008 and -101\/176.\nAnswer: 159973088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.413059 rounded to two dps?\nAnswer: 4.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1705815583?\nAnswer: 29, 131, 277, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 w when four letters picked without replacement from {w: 3, p: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-12)\/(-3) + -50. Let u = -44 - v. Solve 4*j + 2*d = -14, 2*j - d + 3 - u = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59892*q**3 + 113219*q**2?\nAnswer: -359352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**29*k)**(16\/7)\/(k*k**(-2\/25))**24 assuming k is positive.\nAnswer: k**(8136\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 326 and 72209.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1849*a - 18487. Give h(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epptepetptptetttte. What is prob of picking 1 t and 3 e?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 5. Let f be 10\/(-3)*(-408)\/16. Let u be (-44)\/(-10) - 34\/f. Solve -m = 2*m + 2*h - 1, -u*m = -o*h + 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 561*g + g - 1924*g + 642*g + 582*g.\nAnswer: -138*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11270229 by 5.\nAnswer: -11270229\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + (0 + (sqrt(19) - (1 + sqrt(19))) - sqrt(76)\/(sqrt(4)*2)) - (sqrt(57)\/sqrt(3)*4 + -3 + -2*sqrt(19))) + 4.\nAnswer: -5*sqrt(19)\/2 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**3 - s + 5*s**2 + 0*s - 6 - 5*s. Let o(f) = -f**2 - 21*f - 6. Let w be o(-21). Let p(a) = -3*a**3 + 4*a**2 - 5*a - 5. Calculate w*p(c) + 5*h(c).\nAnswer: -2*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12933317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = -4. Solve -2*w = n*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2511304 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g - 84 = -50*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*m - 2*z - z, 46 = 5*m - 4*z. Let v(b) = -b + 5. Let p be v(9). Let x be p\/(-6)*27\/m. Calculate the highest common divisor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*k + 2. Suppose k*s - 14 = -0*s. Suppose 3*p - 46 = -s. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {e: 7, t: 1, r: 4, z: 1, p: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 10 + 10. Let v(x) = 0*x**2 + 7*x**2 + o*x**2. Does 6 divide v(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**8\/10920 - x**7\/455 + 7*x**6\/780 - x**5\/78 - 12*x**3 + x**2 + 56. Let j(y) be the third derivative of t(y). Factor j(i).\nAnswer: 2*i*(i - 10)*(i - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Let z = -27 - -25. Let p be z\/(-4)*((-3 - -3) + 6). Solve v*q + p = o + 2, -14 = q - 5*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*o**3 + 9*o**3 + 15*o**3)*(0 - 34 - 26) to r*o + w*o**3 + f*o**2 + c and give w.\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567851?\nAnswer: 17, 33403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 632240293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -11, -4, -1, -3 in increasing order.\nAnswer: -35, -11, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 17294.\nAnswer: 27\/17294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45731 is divided by 973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 18*q**3 + 187*q**2 + 73*q + 24. What is u(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-61)\/(-1220))\/((-7)\/(-56)). Let y = 3.2 - 3.66. Sort j, y, 2 in decreasing order.\nAnswer: 2, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrhhrhhhhrhhhhhhh. Give prob of picking 3 h.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4, -l - q = 218 + 609. Let i = 13307\/16 + l. Calculate the common denominator of 119\/(-18) - 2 - -4 and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101021022 (base 3) in base 8?\nAnswer: -16477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 216 + -217. What are the prime factors of (-55)\/y + (0\/5)\/(-1)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 467155269?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/3 at least 397\/846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384627192.\nAnswer: 2, 13, 719, 18517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(-2 + 5) - 12*1254\/(-304).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108 - 3*i + 167 + 2*i to the form c + h*i and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34992 in -0.19, -3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) - -1*(sqrt(48) + 1) - sqrt(48) - (sqrt(192) + 2*sqrt(192))\/sqrt(4))*-1 - (-4 + (-1*sqrt(144))\/(sqrt(27)*-4 + sqrt(3))))**2.\nAnswer: 504*sqrt(3)\/11 + 22257\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40926)\/(-1077)*5\/4*(-4)\/(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1833928753?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 - 3*t**2 - 15*t + 9. Let y be c(4). Suppose y*d - 37*d = -760. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = -t, -8 = 4*l - 2*l - 2*t. Let k(o) = 5*o**3 - 5*o**2 + 5*o + 3. Let y(w) = 3*w**3 - 2*w**2 + 2*w + 1. Let x(f) = 2*k(f) - 5*y(f). What is x(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -6*u**2 + 2 + 43 + 2 + 17. Let m(d) = 10*d**2. Determine m(q(c)).\nAnswer: 1440*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/300 and 71\/21909450?\nAnswer: 43818900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 5 (c) -4 (d) 0.11 (e) 20 (f) -47 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -30. Let s = -13 - n. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**2 + 7*d - 52. Calculate the remainder when h(5) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:21 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 5*a - 6, 2*m - 4 = -29*a + 27*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 42 = -5*s + 2*s, -3*w = -5*s + 66. Let d(k) = -k**2 + 18*k - 50. Let y be d(s). Let c(u) = -u**2 - 4*u + 2. Determine c(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7938?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/10 + 13\/5. Suppose -3*z - i = -4*z. Suppose -z*h + 21 = -x, h = 4*x - x + 7. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0.04, 1, 24213 in descending order.\nAnswer: 24213, 1, 0.04, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fflffllflff. What is prob of picking 2 f?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108673272, 108673271, 108673270, 108673269?\nAnswer: 108673268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 3, l: 4}. What is prob of picking 1 d and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a + 3*d - 45, -5*a + 3*d + 171 = 0. Let j = 2561 + -2557. What is the greatest common divisor of j and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/653378 < -3\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112.8 - 113. Suppose -2*x - 3*x = 5. Let z be -1 + 0 + 2 + x. What is the nearest to z in 2, -5\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1\/4 (b) -32 (c) 227\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1. Let x(l) = 2*l + 1. Let a(i) = -2*h(i) + x(i). Let r be a(0). Put r, -3, 0 in increasing order.\nAnswer: -3, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1634 and 7.0907.\nAnswer: 11586.2038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 11. Let p be (8\/3)\/(h\/(-15)). Suppose -p*v + 3 = -5. Solve a = 5*s + 14, -v*s - 5*a = -2*a + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 8 = -40. Let f be a\/6*(-6)\/(-4). Suppose 0 = 5*c - 23 - f. Calculate the greatest common divisor of 10 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * 0.289.\nAnswer: -11.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 69403030.\nAnswer: -20820909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, 1\/2, 7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 58*o - 1. Let y(w) = -116*w + 2. Determine 5*u(g) + 2*y(g).\nAnswer: 58*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/7))**(-15)\/(s\/(s*s**(-2\/7)\/s))**(2\/13))**(2\/103))**(-29) assuming s is positive.\nAnswer: s**(-21576\/9373)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v + 24 = 25*v. Suppose 2*x - 2*j = 94, x - 38 - v = -2*j. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 9:39 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 6. Let i = 52 - 47. Suppose 0 = -5*h - 5*z - a, 0 = h - 3*h + i*z - 18. What is the third smallest value in 0, -1\/5, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*w + 5*w**2 + 0 + 7\/3*w**4 - 6*w**3.\nAnswer: w*(w - 1)**2*(7*w - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15400 and 374220?\nAnswer: 3742200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4*v = -57 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9)*-3*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/6 and (140\/(-165) + 2)\/2?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 31*z - 98. Let g be f(-3). Sort -4, -5, g, -2\/5 in decreasing order.\nAnswer: g, -2\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(102) + sqrt(102))*-4)\/(-5*sqrt(96)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - -3)*(1 + (-12)\/(-2)). Is 85 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94277856 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1148 and 51\/7756.\nAnswer: 317996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-4)\/(-6))\/((-2)\/3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061871729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and (-32)\/3*(-144)\/64?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 0*k**3 - k**3)*(-164*k**2 + 65*k**2 + 57*k**2) - 2*k**2 + 2*k**2 + k**5 + (-3*k**5 + 3*k**5 - 2*k**5)*(3 - 6 + 5).\nAnswer: 81*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -297537*l**6 + 2*l**5 - 641339*l**2?\nAnswer: -35704440*l**3 + 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) + (-13)\/3. Suppose -15 = -5*l - 0. Let z = l - 5. Put 5, z, u in decreasing order.\nAnswer: 5, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u - 14. Let l be x(4). Let a be -5*5128\/(-60)*3. Suppose 4*k + a = l*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24816 = 1204*d - 1721*d for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - o + 0*o + o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/1144*-6)\/((-55)\/((-108900)\/(-135))).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnrgimc. Give prob of sequence ig.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13332213001 - 10?\nAnswer: -13332213011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 d when three letters picked without replacement from {d: 1, z: 2, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -26 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a6562 (base 13) to base 5.\nAnswer: 3000302422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 9*a + 14. What is j(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -165, -162, -159, -156?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02314623673 rounded to five decimal places?\nAnswer: -0.02315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + (sqrt(320) - sqrt(320)*3))*-3.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*c + 9646 = -49*c. Does 25 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {y: 2, p: 2, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 232 and 1218?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20615*r**2 - 82058*r?\nAnswer: -41230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*k = -435, -2*s = 2*s - 2*k + 410. Let q be -51*(-14)\/s*-35. Calculate the greatest common factor of 70 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (2312\/8 - -9) + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 183934?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -282*j**2 - 16819326 - 119286*j - 2\/9*j**3 = 0.\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2100\/150 + 49\/(-4)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 7:50 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31e - 9314?\nAnswer: -9632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 46291*w**2. Let d(y) = -2*y**2. Give d(j(q)).\nAnswer: -4285713362*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 483378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 12:12 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 0 - (277 + 1). Let g be p\/125 + 1\/5. Let y(z) = -z**3 - z**2 + z + 1. Let c(w) = w**2 + w - 1. Calculate g*c(v) - 2*y(v).\nAnswer: 2*v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*l - 756*l - 825*l - 32333 - 38891 = 0 for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 20*s + 9. Let n(y) = 6*y. Let z(o) = -g(o) + 3*n(o). Let x(k) = k + 8. Give 4*x(m) + 3*z(m).\nAnswer: -2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 1 + 25. Let r = 0 - l. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utwt when four letters picked without replacement from umwmtt.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/11)*c\/((c\/(c*c*c\/(c**2\/c)))\/c))\/((c\/(c**7*c))\/c**6) assuming c is positive.\nAnswer: c**(178\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/5*-50*(-21)\/84*-1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-4))\/(3 - 4). Suppose 2*p - 6 = t, -t + 6 = -p + h*p. Solve t = -3*l + l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 111, 0, 0.2, -0.064, 20\/3 in decreasing order.\nAnswer: 111, 20\/3, 4\/5, 0.2, 0, -0.064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/27 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -4) + (3 - -4) + -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11 + 2 + -1 - -2)*(-2)\/16. Let k = 2.2 - 2. What is the closest to 0.7 in -3, c, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = -13*z + 24*z. Solve -z*y + 26*y + 8 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 1:09 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4537?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 0) + 6\/3. Suppose d*y - 5 - 7 = 0. Let x be y\/306*(-1 + 7). Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1035*l**2 - 1 - 5*l**3 + 3*l**3 + 1025*l**2 as h*l + g*l**2 + r*l**3 + p and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3393347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 136549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 9) in base 2?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**4 - 6*k**2 + 6*k + 6. Let m(s) = s**4 + s**2 + s - 1. Let i(x) = -f(x) - 6*m(x). Find the second derivative of i(v) wrt v.\nAnswer: -108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**3 - g**2 + 8*g + 9. Let k be l(-2). Suppose 0 = k*p - 5017 - 8360. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -57*v + 2. Let t = -18541 - -18408. Let m(w) = -3762*w + 133. Determine t*r(a) + 2*m(a).\nAnswer: 57*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -a3830c (base 13) to base 4\nAnswer: -32203310010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554073 a multiple of 5309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4508.3 to the nearest 10.\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2081338 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1748 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (32 - 22 - 10) + (-1 - -2) - 43\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.412745 decades?\nAnswer: 0.3412745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + 1. Let h(o) = o**3 - 17*o**2 - 36*o - 22. Calculate the least common multiple of v and h(19).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -145307, -145309, -145311?\n\"Answer: -2*n - 145305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u)**0\/((u*(u*u\/(u**1\/u))\/u*u)\/u**3))**(10\/7) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001773103 rounded to six dps?\nAnswer: 0.000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34\/5 of a millennium?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**(5\/16))**(-35)\/(g**1\/g**(2\/21)*g**(-3\/10)*(g**(-1\/3)\/g)\/g) assuming g is positive.\nAnswer: g**(7093\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m + 283 = -5*j, -3*m + 115 = -2*j. Let f(w) = w**3 + w**2 - 5*w - 5. Let x be f(-4). Let l = x - j. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1057 - -4459. Is k a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -152346 - -512737. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25131477 (base 8) to base 7\nAnswer: -65116262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3+2378509\nAnswer: 2378506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 530941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 93*p**6\/10 + 329*p**4\/12 - 74*p + 4. What is the third derivative of z(j) wrt j?\nAnswer: 6696*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6624 is divided by 6518?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 67*u**2 + 18*u + 30. Let m be c(-2). Let d = m - -495. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10 + (-168)\/(-20). Let z(o) = -o**2 - 10*o - 2. Let g(h) = h**2 + h - 1. Let l(n) = 2*g(n) + z(n). Calculate l(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -6. Suppose -x*d + 24 = d. Let g = 11 - d. Calculate the remainder when g is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4205 + -1102024?\nAnswer: -1106232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/4)*((t*t*t**9)\/t)\/t)\/(t**(4\/11)\/(t*t\/t**(-6))) assuming t is positive.\nAnswer: t**(765\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 230684740988?\nAnswer: -230684740983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3747886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 7, 3, 5.\nAnswer: -13, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**5\/30 - g**4\/18 + 2*g**3\/9 - 20*g. Factor c(l).\nAnswer: -2*l*(l - 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 - (0 + (-8 - -2)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 6. Let j = -93 - -105. Let i(w) = 9*w - j*w + w + w + 5. Determine 4*d(c) + 5*i(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 3, 1.24, -0.3?\nAnswer: 1.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451 = 5*f - n, 0 = -3*f + 4*n - 33 + 307. What is the greatest common factor of f and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(99) + 5 + (4 + 3 + sqrt(99))**2.\nAnswer: 149 + 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/7)\/(((-1120)\/(-49))\/16)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1070.7 + 1071. Suppose j = -5*s + 3, j - s = -2*j - 7. Let r = 3.61 + -7.61. Which is the nearest to j? (a) v (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -11. Solve 0 = -r - r - u*s - 3, r + 4*s = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + o - 12, 656683*q - 656686*q - o + 0*o = 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -32. Let l be -5*(4 - a)\/(-5). Suppose -3*g + l = 3*m, 5*g = 5*m + 3 + 2. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -317?\nAnswer: -3\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17250694 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/553010 and -81\/16.\nAnswer: 4424080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 1\/4, 0.5, -1.62, -1, 31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*((-4983)\/12)\/(-11). Let j = 145 - u. Let c(m) = -8*m - 3. Suppose 8*r + 5 = 3*r. Let d(v) = v. Calculate j*d(s) + r*c(s).\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100110110111 - -11110001001?\nAnswer: 10010000101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 394, -1736, -8700, -22916, -46802?\nAnswer: -82776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 429?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**10\/315 - 7*f**6\/180 - 4*f**3 + 16. Let r(g) be the third derivative of q(g). What is the third derivative of r(i) wrt i?\nAnswer: 1920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1758*d + 2 - 2 + 1150*d.\nAnswer: 2908*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s - 5. Let v(o) = -3*o - 11. Let w(u) = 13*n(u) - 6*v(u). Calculate w(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -151.72 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -475*k**3\/3 + 85*k + 2. Let n(d) be the first derivative of -d**2 - 11. Determine n(p(i)).\nAnswer: 1900*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 22) + 17 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 3*t - 4. Let h be i(-5). Let z be (2 - h\/4)\/((-1)\/(-10)). Is z less than 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**2 - 3*s + 2. Calculate o(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3736865 is divided by 854.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1897311835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1 - 93*n**2 + 92*n**2 + 0 - n + n. Calculate s(-6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33156305 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(128\/(-72) - 2\/9). What is the greatest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 + 93. Let f be 3*-1*(1 - -4). Let j = s + f. Solve -3*r = 6, 0 = -j*v - 7*r + 3*r - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1. Let k(f) = 1. Let s(a) = -a**2 - a + 7. Let c be s(-4). Let x(n) = c*m(n) - 6*k(n). Let p(i) = -i + 5. Give 3*p(h) + 15*x(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 28*f + 214 + 216 - 411 + 36*f**2. Is t(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 + 25745002*m\/5 + 5149000.\nAnswer: 2*(m + 1)*(m + 12872500)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4995, -10179, -15363, -20547?\n\"Answer: -5184*i + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**5\/20 + 3*t**4\/4 - t**3\/2 + 3*t**2\/2 - 6*t. Let p be b(-9). What is the greatest common factor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70492451 to the nearest integer?\nAnswer: 8396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 6*k**2 + 4*k - 1. Let t be s(-4). Let n = 22 - t. Suppose 116 = 4*j + 4*q, -3 - 22 = 5*q. What is the remainder when j is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 6*k - k**2 + 3*k - 4*k + 2. Let i be t(-7). Let r(g) = 2*g + 2. Let a(n) = 1. Let p(y) = -5*a(y) - r(y). Give p(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.89 - -2.31. Let d = -10.8 - t. Which is smaller: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 5*s + s)*(-2878 + 4931 + 3998 + 3555 + 1017).\nAnswer: -21246*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 172*h**2 - 22*h. Let w be ((-1)\/(9\/(-6)))\/((-8)\/(-24)). Is d(w) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2 + 3) - -8. Suppose -f - h = -4*f. Solve -4*k + 5*n - 31 = 0, -f*k - 14 = -n - n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -4 (c) 1\/7 (d) -0.061\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1761557363, 1761557361, 1761557359?\n\"Answer: -2*i + 1761557365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/44*354\/(-4602)*(-26)\/(-4)?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 p, and 2 s when four letters picked without replacement from {s: 10, p: 2, d: 4}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -9*f + 2*f. Let 0 + 3\/2*b**2 - 3\/4*b**f - 3\/4*b = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 - -95. Let t = 21 - q. List the prime factors of (12 + t)\/((-6)\/(-36)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -474*f**2 - 304 + 476*f**2 - 261 as a*f**2 + z*f + k and give k.\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 937 = 5*d, 19*p - 2*d = 14*p + 2374. Suppose 958 = 4*s - 2*g, -3*g + 5*g - p = -2*s. List the prime factors of s.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.061124874 to three decimal places.\nAnswer: 1.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8 + -8)\/2)\/(0 + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -103, -159, -215, -271?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + 1b?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 2\/9 (c) -3 (d) 0.7 (e) 53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 3*v. Let g be q(0). Let i(p) = p**2 + 0 - 13*p + 36 + g. Let t be i(18). Calculate the greatest common factor of t and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 1. Let q be d(1). Suppose -2*h + 4*b + 20 = 0, -q*h + 40 - 11 = -b. Solve 4*y = 4*f - h, -5*y - 20 = -4*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 - -18 - (-6 + -21)) + (-1 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1915312 and -13\/2744.\nAnswer: 1915312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/5 + 8\/40. Suppose -4*d - 407 = -4*a + d, v = 5*a - 4*d - 520. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 180*r**2 + 606*r**2 - 68.\nAnswer: 426*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4131, -8198, -12195, -16086, -19835, -23406, -26763?\nAnswer: -29870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1316558797 is divided by 6651?\nAnswer: 6649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.00613 + 11\nAnswer: 11.00613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 8*f**2 - 10*f + 11. Calculate k(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**5\/4 + 302*s**4 + 38196*s**3 + 609323*s**2\/2 + 2604725*s\/4 + 768825\/2 = 0 for s.\nAnswer: -85, -27\/5, -2, -1, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 1)*6\/8. Let k = -0.74 + 0.24. What is the third biggest value in 2\/7, k, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 445 + 43. Suppose -o = -k + 237. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -716 - -715.1. Which is the closest to -0.02? (a) 0.2 (b) -0.01 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (2 + 3 + -75). Let p = 125 - s. What are the prime factors of p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)\/((u*u\/((u**(-2\/7)\/u*u)\/u))\/u))\/((u*u**5)\/u**(1\/6))*(u\/u**(-5))\/u**(-1\/2)*u**3\/(((u\/((u*u\/u**(2\/7))\/u))\/u)\/u) assuming u is positive.\nAnswer: u**(23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18652572247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15139913 is divided by 1585.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/53 + 113\/636. Let h(i) be the second derivative of 0 + t*i**4 - 3*i - 3\/2*i**2 - 1\/6*i**3. Give h(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**3 + 11*j**2 + 8*j - 36. Let v(r) = 4*r**3 + 12*r**2 + 9*r - 34. Let s(i) = -3*m(i) + 4*v(i). Factor s(y).\nAnswer: (y - 1)*(y + 2)*(y + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 - 0.12. Let h = 4.7 + s. Let g = h - 2.9. Round g to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n - 2. Let h be t(2). Let r(l) = 2*l**3 + 3*l**3 - 6*l**3 + 4 + h*l**2. Let k(m) = m**3 - 5*m**2 - 3. Calculate -6*k(z) - 5*r(z).\nAnswer: -z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 3, -2\/31, -1540, -3 in descending order.\nAnswer: 3, -2\/31, -2\/7, -3, -1540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 151254 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 2*b - 5. Let h be j(-4). Let d = 174 + -81. Suppose -d - 15 = -h*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2. Let n(v) = -v**2 + 20 - 37 - v - 4*v - 6*v. Determine n(k(w)).\nAnswer: -w**4 - 11*w**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) - (-3)\/6. Solve j = 2*d - 0 + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21396, -21471, -21546, -21621, -21696?\n\"Answer: -75*f - 21321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 8:48 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x**2\/9 - 5750*x\/3 + 87042 = 0.\nAnswer: 801\/16, 489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, -22, -33, -36, -25, 6, 63?\n\"Answer: z**3 - 5*z**2 - 5*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -5, -0.08, 2\/7, 116652, -1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -5*s. Solve s = 4*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -85770200 to the nearest one hundred thousand.\nAnswer: -85800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -8. Let n = -3 - i. Let j = n + -1.1. Which is the third biggest value? (a) -1 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 + 1149. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 6. Let o = 1385 + -1380. Suppose o*v = -y*v + 144. Solve j + 14 = 3*w, 2*w - 5*w + 3*j = -v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 17*n - 13. Let y be j(-18). Solve -p - 4 - 8 = -4*v, y*p + 20 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 6*p + 7. Suppose -7*b + 17 = 115. Let w(y) = 16*y + 22 + 0*y**2 - y**2 + 2*y**2. Let x be w(b). Calculate z(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from miiiimicimiicihi?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-990)\/(-24))\/1 - 1\/4. Suppose -11*w + 14 + n = 0. Solve 0 = -c, -u + 4*u = -w*c - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -489.999751 - -490. What is z rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 6) to base 4.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 2*c + 0*c)*(c**2 + c**2 - c**2) - 4460*c**3 - 517 + 11568*c**3 + 516 in the form v*c**2 + z + b*c + n*c**3 and give n.\nAnswer: 7106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 5 - (-3 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/252 and -103\/112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 2*g**2 - g - 5. Let m be w(3). Let o be (1 + 0)\/(m + 10). Which is greater: -2\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 832456\/21 + -3647536\/91. Let s = -442 - q. Suppose -4*j + 3*j = 0. Is j less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1113*q - 1119. Give d(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 22428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 13. Suppose -5*r = -6*w + 3*w + 8, r - 38 = -3*w. What is the lowest common multiple of v and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -11*f - 51. Let d be 3\/f - (-4 + 3 + -4). Let j = -37 + 37. Solve 4*l = -5*z - 2 - 3, j = -d*z - 3*l - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706\/3003 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 11 = 9*u - 10*u, -2*u - 2*x + 18 = 0. Solve u*h = -6*h + 40 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvnvnnvvnnnvn. Give prob of sequence nn.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y = 0. Calculate the common denominator of y + 48\/(-21) + 0 and 121\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 4:02 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 438.181 - 438. Let b = -4.899 - d. Round b to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*x = -52, 86*n - 82*n - 3*x = 76. Let r(h) be the third derivative of 0 + n*h**2 + 13\/60*h**5 + 0*h + 0*h**3 - 1\/12*h**4. Factor r(i).\nAnswer: i*(13*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 319 divide 1930525821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 - 113. Let u be 25\/r*(-6)\/(-15). What is the nearest to u in 1\/4, 3\/7, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.6 + -14. Let h = 14.1 - s. Let c = h - 10.76. What is c rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 5*i - 2*i**2 + 0*i**2 + 27.\nAnswer: -2*i**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616 is divided by 300.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + 25. Suppose 2*v = 4*v. Suppose v = -4*r + 2*g + 136, 2*r - z = -g + 23. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1105695047?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -5. Let q(f) = -15*f + 12*f - 1 + w. Let x(u) be the third derivative of u**5\/30 - u**2. Calculate x(q(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 + 2 + 8*j**2 - 2*j - 10 + 184*j**3 - 185*j**3 - 3*j**2 to the form m*j**4 + y*j + s + c*j**3 + g*j**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 14. Solve -h*j - 8 = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -8 - (1 - 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65525.\nAnswer: 5, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + a**2 + 6*a - 22. What is b(0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-105)\/147 - 5975\/(-35). Calculate the greatest common divisor of m and 765.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (990\/5)\/((-6)\/(-4)). Let s = q + -93. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1470653906 to the nearest integer?\nAnswer: 38349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*v, 322 = 5*x + v + 24. Let q(u) = -2*u - 4. Let b be q(-4). Suppose 4*w + b*a - x = -0*a, w - 3*a - 23 = 0. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.36 - -15.36. Let c = t - 14. Which is bigger: c or 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*i - 13, -5*v = i - 55. What is the remainder when 22 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-4017)\/(-2010) - 2). List the prime factors of ((-11)\/(-2))\/(10\/x).\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0864094 days in seconds?\nAnswer: 7465.77216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 4:10 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2\/(m\/m**(-30))*(m*(m*m**(4\/5))\/m*m)\/(((m**(-1\/25)\/m)\/m)\/m*m))**(25\/2) assuming m is positive.\nAnswer: m**(-302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igvgvbvvgigvgviviviv. Give prob of sequence iib.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-16))\/r**(-1\/10)*r**(-3\/7)\/r*r*r*r**8\/r assuming r is positive.\nAnswer: r**(-513\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 15.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 2 (c) -4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -3*q**2 - 1\/8*q**4 + q**3 - 2*q + 0. Solve j(u) = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2819\/4 (c) -25\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 2:17 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538304083.\nAnswer: 37, 14548759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 182320526 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -36886002 divided by 258?\nAnswer: -142969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -47*j**2 - 9*j - 13. Let y(n) = -12*n**2 - 2*n - 3. Let m(t) = 4*u(t) - 18*y(t). Let h(p) = p. Calculate h(m(x)).\nAnswer: 28*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9547*j - 19161*j - 20 - 5*j**2 + 9570*j. Give u(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -804 + 6401\/8. Calculate the common denominator of 107\/110 and g.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(-3*d - 27*d + 16*d) + 2*d + 4*d - d + (7 - 1 + 2)*(0*d + d - 3*d) as l*d + q and give l.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34742719*x**2 + 36011628 wrt x.\nAnswer: 69485438*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 10*l + 134. Let y(n) = 2*n + 27. Determine -3*o(q) + 16*y(q).\nAnswer: 2*q + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2. Let u(b) = -6*b + 3. Let z(c) = -7*c + 4. Let w = 0 - -3. Let r(g) = w*z(g) - 4*u(g). Calculate r(p(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(0 + 2\/(-100))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.18297 and -62.\nAnswer: -57.81703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/19 - 280260*x**3\/19 + 9817928186*x**2\/19 + 19636697160*x\/19 + 9818488712\/19 = 0. What is x?\nAnswer: -1, 70066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 406 + 5. Let i = -410 + h. Which is the nearest to i? (a) 1\/6 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.31 + -0.01. Let g = 3.8 - -1.2. Let w = -168 - -163. Put v, g, w in increasing order.\nAnswer: w, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 0*b**2 + 0 + 53 - b**2 - b. Is a(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2748 and 55\/1374?\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 9:00 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.8003341 to one decimal place.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**2*u**3 - n**2*u - 94658*n*u**4 + 744410*n*u**2 wrt u.\nAnswer: -6*n**2 - 2271792*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*c - 7258 = 3137. Calculate the greatest common factor of c and 480.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1233 + -213332021?\nAnswer: -213333320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -0.2, -3, 1\/12, -5, 246?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 864369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 96 = -c, 3*c + 56 = 3*x + 4*c. Suppose i = 0, 3*i = f - x - 0. Solve u + 4*u = -f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -5. Let q be (-86)\/(-10) + j\/15. Let d be 5 + (0 - (-3 + 3)). Solve 5*v + q = 2*i, -d*i - 2 + 3 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 32. Solve 4*n - 28 = 4*p, n + l = 3*n - p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 5:26 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104018 + 104018 - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5169?\nAnswer: 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 - (-228)\/(-8) - 27?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 15588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-48))\/((-1)\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*i - 17 = -47*i - 4*r, 0 = 2*i + r + 4. Let c(x) = 3*x + 33. Calculate c(i).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*k**5*u**2 + 53*k**4*u**3 - 2301*k*u**3 wrt k?\nAnswer: 480*k**3*u**2 + 636*k**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(2\/20*14) + 12?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -2*r**3\/3 + 2*r**2 - 5*r - 14. Let v be y(3). Sort -5, 2, v in descending order.\nAnswer: 2, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(2 - 4) + (-1 - 1). Suppose 4*m - s*c - 4422 = 0, 3*m + 3*c = 3561 - 267. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 14*i + 13. Let j be t(13). Suppose j*a = 3*a + 15. Sort a, -0.4, -5\/6 in ascending order.\nAnswer: a, -5\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 70743 = -19509. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6835412 (base 10) in base 11?\nAnswer: -3949601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -11*u**2. Let m(i) = i + 4. Let c(k) = -5*k - 24. Let d(h) = c(h) + 6*m(h). What is d(l(y))?\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-11 + 3)) + -13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 3*u + 12. Suppose k + 3840 = -u*q - q, 5*k - 1536 = 2*q. Let m = -181 - q. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 8*k + 30. Calculate the remainder when c(6) is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87116 is divided by 41650.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0*q. Suppose -u + 6*u - 15 = q. Let g(z) = z - 5. Give g(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 269, 0.3, -1\/3, 7, -1.899 in decreasing order.\nAnswer: 269, 7, 0.3, -1\/3, -1.899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142162*j + 7*j**2 - 47*j**2 + 142164*j.\nAnswer: -40*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -459\/8939 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (125\/(-15))\/(-15*14\/1260).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 7*q**2 - 13*q - 157. Let f be g(-8). Sort f, -8, 4, 2, 5 in ascending order.\nAnswer: -8, 2, 4, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 1755 = 540. What is the highest common divisor of p and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -35. Let c be 5\/s*-19 + 3. What is the nearest to c in 0, 5, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -255 + 81. Let j = s - -174.71. Let d = j + -0.03. What is d rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32212.1292 to the nearest 100.\nAnswer: -32200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*h**2 - 21*h**3 - 11886*h**4 - 27*h**3 - 168*h + 11888*h**4 = 0 for h.\nAnswer: -3, -1, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -10 + 18 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 67347, 69714, 73659, 79182, 86283, 94962, 105219?\n\"Answer: 789*u**2 + 66558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 6*x - 13\/6*x**6 + 2 + 67\/6*x**3 + 0*x**2 + 0*x**4 + 0*x**5. What is the second derivative of h(v) wrt v?\nAnswer: -780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -615069, -1230469, -1845869?\nAnswer: -2461269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -168221 divided by 1\nAnswer: -168221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 2:03 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5334211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1716106727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*j = -4, -7*y = -2*y - j + 5. What is the units digit of (-215 - -8)*1*y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w + 23*w - 21*w.\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 37\/(-3) + (-7)\/(-21). Let t be (462\/x)\/(1\/(-2)). What is the highest common factor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 8*p**2 + p + 10. Calculate the least common multiple of z(8) and 3 + (2 - (3 - 2)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 18. Let v be c(-11). Suppose v = -8*q + 31. What are the prime factors of (1 - 37)\/(65\/(-20) + q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 10593\nAnswer: 21186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*p**2 - 29*p**2 - 6*p + 9*p**2.\nAnswer: -p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 10*p - 25. Suppose 0 = -3*r + 4*b - 0*b + 151, -3*r = -p*b - 155. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**2 - 4 - 3*u + 5*u + 3. Suppose -2*n = n - 3. Let p be s(n). What is the highest common factor of 64 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*t = 261*t + 152. Sort 10, -1, t, -2, -3 in ascending order.\nAnswer: t, -3, -2, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqqqqqu?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2250 by -375.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3674, 14704, 33092, 58838, 91942, 132404, 180224?\n\"Answer: 3679*h**2 - 7*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1.065909?\nAnswer: 1.065909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (64\/112)\/(87\/(-3654))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-3)*-1)\/((-1)\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 0, 1, 27, 3, -51 in increasing order.\nAnswer: -51, -4, 0, 1, 2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -54*v**2 + 14*v - 2. Let j(y) = -5*y**2 + 7*y - 1. Let d(q) = -i(q) + 2*j(q). Let l(w) = -213*w. Calculate d(l(n)).\nAnswer: 1996236*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*i**4\/7 - 75*i**3\/7 - 96*i**2\/7 - 39*i\/7.\nAnswer: -3*i*(i + 1)**2*(6*i + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7161 != -7162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 6*k**2 + 4*k - 3. Let x be p(-5). Let w(n) = 4 + x*n + 2*n**2 + 5*n**3 + 4*n**2 - 5 - 4*n**3. Is w(-5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 2. Suppose 17 - 13 = 2*k. Solve -q + k*a = -2*q - 3, 5*q = 4*a - w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7662404 and 32.\nAnswer: 61299232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.3. Let b = q + -3. Let l be 3 + -4 - (-2)\/6. Sort 1, l, b.\nAnswer: b, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*g - 390 - 9. Calculate the smallest common multiple of 105 and g.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2021, -16018, -54005, -127976, -249925, -431846, -685733?\n\"Answer: -1999*m**3 - m**2 - m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -599 greater than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 4*n**2 + 6*n - 6. What is the smallest common multiple of 16 and c(4)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -18*g**2 - g. Let j be q(-1). Let a = j + 24. Suppose 0 = -3*b + a*b - 148. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/7 + 204*d**3\/7 + 4992*d**2\/7 - 10816*d\/7 = 0.\nAnswer: -52, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g - 1. Let m = -7 - -9. What is d(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*c - 9, -c + 3*f + 6 = -3. What is the units digit of 51 - (0 + c)*2\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2 + 15*j**2 - 4 - 13*j**2. Calculate i(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 22 = 13. Let i = -2 + v. Suppose i*d - 4 = 3*d. Solve -d*y = 2, 6*j = 2*j + y + 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*q - 3*q. Suppose -5*d - 3 = 4*a + 1, -32 = -q*a + 3*d. Calculate the greatest common divisor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -341, 3 in decreasing order.\nAnswer: 3, 0, -341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 - 10.3. Let d = -8 - 0.6. Let w = d - x. Which is the closest to 1? (a) 2 (b) w (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - -110111001100110?\nAnswer: 110111001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**2 - 38*f**2 + 6*f**2 + 5*f**2 + 6*f**2.\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 179675483 to the power of 1\/3, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5 - 26\/4)*113376\/(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1376 is divided by 189.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/18*63\/(-14).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwdhwhdwcc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 + -454?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113502.816 seconds to weeks.\nAnswer: 0.18767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r + 34. Let f be q(17). Suppose f*u - 12 = -u. Let v be 72\/(-10)*(1 + -6). What is the greatest common factor of v and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - (-40 + -10) - -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h - 12. Suppose 0 = -15*a + 11*a + 24. Suppose -a*v + 4*v = 10. What is the units digit of t(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3 - 13364*p - 17421*p - 9296*p + 6712*p. Let w be b(3). Let k = w + -29896. Round k to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + 5*l = -25*y + 951971, 5*l - 2379890 = -5*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -2*j**7\/105 - 7*j**6\/30 - 6*j**5\/5 - 10*j**4\/3 - 16*j**3\/3 + 6*j**2. Factor d(l).\nAnswer: -4*(l + 1)*(l + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -85 or -1452482?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4397*t**2 + 4*t + 5480. Let v(p) = -21981*p**2 - 19*p - 27399. Let l(w) = -19*k(w) - 4*v(w). Find the first derivative of l(y) wrt y.\nAnswer: 8762*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 17*o**2 - 78*o + 24. Is p(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69*t**3 + 65*t**2 + t wrt t?\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z. Let p(h) be the third derivative of -5*h**4\/12 - 14*h**2. Determine p(y(a)).\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*y = 164*y - 87*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y**0))\/y)**25\/(y**9*y**7) assuming y is positive.\nAnswer: y**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - -531?\nAnswer: 53c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92584035*r**3 - 30429174 with respect to r.\nAnswer: -277752105*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**3 - 195*k**2 - 405*k - 205 = 0 for k.\nAnswer: -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (1 + 125)*(-1593)\/(-354)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, k: 4}. Give prob of picking 3 k and 1 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -212 + 188 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and -3.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcygmgccykkikgikcikc. Give prob of sequence yykm.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1925\/20 + 1\/(-4). Let s(t) = -t**3 + 12. Suppose 2 = -5*r + n + 6, 3*r + 3*n + 12 = 0. Let q be s(r). What is the highest common factor of q and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 25.77. Which is bigger: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {l: 3, p: 5, z: 8}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h + 1. Let x be u(-1). Suppose -3*z + 16 = 2*a, a = -3*z + 3*a + 8. Find the third derivative of 3*q**2 + 2*q + z*q**5 - x*q + 4*q wrt q.\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.13788.\nAnswer: 0.27576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-730)\/16 - (-1932 + 1887)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19935300 rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, r: 2, m: 4, l: 1}. What is prob of picking 2 m and 2 r?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-88)\/165 + 3 + 172\/(-60). Which is the nearest to 50? (a) 2 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2))**(4\/19))**(-13\/6)*(v**(-2\/7)*v)**(-2\/105)*((v*v**(1\/2))\/v*v)\/v**(-3) assuming v is positive.\nAnswer: v**(30157\/5586)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49069552 and 32224.\nAnswer: 5201372512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -661*h**4*t - 4*h**4 - 8*h**3*t + 8*h**3 - 4219953*h**2*t wrt h.\nAnswer: -15864*h*t - 96*h - 48*t + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 155\/1725 + ((-13)\/(-15) - 1). Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (10\/(-15))\/((-12)\/252) and (-6)\/(-27) + (-3500)\/(-126)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448567446.\nAnswer: 2, 3, 74761241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*o = 4*t + 132, 33 = -t - 4*o. Let u = 38 + t. Solve 3 = l - 2*k, l - u*k = 3*l + 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(-2\/23))**(1\/2)\/((f\/(f\/f**4*f))\/((f*f*f**(-7))\/f)))**(24\/11) assuming f is positive.\nAnswer: f**(-4392\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189\/189 + (2\/(-12))\/((-4)\/30).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24891732.\nAnswer: 2, 3, 230479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-17)\/(v**(-20)*v) assuming v is positive.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69*c**3*u**3*y + 985*c**3*u**2 + 227*c**3*u*y - 6*u**3 wrt y?\nAnswer: 69*c**3*u**3 + 227*c**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6920335383?\nAnswer: 3, 13, 613, 289469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2265, -4537, -6809, -9081?\n\"Answer: -2272*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -254 - -262. Let p = -702 + 703. Let z = 1.9 - 2. Which is the fourth biggest value? (a) p (b) l (c) 2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-3))\/2)\/((-3)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**4 + 220*p**3 - 4995*p**2 - 11430*p + 16200 = 0. What is p?\nAnswer: -60, -3, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 3*p**2 + 6. Let o be n(-3). Let d be ((-340)\/o)\/(4\/(-12)). Let l = d + -116. Is 29 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 972475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + 0 - (-12 - 3)\/(-3). Solve n = -0*t + 4*t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**2 - 421*q + 5784. Give x(18).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 10*u - 1. Suppose 0 = 4*m - 13*t + 8*t + 12, 3*t = 5*m + 2. Let j(k) = 9*k. What is m*b(h) - 3*j(h)?\nAnswer: -7*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 187008 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 459850121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4088\/(-17885))\/(55\/25 + -3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(900)*1)\/sqrt(4))\/(sqrt(75)*5*-4)*5.\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 163149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -36. Suppose 3*s + 28 = -k*y + 4*y, 4*y + 18 = -s. Is 6\/s + 1466\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977220?\nAnswer: 2, 3, 5, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*f - 4*z, z = -3*f + 40 - 30 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612682 - 6*w**2 - 618742 + 1231424.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 1\/6*n**3 + 0*n + 1\/24*n**4 + 3 + n**2. Let g(s) be the second derivative of c(s). Let y(f) = -4. What is 2*g(i) + y(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 - 146 = -9*x. Let b = x + -24. Let m(i) = i**2 + i + 11. Is m(b) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.1 (b) 3 (c) -5 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5656 and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4 = -1. Suppose 2*z + g = 5. Let f(o) = -o**2 - 8*o - 3. Let t be f(-6). Solve 0 = -z*m - m - t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 381 and 310007?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 319.\nAnswer: 28\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(3267) + (sqrt(3267) + 2*sqrt(3267))*1))\/(3*sqrt(36) - 4*(sqrt(9) - sqrt(27)\/sqrt(3) - sqrt(9)))*1)**2.\nAnswer: 23232\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37a5 (base 11) to base 6.\nAnswer: 34535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429405?\nAnswer: 3, 5, 28627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**5\/2 - 1000*y**4 - 37635*y**3\/2 + 3005*y**2 + 54430*y - 37620 = 0.\nAnswer: -18, -2, 1, 418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-1)*-2 + 1. Suppose -o - 47 = -4*o - 2*i, 5*o = -r*i + 70. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, t: 6, l: 2, g: 2}. Give prob of sequence tl.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 21 + 6*z + 13*z - 8 - 2*z. Is o(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 3\/7 (c) -0.2 (d) -0.1818\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 5, t: 3, r: 1, e: 6}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(133))\/sqrt(7) - sqrt(19)) + (2 + -2 + sqrt(19))**2 + 2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 2*u**2 - u + 2. Let w be p(3). Let l = w - 3. Let m be (-2)\/(-6) + (-2)\/6. Solve n - 5*t = 14, m = 3*n - l*t - 26 + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*j**3 + 9*d*j**2 + 2*d*j - d - 13141473*j**3 + 47732*j - 84 wrt j?\nAnswer: -12*d*j + 18*d - 78848838*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a minute?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 13 = -10*i + 26*i, 7*l + 16 = 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-37 + 11) - (16 + 2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 less than -132.601?\nAnswer: -855.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzw when three letters picked without replacement from cwzzzzzzzqcszwswcz?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*n - 724 = -42*n - 1372 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 501\/(-334) + (-37)\/(-22). Let n = -91 + 89. Which is the second smallest value? (a) 1 (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -32*b**5 + 7266*b**4 - 14822*b**3 - 6366*b**2 + 14854*b - 900 = 0?\nAnswer: -1, 1\/16, 1, 2, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4a355a9 (base 11) to base 3\nAnswer: -121110110002002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - b - 1642, -1307 = -4*g + 3*b - 0*b. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, w: 3}. Give prob of picking 3 w and 1 h.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a + 22 = -w, 2*w - 5*a = 21. Let t(c) = -c - 2. Let q be t(2). Let u = q - w. What is the second smallest value in u, 3\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010126167 rounded to 6 dps?\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 2 (c) -0.07 (d) -4 (e) 65 (f) 302\/5 (g) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 1:43 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 1052160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1017 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 1 = -11. Which is the closest to -0.1? (a) -0.1 (b) s (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -266096.47164181\nAnswer: 266087.47164181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3397 is divided by 1256?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 12*l**5\/5 - 20*l**3\/3 + 14. Find the third derivative of p(f) wrt f.\nAnswer: 288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 11. Solve 4 = y*i - 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4224\/(-198))\/(-9*(-24)\/(-648))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 2*m**2 - 1. Let g be i(1). Let v be (6\/(-2))\/(-3) - -3. Let n = v + -1. Solve g = n*j - j - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3584065?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, -0.1, 1, 6 in ascending order.\nAnswer: -11, -0.1, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + o**2 - o - 1. Let s be b(0). Let d be (-15)\/6*s + -2. What is the smallest value in -3, -2, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence koo when three letters picked without replacement from kokkkokkkwkkkk.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 7 = 2*r, -12 - 8 = -3*t + 5*r. Suppose t = 7*k - 2*k. Solve k = -4*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 divided by -2?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * -84307.\nAnswer: -2444903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 11 - 25 - 2*u)*(-17*u + 5*u + 3*u)*(-25 + 25 + 37*u).\nAnswer: 666*u**3 - 6660*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2873130 + 21?\nAnswer: -287310b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.08245*63\nAnswer: 5.19435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 2 - 1 - u + (-43 - 43*u + 43)*(-2 + 2 + 3) in the form r + b*u and give b.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 0*y**2 + 0 + 0*y**5 + 3\/4*y**4 + 0*y**3 - 7\/30*y**6 - 13*y. Find the third derivative of k(c) wrt c.\nAnswer: -168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.1 < -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/24078 and 17 + (-1 - 10) + 4\/((-40)\/177).\nAnswer: 120390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = -4. Let l(m) = m**3 + 7*m**2 - 7*m + 11. Let u be l(-8). Suppose 20 = u*x + i*x. Solve s = -x*p + 15, -s = -2*p + 2*s - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-1))\/(1\/1). Suppose 7*k = 6*k - n. Let b be ((-4)\/(-22) - k) + (-14)\/77. Solve -a - 6 = -b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 110768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -568 + -1?\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*f - 2, -10*y = -3*f - 5*y + 1. Solve 4*z = s + z, -f*z = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -615*68050.\nAnswer: -41850750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/207 and 101\/4655476.\nAnswer: 41899284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 3*n**2 + 4*n + 5. Let d be h(-4). Let g(c) = -d + 5 + 0*c**2 + 15*c**2. Let m(r) = r. Calculate m(g(k)).\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*(0 + 6)*(-1)\/(-10). Let x(b) = b**3 + b**2 + 1. Let p(w) be the third derivative of -w**6\/12 - w**5\/15 - w**3 - 10*w**2. Give m*x(o) + p(o).\nAnswer: -4*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -98 and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-21)\/o)**(-6)\/(o*((o*o**36)\/o)\/o*o*o*(o\/o**(-5))\/o) assuming o is positive.\nAnswer: o**83","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 9. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 2. Suppose -8*q + 17 = 17. Suppose -15*j = -q*j - 60. Calculate d(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49610?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10858445599 + 21?\nAnswer: -10858445578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-350))\/(114\/91770).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153918 times 0.2?\nAnswer: 30783.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 3}. Give prob of picking 3 h.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34458673 and 43727?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/17 (b) 0.184 (c) -49 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -16 (b) -2 (c) 5 (d) -0.19 (e) -1 (f) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1175, 4807, 10901, 19457, 30475?\nAnswer: 43955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o - 8003 + 11686 = 0 for o.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021176569 to the power of 1\/2, to the nearest integer?\nAnswer: 31956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-4))\/((-1)\/(-2)). Let g be (-2)\/18 + -1 + b. Suppose 88185*y = 88190*y. Is g less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009092 to four dps.\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m - 12. Suppose 8*j = 344 - 136. Let k = m + j. What is the remainder when k is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1424\/9 + -158. Let x(a) = a**2 - 11*a - 39. Let r be x(-3). Find d, given that 0*d**2 + 2\/9*d**5 + 0 - y*d**4 + 0*d + 0*d**r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(-t + 4*t + 2*t) to the form k + a*t and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*j + 7 - 37 - 0. Let r(a) = 50*a**2 + 3*a - 4. Let b(y) = 51*y**2 + 2*y - 3. What is j*r(c) - 3*b(c)?\nAnswer: -53*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0 = 2. Let q(o) = -o**2 - o + 11. Let f be q(2). Put f, -4, s in descending order.\nAnswer: f, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 9 - 33. Suppose -5*l = -3 - w. Suppose -41 = -l*a - 2. Calculate the remainder when 25 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 850086378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 0.4, 598218, -4, -1.\nAnswer: -4, -1, 2\/17, 0.4, 598218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 150\/11, 73, -3, -0.5, 6.13 in decreasing order.\nAnswer: 73, 150\/11, 6.13, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from vmmvmv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82 - 246*j - 1011*j**3 - 82 - 32*j wrt j.\nAnswer: -6066*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 5*c + 2*c + c + 2*c - 7*c + (1 + 2 - 5)*(2*c + 0*c - c))*(1 - 34*c + 25*c + 1 + 2*c**2).\nAnswer: -14*c**3 + 63*c**2 - 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 624\/104*(5\/(-5))\/((-9)\/(-45)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*s + 60*s - 56*s.\nAnswer: -26*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10999203*j**3 + 1065374*j**2 + 2*j - 4 wrt j?\nAnswer: 65995218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 - z**4 + 0*z**4 + 2*z**4 + z**2 - z**2 + (0*z + 0*z - 2*z**3)*(-1 + 1 - 2*z) + 22 - 15*z**4 - 22 + (-2*z + 2*z - z)*(-3*z**3 + 5*z**3 - 4*z**3).\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -32 + 3 - 4*w - 28 + 7*w**2 - 5*w**2. What is the remainder when t(-16) is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0222 - 0. What is q rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*x - 181, 41 = 3*l - x - 109. Calculate the remainder when 82 is divided by l\/4 + 2\/(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 6*r + 41. Put 1, r, 4, 2 in descending order.\nAnswer: 4, 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10044 (base 9) to base 13.\nAnswer: 300a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3602256 and 37\/6.\nAnswer: 3602256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30.403 - -30.2. Let u = 1.358 - 1.65. Let j = f - u. What is j rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2241 - 2241.2. What is the closest to 0.4 in -2\/3, 0.3, j, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131 + 162. Let c(i) = -8*i**2 - 22*i**2 + h*i**2. Let t(s) = -14*s. What is t(c(p))?\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6 + (-41)\/123)\/((-28)\/140).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/25195107 and 1\/105?\nAnswer: 125975535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**4\/12 + 7*r**3\/6 + 2*r**2. Let m(i) = -8*i - 42. Let s be m(-6). Calculate h(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 247622 times -0.13\nAnswer: -32190.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 10. Let r be g(-6). Calculate the remainder when 18 is divided by 1\/r + (-63)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + 1 + sqrt(2057)).\nAnswer: -55*sqrt(17) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-9 - (43\/(-9) - (-32)\/(-144)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(48) + sqrt(48) + 1*sqrt(48) - sqrt(48).\nAnswer: 1 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -2 + 6 - -13 - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4700*c - 225. Let h(p) = 42*p - 2. Let v(i) = -2*d(i) + 225*h(i). Let l(s) = 30*s. Give v(l(w)).\nAnswer: 1500*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 239695850 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 5)*(-36*o**2 - 6*o + 19*o**2 + 2 + 28*o**2).\nAnswer: 77*o**2 - 42*o + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131111 (base 6) in base 2?\nAnswer: 1110010011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 8.2, 1\/34, -256, -0.4?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 346\/(-6))\/((-3)\/(-9)).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/3*4\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -48*c - 6. What is l(2)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/1*1\/(-3). Let k = -40 - -17. Let c = 24 + k. What is the biggest value in 4, -0.4, y, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/((-32)\/28)*-12 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/(2\/3). Suppose r + 0 = m, 4*i = r + 7. Let u = 158 - 156. Are i and u nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-30)\/20*(-8)\/(-40)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1262*r**2. Let w(x) = x**2. Determine w(l(p)).\nAnswer: 1592644*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*z - 16*z + 5*z + (2*z - 2*z - 3*z)*(-3 - 1 + 2) + 1 - 1 - 2*z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y + 23. Let z be c(-5). Suppose 5 = -s, 162 - 51 = 3*p - z*s. Suppose 4*d = 5*d - p. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/1511, 4, -4, 0.01, -0.2, 2\/7?\nAnswer: -1\/1511","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, p: 2, i: 4, e: 1, b: 6}. What is prob of picking 1 e and 2 i?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = v - 3018, 3*k - 14670 - 508 = -5*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2304 and 7\/2676?\nAnswer: 513792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*y + 128025 = -182*y + 90*y + 152658 for y.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 664 + -172. What is the remainder when w\/5 + 4\/(-10) is divided by -14 + (-513)\/(-36) + (-79)\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799901203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 11:58 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 511 and 512971.\nAnswer: 3590797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 61 = -3*q. Suppose -7 = 2*p + j, 3*p = p + 2*j - q. Sort -3, 1, p in ascending order.\nAnswer: p, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 60. Calculate the remainder when r is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpmmmmpmppmmmmmpmmmm. Give prob of sequence mpmp.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 333, 327, 315, 297, 273, 243, 207?\n\"Answer: -3*x**2 + 3*x + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98 and -18897.\nAnswer: -1851906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 1:18 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 2 - q**3 + 1\/24*q**4 + 0*q + 1\/60*q**5 - q**2. Factor a(n).\nAnswer: (n - 2)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -338769 (base 11) to base 16\nAnswer: -83816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -24. Let t = 14 + g. Determine x, given that 0*x + 2*x + 3*x**2 - t*x**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3242 - -3265. What is the remainder when 574 is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1261199*r*w + 3667933*r wrt w?\nAnswer: -1261199*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24a3 - -3232?\nAnswer: 83a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44014 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419*h + 416*h + 238*h**3 - 251*h**3 + 896*h**3.\nAnswer: 883*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -0.07351.\nAnswer: 4.92649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c + 29. Give a(23).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, m: 4, r: 11}. What is prob of picking 2 m?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(7) + -1)**2 + sqrt(3) + 2*sqrt(192).\nAnswer: 4 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p**3\/7 + 16*p**2 - 10*p + 12\/7 = 0. What is p?\nAnswer: 1\/3, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + ((17 - 0) + 139 + -151 - -16).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + -76. Let m = h + 117. Which is the nearest to -2\/7? (a) -1 (b) 9 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 34*q. Let s(g) = 11 - 3 + g - 8 + 2*g. Give s(z(h)).\nAnswer: 6*h**2 - 102*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -216437.995 rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -639.214\nAnswer: 255.6856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*d**2*p**3 - 1157*d**2*p**2 - 34*p**3 wrt p?\nAnswer: -66*d**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-72)\/(-30))\/((-3)\/310). Let h = l - -426. List the prime factors of h\/26 - (-20)\/130.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 2 = 2*c - 2*j, -j = c - 12. Solve -5*k = -2*x - c, 0*x + 8 = 2*k - 2*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 11*k**2 + 11*k + 7. Let w be o(-10). Let f be 35\/(-5) + (0 - -1)*w. List the prime factors of (-75)\/f + (-3)\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -7 - -3) + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/7 in -0.4, -3, -2\/13, -12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y + 96. Calculate v(21).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 = -4. Suppose -t*z - 12 = 16. What is the lowest common multiple of (1 + z\/4)\/(13\/(-52)) and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/5)*z*z**(-17))\/((z*z*((z*z**(-5))\/z)\/z*z)\/z*z*z*z**(-3)))**10 assuming z is positive.\nAnswer: z**(-116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - -5*(sqrt(320) + (sqrt(320) - sqrt(320)*2) + sqrt(320)))*3)**2.\nAnswer: 103680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*u + 4*s + 12, 5*u - 21 = 4*s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 9. Let v be a\/(-3)*12\/4. Let z(w) = -10*w**3 - w. What is the tens digit of z(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-6*(sqrt(832) + sqrt(832) + 0))**2 - (-5 + (-2 + sqrt(832))**2)).\nAnswer: 32*sqrt(13) + 118975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 2:26 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + (5 - 1) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 7 + 0*i**3 + 0*i**7 - 3\/28*i**8 + 0*i**2 + 3*i - 8\/3*i**4 + 0*i**5 + 0*i**6. Find the third derivative of r(p) wrt p.\nAnswer: -720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 13*x**4\/8 - 15*x**3 + 33*x**2. List the prime factors of o(14).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -16 (b) -3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21\/5 + 68\/15. Let i(h) = 8*h**2 + 25*h + 42. Let b(y) = 3*y**2 + 8*y + 14. Let t(f) = -11*b(f) + 4*i(f). Let j be t(13). Is j < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.87 smaller than 0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 6*y**2 + 9*y - 2. Let q be k(-3). Does 26 divide (-653)\/(-5) + q*3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1697 - 219 = 0. Suppose 0*i + 3*i - 273 = -3*z, i + l = 5*z. Suppose 4*c = -c + z. Calculate the remainder when c is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2425826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 3) in base 4?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n + 19*n + 30*n)*(4 - 4*n - 4) + 12*n - 12*n - 4*n**2 + (-3*n + 0*n + 2*n)*(4*n - n - 5*n).\nAnswer: -166*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16973595 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 9*v - 58. Suppose -14*z = -4*z - 140. What is the remainder when p(z) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -812395566513 - -812396541669.000002. Let x = b + -975153. Let g = 3 - x. What is g rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-14 - (-42 - -35)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-228)\/(-10) + 68\/(-85). Suppose -v*q + 4*q = -360. What is the highest common factor of 140 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*-11738503.\nAnswer: -704310.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 9) to base 13\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 357491?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) - (sqrt(72) - (sqrt(72) + sqrt(72)*-1 + sqrt(72)))*-3)*3)\/(((sqrt(441) - (sqrt(441) + sqrt(441)*1*2 + sqrt(441))) + sqrt(441))*-2)*6)**2.\nAnswer: 162\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -431, -804, -1179, -1556, -1935, -2316?\nAnswer: -2699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1326 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 3. Let x(r) = 8*r**2 - 6*r - 11. Let p be x(5). Let h = 162 - p. Determine v(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*y**2 + 22*y - 127*y**2 + 13*y.\nAnswer: 2*y**2 + 35*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*x**2 + 6 - 12 + 6 + 31*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 92611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5193695.\nAnswer: 5, 13, 79903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 146691589921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - z + 31 = -5*z, 0 = 5*b + 2*z + 23. Let c be (65\/1 - b) + -3. Calculate the highest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 3*m + 5. Let i(c) = c + 2. Let o be i(4). Let w be b(o). Let j = -53\/4 - w. Which is bigger: j or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = y - 2462 + 942, 2*y = -2*n + 600. Let h = n + -291. Let t(g) = 2*g**2 + 3*g + 5. Let u(w) = 6*w**2 + 8*w + 14. Determine h*t(i) - 5*u(i).\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -25, -65, -141, -265, -449?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 13. Let k = -16 - -22. Suppose 8 = 2*h - k. Is v(h) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3780*h**4 + 271255*h**3 - 468755*h**2 + 203380*h - 2100 = 0.\nAnswer: 2\/189, 3\/4, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 1:46 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 13. Let u = 1638.99 - 1627. Let q = u + 0.01. Is k at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 72. Suppose 320 = -v*x + 36*x. What is the greatest common divisor of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1252 + -831. Let l = 2664 - z. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.383 + -184.383. Is -1 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**3 - 7*n**2 - 1473*n + 715729 wrt n?\nAnswer: 3*n**2 - 14*n - 1473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1357*s**2 + 276*s?\nAnswer: -2714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 e, and 1 z when three letters picked without replacement from brbrebrbezetebrwzzwz?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3\/5 + 1297648*m**2\/5 - 2595302*m\/5 + 1297652\/5 = 0?\nAnswer: -648826, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 573.1 + -574. What is the nearest to g in -5, 5, -0.4, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from flbjlnb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*a - 66*a - 99*a)*(0 + 5 - 4) + 4*a + 0*a - a.\nAnswer: -99*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5387 - -21800. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1539\/44 - 140\/11. Let n = d - 22. Suppose -y + 1 = -3*f, f - 30 = 4*y + 6*f. Which is the smallest value? (a) y (b) n (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i. Let x(c) be the first derivative of 3*c**2\/2 - 1061*c + 12398. What is f(x(y))?\nAnswer: 6*y - 2122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 397\/(-3)*(-3)\/(-4). Let m(p) = 5*p**2 + 11*p + 64. Let l be m(-4). Let z = u + l. Which is the closest to z? (a) 1\/2 (b) 2\/15 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 384*p + 110. List the prime factors of q(2).\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 = -13*x + 878. What is the remainder when 245 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 62*a**2 + 1 - 3*a**3 - 57*a**2 + 2 - 4 + 8*a - 4. Let z(u) = -u**2 - u + 1. What is -i(k) - 5*z(k)?\nAnswer: 3*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 145*g**3 - 69*g + 63 - 58 + 9*g**2 - 280*g**3 + 136*g**3. What is y(-14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37024105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2 + sqrt(11) + 3 - (sqrt(11) - (2 + -1*sqrt(11)))))**2 + -4.\nAnswer: -8*sqrt(11) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -23 (b) 30915 (c) 0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*((-2)\/(-5) + -1). Let b(c) = c**2 - 19*c - 120. Let d be b(24). Solve d = -h + a*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26262183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1457125.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + 0*o + 6*o + (1 - 3 + 4)*(2*o - 2*o + 2*o) - 2*o + 6*o + 0 - 1 as y*o + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1215 by -135.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.9419 to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -223*g + 219*g + 24. Let f(y) = 2*y**2 + 6*y - 4. Let m(h) = 2*h**2 + 7*h - 4. What is g*m(t) - 7*f(t)?\nAnswer: -2*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 15592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 3:14 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.09 (b) 1\/7 (c) 746301 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5 + 240*o**4 + 3338*o**3 + 15736*o**2 + 29664*o + 17024 = 0.\nAnswer: -4, -1, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9*4\/(-6) - 2) + -8609. What is q rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 52, 72, 112, 178, 276, 412?\n\"Answer: y**3 + 4*y**2 + y + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f - 1 = 0. Is f at least -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -23) + 3 + -19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7592851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1357 + 1546. Calculate the remainder when t is divided by 53.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 13. Let o = 48 + w. List the prime factors of o.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25449.\nAnswer: 3, 17, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m*r**2*x + 2*m*r**2 - 2*m*r - 2254*m*x - 2*r**2*x + 2*r**2 - 1450 with respect to x.\nAnswer: -3*m*r**2 - 2254*m - 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -5*o**3\/3 - 55. Let s(n) be the second derivative of n**3\/6 - n. Calculate s(d(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/3 - 28*r**3\/3 = 0. What is r?\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -852, 0.5, -1, -17, 0 in descending order.\nAnswer: 0.5, 0, -0.2, -1, -17, -852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*h**3 - 7*h**3 - 565*h**2 + 565*h**2.\nAnswer: 63*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39542707*v**3 + 16*v**2 + 171029 wrt v.\nAnswer: -237256242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d + 21*d + 0*d + 25*d.\nAnswer: 70*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4628866 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -452 + 694. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/4 + 117989*k\/2 - 13921404121\/4 = 0. What is k?\nAnswer: 117989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -943 + 947. Which is the third smallest value? (a) 0.08 (b) 2 (c) -0.2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -j - 3762. Is j a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/2*(-12)\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -115*m + 61. Let u be p(-11). Suppose 72*z - u = 33*z. Let o = 5 + 8. What is the remainder when z is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 188*d**3 - 1 + 1.\nAnswer: 188*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 7*p**4\/3 - p**2\/2 - 2*p. Let i(y) = -83*y - 5. Let o(d) = -50*d - 3. Let g(t) = -3*i(t) + 5*o(t). Give g(c(k)).\nAnswer: -28*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.108 - 72.608. Let z = k - -73. Which is the nearest to 2? (a) z (b) -1\/11 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50926.62 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1072\/1617 - -2\/539. Factor 16\/3*h + 32\/3 + w*h**2.\nAnswer: 2*(h + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42354 - -17420?\nAnswer: -22734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -12*l + 183. Let q be m(15). Suppose 3*i = 5*u + 26, -q*i + 4*i = 3*u + 14. What is the lowest common multiple of 150 and i?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/6)\/((-26)\/39)*-10. Let u be 2500*((-18424)\/s + -2). Round u to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 3 - 3 + 3*g**2 - 5 - 2*g**2 - g**2 + 9*g**2 + (4*g**2 + g**2 - 3*g**2)*(2 + 4 - 5) + g**2 - 2 + 2 to the form x + s*g + r*g**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(0 + (-6)\/4). Let w(x) = -4*x - 13. Is w(a) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(105\/23140) + (-3)\/(-9). What is the second derivative of -1604*f - 2 - 17*f**2 + x*f + 4 wrt f?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12701*n - 975*n = 156668 - 1376172 for n.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 - 54. What is the remainder when v is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -16.7. Let j = -0.04 + -10.96. Let b = j - -7. What is the nearest to 2 in l, b, -3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1824113375 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69731284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -461. Let i(l) = -66. Let n(s) = -f(s) + 7*i(s). Let u(c) be the first derivative of 4\/3*c**3 + 16*c + 0*c**2 - 1. What is 16*n(j) + u(j)?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -17, -20, -15, -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*q + 16 + 9, 0 = 2*q - 4*v + 10. Let s be q\/12*8\/(-2). Let g be 3 - -42*s\/(-40). Which is smaller: -3 or g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -23, -7, 25, 79, 161?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + a**2 + 9. Let o be d(0). Suppose -20 + 57 = -5*v - z, -o = 3*v + 5*z. Let y = 18 + v. What is the remainder when 26 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165200 and 4224400?\nAnswer: 29570800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/413 (b) -0.3 (c) -5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1591 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-14))\/(m*m**1))\/(m**(2\/5)\/(m*m**(10\/3)*m)))**(3\/16) assuming m is positive.\nAnswer: m**(269\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6)\/((-21)\/(-9)). Let p = 3 - 6. What is the second smallest value in l, -0.1, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 27*c**3 + 4*c**2 - 4*c + 2. Let m(s) = 52*s**3 + 8*s**2 - 7*s + 4. Let q(k) = 7*i(k) - 4*m(k). Let w(h) = -h**2. Determine -q(t) + 4*w(t).\nAnswer: 19*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 0*y - 1\/6*y**3 - 1\/6*y**4 + 1\/6*y**5 + 0 + 1\/6*y**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22252 + 22310. Solve 38 - n = 20*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 + (-26 - (11 - (15 + -6)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4283114 take away -1?\nAnswer: 4283115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2181 - -2180. Which is bigger: y or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79380935 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 264, 524, 784, 1044, 1304?\n\"Answer: 260*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 4*k**2 - k**2. Let o(f) = 5. Let m(u) = u + 4. Let b = 1 + -5. Let q(z) = b*o(z) + 5*m(z). Calculate q(c(i)).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 17*n**3\/3 - 1. Let g(i) be the third derivative of i**4\/24 + 444*i**2. Give x(g(t)).\nAnswer: 17*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/30 - 844\/10. Let x be ((-3)\/(-6))\/(3\/p). Let t = x + 20. Solve -t*s = -3*s, -4*s - 12 = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**3 + 6*j**2 + 5*j - 5. Let m(x) = 7 + 7*x**3 + 1 - 7*x**2 - 6*x - 2. Let y = 85 - 79. Calculate y*i(t) + 5*m(t).\nAnswer: -t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 368 and 13176539.\nAnswer: 210824624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*sqrt(891) - sqrt(891)).\nAnswer: -108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -309441.7 and -49052.\nAnswer: -358493.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8640*d**4 - 1042*d**2 - 121988082*d.\nAnswer: 103680*d**2 - 2084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 570\/203 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 6*f + 5*k - 2, 0 = f - k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14082483709313 from -1.\nAnswer: -14082483709314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 631908 and 12.\nAnswer: 631908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = b. Is 18\/b*(-5)\/3 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16618489*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 1885352*h + 491804388.\nAnswer: 4*(h - 471077)*(h - 261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*sqrt(200).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 326 - 273. Put 3, o, 5 in ascending order.\nAnswer: 3, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 608, 598, 590, 584, 580, 578?\n\"Answer: z**2 - 13*z + 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-5793 - -5776 - ((1 - 0) + -57)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12230 divided by -2446.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -56 - -3 - (3 + -1)\/(-2). Let c = -48 - i. Let j(v) = 5*v + 7. Is j(c) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1536.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 7094 and 49661\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**6 - 229881*n**5 - 4*n**2 - 4*n + 28278 wrt n?\nAnswer: -120*n**3 - 13792860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.571238 to four dps.\nAnswer: 0.5712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16587.1l?\nAnswer: 16587100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 12*w. Solve 3*h + 2*b + 5 + 5 = w, -3*h = b + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7798121?\nAnswer: 17, 97, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3))**(-25) assuming y is positive.\nAnswer: y**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**2. Let w(r) = 7*r**2 + 4*r - 4. Let z(y) = -133*y**2 - 77*y + 77. Let b(c) = 77*w(c) + 4*z(c). What is n(b(a))?\nAnswer: -196*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 - (-3 + -1 + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 + p**2 + 6*p + 5. Let o(d) = 5*d**3 - d**2 - 13*d - 10. Let v(b) = -3*o(b) - 7*r(b). Let j = 36 - 40. What is the units digit of v(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 - 205. Let v = 138 + w. Solve -v = -x + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 + 46 - 43 + 2*k**2 as i*k + c*k**2 + l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 130065\/(-2070) + (-57)\/(-1)?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k**2 + 249298*k - 249298*k.\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -39*m**3 - 4*m**2 - 4. Let u(g) = -196*g**3 - 21*g**2 - 21. What is 4*u(k) - 21*y(k)?\nAnswer: 35*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 356\/16467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2529, -2521, -2513, -2505, -2497?\n\"Answer: 8*b - 2537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*z + 77 + 103 = -12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/(-14)*((-40)\/6 + 2). Let v be 6\/(-9) - (512\/r + 0). Suppose 0 = -3*w + 4*d + 47, 2*d + 13 + v = 3*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7536, -30157, -67854, -120627, -188476, -271401, -369402?\n\"Answer: -7538*h**2 - 7*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z**2 - 719792*z + 1439586*z - 719794*z.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*v - 4*v, -12 = -2*i - 4*v. Is -74*(-11)\/22*(i + 0) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-seven halves of a gram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 399\/2509 + -1\/193. What is the closest to 1 in -1, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -6483042?\nAnswer: 6483044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 23*v - 32. Calculate b(6).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176881, -176884, -176887, -176890, -176893, -176896?\nAnswer: -176899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 15*b. Let q(h) = 3*h**2 - 6*h. Let t(u) = -6*u**2 + 13*u. Let i(k) = -13*q(k) - 6*t(k). Determine i(r(l)).\nAnswer: -675*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -0.158?\nAnswer: 4.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0253 (b) 4 (c) 0.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -945900 and -21755685\/23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*t + 15 = 0, -2*t = 7*l - 8*l - 13 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.3 - 0.7. Let x(f) = -f - 14. Let r be x(-11). Sort r, c, 2\/7 in decreasing order.\nAnswer: 2\/7, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*h + 34, 3*h + 6*o + 25 = o. Let p = h + 13. Let k(s) = -s + 1. Let u be k(-3). Sort -5, u, p in ascending order.\nAnswer: -5, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6024773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*2\/(-81))\/(2\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 775474*4\nAnswer: 3101896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.947344g in nanograms?\nAnswer: 947344000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**2. Let w(h) = h**2 - 12*h + 10. Let a be w(10). Let y = a - -9. Give c(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-1))\/(14\/(-3)). Let b = -0.3711 + 0.4711. What is the nearest to b in t, -0.02, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5218851751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11085642 and -1.2.\nAnswer: -11085643.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 34*r - 55. Let g be j(19). Suppose 25*n = g*n - 3*o + 32, -5*n - 3*o + 37 = 0. Solve -d = n*f + 12, 0 = f - 4*f - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - 11 - 23) + (-2 - (-13 - (0 - 2))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10882.75014 rounded to the nearest ten?\nAnswer: 10880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*1)\/(9\/45). Let a(z) = -z**3 - 5*z**2 - 2*z. Let r be a(j). Which is greater: r or 9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**3 - 276*n**2 + 2231*n - 72. Calculate q(9).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.23 (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1255*o + 395312. What is v(-315)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 12:22 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6044?\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 3*r. Suppose r = -4*l - 4*t + 44, -2*t = 2*l - 4*l + 38. Let u be (l\/9)\/((-1)\/(-63)). Calculate the greatest common factor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(0 + (-1)\/(-38)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 6876460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v + 8 = w, -3*w = -2*v + 21. What is the greatest common factor of 45 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 986958*r**5 - 767574*r**2 wrt r.\nAnswer: 59217480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y = -3*v + 15, 5*y + 3*v - 27 = 0. Suppose 3*f = -y*f + 120. Calculate the smallest common multiple of 6 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2\/5 + 260*b - 1296\/5 = 0. What is b?\nAnswer: 1, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 - 3)*(-2*z + 12*z**2 - 19*z**2 + 1 + 8*z**2) in the form p*z + d*z**2 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 e when three letters picked without replacement from {u: 1, e: 9, a: 1, y: 2, p: 6}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fce when three letters picked without replacement from eeccefccece?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151466 is divided by 3912?\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n - 3*j - 966 = 0, 0 = 2*j - 6. Let k be n\/45 + (-2)\/6. Solve 4*i - k*a = 16, -4*a + 1 = -3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*f + 68 = 132*f. Let v(r) = 4*r - 9 + 1 + 0. Let l be v(f). Solve -5*y - 7 = l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 817200 and 1260.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/3 (b) -33 (c) 883 (d) -2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 37 = 13. Suppose r = 4*p, -9 = 4*w - 3*w - 5*p. Let x(h) = -4*h - 5*h - 4 + 5. What is x(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1935 + 2110. Let a = -319 + 151. Calculate the remainder when l is divided by a\/36*90\/(-7).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 5:54 AM?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7977062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 - 76*a + 2029 - 2029 - 2*a**2 - 290*a to m + o*a**2 + u*a**3 + l*a and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, w: 8, n: 5, k: 5}. Give prob of picking 1 n, 1 o, and 1 w.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x - 1. Let u(g) = -17*g - 2. Let l(k) = -11*m(k) + 6*u(k). Let w(f) = f - 15. Let v be w(14). List the prime factors of l(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21801761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*k - 27. Suppose -2 = -m + k. Is (-56)\/(-10) - m\/(-20) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b4d60 (base 14) in base 8?\nAnswer: 1523730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -3*p - 86. Calculate the remainder when 96 is divided by ((-142)\/(-7) - 0) + 16\/p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -122322?\nAnswer: -122332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 402\/14 + (-42)\/(-147). Suppose 0 = -y + 119 - m. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 279a3096?\nAnswer: 279a30a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/((-36)\/10*1)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1221753 is divided by 1359.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6 (b) 0 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 9*b + 1. Let n be f(-8). Calculate the lowest common multiple of 216\/14 + (-4)\/n and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q - 4. Let c be m(-3). Let r be (1\/(-2))\/(c\/(-16)). Let v = r + 3. What is the greatest common factor of 77 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12*4*(-6)\/(-48) - -10. Suppose 4*k = 2*f - 474, 2*f - k = -4*k + 467. Suppose 2*i = y*t - 456, -340 = -5*t + 5*i + f. List the prime factors of t.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 127*r**3 + 2*r**2 + 2*r - 4. What is c(1)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 0*v**2 - 2*v**3)*(8 + 3 + 0).\nAnswer: -22*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 + x**3 + 0*x**3 + (2*x + 3*x - 4*x)*(3 - x**2 - 3) - 3*x**3 + 4*x**3 + 0*x**3 + 5*x + 6*x**3 + 343 - 343.\nAnswer: 5*x**3 + 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00114 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 15 = -2*h, -2*h - 3*i = -i. Let s be 2\/15 + (-9016)\/345. Let z = 28 + s. Solve v + 0*k = k + 4, z*k + 8 = h*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 201 + -169. Solve k = -2*f + 10*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 11:12 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02742 - -1937.77258. Round t to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 3*c + 5. Let g be a(5). Let w be ((-6)\/2)\/(g - -4). Solve 2*v - 2*b + 1 + w = 0, 4*b + 8 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rffvrrqrqqfrqqf. Give prob of picking 1 q and 2 r.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -100*q**3 - 2*q**2 + 3*q + 5. Is g(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 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: Expand (-z**4 + 0*z + 0*z)*(-235*z + 234*z + 11101 + 1530).\nAnswer: z**5 - 12631*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100100010 + -101111111?\nAnswer: 1001110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10737972 less than 55088?\nAnswer: -10682884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btj when three letters picked without replacement from wjbtw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*g - 11 = 2*k, -5*g - 25 = 0. Let b be (4 + -2)*((-110)\/k - 2). Is 51 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 6:10 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 656*c - 5 - 336*c + 4*c**2 + 15 - 322*c. Let t(m) = -3*m**2 + m - 11. Give 3*t(i) + 2*v(i).\nAnswer: -i**2 - i - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -14. Suppose -130 = 26*m - 0*m. Put 1, m, y in decreasing order.\nAnswer: y, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-25) - 6\/(-10). Let n be 2\/(-2)*(-10 - -4). Let k(d) = d**2 - 5*d - 1. Let u be k(n). Sort i, u, 3 in descending order.\nAnswer: u, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 533\/2 or -826?\nAnswer: 533\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 70*n**2 - 37*n - 1864. Suppose 80 = -y + 5*y. Calculate the least common multiple of y and f(69).\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3012, -1742, 376, 3342?\nAnswer: 7156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -237 - -251. Suppose 2*t = 4*w + 522, -17*w = 5*t - q*w - 1240. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26691195 and 8523?\nAnswer: 80073585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvmlvn. What is prob of picking 2 v and 2 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000965204 rounded to six decimal places?\nAnswer: -0.000965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.51986s to minutes.\nAnswer: 0.725331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 2, l: 5, t: 2, q: 1, a: 1}. Give prob of picking 2 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(s**3 + 0*s**2 + 0*s**2 + (2*s**3 + s**3 - 4*s**3)*(0 - 2 + 0) + 0*s**2 + 2*s**3 + 0*s**2).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 1, l: 1, x: 2}. What is prob of sequence xx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 790 - 788. Suppose -j*c + 1 - 5 = -4*t, 2 = -5*t - c. Solve t = -4*l + 4*x + x + 10, -3*l = 4*x + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 9:17 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-27135947*q + 27135947*q - 2570*q**3).\nAnswer: -5140*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 101? (a) -5 (b) 2\/9 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 4*z + 3*z)*(15*z**2 + 20*z**2 - z - 13*z**2 + (-2*z + 1 - 1)*(0 + 2*z + 0)).\nAnswer: 54*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**3\/3 - 192. Let o(r) = 11*r**2 - 75. Determine o(z(w)).\nAnswer: 11*w**4 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 46*r + 27*r - 3570 = 88*r for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12\/11, -2\/19, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9753 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in -6, 0.06, 183\/2, -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (32\/110)\/(11\/10) and (118\/5)\/((-393)\/30 + 294\/(-2940))?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 5:10 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3737200 rounded to the nearest 10000?\nAnswer: -3740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/37 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46529 = -31*w + 15657. List the prime factors of w.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-99) - ((-26082)\/154)\/(-9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437696.\nAnswer: 2, 7, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -27*((-15)\/(-9) - 2). Solve 3\/2 + 15\/2*w**2 - a*w = 0.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 0.4, 0, -17\/7, 1.25, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 7 = -4*u + 5, -x = -5*u + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4) + (-5 + -5 - (-33 + 15)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*k - 180, 9*m + 2*k = 4*m + 225. Suppose 2*s = -5*l + m, -5 = 2*s - 2*l - 15. Solve -5*w + 0*w = 5*y + s, 0 = 4*y + 3*w + 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4768, 5, 0, -38\/5?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**4 + q**3 + 3*q**2 + 83*q - 86*q - 3*q**3 to o*q**4 + t*q + y + l*q**3 + b*q**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 9189 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 f when three letters picked without replacement from pppipppipnbfnn?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5040, -3348, 1256, 10230, 25032, 47120, 77952, 118986?\nAnswer: 171680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 5*h**3\/12 - 55*h**2\/8 - 65*h\/2 + 2201. Factor a(y).\nAnswer: 5*(y - 13)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4082 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 837? (a) -7 (b) 2\/9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60244?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 8*o**2 + 3*o + 9. Give v(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -60*r**2 + 159*r + 7. What is w(2)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/35)\/(92\/2990)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4667864261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10959*s - 31620 = 10939*s. Calculate the remainder when s is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -116\/37?\nAnswer: -116\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 160 - 88. Suppose -11*y + a = -5*y. Solve 5*r = -15, -2*r + 0 = o + y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 a when three letters picked without replacement from aaaaddadaaa?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 38347373.\nAnswer: -38347373.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**5\/150 - s**4\/45 + 7*s**3\/45 - 4*s**2\/15 - 1484*s. Factor w(l).\nAnswer: -2*(l - 1)**2*(l + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -268.12 or 2.3?\nAnswer: -268.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -229577*v**2*y*z + 2*v**2*z - 5518*v*z**2 - y*z**2 + 4*y + 1148*z wrt y.\nAnswer: -229577*v**2*z - z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2*-1 - -7)*1. Let l(s) be the first derivative of s**4\/4 - 4*s**3\/3 - 3*s**2\/2 - 3*s + 3. What is the units digit of l(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366229080 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.53 - -0.08. Round c to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64536266+14223\nAnswer: 64550489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2394 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*r + 2, -4*r = -5*r - 5. Solve -m*c - 12 = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(30) + (sqrt(60) - sqrt(540) - sqrt(60) - sqrt(60))\/sqrt(2))*4)\/(4*-1*-1*sqrt(10)*-1).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -2768276\/59?\nAnswer: -2768276\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 34 (b) 1\/3 (c) 1 (d) 1\/8 (e) 2\/243 (f) 13.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -2. Suppose 2*n + 4 = o. Solve -n*f + 4 = -4*c, 2*f + 2*f = -4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 11, -139, -291, -445?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 2*i + 1. Let k(r) = -11484*r**3 - 15312*r + 7656. Give -k(o) + 7656*z(o).\nAnswer: 3828*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1417069?\nAnswer: 17, 83357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5852 + 10676. What are the prime factors of n?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5 - 792*a**4 - 9777*a**3 + 3168*a**2 + 39156*a = 0. Calculate a.\nAnswer: -251, -13, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 4, c: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1385020 is divided by 913.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 287, 196, 1, -346, -893?\n\"Answer: -8*q**3 - 4*q**2 - 23*q + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 0*v**2 + 0*v**3 + 0 - v**4 - 7\/30*v**6 + 0*v**5 - 2*v. Find the third derivative of z(a) wrt a.\nAnswer: -168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulfluliulfululll. Give prob of picking 1 f, 1 l, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18571249 divided by 47741?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:19 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**8\/6720 - 3*w**5\/40 + w**4\/12 + 10*w**2. Let r(n) be the second derivative of y(n). Differentiate r(u) wrt u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2831, -2841, -2873, -2939, -3051, -3221?\n\"Answer: -2*t**3 + t**2 + t - 2831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -14*n**5\/9 - 142304*n**4\/3 - 1084966346*n**3\/3 - 5578755332*n**2\/9 - 154946792*n + 103306896 = 0.\nAnswer: -15246, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 d, and 1 m when four letters picked without replacement from {d: 1, g: 2, e: 3, m: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29460548*a**2 - 2162973*a?\nAnswer: -58921096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 4308.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, e: 2, k: 3, f: 4}. Give prob of picking 1 f, 2 e, and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/15)\/b**(-2\/7)*(b**1)**(-3\/2) assuming b is positive.\nAnswer: b**(-227\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3*z - 2*z)*(4*z**2 + z**2 - 2*z**2)*(8122 + 353*z**2 - 8122).\nAnswer: 2118*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -19\/28723 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a69 - 10?\nAnswer: -7a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 3*p**5\/20 + 2*p**3\/3 + 12*p. Find the second derivative of v(s) wrt s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from zzzzkhhhzhkfkhzkhkk?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 81 = u. Let z = -25 + u. Suppose 4*p + 3*s - 46803 = 0, z*p + s - 23401 = -0*p. Round p to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 + 13*f**2 - 18*f**2 - 2*f**3 + 7*f**2 - 2 + f to the form a*f**3 + m*f**4 + o + y*f**2 + b*f and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011111 + -10011000101?\nAnswer: -11011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 55?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15461820131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 33 - 7 - 7*h**3 - 9*h**3 - 26.\nAnswer: -16*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 9*r**2 - 7*r + 9. Let o be u(-5). Let i = -202 - o. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 19. Let j = -8.99968 - m. Round j to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53909 and 115103?\nAnswer: 4258811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (311256 + 4175*q**2 - 311256)*(-12*q + 8*q**2 + 12*q).\nAnswer: 33400*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1641\/104 - -125\/8. What is the nearest to -2\/5 in 2, g, 0, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184, -328, -472?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0. Let w = 499.391 + -499.691. Which is the nearest to t? (a) w (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*y - 28 = -97, 3*v - y - 61 = 0. Suppose -2*a + 9 = -v. What is the remainder when 27 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 5)*(-2*m - 12 + 12)*(5*m**2 + 22*m**2 + 14*m**2) + m**3 + 4*m - 4*m.\nAnswer: 247*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:11 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -13, -0.11, 0.3, -1\/3, -5 in descending order.\nAnswer: 0.3, -0.11, -1\/3, -5, -13, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -0.3 (c) 581 (d) -1\/7 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 7, -4, 2, 44 in ascending order.\nAnswer: -56, -4, 2, 7, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k. Let f(i) = -7*i**2 + 4*i**2 + 0*i**2. Determine f(y(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -115 + -6b?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/93? (a) -0.3 (b) 0.5 (c) 330 (d) -8.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**4*t + 90*c*t + t + 38 wrt c.\nAnswer: 8*c**3*t + 90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssswtutttv. What is prob of sequence stst?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p + 4. Let u(r) = r + 1. Let t(s) = -2*c(s) + 6*u(s). Let x be t(2). Solve -2*m = a + 6, 0*a - 2*a - x = -m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*r - 473*r - 117*r = 10192 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4596 (b) 2\/127 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/3890 and 97\/890.\nAnswer: 346210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 - -1422212?\nAnswer: 1422130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + v + 16 = 4*f, 3*f - 16 = -v. Let b be 27\/7 + f\/28. Find the second derivative of 2*q - 26*q**b + 15*q**4 + 9*q**4 wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -449, -1759, -3929, -6959?\n\"Answer: -430*q**2 - 20*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1409 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 25, 361 = 3*b - 2*t - 43. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1157 + 1156.8949. Let q = -3.1051 - o. Which is the second smallest value? (a) -2 (b) q (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3018 + 2576. Sort l, -2, 0 in increasing order.\nAnswer: l, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 17 = 11*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42334649*i**3 - 6757324 wrt i?\nAnswer: 127003947*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5992088 rounded to 2 dps?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 15*s - 4 - 58270*s**2 + 2.\nAnswer: -58270*s**2 - 9*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5995 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 9 = l - 4*m, -5*l = -5*m + 15. Let d be (l\/(-5))\/((-3)\/10). What is the remainder when 31 is divided by ((-11)\/(-2))\/((-2)\/d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-10) + 0 + 1. Let i(j) = 26*j + h - 5 - j**2 - 22*j. What is i(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*q - q + z, -15 = -5*z. Let k be 0*((-1)\/(-4) + q\/(-8)). Let j be (-5)\/2 + (-1)\/(-2). Sort k, 3, j in ascending order.\nAnswer: j, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-1104)\/528*-33).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 4*y - 28, -93887 = -o + y - 93882 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 38752755 to the nearest ten thousand.\nAnswer: 38750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128 + 194. Let g = r + -53. Suppose 248 = g*o - 9*o. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -6\/7, 68980?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 300 = 48. Solve 4*m - o = -2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.96468 hours to nanoseconds.\nAnswer: 43072848000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 54 = -m. Let u = -20 + m. Let v be (-3 + -2)\/(u\/14). Round v to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*s - 221*s + 138*s + 905*s.\nAnswer: 1279*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 6:56 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1367735 and 2465.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 4*b + 25 - 22, -20*b - 16 = 4*v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394 + 3413 = 3*s. Let b be (-1 + 5)*(-147 + -2). Let r = s + b. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + h + 2. Let r be f(0). Let p be (14 - 17) + (0 - (-6)\/(-3)). Sort -1, r, p.\nAnswer: p, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24 - 7\/((-7)\/(-2)). Suppose -x = -3*l - 7. Suppose 0*f = l*f - 1370. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5*sqrt(187)*2 - sqrt(187)))\/(sqrt(88)\/(2*sqrt(392))).\nAnswer: -616*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z. Let w be 1824\/(-24) + (1 - 1). Let i = w + 78. Let o(x) = x**3 + x**2 - 2*x - 2. Let m be o(i). Calculate v(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 87262 + 5?\nAnswer: 87267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -14*v + 19*v. Let w(h) = h**3 - 32*h**2 + 2*h - 20. Calculate the remainder when 125 is divided by w(v).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 65643, 65557, 65425, 65223, 64927?\n\"Answer: -4*y**3 + y**2 - 61*y + 65707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**3)\/v*v)**41\/(v**(2\/5))**7 assuming v is positive.\nAnswer: v**(1011\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 10*b**2 - 75*b + 131. Let n(g) = -22*g**2 + 151*g - 263. Let i(k) = 3*n(k) + 7*x(k). Factor i(h).\nAnswer: 4*(h - 16)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from rrryeyxzxruu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, a: 1, p: 1, v: 1, w: 1, y: 2}. What is prob of sequence wvyb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*d = 47*d + 406 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 x when four letters picked without replacement from {l: 4, n: 1, x: 6}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*j**2 + 4*j + 0.\nAnswer: -2*j*(j - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001041099413 rounded to five decimal places?\nAnswer: -0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w\/w**(-15)))**(-38)\/(w**14)**(-12\/19) assuming w is positive.\nAnswer: w**(10998\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33183 and 1?\nAnswer: 33183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.465 + -0.0821. Let y = 10.44 - l. What is y rounded to 3 decimal places?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 155, 286, 417, 548, 679?\n\"Answer: 131*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 1)*(-72)\/(-8). Factor -o - 21*z - 3*z**3 - 7*z**2 - 11*z**2 + 2*z**2 - 9*z**2 + 10*z**2.\nAnswer: -3*(z + 1)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/110 and 19\/76098?\nAnswer: 380490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 343770101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 97, 12.\nAnswer: -7, 12, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m, -5*l - m = -40. Let j be (l\/16)\/((-2)\/(-8)). Suppose j*s + 0*h - 2*h - 22 = 0, 5*s + 4*h - 10 = 0. Solve -2 = -4*b + s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148533, -148958, -149383, -149808, -150233, -150658?\nAnswer: -151083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -176.461420948379 + -0.1?\nAnswer: -176.561420948379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268842 = 2088*a - 3233*a - 2488*a for a.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/16456 and 113\/3756456?\nAnswer: 41321016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 288. Let d(t) = -11*t**2. Determine w(d(u)).\nAnswer: 22*u**2 - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1062 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 169 + -178 + (-4 + 1)*-16.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {g: 3, d: 2, s: 2, y: 5, v: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7956.476kg to tonnes.\nAnswer: 7.956476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 2, p: 8, d: 2, m: 2, j: 5}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 8*v - 2. Let h be w(8). Which is the biggest value? (a) -14 (b) 2\/17 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1484366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1707?\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/52)\/(3000\/(-8640)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 140 = 12*v + 17. Solve v*u - 187 = -242 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**5 + 70*n**4 + 145*n**3 - 220*n**2 = 0.\nAnswer: -11, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 10 - (5 - (24180\/2821 + 3\/7)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 6:44 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -24.51 (b) 0.03 (c) 0 (d) 3 (e) 16 (f) -0.3 (g) -1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4))**(3\/19)\/(m**(-1\/3))**(-49) assuming m is positive.\nAnswer: m**(-3715\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0 - 286. List the prime factors of i.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(399\/(-798))\/((-1)\/(-4)*2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123240 divided by 6?\nAnswer: 20540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + -4 + 5 + 1 + 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 33 = -4*v + 4, -146 = -4*l + v. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 227 - 206. Let r be h\/28*5\/(-1140). Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 + -130. Solve -a*m = -k, -5*m - k = -4*k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*(-1)\/(-12)*-4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 19915\nAnswer: 19\/19915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 146900801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 115159376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:32 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 17*u = -3*u. Let i(n) be the third derivative of -6*n**2 + 1\/280*n**7 - 1\/160*n**6 + 0 + u*n**3 + 0*n**4 + 0*n**5 + 0*n. Factor i(s).\nAnswer: 3*s**3*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 25\/4 (c) 13 (d) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-285)\/(-10))\/19*20\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 126*f - 74914 + 9520. Calculate the remainder when f is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1.6, -0.8?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138842860?\nAnswer: 2, 5, 13, 379, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104067 or 104064?\nAnswer: 104064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12.74 and -647.8898?\nAnswer: 635.1498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25520 divided by 1160?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3*m**4 - 5)*(0 + 2 + 0) + (-2 + 1 + 3)*(0 - 2*m + 0)*(1887 + 29*m**2 - 1887 + 5*m**3) to b*m**2 + d*m**4 + s*m + w*m**3 + x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 403*r**5\/20 + r**4\/3 - 5*r**3\/6 + 5*r**2\/2 + 4*r + 4. Is z(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 12:19 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 1. Let k(o) = o - 3. Let b be 2*-1*1\/2. Let w(x) = b*k(x) - 3*n(x). Let r(g) be the first derivative of g**3\/3 - 1. What is r(w(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/112 and -91\/4416.\nAnswer: 30912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2*b**3 - 1364504091*b**2 - 2 + 1364504110*b**2.\nAnswer: 2*b**3 + 19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**4\/32 - s**3\/4 + s**2\/16 + 3*s\/4 - 633. Factor l(r).\nAnswer: -(r - 1)*(r + 1)*(r + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 + 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 9 + -9 + -4 + 12.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 15 + 3*n)*(151 - 4*n - 151) + 1 + 7*n**2 + 5*n - 4*n - 5*n**2 as k*n + g + o*n**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15882 is divided by 2264?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 314272 (base 8) to base 10\nAnswer: 104634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36409 is divided by 331?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 3, 2*c = h - 2*h + 7*c - 3 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 237178328809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -3 (b) -0.5 (c) 1\/3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 346 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10657 = -3*h - 0*n, 4*n + 8 = 0. Let s be (-4)\/34 + h\/(-17). What is the highest common factor of s and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 12 = 36. Let r be 4045\/2170 + z\/(-14). Let c = r + 2\/31. What is the third smallest value in c, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.65 - -5.7. Let b = 0.05 - w. Which is bigger: -5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*a - 1283 - 271 = 0. What is the highest common divisor of 1659 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = 20*d - 32. Calculate the least common multiple of 494 and d.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 210 - 147. Solve -u*p + 68*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*w = -153*t - 39*w - 34*w + 6890, 0 = -3*t - 2*w + 133 for t.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 521 - 506. Suppose -j = 4*r - 11. Which is smaller: r or 1\/16?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 r when three letters picked without replacement from hhmormmhmr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2)*(-12)\/(-288)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 9*p**2 + p + 6. Give t(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-55)*1 + 112\/(-364)*(-104)\/16?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19083408*a - 30102879 with respect to a.\nAnswer: -19083408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-32)\/(-3))\/16)\/(2\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j - 206*j**3 + 204*j**3 + 5*j + 22*j**2 + (7 - 4*j - 7)*(-j**2 + 2*j - 2*j) as o*j**3 + k + h*j**2 + z*j and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*z - 7*z = 20*z + 124*z + 1833 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23173434042126 less than 0.5?\nAnswer: 0.26826565957874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 4 = 2*g. Let k(a) be the third derivative of 1\/24*a**4 + 5*a**2 + 0*a + 1\/6*a**3 + 0. Give k(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 272, 4, 0, 89?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704528 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50646944 and 362916.\nAnswer: 455822496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-39)\/(-169)*-1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 4}. What is prob of sequence qq?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1071c3 (base 14) to base 13\nAnswer: -16692b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 16 = -2*f + 4*f, a = -2*f + 1. Let x be 4\/(-55)*5\/(-2). Let k = -4.91 - -1.91. Put x, k, a in descending order.\nAnswer: a, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.4 (b) 1\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8686, 8774, 8928, 9154, 9458, 9846, 10324?\nAnswer: 10898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*k + 4*k**2 + k**2 - 40*k.\nAnswer: 5*k**2 - 94*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(60)\/sqrt(5))*4.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-24) - 13107\/44. Let a = g - -298. Let t = -208 - -209. Which is smaller: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 150 + -146. Sort 49, 5, d, -5 in descending order.\nAnswer: 49, 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6700*b**2\/7 + 9360*b\/7 - 4.\nAnswer: 4*(5*b + 7)*(335*b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 79, 287, 625, 1087, 1667, 2359, 3157?\n\"Answer: -r**3 + 71*r**2 + 2*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -0.165222?\nAnswer: -1.834778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 24*m**2 + 91 - 3*m**4 - 71 - 68 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*w + 240 = 0, 6*d + 82 = 8*d + 5*w. What is the remainder when d is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -161972*m**2*v**2*z**3 - 2*m**2*z - m*v**2 - 217*m*v*z**3 + 2*m*v*z**2 - 58*m*v*z wrt m.\nAnswer: -323944*v**2*z**3 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 7*k - 5. Let l(y) = y**2 - 4. Let p be l(-3). Let x be d(p). Suppose 61 = 2*s - 5*o, 11 + 14 = -x*o. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -42?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 149583, 149547, 149511, 149475, 149439, 149403?\n\"Answer: -36*v + 149619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 54*(-8)\/(-6). Suppose -j = 8*l - 10*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3450*q**2 + 600*q + 3?\nAnswer: 6900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + g**2 + 3*g + 7. Let p be s(4). Let u = p - -22. Which is the smallest value? (a) -0.1 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 8*l**2 + l + 7. Let o(z) = z + 2. Let y be o(5). Let w be 22\/2 - (-4 + y). Is p(w) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -284660 greater than or equal to -284662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**4\/4 + i**3\/6 - 15*i**2 + 13*i. Suppose 13 = 2*h - 37. What is the remainder when d(-6) is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 262.28554 + 0.01446. Let t = 75 + 200. Let w = t - d. What is w rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 34, -0.06, -2480\/7, 2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 8*b - 3. Let p = 23 + -22. Solve -2 = b*x + p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42808872 divided by -7134812.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m + 1. Give g(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -1 + 1 + 23. Let x = 10 + f. Suppose x - 2 = 4*a. Calculate the remainder when 14 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 23*n - 6. Let b be o(2). Suppose -b = -4*w - 0*w. Is (0 - -382)*w\/20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8043, 8013, 7937, 7821, 7671?\n\"Answer: k**3 - 29*k**2 + 50*k + 8021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57 + 2*z - 11*z - 59 - 1 - z + 1 + (0 + 3 - 1)*(-3*z + 5*z - 3*z).\nAnswer: -12*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 3383?\nAnswer: 27064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-635)\/10)\/1)\/(6*58\/(-696))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -2. Let r = 7.1 + 1.9. Which is the third biggest value? (a) -0.5 (b) d (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 2:53 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 27.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35350 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and 4?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*v = -42, -5*s + v + 46 = 5*v. Suppose 7 = 5*y - 4*y + 2*g, 2*g = y - 3. What is the remainder when s is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(212\/71 - 3). Let u = f + 134. Let g(b) = 29*b - 7. What is the remainder when u is divided by g(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = 5*c - 18, 0 = 3*c. Suppose -3*s + 0*s + 9 = 3*h, s - 8 = d*h. Suppose 2*a - 18 - 8 = -4*q, 4*a = s*q + 52. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -341, -334, -327, -320, -313?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j = -2*p - 13, -p = 2*j - 11. Find the second derivative of 4*x - 5*x + 6*x**5 - 4*x**j wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/19 + 22*i**4 + 4022*i**3\/19 + 8358*i**2\/19 = 0. What is i?\nAnswer: -199, -7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2272 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4695279028 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0.5. Let w = 846 + -846.1. Which is the nearest to w? (a) l (b) 6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 + 78. Suppose a*b = 3*p + 172, -2*b + 54 = -b + 2*p. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t**2 - 11*t + 18. Let a(o) = -13*o**2 + 22*o - 35. Let s(m) = 2*a(m) + 5*g(m). Is 14 a factor of s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppr when three letters picked without replacement from kkrrrrrprrpr?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.9 from 353686135.\nAnswer: 353686130.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 39 - 92 + u + 42. Give a(20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 12:41 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/751 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -333, -3070, -10629, -25416, -49837, -86298, -137205?\n\"Answer: -401*y**3 - 5*y**2 + 85*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 104\/(-266) - 10\/(-35). Let z = -26 + 29.6. Let l = -0.6 + z. Sort 3\/7, w, l in descending order.\nAnswer: l, 3\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, g: 2, i: 3, h: 2, j: 3, s: 4}. Give prob of picking 2 h and 2 m.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121 rounded to the nearest 10?\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31203123 - 1311301?\nAnswer: -33121030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 n, and 2 m when four letters picked without replacement from mxnnxmnxxnmnnnmnnnnn?\nAnswer: 96\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-749)\/42 - (3\/21 + 3250\/(-4620))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -17. Let b = -0.819 - -1.319. What is the closest to -2\/3 in w, b, 0.8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 3, -19, -75, -177, -337, -567?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 + 7 = 0. Let g be (d\/(-18))\/(23\/(-6)). Do g and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 9108672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 373961704727 + -2.\nAnswer: 373961704725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119338571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37863 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(6\/4) - (-126)\/(-7). Which is the biggest value? (a) -0.1 (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 10:39 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/5 + 26*v**2\/5 + 704*v\/5 - 728\/5 = 0. Calculate v.\nAnswer: -14, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 163363 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 8:41 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 - 65. List the prime factors of o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.0757 + 0.1057. Let d = 6 + x. Let n = d + -2.03. Sort n, 0, -3 in increasing order.\nAnswer: -3, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, s: 6, j: 2, p: 3, b: 2}. What is prob of picking 3 s?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 157*x**6\/2 - 757*x**2\/2 + 585. What is the second derivative of w(l) wrt l?\nAnswer: 9420*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 340332 and 52944.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -21 - 0. Let q(v) = r + 2*v - 20 - 35. Let i be q(17). Solve i = s + 3 - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 639980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -33*a - 42 - 74 + 40 - 108. Let s be k(-6). Solve 2*d + 4*y = -10, -4*y + 3 - s = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 n when three letters picked without replacement from bfbfn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056 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: 2404597.038591 - -0.2\nAnswer: 2404597.238591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -403, 4, 1, -0.2?\nAnswer: -403","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + h + 5, 5*d - 2*h - 3 - 1 = 0. Solve 0 = a + a + d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 7) in base 8?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 386923611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 5352302252?\nAnswer: -5352302252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 15. Let j be 16\/56 + 208\/7. Calculate the highest common divisor of j and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 13. Let r(b) be the third derivative of -b**6\/30 - 3*b**4\/8 - 3*b**3\/2 + 4*b**2 - 9*b. Let o(v) = -2*v**3 - 5*v - 5. Calculate p*o(n) + 3*r(n).\nAnswer: -2*n**3 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 12*f + 38. Let y be v(6). Suppose -g - 265 = -n, -471 = -y*n + 5*g + 56. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 92*i + 2762. What is b(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 271*d**3*l + 14*d**3 + 2*d**2*l*o + 3*d**2*o wrt l.\nAnswer: 271*d**3 + 2*d**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 788\nAnswer: -1\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-9))\/(452\/2034)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(3*(2 + (-309)\/153)). Let h(k) = -k**2 - 5*k. Let i be h(-4). Is (1 - t)\/i + 269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 17*l**2 - 15*l + 100. What is g(18)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1051 divided by 700.\nAnswer: 1051\/700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {e: 4, n: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f - 15 = 0. Let x(t) = 0*t**f - 4 - 8*t + 1 - 5*t**2 - t**3 + 2*t. Determine x(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.02455 plus -2094073198?\nAnswer: -2094073191.97545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 284 - -67. Let k = f - 334. Calculate the remainder when 61 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101351602 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqv when three letters picked without replacement from vvqvvvqv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 22*z**2 + 339*z + 180. What is j(-16)?\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6909 and 1374421.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (330 - 333) + 8\/2. Which is the nearest to 49? (a) -1 (b) 0.2 (c) r (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdmmdxmxxxxxd. What is prob of sequence xxdm?\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, l: 7, b: 4}. Give prob of picking 1 l and 3 b.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**3\/3 - n**2 + 8*n + 1. Let f be j(0). Let c = f - -11. Calculate the highest common factor of c and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, m: 3, i: 1, b: 2, h: 1}. Give prob of sequence ab.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + sqrt(3))*5 + -4.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-600)\/(-10800)*(-2)\/1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269, 406, 559, 734, 937, 1174?\nAnswer: 1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3478191 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmy when three letters picked without replacement from {y: 5, k: 1, o: 2, h: 5, m: 5}.\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 318\/3451447 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12878, -12463, -11772, -10805, -9562, -8043, -6248?\n\"Answer: 138*d**2 + d - 13017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -9 - (-20 + 33).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 - 10*w**3 + 24*w**2 - 22*w + 7.\nAnswer: (w - 7)*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 8*n + 11. Let x be u(-8). Let r = x + -8. What is the closest to -2\/3 in 1\/9, r, -5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1387 by -255.\nAnswer: -1387\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-6) - 15\/(-6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, e: 4}. Give prob of picking 3 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75183655?\nAnswer: 5, 151, 99581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15576*p - 28115 = 127645 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 + 11*f**2 + 116*f + 57. Let y be j(11). Factor 0 - 2\/21*m - 2\/21*m**3 + 4\/21*m**y.\nAnswer: -2*m*(m - 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36434, 72549, 108636, 144683, 180678, 216609, 252464?\nAnswer: 288231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*o - 4*i, 5*o - 3 + 13 = 4*i. Let q = 701 + -173. Suppose -3*p - 2*p = -3*w - 1282, o*p = 5*w + q. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 88059475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11847737?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 - -80. What are the prime factors of d?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*x - 160, 6*y - 2*y = x + 157. Let z = 90 - y. Let q = -45 + z. What is the remainder when q is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1433 (base 11) to base 15\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32955007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 5*r - 4. Let y(w) = -w**3 - w - 1. Suppose -2*l = 5*a - a - 4, -5*l + 24 = -4*a. Let f be (2 + -1 + -2)*a. Calculate f*d(j) - 3*y(j).\nAnswer: 2*j**3 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23250.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.796827 rounded to 2 decimal places?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k**(-5)*k)\/k)**21\/((k\/k**13)\/k)**(-6) assuming k is positive.\nAnswer: k**(-141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4100269 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63229 + 136949. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15 - 2 - 177030\/(-42)?\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 146 = 2*c, 2*n - 2*c - 49 = 35. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 3*y + 1. Let p(w) = w**3 - 9*w**2 + 9*w - 6. Let v be p(8). Suppose v*f + 3*f = 15. What is the units digit of n(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**7\/126 - k**6\/10 - k**5\/4 - 7*k**4\/36 - 293*k - 3. Factor s(n).\nAnswer: -n**2*(n + 1)**2*(n + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 506.7113493 less than 0.089457?\nAnswer: -506.6218923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -48136740.94 to the nearest 10000.\nAnswer: -48140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**3\/6 + s**2\/3 + 55*s\/6 - 28\/3 = 0.\nAnswer: -7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from {g: 7, l: 3, f: 3}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 45*z**2 - 2. Let f(y) = -31*y**2 + 2. Determine g(f(w)).\nAnswer: 43245*w**4 - 5580*w**2 + 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (25\/(-45) + 2\/9)*3. Let m be ((s - -3) + (-275)\/132)*2. What is the second smallest value in m, -0.5, -29?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(11\/2)*l*(l\/l**(-4)*l*l)\/l*l)\/((l**6\/l)\/(l*l**(1\/6)\/l*l)) assuming l is positive.\nAnswer: l**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 1030.15?\nAnswer: 1032.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8872 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-54)\/(-36)*(-8)\/(-6). Let n(k) = -189*k**a + 189*k**2 - k**3 + 1. Let q(t) be the first derivative of 5*t**4\/4 - 6*t - 6. Calculate 6*n(u) + q(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1133, -4507, -10129, -17999, -28117, -40483?\n\"Answer: -1124*x**2 - 2*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*q + 54 = -5*t, -4*q = -4*t - 56. Let k(s) = -2*s**2 - 24*s + 4. Let c be k(t). Find the second derivative of 10*u + 16 - 16 + 12*u**c wrt u.\nAnswer: 144*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d + 10878 = -9877. Let m = d - 547. Is 40 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, p: 5}. Give prob of picking 3 p.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21688547 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 - -107\/2. Let t = 5846\/7 - 835. What is the closest to 1 in m, 2, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 3, 0, -7, 4 in decreasing order.\nAnswer: 55, 4, 3, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 2893.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*p + 12 = 0, 3*a = -3*p + 23580 - 23577 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 66 = -s - 61, -2*s + 13 = -g for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 195 + 6*i**3 - 102.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 711 divided by 1\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 9*v - 8*v. Suppose -60 = -8*n + 3*n + 4*m, 5*m + 57 = v*n. Calculate the highest common divisor of 20 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 divided by -4?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*w + 1 - 6 + 4)*(2 + w**2 - 2) + (2 - 2 + 2*w)*(-4*w + w**2 + 4*w).\nAnswer: 56*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1260 = 4*q - 2*f, q - 629 = 2*f. Is q\/4 + (-4)\/(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.43 + -0.57. Let w = -8 - -10. Which is the biggest value? (a) l (b) -0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/18 and -7 - (7 + -2 + 177240\/(-14704)).\nAnswer: 16542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -97 - 3e?\nAnswer: -d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Let j(p) = -p**2 + 5*p. Let n be j(0). Suppose n = l + 4*l - 25. What is the biggest value in b, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-5))\/((3813\/(-310))\/1).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1201, 2084, 2967, 3850, 4733?\nAnswer: 5616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -13. What is the units digit of (a\/(-3))\/((-14)\/(-147))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.39 + 0.01. Let c = 2.7 - 1.5. Let i = c + -2.2. What is the nearest to -1 in i, o, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1640*w**5 - w**4 - 2*w**2 - 63505*w.\nAnswer: 32800*w**3 - 12*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t - 6*t + 2*t)*(-3 + 3 + 2*t)*(-4*t + 3*t + 3*t).\nAnswer: -44*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -330 + -453?\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*c - 474 - 400. Which is bigger: c or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2081 and -332?\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-61)\/4)\/(4\/8) and 43\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 7*n - 10. Let a be h(7). Let f be (-5)\/(3 - (-32)\/a). Suppose -4*l - d + 8 + f = 0, -3*d = -3. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 h when four letters picked without replacement from {h: 7, c: 9}?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -521 + 2881. Find the common denominator of 5\/(-100)*x\/(-4) and -11\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(120))\/sqrt(4)*4)\/(-3*3*sqrt(1000)).\nAnswer: 2*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1354054?\nAnswer: 1\/1354054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**2 + y - y**3 + 2*y**2 - y**2 + 3*y**2 + 2 - 2*y**4 to o*y**3 + f*y + v*y**2 + w + x*y**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 0 + 2 + -1. Suppose o = -m*o. Suppose o = y + y - 4. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 760760 divided by -1540.\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by 1490537?\nAnswer: -43\/1490537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/8880 and 93\/148.\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 + (6 - (2 + 1)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 948002048*d + 930405070 wrt d.\nAnswer: 948002048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -20*x + 13. Is h(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and 639.44.\nAnswer: 1087.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/9 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3561 - 21367\/6. Let u = 13 + -18. Let n = -3 + 0. Which is the fourth smallest value? (a) 3 (b) u (c) n (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(5\/4 + -2). Suppose -4*x - 52 = -4. What is the remainder when 5 is divided by 1\/d + (-40)\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/(99\/(-92671)) + (-6)\/27. What is j rounded to the nearest 100?\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 2*r + 4181*p - 4176*p + 2, 0 = 4*r + 3*p + 25 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/14 and 95\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2320 + -2318. Solve -5*r - 18 = -n*t, -4*t - 26 + 18 = r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 10 + -15 - (3 - 2)) + -7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-2\/3))\/z)**(-2)\/(z**(-1\/5)*z**(-3\/4)\/z))**3 assuming z is positive.\nAnswer: z**(37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 953*l**2 - 948*l - 8. Let i(k) = -2*k**3 + 1907*k**2 - 1896*k - 18. Let v(q) = 4*i(q) - 9*t(q). Let v(x) = 0. Calculate x.\nAnswer: 0, 1, 948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 4:59 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**3\/7 + 172*x**2\/7 - 1504*x\/7 + 3072\/7 = 0.\nAnswer: 3, 8, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - 75. Let x = g + 84. Let q = -36\/53 - -1586\/2491. Put x, q, -0.4 in descending order.\nAnswer: q, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.408 + -1.408. Sort 4, -4\/3, -0.07, i, 11 in increasing order.\nAnswer: -4\/3, -0.07, 4, i, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10*m - 2. Let p(x) = 9*x - 2. Calculate -6*p(n) + 5*y(n).\nAnswer: -4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 734720 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18261938?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3787099*u**2*v**2 - 2*u*v**2 - 323393*v**2 - 8 wrt u.\nAnswer: -7574198*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-five quarters of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100.114684 - 0.124984. Let u = 100 - t. Round u to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1156*p**5\/3 - 1904*p**4 + 289339*p**3\/3 - 1173005*p**2\/3 + 22750*p - 1000\/3 = 0.\nAnswer: -20, 1\/34, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 0.114?\nAnswer: -1.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7413952 divided by 2912\nAnswer: -2546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000897 rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 10*a - 28. Let h be z(3). Factor -7\/5*f**h - 4\/5 - 16\/5*f.\nAnswer: -(f + 2)*(7*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 6*l**2 - l - 4. Calculate the remainder when 110 is divided by i(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 760921.1 millilitres?\nAnswer: 760.9211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.37638 millilitres in litres?\nAnswer: 0.05337638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 = 21*v + 187 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607755 is divided by 151937.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 1 - (6 - -14 - 4) - (1 - -9)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 568301480 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1153 is divided by 76?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1473, 1382, 1237, 1038, 785, 478, 117?\n\"Answer: -27*b**2 - 10*b + 1510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, 93, 264, 515, 852, 1281, 1808, 2439?\n\"Answer: a**3 + 31*a**2 - 3*a - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 15. Let t = 29 - v. What is the remainder when t is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-354)\/15 - (-92 - -68). Suppose 0 - 1\/5*n**5 - 3\/5*n - 2\/5*n**2 + t*n**4 + 4\/5*n**3 = 0. What is n?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -1\/10, 1\/5, 19.\nAnswer: -2, -1\/10, 0, 1\/5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -986*w**3 + 42*w**2 - 6*w - 6. Let r(a) = -197*a**3 + 8*a**2 - a - 1. Give 16*r(i) - 3*z(i).\nAnswer: -194*i**3 + 2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 146 (base 8) to base 9\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-11 - (-2 + -5) - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4529 (b) 8\/7 (c) 0 (d) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505307140?\nAnswer: 2, 5, 13, 1943489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, k: 2, g: 2, u: 1}. Give prob of sequence gzgu.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/430 and -25\/4902.\nAnswer: 24510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 27 = 2*c, 20 = -2*c - 3*c. Solve 2*j - 6*j - z + 21 = 0, -3*z - b = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1529646 and 68834070.\nAnswer: 68834070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -12083, -3 in increasing order.\nAnswer: -12083, -3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -978.637 + 986. What is z rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 b, and 1 k when three letters picked without replacement from xbrxxbkkxxtxpxx.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201 by -120.\nAnswer: 67\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 + 4*m**2 - 26*m**2 - 7 - 96.\nAnswer: -22*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13084453789\/1833 + 7138292. Let a = -3\/611 + u. What is the common denominator of 3\/27*3 + 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*g - 0*g. Let w be (-220)\/15*-6 - (0 + -1). Let h = -91 + w. Sort 2, g, h in ascending order.\nAnswer: h, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10586, -10149, -9712, -9275, -8838, -8401?\nAnswer: -7964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59776*t**4 - 351*t**3 - 506393447*t**2.\nAnswer: -1434624*t - 2106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 18 - 17 - g + 2*g as r + w*g and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1605 + -1605. Solve -3*o = 3*q + 6, j = -o + 3*q - 2*q - 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -102831.059 rounded to the nearest one hundred?\nAnswer: -102800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.85 + 0.15. Which is the nearest to i? (a) -3 (b) 2\/15 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n + 21*n + 30 = 0. Let r(j) = 13*j**2 - 3. Let o(l) = 26*l**2 - 7. Calculate n*o(b) - 7*r(b).\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1404 and 91675818?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 32*k = 143 - 44 + 23, 3*i + 2*k - 52 = 0 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/2)*q\/q**(-13) assuming q is positive.\nAnswer: q**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 142229158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 72\/(-63)*103390\/(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 32 - 20 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*q + 496, -2*q = -q - 3*i - 233. Let t = -241 - -263. Calculate the greatest common divisor of t and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = 5*g + 3*o - 309, 584 + 280 = 12*g + 23*o - 2*o for g.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-6) + -3)*(0 + -2). Let f be (4\/2)\/1 + -2. Which is the closest to -1? (a) o (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 + -33?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15814768.\nAnswer: 2, 823, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 686 - 1397 + 674 + 8*b + 8*b as m*b**2 + g + f*b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 - -4.88. Let o = s - 4. What is the nearest to 2\/7 in -0.2, 2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6384, -25609, -57658, -102537, -160252, -230809, -314214, -410473?\n\"Answer: -s**3 - 6406*s**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12882 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: List the prime factors of 1214.\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18860531 divided by -43.\nAnswer: -438617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 14 = -9*y. Let s(h) = h + 4. Let c be s(-8). Put c, y, -6 in decreasing order.\nAnswer: y, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 10*d**2 + 4*d - 3. Let l be o(11). Let b = -71 - l. Solve -2*h + 13 + b = -5*s, -5 = 2*s + 3*h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37120233 is divided by 6196.\nAnswer: 6193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 173073209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + 2 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**6\/360 + h**5\/120 + 2*h**3\/3 - 1. Let t(d) be the third derivative of u(d). Solve t(c) = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**2 + 4*t - 8. Let y(j) = -j**2. Let p(o) = n(o) + 6*y(o). Suppose -4*s - 30 = s. Let c be p(s). Solve -2*h + 0 - c = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72917 and 7031414?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, g: 4, v: 2, e: 3}. Give prob of sequence gg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlzm when four letters picked without replacement from {z: 5, l: 2, m: 2}?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpoo when four letters picked without replacement from {r: 3, f: 1, p: 9, o: 2, g: 2}?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6100926 to the nearest integer?\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11*-1.7\nAnswer: -18.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5498177.698 to the nearest one hundred thousand.\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -32.441 = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 1360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-19)\/(19\/(-140)) - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/5173?\nAnswer: 2\/5173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 2*j + 2, 159*j - 164*j = k + 21 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18050894200 rounded to the nearest 1000000?\nAnswer: -18051000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 43 (b) -2 (c) -1389\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 + 14 + 19 - 33.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 4*y - 7. Let s be g(-5). Suppose -5*l + 5*t = 18 - 78, -t + 42 = 5*l. Solve 21 = -l*m + s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from imemmimmiim.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4)*-1 + (-25333)\/(-1316). Solve -2*x - 17 = -z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 = -15*a + 36*a. Let d = a - -38. Solve -s = s + d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -142177 at most 117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 403 and 171420041?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1872995, 1873004, 1873017, 1873034, 1873055, 1873080, 1873109?\n\"Answer: 2*m**2 + 3*m + 1872990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**4 - j - 3. What is the first derivative of w(k) wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {b: 2, t: 4, m: 6, h: 4, q: 1, n: 3}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78.2914293 and 5?\nAnswer: -391.4571465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**2 - 2*w**2 - 24*w**2 - 35*w**2.\nAnswer: -67*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n\/(n*(n**4*n)\/n)*n))*n)\/n**(8\/5)*(n**(2\/5))**(5\/9))**21 assuming n is positive.\nAnswer: n**(-749\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/11)*g**(-3)*(g**(-2\/7))**(9\/10) assuming g is positive.\nAnswer: g**(-1324\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n = 1985. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 68, 96, 118, 134?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/5*1269\/564.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -340 - -341. Let g = 91 + -86. Solve 3*o = -0*o + 4*r + k, 0 = -g*o + r + 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 5\/4*a**4 + 0 + 0*a - 1\/12*a**5 + 97*a**2 + 35\/6*a**3. Factor o(q).\nAnswer: -5*(q - 7)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0*p + 18. Suppose 0 = 3*o + p*o - 567. Suppose -3*z + 3*h = -o, 0*h = 4*z + 4*h - 124. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oexo when four letters picked without replacement from {x: 4, e: 3, o: 7}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*b - 11*b - 42*b)*(34 - 93 - 28) in the form z*b + a and give z.\nAnswer: 2610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64a721 (base 13) to base 6.\nAnswer: -122405530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1539) + 0 + -5 + -2 + 3*((sqrt(1539)*1 + sqrt(1539))*3 - (sqrt(1539) + sqrt(1539) + 1 + 3)))**2.\nAnswer: -4212*sqrt(19) + 260415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5566?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2a8d1 (base 14) to base 9\nAnswer: 171383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 17*j**2 + 18*j - 48. Give d(-18).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nncn when four letters picked without replacement from ufsullsnnfcu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 2)*(-4*m**2 - 5*m**2 + 5*m**2)*(10 - 5 + 7)*(2*m**2 - 2 + 2).\nAnswer: 288*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in 3\/4, -0.3, -2, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 5)*(-2 - 0). Let m(z) = 1. Let a(x) = 2*x - 8. Let r(y) = u*m(y) - a(y). Is 5 a factor of r(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 18*r - 1040. What is the greatest common factor of r and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**3 + 2*h**3 - 5*h**3)*(-151 + 81*h + 151).\nAnswer: 81*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 0*j**3 - 4*j**2 + 0 - 1\/200*j**6 - 1\/20*j**4 + 3\/100*j**5 + 0*j. Factor t(v).\nAnswer: -3*v*(v - 2)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.001 take away -3?\nAnswer: -38.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2844234110 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 637 and 546.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -435.9 - -436. Which is the closest to f? (a) -0.9 (b) 1\/8 (c) 3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 1153595?\nAnswer: 110745120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 16.4. Let v = 21.6 + k. Let j = 25.2 - v. What is j rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/43 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 2*o = 8, -3*o = -2*t + o - 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (1 + sqrt(3))*4)**2 + 0.\nAnswer: 40*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 19*o**2 - 28*o + 37. Determine h(17).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-378))\/(12\/(-54)))\/(58\/(-14))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -177381715, -354763429, -532145143, -709526857, -886908571, -1064290285?\n\"Answer: -177381714*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 270 + 2 + 22 - 5*j**3.\nAnswer: -7*j**3 + 294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*s + 87, -2*q = 5*s - 129 + 3. Let l = -18 + s. Suppose a - 2*a - 5*z = -8, -3*z - l = 0. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - m - 5. Let t be k(7). Suppose 5*o = l - t, -l - 3*l = 2*o - 82. What is the remainder when (-126)\/8*(-4)\/1 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 9*r - 1. Is 34 a factor of c(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l + l)*(-3 + 3 + 2*l) + (-2 - 2*l + 2 - 2 - l + 2 + (3 - 2 + 1)*(2*l - 3 + 3) + (1 + 5 - 2)*(-3*l + 4*l + 3*l))*(-4*l - 1 + 1).\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i - 8. Let b be z(2). Let u = -1 + 3. Suppose -2*t + 0*t + 4*s + 20 = b, -t = u*s - 26. Solve 3*w + 8 = 4*d, -3*w - 3*d + 9 = -t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n + 2*n**2)*(n**2 - 3*n**2 + 4*n**2) + (-2*n + 3*n - 2*n)*(3*n**3 - 2*n**3 + 2*n**3).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 122*t**2 + 51.\nAnswer: -122*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v + 2. Let j(s) = 4*s + 3. Let m(k) = -2*j(k) + 3*z(k). Let o be m(2). Suppose -o*w - 3*w + 14 = -h, 4*w + 4*h - 16 = 0. Solve 4*a - 19 = -w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 1. Let g be n(-3). Let m = 0 - -3. Suppose m + 2 = i. Solve 5*l - f = i, 30 = 4*f + g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 + 9*c**2 - 309 + 305.\nAnswer: 12*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28956, -28965, -28980, -29001, -29028, -29061, -29100?\nAnswer: -29145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 4*j + 5. Let x be t(-4). Let m be 4\/26 + ((-4)\/26 - -1). Put x, m, 2 in descending order.\nAnswer: x, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13481 + 13481 - a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*k + 33 = 0. Let y = -6 + k. Suppose 5*u = m + 11, 0 = 2*u - 0*u - 4*m - 8. Solve u*x + y = -1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464122363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(147))\/sqrt(7) + sqrt(21))\/(sqrt(35)\/sqrt(5)*6) + (sqrt(30)\/(sqrt(70)\/sqrt(7)))**2*-5*-2.\nAnswer: -sqrt(3)\/6 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 9 + -2 - 1. Suppose 0 = -2*j - j + 60. Suppose -n*d + 5*z = 2*z - j, d - 4*z = 5. Calculate the highest common divisor of d and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270, 796, 1686, 2946, 4582, 6600, 9006, 11806?\nAnswer: 15006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 340134614 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1))**7\/(n*n**(-1\/4)\/n)**(3\/13))\/((n**1)**(-2)*n*n*n\/n**4*n\/(((n**(-6)\/n)\/n)\/n)) assuming n is positive.\nAnswer: n**(367\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.3 + 10. Let f be (-2 - -3)*(0 - (0 - 2)). Let w = -13\/5 + 3. Which is the smallest value? (a) w (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 10*c - 3*c)*(945 - 34 + 1600) as r + u*c and give u.\nAnswer: 22599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6279233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-9))\/(1*4). Suppose -4*a = -n, -5*n + i*a = -3*a - 34. Solve 4*h - 2*w = n, 0 = -2*h - 3*h - w + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 530, 2135, 4812, 8561, 13382?\nAnswer: 19275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*2*-2*(3 - 4). Let j be (u + 1)*(1 - 3). What is the remainder when 36 is divided by -3 + 5 + 0 + j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096280 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 (base 5) in base 14?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 9*x + 4. Let j be -2*(-6)\/24*x. Sort j, -5, 1, 2\/13 in decreasing order.\nAnswer: 1, j, 2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/168474 and 27\/2.\nAnswer: 168474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*u + 16, 0*u - 6 = -4*u - 3*a. Suppose -u*m + 5*m = 0. Solve 0*n + n = 4*y, m = n + 2*y + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0 - 2. Let h(a) = 2 - a + y*a - 2*a + 3*a. Is 18 a factor of h(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223*g**2 - 243*g?\nAnswer: 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - 2*j**2 + 4*j**2 + (3*j + 0*j - j)*(-2*j - 5 + 5))*((0*j - 3*j + 4*j)*(-2 + 0 + 0) - 2*j + 0*j + 0*j).\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19893.82958 - -19894. Let x = p - 0.171. Round x to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1053) + 6*(1 + sqrt(13)) - (-5 + (-2*sqrt(637) + sqrt(637) - sqrt(13))).\nAnswer: -4*sqrt(13) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-14))\/((6\/(-7))\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -1\/2*u**3 + 0*u + 2*u**2 + 0*u**4 - 1\/20*u**5 + 0. What is the derivative of k(v) wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 0*x**3 + 0 + x + 7\/6*x**4 + 0*x**2. Is b(1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-86)\/(-7) - 4\/14. What is the common denominator of (2\/2)\/((-42)\/(-165)*1) and -1 - (95\/g)\/5?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 368292895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.9340925, 21\/2, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 25 = -3*l, 8*l - 2*l - 4*v - 74 = 0. Suppose 376 = 4*g - 5*c, -2*g - 5*c = -4*g + 178. Calculate the highest common factor of l and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + 1311. Suppose a = -5*y + 4465. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + -31 + 30 - -40?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/5, -2, -3\/4, 42, -3\/2, 1.24?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1072552 + 2302?\nAnswer: 1075054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.007 and -0.65.\nAnswer: 0.00455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l - 224. Suppose 4*k = -3*k + l. Determine x, given that -4*x**2 - 18 - 28*x**3 + 9 + 9 + 64*x**5 - k*x**4 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3320758*m**2 - 11061*m. Let y(v) = -1201*v**2 + 4*v. Give -4*c(s) - 11061*y(s).\nAnswer: 1229*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(425)) - sqrt(85)\/(sqrt(20)*-1))**2.\nAnswer: 87*sqrt(17) + 14333\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + 0.5. Let a = -0.4 - b. What is the closest to -1 in -5, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -3, -2911.\nAnswer: -2911, -3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3263 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 5*j**2 + 0 + 0*j + 1\/12*j**4 + 1\/2*j**3 + 1\/180*j**5. What is x in y(x) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a = 0. Let d be 43\/3 + 2\/3. Let n = a + d. Calculate the highest common factor of n and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.99*-6.19.\nAnswer: -24.6981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 14*a - 9*a + 4*g, a = 4*g + 21 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -10 - (6 + -6) - 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -406*h + 389*h - 391 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -12*f**2. Let y(n) = 15*n + 5. Let t(x) = -7*x - 2. Let a(d) = 5*t(d) + 2*y(d). Calculate a(j(u)).\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**18*j*j*j**(2\/45) assuming j is positive.\nAnswer: j**(947\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 1. Let s(n) = -n**3 - 2*n**2 - 2. Give s(h) - 2*y(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - 3*((2*sqrt(95) - sqrt(95)) + sqrt(95)))\/(sqrt(15)\/(sqrt(12)\/sqrt(4))).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132733, -132734, -132735, -132736, -132737, -132738?\nAnswer: -132739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1195921*n**2 + 1357662*n wrt n?\nAnswer: 2391842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79.86 + -80.16. Sort -6\/7, -4.32, f, 1\/6.\nAnswer: -4.32, -6\/7, f, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/14)\/((-1)\/(-7)). Put d, 3, 8 in decreasing order.\nAnswer: 8, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 21*z = -17*z - 149, -2*n = -5*z - 84. Suppose 20 = 3*c + 5*k, 12 = 5*c - 2*k - 11. Calculate the remainder when n is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -550*n + 1048*n + 532*n + 423*n - 3*n + 4*n + 0*n + (3 + 2 - 4)*(n + n - n).\nAnswer: 1455*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.329 + 0.629. Suppose -3*p - 4*d = -19, -d + 3 = -1. Which is the closest to t? (a) p (b) 1\/9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 - 787 = -w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**5\/15 - 13*a**3\/6 - 7*a**2. Differentiate h(l) with respect to l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h - 8. Let f = h + 7. Suppose -s + f*s - 5*y + 8 = 0, s - 18 = -3*y. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10009556 or -50047781\/5?\nAnswer: -10009556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 17289645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 639 - 444. Let w = j - 195.00002064. Round w to 6 dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9578364, -19156696, -28735028?\n\"Answer: -9578332*p - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccdcddydcdcccccdc. Give prob of sequence dcc.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 1*(11\/44*20)\/5\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2575.4541 nanoseconds to minutes.\nAnswer: 0.000000042924235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.006619 weeks in hours?\nAnswer: 1513.111992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -2767 (c) 5 (d) 0.4 (e) -1\/6 (f) 3 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7634779?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10*v. Let m(o) = -o**2 + o. What is -b(w) - 8*m(w)?\nAnswer: 8*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j + 68 = 129 + 109 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + (-63 - 8) + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - v**2 + 4*v**2 + (6 + v**2 - 2 + 2*v**2)*(-3 + 3 + 1 + (-2 - 5 + 1)*(4 + 2 - 4) + 1 + 1 + 0).\nAnswer: -23*v**2 - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(216) - 1*sqrt(216)*-3))\/((sqrt(12) - 2*sqrt(432)) + sqrt(12) - (sqrt(252)\/sqrt(7) - sqrt(36))\/sqrt(3)))**2.\nAnswer: 648\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/2)\/((-9)\/(-264)). Calculate the greatest common factor of 56 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 63*r = -68*r - 3086090, 5*u = 5*r + 15430490. What is u rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.02, -284, 0.096, 3, -5, 0.1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 354.9377 millilitres?\nAnswer: 0.3549377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s + 5*s - 16*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 7. Suppose r - 113 = -124. Determine q(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**3 - 8*t**2 + 2*t - 8. Let a = -108 - -100. Let f(l) = 2*l**3 + 3*l**2 - l + 3. Calculate a*f(s) - 3*d(s).\nAnswer: -s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 9*y + 41, y - 12 = 2*r - 25. Let 26\/9*d**3 - 4*d**2 - 256\/9 - 2\/9*d**r - 320\/9*d = 0. What is d?\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s*s**(-1\/4))\/s))**(16\/7)\/(s**(2\/3)*s*s*s\/(s**(-4)\/s*s*s)))\/(s**(4\/7)*s\/(s*s\/s**4)*(s\/(s\/(s\/(s**1\/s))))**(-4\/33)) assuming s is positive.\nAnswer: s**(-105\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f + 20. Let n(k) = -13*k - 41. Let r(u) = 2*n(u) + 5*q(u). What is the derivative of r(g) wrt g?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 2:24 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 28. What is the second biggest value in -2, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 1. Let a(o) = -o**3 + 7*o**2 - 4. Calculate the remainder when a(f) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -510ba - 6?\nAnswer: -510c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmzmmzzfm. What is prob of picking 1 f and 1 m?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f - 3*f)*(1324 + 1156 - 1082 + 563).\nAnswer: -5883*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppo when three letters picked without replacement from {p: 4, a: 3, q: 1, v: 2, n: 1, o: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 125, 5, -3, 4 in descending order.\nAnswer: 125, 5, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.1, -1.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -229 - -393. Solve 0 = i*u - 166*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -402 - -3622\/9. Let w(h) = -7*h**2 - 75*h - 161. Let f be w(-3). Are f and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 60.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8d7 + 54601?\nAnswer: 550d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2154*d - 3. Let l(p) = -50*p. Give j(l(m)).\nAnswer: -107700*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63248007 and 34934?\nAnswer: 126496014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 11*y**2 - 15*y - 3. Let j be d(11). Let m = 56 + j. Let a be m\/(-20) + 2\/5. What is the highest common factor of 66 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*(-5 + (3 + (sqrt(931) - (2 + sqrt(931) + sqrt(931))*2))*-4)**2.\nAnswer: -672*sqrt(19) + 536258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-12))\/(-1))\/(-2).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (492\/(-17))\/(11 + (-490)\/42). Which is greater: 44 or t?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24689*-2\nAnswer: 49378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5947127411+2\nAnswer: 5947127413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u + 4*u)*(0*u + 0*u + 4*u**2) - 42*u**3 - 960 + 960 - 3*u**3 + 5*u**3 - u**3.\nAnswer: -33*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -51, -87, -125?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -230, -218, -192, -146, -74, 30, 172?\n\"Answer: p**3 + p**2 + 2*p - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4075454 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 10*j - 35. Give a(16).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 o when three letters picked without replacement from {o: 2, t: 1, l: 4, z: 4, h: 5}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-48) + (-133)\/(-6). Solve 3*n = -4*t - a, -2*t = -4*n + t + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1310001 and 1498?\nAnswer: 2620002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u + 5*u + 5*u)*(0*u - 2*u + 3*u) to x*u**2 + l*u + g and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1057 divide 6009355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwwmmwmmwwwmmwmmww. Give prob of picking 2 m.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43589746 by -357293.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 820 + -503. Let y = 321 - a. Solve -4*p + t - 1 = 0, p - y*t = -7 + 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 4. Let s = 25 - m. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.72967 days?\nAnswer: 495043.488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**3 + 174*n**2 + 2*n + 3993. Let s be k(-44). Let l = -84 + 161. What is the highest common divisor of l and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h + 107 - 9*h**2 - 89 + h - 3*h. Let u(t) = -t**2. Determine u(f(c)).\nAnswer: -81*c**4 + 324*c**2 - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 4*s + 2, 7*s - 11*s - 68 = -4*f. Let d = -3 - -4. Let y be 72 + -4 + (d - -1). Calculate the greatest common divisor of y and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 12\/5, 3\/2, -32?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.19 - -4.6. Let c = 7.83 + -0.34. Let y = h + c. What is y rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + (sqrt(5) - (sqrt(5) + (sqrt(5)*-2)**2)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 49, 0.03, -0.066, 0?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46.3 - 49.3. Let u = 266 - 268. What is the biggest value in 1\/9, u, -19, j?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/60 and 125\/78.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5813, 13288, 20765, 28244, 35725?\nAnswer: 43208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - p**2 - 4. Let b(o) = -8*o**3 - 13*o**2 - 3*o - 3. Let t(l) = -6*l**3 - 9*l**2 - 2*l - 3. Let d(q) = 2*b(q) - 3*t(q). Give -3*d(c) - 2*k(c).\nAnswer: -2*c**3 - c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5 + 3 = 0. Let a be 4*(f + (-1)\/(-2)). Is 0 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 2*y - 4. What is the smallest common multiple of 12 and k(3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/12 (b) -8 (c) 0.9 (d) 3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -29, -4, -3, 0 in decreasing order.\nAnswer: 0, -1, -3, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72930805?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 2, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90730367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.627 - 4.6272414. Round g to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**7\/70 + 11*b**4\/24 + 4*b**2. What is the second derivative of m(u) wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxeeeexe. Give prob of sequence eex.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -22.\nAnswer: -22, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 253 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b - 2814 = -2586 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 2. Suppose -7*s = -29*s + 264. Suppose -5*r + 2*c + s = 0, 13*c - 12 = -r + 11*c. Let u(h) = 3*h - 3. Calculate r*u(i) + 7*x(i).\nAnswer: 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 49983446?\nAnswer: 2\/24991723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 288*b**4 - 39736*b**2 + b - 535457757?\nAnswer: 1152*b**3 - 79472*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -128*j**3\/3 - j**2 + 6*j - 5. Let c be o(4). Let x be (1000\/(-1))\/((-1)\/c). What is x rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556104 to the power of 1\/2, to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -598686, -598692, -598706, -598734, -598782, -598856?\n\"Answer: -d**3 + 2*d**2 - 5*d - 598682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22879 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*v = 51*v - 9. Let p(u) = 12*u - 5. Let o(z) = -z + 1. What is v*o(w) - p(w)?\nAnswer: -9*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012 + -2322?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4102, 17131, 39100, 70015, 109882, 158707?\n\"Answer: w**3 + 4464*w**2 - 370*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 13*v - 16 - 12.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 2*m**3 + m**2)*(4 + 10 + 5 + (-3 + 4 - 2)*(-3 - 3 + 7)).\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, w: 11, k: 3}. What is prob of picking 2 w and 2 p?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -78, -179, -330, -537, -806, -1143, -1554?\nAnswer: -2045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((f + 3*f - 3*f)*(6 - 1 - 4) + 1 - 1 + 2*f + 2*f - f - 3*f - 4*f + f + f)*(2 + 3 - 1)*(-2558 + 1030 + 1165) as h + v*f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 24 - 10 = 2*q, 2*q + 5*z + 38 = 0. Let a(y) = -y**3 - 8*y**2 + 7*y - 13. Let h be a(q). Solve 5*l - 10 = -3*f, -h*l + 10 = 2*f - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -2) + (-88)\/(-22). Suppose -7*x - 5*z = -2*x - 5, k*z = -2*x - 13. Solve -g + 3*h - 8 = 0, -4*h + 2 = -x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3598 - 10?\nAnswer: -3608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -102, -104?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most as big as 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 12*k**2 + 9 + 11*k - 5*k**2 - 15 + 5. Is u(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4483.\nAnswer: 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 105026687, 210053371, 315080055?\n\"Answer: 105026684*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10984403142934 and 0.2.\nAnswer: -10984403142933.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 5*h**4\/24 - 2*h**3 - 9*h**2. Let x be g(5). Do x and 13 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h + 3*h - h)*(-308 + 86 - 290 + 86) in the form a + p*h and give p.\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 111110?\nAnswer: -1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -117442066.14 from 0.04.\nAnswer: 117442066.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:50 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 3:58 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 20 = -5*g. Let b(c) = -c**2 + 9*c + 81. Let k be b(13). Suppose z = -k*z + 60. Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzdzxrzzzdzdzrzzzzr. What is prob of sequence zzdr?\nAnswer: 39\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27398 is divided by 6843.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**4\/6 - 53*v + 149. Let a(j) be the first derivative of h(j). Let y(c) = 420*c**2. Calculate y(a(d)).\nAnswer: 1680*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g - 60 - 3*g + 32 + 31.\nAnswer: -16*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w + 49. Let z be o(-21). Let i be 3 - z\/(10\/(-5)). Let a = i + -126. What is the third smallest value in 1, a, 1\/3, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - -261.99. Let n = w - 261. What is the nearest to 0.1 in n, -0.24, -1\/3?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 9:08 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34859.3 + -34859. Which is the nearest to 2\/3? (a) 79 (b) 5 (c) -2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/11)*n)\/n)**(-29)\/((((((n*n**(-1\/3))\/n*n)\/n)\/n*n)\/n)\/n)**(-38) assuming n is positive.\nAnswer: n**(-3709\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111614949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 - 2*y**4 + 3*y**4 + 0*y**4 + 3*y**4 + y**4 + y**4 - y**4 - y**4 + (-y**4 + 2*y**4 + y**4)*(-2 + 1 - 1) - 3*y**4 - 14*y**4 - 2*y**4.\nAnswer: -21*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -13. Suppose 2*n + 2*z + z + 1 = 0, h = 5*n + 2*z. Solve -5 = -2*y + n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 8*c - 12. Let u(n) = -n**2 + 2*n + 2. Let o be u(c). Is o*(2 - 3)*251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.2 + -15.85. Let u = -4.35 + t. Suppose -6*i = -2*i + 12. What is the closest to -1\/3 in 6, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - (-14022)\/378 - (-160)\/(-2562).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(3*sqrt(2)) - (-4 + (1 + sqrt(19) - sqrt(19))))**2.\nAnswer: 2*sqrt(19) + 100\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aww when three letters picked without replacement from aswwszw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 178027, 355847, 533667, 711487, 889307?\n\"Answer: 177820*t + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1305, 2607, 3909, 5211?\nAnswer: 6513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, 20, 80, 174, 308, 488, 720, 1010?\n\"Answer: n**3 + 8*n**2 + n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -12. Let d = i - 6. Let f = 3.5 + -3. What is the biggest value in f, d, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 2\/11, -2\/17, 3, -32\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -5806?\nAnswer: -5812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701416685?\nAnswer: 5, 17, 653, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) + (-1)\/(-2). Let v = t - 0. Let m(k) = -k + 25. Is m(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28848346.\nAnswer: 2, 19, 759167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 129 = -3*k - 0*q, 3*k = -4*q + 129. Suppose 4*g + k + 37 = 0. Let s(v) = 2*v**2 - 2*v + 29. Is s(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 208 - 172. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-3))\/(2\/12). Suppose -v - v = r - 6, -v - 3*r = -s. Is 2 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 greater than or equal to 405329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 14*m + 11. Let o(f) = 12*f + 10. Let t(g) = -5*k(g) + 6*o(g). Let c(l) = 5*l + 10. Calculate -4*c(h) + 9*t(h).\nAnswer: -2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29.7333 + -0.2667. What is the smallest value in -15, -3, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/239768 and -69\/2277796.\nAnswer: 4555592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -158*r - 1. Is f(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1913*o**2 - 1564?\nAnswer: 3826*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1403948 + 0?\nAnswer: 1403948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by -5\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -312.862 * 0.27.\nAnswer: -84.47274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -2, -1, -9.\nAnswer: -9, -2, -1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -30. Let l be (-113)\/(-23) + (-122)\/(-1403). Suppose 4*d = 5*s + 35, -l*d - s = -0*d - j. Solve -d*p - 9 - 1 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, o: 5}. What is prob of sequence ovv?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 213 - 213 - 12*k to x + r*k and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 4:23 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -158223*x**2 + 197290*x wrt x.\nAnswer: -316446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1846 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30513 - -1523?\nAnswer: 32336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*q - 7, 4*q + 19*n = 17*n + 2. Let t = -4 + 10. Which is the biggest value? (a) t (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1625 + -1632. Let f(n) = -7 + 4 - 15 - 17*n. What is the hundreds digit of f(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x. Let w(s) be the second derivative of -1\/4*s**4 + 0 + 15*s + 0*s**3 + s**2. What is c(w(t))?\nAnswer: 6*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 7*r - 2*d - 392 = 0, 0 = r - 2*d - 195. What is the derivative of -197*o + r*o - 2 + 129*o**4 - 40*o**4 wrt o?\nAnswer: 356*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -724*n - 3134. Does 19 divide m(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, k: 11}. Give prob of sequence kwk.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-15) + (-17)\/85. Let b = -100.6 - -99.6. Put b, i, 1.2 in increasing order.\nAnswer: b, i, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -891969\/73 - -12219. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33659266?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2203, -2198, -2193, -2188?\n\"Answer: 5*f - 2208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*p - 165, -5*i + 365 = -i + p. Calculate the highest common factor of i and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1873091, -1873681, -1874271, -1874861?\nAnswer: -1875451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.52379 millimeters to kilometers.\nAnswer: 0.00000052379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*n - 1980008, -140759 + 1130739 = -q - 5*n. What is q rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(-1 + (sqrt(832) - 5*(2 + sqrt(832))) + sqrt(832))**2 + 1)*6.\nAnswer: 9504*sqrt(13) + 136998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - 0.3. Let b = -2.654 - -0.654. What is the third biggest value in 6\/11, -5, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -6, 168, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-432)\/(-84) + (-2)\/14. Suppose u + 0 = p. Solve 5*f + 2*q + p = -2*q, 2*f + 2 = -4*q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/5 - 1882*t\/5 + 52896\/5 = 0. Calculate t.\nAnswer: 29, 912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -20*x**2 - 989*x + 2454. What is l(-51)?\nAnswer: 873","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29265 - -526625\/18. What is the common denominator of t and ((-700)\/192 + 4)\/(2\/(-28))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 3. Let m(f) = 5*f. Let k be m(-2). Let r be l(k). Let x(q) = 17*q**3. Let a(c) = 136 + 8*c**3 - 136. Give r*a(j) + 6*x(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6 - 591\/(-9). Suppose m = 4*o + 10. Suppose 2*l = 4 + o. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 - -120. Suppose -3*i - o*g = -2 - 58, -4*g - 80 = -4*i. Calculate the lowest common multiple of (-1 - -2) + (19 - 0) and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 12*t + 14. Determine w(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*c + 27090 = 0, -3*x + 67*c = 68*c - 20320. What are the prime factors of (x\/9 - -2)*(-6)\/(-4)?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285336128 by 224.\nAnswer: -1273822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 s when four letters picked without replacement from {s: 8, i: 1, k: 1, y: 1, l: 1}?\nAnswer: 56\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 20. Let n = -14.982 - m. Let u = n + -0.048. Is -2\/9 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.57 * 53.\nAnswer: -295.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 528951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*(v\/((v*v**(4\/5))\/v))\/v)\/v)*v)**(-33)*(v*v**(-14))**(-13))**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2 - 7*a**2 + 2 - 4. Let u(w) = -2*w. What is c(u(y))?\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 548*26*5\/40 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 4:12 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by (-158)\/(-10) + (-32)\/(-160).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 178, 261, 402, 613, 906?\nAnswer: 1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16399559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-182))\/((-1419)\/516).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + -535?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585170 is divided by 509?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(13\/6)\/t)\/t*t)\/((t*t**4)\/t*t)*((t\/t**(-23))\/t)**43)**(-1\/12) assuming t is positive.\nAnswer: t**(-5911\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20609 and 63762018.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -14.47, -13, 256, 0.5, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.77873435 rounded to 1 decimal place?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 11:10 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 0*s - 18\/35*s**5 + 83 - 176\/21*s**3 - 4*s**2 - 75\/14*s**4. Factor a(n).\nAnswer: -2*n*(n + 7)*(3*n + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 38413 + 14878 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 791943 or 791944?\nAnswer: 791943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -610, -1379, -2456?\nAnswer: -3841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + x)*(-4 - 1 + 3)*(5*x - x + x).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5454 + -87259\/16. Which is bigger: v or -6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.32 + -2.32. Let j(b) = b - 2. Let q be j(2). Let u be ((-2)\/(-1) - q)\/(-7). Is u bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127242252 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1625064.\nAnswer: 1625064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**3\/3 + t - 1. Let j be (-18)\/4*(-120)\/(-90). Let n(a) = 2*a**3 - 6*a**2 + a - a**2 - 9 + 3. Calculate j*o(h) - n(h).\nAnswer: -2*h**3 + h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**2 - 1035*u - 2550.\nAnswer: -3*(u + 170)*(2*u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 458809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -10563 - 10585 + 4*r + 21211. Let w(g) = 4*g**2. Determine u(w(c)).\nAnswer: 16*c**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x. Let z(j) = 2*j**2 + 377. What is z(p(d))?\nAnswer: 8*d**2 + 377","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*a = -97*a - 74965. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + 12. Let l(p) = p. Determine 4*l(d) + x(d).\nAnswer: 2*d + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/7 + -5\/14. Let b = -141.9 + 130. Let l = b - -10.9. What is the biggest value in -3, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + (-44)\/(-16))*(-1352)\/(-2)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 325, 3 in decreasing order.\nAnswer: 325, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x - 1. Let i(u) = -2*u**3 + u**2 + 11*u + 2. Calculate -3*c(d) - i(d).\nAnswer: 2*d**3 - d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*i + 101 = 0, 5*w - 2*i = -0*w + 147. Suppose -2*f + w = 5*a, -3 = 2*a - 5*f + 2. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**4 + 19*z**2 + 942*z?\nAnswer: 12*z**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 8 + 2 = 0. Find the common denominator of 1*287\/154 + z and 19\/34.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*8855.\nAnswer: -531.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 215042 - -450?\nAnswer: 215492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/37 (b) 12 (c) 1 (d) -24 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 16. Let o be a(-14). Find the third derivative of 8*z**5 + 117*z**5 + 89*z**o + 33*z**5 wrt z.\nAnswer: 9480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 9:06 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*y**2 - 17*y**2 + 16*y**2)*(0 - 2 + 3) + (-4*y**2 + 5*y**2 + y**2)*(-2 + 2 - 2) in the form f*y + i*y**2 + p and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**2 + 0*y**7 + 0*y**3 + 0*y + 1\/112*y**8 + 0*y**6 - 1\/60*y**5 + 0*y**4 + 0. Find the third derivative of b(t) wrt t.\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9960 and 41168.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-203)\/49 - -4 - 649175\/(-161)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113 and 565.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1094564 (base 10) to base 13.\nAnswer: 2c4293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1826+876512716\nAnswer: 876514542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 43*c - 325. Let g(r) = -10*r + 75. Let q(u) = -26*g(u) - 6*z(u). Let o(y) = -y. Let h(t) = 30*t. Let k(l) = -2*h(l) - 90*o(l). Calculate k(q(i)).\nAnswer: 60*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(3\/63*-3). Let o be 1\/2*(-28)\/(-2). What is the highest common divisor of o and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 19*y = -198696. Let u = 17935 - y. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (5*2*sqrt(133))\/sqrt(7))**2.\nAnswer: 40*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/3469 (b) -0.5 (c) 5 (d) 0.5 (e) -3 (f) -0.4 (g) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3318486 + 3318476.999948. Let x = -9 - z. Round x to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**3 + 0*r**3 - 3*r**3)*(262 + 261 - 2*r - 546) as a*r**2 + v*r + i*r**4 + o + l*r**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97401?\nAnswer: 3, 32467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 1.1, 2, -5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 + 2*q**4 - q**4 - q**4 - q**3 + q**3 + (3*q**2 + q**2 - 6*q**2)*(0 + 2*q**2 + 0) + 4*q - 4*q**4 + q**4 + 2*q**4 - 2*q**3 - 2*q**3 + q**4 + 2*q**3.\nAnswer: -3*q**4 - 2*q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a**4 + 2*a + 14*a - 2*a**4 wrt a?\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31, -213, -685, -1591, -3075, -5281, -8353, -12435?\n\"Answer: -24*a**3 - a**2 - 11*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 50 + 159 - 58 - 31*z.\nAnswer: -31*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2907 + -2940. Suppose 0 = 2*l + 105 - 27. Let k = m - l. Let h(w) = w**3 - 6*w**2 - 2*w + 2. Give h(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 + 8 + 3)*2 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyymymiyyymmylqliyy. Give prob of sequence lmq.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18924845 to the power of 1\/2, to the nearest integer?\nAnswer: 4350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6621 + 6675 = 6*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2119 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 5153?\nAnswer: 17\/5153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 10*j - 6. Let l = -174 + 183. Determine b(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26817 and 910.\nAnswer: 3486210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = c + 21. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.4+-7204\nAnswer: -7201.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -354*x + 4. Let j(n) = 480148*n. Calculate z(j(b)).\nAnswer: -169972392*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 28 = 80. Suppose -b = -4*u + 22. Suppose -z = -56 - 4. What is the highest common divisor of z and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19218 + -15936. What is the highest common divisor of 4 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -58*t**3\/5 - 15598*t**2\/5 + 300704*t\/5 - 20664\/5 = 0.\nAnswer: -287, 2\/29, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99114 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 12:47 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000266652 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 13*s**2 + 8*s + 5. Is l(-4) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + -4.97. Let i = 33\/100 - 2\/25. Let r be (4 + 54\/(-14))*7. Sort r, 0, s, i in decreasing order.\nAnswer: r, i, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 310.99 - 311. Let q = 30.5 - 23. Let m = q + -8. What is the nearest to -1 in m, x, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14085, 14178, 14339, 14574, 14889?\nAnswer: 15290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 18*p**2 - 41*p - 17. Let c be x(-20). Solve c*g = -3*m + 5*g + 6, 4*g + 12 = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 40 = 4*t + t, 0 = 3*t + 4*a + 11. Suppose u - t*p - 15 = 0, 2*u + 5*p = p. Let l(x) = -x**3 + 7*x**2 - 8*x - 1. What is l(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-660)\/36036*-1001 + 20\/(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0 - 8. Let h(a) = a**2 + 8*a + 6. Let w be h(l). Suppose w*y = 2*y + 2036. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-78)\/15 - -4)\/(9\/120). Let i(w) = -w**3 - 18*w**2 - 31*w + 20. Determine i(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - v = 3*v - 208, -2*v + 2 = 0. Let t be ((-40)\/(-2))\/(-50 - j). Solve 4*c + t = 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465238.\nAnswer: 2, 37, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - 1*(sqrt(396) + 0))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + -4.7. Let n = -0.028 - 2.172. Let q = -2.1 - n. Is q >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 10*k - 3. Let h be a(4). Suppose m - 3 = -q + 2*m, -2*q + h = -5*m. Let p = 0 - q. Solve 0 = -p*y + t, 3*y + 0*y - 2*t = 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 700*v - 62. What are the prime factors of o(4)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1219 + 9713\/8. Find the common denominator of u and 46\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 2 = 14*j. Which is smaller: j or -3\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 32*m**2 - 1. Give p(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -8. Suppose 2 = -2*d + l. Suppose -4*h = 1 + 7. Sort -3, d, h in increasing order.\nAnswer: -3, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2 + 2 + 2*w**2. Let m(r) = r - 4. Let c(g) = -17*g - 24. Let z(y) = -c(y) + 6*m(y). What is a(z(v))?\nAnswer: 1058*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 = -29. Let w be 30\/225 + (-356)\/c. Let b(t) = -t**3 + 3*t**2 - 2. Let v be b(2). Solve i - w = -v*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.22\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -31322 (b) 1 (c) 4\/5 (d) 1\/3 (e) -0.4 (f) 2\/5 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 8*o**2 + 4*o**2 + (0 + 1 + 0)*(o**2 + o - o))*(-7 + 7 + o)*(-4*o + 0*o + 2*o + (o + 0*o + o)*(-4 + 1 + 4) + 0*o + 0*o + 2*o).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 90. Suppose 28 - 88 = 5*w. Calculate the remainder when q is divided by (-252)\/(-16)*(-16)\/w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84686, 84685, 84684, 84683, 84682?\nAnswer: 84681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 150200 (base 6) in base 4?\nAnswer: 3133320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(4\/11)*x)\/((x*x**(2\/55))\/x*x))\/(x\/((x**(1\/19)\/x)\/x)*x**(-1)*x) assuming x is positive.\nAnswer: x**(-2738\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 1:09 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*4\/12*5. Solve 9*c + j = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 166 - 26. Let f = 67 - y. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - 1 - (-17)\/((-102)\/45). Put -334, t, -2\/3, 2 in decreasing order.\nAnswer: 2, t, -2\/3, -334","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s + 5*s - 28*s = 147. Suppose -10 = -5*h - 3*z, -5*z = -5*h + h + 8. Let u(l) = -7*l**h + 5 + 2*l**2 - l**3 - 1 - 2*l. Give u(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y = 29*y - 31*y - 273 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8369717.\nAnswer: 227, 36871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k + 5. Let q be n(1). Solve -6*c - 6 = -3*c - q*d, -2*c + d - 4 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87159 * -0.122.\nAnswer: 10633.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -759 - 1684050.\nAnswer: -1684809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3975591 to three dps.\nAnswer: -0.398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Suppose -2*d - 2 = -3*p, u*d - 4 = 4*d - 2*p. Let j be 4\/(-50)*(d - -6). Which is the smallest value? (a) j (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5311156780 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -23. Suppose -p = 4*p - v. Suppose 0 = 3*z - 1 - 14. What is the highest common divisor of p and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69795.2 - -69794. Let u = -115\/4 + 29. What is the closest to -2 in u, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10720 - -2599. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -4*c + 36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 + 1)*(-2*h**3 + 0*h + 0*h) + 2*h**3 + 6*h**2 - 6*h**2)*(h**2 - 5 + 5).\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -0.015\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjg when three letters picked without replacement from smsjggsssmggmsgsjgs?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18c2 (base 14) in base 8?\nAnswer: 10602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 5*t + 6. What is the least common multiple of 2\/(2\/5) + 1 and k(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 9*y**2 + 8*y - 2. Let b be o(6). Let i = -196 - b. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195 - 778.4335\nAnswer: -583.4335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - v - 9. Let z be w(-3). Let y be (69 - 12) + z\/1. Calculate the highest common divisor of 36 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112142 - -12?\nAnswer: 112204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 + 338*z**2 - 2069*z - 236833. What is r(-171)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**17*m\/(m\/(m**(-16)*m)) assuming m is positive.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + -61. Let o be ((-3)\/(-6))\/(6\/4). Let d = -0.28 - 3.72. What is the closest to -0.3 in o, y, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/(-19) - 0 - 230\/2185. Sort r, 4, -191 in descending order.\nAnswer: 4, r, -191","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -159*u**4\/8 + 313*u**3\/3 - 371*u**2. What is the derivative of h(v) wrt v?\nAnswer: -477","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 3*y = -27*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + z + 1096 = -2*v, 1096 = -4*v + 5*z. Let l = -454 - v. Let s = l + 313. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o**3 - 4*o**2 - 2*o - 1. Suppose -8*z + 11 = -5*z - 5*y, 2*z + y - 16 = 0. Let j(i) = -11*i**3 - 7*i**2 - 3*i - 2. What is z*r(m) - 4*j(m)?\nAnswer: 2*m**3 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 1377 = -3*h, 345 = 29*i - 27*i + h. What is the greatest common divisor of i and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**3 + 6*y**3 + 3*y**3 + 12*y**3.\nAnswer: 34*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 513?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60454 and 6367942.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005655 to five decimal places.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8*5\/(-150)*-3\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i - 2. Let x(t) = 7*t + 5. Let z be 4 - (-50)\/(-15) - (-344)\/6. Suppose 6*k + z + 32 = 0. Let s be (6\/5)\/((-2)\/10). Give k*d(j) + s*x(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2*(18\/15)\/(((-52)\/(-65))\/(-2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a millennium in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1760\/(-24))\/(-22)*(-18)\/(-10). Let l(z) be the first derivative of -b + 2*z**2 + 5*z + 1\/3*z**3. Give l(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {g: 1, z: 14}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 - 4*v**2 - 136 - 21*v**2 + 69 - 15*v**2.\nAnswer: -40*v**2 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154228036 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 2*n + 18, -y + 6 = 3*y + 2*n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/47396 and 21\/213569.\nAnswer: 246885764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t - 9. Let i(o) = 4*o. Give i(d(a)).\nAnswer: -20*a - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 9. Let g be a(-7). Suppose g*m + 78 = 5*m. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002590160608 rounded to six decimal places?\nAnswer: -0.00259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.1747 rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 - 5*r**2 - 4*r**2 - 386 - 310 + 1085 - 389.\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**4\/6 + r**3\/3 - r**2. Let w(p) = 9*p - 10. Let v(d) = 5*d - 5. Let n(x) = 9*v(x) - 4*w(x). Give -7*i(u) - 3*n(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*y + 14*y - 15*y)*(-171 - 40 - 56).\nAnswer: 4806*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 5*n + 15, -4*r + 16*n + 16 = 20*n. Sort r, -53, -5, 4 in ascending order.\nAnswer: -53, -5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, -4, -3 in ascending order.\nAnswer: -4, -3, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 851 + -850.9. Which is the nearest to z? (a) 2 (b) 3 (c) -2\/19 (d) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**3\/7 + 24*r**2 + 648*r\/7 + 640\/7 = 0.\nAnswer: -80, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -368 divided by 23?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpf. What is prob of picking 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from bbbkptytbtbmtpkbkbkb?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.4 + -4. Let h = 1 + o. Let w = -2.9 - -3.2. What is the second smallest value in h, 2\/9, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m*n - m*q**2 - 70*m + 2*n*q**3 - 6*n*q**2 + q**3 wrt n?\nAnswer: -2*m + 2*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1204 greater than -1171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 20. Let j be 9*((-20)\/(-6))\/5. Let k be y(j). What is the greatest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 1292895 + 44371 = 0. List the prime factors of o.\nAnswer: 2, 7, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k**2 + 1. Let i(x) = 3*x**2 + 5*x**3 + 3*x**3 - 1 - x**3 - 6*x**3. Let j = -6 + 3. Let t be i(j). Determine v(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-12\/7)*k\/(k\/(k**29*k)))\/((k\/k**(-30))\/(k**(-32)*k)))**42 assuming k is positive.\nAnswer: k**(-1416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/4)\/((1089\/528)\/33).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -220247 + -1299753. Let c be (-15)\/(2\/5 + 608006\/w). What is c rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 0*h**4 + 0*h**3 + 0 - 2*h**2 + 0*h + 1\/60*h**5. Let b(r) = -55291*r**2 - 24*r + 55290*r**2 + 24*r. Calculate b(s(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2 = 2*o. Let x = -0.3 - -0.32. Let h = -2.02 + x. Which is the biggest value? (a) 0.5 (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90281566.88 less than -0.1?\nAnswer: 90281566.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (1 + -7 - (13 + -13 - 10)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/g**11*g)\/g)*g)**(-2\/79)*g\/g**(-4\/7)*g\/(g\/g**(-8\/5)) assuming g is positive.\nAnswer: g**(-919\/2765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 5*t**2 - 6*t - 2. Let n be s(-4). Suppose -2*q = -4*a + 62, 2*q - 7*q = -a + 20. Solve n*m - a = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 276 = 5*u. Suppose 9*n = u + 88. Solve -2*b + n = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + -30 - -48) + -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1094020 and 154.85.\nAnswer: 1094174.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 141, -2, -4, -109930 in decreasing order.\nAnswer: 141, 4, -2, -4, -109930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -6622798 smaller than -72850764\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -4\/7 (c) 10 (d) 0.85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (9 - 5 - 1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16539353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**2 - 53*u**2 + 19*u**2 + 24*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 392, 950, 1644, 2462, 3392, 4422?\nAnswer: 5540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l - 25. Let c(p) = -p**3 - 13*p**2 + 34*p + 50. Let o be c(-15). Let r = l - o. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*o**2)*(0 + 1 + 9).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + c**2 - c**2 + (c - 3*c - c)*(0*c + 3*c - 4*c) + 0*c**2 - 4*c**2 + 2*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.71 + 0.89. Let p = -0.52 + k. Round p to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000228053 rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.5 - -4.5. Let c = -0.37 + -0.03. What is the closest to -1\/4 in c, v, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527868 != 527868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 4) to base 8\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 399340870 and 3955.\nAnswer: 2795386090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7188 and 449794.\nAnswer: 1616559636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 - 75.3. What is z rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1127472 by 283.\nAnswer: -3984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-392)\/(-252)*6\/7.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 - 316 = 44*p + 256 + 114 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -29*c + 5. Give r(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 423 and 9.2?\nAnswer: 3891.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10936 + 152987\/14. Let g = -18741 + 11589. Let t = 157403\/22 + g. Find the common denominator of t and w.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.8 + -2.79158. What is p rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**2 + 344*z = 0.\nAnswer: -86, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 27391358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8499, 32751, 73177, 129777, 202551?\nAnswer: 291499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106.1 - -106.4331. What is t rounded to 2 decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c\/(((c\/(c\/(c\/(c*c\/(c*c*c\/(c\/(c\/c**(-2\/5))))*c*c))))\/c)\/c))*c*c*c*c**(5\/2)*((c**0*c)\/c)**(-2\/73) assuming c is positive.\nAnswer: c**(49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*g - 2*b - 91, -4*g + 195 = -3*b. Let m be ((-126)\/(-210))\/((0 - 6\/(-20))\/30). What is the greatest common factor of m and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1044*v - 1218*v - 1348*v - 820*v - 141760 = 0 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l + 2*l + 15 - l + 0*l**2 + 2*l**2. Let s(y) = 11*y + 1. Let r be s(-1). Is j(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2101.\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691420407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 2*m**2 + m + 2. Suppose -8 = -5*a - 2*p, 0*a - 4*a - 12 = -3*p. Let u be t(a). Factor 3*h**4 - 12*h**4 + 39*h**2 - 18*h**u - 6*h - 6*h**3.\nAnswer: -3*h*(h - 1)*(h + 2)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 4*o, 4*q - 12 = -2*o. Suppose q = 3*s - 4. Suppose 0 = s*w - 236 + 62. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 - -2. Let m = l + 0. Suppose -9 + 9 = -3*u. Is u greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**3*y**3 - 52*u**3*y**2 + 85*u**3 - u + 1022377*y**3 + 28 wrt y?\nAnswer: 6*u**3 + 6134262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i - 3. What is the units digit of u(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from nqqmnqqnquqqnqqnqqn.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/18060*-43*7\/(-2))\/((-23)\/(-4)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15334, 15529, 16058, 17089, 18790?\nAnswer: 21329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 1740 - 672. Let l = f - 153. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 910 and 148997485?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 4*f + 4*f)*(50*f**2 + 45*f**2 - 70*f**2)*(-f + 5*f - 2*f) - 2*f**4 - 3*f**2 + 3*f**2.\nAnswer: -52*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*u = 296*u + 17*a - 750, -3*u - 5*a + 212 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -137966152694.79+-0.4\nAnswer: -137966152695.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58*u + 39*u + 15*u**2 - 198 - 3*u + 7689 + 24*u**2 with respect to u.\nAnswer: 78*u + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(((o*o**(-3\/13))\/o)\/o)*o)*o)\/(o\/o**(-30)))\/((o\/(o*o**(1\/31)))\/o*o*o*(o**(-9\/10)\/o)\/o) assuming o is positive.\nAnswer: o**(-122103\/4030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - 86*f**2 + 98*f + 438. Let l be q(-44). Which is the closest to l? (a) 4 (b) 7\/29 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 1501004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + -1100010101?\nAnswer: -1100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 50?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 0 + 1\/10*i**5 + 0*i - 5\/24*i**4 - 1\/120*i**6 - 78*i**2 + 1\/2*i**3. Give v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701)*-1 - sqrt(1701))\/(sqrt(3) + sqrt(27)\/(sqrt(36)\/sqrt(4))).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 - 3*k. Let j(t) = t**2 + t. Let a = 2024 + -2033. What is a*j(w) - 2*n(w)?\nAnswer: -3*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -140 - -17?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from lvxlsgxvmgvx.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 20 = 5*i + 2*s, 2*i + 5*s = -5. Let w = i + 2. Let t(k) = -7*k - 3. Let c(d) = 4*d + 2. Give w*t(l) - 5*c(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a - 333. Let s(p) = -2*p - 125. Let n(r) = 8*s(r) - 3*u(r). Let v(d) = 14*d + 1. What is 5*n(f) + v(f)?\nAnswer: 9*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:38 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2. Let x(c) = -10*c**2 - 3*c. What is m(x(a))?\nAnswer: 200*a**4 + 120*a**3 + 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 66*a. Let f(m) = 11*m**2. What is y(f(t))?\nAnswer: 726*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.8585 from -40.2.\nAnswer: -39.3415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8 (b) -1303 (c) -1\/5 (d) 4 (e) 1\/5 (f) 5 (g) 3\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(78285*t + 15906*t + 11615*t + 7816*t + 8543*t) to v*t + z and give v.\nAnswer: -122165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*c - 0*n - 18, -4*n + 15 = -c. Let x = c + 5. Let f(p) = -p**3 + 5*p**2 + 6*p + 3. Calculate f(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2592*g**2 - 861*g**2 - 866*g**2 - 864*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 417413156 to the power of 1\/2, to the nearest integer?\nAnswer: 20431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 - 68. Let d(o) = -60*o + 59. Is 35 a factor of d(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csc when three letters picked without replacement from {c: 2, a: 1, d: 1, s: 1, l: 1, o: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0947 and -412.\nAnswer: -412.0947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**6\/120 + i**5\/12 + i**4\/12 + 2*i**3\/3 - i**2\/2 - 2. Let d(u) be the second derivative of x(u). Is d(5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4340 is divided by 2144.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 614700*x - 614696*x - 64, -r - 5*x + 27 = -40 for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -9247.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 159 + -82. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 251980 = 7*r + z - 251662, 2*r + 3*z = -73 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 3. Let y = l + -7. Which is the second biggest value? (a) y (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3. What is the common denominator of 13*7*11\/242 and w - (1 + (-411)\/(-54))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 62 - 2 - 3. Suppose 4*t - f = 77. Let z = 199\/6 - t. Which is the biggest value? (a) -3\/5 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427*f = -440*f + 7475. Calculate the smallest common multiple of 8 and f.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.76 - 2.3. Sort -1\/4, h, -1 in descending order.\nAnswer: -1\/4, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501039?\nAnswer: 3, 7, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 558 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525463200?\nAnswer: 2, 3, 5, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**5\/20 + q**3\/6 + 4*q. Suppose b(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126714?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q. Let w(t) = 5*t. Let r(j) be the third derivative of -j**4\/24 + 6*j**2. Let s(d) = 12*r(d) + 3*w(d). What is s(u(p))?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 8:34 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2164469822.\nAnswer: 2, 1082234911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022107434 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: Which is greater: -1766 or -5297\/3?\nAnswer: -5297\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 103 in 0.7, 2\/13, -4883?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 4. Calculate f(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -215\/2 + 106. What is the nearest to 0 in 0, o, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -3. Let c(x) = 4*x - 1. Let k(y) = 15*y - 4. Determine f*k(w) - 22*c(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1 (b) -2\/15 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/9)*y)\/y*(y\/(((y*y**(-14\/3))\/y)\/y)*y*y)\/y*(y\/(y*y**(3\/11)*y))\/(((y**(-2\/7)\/y)\/y)\/y))**21 assuming y is positive.\nAnswer: y**(6554\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.120926 times -0.49?\nAnswer: -0.05925374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - (9 + (-4 - -5) + 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -452*h**4 + 2*h**3 - 514*h. Let a(m) = 454*m**4 - 3*m**3 + 516*m. Let g(r) = 2*a(r) + 3*t(r). Find the second derivative of g(l) wrt l.\nAnswer: -5376*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*-3*(sqrt(13) - (sqrt(1573) + 0)) + (sqrt(91)\/(sqrt(7)*3) + sqrt(1053) + 2)**2 + -5.\nAnswer: 562*sqrt(13)\/3 + 10183\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 1:11 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17686?\nAnswer: 2, 37, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70482683 by -1.\nAnswer: 70482683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 16*u - 408. Let h be c(29). Solve 0 = -15*o - 4 - h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**6\/220 + v**5\/110 - 5*v**4\/44 + 3*v**3\/11 + 12*v**2. Suppose u(a) = 0. What is a?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -7\/4, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 3*c + 5 + 18)*(-4 + 4 - 1)*(-3*c + 215*c + 37*c) as i + q*c**2 + x*c and give q.\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 41 - (3 + -2*20\/8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19089 = 922*o + 46749 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + 5 + (sqrt(1539) + 1*sqrt(1539))**2 - (-1 + (2*-2*sqrt(1900))**2)*-5.\nAnswer: 158151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from {e: 1, m: 1, s: 1, d: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5180.53 - -685260996?\nAnswer: 685255815.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(-3 - 2 + 3) + 2 - 6 - 3)*(64*r + 7*r - 5*r + 11*r).\nAnswer: -231*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49209.43 millilitres to litres.\nAnswer: 49.20943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -56 times 173\nAnswer: -9688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -999, -950, -899, -846?\n\"Answer: m**2 + 46*m - 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 566*s**2 + 473*s.\nAnswer: 1132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 7 - 4. Let c(h) = h**3 - 4*h**2 + 3*h + 4. Give c(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**9\/168 + 2029*c**7\/210 - c**5\/60 + 3695*c**3\/6 - 310*c**2 - 6*c. What is the third derivative of d(h) wrt h?\nAnswer: 360*h**3 + 48696*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15519291 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 1, -14 in ascending order.\nAnswer: -14, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**7\/1155 - 3*c**6\/220 + 3*c**5\/55 - 2039*c**2. Factor j(i).\nAnswer: 2*i**2*(i - 6)*(i - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97538 < 7510378\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -123 or -129?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*i - 51*i - 254*i - 1 + 1.\nAnswer: 31*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-846)\/(-611))\/(2*1))\/(-54*19\/(-2052))\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1967 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) -4 (c) -2\/5 (d) -0.94 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 54, 51, 48, 45, 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 651?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 1. Let s(i) = -8*i - 9. What is 36*m(l) + 4*s(l)?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 15 = 4*z - 5*l, 0 = -5*z - 3*l + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 9*a + 30 = 0. Let h = a - 13. Is (-8 - (5 - h))*-2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -23068?\nAnswer: 115340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 5, 3, -0.001, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55522*r**3*u**3 - 2*r**2*u**3 - 56190*u**3 with respect to r.\nAnswer: -166566*r**2*u**3 - 4*r*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6559 = 2*q + 3*q + 2*x, 3*x - 1304 = -q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 252, 517, 874, 1311?\nAnswer: 1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5862 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.96677 micrometers to meters.\nAnswer: 0.00006296677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.3, -5, -0.4, -416?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*j - 0. Suppose -42 = j*n - 12*n. Let l = 18 - n. Let k(q) = -6*q**2 - 2. Let o(m) = 13*m**2 + 4. What is l*o(r) - 7*k(r)?\nAnswer: 3*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -270532 and 5.\nAnswer: -270527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158 - -154.24. Let c = k - 0.54. Let r = -4.29947 - c. Round r to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24312 (base 5) to base 6\nAnswer: 12252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 114 + 4149.\nAnswer: 4263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*f = 259*f + 7 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuauufuuuuufaauauuf. What is prob of sequence afa?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2828 at least as big as 2793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 504648827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10110011 (base 2) to base 13\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t**3 - 12*t**3 + 3*t + 1 - 3*t to the form w*t**3 + o*t**2 + u*t + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a = -3. Suppose 2*s = -4*i + 10, -3*s = -3*i - s + 4. Suppose i - 7 = -y. Solve 17 = y*n - a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4827243t to grams.\nAnswer: 482724.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34 and 0.12?\nAnswer: 34.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/22*5\/((-105)\/14).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - k. Suppose 5*r - 7*r = 0. Let p be t(r). Let d = p + 3. Let b(c) = -2*c - 3. Let y(u) = 4*u + 5. What is d*y(v) + 5*b(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 - 73 = -6*v. Let r be -3*(-325)\/v*2. Suppose r = 3*c - 10. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-7)*(-616)\/(-66)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 185\/50*-2. Let l be (-3031)\/945*(2 + 1). Let i = l - g. Which is the second smallest value? (a) -1 (b) 4\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1270489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 106790 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19022 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3*q = -2, -3*w - 12 = 3*q - 0*q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 69. Suppose 3*a = -5*a + k. What is the fourth biggest value in 6\/5, 5, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1498)\/(-98) + -15 + 3*5200\/84. Solve 18*t = -h + 42 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from xhixbirixir.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49150 and 22?\nAnswer: 540650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 68*f - 9241. Give x(135).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3430, 6861, 10288, 13711, 17130, 20545?\n\"Answer: -2*u**2 + 3437*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**2 - 25*q - 9. Let f be h(-6). Let z be 21\/(3 + (-9)\/(-21) + f). Suppose -z*c + 300 = -45*c. Is 25 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 - x**2 + 3*x**2 + (-6 + 3 + 1)*(2*x**2 - 2*x + 2*x))*((-1 + 3 + 0)*(-1 - 3 + 6) + 3 + 1 + 0 - 4 - 2 + 5) as h + y*x**2 + o*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (209\/3135)\/((-32)\/(-8)*(-1)\/10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-14) - 512\/112.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*a + 8*k - 3*k, 0 = k + 4. Suppose -663 = -5*h - 4*m, 3*h - 6*h - a*m + 401 = 0. Calculate the remainder when h is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3 - 13, b - 2*v - 14 = 0. What is the remainder when 158 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 12, y: 3}. Give prob of picking 3 p and 1 s.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9803077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -303 (base 10) to base 12\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 55?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*1*sqrt(832) + 2*(sqrt(832) + -3 + sqrt(832)) - (sqrt(832) - (1*sqrt(832) + 5) - (2*(sqrt(832) - sqrt(832)*3) - sqrt(832))))**2.\nAnswer: -192*sqrt(13) + 19974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1066.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -980 + 11814 = 11*i - 10*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1096 + 4*b + 2671*b**3 + 1096 - 4*b.\nAnswer: 2671*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/4 (b) 69 (c) 1.1 (d) -1.5 (e) 0 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*f**6 + 75741*f**3 - 3*f**2 - 24622*f wrt f?\nAnswer: 2040*f**3 + 454446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 195 divided by -3219\nAnswer: -65\/1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/30 + 7*c**4\/24 - 2*c**3\/3 - 11*c**2. Let b(h) = -h + 1. Calculate 5*b(x) + n(x).\nAnswer: -2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(468) - 2*sqrt(468))**2 + ((-1 + sqrt(208))*2)**2.\nAnswer: -32*sqrt(13) + 1302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 - 5*g**2 + 979*g**3 - 962*g**3.\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, q: 1, s: 3, e: 3}. Give prob of picking 1 g and 1 s.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*f**2*u - 5888*c**2*f + 5*c - 4*f**2*u - 2*f + 12*u wrt c.\nAnswer: -2*f**2*u - 11776*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40.3 + -39.3. Let q = -169.7 + 170. Let x = -3 + 3. Which is the closest to i? (a) x (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -5, 9, -1, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 589950?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, a: 1, u: 4, l: 4, z: 3, w: 1}. Give prob of picking 1 a and 1 h.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i. Let r(d) be the first derivative of -1013*d**3\/3 - 6731. Calculate r(z(y)).\nAnswer: -25325*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7968\/(-1332) + 25\/(-5) + 11)\/(9\/(-27)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-273)\/(-6) - -3)\/((-5)\/(-1040))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w*x**2 + 162*w*x + 1671*w - x**2 - 7632*x - 6189 wrt x.\nAnswer: -2*w*x + 162*w - 2*x - 7632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*((-28)\/8)\/7. Solve 0*s + 0 + 0*s**2 + o*s**3 + 5\/4*s**4 = 0 for s.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -345 + 483. Let d be 1 - (r\/33 + -3). Which is the biggest value? (a) 0.11 (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l + l**4 - 14*l**3 + 14*l**3 + 3*l**4 - 5*l**4 + 0*l**4 + (-4*l**2 + 0*l**2 + 2*l**2)*(0*l**2 + 0*l**2 + l**2) + 0*l**4 + 2*l**4 - l**4.\nAnswer: -2*l**4 - 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1039 - -979. Put i, -4, -0.1 in ascending order.\nAnswer: i, -4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 70*u**2 - 245*u.\nAnswer: -5*u*(u + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -114 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -13\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2666*u - 72765 = 6686*u + 43815 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 7*j**2 - 4*j + 6. What is the units digit of x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 2*r = -10*a - 18, 4*r - 29 = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 4*h + 43. Let m be t(0). What is the highest common divisor of 387 and m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550732319.\nAnswer: 550732319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 10. Let i(l) = 3*l - 27. Let m be i(q). Find the third derivative of -11*c**3 + c - c + m*c**2 + 3*c**3 wrt c.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172045502 to the power of 1\/3, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20755 by -4151.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.96 + -0.04. Let t = p + 11.1. Let f = 0.100009 - t. What is f rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((950\/80)\/19)\/((-10)\/4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a gram in milligrams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 723, 636, 549, 462, 375, 288?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-2600)*80*(-1)\/((-24)\/(-5))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 - 68. Let o(z) = 6*z**3 - 7*z**2 - 4*z + 16. Let y(h) = -6*h**3 + 7*h**2 + 4*h - 16. Let u(p) = t*y(p) + 3*o(p). Is u(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-1\/31)*g\/(g*g*g*g**(-1\/22)*g) assuming g is positive.\nAnswer: g**(-1311\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -28 + 5 + 5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*s + 40 = -218*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/10138 and 23\/1370.\nAnswer: 50690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2091 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 21*t - 5. Determine s(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2452*c + 11035*c + 1592*c.\nAnswer: 10175*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2, 10, 28, 1067?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*v**2 + 0*v**3 + 46*v**2 + 3*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*q + 527534, 4*b - 527582 = 255*q - 252*q. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04 from 723229.\nAnswer: 723228.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00220703782 to six decimal places.\nAnswer: -0.002207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - ((-1)\/1 + 2). Suppose -2*t - 2*n = n + 1, -x*t + 18 = -2*n. Suppose 4*s = -5*g + 128, 127 = t*g - 0*g - 5*s. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 195\/130*74*(-2)\/159. Let d = n - -52804\/37895. Is d at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1\/4 (c) 0.9 (d) 17 (e) 24 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-9) + 184\/(-360).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 2*w + 5. Let m be (152\/(-12))\/(3\/(9 - 0)). Let h = 42 + m. What is g(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -72\/385 and -107\/105.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30893, -30913, -30947, -30995, -31057, -31133?\n\"Answer: -7*k**2 + k - 30887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -296*k + 0*k**2 - k**2 + 271 + 183 + 297*k - 109 in the form x + w*k + p*k**2 and give x.\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (760\/(-25) + -2)\/((-4)\/10). Let d = u + -64. Suppose -d - 643 = -4*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 135585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -144633 (base 12) in base 4?\nAnswer: -1102322013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -202764612 divided by 6\nAnswer: -33794102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**4 - 6*k**4 + k**4 + (172*k**2 + 54*k**2 - 38*k**2)*(11 - 11 + 10*k**2) + 3*k**4 + 7 - 7.\nAnswer: 1882*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -317097 smaller than -317097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 1. Let r(g) be the second derivative of g**4\/12 - 2*g**3\/3 - 2*g**2 - 6*g. What is -2*j(u) + r(u)?\nAnswer: u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 3*l**2 + l + 1. Let k be s(3). Suppose 5*r - k*b - 35 = 0, 3 = 3*r + b - 1. Solve -q = r*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -4884986616?\nAnswer: 4884986614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {c: 2, m: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90601 is divided by 30169.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2269*t**2*u**5 - 231*t**2*u**2 - 3*t**2*u - 7268*t**2 + t - 113*u wrt u?\nAnswer: -45380*t**2*u**3 - 462*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19 (b) -1 (c) 10\/201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 378404 and 123500?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 445.755399\nAnswer: 445.855399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -141287, -564791, -1270509, -2258441, -3528587, -5080947?\n\"Answer: -141107*o**2 - 183*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + 3082 - 3*z**2 + 945 + 3093.\nAnswer: z**2 + 7120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 17*q - 280. What is y(16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1136 - -1140. Let y(k) be the third derivative of 0*k - 4*k**2 + 0*k**d - 1\/30*k**5 + 0 + 0*k**3. Let f(t) = 5*t**2. Determine y(f(q)).\nAnswer: -50*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45401 + 35?\nAnswer: 45440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -52. Let k be 42120\/(-55) - (-4)\/a. Is k\/(-4) - 13\/26 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1198842.222 to the nearest one hundred.\nAnswer: 1198800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 879*-491.\nAnswer: -431589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*d + 9, 10927*d + 3 = 5*l + 10928*d. Solve 4*m = -5*i - l*m, 4*m = 2*i - 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 342\/63 - 6\/14. Calculate the common denominator of 11\/(-56 - (-7 + b)) and -43\/21.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 44 = 2*l + 236, 3*j - 410 = 5*l. Suppose -j = -g - 50. List the prime factors of g.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 243 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103\/30 - 23\/6. Let v = 0.01 - -230.99. Let p = -234 + v. What is the nearest to p in d, -3, -2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4309601 is divided by 123131.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -21. Suppose -15 = -5*r - 2*d, 2*d - 11 = -r - 0*r. Let u(z) = -2*z + 3 - 1 + r. What is u(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 173*l - 4205*l - 1 - 4184*l - 1 to v + j*l and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -729*b**3 + b**2 + b + 1. Let d be q(-1). Suppose -9*x = -14*x + d. What is the remainder when x is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 + 24*s + 17. Let t be p(-7). Let r = 4 - 4. Sort 1, 5, r, t in descending order.\nAnswer: 5, 1, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -49, -3, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6569 = 24*y - 13375. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ad - 4?\nAnswer: 2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three eighths of a decade?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 966449 is divided by 1275.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343*k**4\/2 - 12789*k**3\/4 - 4963*k**2\/2 + 43731*k\/4 + 21789\/2 = 0. What is k?\nAnswer: -9\/7, 2, 269\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(3)*-3 + sqrt(4))*-1)\/(-4*1*sqrt(2) + sqrt(2) + sqrt(10)\/sqrt(20)).\nAnswer: -4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m. Let n be h(-2). Let v = 1 + n. Suppose 4*x = 2*p + 8, v*p = -5*x + 3*x + 4. Which is the third smallest value? (a) -0.2 (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 421 + -358. Calculate the least common multiple of d and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14 and 29\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/3))\/c*c)**(1\/6)*(c**0\/c)\/(c**(3\/5)\/c)*((c**(-5)*c)\/c**(1\/3))\/(c**(-1\/5)*c\/(c\/c**(1\/4))) assuming c is positive.\nAnswer: c**(-847\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8420856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293949 (base 11) to base 8.\nAnswer: 1600376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-28*(-15)\/1120)\/(78\/(-8)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/7 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 12. Give v(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120430 - 120430 + 4443*r**2 to the form o*r + b + v*r**2 and give v.\nAnswer: 4443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s + 0 + 0 + 5*s. Let w(t) = -6*t. Calculate z(w(x)).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31024 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - k + 4. Suppose 0 = 3*m - 6 + 21. Determine b(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -27*z**2 + 4*z - 6. Let o(g) = 9*g**2 - g + 2. Let b(n) = -7*o(n) - 2*y(n). Let i be -1*(-35)\/(2975\/(-10))*17. Determine b(i).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17721*g**2 - 4491*g?\nAnswer: -35442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, k: 4, v: 2, s: 7}. Give prob of sequence sjsk.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2. Let l = -21 + 101. Let f = -82 + l. Let w(v) = 4*v**2 - 2*v. Suppose -3*b = 4*t - 4, -1 = -0*t - t + 2*b. Give f*o(g) + t*w(g).\nAnswer: 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 879, 5, 64, -4, 2, 7, -2 in decreasing order.\nAnswer: 879, 64, 7, 5, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 805951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 15. Let w be f(-7). Let s = -5 - w. What is the remainder when 29 is divided by ((-60)\/(-16))\/(s\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 13*n**3 + n**2 + 3. Let m(g) = -7*g**3 - g**2 - 2. Let d(o) = 6*o**2 + o - 6. Let z be d(-3). Suppose -z = k - 52. Calculate k*m(v) + 4*p(v).\nAnswer: 3*v**3 - 3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-18) - 636\/(-9) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -80410, -80409, -80408, -80407, -80406, -80405?\n\"Answer: v - 80411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -749 + 723. Which is smaller: s or 0.06?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -7*z**2\/2 - 4*z + 4. Let k be t(-4). Calculate the greatest common factor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2756\/17 - 162. Let i(q) = q**2 - 5*q - 7. Suppose -30 = w - 6*w. Let x be i(w). Is r > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w - 9. Suppose -4*b = p - 29, 4*b = 748*p - 743*p - 1. Give l(p).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7470160 to the nearest ten thousand.\nAnswer: -7470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175658328 divided by 4887.\nAnswer: -35944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 11*r + 12. Let j(q) = 2*q + 3. Let w(a) = -5*j(a) + v(a). Let o(y) = -y + 2. Determine 6*o(u) + 4*w(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y + y + 20*y.\nAnswer: 40*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 6*m + 7. Let v be x(3). Suppose -z + 5*w + v = 0, -z = w - 2 + 1. Solve 3*a = u - 10, 0 = a + u + z*u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-18)\/(h\/(h\/(h*h\/(h\/h**(1\/3))))*h)*h**14\/(h\/h**(-21)) assuming h is positive.\nAnswer: h**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q**2 - 5*q. Let f(g) = g**2 - g + 1. What is b(c) - 2*f(c)?\nAnswer: 3*c**2 - 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/3, 5, -2\/5, 1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, n: 4, x: 2, s: 2, z: 2}. What is prob of sequence xx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -231 + 742. Suppose 0 = 3*n + s - 133. Is (22\/(-6))\/(6\/n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eppp when four letters picked without replacement from ppgrpurueuuu?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1724, -3420, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 4:59 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**7\/420 - m**5\/120 - m**3\/6 + 2*m. Let w(t) be the second derivative of a(t). What is the second derivative of w(l) wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-30)*4203\/3736\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 20 = -6*a. Suppose -14 = -s - 5. Let v = -3 + s. What is the remainder when a is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = 5*q + 3*t, -3*t - 240 = 2*q - 180 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (132\/110)\/(6\/170) is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3296*w + 9938*w = -9386*w + 1811164 for w.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 9*r**3 + 2 - 1197*r - 3233*r.\nAnswer: -9*r**3 - 4430*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78 + (418 + -409 - (1 - 11))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1*l*l**(2\/47))\/((l\/(l**(3\/13)*l))\/(l\/(l*l**15\/l))) assuming l is positive.\nAnswer: l**(-7165\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-2 - 0) - -3 - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -81, -162, -275, -420, -597, -806?\nAnswer: -1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14031126 and 40534364?\nAnswer: 364809276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 1\/7 (b) -2\/385 (c) -0.027 (d) 3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*b - 9*b**4 + 0*b**4 + 6*b**4 - 28*b**4 wrt b?\nAnswer: -372*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**4\/7 - 94*z**3\/7 - 7824*z**2 - 2100960*z\/7 - 1036800\/7 = 0.\nAnswer: -60, -1\/2, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 132 = 146. Is (2 + -3 + g)*37396\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78792 and 10.\nAnswer: 393960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 10802220 to the nearest 100000.\nAnswer: 10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 9 + 4. Suppose -s = 2*j - 9. Let y(x) = x**3 - 4*x**2 - 2. Calculate y(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/878)\/(4\/(-12439)). Let s = p - -1\/878. What is the common denominator of -91\/86 and s?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.6 - 6.6. What is the closest to -3\/5 in -5\/6, 4, y?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10a82 - 894?\nAnswer: 101bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1e (base 15) to base 4\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54750691 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 4 - 5)*(2 - 5 + 6)*(-6 - 3 - 2)*(-2 + 6 - 16)*(-2*i - 5 + 5) to the form w*i + y and give w.\nAnswer: -3168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -700 rounded to the nearest 10?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2572 is divided by 233.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -8, -4, -1546, 4 in increasing order.\nAnswer: -1546, -8, -4, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37248 and 4576?\nAnswer: 5326464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85889*w**3 + 80628*w wrt w?\nAnswer: 515334*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -10, 1, 19 in increasing order.\nAnswer: -10, 0.1, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2403 and 69994317.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1146735 and 1530.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 310846853 and 1.\nAnswer: 310846854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17922836.\nAnswer: 2, 31, 144539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/260 + 3\/20. Let m = 22.3 + -26. Let v = 4 + m. Which is the third biggest value? (a) x (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + 13. Is 168\/(-20)*g\/(-2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -170.07 + 172.07. Which is the third smallest value? (a) 25 (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*t - 2, v - 2*t = 9. Suppose 2 + 3 = v*p. Let a(k) be the third derivative of -k**4\/6 - k**3\/6 + 2*k**2. Determine a(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, 116\/3, -3\/5, 2\/3, 2\/5 in increasing order.\nAnswer: -8, -3\/5, 0, 2\/5, 2\/3, 116\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-63)\/(-105)*(-50)\/(-6). Suppose -5*c = n*y - 2*c - 12, 12 = 2*y + 3*c. Solve y*f - f = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76969 or 76968?\nAnswer: 76968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Let u(t) = 0*t - 2*t - x*t**2 - 4 + 0*t. Suppose -10 = 3*a - 5*o, -8 - 10 = 3*a + 3*o. Let r(b) = 3*b**2 + 2*b + 5. Determine a*u(c) - 4*r(c).\nAnswer: -2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p = 66 + 25 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538962923 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/(h\/h**(-4))*h))\/h*h**(-33) assuming h is positive.\nAnswer: h**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143671, -287337, -431003, -574669?\nAnswer: -718335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 484, 605, 738, 889, 1064, 1269?\n\"Answer: m**3 + 114*m + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2. Let x = 48 + -44. Let y(c) = 2*c**2 + x*c**2 - 2*c**2 - 7*c**2. Calculate s(y(f)).\nAnswer: -27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 + 10*k + 5. Let v(y) = 3*y**2 + 8*y + 4. Let z(q) = -4*h(q) + 5*v(q). Let d(n) be the first derivative of -5*n**2 + 3. Give z(d(p)).\nAnswer: -100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 4*p - p)*(3*p**3 + 2*p**2 - 2*p**2) + (36*p + 42*p - 13*p)*(-6*p**3 + 5*p**3 + 3*p**3) in the form v*p + f*p**2 + c*p**3 + g*p**4 + b and give g.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -14) + (-466 - -445) - -53.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27983 or -1?\nAnswer: -27983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3812*y + 3782. Determine z(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -86*r**2 - 20*r + 6651?\nAnswer: -172*r - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -3. Let j be (-3)\/(-5)*2\/x. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1160\/13 or 2\/343?\nAnswer: 2\/343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6*9\/(-10))\/(141\/(-940)). Suppose -c*v = -2*v - 272. Solve -82*d = -80*d - v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1707959.2874 + 0.22.\nAnswer: 1707959.5074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/7*u**2 - 33\/7 + 1\/7*u = 0. What is u?\nAnswer: -3, 11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2*y**(1\/2)*(y**(-1))**(-47) assuming y is positive.\nAnswer: y**(99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*o + 62*o - 196*o)*(-1 + 2 - 2)*(-2*o**4 - o + o).\nAnswer: -158*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 5*sqrt(175)*-2 + sqrt(175))*-5*-3 + -1)**2.\nAnswer: 62100*sqrt(7) + 3191491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - p + 3. Let n be k(0). Suppose 3*b = -1 + 4. Put b, n, 5 in ascending order.\nAnswer: b, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/15 + 106*z**4\/5 - 614*z**3\/15 - 738*z**2\/5 + 2488*z\/15 + 1256\/5 = 0. Calculate z.\nAnswer: -2, -1, 2, 3, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**3 + 45123*b**2 + 45084*b - 541440 = 0?\nAnswer: -15040, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(75) + (sqrt(75) + (sqrt(75) - (0 + sqrt(75))*5))**2).\nAnswer: -1350 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41051\/1732 - 21\/433. Find the common denominator of -77\/13806 and d.\nAnswer: 27612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8172 and 4440?\nAnswer: 3023640","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -12400\/11 + 1129. Suppose 0 = 55*w - 63*w - 8. What is the common denominator of ((-2 - w)*4)\/((-42)\/(-18)) and k?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1533.5 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 6*l - 2*n + 62, -159*n + 51 - 140 + 30 = 5*l - 157*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f - 1. Suppose 4*u + u = 5. Let o be a(u). Does 8 divide 2\/(((-10)\/(-24))\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -339.\nAnswer: 101.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 143*p - 3050 - 3467 - 6353. Factor -189*z**3 + 147\/2*z**4 + 0 - 12*z + p*z**2.\nAnswer: 3*z*(z - 2)*(7*z - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 753129073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + -2 - 2 - (-1144)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139.79 + -8.54. Let a = p - 129. Let j = -0.2 - a. Round j to one dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, -8, 4, 227, -15?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 - 41*y**3 - 26*y**3 - 24*y**3.\nAnswer: -87*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 i when three letters picked without replacement from {i: 1, p: 2, a: 2, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -0.02 (c) 0.5 (d) -11028\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or -576\/43?\nAnswer: -576\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 99505*y - 99500.\nAnswer: -5*(y + 1)*(y + 19900)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/73, 0, 316\/5, 1?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*198\/(-44).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/211567 and 39\/664.\nAnswer: 1692536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11977838 by -122.\nAnswer: 98179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**4 + 63911228*v**3 + 340387131313140*v**2 + 604293699252754082900*v + 1208586036957494203000 = 0. Calculate v.\nAnswer: -5325935, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -2 + (7 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 384 = -140. What are the prime factors of s?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -380, -1309, -2776, -4781, -7324, -10405, -14024?\n\"Answer: -269*u**2 - 122*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, -1102, -3658, -8624, -16804, -29002, -46022, -68668?\nAnswer: -97744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 445\/65 - (-2)\/13. Let b(y) = -139*y - 3. Let z be b(-2). Suppose 2*o - r*o = -z. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 300, 1168, 2606, 4608, 7168?\nAnswer: 10280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03785 + -2.03785. Which is the fifth smallest value? (a) -5 (b) -3 (c) 105 (d) j (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*f + 257*f + 2*j - 23502 = 0, 3*f - 14070 = 4*j. What are the prime factors of f?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8337190093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/72 + (-220)\/416 + (-219)\/13?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2\/6 - 151*m\/2 - 8279\/3 = 0.\nAnswer: -34, 487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 964 = -2*k. Let l(x) = -4*x**3 + 35*x**2 + 53*x - 314. What is the remainder when k is divided by l(9)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33\/5 + 7. Factor 2\/5 + w*u**2 + 4\/5*u.\nAnswer: 2*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o - 8*o**2 - 4 - 7*o**3 - 6*o**2 - 7*o**2 + 24*o**2 + 0*o**2. Let a(k) = -20*k**3 + 8*k**2 - 6*k - 11. Give 3*a(j) - 8*c(j).\nAnswer: -4*j**3 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 2:21 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78539.00059127 - -78539. Round w to six decimal places.\nAnswer: -0.000591","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 17*t - 14. Let u be j(16). Suppose 0 = 3*f + 3*a - 60, f + 2*a = -u*a + 20. Calculate the highest common divisor of f and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15911881 to the nearest integer?\nAnswer: 3989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8335*f + 18 + 8343*f - 49 - 21 + 967*f**2. Let v be y(8). What is v rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1030146 and 171691?\nAnswer: 1030146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 4*k + 5*z - 1, 2*z = -2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 48619.1 weeks?\nAnswer: 29404831680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4906215*p**3 + p**2 + 3*p + 591079?\nAnswer: 29437290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**6\/10 - 11*j**5 - 63*j**4\/2 + 6*j - 42. Find the third derivative of i(m) wrt m.\nAnswer: 72*m - 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-7))\/(2\/65*(-300)\/280).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - (-483)\/63)*(0 + 1 - -1115). What is the highest common factor of g and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -538 - -540. Suppose 3*b = h*z - 189, 2*z - 285 = -z + 5*b. What is the smallest common multiple of z and 15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-6)\/16*-8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 207\/(-24981)*(-35458)\/(-64). Let m = v + -1\/24224. What is the common denominator of m and 51\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -131 + 127.47. Let h = n + -29.37. Let g = 32.90000333 + h. What is g rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*w = -104, 5*c + 7*w - 572 = 8*w. Let x = -30 + c. Calculate the highest common factor of x and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g. Let v(z) = -4*z**2 + 612. Give v(u(d)).\nAnswer: -16*d**2 + 612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 57*g - 153*g - 13 + 57*g - g**2 + 49*g. Let t be h(8). Solve t*m = 3 + 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 54\/5 of a kilometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1143*b - 10984 = -4724 + 6588 + 3154 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21*8\/(-28))\/(-28)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**6\/24 - 9*y**5\/10 + 33*y**4\/16 - 4*y**3\/3 - 941. Factor p(k).\nAnswer: k**2*(k - 16)*(k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 - 8*a**2 + 8*a - 29. Let k be g(4). Solve 23 = -3*y + 5*n, -y + 4*n = -k*y + 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 16*i**2 + 32*i + 16. What is the units digit of a(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + o**2 - 4. Let f be g(2). Suppose f*v - 4*v - 16 = 0. Let u be -3 + (7 - v) + -1. Let k(w) = -6*w**3 + w + 1. What is k(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636542 divided by -543?\nAnswer: -636542\/543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + n. Let j be s(-1). Let f = -6 - -9. Let l = f + j. Solve -l*d + 2*d = 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 - 14*d**2 - 129*d + 97. Determine s(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6*4\/30 - 2\/(-5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -1.2. Let z = -2193 + 2192.97. What is the third smallest value in -2, z, -1, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10, -32, -78, -160, -290, -480, -742?\n\"Answer: -2*c**3 - 8*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 6 + 6. Solve -2*a = d*m - 0*m - 14, -2*m + 5*a + 25 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 31*d**4\/4 - d**3\/3 + 48*d**2. What are the prime factors of g(2)?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1593 - 5142 = 315*n + 134*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 4*k - 3*z, -3*z + 12 = -k + 37. Let w = k + -6. Let l be ((-26)\/6)\/((-1)\/3). What is the highest common factor of l and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 625 divided by -5.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31559 and 764060?\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -0.1. Let l = 0.614 + 2.456. Let u = 0.07 - l. What is the closest to -2 in u, h, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297\/165*(-75)\/(-540).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/6 + 364*x**2\/3 - 211123*x\/6 - 105925\/3.\nAnswer: (x - 223)*(x + 1)*(x + 950)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 446.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0578 and 4.\nAnswer: 3.9422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*g**3 + 39492*g**2 - 55695003*g - 15916082.\nAnswer: -(g - 2821)**2*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + -0.1. Let p = -161 + 161.2. Let k = v + p. Which is the third smallest value? (a) 0 (b) k (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1\/68018619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 459 and 16308.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-3)\/45*3). What is the second smallest value in z, 0.04, 0.1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.747 - 10.\nAnswer: -17.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -50594*j + 3136841. Give p(62).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 2, 5, -4, 3 in decreasing order.\nAnswer: 5, 3, 2, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.08337\nAnswer: 0.16674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*s - 13, 0*s + 2*s + o + 7 = 0. Let b = -0.41 + 0.11. What is the nearest to -1 in b, -2\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131406 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1482000 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -254, -389, -528?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - l**2 - 884*l**3 - 2*l**2 - 367*l**3.\nAnswer: -1251*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*t - 39*t + 429 = -112*t. Sort 4, 75, -1, t in descending order.\nAnswer: 75, 4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16622531*i**5 - 203*i**2 + 11082*i + 2 wrt i.\nAnswer: 997351860*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 4*p**2 - 4*p + 5. Let m be -1*(309\/(-15) - (-2)\/(-5)). Let v = 16 - m. Let n be b(v). What is n rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2588 + 352. Suppose 11*j - 16*j + x = 0. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -840 + 74*l + 840 + 3*l**3 + 4*l**2 - 74*l. Let c(v) = -12*v**3 - 15*v**2. Give -2*c(s) - 9*f(s).\nAnswer: -3*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 581 - 6967\/12. Let l = 1\/4 + a. Factor 0 - 2\/3*f**2 + l*f.\nAnswer: -2*f*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1730 (base 13) to base 7.\nAnswer: 12653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 4.8268\nAnswer: 19.3072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 465? (a) 2\/7 (b) 5 (c) -3 (d) 1 (e) 117 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 25. Suppose 9*c - 4*c - o = 0. Suppose 4*g = -3*k + 14, 1 = -g + 2*k - c. Solve -5*u - 3 = -4*h, 4*u = 5*h + 1 + g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17093?\nAnswer: 17093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 1. Let t = b + 1. Let h(l) = -l**2 - 7*l - 4. Calculate the lowest common multiple of h(t) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 0 + -4)*-3.\nAnswer: -6*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*t = 1949 - 129 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 55\/25*3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/15*-3*(33 + -13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -159, -264, -397, -564, -771, -1024?\nAnswer: -1329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 8. Solve -5 = -f*h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, e: 2, l: 3, v: 1, r: 1, j: 3}. Give prob of sequence ruu.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*v = 17, -5*d - 3*v + 34 = 39. Let k = -7 - -7.5. Sort k, 5\/2, -0.1, d.\nAnswer: -0.1, k, d, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16943 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - a - 982 + 369 = 0, -2*a = j + 119. Let y = 136 - j. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 2, -5 in decreasing order.\nAnswer: 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -242260?\nAnswer: 242266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172178 is divided by 844.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/112*4\/16*(-1078)\/11?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*y + 135*y - 318 - 1912 = 0. Solve 4*d = 2*u - 24, 0 = 5*u - y*u + d + 15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.61 - 145.68097.\nAnswer: -182.29097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/12)\/((-8)\/12). Put -2, 2, h in descending order.\nAnswer: 2, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 7*f - 1. Let w be k(-6). Suppose -858 = w*t - 2843. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12090901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vethvhehevetqtb. Give prob of sequence tq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5 + 16*n**4 - 38*n**3 + 16*n**2 + 40*n - 32 = 0. Calculate n.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*n - 18. Suppose -14*a - 360 = 22*a. Let h = a - n. Which is smaller: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12362511 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 28 - 2. Put 2, u, -1, 3 in increasing order.\nAnswer: -1, 2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**3 - 8*s**2 + 2*s + 6. Let a(x) = 5*x**3 + 9*x**2 - x - 7. Give 6*a(g) + 7*n(g).\nAnswer: 2*g**3 - 2*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8633 = 3171*m - 2956*m + 7277 for m.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/2 and 188\/48 + 3\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 7. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 5. Determine i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/200*4\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 + 481*g - 105*g**3 - 481*g + 0*g**2.\nAnswer: -105*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 1337*o + 708. Determine d(0).\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-13))\/(g**25*g)*(((g**(2\/15)*g)\/g)\/g)**(-12\/7) assuming g is positive.\nAnswer: g**(-368\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 - -0.23. Let j = n + -0.200032. Round j to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b - 25*b**2 + 11*b - 3*b.\nAnswer: -25*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, z: 17}. Give prob of picking 1 z and 2 s.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/2*15\/(-175).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 77*o = 83*o - 10, -3*q + 2 = -2*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 214851 and 113841.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1677114 (base 8) to base 16\nAnswer: -77e4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + 39 - ((-131 - -1) + -42 + 44).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/25975 and 51\/30131.\nAnswer: 753275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4341431, -4341430, -4341429, -4341428, -4341427?\n\"Answer: l - 4341432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5587 (base 15) in base 5?\nAnswer: 1040002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 20 = 5*h, h + 0*h = 2*p - 5. Suppose 3*x = j + 8 - p, -5*x + 25 = j. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-83*o**3 + 4863*o**3 + 119*o**3 - 9*o**2 + 9*o**2)*(18*o - 10*o + 9*o) to the form n*o**2 + k*o**3 + x + g*o + a*o**4 and give a.\nAnswer: 83283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/((-868)\/217)*(-28)\/49.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, w: 2, i: 6, p: 1, c: 1, m: 3}. What is prob of picking 1 w, 1 p, and 1 z?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 11 - (-6)\/(-2). Let x be (4\/(-8))\/(4\/(-40)). Suppose -k + 1 = -x. Solve 4*r + k + p = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 70.14337 hours?\nAnswer: 4208.6022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2402 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 10:37 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -15*d + 10*d. Suppose 3*s + 2*b = 10, -4*s + 17 = -d*b + b. Suppose -s*g = g - 1115. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794409 is divided by 251?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39849 divided by 13283.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a2780 + 3?\nAnswer: -a277a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 69, -3, 43394, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 9*b - 10. Let w(v) = 8*v - 9. Let c(x) = -4*g(x) + 5*w(x). Let l(q) = q**2 - q + 1. Determine c(t) + 3*l(t).\nAnswer: -t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u + 6. Let j(s) = 2. Calculate b(t) - 2*j(t).\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -6, 1 in ascending order.\nAnswer: -6, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c**3 + 79*c**2 - 22*c - 119. What is y(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*s + 11, -5*s = -4*h - 0*s + 17. Let f(u) = u**2 - 3. What are the prime factors of f(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a. Let g(m) = 1. Let i(c) = -3. Let p(s) = -2*g(s) - i(s). Let k(x) = -6*x + 18. Let f(n) = k(n) - 18*p(n). Calculate f(o(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5, 4*z - 3*q - 89 = -24. Let y = 62 - z. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -7, -0.4, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -6. Let l = c - -1.9994. Round l to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11158527*i**2 + 11158494*i**2 - 22317012*i**2.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 17, -1 in decreasing order.\nAnswer: 17, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 750?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.304 rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -682*w - 4092. What is q(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 790?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 125006 * -0.8.\nAnswer: -100004.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4186 (b) 2.3 (c) 0.1 (d) 0.3 (e) 0.4 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 9 - 177 = 0. Let k be (b\/(-8))\/((-3)\/24). Let m be 3\/(-4)*32\/k. What is the smallest value in 0, 2, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.45 + -0.05. Let o(z) = 4*z**2 - z - 3. Let w be o(-2). Let m = w - 16. Which is the third smallest value? (a) -5 (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124342524 (base 6) in base 15?\nAnswer: 337737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 23 = -9. Let f = 80 + -718\/9. Let r = -83\/3 - -28. Sort r, f, h in descending order.\nAnswer: h, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -3\/6451073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 388 - 31. Calculate the remainder when r is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 374*a + 374*a - 104*a**2 as f*a**2 + k*a + p and give f.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 631 divide 12825075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.07 (b) 3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 4, t: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -13a6773e?\nAnswer: 13a6773f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l**3 + 43*l**2 - 4*l - 2. Let f(i) = -3*i**3 - 21*i**2 + 2*i + 1. Let h(c) = 7*f(c) + 3*k(c). What is h(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15079.98nm in kilometers?\nAnswer: 0.00000001507998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 8:09 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/(-44))\/3 - (-1984)\/22. Suppose -y = -2*t + 122, -2*t - 4*y - b + 222 = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.94 in 1, -2, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 23 (b) -3\/2 (c) -3\/5 (d) -4 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 103, 99, 85, 55, 3, -77, -191?\n\"Answer: -y**3 + y**2 + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/3*u + 2\/3*u**3 + 14\/3*u**2 + 16\/3.\nAnswer: 2*(u + 1)*(u + 2)*(u + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10665153 - 4?\nAnswer: -10665157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(396)*-2 - sqrt(396)) + 2 + 6*(sqrt(396) + -1 + -4))**2 + 3.\nAnswer: 336*sqrt(11) + 1183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -426 divided by 6\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15657 divided by 262.\nAnswer: 15657\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.07, -1.6, -1, -5, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1313*c + 39403 = 1320*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 6 + 4)*(-d - 2*d**2 + d) - 3*d**2 - d**2 + 2*d**2 - 2*d**2 - 3*d**2 + 3*d**2.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 + 570*m**3 + 1736*m**2 - 2304*m.\nAnswer: -2*m*(m - 288)*(m - 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -192898 or -192849?\nAnswer: -192849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 145382433 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: Express (4*m**2 + 0*m**2 - 2*m**2)*(-1 + 2 - 2) + (-2*m - 11 + 11)*(-47*m + 223*m + 296*m) as k + q*m + u*m**2 and give u.\nAnswer: -946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -7088.17794 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 5:20 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5*t + 2238, -5*d + t = -1679 - 9589. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21566 + -323489\/15. Let n(v) be the third derivative of b*v**5 + 28*v**2 + 0*v + 0 - 1\/2*v**4 + 0*v**3. Factor n(t).\nAnswer: 4*t*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c - 1. Let y be r(-1). List the prime factors of (3\/1)\/((-12)\/y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - -31900968.\nAnswer: 31900960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3440423436 to the power of 1\/2, to the nearest integer?\nAnswer: 58655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2210389 - 829611 = -8*r. Round r to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2)\/(15\/(-40)). What is the units digit of (-12)\/(-3) - (-16 - l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -16*r**3 - 2*r**2 + 2*r + 3. Is j(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 369*g**5 + 40*g + 11.\nAnswer: 7380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 99224*y - 198876*y + 99324*y.\nAnswer: -328*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 3927 - 3927.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16828, -33472, -50144, -66850, -83596, -100388, -117232, -134134?\n\"Answer: -p**3 - 8*p**2 - 16613*p - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12831, 14153, 15475, 16797?\nAnswer: 18119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 40744509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 1083.\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -139, -1013, -3385, -8005, -15623, -26989, -42853?\n\"Answer: -125*s**3 + s**2 - 2*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 + -32. Find the common denominator of ((-786)\/g - -3)\/(0 + -1) and 35\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -183*o**3 + 1392*o**2 - 1868129 with respect to o.\nAnswer: -549*o**2 + 2784*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*b**3 - 7*b**3 + 13*b**3.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 1602 - 1186 = 66*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 - 628316*p\/5 - 628318\/5.\nAnswer: 2*(p - 314159)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + 4*sqrt(343)*1 + -4))**2.\nAnswer: -11200*sqrt(7) + 138800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*n**4 + 1922*n**2 - 11 + 199*n**3 - 1910*n**2 - 225*n**3 wrt n?\nAnswer: 360*n - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -18\/11 (c) 443\/158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 1 + 9 = 0. Let b(u) = 4*u - 2. Determine b(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 444 and 11?\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, -1\/2, -2\/19, 11, -3, -1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9281 in 31, -4, 2\/29?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 5*d + 6. Calculate g(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3295 is divided by 3253.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -12*s**2 + 5*s + 6. Let p be g(-1). Let q(f) = -f**2 - 16*f - 32. Let v be q(p). Solve -v*b = -24*b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = 4*x - 134. Suppose -24 = 2*p - x. Suppose p = 4*c - 26. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-15))\/(6\/15). Suppose -22 = 4*m + v. Let u be (-69)\/(-9) - m\/(-9). Solve 2*r + 10 = u*r + 3*x, -3*x - 8 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**6\/120 - 7*k**5\/15 + 35*k**4\/24 + 22*k**3\/3 - 45*k**2. Let b be w(26). Let x = 599 + b. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2446 or 1956?\nAnswer: 2446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 618029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52385423\/42322090 + 7\/159706. Let u = 1160 + -61482\/53. Let z = j - u. Which is the third biggest value? (a) 4 (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -20*(-84)\/18*(-6)\/(-5). Let p = -52 + v. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t = 12. Let k(n) be the third derivative of n**5\/60 + n**3\/3 - 2*n**2 - 871. What is k(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - 3*h**2 + 3*h - 5. Let z be b(2). Let y(m) = m**3 - 7*m - 5. Is 22 a factor of y(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/6)*p*p**(1\/3))**(1\/49)*(p**1)**(-11)\/(p**2\/p*p*p**(2\/13)) assuming p is positive.\nAnswer: p**(-7169\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -93133425.7 rounded to the nearest one million?\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1379*j - 919809. Determine h(667).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v - 6*v + 2*v + v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 234 = 3*a, -2*r + 143 = -3*a + 387. Suppose 0 = 4*v + 6*v - a. Is 3 a factor of (-6)\/v - (-2413)\/76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/57, 2, 3, -1\/8, 9666?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223123 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2. Suppose -h = 4*y - 14, 5*h = -y + 12 + 1. Suppose -d + 3*p = -6, 17 = 3*d - h*p - 8. Let x(j) = -9*j + d*j + 2*j**2. Calculate x(l(k)).\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8365 + -0.31?\nAnswer: -8365.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/22386 and 21\/1926098.\nAnswer: 525824754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x. Let f(c) = 840*c**2. Calculate i(f(h)).\nAnswer: -5040*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 9588113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, z: 1, k: 4, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20412 and 945.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 496.7244 centuries to decades.\nAnswer: 4967.244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140354619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 2*n**2 - n + 2. Let i(g) = 565*g**4 + 3*g**3 - 6*g**2 - 72*g. Let s(x) = -i(x) - 3*l(x). What is the second derivative of s(d) wrt d?\nAnswer: -6780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j + 23. Suppose a - 10 = -v + 4*a, 2*v = -3*a + 2. Calculate the remainder when g(v) is divided by 1*(6 - (-1 - 4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15014.987423 + -15015. Round w to 4 dps.\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 times -35?\nAnswer: -11.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3516 and 552.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 52 (b) 4 (c) -34 (d) 0.2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-42)*-1*(-4)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -154\/2232141 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109 - -74. Is 28 a factor of (-2 + 224\/a)*-10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/7 + (-239346)\/(-126). What is v rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -555*t**2 - 165 + 274 - 107 in the form y + m*t**2 + w*t and give m.\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 3*c - 5. Let r be z(5). Let d = -1731 + 1731. Solve 2*g = -4*b - 26, r*g = 2*b - 5 - d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(4\/5))\/p**(2\/31) assuming p is positive.\nAnswer: p**(21\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2439 + -2060.2. Round p to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 13 - 6 = 0. Suppose n + o = 4*p - 10, n = p - 2. Let k(c) = c**2 - 4*c + 4. Determine k(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 333, 1507, 4075, 8577?\nAnswer: 15553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2922)\/(-22) + (208\/(-143))\/(-8) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -71*t. Let z(p) = -39*p**2 + p + 2. Let q(x) = 40*x**2 - x - 2. Let v(o) = q(o) + z(o). Calculate g(v(l)).\nAnswer: -71*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2*i - 3 = 0, 1 = 7*k - 4*k + 2*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 11*p**2 - 11*p + 6. Let n be 3\/(78\/4) - 474\/39. What is k(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - 1) + 506 - (7 - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 + (-35)\/10. List the prime factors of (-68)\/(8\/(-1 + j)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6802\/5 + -1342. Let p = n + -18. Let x be 3\/(-30)*(-10)\/(-4). Which is smaller: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -6 - 8. Let o = 19 + -32. Let r = k - o. What is the greatest common divisor of r and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (390\/(-1560))\/(3\/(-276)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, e: 9, k: 9}. Give prob of sequence kkke.\nAnswer: 63\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16992*k - 17198*k + 34190*k - 7 + 11*k**2.\nAnswer: 11*k**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -21*n**2 - 10*n - 3861. Let c(l) = -33*l**2 - 16*l - 5792. Calculate 5*c(t) - 8*z(t).\nAnswer: 3*t**2 + 1928","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591*u**2 - 600*u**2 + 1192*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -33248 - -0.3\nAnswer: -33247.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, -6, -18, -36, -60, -90?\n\"Answer: -3*o**2 + 3*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or -2502?\nAnswer: -2502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 6:42 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 5*k**8\/336 + k**7\/42 + 19*k**2\/2 + 12. Let l(a) be the second derivative of n(a). Let l(x) = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3330?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3978\/45 - -7)\/((-24)\/(-80)). Calculate the highest common factor of t and 4293.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58300.347 to the nearest 1000.\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*x - 18*x + 4. Solve 3 - x = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n. Let j(r) = -503417*r. Determine g(j(v)).\nAnswer: -1006834*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Suppose v*f = 6*f - 16. Sort f, 0, -5.\nAnswer: -5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*f - 8. Let n be (2\/(-8)*f)\/1. Let c = -0.08 + -2.92. Is n at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*s = -4*s + 74, 4*s - 104 = -4*x. Let c(h) = h**2 - 4. Let n be c(3). Suppose 5*f = n*r - x, -4*r - 2*f - 2 = -2*r. Which is greater: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5\/6, 41\/12 in descending order.\nAnswer: 41\/12, 3, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 13 - 12)*(226 + 62*i - 226) in the form j*i + t and give j.\nAnswer: -2542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*m - 9 - 5*m + 22*m + 0 + 0 - m + (2 + 1 - 1)*(m + 3 - 3) + m + 3*m - 2*m to the form w + b*m and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**6\/120 + 2*w**5\/15 + 3*w**4\/8 - 5*w**3\/3 - 322*w**2 - w. Determine p(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 34, 28, 20, 10, -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 + -56?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 35417?\nAnswer: -35424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1836 and 81?\nAnswer: 5508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w - 8. Let y = 48 - 52. Find the common denominator of 17\/7 and a(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 25, 2*q + 3*q = 3*n + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 10 + o**2 + 3*o - 8*o. Let u be (-1 - 3) + (9 - 6\/(-2)). Give l(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o - 4*x = 20, 5*x = -5*o - 30. Let b(d) = 26*d**2 + 4*d - 7. Is b(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/385660 and 29\/280480.\nAnswer: 3085280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4728 and 534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -27*q. Let v(b) = -2*b**2 - 78*b + 3707. What is z(v(i))?\nAnswer: 54*i**2 + 2106*i - 100089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 15 = 3*k, -5 = -0*j + 5*j - k. Suppose j = 2*n - n + 3. Calculate the common denominator of (103\/8)\/(n\/(-4)) and -53\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34337.3427 greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - p**2 - 2 + p**2 - 5*p**2 + 3*p**2 + (-2*p + 2*p - 2*p)*(-2*p - p + p) + 2*p**2 + 0*p**2 - p**2 - p**2 - 2*p**2 + 5*p**2 + 2*p**2 + 3 + 2 - 1.\nAnswer: 7*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.345193 millilitres to litres.\nAnswer: 0.004345193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12569 + 15737. Calculate the highest common divisor of d and 891.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1764 + -1753. Which is smaller: y or 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4320\/(-286) - 302\/(-1661) - 1\/13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-208)*(-71)\/(233235\/(-1168)).\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 57*u + 586. Calculate j(-11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 48800.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-8)*20\/(-25). Suppose -y*c - 3*j + 0*j = -225, 0 = 4*c - 4*j - 480. Calculate the highest common divisor of c and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5*v - 5 = 0, -14*v = -3*u + 2926 - 2962 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6699 (base 12) in base 14?\nAnswer: -41c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193462861?\nAnswer: 151, 1281211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 542777?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-8))\/((132\/16)\/(-11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f - 9. Let j be s(-18). Suppose 6*r - j = -3*r. Solve -4*o + d - 37 = 6*d, 3*d + r = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - 233\/(-964). Let o = b - -970\/723. Let u = -41\/2 - -163\/8. What is the nearest to 0 in -2, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2140 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 983 in -4, -3, -1\/7, -1\/125?\nAnswer: -1\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1025 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:50 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3492*a + 24405. What is n(-7)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 10*f**2 + 96*f + 504.\nAnswer: -2*(f - 7)*(f + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 0*i + 0*i**2 - 1\/3*i**6 + 27 - 2*i**3 - 2*i**5 - 7\/2*i**4. Find r, given that g(r) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 6. Suppose l*y = 2*y - 4, 2*n + y = 8. Suppose -p = 12 + n. What is p rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 177309 and 15?\nAnswer: 886545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -12*c + 6*c. Let w be 3 - c\/1 - (-40)\/22. Suppose -4*f - d - 4 = 0, -3*d - 12 = -3*f - f. What is the nearest to f in -3\/2, -1\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 9:03 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*w + 20 = 1, 0 = 3*m + w - 11. Suppose -m*h + 4*h = d - 474, -5*h - 1185 = -d. Does 19 divide h\/(-5) + 6\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4505 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 8. Let k be r\/(-18) + (-1498)\/(-63). Suppose 2*c - k + 8 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**2 - 23*v - 28. What is the units digit of q(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 24 = -2*s. Let b(z) be the third derivative of 0*z + 0*z**4 - 2*z**2 + 0 - 1\/30*z**5 - 1\/6*z**s. What is the derivative of b(v) wrt v?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**3 - 4*h**2 - 5*h - 2. Let q be 25630\/40 - 2\/(-8). Let p(w) = 642*w + w**3 + w**2 + 0*w**2 - q*w. Calculate l(t) + 5*p(t).\nAnswer: -t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1328861, -1328882, -1328933, -1329026, -1329173, -1329386, -1329677?\nAnswer: -1330058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 7. Let m = 66 - 59. Are m and k unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.1807777 to 1 decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 + 2019*a - 675*a - 671*a + 29 - 674*a.\nAnswer: -a - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 12 = -3*d, 5*g + d - 2*d = 38. Let y(q) = -q**2 + 8*q - 2. List the prime factors of y(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16492.4728 + -16497.77280116. Let v = 5.3 + p. What is v rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13779341 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -5*j**8\/336 + j**7\/14 - j**6\/12 - j**2\/2 + 107*j + 109. Let u(g) be the second derivative of y(g). Solve u(k) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46590 divided by 15?\nAnswer: -3106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 68. Suppose -56 = -6*i + h*i. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14 + (2 - -1))\/(-1). Let l(g) = -5*g + 10. Let x be l(n). Let o = x + 47. Which is smaller: o or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 131*d. Let q(i) be the third derivative of i**5\/30 + 44*i**2. Calculate m(q(l)).\nAnswer: 262*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -132719 divided by 1\nAnswer: -132719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54430\/9 - 6048. What is the fourth biggest value in 0.2, 3\/10, q, -3, 15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 16*w**2 + 16*w + 11. Give l(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 22*v - 381. Calculate m(16).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.913 centuries in millennia?\nAnswer: 5.5913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*r - 200 - 5 - 938*r - 32*r - 325.\nAnswer: -820*r - 530","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214207 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000110197 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 12:42 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 210010113201 (base 4) in base 9?\nAnswer: 18710826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*p + 4 = -69*p + t, -12 = -2*p - 3*t. Solve p = -17*k + 28*k + 66 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.14, -3, -4, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1100\/480*(78\/65)\/(12\/8)?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 1.27 (c) -0.2 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let z(g) = 69*g - 80. Let l(y) = 25*y - 27. Let o(k) = 11*l(k) - 4*z(k). Determine o(w(d)).\nAnswer: d + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*d - s - 75, -3*d + s = -45. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -517, 77 in descending order.\nAnswer: 77, 24, -517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (105\/((-15)\/3))\/(-1). Calculate the highest common divisor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*a**4*c - 250*a**3*c - 4*a**2*c + 2*a*c + 37 wrt a.\nAnswer: 1656*a*c - 1500*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 937038636 divided by 1754754\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k - 5*b + 140 = -22*k, 28*b = 5*k + 26*b + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/63126 and 139\/13176.\nAnswer: 15402744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 14*t**2 - 24*t - 4. Let g be w(-12). Let b(j) = 42*j**2 + 14*j + 69. What is the tens digit of b(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 13 + 46 + -1 + -28.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0103 + -0.1103. What is the second smallest value in a, -9, 0.4, 0.12?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12202 - 5?\nAnswer: 12186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 8:42 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11261300 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 530108.\nAnswer: -530088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 44*b**2 + 611*b - 69. Determine j(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 512 and 26440?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -71\/7, 2\/9, 2\/25.\nAnswer: -71\/7, -2\/5, 2\/25, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 9*w**2 + 9*w - 2. Let k be n(8). Suppose 4*i - 2*h + 6 = 0, -i + k*h + 9 = 2*h. Let v = i + 5. Solve 3 = -5*f + v*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 98*m + 734. Let j be c(-7). Sort -1\/3, 1\/25, j in descending order.\nAnswer: 1\/25, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26293953 and 13335?\nAnswer: 2667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2262187872.\nAnswer: 2, 3, 7, 374039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-77)\/(-42))\/((-880)\/(5440\/(-68)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*t - 3 + 27, 5*t - u - 26 = 0. Suppose 37 = 2*k - s, -t*k - 2*s = -5*s - 95. Let n = k + 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103455, -105573, -107691?\nAnswer: -109809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2696, -2697, -2698, -2699, -2700?\nAnswer: -2701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4364971.\nAnswer: -8729942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*l - 875 = 345 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l - 11. Let p = -67 + 63. Let v be h(p). Suppose 0*i + 3*g = v*i - 35, 3*i = -5*g + 21. Solve i - 11 = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1642*n**2\/5 - 423736*n\/5 + 5160.\nAnswer: 2*(n - 258)*(821*n - 50)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 756529 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a - 8. Let p be (-5 - -5)\/(-2 - 0). Let k be ((-2)\/(-3) + p)*(6 - -3). Determine q(k).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 6*f**2 - 610*f - 146. What is j(22)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2. Let n(z) = -z**2 + 61*z - 13*z + z. Calculate n(w(c)).\nAnswer: -4*c**4 + 98*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-427)\/(-70) + 3\/(-2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6693 + -6692.9. Suppose -3*k + 39 = -24. Put 4, k, 5\/2, m in descending order.\nAnswer: k, 4, 5\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -14*d - 2448. Let c = d + 1373\/9. Does -0.4 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -3*o**7\/2 - 17*o**6\/30 - o**4\/6 - o**3\/3 - 432*o**2 + 94*o - 1. Find the second derivative of a(w) wrt w.\nAnswer: -1260*w**3 - 204*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 4:48 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -14*t**2 + 1325*t. Let n(s) = -2*s. Give x(n(w)).\nAnswer: -56*w**2 - 2650*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(9*n**3 + 32*n**3 - 17*n**3) to b*n + r*n**2 + z + t*n**3 and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10481 + 2*a + 10481. Let g(l) = l + 1. Calculate 3*g(h) - r(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -265865000 rounded to the nearest 1000000?\nAnswer: -266000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1254*t**5 + 1393*t**4 - 14*t**2 - t - 123936 wrt t.\nAnswer: -75240*t**2 + 33432*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - x. Let t(v) = 3*v + 5*v - 4*v. Let q be (-3283)\/3149 + 10\/235. Calculate q*t(u) - 4*m(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.00165.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1))\/u**6*(u\/u**(-2\/5))\/((u**(-7)\/u*u)\/u) assuming u is positive.\nAnswer: u**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -986, -942, -898, -854, -810?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -6, 1 in ascending order.\nAnswer: -6, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -134 - j**2 - 115 + 264 - 2*j - j**3. Let q(m) = -m - 6. Let b be q(-6). Let y be i(b). Solve 0 = 3*u - 3 + y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.113\nAnswer: 0.0339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 10. Let a(n) = -7*n**2 - 9*n**2 + 10*n + 29*n**2 + 12 - 12*n**2. Let s be a(-4). Give j(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = k + 1, 4*k - 4 = 9*k + 4*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 236 - -1105. List the prime factors of a.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 4. Let r be 2 - i - 2*2. Suppose -r*t + 10 = -20. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 17*p - 5 - 4 + 16.\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00080818898 rounded to 6 decimal places?\nAnswer: 0.000808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1298.74 * 1.1\nAnswer: -1428.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46629 and 23814?\nAnswer: 41126778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 11726293.\nAnswer: 4690517.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 497 + 6*r**2 - 499 - r**2 + 847 - 130*r.\nAnswer: 5*(r - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192270 is divided by 58?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - h - 18 = 0. What is the third derivative of 4*l**4 - 3*l**h + 5*l**4 - 15*l**4 + 45*l**2 wrt l?\nAnswer: -144*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24233 or 2\/1961?\nAnswer: 24233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + 643004?\nAnswer: 642650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**5 + 85*l**4 - 450*l**3 + 540*l**2 + 1080*l.\nAnswer: -5*l*(l - 6)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**4\/2 - 2*w**3 - 11*w**2\/2 - 4*w + 3019. Let v be (-5)\/(-3)*(-3)\/1. List the prime factors of z(v).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 0*w + (w + 2 - 2)*(0 - 4 + 2))*((0 + 1 - 3)*(2 - 4 + 3) - 1 - 2 + 1 + 3 - 4 + 2 + 3 - 2 - 3 + 2 - 4 - 1).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**4\/7 + 13713218*c**3\/7 - 27426444*c**2\/7 = 0.\nAnswer: -6856611, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27 and -17840.\nAnswer: -481680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6987*k + 105173. What is r(-15)?\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3330695 millilitres?\nAnswer: 0.0003330695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y - y**2 - 41*y + 18*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-176)\/(-132)*6\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbe when three letters picked without replacement from uhphvbbhhehbp?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 228, 1\/4, 2\/57, -5.\nAnswer: -5, 2\/57, 1\/4, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 13) to base 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**3\/3 + 3*q**2\/2 - 2*q - 1. Let d be v(2). Suppose d = 2*y + y - 147. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 5, y: 4}. What is prob of sequence yy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - f + 26, -1201 + 558 = -n - 6*f - 522 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-14 + 32 + -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 4:55 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 465.3799 - -0.3201. What is d rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, -1, -2 in increasing order.\nAnswer: -88, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 437023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 541781178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 w when four letters picked without replacement from {x: 9, w: 1, h: 7, n: 1}.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 882b610 + -3?\nAnswer: 882b609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**2 - 3656*s - 91257. What is u(-496)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 6*h + 2. Let n(s) = -2*s**2 - 7*s + 2. Suppose -12 = q - 4*q. Let p(r) = -2*r - 5. Let x be p(0). Let j(v) = q*n(v) + x*b(v). Determine j(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11999.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 at most 1234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8 - -13)*5\/70*1716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*d + 19 - 33. Let f = 7 + -4. Put d, f, 6 in ascending order.\nAnswer: d, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*1*-3 + sqrt(432) + 0 + -4 + sqrt(432) - ((sqrt(243) - -2*(sqrt(243) - -2*sqrt(243))) + -1))**2.\nAnswer: 450*sqrt(3) + 16884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 divided by 161?\nAnswer: 167\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113 + 115. Let r be (1 + 156)\/(t*2\/(-32)). Round r to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.36713 to two dps.\nAnswer: 8.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1\/j)\/(j*j**(-4))*(j\/(j\/(j*j**(-1\/3)*j))*j)**(-18))**(-9))**(4\/13) assuming j is positive.\nAnswer: j**(1620\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 15642265?\nAnswer: 15642263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 10814\nAnswer: -5407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one quarters of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-3 + sqrt(19)*-1)*5 - -6*(sqrt(19) - (sqrt(931) + 0)**2)).\nAnswer: -16803 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75.79 - 59.79. What is the smallest value in t, 4, -0.4, 8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/12)\/(10\/((-540)\/18)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + -2 + sqrt(3) + sqrt(6)\/(sqrt(2) - sqrt(200)))*-4.\nAnswer: -32*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**2 - 1 + 1 - 177*s**2.\nAnswer: -164*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 241 - 691 = 0. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -17*i + 22. Let u(k) = 3*k - 4. Let b(l) = 29*l - 18. Let d be b(1). Let v(j) = d*u(j) + 2*z(j). Let m(g) = -93*g**2. Give m(v(s)).\nAnswer: -93*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - a8?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.93 + -0.07. Put 2\/9, 0.4, j in descending order.\nAnswer: 0.4, 2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*s + 27 + 21, 4*i + 22 = 2*s. Let a be (-8)\/((-48)\/(-18)) - -7. What is the remainder when 399\/12 - 1\/a is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 308 - -2469. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 427 = 3*k, -4*k + 3*k = 5*t - 135. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*60\/17010*(-6)\/(-8).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -2. Suppose 69*s - 184 = 230. Suppose 9 + 8 = 4*a + w, a - 18 = -3*w. Solve a*j - c*t = 10, 0 + s = 2*j - t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*s - 13*s - 1. Let z(v) = 59*v**2 - v. Let r be z(s). Let b = -21 + r. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + 78\/(-12))*-20. Suppose w*h - 10862 = -2302. What are the prime factors of h?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 241.8099036 to 2 decimal places.\nAnswer: 241.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 564*y**2 + 20160*y + 3048192.\nAnswer: 2*(y - 168)**2*(y + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46752152?\nAnswer: 2, 107, 54617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 447*m**3 + 603*m**2\/2 + 2164*m. Find the first derivative of b(s) wrt s.\nAnswer: 2682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.653002km in meters?\nAnswer: 8653.002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 5:01 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31.195 + -0.195. Let s = 587333552.99999815 + -587333584. Let g = s + b. What is g rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/106 - 191\/742. Which is the nearest to -0.2? (a) 1 (b) -1\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*d + 308 = 130*d - 174*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 - 385*u + 3659. What is n(59)?\nAnswer: -1651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 910*i**2 - 2*i - 2. Let r be b(-1). Let t = r + -458. Is 27 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 0*x - 9*x + 6*x**2 - 1 - 5*x**2. Suppose 0 = -7*l + 12 - 54. Let s be 4\/l*(-1 - -13). Determine o(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 6*n**3 - 23*n**2\/2 + 8. What is the second derivative of x(i) wrt i?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 36 + -129 + 68.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k**4 - 12*k**4 + 5*k**4 + (-k**4 + 0*k**4 + 3*k**4)*(1 + 0 + 0) - 3*k + 49*k**4 + 3*k.\nAnswer: 38*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - 4*j**2 - 4*j**2 + (2*j + 0 + 0)*(4*j + 3*j - 6*j) + 0*j**2 + 0*j**2 - 3*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 30140486?\nAnswer: 30140486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 13*w + 17. Let c be n(-13). Suppose 0 = -4*v - 0*v + 8. Suppose -3*y - v*y = -340. What is the greatest common factor of y and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(14\/(-12))*(-24)\/(-18). Let s be (-2)\/(-15)*(-10)\/o. Is s less than or equal to -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 168, 859, 2010, 3621, 5692, 8223, 11214?\n\"Answer: 230*q**2 + q - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**3\/9 + 10*r**2 + 59*r\/3 - 189. Find p such that s(p) = 0.\nAnswer: -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-2))\/5*(224\/16)\/1120.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4620*n**4 - 4864*n wrt n.\nAnswer: -55440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 + 0 + -4 + 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78 or 2190?\nAnswer: 2190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + ((1 + sqrt(108))*-4 - -4*sqrt(108)*1) + (sqrt(108) + 0 + -3)*4)*3*-2)**2.\nAnswer: -29376*sqrt(3) + 72612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p + 47. Let y(w) = w - 12. Let n(t) = -t**3 - 7*t**2 + 10*t + 25. Let u be n(-8). What is u*y(k) + 2*b(k)?\nAnswer: -k - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, v: 2}. What is prob of sequence yyv?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -52*m**2 + 4191*m + 44007. What is j(90)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2124373\/2765 + -5378\/7. Find the common denominator of i and -37\/1343.\nAnswer: 6715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3067*p = 205*p - 26684 + 139347 + 34577 for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3332 - 1518 = 97*u for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1406 and 5.\nAnswer: 7030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**2\/8 + 21*r\/4 + 297\/8 = 0.\nAnswer: -33, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000891281 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 43530.7ms?\nAnswer: 43530700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - -5.7. Suppose x - 3*u = -19, -2 = -4*x - 4*u + 2. Which is the nearest to -1\/3? (a) q (b) x (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 11:18 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 30500*o - 10736019. Determine y(352).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:27 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9256b (base 13) to base 8\nAnswer: -1000351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3529 + -3529. Let v = 141\/755 + 2\/151. Is v greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*f + 4*n, -n + 1 = 5*f - 4*n. Solve 2*i + 2*q = 2, 4 = -f*i + 7*i + 4*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32265 - 3?\nAnswer: 32262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21d852 + 4?\nAnswer: 21d856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.25 and 31.613?\nAnswer: -7.90325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1340, 1337, 1334?\n\"Answer: -3*z + 1343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -253109\/180 - -1407. What is the common denominator of n and -1\/324?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -2 + -5 - -2. Let y(v) = -v**2 - 4*v - 9. Let m be y(k). Let z = -15 - m. Let b(f) = f**2 - 6*f + 6. What is b(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 - 66.3. Suppose 0*i = -4*i + 8. What is the nearest to 0.1 in i, q, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/8*8\/145. Let s = j + 107\/145. Which is the closest to 0.1? (a) s (b) -1\/6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - -2) + -4 + 0. Suppose 5*m - f*i - 3*i = 650, 0 = -m - 4*i + 125. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/31, -4039, 92 in decreasing order.\nAnswer: 92, 6\/31, -4039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/11, 1\/78, -14, 0.3, -3, -0.3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 361 = -12*l + 1127. Solve -3700*w - l = -3708*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19618 by -753.\nAnswer: 19618\/753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 26*m**2 - 1098*m - 6. Let j(p) = 6*p**2 + p - 1. Give -4*j(u) + n(u).\nAnswer: 2*u**2 - 1102*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -413, -412, -411, -410, -409, -408?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33791473\/5 smaller than 6758295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13*4*((-2)\/14 + 132\/336). Solve n = 7*w - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.26.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5 = -5*u, 7*a - 2*a - 4*u - 10 = 0. Let n(t) = -6 + a*t + 1 + 4. Determine n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-4 - -1) + 18. Suppose t*p = 18*p - 912. What are the prime factors of p - 16\/(-9 + 5)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -50*r. Let j(i) = 41*i**2. Give t(j(o)).\nAnswer: -2050*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4877329 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1075674*u**2 + 68*u + 206. Let f be i(-9). What is f rounded to the nearest 1000000?\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q - 1\/2*q**2 - 2. Is n(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107*j**3 - 2*j**2 + j - 464?\nAnswer: -642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*m + 12 + 63 + 90.\nAnswer: 157*m + 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2235\/10430 + (-1)\/(14\/(-65559))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 6 - (16 + -251). What is the greatest common factor of 294 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 l when four letters picked without replacement from jljll?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/11 + 38*t**4\/11 - 214*t**3\/11 + 322*t**2\/11 - 144*t\/11 = 0. Calculate t.\nAnswer: 0, 1, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (4 - -2 - 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -5 (b) 2\/3 (c) 1\/4 (d) -2 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1723 + 3246. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 8*q + 5. Let z be l(8). Suppose -8*t + 6*t = x + 12, 32 = -z*t - 3*x. Is 54*9 - t - 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 456 = -264. Let r = p + 300. Suppose -h + r = 4*j, -3*j = 5*h - 900 - 150. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123594148 - 2987.\nAnswer: -123597135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**7\/840 + p**6\/60 + p**5\/20 - 4*p**3\/3 - 16. Let t(v) be the third derivative of b(v). Calculate t(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - 4*q + q - 2*q + 4 - 4 + (2 - 3 - 1)*(2*q - 7*q + 3*q) - 6*q + 3*q + 2*q + 13*q - 24*q + 4*q + 8*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452200 is divided by 585?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = -0. Suppose w - 202 = -d*w + 3*r, 5*r = 2*w - 77. Let u = 12 - 1. What is the remainder when w is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6154 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43454805 divided by -5.\nAnswer: -8690961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 12*a + 20 = 10*a, -3*i - 10 = -a. What is the closest to 44 in -0.2, -1, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-12)*r**(-1\/4)*r assuming r is positive.\nAnswer: r**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1999, 5030, 10079, 17146, 26231, 37334?\nAnswer: 50455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5662530 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*j + 232*j + 123*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**4\/4 + 7*r**3\/3 + 7*r**2\/2 - 16*r + 16. Let a be i(8). What is the lowest common multiple of 15 and (a\/16)\/((-1)\/20)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 145 - 1. Let j = -844 - r. What is j rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*s = -92. Let t(r) = -35*r - 85. Let u be t(-7). Let y = s + u. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) 3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - -37 - -28) + 20.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25 times -0.0005\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268572 divided by -6.\nAnswer: -44762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 24. What is n(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1 - 7 = 0, 0 = -5*x + z + 1541. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234151*0.2.\nAnswer: 46830.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5423826 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*u + 170 + 100 = 0. Let f = 2.038 - 0.038. What is the biggest value in 2\/7, u, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -441388 by 4.\nAnswer: -110347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(22))\/sqrt(2) + (sqrt(11) - (5 + 1*sqrt(11))) + 0.\nAnswer: -5 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1008) + (-4*(sqrt(7) + 1))**2.\nAnswer: 8*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*-15*(-34)\/(-510).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -405395\/2 or -202698?\nAnswer: -405395\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/122?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10782975 divided by -23?\nAnswer: 468825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 41*d**2 + d - 40. Let h be z(41). Put 23, h, -2, -1, -5 in ascending order.\nAnswer: -5, -2, -1, h, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 13*u**2 - 115*u + 250 = 0.\nAnswer: 50\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 f, and 1 d when four letters picked without replacement from {d: 6, f: 2, o: 7, m: 4, l: 1}.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313953 is divided by 104528?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31409 + -26683. What is the highest common divisor of o and 556?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t - 6. Let o = 128765 - 128754. Let y(j) = 1. Let r(z) = -z + 2. Let q(f) = -r(f) + y(f). Calculate o*q(d) - 2*h(d).\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.19 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*14 + 2. Let v = 3 + x. Let q be ((-13)\/(-91))\/(3\/v). Which is the nearest to -1\/4? (a) -1\/6 (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5590?\nAnswer: 2, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3980 and 12278698?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**2 - i**2 + 6*i**2)*(3*i - 2*i + 3*i) as z*i**3 + g + b*i + h*i**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9885.23605 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 570 or 584963?\nAnswer: 584963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g**2 - 4*g - 5. Let n(i) = i**2 - i - 1. Let w(p) = -20*n(p) + 4*y(p). Find the second derivative of w(r) wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827341 is divided by 1504.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 259998616 and 129999308?\nAnswer: 259998616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -142 + 150. What is the lowest common multiple of 23 and q?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 36*m**2 - 39881*m - 79750. What is k(-2)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 79 (c) 583 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -60, -118, -176?\n\"Answer: -58*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10700.94 times 0.4?\nAnswer: 4280.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22751 + -14448. Let w(r) = -g + 8290 - r + 3*r. Determine w(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 + 1 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -169*b**5\/10 + 205*b**2 - 136*b + 2. Differentiate t(g) with respect to g.\nAnswer: -1014*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -26) + (-2)\/(-4)*8. Suppose 0 = -3*t + 5*t - 8. Let g be 10*((-16)\/(-10))\/4. Solve -k - 3*y = -g*y + 9, -t*y = -3*k - b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2\/6 - 23*s\/6 + 18 = 0.\nAnswer: -27, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 6*h + 7. Let d be (0 + 0)*2\/4. Let f be 2 + d - (-25)\/5. What is the units digit of z(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1000)*5)\/(sqrt(4)\/(sqrt(18)*-6)).\nAnswer: 1800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -2. Suppose 0 = j - 5*n + 20 - 183, q*j - 815 = -5*n. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(57) - sqrt(57))\/sqrt(3) + (-4*(sqrt(19)*1 - sqrt(19) - sqrt(19))*-3)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.85172 and 0.15.\nAnswer: 0.277758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-456)\/(-1368) - (-5)\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 336 divide 404544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -54. Solve 8 = y - 2*k, r*y + 3*y = -2*k + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3240 = -37*p - 53*p. Suppose 0 = 3*h + f - 166, -h + 5*f = h - 88. Let c = h - p. What is the greatest common factor of c and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 117 = 75. Let k = g - -26. Let a be ((-66)\/(-12) - 6)*(k - 0). What is the closest to 1 in a, -12, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 2:14 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 plus 0.5?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1207 - 1212. Let w be (20 - (5 - 3))\/(2 - u). Factor 4\/7*j - w*j**2 + 0.\nAnswer: -2*j*(9*j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 444 - 58. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15481, 15411, 15287, 15103, 14853?\nAnswer: 14531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p - 4. Let x be d(-3). Let z = -14 - -1. Let h = z - -23. Solve -3*t - h = -2*s, -13 + 0 = 5*s + x*t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-32)*4*4\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 380 + -376. What is the third smallest value in 0.5, -3, i, -5\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63414115?\nAnswer: 5, 19, 37, 18041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000160 is divided by 333382?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f**2 + 6*f + 3. What is the tens digit of o(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 618.1763 litres?\nAnswer: 618176.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 + 2*d**5 - 2*d**5 + (4*d**4 - 3*d**4 + 0*d**4)*(2*d + 2 - 2) + 0*d**2 + 0*d**5 - 2*d**5 - d**2.\nAnswer: -d**5 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q - 3. Let r(c) = 7*c - 4. Let a(m) = 4*g(m) - 3*r(m). Let x(l) = 17*l. Calculate a(x(s)).\nAnswer: 51*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 11:13 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -494, -500, -506, -512, -518?\n\"Answer: -6*a - 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -74, -79, -88, -101, -118, -139?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 72\/15 - (-1)\/5. Put k, -0.25, 2\/7, -3\/8 in decreasing order.\nAnswer: k, 2\/7, -0.25, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 1422*r**2 - 1420*r**2 - r + 4 + 2*r**3 to the form q*r + u*r**3 + j + n*r**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 + 187852*z\/3 - 4411046738\/3.\nAnswer: -2*(z - 46963)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2 + 106187946*a + 114851416.\nAnswer: -4*a + 106187946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -3)\/((-11)\/1). Let h = 0.03 + 0.07. What is the smallest value in 3, h, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/7 - 20\/7*g**2 - 24\/7*g.\nAnswer: -4*(g + 2)*(5*g - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00574 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 u when three letters picked without replacement from guug?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 331*b - 338*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-3)\/1 + 2). Suppose -4 = -w, -2*w = -2*j - 8 - q. Does j = 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-101*a**2 + 101*a**2 - 257*a**3)*(-a + 2 - 2) to v*a**4 + r*a**2 + c + s*a**3 + n*a and give v.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/20 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -25. Suppose v - 4 = z. What is the highest common factor of v and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 17. Let t be c(15). Let z(x) = 2*x - 1. Determine z(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(45)\/sqrt(5)) + 1*sqrt(21)\/sqrt(3) + ((sqrt(315)*-5)\/sqrt(5))**2.\nAnswer: 2*sqrt(7) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -15*w - 21. Let x(p) = 15*p + 21. Let f(a) = -5*a - 7. Let s(c) = 7*f(c) + 2*x(c). Let k(v) = -3*m(v) + 8*s(v). Does 12 divide k(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.91 + -3.91. Let m = 1 - 2. Which is the second biggest value? (a) m (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3*z + 2 = 0, 138 = -3*v + 3*z + 120 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 6*x - 2. Let f(o) = 4*o**3 - 15*o**2 + 33*o + 12. Let r(u) = u**3 - u**2 + u. Let t(z) = f(z) - 3*r(z). Let v be t(8). What is b(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -65?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70\/(-245) - 25072\/4*(-12)\/28.\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 261489 - 174778. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/(2\/(-8)). Suppose 74 = -k + i*k. Is k a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.79 + -0.11. Let j = l - 2.1. Let w = -3.969 - j. What is w rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9460.96 to the nearest 10.\nAnswer: 9460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-7 - (14 - 23 - (2 + 1 - -55)))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 46*q + 160. Determine w(-54).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2100*z + 4921*z - 2367*z. Let l(h) = -9*h. Give l(i(j)).\nAnswer: -4086*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 7*g**2 + 13*g - 32. What is t(7)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-700)\/(-375))\/(777\/1110))\/((-4)\/186*-2)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -412 + 165692?\nAnswer: 165280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 - 4*q**2 + 4*q**2 + 2*q**2 + 4*q**2 - 4*q**2 + (q + q - 3*q)*(q - 2*q - q) - 2*q**2 + 7*q**2 - q**2 + 4*q**2 + 0*q**2 + 10*q**2.\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19830 rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a + 1. What is c(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 4*s. Let x be k(5). Suppose -844 = y - x*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439149.0773 rounded to the nearest one thousand?\nAnswer: 439000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 309 + -213. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24935, -50110, -75285?\n\"Answer: -25175*r + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98\/29 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7614549365 and -0.03?\nAnswer: 7614549364.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 380040526 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 5:03 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 156635053 greater than 313270107\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11629 less than 7390425058?\nAnswer: 7390436687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -5) + 1 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10342*-0.216.\nAnswer: 2233.872","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Let u be -2*9*2\/(-4). Suppose 0 = 4*o - p - 11, -6*p + 3*p = -4*o + u. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 21*t - 23. Let f be v(22). List the prime factors of f - (-1278)\/2 - 4.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-9 + 15)) + 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**2 + 10*o - 7. Let k be n(6). Suppose -187 - 206 = 3*d - h, -h = -2*d - 261. Let z = k - d. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f**12*f*f)*f*f*f**(-2)*(f**3\/f)**26 assuming f is positive.\nAnswer: f**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921379749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -3, 9.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001048929163 rounded to 6 dps?\nAnswer: -0.001049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 290 and (-611)\/(-715)*35 + 1\/11.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -88185 and -88194 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -110075596.\nAnswer: 22015119.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + -a31863?\nAnswer: -a31873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**2 + 117*y - 62. Give z(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((12 + 3)*4\/(-6))\/1. Let u be (8\/(-6))\/(z\/15). Solve 8 = 4*a + n, -5 = 3*a - 2*a + u*n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 1}. What is prob of picking 1 m and 1 x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1790491 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 23*v - 468 = 0. Calculate the remainder when 817 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 8. Let d(y) = 1. Let s be (-3 - -1)\/(4\/(-10)). Suppose 54 = 2*k - 5*o, 3*o + 104 = s*k - 12. Let r = 17 - k. Determine r*w(b) + 40*d(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*s = -16, s - 14 = -4*n + 4*s. Let t be -1*71\/n*(-40 + 44). What is the common denominator of 10\/(-40)*t\/3 and 109\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 + 80. Let j = -23 - l. Let v = -26 - j. Let g(s) = s**2 + 8*s + 2. Give g(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**8*r**(1\/2)*(r**(-2))**(-1\/13)*((r*r*r**(1\/5))**(-26))**(-2\/11) assuming r is positive.\nAnswer: r**(2477\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.36 - -0.16. Let f = 2 + -1. Suppose -9 - f = 2*q. What is the third biggest value in 1, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**4)\/(l*l\/(l*l\/(l*l**(-1\/8))*l)*l))\/((l*l*(l\/(l*l\/(l*l**1)))\/l*l)\/l)**(-21) assuming l is positive.\nAnswer: l**(305\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -3*t. Let b(f) = f**3 - 5*f**2 + f - 4. Let i be b(5). Suppose o + 5 = 2*c, 2*c - 3*o - 4 = -i. Put t, c, 0 in ascending order.\nAnswer: 0, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5 = -5*z, -4*a + 2*z = -3*z + 5. Suppose -4*k - 3*r - 2*r + 231 = a, -2*k + 3*r = -99. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 0*r - 3 - 2*r - 10. Let y be w(-9). Suppose 7*c = y*c + 124. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/93*3\/(-5) - 24\/140?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165949, -165974, -166015, -166072?\nAnswer: -166145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 94128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 + 15*y**2 + 10*y + 8. Let h = -11200 - -11193. Determine m(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80751194200 rounded to the nearest 1000000?\nAnswer: -80751000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73602, 147252, 220902, 294552, 368202, 441852?\nAnswer: 515502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 5 (c) -23\/62 (d) 2 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3649550 divided by -1175\nAnswer: -3106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3777392513?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 - 3*q + 1. Suppose 19*h = 2289 - 1833. Calculate the remainder when h is divided by t(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 12*q**2 + q - 8. Let s be u(12). Suppose -31 = -5*a + 4*j, 3*a + j + s*j + 11 = 0. Solve -4*g + 8 = m, 2*g - 11 = -m - a*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*f + 12. Let z(o) = -9*o + 6. Let v(r) = -26*r + 19. Let t(x) = -2*v(x) + 7*z(x). What is the remainder when t(f) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*18\/(-12))\/(2\/4). Suppose 4*s = 21 + 7. Suppose v*r = s - 4. Solve -3 - r = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16672 and 512.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 27339 = 3*p + 11*k, p = -2*k + 9117. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3 = 0, o + 3*h - 15 = 7. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -19*s + 4. Let x(p) = -38*p + 9. Let u be (33\/55)\/((-5)\/((-50)\/(-3))). Calculate u*x(z) + 5*t(z).\nAnswer: -19*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -118*s - 25*s**3 - 117*s + 234*s + s**3 - s**3 - 3*s**3 + (-3 + 1 + 3)*(5*s**3 - 2*s**3 - 4*s**3).\nAnswer: -29*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/5469?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12970382*i**2 + 1533782*i + 7?\nAnswer: 25940764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1589 + -0.2411. What is the fourth biggest value in g, -5, -6\/13, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135561?\nAnswer: 3, 73, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 17893.8 * -0.5\nAnswer: -8946.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -45. Let g = 109\/6 + i. Suppose -3*d = -0*d - 3. Sort d, 0.4, g in ascending order.\nAnswer: g, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 915.852 decades to centuries.\nAnswer: 91.5852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p*(p*p\/(p**(4\/3)*p*p*p))\/p*p))*p\/((p\/(p*p\/p**(1\/2)))\/p)*(p*p*p**0*p)**13 assuming p is positive.\nAnswer: p**(241\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/7)*k**(-3))\/(((k\/k**(2\/11))\/k)\/k**(-1)))\/((k*k\/(k\/(k*k*k**(-2)*k)*k))\/k**(-3\/8))**6 assuming k is positive.\nAnswer: k**(-3497\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 6*d**2 + 0 - 95\/4*d - 1\/4*d**3 = 0.\nAnswer: 0, 5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -0*m - 4*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**4 - 26957274*r**3 + 32342*r**2 + 2*r - 50.\nAnswer: -24*r - 161743644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h - 15*h + 1 + 22*h + 14. Let d be j(-15). Suppose -8*v - 27 + 115 = d. Solve -5*u = -v + 31 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 42*a - 226. What are the prime factors of q(24)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024908667 rounded to seven decimal places?\nAnswer: -0.0000249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 25292*a - 3894964. What is u(154)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 320*j + 5723. Determine u(138).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2574*c - 2133 = -2601*c. Calculate the least common multiple of 107 and c.\nAnswer: 8453","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15449*s - 15*s**2 + 57*s**2 + 15449*s.\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -125, -365, -843, -1679, -2993, -4905, -7535?\n\"Answer: -20*w**3 + w**2 - 103*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 102 + 66 = 0. Suppose -r*g**3 + 7*g**2 + 26*g**2 - 51*g + 18*g**2 + 3*g**4 + 18 = 0. Calculate g.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*r + 106, 3*r + 228 = 4*f + r. Is 29 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = k + 135, 5*k - 2*o - 40 + 698 = 0. Which is greater: k or -134?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02492 rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*j - 94196, 0 = -2*j + 4*r - 37976 - 56240. What is j rounded to the nearest one thousand?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156191?\nAnswer: 7, 53, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 236 + -234. What is the derivative of -68 + 2*y**3 - y**2 - 2*y**3 + 0*y**s - 3*y**3 wrt y?\nAnswer: -9*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(80) - 1*sqrt(80)))\/(-1*-1*sqrt(4))*6)\/((sqrt(140)\/(1*sqrt(7)))\/((sqrt(14) + sqrt(14)*-1)\/sqrt(7) - sqrt(2))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 3*w + 1. Let p be (-5 - -11)*(-2)\/(-6). Let s(i) = -i - 1. Let l be s(p). List the prime factors of y(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 44, -5, 3 in decreasing order.\nAnswer: 44, 7, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*t + 20 = 0, 2*p = 3*p - 3*t + 7. Suppose 41 = u - 3*k - 2*k, 0 = p*u + k - 126. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3799?\nAnswer: 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 4, -0.35, -5?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 + 6.8. Let v = -6.3 + u. Sort v, 0.2, 0 in increasing order.\nAnswer: v, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 11*c - 784. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 198955 - 46555589\/234. Let d = -5\/78 - h. Solve 1\/9*c**3 - d*c - 4\/9*c**2 + 0 + 1\/9*c**4 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 2*v - 3*v**4 - v - v - 24 - 2*v in the form l*v**4 + y + a*v**3 + f*v + j*v**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45185690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-6 + -1) - (48 + -48). Find the third derivative of -77*t**2 + 68*t**3 + 7*t + 0*t - a*t wrt t.\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2237311276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 284507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-18)\/144*(-8)\/(-42).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75504094909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 6:40 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*v - 1555 = 0, 22*r - 17*r + 1563 = -3*v. Let o = r + 320. Sort o, 0.4, 3\/2, -4 in descending order.\nAnswer: o, 3\/2, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 945748 by -16306.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**2 + 27. Let z(i) = -69*i**2. Give z(c(x)).\nAnswer: -276*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d41d (base 16) to base 7.\nAnswer: -1401306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33)\/44 - 321\/4. Let b = h - -170. Suppose -p + 5*p - 145 = y, b = 2*p + 5*y. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017417 rounded to seven decimal places?\nAnswer: -0.0000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996997.\nAnswer: 41, 24317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -242 less than or equal to -74736\/307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1744 = -45*u + 44*u. Let b = -458 + u. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + -37. What is the remainder when 86 is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -412ea9 - -1?\nAnswer: -412ea8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 29216209000 rounded to the nearest one million?\nAnswer: 29216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -648000\/7 - 3\/7*j**3 - 540\/7*j**2 - 32400\/7*j.\nAnswer: -3*(j + 60)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576204 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58838 = -12*q + 43*q. List the prime factors of q.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 870113251 rounded to the nearest one hundred thousand?\nAnswer: 870100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwbvkvhukbhkbvwhv. What is prob of picking 1 b, 2 k, and 1 u?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chjjmmcccchhxccjxmm. Give prob of picking 2 x.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157157, 314336, 471525, 628730, 785957, 943212, 1100501, 1257830?\nAnswer: 1415205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-39)\/12 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 469.8+43601\nAnswer: 44070.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -415.45 - -8.6730573\nAnswer: -406.7769427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 187*u**3 - 6*u**2 - 8*u + 18. Determine w(-2).\nAnswer: -1486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99306 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12\/10*22\/33\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8102, 8099, 8094, 8087, 8078, 8067?\nAnswer: 8054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -415 + 162. Let v = 665 + p. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/120 and -107\/1248.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 1\/40*x**6 - 1\/30*x**5 + 0 + 0*x + 0*x**3 - 5\/24*x**4 - 22*x**2. What is the units digit of o(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 33 = 10*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/120*(-10)\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 1:10 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 730 divide 2553540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u**3 + 1. Let j be z(-1). Suppose -2*d = k + 12, 5 = d - 4*k - j. Let a(g) = -2*g - 2. Determine a(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5858.02679 - 0.1974\nAnswer: -5858.22419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 569143 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) -15 (b) -2 (c) -4 (d) 664 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 6. Let r(i) = 3*i**2 + 4*i + 1. Let m(b) = 13*b**2 + 14*b + 4. Let x(j) = 2*m(j) - 9*r(j). What is x(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*(-2*sqrt(36) - sqrt(36))*6)\/(2*(sqrt(192)*2 + sqrt(192) + sqrt(192) + sqrt(192)) - (-2*sqrt(192)*-2 - sqrt(192))).\nAnswer: 108*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**5 - 148*z**4 + 2004*z**3 + 74612*z**2 - 317440*z + 322896 = 0. Calculate z.\nAnswer: -31, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -19. Let q be b\/(-21) + 4\/14. Solve -3*f + 4*f - 2 = q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 259131230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**3 - 27*o**2 + 8*o + 7. Let w be t(-7). Suppose 21*u - 16*u + 35 = w. Put 1, u, -5 in ascending order.\nAnswer: u, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*n + 54, 2*k - k = 2*n - 41. What is the remainder when 175 is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*r = 34*r - 5460. Let x = -40 - r. Is 27 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63773*y + 7*y**2 - 127548*y - 20 + 63776*y.\nAnswer: 7*y**2 + y - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1029)*4 + sqrt(1029))\/(sqrt(1323)\/sqrt(9)*1).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 5. Let q be 6*(-2 + (-4)\/(-3)). Let w = p + q. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-5 - 12) + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 156089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3018 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 15, -6*m + 2 = 2*v - 8*m. Suppose -x + 12 + 18 = v*y, -2*x + 5*y + 8 = 0. Calculate the highest common divisor of 35 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czfx when four letters picked without replacement from {f: 1, c: 2, z: 1, x: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36652183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1502 = -574*m - 761*m + 1511*m - 8002 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*y**4\/6 + 39*y**3\/2 - 17*y**2\/3 = 0. Calculate y.\nAnswer: -17, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358, -473, -588, -703?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 - -76.62. Let h = u - 36.62. Let k = h + 33. Which is the nearest to -1? (a) -2 (b) 0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 - 4. Let g(z) = 2*z**2 - 6*z - 4. Let f be g(4). Let n(u) = u**3 + 1. What is f*n(p) + o(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2612392.\nAnswer: 2, 326549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*u + 7*u - 95, 0 = -u + 2*i + 17. Suppose -6*c + 47 = -c + 3*o, 5*c + o = 39. Solve c*t - 2*t = -u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {s: 2, d: 6, o: 1, a: 2, r: 7}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 128?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30181?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t - 2. Let d be f(-6). Let s = d + -12. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331 + -6.2.\nAnswer: 324.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33303617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11339\/(-29))\/17*(-7)\/(-7)*2\/(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -13, -7, 6 in decreasing order.\nAnswer: 6, -3, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 676 and 48256?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 726708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48.371 + -0.571. Let u = q + -50.8. What is the nearest to u in -2, 0.2, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*o = -2794, -591*u = -593*u + 5*o + 2806. What is the highest common divisor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r - 6. Let x be o(2). Let u(n) = -n**2 + 5*n. Let m be u(x). Suppose -5*b = -m*a - 431, -5*b - a - 4*a + 395 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sis when three letters picked without replacement from {i: 2, s: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 24*y + 5. Let o be k(24). Let g(v) = v**3 - 6*v**2 + 2*v - 8. Let q be g(6). Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 2 = 4*u. Suppose -u*p = -3*p + 6. Suppose -5*k + 3*k + 2 = 0. Which is the closest to k? (a) p (b) -0.2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.3. Let c be 832\/6 + (-2 - (-14)\/6). Let m = 140 - c. Sort m, 5, w in descending order.\nAnswer: 5, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2. Let o be (-11)\/(-22) - 430\/(-4). Let u(x) = -x - o + 108 + 2*x. Calculate u(n(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 89431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2))\/((-18)\/(-27)) - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 - 18187*y**2 + 804*y - 804*y + 36369*y**2 - 18182*y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(119)\/(sqrt(21)\/sqrt(3)))**2*5.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3462 and 3858.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 504, -81 in decreasing order.\nAnswer: 504, 4, -4, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 291 and 4268.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 5*u + 5. Let k be d(-5). Let n(v) be the third derivative of 0*v - 1\/24*v**4 - 1\/6*v**3 + 0 + v**2. Give n(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -117 - -168. Suppose -5*m - 66 + a = 0. Let z(f) = -f**3 - 4*f**2 - 5*f + 1. Does 6 divide z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-1)*(2 + (-17)\/4). Solve 7066*v**5 + 15 - 7086*v**5 - 115*v**4 - 210*v**3 - 10*v + c*v**2 - 167*v**2 = 0 for v.\nAnswer: -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6727457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**3\/7 - 12504*x**2\/7 + 455328*x\/7 = 0.\nAnswer: -3162, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7243.822594 rounded to the nearest ten?\nAnswer: 7240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2136)\/20 - 4)\/(6\/(-15)). Suppose -4*w + t = -55. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*n + 34*n - 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/734 and -11\/18?\nAnswer: 6606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 2*z = -4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 640 + -638. Solve -p*d + 8 = -2*y + 3*d, 5*y + d = 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**4\/6 - 61*p**3\/6 + 35*p**2 + 103*p. Let r be v(30). What is the highest common factor of 180 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107.8, -3, 0.024, 2\/13 in ascending order.\nAnswer: -107.8, -3, 0.024, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 25\/6*z**3 - 31*z - 5\/12*z**4 + 15*z**2 + 0. Factor h(a).\nAnswer: -5*(a - 6)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215263683?\nAnswer: 17, 71486099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1615, 1614, 1613, 1612, 1611?\n\"Answer: -d + 1616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/9*(-21)\/98\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*k + 2866 + 521 = 163*k - 4023 for k.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44 less than 36741.2?\nAnswer: 36740.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -111304150.1 rounded to the nearest 10000?\nAnswer: -111300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -14 + 23. Let s(n) = n**2 - h*n**2 + 2*n**2 + n**2. Determine s(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60868, 156, -3.\nAnswer: -3, 156, 60868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 25643.4947 to the nearest integer.\nAnswer: 25643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*r**4 + 57*r**2.\nAnswer: 1296*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k - 22. Let p be l(-7). Which is the third biggest value? (a) -0.1 (b) 10\/9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008725571 rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7558968812 take away -0.13?\nAnswer: -7558968811.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 13. Suppose f*g + 2 + 0 = 0. Is g\/((-325)\/(-163) - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -4, -4\/9, 2.2, 4, -1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 179508?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.21*-36\nAnswer: -7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6378 or -4429?\nAnswer: -6378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, 2, 3, -3, 25, -21 in increasing order.\nAnswer: -21, -15, -5, -3, 2, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**7\/2100 - b**6\/450 + b**5\/300 + b**4\/30 - b**3 - 3*b. Let v(l) be the second derivative of y(l). What is m in v(m) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9*-1*14\/6. Let a = c - -25. Solve 0 = -p - a*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 + 60 = -60*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 223 + -210. Calculate the remainder when 41 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/(y*y**5))\/y))**(1\/44)*y\/(y\/(y\/(y*(y**(17\/2)\/y*y)\/y)*y))*y**(-13) assuming y is positive.\nAnswer: y**(-851\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4*4 + 2. Let s(u) = u**2 + 21. Is 14 a factor of s(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983866 is divided by 122818.\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6217?\nAnswer: 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22846, -22845, -22844, -22843?\n\"Answer: b - 22847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 2*d**2 - d + 1. Let i be k(-2). Let y be 5 + (0 - (-2 + i)). Differentiate -3 - 5*t**3 + 1 + y*t**3 wrt t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b**3 + 4*b**2 - 4*b**2)*(12 - 6*b - 12) + 6*b**4 - 16*b**4 - 14*b**4 as x + i*b**4 + f*b + a*b**3 + z*b**2 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16166, -16165, -16164, -16163, -16162?\n\"Answer: t - 16167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11836854 and 24?\nAnswer: 47347416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/372209893 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*s - 3063*s**4 + 6 - 1735*s**4 - 2*s + 1350*s**4 wrt s?\nAnswer: -41376*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 12294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 + 12 - 5 - 273*f**3 + 250*f**3 - 7.\nAnswer: -23*f**3 - 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 4*u**2 + u. What is the remainder when 25 is divided by z(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 1317, 3, 0.2, 1\/3, 0.267?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 + 136*j**3 - 140*j**2.\nAnswer: 4*j**2*(j - 1)*(j + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1290*q - 26 - 29 - 23 + 78 in the form r + w*q and give w.\nAnswer: -1290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/5)\/(-3*32\/60). Which is the smallest value? (a) -3\/4 (b) 0.7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + 4 + -3 + 0 + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 946 - 2542. Let y be (q\/(-3))\/(-14 + 16). What is the greatest common divisor of y and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 60*h - 13*h. Let x(f) be the third derivative of 5\/168*f**h + 0*f + 21*f**2 + 1\/21*f**3 + 0 + 1\/210*f**5. Factor x(c).\nAnswer: (c + 2)*(2*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 39 = -3*c, 9*i - 107 = 4*i - 2*c. Let t be 1\/(-2) - i\/(-6). Suppose 2*b**2 - b**3 - b**2 + t*b**2 + 3*b**3 = 0. Calculate b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -7517630?\nAnswer: 1\/1503526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -0.4, 3, -3\/2 in decreasing order.\nAnswer: 59, 3, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*r + 1)*(3*r - 3*r - 2*r) - 2*r**2 - r**2 + 5*r**2 + 0*r**2 + 3*r**2 - r**2 + 382 - 3*r**2 - 382 + 2*r.\nAnswer: 5*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320)\/50*205\/(-82)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 3*s + 3*s + 2*s**2 + 1 - 1 + (-2*s + s**2 + 2*s)*(0 - 2 + 4))*(-1 + 4 - 22).\nAnswer: -57*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25606 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -363, -546, -729?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2522, 5, -156, -3, -5 in increasing order.\nAnswer: -2522, -156, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - -4 - (6\/(-28))\/(9\/(-30)). Put s, 1, 0.7 in descending order.\nAnswer: 1, 0.7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83531240 divided by -4176562\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9273)\/924 + 10)\/(2\/8)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 25 + (7 - -33 - 8 - 32)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**28)**(2\/121) assuming o is positive.\nAnswer: o**(56\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -175 - -177. Suppose -a*p + 343 = -0*p + 5*r, -r = 2*p - 331. What is the remainder when p is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20500.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*y + 1 - 1 - 99*y to the form p + q*y and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5492198 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -86838572 and 48047.\nAnswer: -86790525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2 (b) 3\/23 (c) 0.118 (d) 0.4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-911)\/2485 - (-216)\/504 and 43\/497.\nAnswer: 2485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 5. Let t(a) = -2*a + 8. Let d(m) = -1. Let g(z) = 3*d(z) - t(z). Determine 2*g(i) + 5*v(i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(2\/7)*o)\/o*o)\/(o\/(o**(-6\/5)\/o*o*o*o)))\/((o**5\/o)\/((o*o**(-4)*o)\/o)) assuming o is positive.\nAnswer: o**(-192\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 23*f + 33. Let d be (25\/(-5) - -8) + 13. What are the prime factors of t(d)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 13 = -5*g - 3*x, 2*g = -2*x + 16. Let 57*r**3 - 17*r**5 + g*r**2 + 4*r**2 - 28*r**5 - 12*r - 12*r**4 = 0. What is r?\nAnswer: -1, -2\/3, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 42\/21 + (-22)\/(-10). Let f = -2 + 2. Let k = 0 - f. Are w and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**3 - f + 2. Let b be z(-3). Let r = -47 + b. Factor 63*q**2 - 129*q**2 + r*q**2 - 4*q + q**3.\nAnswer: q*(q - 2)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b = -12*b - 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Let w(q) = q**3 - 23*q**2 - q + 34. What is the remainder when w(23) is divided by (22\/33)\/((-46)\/24 + i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**5\/60 - 13*u**4\/24 - 3*u**3\/2 - 2*u**2. Let n = 1541 - 1553. Calculate y(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Suppose 0*h + 3*h - 9 = 0, -o*v + h - 3 = 0. Suppose -a - y = -v*a + 3, -16 = -4*a + 3*y. Solve a - 3 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.5 - -4.5. What is the closest to -1 in 5, -2\/9, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mybbbwbybbbyyy. What is prob of sequence ywyb?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**3\/6 + 3*n**2. Let r(i) = 8*i - 5 + i**2 + 5*i**2 - 7*i - i. Let v(c) = r(c) - 5*y(c). Let l(t) = -t. Give v(l(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(105\/20))\/(67\/(163614\/(-88))).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g. Let r = -10 - -6. Let j = 26 + r. Let y(u) = -u**2 - j*u + 22*u. What is y(l(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182757 is divided by 60905.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144153.\nAnswer: 3, 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1150, 1146, 1140, 1132?\nAnswer: 1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -67*m - 7. Let l be h(-2). Let g = -124 + l. Suppose -4 + 28 = g*c. Solve -c*a = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24477 and 0.03.\nAnswer: 734.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4876504558 rounded to the nearest one million?\nAnswer: 4877000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 8*b + 20. Let l be i(-6). What is the third derivative of -w**2 + 24*w**3 - 6*w**5 - l*w**3 + 8*w**3 + 18*w wrt w?\nAnswer: -360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37080)\/2163 - (-2 - (-52)\/28)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*d - 15. Let o = 0.83 + -0.73. Let r = 0 - 1. Sort o, r, d.\nAnswer: r, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1.91 (b) 0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + 7 - (-9 - -12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 3*m**2 - m - 1. Let k be h(3). Let a be 4 + -10*2\/k. Put 1\/4, a, -1\/5 in descending order.\nAnswer: a, 1\/4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u**3\/9 + 31196*u**2\/3 - 9930865*u\/9 + 943250\/3 = 0.\nAnswer: -13475, 2\/7, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6 - 5772\/144. Let i = 41 + r. Factor i - 1\/4*b**2 + 0*b.\nAnswer: -(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 31, 91, 181, 301, 451?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*c + 10*c + 45, 437 = -2*d - 29*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9060 is divided by 259?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -64765726*r + 120651710.\nAnswer: -64765726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {b: 3, p: 9}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 122400199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 5. Let m be (0 - 5)*(-26)\/(-65). Let k be (m - -2)\/(1\/(-1)). Calculate s(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -870*s - 36628 + 8446 = -16*s for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*y - y. Let r = 76840 - 76728. What is the remainder when r is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 159 - b**2 - 38 + 5*b + 107. Is 18 a factor of t(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 11 + 53*b - 56*b + (-1 + 1 + b)*(1 - 3 + 0) in the form m*b + v and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 7 = -l. Let k = l + -6. Let t(d) be the second derivative of d**4\/3 - d**2\/2 + d. Give t(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 948.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -43.6. Which is smaller: b or 1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930 is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 0*n + 1\/4*n**2 - 1\/6*n**3 + 6. Factor y(c).\nAnswer: -c*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l + 172. Does 24 divide o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383051, 766092, 1149131, 1532168, 1915203, 2298236, 2681267?\nAnswer: 3064296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 4 + -3 - 1) + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-3)\/(-12))\/(6\/4)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7450.0133151 + -7430.2133. Let a = -0.156 - -19.956. Let z = a - g. Round z to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-14)*(-49)\/(-14). Suppose -3*w = 2*m + 16, -3*w = -2*w - 5*m - 6. Put -7, t, w in decreasing order.\nAnswer: t, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylc when three letters picked without replacement from {d: 5, y: 4, r: 1, c: 3, l: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/154395 and 83\/4462650?\nAnswer: 325773450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*d - c - 3940, d = 5*c + 985. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3695*v - 33255. Let u be a(9). Factor -4\/3*y + u + 1\/6*y**2.\nAnswer: y*(y - 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-600)\/66)\/(-5) - 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -1\/2*t**2 - 11\/42*t**7 - 7\/2*t**3 + 0*t**4 - 2*t + 0*t**6 + 0*t**5 - 11. What is the second derivative of j(u) wrt u?\nAnswer: -220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - sqrt(76)*-2*-4) + sqrt(76) + sqrt(76) + sqrt(76))\/((2*sqrt(48))\/sqrt(12)) + sqrt(228)\/((sqrt(72)*2)\/sqrt(6))*-1.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w + 41*w = 79*w + 36. Suppose -4*c - 64 = -l, 5*l - 338 = 4*c - 2*c. Suppose -2*i - l = -0*i. Is i at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2*y = 2, -94*a + 5*y = 123 - 524 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 143 and 8?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40540 (base 7) to base 4.\nAnswer: 2122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, f: 3, g: 3, a: 1, o: 8, s: 1}. What is prob of sequence ook?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 260531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l - 324 = -84. Solve -8*m = 42 - l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 10. Is 50*((-18)\/c - 1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -k - 4*h - 3, 2*h + 10 = -4*k. Let u = 118\/585 - 16\/45. Let z = -249\/2 - -127. Which is the closest to -2\/3? (a) k (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 12:23 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7*g + 4. Let c be p(-4). Let s = c + 37. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*7\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/1*6 + 19839\/3112. Let j = -61 - -66.9. Let w = 0.9 - j. Which is the second smallest value? (a) w (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*k**2*x**2 + 49*k**2 - 2*x**3 wrt x?\nAnswer: -22*k**2*x - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 727 at least 762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-30))\/(6\/9). Let q(x) be the first derivative of 0*x**2 - 2 - 2*x + a*x**5 + 0*x**4 + 0*x**3. Find the first derivative of q(p) wrt p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*((-36)\/90)\/(1\/5))\/3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3910974 and 246638?\nAnswer: 27376818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, x: 1, b: 3, i: 1}. Give prob of picking 1 x and 3 b.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -20*o - 1. Calculate f(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1646890?\nAnswer: 2, 5, 7, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b*c*z - 4470105*b*z**2 + 5*c*z**2 + 207*c*z - 3*c + 2*z**2 - 271*z + 3 wrt b?\nAnswer: c*z - 4470105*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(162) + -2) - sqrt(162)) + (sqrt(162) - 4*sqrt(162)*1))**2.\nAnswer: -1620*sqrt(2) + 13222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 3*m - 18. Let d(p) = 14*p - 19. Let o(b) = -b**2 + 5*b. Let z(t) = d(t) - 2*o(t). Determine -4*n(a) + 3*z(a).\nAnswer: 2*a**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1179591773?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*m, -m = 4*v - 3*m - 6. Let k be (-1)\/((-1)\/4*2). Solve -n**2 + 3*n**3 + 6*n**2 + v*n + k*n = 0 for n.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -3. Does 5 divide 11 + k*2\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4278338324 - 4278338324 + 41*u.\nAnswer: 41*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f**2 - 14*f + 2. Let d be t(-6). Let i = d - -168. Let x(m) = -m**2 + 2. Calculate x(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.4 (b) 3\/5 (c) 0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33\/(-21) - -1 - 5745\/(-21). Let m = h + -268. Solve m*f + 13 = -2*y, -f + y = 2*f + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**3\/3 + 35*d**2\/2 + 54*d + 293. What is the units digit of b(-52)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -32. Solve -s + 0*z + 6 = -3*z, 4*z = -q*s - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10122221222210 (base 3) to base 16\nAnswer: -1db8ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7930485, -7930486, -7930485, -7930482, -7930477, -7930470?\nAnswer: -7930461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -712173536 divided by 6352.\nAnswer: -112118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 27. What is the greatest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1523, 1526, 1555, 1628, 1763, 1978, 2291, 2720?\nAnswer: 3283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 6:08 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/45)\/j)\/j**(-4)*j**(-10)*(j\/j**10)\/j)**(1\/5) assuming j is positive.\nAnswer: j**(-767\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1903 - -2) + -3*4\/(-12). Let k = a + 3648. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*y - 3 = -14, -y - 1 = 0. Suppose -2*s + 16 = 5*h + 2*s, -3*h + 10 = 2*s. Solve -17 = -h*k - m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1 + sqrt(19) + 0)**2 - sqrt(19)).\nAnswer: -3*sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 5*a + 3. Let z(r) = -r**2 - 7*r + 6. Let m be z(-6). Let k be (2 - m\/2) + 11. Suppose y - 3*n = -k, y - 4*n + 4 = -6. Determine t(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -239 - -220. Sort -3, x, 1, -10.\nAnswer: x, -10, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9552 - 9044. Calculate the remainder when j is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20776264.\nAnswer: 2, 1213, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/6, 45.63, -0.08?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 4, -4\/3, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1188*j - 10449 = -336*j + 363*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 2298?\nAnswer: 18384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 0*o - 6*o)*(26 - 3 + 1)*(1 - 2 + 2 - 3 + 1 + 1 + (4 - 4 + 2)*(2 + 0 + 0) - 2 + 2 - 1) as c + a*o and give a.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 12*l - 9*l, -5*v + 15480 = 5*l. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 12*k + 31*k - 2*k + k + 0*k - 2*k + 4*k - k + (0 - 3 + 4)*(2*k + 2*k - 6*k))*(17 - 50*k**2 - 38 + 23).\nAnswer: -1050*k**3 + 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(-2))\/a)**(-1\/7)\/(a**(-1))**(11\/2) assuming a is positive.\nAnswer: a**(71\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 315520?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37481\/(-9117) - ((-38)\/18 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -968 + 423. Let f = 1636\/3 + l. Which is the closest to f? (a) 6 (b) 0.02 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25913, -51421, -76929?\n\"Answer: -25508*r - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15770656?\nAnswer: 2, 11, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 947.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -a + 2*u, -a + u + 34 = a. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187326 is divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -118. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2661511 (base 7) in base 5?\nAnswer: -42214032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 a factor of 6177164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-15))\/(1 - (-161)\/(-42)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5 - 18*k**4 + 32*k**3 + 2*k**2 - 33*k + 16.\nAnswer: (k - 16)*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -647 - -2a4?\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1453?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 670 + 36536. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - (7410\/(-75) - (-2)\/(-10)). Let l = w - -85. What is the remainder when l is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1218*g. Let k(m) = 102*m**2 + 2*m + 53*m**2 - 2*m - 154*m**2. Give k(n(z)).\nAnswer: 1483524*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**5\/20 + 5*n**4\/12 - 5*n**3\/6 + 3*n**2\/2 + 31*n. Let v(o) = 3*o - 6. Let g be v(7). Let x be 6\/15 - 96\/g. What is z(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(14\/21*-9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8745095 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4757 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 460 = 5*b, 2*m - b - 231 = 213. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/45 (b) -2\/7 (c) 0.5 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 7*i**2 + 7*i + 5. Let u be v(-6). Let g be -2 + (-1)\/u + -70. Let s = -20 - g. Round s to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 5*v = 18. Suppose -2*l + 18 = g, -4*l + 2*g = v*g - 32. Let w(y) = 5*y - 37. Calculate w(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 1. Let a = 431 - 285. Suppose 5*d - 2*h = a, -6*h - 15 = -h. Suppose u + d = 29. What is g(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 + -69.9. Put h, 2, -4 in increasing order.\nAnswer: -4, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 290.03992 - 290. What is k rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1919*n + 4174*n - 4313*n + (n + 2 - 2)*(6 + 0 - 5) + (0 + 2 + 0)*(-2*n + 0 + 0).\nAnswer: 1777*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**3 - 1995 + 762 + 741 + 492.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1255849199 divided by -10378919.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -172*s + 29062. What is p(169)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6966048 and 1788?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -26, 2, -2, -457, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -5.9, 0.4, 22.\nAnswer: -5.9, 0, 0.4, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2639 + -36853\/14. Let w = -6 - -1. Calculate the common denominator of (-38)\/(-16) - (w - -4) and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 452*h - 9 + 28*h**2 - 13*h**2 + h**3 - 418*h. Let t be b(-10). Let q = -32 + t. What is q rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + w**2 - 478*w + 2941. Give k(17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11*k - 188. Give w(16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 161193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -22469886 divided by 138703\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 5*u**2 + 2*u - 5. Let r be m(5). Suppose -d - t = -0*t, r*t = -2*d - 6. Suppose 3*i + d*i = 0. Solve i = 2*x - x + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwf when three letters picked without replacement from fppnwfwwnpw?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5010\/40 - 1\/4. Let i = k - 51. Calculate the lowest common multiple of i and 14.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 13) to base 8\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2.12. Let v = s - 0.28. Let n = 1.13 + -0.83. What is the third smallest value in v, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 814 - 707. What is the least common multiple of k and 10?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 8, -11 in descending order.\nAnswer: 8, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 8 + 0*g**4 + 173\/120*g**6 - 7*g**2 - 1\/6*g**3 + 0*g + 17\/60*g**5. What is the third derivative of h(f) wrt f?\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3, 2\/7, 45509, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + c**3 + 2*c**2)*(-181*c - 1099 + 1099).\nAnswer: -181*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1 = 4*o. Let a(f) = f**2 + 5*f - 6. Let r be a(-6). What is the third smallest value in r, o, -5\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -13.2, 0.5, -0.4, 45?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*l**2 + 29*l - 53*l + 27*l + 2*l**2 - 3*l**2 + 0*l**2 + (0 - 2*l + 0)*(-2 + 2 - 2*l) as w + j*l + s*l**2 and give s.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042817522.\nAnswer: 2, 5521, 94441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -982*g. Let f(p) = 3*p**2. Calculate f(z(n)).\nAnswer: 2892972*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*d + 5500, r - 3*d - 1019 = 349. Suppose 27*q - r = 21*q. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/23 + 113352*g + 36939943224 = 0 for g.\nAnswer: -651774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 79*x**2 - 4*x + 39*x**2.\nAnswer: 118*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 556 - 378. Let q = r + -177.27. Let w = q - 0.729892. What is w rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -185 + 184.5. Let h = -0.89 + 1.89. Which is the smallest value? (a) n (b) 2\/303 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -h - 1. Let q(l) be the first derivative of h*l**2 - 4\/15*l**5 - 1\/9*l**6 - 1\/6*l**4 + 0*l**3 - 3 + 0*l. Solve q(a) = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*l + 130*l = 5. Let w(s) = 156*s - 8. List the prime factors of w(l).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/62)\/(-1*(-1)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**5\/120 - 5*x**4\/48 + x**3\/3 - 7*x**2. Factor i(z).\nAnswer: (z - 4)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - ((7 - -5) + -10 + 9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1381 + -1379. Let w(h) be the first derivative of 4*h**3\/3 + h**2 - 3. What is w(y)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i - 5*i - 14*i - 18 - 7. Let k be x(-8). Let u = 179 - k. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 5. Let q be r(-5). Let c = 17 + -36. Let v = q - c. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 25b4?\nAnswer: 25b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 31. Let j be t(13). Suppose -5*l - 23 = -i, -7 = -3*l + 2*i - j. Let b be (2\/l)\/((-18)\/45). Which is smaller: 2\/53 or b?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 6*r**3 - 4 + (-2*r**2 - r**2 + r**2)*(-2 + 2 + 2*r) + 3*r - 3*r + 2*r**3 + 0*r + 0*r + r**3 in the form n + u*r + l*r**3 + q*r**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.941443 microseconds to seconds.\nAnswer: 0.000008941443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -5, -6, -119 in increasing order.\nAnswer: -119, -6, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102983, -7\/13, 24 in ascending order.\nAnswer: -7\/13, 24, 102983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-78))\/(3\/(-39)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13425, -2, -3\/5 in ascending order.\nAnswer: -13425, -2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5514*z**2 + 3 + 11687*z**2 + 138*z**3 - 6173*z**2 - 19*z**3.\nAnswer: 119*z**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14461 plus 0.5?\nAnswer: 14461.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -581235 divided by -4.\nAnswer: 581235\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -2.18\nAnswer: -0.1526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2355.22403 to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18602860 by -185.\nAnswer: 100556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 5:41 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/24 + -3)*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 197*y**4\/4 + 597*y**2 + 303*y. Find the first derivative of j(h) wrt h.\nAnswer: 1182*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47*c**2 + 190*c - 8.\nAnswer: -(c - 4)*(47*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/11)\/i*i*i**(-4\/3)*i)\/(i*i**(2\/3)*i*i**(-5)) assuming i is positive.\nAnswer: i**(21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2254 and 109920818?\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57246)\/(-42)*(-30)\/(-435)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {f: 7, u: 6}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 627116 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from {u: 5, f: 1, d: 1, a: 13}?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*t**3 + t**2 + 101*t**3 - 552 - 6*t**5 - 46*t**3 - 11*t**6 wrt t.\nAnswer: -1320*t**3 - 360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3, -4970, -1 in descending order.\nAnswer: -1, -3, -14, -4970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*d**3 + 2*d**2 - 1627 wrt d?\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + (sqrt(1100) + -1 + -2 - (sqrt(1100) - (-4 + -2*sqrt(1100)))) + sqrt(1100) + 1 + 5 + sqrt(1100) + 2 + 2*sqrt(1100) + -2)**2.\nAnswer: -240*sqrt(11) + 4438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21\/10 in -0.3, -3, -15935, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36*(-5 - (-54)\/12))\/(-2). What is the greatest common divisor of o and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(8\/(-50))\/((-1089)\/(-47190))*15\/6?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6037461 (base 8) to base 13.\nAnswer: -43837c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16, -75, -246, -589, -1164, -2031, -3250, -4881?\n\"Answer: -10*y**3 + 4*y**2 - y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99*-13293.\nAnswer: -1316007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/32 + 37\/160. Let z = 8723\/3 - 2907. Which is the closest to -2\/3? (a) -0.1 (b) -1 (c) z (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/101871 and 47\/160083.\nAnswer: 1120581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -275, 2\/9, -2\/7 in ascending order.\nAnswer: -275, -2\/7, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b - 4*o = -44, -2*b - 22 = -5*o. Let g = 12 + b. Let u = -76\/3 + 25. Put u, g, -1 in decreasing order.\nAnswer: g, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-28) + 4\/16.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 207?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from {x: 4, g: 9, m: 3, w: 2, f: 1}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7304905*o*u + 8233061*u wrt o?\nAnswer: 7304905*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2288.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2. Let k(l) = -3878*l. Determine k(m(t)).\nAnswer: -7756*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792.3892 decades to months.\nAnswer: 95086.704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 288\/(-18720) - 2198\/(-910)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16002 (base 8) in base 2?\nAnswer: 1110000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321132?\nAnswer: 2, 43, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31375 is divided by 2888?\nAnswer: 2495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17547006 rounded to three dps?\nAnswer: 0.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 361*r**2\/4 + 57*r + 9.\nAnswer: (19*r + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmlzlvl. What is prob of sequence zv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n - 6. Let y(a) = -2 - 11*a + 7 + 12*a - 5*a. What is -6*m(v) - 7*y(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (187\/(-22) - (-77)\/(-22))\/((-3)\/5). Solve 0 = 4*n + z, -3 = -4*f - n - 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 10*g**2 + 12*g - 4. Let q(t) = -t**3 + 3*t**2 + 4*t - 3. Let m = -6 - -9. Let f be q(m). Is n(f) 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 25\/44 and 1*(-4)\/8*(-168)\/(-20).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 - 3*i**4 + 4*i**4 + ((5 - 1 - 2)*(1 - 1 + 2) + (28 + 28 - 22)*(-2 + 2 + 1))*(0*i**4 + 5*i**4 - 3*i**4).\nAnswer: 75*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/2356)\/(4\/124).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 1053*k - 1056*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 343*u. Let f(m) = 9*m + 24*m + 10*m + 11*m - 45*m. What is 154*f(z) - 4*l(z)?\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 + 0)*(3 - 1 - 4) + 4 + 11 + 3)*(8 + 2*b - 8).\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + 1)\/(4\/54). Let i = 52 - 46. Let g(x) = 2*x**2 - 6*x. Let p be g(i). What is the greatest common divisor of v and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -15.454.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g - g**3 + 11*g)*(g**2 + g - 5*g + 3*g).\nAnswer: -g**5 + g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8282526003.\nAnswer: 3, 920280667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/252918 and -29\/33.\nAnswer: 2782098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661575120?\nAnswer: 2, 3, 5, 2756563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 373967882?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76096*b*r**2 - 5*b*r - 2*b + 495*r - 12 wrt r.\nAnswer: 152192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -3*k**7\/14 + k**5\/10 - k**3\/3 - 55*k. Find the second derivative of r(n) wrt n.\nAnswer: -180*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3764.0404 and 1241411.\nAnswer: 1245175.0404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1334, 1338, 1344, 1352?\nAnswer: 1362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0841 rounded to 3 decimal places?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/89892 and -13\/516.\nAnswer: 3865356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1374732 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -22518567 divided by 2502063\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11*a**3 - a**2 - 3*a + 1. Let l be (-2)\/(-10) + 189\/105. Let x be y(l). Suppose -3 = 3*w, -3*w + x = 4*f - 38. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2. Let o be k(1). Suppose 15 = l - 1. Suppose 2*b - 4*x = l, 7*b = 3*b - 2*x + 72. Calculate the greatest common factor of o and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, q: 4, w: 1, g: 2, t: 1, d: 2}. Give prob of picking 2 g, 1 t, and 1 q.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -1, 5, -4 in ascending order.\nAnswer: -4, -1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 + -12 + 4 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*j - 48. Suppose j*y - 18*y + 2*l - 2 = 0, 5*y + 10 = -5*l. Which is greater: -1\/639 or y?\nAnswer: -1\/639","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/1*7\/(-21). Let z be -2*76\/(-8) - j. What is the greatest common factor of 55 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3 + 118041*r**3 - 6 - 118038*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, -468, -703, -938, -1173?\nAnswer: -1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12035682 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26614? (a) 3.3 (b) 1 (c) 0 (d) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 740.2755 minutes in seconds?\nAnswer: 44416.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(55)\/sqrt(125))*-4 + (sqrt(176) - (sqrt(176) - (sqrt(176) + (sqrt(176)*3 - sqrt(176))*3 - sqrt(176))**2)).\nAnswer: -16*sqrt(11)\/5 + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*p + 6273931 = 21*p + 19*p. What are the prime factors of p?\nAnswer: 57559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/6 - 127*a\/6 - 1144\/3.\nAnswer: (a - 143)*(a + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 73*p - 1. What is the remainder when f(1) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2168 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -6. Let f(h) = -36*h - 2*h**2 + 6 - 89*h + 139*h. Let d(w) = w**2 - 5*w - 2. Give c*d(u) + 3*f(u).\nAnswer: 2*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/192 and 21\/4.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 172762 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8210 and 5142744?\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -1933565?\nAnswer: -1933561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*v + 125, 3*v - 4*n = -2*v + 107. Let g = -34 + v. Let u = g + 13. Solve u + 4 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(40)\/(sqrt(5) + sqrt(20)\/sqrt(4))) - 6*(sqrt(847) + -1).\nAnswer: -64*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 - 59 + 194)*(-3*h + 14*h + 10*h + (-3*h + 5*h - 3*h)*(-1 - 2 + 1)).\nAnswer: 2001*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31\/4 - -33\/4. Let g = -80.6 - -98. Which is smaller: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -39*9\/2*(-84)\/(-63). Let i be (32\/(-14))\/(o\/63). Let -24\/13*u - i*u**3 + 30\/13*u**2 - 8\/13 = 0. What is u?\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + -5)\/(-4) - (-2 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98610)\/22490)\/(18\/(-52)).\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - 22*r + 0 - 2.\nAnswer: -22*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87 and (-160)\/96 - (-118)\/6.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 210293064.\nAnswer: 1051465320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -16.5. Let k = -2.4 + v. Let p = k - 0.6. What is the second smallest value in p, 4\/9, -2\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327515 is divided by 108297.\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 9:45 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -71, -134, -193, -248, -299, -346, -389?\n\"Answer: 2*d**2 - 69*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-13))**(-25\/2) assuming h is positive.\nAnswer: h**(325\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-672)\/(-48))\/84)\/((-1)\/54)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is bb126c (base 14) in base 6?\nAnswer: 343532304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6446183 (base 9) to base 11\nAnswer: 1a5028a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3629019527520*k + 3629019527520*k - 2*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/10*(19800\/70)\/(-6). Let t = 207 - u. Which is the third biggest value? (a) -1\/4 (b) -0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-51372)\/(-54)*(-3)\/(-2). Suppose -h - 325 = -t. List the prime factors of h\/8 + (-63)\/84.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 103.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*j + 3*z, -z - 5 = -4*j + 3. Let h(v) be the first derivative of v**4\/4 + 2*v**3\/3 - v**2\/2 - 2. Let c be h(j). Which is bigger: 2\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/((-7)\/(-42)). Suppose 14 = b - 4*z - 9, g*z + 16 = 2*b. Calculate the smallest common multiple of (4\/2 - -8)\/2 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31160 rounded to the nearest one thousand?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((35\/(-7))\/(-15))\/(2\/407214). Let n be g\/72 - 3\/(-8). Suppose n = 4*w - a, 2*w + 4*a + a = 477. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36939420 or 406333632\/11?\nAnswer: 36939420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 200 - 2*w**2 + 63 + 373 - 3*w**2 + w**3.\nAnswer: w**3 - 8*w**2 + 236","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p + 5. Let z(s) = 14 + 0*s + 10*s + 2*s. Let x(i) = 8*v(i) - 3*z(i). Let f be x(-5). Solve -5*b + f = 4*u, 9*b = -5*u + 4*b + 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.22262 and 1.057.\nAnswer: 14.27962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 26. Let o(y) = -3*y**2 - 31*y - 48. Let w(l) = l**2 + 15*l + 24. Let c(k) = 2*o(k) + 5*w(k). What is the remainder when c(11) is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 4:33 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/3, 0.038, -3, -0.6, -4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -2, 0.4, 4, 40 in decreasing order.\nAnswer: 40, 4, 0.4, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b620 + 9?\nAnswer: -b617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 p, and 1 z when three letters picked without replacement from {h: 1, p: 3, b: 1, z: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-2 - -3)*2. Let y be 21\/14*1\/f. Sort -6, 1\/8, y in descending order.\nAnswer: 1\/8, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 19. Calculate r(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (0 - -6)) + -11 - -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 p, and 1 w when three letters picked without replacement from hwhhpwhhwthzhwt.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360179 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Let n(r) = -3 + 3*r + 0*r**u + 0 - r**2. Let x(q) = q**2. Let p(d) = -n(d) - 3*x(d). Determine p(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29004 = 31*r + 2127. Let u = 957 - r. Calculate the smallest common multiple of 9 and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 163, -1, -6 in ascending order.\nAnswer: -6, -1, 20, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from lhobhtthlhhh.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1500 and 52100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = 2, k = 3*p + 1. Let o = p + 2. What is the derivative of -3 + 26*i**2 - 26*i**2 - o*i**3 wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(8\/(-4))\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47\/24 + -13\/8. Let d = -35 - -37. Let n = -1263\/7 - -180. Which is the closest to -0.1? (a) n (b) m (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1475)\/15*(20\/48)\/(150\/108)*-2.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*2\/32)\/(3\/(-9)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 + 17 - 3*p**2 + 2*p**2)*(270*p + 269*p + 8 - 538*p) to the form d*p**2 + f*p + u + r*p**3 and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10040 + -1?\nAnswer: -10041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(-2*sqrt(75) + sqrt(3)).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1010010101011010 (base 2) to base 15\nAnswer: -c820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 = -5*y - 1, 35 = 5*y - 5*h. Let c(i) = -2*i**2 - 5*i + 3*i**2 + 4*i - y. What is the units digit of c(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 650.9481 + 0.0519. Let s = u + -651.4. Let k = 8.3 + -8. Which is the nearest to 0.1? (a) k (b) s (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 6 + 5 - 14 - 559*j to g*j + s and give g.\nAnswer: -559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2099\/5 - (-6)\/30. Suppose 3*j = -3*d - r, -4*j - 125 = d - 0*j. Let k = 216 + d. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75907\/12 - -12675\/2. What is the common denominator of p and -149\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -591 + -1420. Let w = 9365 + o. Let i = 12189 - w. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*j = -48, -5*j + j + 94 = 3*c. Let l = 46 - 19. Let t = c - l. What is the remainder when 20 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 1. Let v(p) = -26*p - 1. Let s(f) = v(f) + 2*x(f). Let q be s(-1). Suppose 2*b - 226 - 296 = 0. What is the greatest common divisor of b and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**5\/30 + w**2. Let t(u) be the second derivative of -3*u + 0*u**2 + 0 + 0*u**3 - 1\/6*u**4. Give t(n(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -2*y - 3*x - 3, -4*x + 21 = 3*y. Let a(t) = -39*t**3 - 2*t**2 - 2*t - 1. Let r be a(-1). Solve -38 + 2*c + r - y*c**2 = 0 for c.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + 2 + 0.\nAnswer: 2 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2 - 18. Suppose -1\/6*v**r + 1\/3 + 1\/2*v - 1\/2*v**3 - 1\/6*v**2 = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**7\/5460 - u**6\/234 - 5*u**5\/156 + u**3 - 9. Let b(y) be the third derivative of x(y). Find i such that b(i) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.22 + -0.22. Let k = d + -3.5. What is the nearest to 3 in k, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/10)\/1*2. Let o be (3 + (z - 4))*1. Suppose -2*k = -7*k - h + 778, o = -4*h - 8. What are the prime factors of k?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17112*i**2 - 13676 wrt i.\nAnswer: 34224*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -349\/7832?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*5\/(-3))\/(8\/(-12)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 454 + -269. Suppose -5*m + 0*m = -u. Suppose -2484*n + 2487*n - 557 = p, -p + 363 = 2*n. Calculate the remainder when n is divided by m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/5)\/(78\/520))\/1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1458.9mg to micrograms.\nAnswer: 1458900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-6))\/((-7)\/21). Solve 4*c = 3*c + b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6*n = 0. Find the second derivative of -4*q + 2*q**2 + 5*q + n*q wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.349 + 1.549. Which is the smallest value? (a) -1.4 (b) -2\/5 (c) n (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-15)*6*182. Suppose 0 = -14*s + 1274 - c. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8128 is divided by 271.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 6*q - 1. Let t be r(6). Let f = 1\/4031 + -52418\/60465. Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -0*w + 2*i - 2, 7 = -4*w - 5*i. Let o be 3\/w - (-5)\/(-10). Let h = o + 3. Solve 3*g = -g - h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5439 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -802*l**2 + 3*l. Let i(j) = 8*j. What is i(r(p))?\nAnswer: -6416*p**2 + 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 42 = -9. Let p(f) = -6*f**2 - f + 4. Let q be p(0). Suppose -17 - 2 = -5*z - k, q*z = -k + 16. What is the remainder when w is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 + -61. Solve -5*z = t - 7, t + y = -2*z + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**5\/60 + 2*u**4 + 36*u**3 - 71*u**2. Let x be t(51). Solve x*w - 68*w = 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*m + 56*m + 80655 = 124*m. Is m a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = 0, 0 = 5*q - 3*d - 293 - 50. Let l be (-8 + q\/8)*0\/2. Solve 3*o = n - 0*n + 15, 3*o + n - 9 = l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 53*b + 1 + 50*b - 104*b + 2.\nAnswer: -b - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u**2 + 3*u - 1. Let g(v) = -10*v**2 - 4*v + 1. Let i(f) = 5*g(f) + 6*o(f). Determine i(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**2\/4 - 55399*i\/2 + 3069049201\/4 = 0.\nAnswer: 55399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 26, -155 in descending order.\nAnswer: 26, 0, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -384*o + 14578. Calculate w(38).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2 = -3*x - c, -3*c - 4 = x. Let d(k) = -k + 8. Let y be d(x). Suppose -109 = y*q - 439. What are the prime factors of q?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010002020 (base 3) to base 5.\nAnswer: 2312423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 6:16 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 61617210 to the power of 1\/2, to the nearest integer?\nAnswer: 7850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.5 (c) 2\/9 (d) -197 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssgwwgssxscsisswxsig.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.33 + 8. Let d = 0.31 + u. What is the nearest to d in 1\/8, 0.4, -1\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9\/t**1)**(-1\/5)\/(t**(-1\/16)*t*t**(2\/5))**(19\/4) assuming t is positive.\nAnswer: t**(-509\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 296490470 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {d: 3, a: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000158 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500476149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59303440, 59303438, 59303436?\nAnswer: 59303434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 1, 4\/5 in decreasing order.\nAnswer: 1, 4\/5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1441 - 691.8559. Let l = 307 + q. Let f = -384.9999598 - l. What is f rounded to six dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**23\/(c**9*c))\/(c**(-13\/4)\/c**(1\/53)) assuming c is positive.\nAnswer: c**(3449\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 12:37 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 2:45 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55580*v**2 + 21467*v**2 - 11414 + 24114*v**2 wrt v?\nAnswer: -19998*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*z**3 + 22*z**3 - 55*z**3 + 2*z - 3 - 2*z**2 - 2*z**4 as r*z**2 + v*z + s + w*z**3 + t*z**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/13)\/z**19)\/(z*z*z\/z**(-16))**(-22) assuming z is positive.\nAnswer: z**(5193\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 44*j - 4. Let q be o(3). Suppose -3*w + 10 + q = 0. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -271*c**3 - c**2 + 2*c + 3. Let d be j(-1). Let a = 758 - d. List the prime factors of a.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.8 + -6. What is the closest to -0.1 in l, 1, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (17\/7 - 1)*21 - -3. Let c be 13\/3*(0 + 9). Let g = c - w. Calculate the remainder when 28 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (8 + -11 + -13) - (-1 + -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 5*z**2 - z + 33. Calculate i(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 187919 divided by 113?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -77e - 31?\nAnswer: -7af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*f = -9462 + 13972 for f.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**2 + 13*x + 6. Let z(u) = -3*u**2 + 7*u + 3. What is 6*r(v) - 11*z(v)?\nAnswer: 3*v**2 + v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/161 + 261\/(-621)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*m - 24. Let f(d) = 5*d - 2. What are the prime factors of f(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/35 + (-6)\/(-27). Let h = 4\/35 + a. What is the third biggest value in h, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1738*l - 90370. Determine x(-52).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 + -56. Let y be 1\/((-3)\/6 - m). Which is the closest to y? (a) -2\/3 (b) -2\/9 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 49735 - -42?\nAnswer: 49777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*x - 18 = 59*x. What is the remainder when (2 - x\/(-2))*6*7 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4206 - -4170. Which is the biggest value? (a) 0.06 (b) 2\/11 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12753 - -7128945\/559. Is 1 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1812*f - 282. Is m(-4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -2077204?\nAnswer: 2077203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -9\/2. Put -0.9, v, -2\/21, -1 in increasing order.\nAnswer: v, -1, -0.9, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 5:47 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-12)*7\/((-21)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 2:19 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0684 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/15, -2.6, 40, -0.254?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*g - 17*g + 28224. Let j = 2666 + g. What is j rounded to the nearest one hundred?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + a**2 + 3)*((2 - 2 - 2*a)*(449 + 497 - 407) - 2 + 2 - a + a + 0*a - 3*a).\nAnswer: -1081*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -225 + 4734. Let b = -4508.9998119 + a. Round b to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3737933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 526258.4t in kilograms?\nAnswer: 526258400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1174*n**2 + 1169*n**2 - 2348*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 9*r - 9. What is the units digit of n(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15856021?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 - -2. Let f be 4\/8 + 3\/2. Suppose -5 = -v - f. Sort t, -6, v in ascending order.\nAnswer: -6, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4572, -18613, -42580, -76935, -122140?\n\"Answer: -77*w**3 - 4501*w**2 + w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 26690 divided by -157\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 903.945 - 844.94484. Let a = x + -59. What is a rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 162025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k - 1674 + 1674.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by 324.\nAnswer: 59\/324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 3*d - 6. Let o be x(-4). Let i = o - -16. Suppose 0 = -5*v + 2*m + 56, 2*v + 3*m = m + i. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1918*w - 24. Calculate p(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**3 - g**2 - 2*g - 1. Let q be b(-1). Let m = -0.11 + 0.2. Let z = -0.21 - m. What is the biggest value in q, z, -1\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r - 25 + 4*r + 18. Let a be x(9). What is the tens digit of (120\/36)\/(a\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*r, -t - 2*r = 5 - 34. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/26 or -138?\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.267 - -0.25. What is x rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 85?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1327*x - 1331*x - 16 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*n - 85 = 0, 3*n - 6 = i - 3. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w**3 - 25*w + 25*w.\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1813 and 3524102.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*9\/(-168) - 3\/7.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 13*i**2 + 12*i - 3. Let t be g(-12). Let m = t + 5. Suppose 0 = -4*r - 8, 2*p - 64 = m*r + 3*r. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p + 96. Let n be q(-24). Solve 10*r - 11*r + 2 = n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1\/10 (c) 121.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5720 + 10111 = 3*l. Suppose -4339 = -4*t + l. Suppose 4*d - 1116 = t. Round d to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/12708 and -59\/368176176.\nAnswer: 368176176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 1\/6*g**4 - 2*g**2 + 0*g + 1\/3*g**3 + 7\/60*g**5 + 0. Let s(t) = t**2 + t. Let o be 2\/(-6)*(-6)\/(-2). Give o*v(j) + 6*s(j).\nAnswer: -j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -8 - (-7 + 19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 9824*l**2 + 168. Let n(a) = -5*a + 3. Calculate n(d(p)).\nAnswer: -49120*p**2 - 837","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21129 is divided by 4218?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 45 = 270, c - 5*c + 0*c + y = -2*y + 114 - 39 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f - 2. What is w(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33290078161 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: 19, f: 1}. Give prob of sequence nnnf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1733 is divided by 145?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n + 25*n + 162 = 0. Let c(v) = 6*v + 8. Let w(r) = 3*r + 4. Calculate n*c(g) + 5*w(g).\nAnswer: -3*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*w = 13, -7*c = -9*c + 2*w + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 226 + -108. Factor q*n - 40*n**2 + 2*n**3 - 5*n**5 - 83*n + 10*n**4 + 8*n**3 - 10.\nAnswer: -5*(n - 1)**4*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-2) + -2 + 1. Solve 4*p + 12 = c, 3*y - p = 1 + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from litltltt?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**3\/12 - 63*p**2\/8 + 14049. Factor f(y).\nAnswer: y*(y - 63)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7532, 30174, 67910, 120746, 188688, 271742, 369914?\nAnswer: 483210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/2 + (-657)\/(-162). Let a = 103 - 111. Sort 0.2, z, -2\/3, a in descending order.\nAnswer: 0.2, z, -2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*o - 51. Suppose m + f = -2*m + 19, 3*m = -4*f + o. What is the remainder when m is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:13 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -98768.574 rounded to the nearest one thousand?\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 110*l**2 + 717*l + 1498. What is i(-116)?\nAnswer: -938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300302 (base 4) to base 5.\nAnswer: -44442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20553089.\nAnswer: 20553089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 5*g + 437. Is 42 a factor of w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 924 and 1092?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**4 - 4*n**4 + 5*n**4)*(1 + 4 + 0 - 3 - 3 + 2 + (3 - 3 - 1)*(2 + 2 - 2))*(-14*n - 16*n + 13*n).\nAnswer: 68*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3679 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 196 - 40. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 96507.3 centuries?\nAnswer: 9650730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1\/6, -36 in decreasing order.\nAnswer: 0.5, 1\/6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**15*q\/q**(-2))\/(((q**(-2\/5)*q)\/q)\/(q*q**(3\/5)\/q)) assuming q is positive.\nAnswer: q**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 12:48 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**5\/140 - x**4\/28 + 60*x + 4. Suppose s(w) = 0. What is w?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-225)\/5 + 1113339\/25785 - (4\/18)\/(-1)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/12 + (-191)\/(-3). Let d = j - 19. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c - 15 - 37 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b, -140947 = -7*h - 3*b + 2174803. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400220 (base 6) in base 8?\nAnswer: -74724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2703880 is divided by 282?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 4*k - 4. Let z be k\/15 - 2\/(-6). Suppose -5*y + 2*y - z*r - 261004 = 0, -348001 = 4*y + r. What is y rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5572.07 days to hours.\nAnswer: 133729.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8*p + 39. Let a be (((-480)\/(-45))\/16)\/((-2)\/12). Calculate s(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 1:00 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (-16)\/3*18\/(-12) - 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 18*w**2. Suppose 0 = -3*r - 26 + 32. Suppose -7 = -5*s - 5*g + 18, -2*g = -2*s + r. Let d(v) = -s*v + 6*v - v. Give n(d(h)).\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 23\/8 of a millisecond?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 + -94. What is the lowest common multiple of 33 and o?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h. Let a(x) = -3. Let z(p) = p + 5. Let o(d) = -3*d**3 - d**2 + 1. Let j be o(1). Let v(m) = j*z(m) - 5*a(m). Give v(f(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 157109242 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2365 and 645?\nAnswer: 7095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -11*j + 5\/6*j**3 + 0 - 11\/2*j**2. What are the prime factors of p(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 125\/416 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.11 take away -2.703163?\nAnswer: 15.813163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 2617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, h: 13}. Give prob of picking 2 h and 1 l.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2 + (4 + 0 + sqrt(832) - (-1*sqrt(832) + -1)) + 3 + sqrt(832) + (sqrt(832) - -1*sqrt(832))*5)**2 + -5).\nAnswer: 2080*sqrt(13) + 140703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10918 - 10886. Solve 6*w + d = 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*i - k, -k - 1 = -2*i + 6*i. List the prime factors of (2 - 1)*(-7)\/i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1 - 2 + 4*h + 6*h. Let m = 140 - 139. Is 6 a factor of a(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p - 46. Let a be k(10). Suppose -m + v = -a, 5*m - 2 - 10 = 3*v. Solve m = 4*r - 14 - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5\/3 - 14*p**4\/3 + 2*p**3 + 52*p**2\/3 + 8*p\/3 - 16 = 0. What is p?\nAnswer: -2, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*3)\/(6\/10). Suppose -2*f - f = -4*x - 23, 0 = -m*f + 5*x + 30. Calculate the lowest common multiple of 14 and (f - -2)*5 - -1.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2\/x*x*x**(3\/4)*x\/(x**6*x)*x*x**0)\/(((x**1*x)\/x)**(-1\/60)*(x**(-5\/3)*x)\/x*x\/x**(-4\/7)*x*x) assuming x is positive.\nAnswer: x**(-869\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.7 - 0.3. Let x = -0.0615 - 0.9385. Which is the closest to x? (a) f (b) 2 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24999396 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.93396 years in millennia?\nAnswer: 0.01293396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 37 - 22)*(18*h + 13*h - 28*h - 1)*(-2 + 3 + 1) to the form v*h + a and give v.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*s + 0 + 0)*(-s - 2*s + 2*s) + 6*s**2 + 8*s - 9*s**2 - 12*s)*(-1593 + 1593 + 54*s) in the form g*s + p*s**3 + v + h*s**2 and give p.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6655.5 - -6655. Which is the closest to 36? (a) 4 (b) -0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -992 or -267139?\nAnswer: -267139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*x = 3*x + 171, 3*h - 589 = -4*x. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6695164 or -113817768\/17?\nAnswer: -113817768\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7217\/((-1)\/(-4) - 161\/(-28)). Let a = -3845 - -2646. Let n = x + a. Find the common denominator of -51\/8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6920 and 248050.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 730 and 24157598.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43 in 2, 1\/5, -0.5, 3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3413 divided by 1\nAnswer: 3413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 8*c**2 - c - 13. Let b be -2 + (-3 + -4 - -1). What is k(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173708*p**2 + 173708*p**2 + 81 - 347414*p**2 + 94*p.\nAnswer: 2*p**2 + 94*p + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 133\/(-5)*(-10)\/4. Let s = -163\/3 + i. Find the common denominator of 69\/2 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**3 + 1. Suppose -i - 4 = -3. Let v be r(i). Solve 5*w + 0 = v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18277\/(-105) + 2\/5. Let d = 173 + z. Let v = 2.5 + -2. Put d, 2\/17, v in ascending order.\nAnswer: d, 2\/17, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 265\/364 - -2\/91. Suppose -8*t + 16*t = 16. Put t, -0.06, x in decreasing order.\nAnswer: t, x, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - -7)*(4 + -1). Let g(t) = 3*t**3 - t**2 - 4*t. Let j be g(m). Suppose f - 2*f = 4*p - 15, -4*f - 5*p + j = 0. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 3*l + 340 - 346, -5*f + 15 = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -w + 1, -13*w - 1 = -14*w + 5*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59101590.\nAnswer: 2, 3, 5, 19, 103687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Suppose r + 4*c = 16, w*r + 2*c = r + 14. Let o be 3*r\/(-6) + 1. Is -1 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.8, 2, -0.05, -1\/6?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2582924 - -9.4?\nAnswer: 2582933.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0655127 * -0.83.\nAnswer: -0.054375541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*y + 11 + 76. Suppose 3*q - 2*b = 5*q + 10, -y*q + 5*b + 25 = 0. Solve 4*n - m = -11, q*n = n + m + 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 135 = -5*t. Suppose 0 = 5*w + 4*w - t. Suppose 0 = -2*p - 0 - 4, -w*k - 4*p - 3700008 = 0. Round k to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1610 or -3610?\nAnswer: -3610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2533 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: How many minutes are there between 3:39 PM and 10:29 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, f: 7}. Give prob of picking 2 o and 2 f.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22256 + 37534. List the prime factors of r.\nAnswer: 2, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2300)\/(-140) + -5)\/((-12)\/14)?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*8\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -2. Suppose 9 = 2*d + g, -d = 4*s - 32. Solve -3*a + s*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**4*i*i*i**(-4\/9)*(i\/i**(-3))\/(i**(-2)*i) assuming i is positive.\nAnswer: i**(95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1594, -176, 13\/4, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2099404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8\/7, 0.0289 in increasing order.\nAnswer: -5, -8\/7, 0.0289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 7:20 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3421505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 + -18 + (23 + 7 + 8 + -22 - 13).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -44 - (-72 - 14 - -99)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m + 8*m - 27*m - 5*m + m + 3*m + (m - 3*m + m)*(0 + 0 + 1) - 9*m + 3 - 3)*(4*m**2 + 13*m**2 - 7*m**2).\nAnswer: -230*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 - -64. Which is the nearest to -1\/4? (a) p (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(6)\/sqrt(3))*-6)**2 - (sqrt(100)\/sqrt(5) - sqrt(20))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/61, 0.16, -1318, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(((-8)\/(-13))\/(-4)). Let t be (-4)\/((-4)\/b) - 3. Let k be ((-6)\/(-12))\/(1\/t). Solve -2*q + q = k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*-4*(3*(sqrt(75) + -2))**2*3 + -4)*-2.\nAnswer: -4320*sqrt(3) + 17067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1833582?\nAnswer: 2, 3, 305597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216668.\nAnswer: 2, 54167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1300) + 1 + sqrt(1300))**2 + -2 + -3.\nAnswer: 40*sqrt(13) + 5191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/40)\/(((-8)\/(-20))\/(-1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - -127?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/22 + (-673725)\/(-12155) - (-4)\/34.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -2, -158 in ascending order.\nAnswer: -158, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**4\/24 - 7*s**3\/6 + 15*s**2. Give m(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 5:11 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28920 and 240?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 1000731 + 488907 = 59*z. What is the greatest common factor of 114 and z?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -14*v**2 - 3. Suppose 0 = z - 4*z - s - 5, -3*s = -5*z - 13. Let c be g(z). Calculate the highest common factor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 115 + 47 - 5*y**2.\nAnswer: -5*y**2 + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 123136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14736960 and 27778?\nAnswer: 280002240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 158563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20330554 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4 (b) 0.5 (c) -2\/3 (d) -2\/31 (e) -10\/7 (f) -45 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1331251736?\nAnswer: 2, 8387, 19841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*f**2 - 66*f**2 + 8 + 34*f**2 wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 5*m. Which is smaller: 10\/23 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760175?\nAnswer: 5, 13, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1510*w**3 + 1511*w**3 - 4532*w**3 - 38 + 1522*w**3 + 1 + 28*w**2.\nAnswer: 11*w**3 + 28*w**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8.917 and 359348.9?\nAnswer: 359357.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 7*j - 9. Give u(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**3 - 392*y**2 - 6120*y + 51264 = 0.\nAnswer: -178, -24, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96786666 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61271444539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2421, 9710, 21859, 38868, 60737, 87466, 119055?\n\"Answer: 2430*y**2 - y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/13 or -0.32?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 50. Suppose 8*n - 462 = 146. Let j = u + n. List the prime factors of j.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.099806 + -10.1. What is r rounded to five decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, h: 3, s: 6, b: 4}. What is prob of sequence hb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -85 + 89. Suppose 2 = -0*f - 3*f - w, 0 = -w + b. Let o(p) = p**3 + 8*p**2 - 12*p + 1. Let j be o(-9). What is the closest to f in j, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165 - 11*i + 101 + 42*i - 12*i - 17*i.\nAnswer: 2*i - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -28040 (base 10) to base 5\nAnswer: -1344130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-5 + (-3 + 6 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 180*d + 183.\nAnswer: -3*(d - 61)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -323918 or -323986?\nAnswer: -323918","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Express s**2 + 3*s**2 - 5*s**2 - 6 in the form h + i*s**2 + w*s and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = -52 + 214. Let p be (-4)\/(-4) + 2 + 1. Suppose 0 = -p*n + 30 - 10, 3*n = -3*y + 69. Calculate the smallest common multiple of y and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10744 + -32231\/3. Is p < -530.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 5, 0.11221, -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eewwwebewb. What is prob of sequence ebwe?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 10*m**2. Let o be u(1). Suppose -4 = -x - 5*k, -x + o = k + k. Let d = x - 4. Calculate the highest common divisor of d and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034 times -63?\nAnswer: -2.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 0*q - q + 4 + 0 - 1. Let m(g) = 4*g - 11. Let c = -38 - -23. Let s = c + 21. What is s*m(h) + 22*b(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -8961*b**2 - 593202*b + 593204*b + 2466*b**2 as z*b + y*b**2 + h and give y.\nAnswer: -6495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*f**2 + 2 - 2*f**2 - 2 + (0 - 3 - 3)*(-2*f**2 - 4*f**2 + 5*f**2) - 2*f**2 - 2*f**2 + 6*f**2 - 10*f**2 + 29*f**2 + 16*f**2.\nAnswer: 39*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 5*j + 27, 12*l - 29 = 14*l - 5*j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -4*z + 2*z - 4, 3*t + 4 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1464\/16307 + 2\/709. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*g**4*l**3 + 42*g**3*l**3 - 1202*g**3 - 2*g**2*l**3 - 24*g**2*l - 37*g**2 + 2*l wrt g.\nAnswer: 144*g*l**3 + 252*l**3 - 7212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 717565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45562.\nAnswer: 2, 11, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:20 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101110110101111010 (base 2) in base 14?\nAnswer: -2b1838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1411 - 1434?\nAnswer: -3245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k - 90. Suppose 2*d - 3*t = 53, -d + 2*t + 35 - 6 = 0. Let r be x(d). Solve -11 = r*c - b, 1 = c - 2*b + b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 0, 8, -8, -62 in descending order.\nAnswer: 8, 3, 0, -5, -8, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 747 a factor of 17079912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, v: 3, u: 12}. What is prob of sequence vuvv?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28048 and 160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l = 8*l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2595*a**2*g**2 - 2*a**2*g - 49*g - 9 wrt g.\nAnswer: 5190*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 139d665 (base 14) in base 2?\nAnswer: 100100010101100110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12963272 and 108647?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r + 2*r**2 - 1 + 0 - r**2 + 5. Let n(c) = 2*c**2 + 2*c + 5. Let a(s) = -5*n(s) + 6*w(s). What is a(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1 = q - 21, z = 3. Let d = 14 + -11. Suppose -5*b = -4*h - 14 + 43, -2*h - b = d. Solve -21 = q*i - h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111351959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -15*p - 2. Let s be b(2). Let v = s - -24. Let l be (-4)\/8 - (-92)\/v. Is -12 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and 482.\nAnswer: -530.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -585c + -223?\nAnswer: -5a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-5\/6))\/(b*b*b\/(b*b*b**(2\/5)*b*b)))\/(b\/(b**(-10)*b))**(43\/5) assuming b is positive.\nAnswer: b**(-2533\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 0*p + 10598 - 10798 to the form l*p + m and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37237*z + 37241*z - s + 95 = 0, 4*z - 3*s + 93 = 0 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from tbttbtbbttbt.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (7 - (13 + -17)) - -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.2413 (b) 2 (c) -13.7 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -960 divided by 20.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 25*s**2 + 46*s - 32. Let h be w(-37). What is the highest common factor of 372 and h?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w - 43 = -135 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2 - 4*l - 1. Suppose -b + 13 = h, -42*h - 4*b = -46*h - 4. Let i(n) = -4*n**2 + 3*n + 1. Give h*i(k) + 5*x(k).\nAnswer: -4*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8522712481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**3*c)**10\/((c**(-3)\/c)\/c**(-1\/8)))**(-1\/13) assuming c is positive.\nAnswer: c**(-511\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 257788.\nAnswer: -515576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3273805226?\nAnswer: 2, 17, 96288389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 35*n**4\/12 + n**3\/2 - 7*n**2\/2 - n + 5. What is the hundreds digit of j(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -5 (c) -47 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31048 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484340 is divided by 42384.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -8, -41, -110, -227, -404?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*w**3 - 31*w**3 + 808*w**3 + 2*w**3 - 2*w**3 + w**3 + 2*w - 2*w**3 - 2*w + (2*w**2 - 4 + 4)*(1 - w - 1) - 3*w + 3*w - w**3.\nAnswer: 785*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -682*c + 1367*c - 716*c.\nAnswer: -31*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7229848 and 1720.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1863, 1925, 1977, 2013, 2027, 2013, 1965?\nAnswer: 1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(162)*2)**2 + 0)*2 + (4 + 2*sqrt(162) + sqrt(162) - (sqrt(162) + -2 + 4)).\nAnswer: 18*sqrt(2) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/20 - -1\/4. Let t = 22 + 8. Let r = t - 30.1. Which is the closest to -1\/2? (a) r (b) 0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, l: 3, x: 1, h: 1, n: 8, j: 2}. What is prob of sequence njl?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 10:02 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*m - 13 = -q, -q + 2*m + 6 = 0. Solve 1 - 5 = q*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 3*w + 29, 22*u = 20*u + 4*w + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5308402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/4 + 611*r**3 - 429755*r**2\/4 + 4365283*r - 51493455 = 0. What is r?\nAnswer: 26, 135, 2257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) - 6\/4. Let z be (-82)\/n*(-2 + 3). Let m = z + -29. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8915 is divided by 444.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i**3 + i**2 - i**2.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 126 = -676. What is c rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 s when three letters picked without replacement from {s: 2, b: 1, y: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - v. Suppose -2*a + m = 109, 21*m + 35 = 26*m. Let p(q) = -9*q**3 + q**2 - 9*q. Give a*y(t) + 6*p(t).\nAnswer: -3*t**3 + 6*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + -4 + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 195693 or 195691?\nAnswer: 195693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 16 - 1. Suppose -d + p*d = 306. Suppose -4*w = -w - d. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.1, 116\/7 in descending order.\nAnswer: 116\/7, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 0 - 3*y - 2 - 7*y. Let s be z(-5). Suppose -3*a = -5*n - 214, -a + s = -2*n + 5*n. Calculate the greatest common factor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534810759 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -4 + sqrt(162)*-2*3 + 1 + (0 + sqrt(162) - sqrt(162) - sqrt(162)) + sqrt(162) + sqrt(162)*-2 + 3)*-6*6)**2.\nAnswer: 13436928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 12*996 - (3 - 8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5032988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 85 and -510?\nAnswer: -43350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.44 (b) -6 (c) 13 (d) -77\/4 (e) -4\/5 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312 divided by 12.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 5)*(-2 + 6). Suppose 6*v - 3*v = -2*w - i, w - 4*v = 20. Let b(z) = -1. Let t(o) = o + 2. Let l(q) = -4*b(q) - t(q). Calculate l(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6784, 15950, 25116, 34282, 43448?\nAnswer: 52614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k*k**(-11\/4)*k*k)))**6*k**(-17)\/(k*k**(6\/17)\/k) assuming k is positive.\nAnswer: k**(-335\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*z**2 - 12*z**2 + 7*z**2)*(z - 2*z - z) + 12*z**3 + 206*z**2 + 8*z**3 - 179*z**2 to i*z**3 + o*z + q + u*z**2 and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -30 (b) 0 (c) 2 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -11. Suppose 0 = v*n + 4*d - 27, 2*n + 18 - 43 = -5*d. Suppose -3*z + 51 = t + z, 42 = t - n*z. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 71. Let b = -5 - s. Find the common denominator of 4\/14 + 96\/b and -47\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -4, -3\/8, 10\/9, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 76, 325, 874, 1843, 3352, 5521, 8470, 12319?\n\"Answer: 20*q**3 + 30*q**2 + 19*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -30.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89.09 + 85.09. What is the nearest to -1 in d, 1\/2, 15?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.442987 micrometers in kilometers?\nAnswer: 0.000000003442987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 0 + 1\/2*m**3 + 17*m - 4*m**2. What is the units digit of l(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.103 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.3, -2, -0.3, 1\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8919 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqgqggqgqggq. What is prob of sequence qq?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from fqqqfq.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 53, -1 in ascending order.\nAnswer: -1, 0, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 5*a**2 - 4. Let s = 2 - 7. Let z = 10 + s. Give v(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -1 + 0*s**2 + 3\/4*s**4 + 2\/3*s**3 + 0*s. Find the third derivative of u(n) wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1255388*c**2 + 24386949*c wrt c.\nAnswer: 2510776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 5068?\nAnswer: 5064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012264 rounded to six decimal places?\nAnswer: 0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 0.6. Let a = 12.91 - 7.91. Sort c, -4, a in descending order.\nAnswer: a, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 9.8. Let u = -3675 - -3670. What is the second biggest value in 0, u, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*o + 111. Suppose -2*p + 26 = -o. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 18707760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 18)\/(0 + -1). Let o = -72 - -125. Let a = o + -52.7. What is the second smallest value in t, a, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f. Let k(m) be the first derivative of 15*m**2\/2 - 1. What is j(k(x))?\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8 - -2. Let j = -38 + 36. Which is the smallest value? (a) j (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/(-8))\/(246\/(-328)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -29.2. Let v = h - 8. What is the third smallest value in -1\/6, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b + 27. Suppose -14*z = -4*z - 50. What is the remainder when 67 is divided by l(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/3)*s)\/s*(s\/((s*(s**(1\/2)*s)\/s)\/s))\/s*s*s)**(-25) assuming s is positive.\nAnswer: s**(-475\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20033425 to the nearest integer?\nAnswer: 4476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1258 and -2.364.\nAnswer: -2973.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 771.157 centimeters in micrometers?\nAnswer: 7711570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10575\/150*(-6)\/(-9). Solve -64 = -31*h + i*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2223771 by 79.\nAnswer: 28149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147859*w + 13120 = 148064*w for w.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.7 + 16. Let f be (-10)\/(-12) - 4\/(-6). Which is the nearest to -1\/3? (a) -0.5 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14454 = -3*k - 3*z + 12903, 9115 = k - z. Suppose -52*c - 2*o = -51*c - k, 3*o - 3 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/6525 and (16\/(-4))\/(-21 - 25) + (-5086)\/50025.\nAnswer: 6525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 0*a**2 + 4*a**2)*(-365*a - 70*a**2 + 365*a - 13*a**2).\nAnswer: -166*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -49, -35, -33, -49, -89?\n\"Answer: -c**3 + 21*c - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, t: 3, k: 1, p: 5}. Give prob of sequence ttp.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55370 is divided by 436.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(2\/3)*u))\/(u*u**(-1\/14))*(u*u\/(u\/u**(-10)))\/((u\/u**(-4)*u)\/u) assuming u is positive.\nAnswer: u**(-697\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 21142 + 6272 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -3, 4 in increasing order.\nAnswer: -45, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1736, -4.57, -1 in descending order.\nAnswer: -1, -4.57, -1736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*x + 894 - 305 = -1061 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34*(2 - (-3)\/(-2 + -1)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g**2 - 1 - 47*g + 3*g**3 + 36*g - 5*g**3. Let d be a(6). Let j = d + 107. Solve -9*o + j*o - 25 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29877763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.048 - 5.31. Is v less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113\/((-82490)\/29127) - 2\/20?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/16)\/(52\/208)*(8 + -4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 532366680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -60*z**2 - 55*z**2 + 0*z**2 - 147*z**2. Let t(y) = 3*y**2. Calculate o(t(h)).\nAnswer: -2358*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-16))\/((-12)\/(-16))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a week?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 22*j + 1. Let s be i(2). Let h be (-5)\/(s\/66)*-3. Let t = h - 1. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*i. Which is the third biggest value? (a) 5 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -321*n**2 + 6*n + 36. Let c be j(-3). Is c\/(-4) + -6*25\/(-120) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1690 - 26934?\nAnswer: -28624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36015 + -100?\nAnswer: 35615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 535, 0 in descending order.\nAnswer: 535, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 152097.04 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k = 1 - 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 6. Let n(d) = -d**3 + d**2 - d - 5. Let r be n(0). Let g(a) = 3*a - 11. Let q(p) = r*x(p) - 3*g(p). Calculate q(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/9, 0.121, 10.471?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*l - 97*l + 1 + 161*l + 147*l.\nAnswer: 644*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -106900000 rounded to the nearest 1000000?\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 28. Let j be (5\/2 - 4\/(-8))*1. Solve j*z + 0 = -5*o - k, -4*o - z = 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2494997 hours to microseconds.\nAnswer: 898198920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2039082.\nAnswer: 2, 3, 17, 19991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**9\/5040 - b**6\/80 - b**4\/12 - 3*b. Let r(m) be the third derivative of q(m). What is the second derivative of r(p) wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {f: 1, h: 2, g: 1, x: 2, u: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-5 + (-4 - (-7 + 16))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 187?\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d - 63*d + 174*d - 8*d.\nAnswer: 99*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -18 - o**3 - 4*o + 100*o**2 - 82*o**2 - 2. Let z be j(12). Suppose -208 = -n - 4*f - 35, -3*f - z = -5*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 10*x - 7 + x in the form z + b*x and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - f**2 - 3. Let m(p) = -2*p**2 + 38*p + 39. Let y be m(20). Let z(l) = 7*l**3 - l**2 - 10*l + 28. Let w(v) = y*z(v) - 6*x(v). Give w(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*r - 26 = -r, -3*w + 2*r + 8 = 0. Solve y = -w + 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-27 - (-38 - -22)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, 2, 1\/27, -0.065, -1, 1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1 - 927*d + 462*d + 463*d. What is g(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3 - ((-133)\/84)\/19.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 36*q**3 - 3*q + 1. Let v be t(2). Let w = v + -104. Suppose 29 = -5*m + w. Calculate the greatest common factor of 45 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - b. Let r(q) = q**2. Let n be r(-2). Suppose 4*g + b*g + n*f = -12, -5*g = f + 23. Sort g, 4, -1 in descending order.\nAnswer: 4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 1:08 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2254 times -0.03?\nAnswer: -67.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 16*l - 2. Determine i(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -19. What is the derivative of k - p - 4*k + 3*k + 8*k**3 wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 2 + k**2 - 2*k - 3*k**4 + 0*k**4 + 22*k**3 - 20*k**3 as s*k**2 + y*k**3 + j + l*k**4 + m*k and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) - (-31)\/4. Suppose 5*a = 6*a + g. Let s(n) = -n**3 - 7*n**2 + 7*n - 3. Let j be s(a). Calculate the greatest common divisor of 25 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2114 is divided by 262.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 15*h**2 + 105*h - 4. Let p(z) = -14*z**2 - 140*z + 5. Let f(d) = -4*l(d) - 3*p(d). Let v(x) = 3*x**2. What is f(v(o))?\nAnswer: -162*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -0.4, -7.\nAnswer: -7, -0.4, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 5) + (17 + -25 - (-6 + 0)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -448 + 340.5. Let r = y - 23.5. Let k = 130.9786 + r. What is k rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 1\/28*v**5 + 0*v**3 - 1\/98*v**7 - 45*v**2 + 0*v - 1\/784*v**8 + 3\/28*v**4 + 0 - 1\/56*v**6. Find d, given that b(d) = 0.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-69 - (-242 - -103)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 10:15 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 64*x - 140. Solve -6 + 11 = -x*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25847 - 25759. Solve 87*k + 6 = j*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*l - 1617 = -337*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 4:49 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3*m = 2, 2*m = -13*z + 9*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106010 is divided by 122?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r**4\/4 - 191*r**3\/4 + 393*r**2\/4 - 249*r\/4 + 19\/2 = 0 for r.\nAnswer: 2\/9, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o**3 - 6*o**2 - o + 6. Let n(a) = a**3 - 1. Let t(s) = -6*n(s) - x(s). Calculate t(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b - 86?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*d - 6. Let j be d + 2 - 1 - -4. Suppose 0 = -j*z + 5*z - 105. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y - 145 = -36*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**5\/2 - 3*k**2 + 4*k + 10. Let f(u) be the first derivative of y(u). Differentiate f(b) wrt b.\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14, -2, 4, -3\/5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 24*a - 1932 = 0. What are the prime factors of a?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5674*b + 261644 - 108446 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 8*a - 2*a = 45, -5*a - 383 + 370 = 2*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5141 divided by -52?\nAnswer: -5141\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**7*v)\/v**(4\/7)*v**(-3)\/(v\/(v\/v**(-6)*v)*v))**(-7\/4))**(-1\/20) assuming v is positive.\nAnswer: v**(73\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2. Let h(n) be the third derivative of -n**6\/180 - n**4\/24 - 2*n**2. Let i(j) be the second derivative of h(j). Give w(i(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32196 = -17*p - 7886 + 151708. What is the thousands digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24619 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58840*c**2*p**2 - 276*c**2*q + 12*c*p**2*q - c*p*q wrt q?\nAnswer: -276*c**2 + 12*c*p**2 - c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 7*u**5\/60 - u**2 + u. Let z(i) be the first derivative of v(i). Let o(q) = q**2. Give o(z(d)).\nAnswer: 49*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (93 - 101 + 60)*((3 - 2 + 0)*(t**2 - 4*t**2 + t**2) + 3*t**2 - 3*t**2 - 2*t**2 - 27*t + 8*t**2 + 27*t) to the form y*t**2 + s*t + j and give y.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 = -3*i - j, -8 = 4*i + 4*j. Suppose -2*b + 0*b + 6 = i. Let g(c) = 0 - 2 + 4 - c + 4*c - c**2 - 3. What is g(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3105, -10621, -22551, -38895, -59653?\n\"Answer: -2207*z**2 - 895*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m + 311*m = 1353 + 1087 - 20640 for m.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 9*b**2 - 7*b + 2. Give o(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((2*-1)\/(6\/(-36)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2422.88011 + -2425.36010809. Let l = m - -2.48. What is l rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 23*o + 3, 24*w + 8*o = 17*w + 11*w + 108 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n = 68 - 124. Solve d = j + 5, -4*d + 9 = -n*j - 3*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2\/7, -367, 3\/5, -1.9, -142?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 141 in ascending order.\nAnswer: -4, -2, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjejjjjjjjjjjjj. Give prob of picking 1 j and 1 e.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(637)*-1.\nAnswer: -14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*t = -805, 8*p - 4*p - 4*t = -644. Let n = 165 + p. Solve -n*z - 17 = 5*i - 2*i, -3*z + 4*i - 19 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 3\/20*j**5 - 1\/24*j**4 + 0*j + 1\/6*j**3 + 0 - 5*j**2. Determine i(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/4 and 101\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 2\/93, -5.81, 1\/5, 9?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {j: 1, p: 2, o: 5, d: 2, r: 8}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*k + q - 122, -178 = -3*k + 2*q. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 13444*f + 860378. Determine p(-64).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/147*(-2)\/12*3.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 371, -7, 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48444.53 years in decades?\nAnswer: 4844.453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 17 = 2*x, 3*c = -5*x + 40 - 30 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*t - 10 = 5*f - 44*t, -t + 9 = -5*f - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -20, -3*t + 1 = -2*l - 10. Suppose 5 = 3*h - t. Let r(p) = p**3 + 4*p**2 + 4. Let m be r(-4). Solve s + 31 = -h*s - m*v, -5*s - 2*v = 33 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010110001212 (base 3) to base 5\nAnswer: 411142140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 131 + 311 = -15*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 76*j**2 + 2949*j + 5587. Determine t(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.49965 - -0.48965. Let m = -3 + 2. Let k = m + 3. Which is the second biggest value? (a) 1\/4 (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - w. Suppose 4*q = 5*f + 15, 2*f - q = -3*q - 6. Let y(z) = 3*z**3 - z - 2*z**3 + 0*z**3. Calculate f*x(o) + 3*y(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 26 = -f. Let w = -19 - -24. What is the remainder when f is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27577.0110216 + 27577. Let p = s - -235.1180216. Let n = -235 + p. What is n rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + 76. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 15. Let n = f + -5. Let u(w) = -2*w - 4 + 2 + n. Let p(m) = -8*m**2. Give p(u(g)).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuukukuk. What is prob of sequence kku?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 47*v**2 - 704*v - 7. What is t(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwmwwmwwwwmmmww. What is prob of sequence mww?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 1\/6*f**3 + 0 + 0*f**2 - 21*f - 29\/12*f**4. Find the second derivative of h(w) wrt w.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -53, -70, -91, -116, -145, -178?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-1)\/(-14) - 203397\/(-22869). Let w = b - 64\/121. Calculate the common denominator of 26\/9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/4 + 4\/16 - -58. Let c = f + -56. Let a = 78\/7 - 2347\/210. Is c < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**2\/2 + 3*c - 1. Let s be h(4). Let q be (3\/(-6))\/((-1)\/8). Solve -q*o - 4*n = -12, -5*n = -o - 4*n + s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 9\/28 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9032*h = 9009*h - 17995*h + 1748 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -23. Suppose -z = -0*l + 3*l. Put -5, l, 1 in decreasing order.\nAnswer: 1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -14*h + 4. Suppose -2*a + 109 - 99 = 0. Let w(l) = 3*l + a*l + l - 10*l. What is w(n(r))?\nAnswer: 14*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/4352 and -69\/9376.\nAnswer: 1275136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 366*m**2 - 10237*m - 102. Give p(28).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*(sqrt(684)*-1 + sqrt(684) + sqrt(684)) + sqrt(684))**2 - (-2*sqrt(1539)*3 + (0 + sqrt(1539))*5)**2.\nAnswer: -12483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 10:00 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -15, 43 = 5*s + r + 5. Suppose -2226 = -153*q - 237. Solve s = -3*j + q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 6*t + 48 = 0. Suppose 8 = 2*p, -2*y = -t*p - 15 - 37. What is the highest common divisor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*h + 0 + (0*h - 6*h - 7*h)*(0 + 1 + 2 + (-3 - 1 + 2)*(0 - 5 + 2)) - 3 - 15*h + 3.\nAnswer: -130*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -185.5 + 186. Let u = -3.06 + 0.06. Sort 0.9, s, u in decreasing order.\nAnswer: 0.9, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63.80000465 - 63.8. Round v to seven decimal places.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3*j**3 + 0 + (2*j - 2*j + j**2)*(-4 + 4 + 2*j) + (-j - 3 + 3)*(40 + 28*j**2 - 40).\nAnswer: -23*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y. Let n(u) = -110 - 2*u + 110. Determine i(n(l)).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294155 is divided by 3343.\nAnswer: 3314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 2. Let d be m(-7). Let j be (72\/200)\/((-21)\/35)*-5. Sort -3, d, j.\nAnswer: d, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468338 divided by -1?\nAnswer: -1468338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 6:49 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i - 24. Let j be y(11). Let m = 113 + j. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bglw when four letters picked without replacement from {b: 7, g: 5, l: 1, w: 5}.\nAnswer: 35\/14688","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 33*q**2 - 178*q - 7. Let j be v(26). Is 100 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 + 2*s**3 - 3*s**3 + (-2*s**3 - 1 + 1)*(0 + 4 - 5) - 25*s - 34*s**3 + 25*s to z*s**3 + b*s + j + q*s**2 and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1303, 966, 63, -1688, -4569?\n\"Answer: -47*i**3 - i**2 - 5*i + 1356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1382120564134 - 1382120563492.000000731. Let x = l - 642. What is x rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**0\/s))**30\/(s**5\/s**(-2)) assuming s is positive.\nAnswer: s**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**5\/15 - 2*m**2. Let d(f) = 6*f - 3*f**2 - 2*f - 4*f. Calculate d(s(p)).\nAnswer: -48*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*(sqrt(275) + sqrt(275) + sqrt(275) + 1 - sqrt(275)) + (1 + sqrt(275))*6))**2 + (sqrt(275)*-3*4 - (sqrt(275)*-1)**2*-3).\nAnswer: 17220*sqrt(11) + 635721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 + (-78)\/(-18). Suppose 4*d + 432 = l*s, -400 = -4*s + 2*d - 6*d. Calculate the remainder when s is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(210\/71) - ((-12)\/(-15))\/(-1). Which is the biggest value? (a) f (b) 3 (c) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1614 + 1618. Solve 0 = 5*s - q - 16, -50*q + 52*q = p*s - 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7949371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q. Suppose k = 5*a + 1, 1 = 5*a - 8*a + k. Let y(p) be the third derivative of 1\/4*p**4 + 0 + 0*p**3 + 2*p**2 + a*p. What is m(y(r))?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*r - 10 = 108*r. What is the remainder when 29\/(116\/(-24)) - 596\/r is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -207.\nAnswer: 5\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 19*f**2 + 60*f + 11. Let o be z(-15). Suppose 3453 = -o*c + 10526. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 695 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.12, 0.5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/856 and 93\/88810?\nAnswer: 355240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 12:32 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) 5\/31 (c) 3 (d) 7 (e) 0.0887 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(68))\/sqrt(4) - sqrt(17)) + sqrt(17) + (2*sqrt(153))**2 + -2.\nAnswer: sqrt(17) + 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -31 + 13 - 0\/(-2). Let r be (-3)\/g - (-1100)\/24. Suppose 2*t + a + 3*a = 102, a = -t + r. What is the least common multiple of 2 and t?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*14*855\/(-1197). Sort 2, 1, -1, f in increasing order.\nAnswer: -1, 1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1399.2 - -1396.19975. Let g = 0.9 + -3.9. Let u = g - f. What is u rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 12\/1738291?\nAnswer: 12\/1738291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 904, 4216, 9940, 18076, 28624, 41584, 56956?\n\"Answer: 1206*d**2 - 306*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from affafafafw. Give prob of picking 1 f, 2 a, and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {j: 1, x: 1, c: 2, n: 1, o: 1, r: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1219, 2452, 3687, 4924, 6163?\n\"Answer: f**2 + 1230*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/121)\/(((-27)\/6)\/(-3))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -7. Let u(y) = -y**3 + y + 1. Let t be u(z). Which is smaller: -2\/15 or t?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 11*n**5\/5 + 11*n**2\/2 - 8. What is the second derivative of v(x) wrt x?\nAnswer: 132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2700 + 51 - 2751 - 3*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.052 - 7241607407.\nAnswer: -7241607406.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 8*h - 6. Let u be 113\/7 + 5\/(-35). Suppose 9*c = 2 + u. Let s be (5 + -2 - -1) + 4\/c. What is d(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3 - 15 = 0, 4*n + 6297 = 5*d. What is the remainder when d is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 2*x + 18, -2*g - 6 = 2*x - 0*x. Let f be (-3)\/7 - 657\/(-63). Let o be (f - 11)*(-42)\/(-10). Is o not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -370 divided by -37\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2. Let n(t) be the second derivative of -1\/6*t**3 - 2*t + 0 + 0*t**2. Determine b(n(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*i - 5*v - 12 = -552*i, i = 2*v + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 - 11*k**3 + k**3.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*a*l**3 - a*l**2 + 325*a*l - 16339*a + 2758*l**3 + 16*l**2 - l - 2 wrt l.\nAnswer: -78*a*l - 2*a + 16548*l + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j - 11. Let h(z) = -223*z + 42. Give f(h(s)).\nAnswer: -669*s + 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.07. Let i = 0.069 - o. Let l = i + -4.039. Which is the nearest to -1? (a) -1\/9 (b) 1\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*b**3 - 54*b**3 - 52*b**3 - 67*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 39 - 35 - 4*n)*(-5 + 2 + 1).\nAnswer: 8*n + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 28. Calculate the highest common divisor of 125 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:04 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = s - 23. Suppose 0*n + 4\/3*n**3 - 1\/3*n**4 - 4\/3*n**5 + 0 + 1\/3*n**s = 0. Calculate n.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3746*b - 153439. What is q(41)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.1, -4\/1441, 3\/8?\nAnswer: -4\/1441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24766, 24784, 24788, 24772, 24730, 24656, 24544?\n\"Answer: -g**3 - g**2 + 28*g + 24740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 24*g**2 - 10*g - 22. Let x be d(24). Let j = -152 - x. What is the smallest common multiple of 15 and j\/6 + 3\/(-9)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -158*c**2*j**3 - 6*c**2*j**2 + 6*c**2*j - 209*c*j - 8*j**6 + 6*j**4 - 2*j wrt j?\nAnswer: -948*c**2 - 960*j**3 + 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -0.468.\nAnswer: 2.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4315*r - 64016 - 42104 - 40590 = 0 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n - 2*n - 5 - n**2 + 0. Let i be k(-5). Suppose -b + 2*x + 1 = -i*b, 0 = -3*b + 5*x + 6. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -15. Let r(a) = -2*a - 3*a + 4*a + z. What is r(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17408127 by 1.\nAnswer: -17408127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 8. Suppose 3*f = 15, 0*o + 3*o + 17 = -2*f. Let w be h(o). Find the common denominator of 46\/3 and (-2)\/2 + (w - (-258)\/63).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -74*l - 50. Let k(z) = -50*z - 33. Let q(t) = -7*k(t) + 5*s(t). What is the tens digit of q(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447733 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4\/3 - 398150*z**3\/3 + 19816821284*z**2\/3 - 46234073848*z + 66046781040 = 0. What is z?\nAnswer: 2, 5, 99534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + -9 + 4 + (8 - -9).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3229915*a**3 - 11379999 wrt a.\nAnswer: -9689745*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24522 and 2251602?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence leyn when four letters picked without replacement from eexlysn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9075654 + 24146.\nAnswer: 9099800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 57214, 57000, 56784, 56566, 56346?\n\"Answer: -x**2 - 211*x + 57426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13366 - 7757. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(-3*(0 + sqrt(1377)) - (sqrt(1377) + 1 + -5))*3)**2*6.\nAnswer: -159408*sqrt(17) + 10717638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -34*g - 426. Calculate v(-14).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -19*c**2 - 3*c + 1. Calculate s(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10830, 21649, 32450, 43233, 53998?\n\"Answer: -9*v**2 + 10846*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 51 - -65 - 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -9.342?\nAnswer: 65.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187863 is divided by 62619.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -149, -297, -445, -593, -741, -889?\n\"Answer: -148*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/r**4)\/r))\/(r*r*r**(1\/5)*r))**13 assuming r is positive.\nAnswer: r**(117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -14*u + 5. Let r(w) = w - 5. Suppose -2*g = -2*n + 3*g - 15, 5*n - 20 = g. Suppose 0 = -p - 2 + n. Let l(t) = -2*t + 9. What is p*l(q) + u*r(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = j + 58. Let s be -4*2\/(-4) - (-403)\/j. Which is smaller: -3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 z when four letters picked without replacement from {t: 4, z: 3, w: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18303.23 kilograms to tonnes.\nAnswer: 18.30323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*j**3 - 6*j**2 + 6*j**2)*((-1 + 2*j + 1)*(j - 3*j + 0*j) + 0*j + 0*j - 3*j**2).\nAnswer: 238*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 3*k - 26, 2*f - 7*f = k - 23. Suppose -v + 2*v = -4*y + 5, -y + v + f = 0. Solve 0 = -0*n + y*n - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2075 + -2076. Which is the fourth smallest value? (a) x (b) 0 (c) 142 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*k - k + 21, -23 = -3*u + 4*k. Suppose 2*h = u*h - 978. Suppose 2*v - h = 104. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 7\/22 (b) 2\/3 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -7*y**2 - 5*y + 47. Suppose -o + 0*v + 26 = v, 84 = 3*o + 5*v. Calculate the least common multiple of g(-1) and o.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*h**3*p**3*w - h**3*p**2 - h**3 - h**2*p - h*p**3 - 7*h*p*w + 7*p*w wrt p.\nAnswer: -96*h**3*p*w - 2*h**3 - 6*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/24*(-17)\/(561\/(-88))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.42 + 0.02. Let v = x + 1.4. Let y be ((-79)\/11 - -7) + (-40)\/(-99). Put v, y, 0.04 in increasing order.\nAnswer: 0.04, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmtmmnmmmmom. Give prob of picking 1 n and 1 o.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2) + -1 + (-10 - -5) + -13 + 17?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**4 - 85*n**3 - 300*n**2 = 0.\nAnswer: -12, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((50\/(-570))\/((-45)\/54))\/((-6)\/(-3))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 204 - 456. Round d to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*-2*(sqrt(432) + 2).\nAnswer: 8 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10765 by 2924.\nAnswer: 10765\/2924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 11*c - 176 = 17*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - -4 - 8) + -6 - 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9905605343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(448) - sqrt(448)*-2) + 4)**2*-5.\nAnswer: -21955 - 1000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millisecond in microseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -163\/563?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m - 1 - 1 + 20*m + 6*m.\nAnswer: 40*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 5*s - 295, -4*h = -2*h + 3*s - 297. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 2*u + 5, 127*j + 45 = 122*j - 4*u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 762 = 5*l + z, -2*l = 5*z + 285. Suppose 2*j - 60 = -5*m, -2*j - 52 = -3*m - 0*j. Let t = m - l. What are the prime factors of t?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3335127 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217 and 760616.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*f - 25 = 14, f - 21 = 2*m. Let i(l) = 2*l - 1. Let o be i(-4). Is o at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2584689799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9051 and 4508691.\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -1 (b) 2\/3 (c) 1\/2 (d) 0.3 (e) 34.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 523*v**5 - 1192*v**4 + 2*v**3*z - 3*v**2*z + 74*v**2 + 3*z + 1 wrt v.\nAnswer: 31380*v**2 - 28608*v + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21064077 to the nearest integer?\nAnswer: 4590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (53\/424)\/(1\/32). Let k(i) = -8*i + 1. Let q(j) = -17*j + 1. Let h(a) = 13*k(a) - 6*q(a). Let n(b) = 5*b - 15. Give y*n(w) + 9*h(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 1\/4, 0.08, -0.6, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from {g: 1, z: 1, m: 1, r: 1, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -544 - -1567452?\nAnswer: 1566706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qioy when four letters picked without replacement from yyuqiyuiuyqouiuyy?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120263 divided by 17201.\nAnswer: -120263\/17201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -3*k**2\/2 + 10. Let t(a) = 116*a - 59*a - 59*a. Give r(t(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**2 - 6*v - 6. Let m be z(-2). Let u be -2*2*(-6)\/8. Let i = u - m. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30770770 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 57. Let l(n) be the third derivative of 0 + 0*n - 1\/24*n**p + 4*n**2 + 1\/3*n**3. Calculate l(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4 = -q + 2*t, 0 = -4*t - 12. Let v(j) = j**3 + 4*j**2 - 4. Let d be v(-3). Let r = -10 + d. Sort r, q, 4 in descending order.\nAnswer: 4, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-465*(-20)\/50)\/(105\/35)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -1. Let a be 4 - -1*(u + -3). What is the second derivative of 4*j - a*j**3 + 134 - 4*j**3 - 134 wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1\/15*-12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 4:54 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27256949*c - 27256742*c + 54513693*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*u - 101377 + 101637 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.58 * -10.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1816, 2\/9, -2, 1 in ascending order.\nAnswer: -2, 2\/9, 1, 3, 1816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 125*h + 5\/3*h**3 + 25*h**2 - 20. Factor w(n).\nAnswer: 5*(n + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 9)*(1 + 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 - 1142\/11. Suppose 2*l = -3*m - 84, m + 15 = -2*l - 9. Let i be (-5)\/m - 10\/(-12). Which is the third smallest value? (a) s (b) -2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 10*u - 2*u)*(0 - 3 - 3) + (-4*u + 2*u - 24*u)*(-4 + 0 + 3).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 + 4*y + 4. Suppose 5*q = 3*h + 35, -11*q + 6*q = h - 15. Determine l(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7355.752 millennia to years.\nAnswer: 7355752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**0*h)\/h*h\/h**(6\/5)*h)\/(((h**(1\/19)*h)\/h)\/(h**(-13)*h*h)))**(-9\/4) assuming h is positive.\nAnswer: h**(4383\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 157396 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2132 and 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*o = -211*o - 1144 for o.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.013498929*-0.2\nAnswer: 0.0026997858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -264 - -269. Let m = -0.06 - -0.36. Which is the third biggest value? (a) 0.17 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (1 - (4 + 1)) + (-4 + -7 - -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, u: 2, d: 1, q: 1, t: 2, m: 5}. Give prob of picking 1 d, 1 q, 1 m, and 1 u.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o - 6 = 0. Suppose 23*r - 22*r = 4. Calculate the greatest common factor of o and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -2*f - 2*u, 4*f = -2*u + 22. Let t(j) = j**2 - 6*j - 7. Determine t(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = -11*j - 3652. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 12:20 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23272 - -155763. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 99 or 98?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 19\/4 of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c - 2. Suppose 22*y - 44 = 24*y. Let d = -170 + 194. Let q = d + y. What is p(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/60164 and -63\/76.\nAnswer: 1143116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 238*i**2 + 2154*i + 113. Give p(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 337 and 519022.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (18\/15)\/((-14)\/(-35))*3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*u + 17 - 295*u - 24 + 10.\nAnswer: -644*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2432374 rounded to 3 dps?\nAnswer: 0.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**2 - a + 4. Give y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/7 + 2274*s\/7 - 430923\/7.\nAnswer: -3*(s - 379)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 - 66. What is the least common multiple of 11 - (0 + -1 - -2) and w?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (86 + -218 + 2 + 39).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.26 + -1.04. What is f rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3031 + 15059\/5. Let t = -19 - x. Which is bigger: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:23 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 2:12 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6026 and 30958.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -62620 rounded to the nearest one thousand?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -279*b + 33. Let c(t) = -543*t + 62. Calculate -4*c(d) + 7*n(d).\nAnswer: 219*d - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 16*f - 13. Let v(s) = -8*s + 7. Let d(w) = -13*v(w) - 6*z(w). Let x(u) = -2*u + 3. What is -2*d(i) - 9*x(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*w - 23, -4*w + 7*m = 6*m - 18. Solve 0 = w*v + 10 - 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/148 or -1?\nAnswer: 3\/148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1546287*g**2*r + 13933619*g**2 + 2*g*r wrt r.\nAnswer: -1546287*g**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxtxxxxt. Give prob of picking 2 x and 2 t.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -10 + 11 - 11*n + 9*n. Determine b(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 816867339 to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 7 - -4 - (-2 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -206\/8857 or 0?\nAnswer: -206\/8857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(63*424\/2385)?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001101 + -111?\nAnswer: 11000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*b + 6315 + 6265 = 438*b + 210*b for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 33*t**2 + 27*t + 167. Determine j(32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2. Let h = 0 + -2. Let i be ((-1)\/h)\/((-1)\/(-4)). Let x(a) = 0*a**2 + 3*a**i - 1 + 1. Determine x(c(m)).\nAnswer: 27*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 11*r - 6. Let p be t(-10). Solve 4*i + 10 = -a - 1, p*a - 5*i + 2 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28221245 to the nearest integer?\nAnswer: 5312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqz when three letters picked without replacement from {l: 1, y: 10, z: 2, q: 4}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 339306 divided by -159?\nAnswer: -2134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 5*s**3 + s**2\/2 + 5*s - 5. Calculate c(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -15*m - 6. Let c be o(-7). Let j = -43 + 3. Let l = c - j. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*u = 88*u - 1212. List the prime factors of u.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3492225*h**3 + 9*h**2 - 870*h + 6 wrt h.\nAnswer: 20953350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*v + 2 + 2, 8 = -4*v - 4*f. Let s be (v + -542)*660\/(-112). Let y = s - 3190. What is the common denominator of y and 1\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.293452 grams in kilograms?\nAnswer: 0.004293452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 589 + 888 + i**2 + 721.\nAnswer: i**2 - 2*i + 1020","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18368221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) 0.3 (c) 21 (d) 1\/6 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11692462, -23384925, -35077388?\n\"Answer: -11692463*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11, -11, -2 in descending order.\nAnswer: 11, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w - 7 = -4*u, -4*w - 9 = 3*u. What are the prime factors of 56*u + (-24)\/(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4360697.1us in days?\nAnswer: 0.00005047103125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63775?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8371864 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a week in hours?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssn when three letters picked without replacement from nssssnwwrdnswnsdssrn?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 18 = -3*h, -h - 13 = -4*r + 1. What is the closest to 1 in -1\/5, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 11. Let d be q(-5). Let j be (-4)\/d*(-36)\/8. Suppose 4 = x + x. Solve 0 = -j*g - h + 1, x*g - 4*g - 1 = h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190038?\nAnswer: 2, 3, 19, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**4 - q**2 - 6 + 1 + 3 + 0*q**4 - 7*q**4 - 4*q to the form s*q**2 + z + v*q**4 + d*q + t*q**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2 + 3337*h - 12328764 = 0.\nAnswer: -5556, 2219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2503\/2786 + -6\/199. What is the common denominator of (4\/14)\/(35100\/5838 - 6) and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwfwfrfrkwrrkwrwrk. Give prob of picking 2 r and 2 w.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 64791, 129178, 193579, 258000, 322447, 386926, 451443, 516004?\n\"Answer: n**3 + n**2 + 64377*n + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.3, 0.7, 2, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 29*j**2 - 53*j - 25. Let v be k(27). Sort -2, 4, v, 17 in increasing order.\nAnswer: -2, v, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*14.6\nAnswer: 13.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7635448 divided by 2441?\nAnswer: 3128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*f - 44 = -0*f, 2*f + 88 = 4*d. Let l be d\/99 - 266\/(-18). Calculate the highest common factor of 120 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3)\/(-2) - 0\/(-12 - -18 - 4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 18. Find the common denominator of (-106)\/16 - f\/(-10) and 7\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103*f + 36*f + 87*f)*(-4 + 1 + 1).\nAnswer: -452*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3955 and 131080.\nAnswer: 917560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1272 and 109749?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2. Let b(r) be the first derivative of 1\/3*r**3 + 4*r - 100 + 0*r**2. Give l(b(u)).\nAnswer: u**4 + 8*u**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 72. Let r = 51 + i. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 9289.\nAnswer: -10\/9289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a + 5*q - 16 = -34*a, -3*a + 17 = 4*q for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.3726134 centuries?\nAnswer: 0.03726134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z*(z\/(z\/(z*z**(-1\/2))))\/z))\/z)**(-22)*(z\/(z*z**(-2\/11)))\/z**(-6))**(-6\/5))**(-50) assuming z is positive.\nAnswer: z**(11340\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**4 - 632*j**3 + 45580*j**2 - 44944*j = 0.\nAnswer: -212, 0, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3827305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 177814459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 13 = 35. Suppose -18 = -0*u - u. Suppose -3*n + u = -4*v, -5*n = 2*v - 4 - 0. Solve n*o = l*o - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -737*p + 736*p = 6, -p - 24 = -6*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.92 + -6138.4.\nAnswer: -6131.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/2)\/x)**(-9)\/(x**(-1))**29 assuming x is positive.\nAnswer: x**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20864*b**2*l*q - 2*b**2*l - 2601*b**2 - 3470*l*q + 943 wrt q?\nAnswer: 20864*b**2*l - 3470*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 7:57 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201 - 1331042?\nAnswer: -1331243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.209284 to 2 decimal places.\nAnswer: 7.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37.100471 + 56.899623. Let t = -286 - -192. Let j = s + t. Round j to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(252) + 2)**2.\nAnswer: 84*sqrt(7) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, 57, 106, 161, 216, 265, 302, 321?\n\"Answer: -k**3 + 12*k**2 + 8*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226587 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3482 = -3*z + 4*s, z - 7*s = -3*s + 1158. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2. Let f(q) = 15. Let l(y) = -5*y + 59. Let u(d) = -18*f(d) + 4*l(d). Calculate w(u(a)).\nAnswer: 1200*a**2 + 4080*a + 3468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*y**3*z**3 + 4*y**2*z**3 + 30*y**2*z - 2*y**2 + y*z**3 + y*z**2 + 81*z**3 wrt y.\nAnswer: -18*y*z**3 + 8*z**3 + 60*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 21, 4, 0, 2\/3 in decreasing order.\nAnswer: 21, 4, 2\/3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d. Let y(n) = -20*n**2 + 81*n. What is y(l(x))?\nAnswer: -320*x**2 + 324*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9287 - 1790. Let t = l + -5270. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from zddddddhr?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1822587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 127361 (base 8) to base 4\nAnswer: 22323301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -237*a - 235*a + 502 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + b + 300 = 0, -x - 306 = -3*x + 4*b. Let y = x - 129. What is the remainder when y is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*224\/(-168)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -14*j + 42. Suppose 2*p = h + j, -4*h = -3*p - 3*h + 2. Solve 0 = -5*m + 3*l + 5, p = 2*m - 5*l - 0 - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -109527 - a?\nAnswer: -109536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4002 - 4116.96. Let c = -117.927 - 0.073. Let h = c - n. What is h rounded to 1 dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 5*q + 20. Let c = -12 + q. Suppose -o = o - c. Sort -4, 2, o in descending order.\nAnswer: o, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 - 1551*a\/5 + 3082.\nAnswer: (a - 1541)*(a - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 5 + (16 - -30) + -36\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1033 + -53037?\nAnswer: -52004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4439542 + -323.847.\nAnswer: 4439218.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 + 0*o**4 + 769 - 3*o - o**3 - 771 - o**2 + 2*o**3 to i*o + t*o**3 + n*o**4 + c*o**2 + l and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/6*((-28)\/(-10) + 0). Let q be -3*c\/21*(-7 - 0). Let u(p) = p**2 - 9*p + 2. Determine u(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129017 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**14*r\/(r**(2\/11)*r))\/(r**13*r*r**(-11\/2)))**(-30) assuming r is positive.\nAnswer: r**(-1755\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -2 + (3 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 23*x**3\/6 - 138*x**2 + 312*x. Find the first derivative of t(b) wrt b.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69143535.3 rounded to the nearest one million?\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3379219 to the power of 1\/2, to the nearest integer?\nAnswer: 1838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -15. Suppose -d*t = 3*x - 15, -3*x - t + 0*t = -11. Let u be (-5)\/(-2) - 2\/(-4). Solve 2*b = -x - u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4135 is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 5*p**2 - 3*p + 5. Let r be i(-5). Suppose -3*t - 2*g = -r, -g = -4*t + t + 35. Let z(x) = -23*x + 11*x + t*x. Let c(m) = 6*m. Give c(z(y)).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36730949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 31*h + 126. Determine j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -85 + 4?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -5*z. Suppose -5 = -b - 4*b. Find the second derivative of -b - z*l + 0 - 3*l**5 + 1 wrt l.\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 353, 455, 625, 863, 1169?\n\"Answer: 34*a**2 + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110998771753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11334 or 11333?\nAnswer: 11333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddlt when four letters picked without replacement from mototdtzmtmmlld.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226752 divided by 64?\nAnswer: 19168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70908596 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80259 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -120220022212 (base 3) to base 8\nAnswer: -1143224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.003 + -0.397. What is the smallest value in 3, c, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 78004650.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**2 - 27*y**6 - 13*y**2 - y**2 - y**2 wrt y?\nAnswer: -3240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 725 and 3712?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24396 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 117\/(-7) - 6\/21. Let l(d) be the second derivative of -10*d**3\/3 + 17*d**2\/2 + 1239*d. Let y(r) = -7*r + 6. Determine s*y(q) + 6*l(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36999190.\nAnswer: 2, 5, 3699919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 156 - 2026\/13. What is the nearest to 1\/13 in 0.3, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1312111 + -431433?\nAnswer: -2244044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**3 - 15*s**2 - 11*s + 5. Let x(k) = -5*k**3 + 23*k**2 + 17*k - 8. Let b(p) = 8*c(p) + 5*x(p). Let l be (-22)\/18 - 3 - (-8)\/36. What is b(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 3. Let k(w) = 5*w - 10. Let b(n) = -2*n**3 - n**2 - 2*n - 1. Let a be b(-1). Suppose -g = -a*g - 2. Let f(j) = g*k(j) - 7*t(j). Give f(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 - 272*m - 249*m - 271*m - 234*m + 969*m)*(0*m**4 + 3*m**4 - m**4).\nAnswer: -114*m**5 - 88*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 8:49 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423859 is divided by 211911?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -3, -6, -1 in decreasing order.\nAnswer: 2, -1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321 - 7052*p + 63 - 961*p.\nAnswer: -8013*p - 258","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -9*c + 156. Suppose -5*b + 20 + c = -2*q, 0 = -5*b + 25. What is the remainder when 5 is divided by 2\/(-8)*q + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*f - 50 = -4*f, n - 5*f = 34. Let k be 56\/(-384) - ((-3)\/n + 0). Which is smaller: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -80*(-2)\/(-83) + 2. Let g = 563\/249 + d. Find the common denominator of -38\/11 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-12)*(-2 + 2). Solve p + 4*z - 1 = r, -2*p = -3*p + 4*z + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-4)\/6*6. Is x greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - r + 5. Let i be q(0). Let k be 2\/8 + 56\/32. Let h(y) = 2 - 3*y - 86*y**2 - y + 87*y**k. Determine h(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -19*c. Let g(t) = -30 + 6*t - 2*t + 30. Calculate q(g(w)).\nAnswer: -76*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 + 311. Calculate the highest common factor of 24 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**3 + 0*x**3 - 158100*x + 79045*x - 3*x**3 + 79055*x.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 911*s - 143308 = -2346*s for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, 168, 494, 1002, 1722, 2684, 3918?\n\"Answer: 5*v**3 + 46*v**2 + v - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 52 - 22. Calculate the remainder when 72 is divided by b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14668 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h + 7. Let s(y) = -y**3 - 5*y**2 + 6*y + 1. Is s(h) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (196\/(-12))\/(2\/(-264)*1). Suppose -8*o + o = -t. Calculate the greatest common divisor of o and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 159 - 24. Let o = -673\/5 + g. What is the third smallest value in -0.5, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 5:01 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7.002774 micrometers?\nAnswer: 0.000007002774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-1)*44\/8. Let f = -14 - s. Let k(t) = -t**3 - 4*t**2 - 2*t + 4. Let d be k(f). Put 0.2, d, -3 in decreasing order.\nAnswer: d, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.9493 and 41.328?\nAnswer: 44.2773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 8 + -19 - -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-1 + 4)*1329\/(-81). Let p = s + -98. Factor -2\/9 - p*u - 2\/9*u**2.\nAnswer: -2*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k + 573. Let b(w) be the third derivative of w**5\/60 - 13*w**2 + 27. Calculate f(b(g)).\nAnswer: -3*g**2 + 573","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*((-1800)\/15)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 11:47 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4329, 8660, 12991, 17322?\n\"Answer: 4331*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + h - 5. What is t(-4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 1 + 11. Let i = 3 + c. Let f(w) = 81*w**3 + 649*w**2 + 5*w - 26. Let h be f(-8). Sort h, i, -36, 0.\nAnswer: -36, i, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46.5 - -46.50000211. Round a to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2)\/(k\/(k**(2\/65)*k)))**(3\/31) assuming k is positive.\nAnswer: k**(207\/4030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = 21. Suppose -5*c = -8*o + 3469, c = -o + 669 - 224. Suppose -l*u + 21*u = -o. List the prime factors of u.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1.7, 7, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(924\/(-273)))\/(1\/2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/11 + 4\/22. Suppose 2*u - 14 = o*m, -3*m + 4 = -5*u + 11. Let j be -1*(-2)\/m*-4. Solve 5*g - 34 = 5*i + j*g, -i + 4*g = 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168634+757\nAnswer: 169391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -915*z - 301*z + 984*z**3 - 988*z**3.\nAnswer: -4*z**3 - 1216*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 7:16 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 697930484?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 289*l. Let y(s) be the second derivative of -s**4\/6 - 36*s - 34. What is y(d(o))?\nAnswer: -167042*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzq. Give prob of sequence zqz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n**3 - 371*n**2 + 136*n + 89. Determine h(46).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/177284 and 45\/2704.\nAnswer: 119843984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54832 - 54844.99822. Let t = 13 + h. Round t to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 39. Let z be d(0). Let i = 40 + z. Let y be (-2 + 0)\/(1 - (i - -1)). Solve -2*x - y = -6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -241, -420?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27269088 to the power of 1\/2, to the nearest integer?\nAnswer: 5222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28723435?\nAnswer: 5, 13, 23, 19213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 25 = 0, -3*b = -3*i + 4*i - 1. Let u be 207\/(-720) + 3\/5. Let m = -73\/80 + u. What is the nearest to 3 in m, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4 - 11.4. Let z = y + 10.1. Let w = 452 + -3170\/7. Sort z, w, -2 in decreasing order.\nAnswer: z, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 15 = 2*s - 3*k, s + 4*k - 5 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34664 by 2.\nAnswer: -17332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-7))\/((-2)\/(-14)). Let z be ((-2)\/(-12))\/(s\/9). Which is the nearest to 1? (a) -10 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + -0.9. Let n = 0.37 + -0.354. Let y = -2.984 - n. What is the nearest to -6 in u, 2\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h + 1. Suppose 13 = -3*j + 2*d, -2*j + 5 = 3*d + 18. Let o = 281 - 279. Let s(r) = 7*r + 3. Give j*l(i) + o*s(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10)\/(-2*(-1)\/(-5)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 486 divide 594859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -14.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45532855.\nAnswer: 5, 1549, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 218 - 144. Calculate the remainder when d is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -10804\/9, 64 in decreasing order.\nAnswer: 64, 1\/6, -10804\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v - 7 = -u - 37*v, -2*u + 14 = 4*v. Solve -3*r - 10 = 4*l, 5*l = 2*r - 31 + u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8037 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + -0.3. Suppose 5*f - 2*x = x - 21, 0 = 5*f - x + 17. Let y be 1*(f - (-4 + 2)). Which is the closest to 2\/7? (a) -0.2 (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 12:48 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by 2.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 14*d - 20. Is m(8) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3185981 to the power of 1\/2, to the nearest integer?\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, -1\/10, -31.97, 0.5 in descending order.\nAnswer: 6, 0.5, -1\/10, -3, -31.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2 = 2*g + 2*a, -8 = -2*a. Let b = -78.1 + 78. Let f = 0.1 - -0.4. What is the second biggest value in f, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4266 to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*212\/(-12)*-3. Let n = 81 + v. Suppose -t - 4 = -5*b - n, 3*t + 4 = -4*b. Is 2\/5 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h + h + h)*(4 - 4 - 1) - 3 + 3*h + 3 + h + h + h - 1 - h + 1)*(-h**3 - 3*h**2 + 3*h**2).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 13. Let a = -17\/35 - -1\/5. What is the biggest value in h, 3\/2, a?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-790)\/(-1106))\/((-50)\/(-56)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69269 + -49350. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76693829323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, e: 3, f: 1, g: 1, h: 5, c: 3}. Give prob of picking 2 h.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 778.2469 decades in centuries?\nAnswer: 77.82469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34637696 plus -305.4?\nAnswer: 34637390.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = 736 - 688 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15530*l + 15479*l = 816 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 4:49 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p. Let t(w) = -6*w - 1. Let g(u) = -4*t(u) - 5*v(u). Let a be g(-11). Suppose -a*h + 20*h = 95. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 2:08 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q - 3710. Let w(p) = p - 795. Let r(o) = -3*h(o) + 14*w(o). Let u(c) = 78*c**2 - 70. Determine r(u(n)).\nAnswer: 156*n**2 - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*p - 0*p - 13, 5 = 2*b + 3*p. Suppose -5*u + 3*h + 168 = 0, 2*u - 31*h = -28*h + 60. Calculate the highest common factor of b and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359.86754 rounded to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2806*n + 6435. Let y(l) = -701*l - 1610. Let k(p) = 3*g(p) + 11*y(p). Differentiate k(x) with respect to x.\nAnswer: 707","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -68 - 32. Let i be 60\/1*c\/(-50). Let b = 27 - i. Solve 7*r + j = 2*r - 8, -5*r - b*j = 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from {j: 4, v: 1, p: 3, u: 6}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4*(-2)\/4)\/2. Let r = d + 5. Suppose -295*u + 312*u - 170 = 0. Calculate the smallest common multiple of r and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q + 2. Let k be (2 - 4)\/(2 - 3). List the prime factors of s(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -27 + -1)*(-46 - -44). Calculate the greatest common divisor of 56 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3\/4 - 3139*p**2\/4 + 2619*p\/2 - 524 = 0.\nAnswer: -1048, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1191 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136320 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 350022242?\nAnswer: -350022242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - -42. Let t = r + -64.6. What is t rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(-6 + 1 + 4)*(0*a - a + 3*a) to n + s*a and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -5 (c) -6 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -6e?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r - 204 = 15*r. Solve 7*m - 3*m + r = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -43. Let h be (-4)\/(-7) - 34\/(-210). Let c = 1\/15 - h. Sort 3\/2, c, q, -1\/4 in ascending order.\nAnswer: q, c, -1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - -33 - (-5 - 13).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 5*q**5\/6 + q**4\/12 - q**3\/2 - q**2. Let w be l(3). Suppose 4*o = w - 125. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d**2 + 718*d + 2329. Determine z(147).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 2:55 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d + 9. Let c(r) = 8*r - 1. Let w(p) = -9*p + 2. Let y(q) = 6*c(q) + 5*w(q). Calculate -2*f(g) + 5*y(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 19*g**2. Let n(y) = 11*y. What is a(n(q))?\nAnswer: 2299*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 884.7661 decades in millennia?\nAnswer: 8.847661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -o - 25, -7*o + 2*b - 193 = -2*o. Let l = -13 - o. What is the greatest common factor of l and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 0 + (-51 - -53).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -0.6. Let z = 0.7 - x. Let n = z + -0.7. Round n to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1207061, 4828234, 10863523, 19312928, 30176449?\n\"Answer: 1207058*a**2 - a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43494 = 720*t - 1379*t for t.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in 0.5, -12\/41, 3, -0.3, -3\/95, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1744, -3659, -5574, -7489, -9404?\nAnswer: -11319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + o. Let w be y(0). Suppose w = 3*n - 2*n - 3, 0 = q + 3*n - 16. Solve 0 = q*u + 29 - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1048328282*j**2 + 295*j + 598669?\nAnswer: 2096656564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33422263 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or 74498\/3209?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {l: 5, x: 7}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9227087\/64 at least as big as 144172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17213912*c**3*r - c*r + 4*r - 1273858 wrt c.\nAnswer: -51641736*c**2*r - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10116 or 10124?\nAnswer: 10116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2065850*a*w**3*z**3 - 54*a*w**3*z**2 - 5*a*w**3 + 2*a*w*z + 2*a*z**2 + 25*a + 7*w**3*z**2 + 4*z**3 wrt z.\nAnswer: -12395100*a*w**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.101 - -0.641. Let s = w + 0.46. Let c = 0.398 - -0.002. What is the nearest to s in 14, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 453*t + t**2 + 313*t + 147*t as m*t**2 + x*t + f and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -531780 (base 13) to base 7\nAnswer: -22352253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4156 + -4153. Let y = 2.3 - 2. Put y, 0, 1\/6, n in descending order.\nAnswer: n, y, 1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -9 + -5 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.078364 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 12) in base 6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8f8043 - -3?\nAnswer: -8f8040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 133 = -385. Suppose 20*t = f*t - 2*q + 378, 0 = 3*t - q - 583. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 9*u**2 + 3*u - 11. Let k be r(8). Let z be (22\/(-6))\/(1\/(-3)). What is the greatest common divisor of k and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**5 - i**4 + 35*i**2 - 12311*i wrt i?\nAnswer: 60*i**3 - 12*i**2 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + -2 + (sqrt(252) - (sqrt(252) + 1)) - 2*-2*((-1 + sqrt(7))*1 + -4 + sqrt(21)\/sqrt(3)).\nAnswer: -18 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 38.\nAnswer: -11\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -3*z**5\/5 - 975*z**4\/2 - 1186. Factor b(u).\nAnswer: -3*u**3*(u + 650)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233397448 to the nearest integer?\nAnswer: 15277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1026, 4115, 9270, 16491, 25778, 37131, 50550?\nAnswer: 66035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w - 10*w + 3*w**3 - 1 + 6*w as a*w**3 + d*w + v*w**2 + p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - c**2 + 7*c + 2. Let i = 282 + -282. Let o be l(i). Solve -6 = 5*k - o*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 4 (c) 13 (d) -21 (e) -11 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.024, 6\/13, 0.45?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515*d + 2*d**2 - 520*d + 1035*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7144 - -28579\/4. Sort 4, f, 0.4, 5, 246 in decreasing order.\nAnswer: 246, 5, 4, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - 3. Let f be (w + -2)*(-4)\/(-8). Let c(g) = -2*g - 5. Give c(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -483, -710, -921, -1110, -1271?\nAnswer: -1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -534*g**3*u**2 + 517*g**3*u + g**2*u wrt u?\nAnswer: -1068*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -2806?\nAnswer: -2804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-28)\/60)*(-132)\/330.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -2*k**3\/3 - k**2\/2 + k + 628. Let f(x) = -4*x - 1. Determine 6*f(g) - 4*s(g).\nAnswer: -8*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.21 - 15.478.\nAnswer: -7.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 504191\/2 + -124787206\/495. Find the common denominator of -68\/9 and r.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -69140*l. Let a(v) = -11*v**2. Give a(g(n)).\nAnswer: -52583735600*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11545417*m + 42397315?\nAnswer: -11545417","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -g - 10. What are the prime factors of (-3 - (2 - 53))*(-4 + g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/2044 and -137\/12.\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 i, and 2 l when four letters picked without replacement from {l: 5, i: 4, u: 7}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(13))*-5 + 5.\nAnswer: -5*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231886 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54.96 - 54.66. Which is the biggest value? (a) h (b) 5 (c) -1250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*(-2 + 2 + -5) - (-144)\/3 is divided by (0 + -6)\/((-4)\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - ((-1057)\/(-265) - 1). Let d(m) = -m**2 - 62*m + 335. Let v be d(5). Which is greater: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 + -89. Suppose 10*u - 58 + 38 = p. Solve 0 = -2*i + i + 3, -u*i + 1 = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 59*t**2 - 257*t + 8217. What is n(61)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - j**2 + 3*j)*(-1512 - 1238 - 971) + (0 + 2*j + 0)*(0*j + 3*j - 4*j) - 7*j + 7*j - j**2 + (-j + 2*j + j)*(j + j - j).\nAnswer: 3720*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -156*a**2 - 9*a - 2. Let q(s) = s**2 + 5*s + 1. Give -o(v) - 2*q(v).\nAnswer: 154*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 c, and 1 e when four letters picked without replacement from {c: 2, e: 1, i: 1, f: 2, u: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 808000.8 decades in months?\nAnswer: 96960096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2616857 - -109\nAnswer: 108.7383143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*y + 64 - 64 to u*y + s and give u.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3096 - 3095 - 5*h + h.\nAnswer: -4*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3350 + -3355. Let o be (135\/(-18))\/((-2)\/4). Which is the second smallest value? (a) 5 (b) -3 (c) o (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -1555*x**3\/3 + 141*x**2\/2 + 2*x - 324. What is the derivative of m(z) wrt z?\nAnswer: -3110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 6. Let q be i(9). Suppose -42 = -q*t + 2*w, 2*t = -5*w + 2*w + 15. Calculate the remainder when 23 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.2, -35, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71 - 285.\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j. Let s = -8 + 15. Let a = s - 3. Let u(x) = -x - x - a + 4. Calculate k(u(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/8)\/(r\/(r**24\/r*r))*r**(-5)*(r**23*r)\/r*r assuming r is positive.\nAnswer: r**(341\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82957882.\nAnswer: 2, 7, 197, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 11*z**2 + 9*z + 8. Let d be c(-10). Let w be 20\/(-6)*(-27)\/d. Solve -2 = q - k - 0, q + w*k + 8 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*y + 142*y = 0. Which is the nearest to -3? (a) y (b) 5 (c) -1 (d) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/1120 and 65\/483728?\nAnswer: 4837280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w - 8. Let z be p(5). Let t = z + 38. Let s = 83\/9 + -9. Is t less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25933?\nAnswer: 25933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000139502 to 7 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5 - 3366*i**4 + 995682*i**3 - 28474524*i**2 - 14059365*i + 1160179650 = 0. What is i?\nAnswer: -6, 7, 31, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604610.\nAnswer: 2, 5, 103, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**7\/35 + t**6\/180 + t**5\/60 + t**4\/24 - 4*t**3\/3 + 6. Let s(y) be the third derivative of g(y). Is s(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4)*a\/(a\/a**(-6)))\/(a*a\/(a\/(a\/(a\/(a\/(a*a**1*a)))))*a)**(7\/6))\/((a*a*a**(-2\/7)*a)**(7\/3)\/(a**1)**(-16\/5)) assuming a is positive.\nAnswer: a**(-293\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-6\/5)*r)\/r*(r*r**(-6)*r)\/r)\/(r*r**(1\/4)*r**(-7\/2)) assuming r is positive.\nAnswer: r**(-11\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/(489\/2771*4\/6)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -346 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**4\/4 - 5*f**3\/3 + f**2\/2 - 10. Suppose -4*t = -7 + 27. Calculate g(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/4 and 1\/224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2633*x**2 - 1130*x**2 - 5147*x**2)*(4 - 4 + 2).\nAnswer: -17820*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-10)*f)\/f**(-7))**(7\/2)*((f\/f**2)\/f*f*f**7)\/(f**(1\/5)\/((f\/f**7*f)\/f)) assuming f is positive.\nAnswer: f**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from {k: 1, v: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132.27 - -135.27. Which is the fourth smallest value? (a) m (b) 0.3 (c) -0.1 (d) -0.16 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 39, 2, -232 in ascending order.\nAnswer: -232, -1, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33123011.\nAnswer: 3023, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -m - 9, -4*m - 2*d + 14 = -0*m. Let p = 1 - m. Let r(f) = -4*f**2 + 6*f - 8. Let i(u) = -u**2 + u. Let y(s) = 5*i(s) - r(s). What is y(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -551, -2126, -4647, -8036, -12215, -17106, -22631?\n\"Answer: 13*r**3 - 551*r**2 - 13*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -646814 less than 3317264.3?\nAnswer: 3964078.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 6*a - 2*a. Let n be 1\/((-7)\/a + (4 - 5)). Calculate the smallest common multiple of (((-27)\/n)\/3)\/3*-16 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 734 + 799 = 48*v + 25*v for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 36*a**3 + 2*a + 758. Let n(k) = k. Let d(x) = m(x) - 2*n(x). What is the derivative of d(j) wrt j?\nAnswer: 108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-35)))\/q*q*q*q\/((q\/(q*q**(-6)))\/q)*q)**(-26) assuming q is positive.\nAnswer: q**(-858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 + -0.02. Let c = a + -0.03. Let x = c + 0.0300025. What is x rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168898 is divided by 146062.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12175918?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t - 7*t + 2*t**5 - 5*t + (-4 + 0 + 3)*(-5*t**5 - 3*t**5 - 3*t**5).\nAnswer: 13*t**5 - 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 239749072.\nAnswer: 239749072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-378115)\/(-8225) + -49 + 3?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2569391640 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**4 + r**3 - r**2 - r. Let q(g) = -g**4 + g**3 - g**2 - g - 1. Let h(k) = 2*l(k) - 2*q(k). What is the derivative of h(y) wrt y?\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -223 + 218. Let o be 5 + -3 + (30\/4)\/w. Solve o*k**2 + 0*k + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s. Let f(h) = -2*h**2 + h + 1417. Give d(f(k)).\nAnswer: 6*k**2 - 3*k - 4251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(3) - (-2*sqrt(432) - sqrt(3))) - (-5*sqrt(72)\/sqrt(4))\/sqrt(9))*-2.\nAnswer: -131*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 4 + 4)*(-v**3 - v**3 + 4*v**3) + (-2*v + 2*v + 3*v**4)*(5 - 10 - 48).\nAnswer: -163*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -6\/89, -376\/5?\nAnswer: -6\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciccccciiiciiciciicc. Give prob of sequence ci.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b + 60. Let w = -8 - b. Suppose 0 = 4*t - 0*t - w. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5056 (base 8) to base 7.\nAnswer: 10412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -46*h. Let p(m) = -401677*m. Determine c(p(t)).\nAnswer: 18477142*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 i when three letters picked without replacement from {g: 6, i: 8, k: 1}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -14*c**2 + 35*c - 7. Let q(y) = 11*y**2 - 23*y + 5. Let r(b) = -5*h(b) - 7*q(b). Let l(a) = -2*a**2. Determine r(l(d)).\nAnswer: -28*d**4 + 28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -242*q**4 + 7*q**5 - 156*q**2 + 266*q**4 - 21*q**3 - 10*q**5 + 132*q + 240 = 0.\nAnswer: -2, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1890118795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*i - 11*i + 5 - 2)*(1 - 1 - 4) to y + n*i and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (54\/15)\/((-8)\/(-20)). Are 6 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (3 + -24)\/(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10021 - 10?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -12 (b) -3\/7 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 24*k**3 + 10*k**2 + 14*k. Let f(c) = 5*c**3 + 2*c**2 + 3*c. Let t = 4 - 18. Let i(z) = t*f(z) + 3*j(z). Find the third derivative of i(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3*o**2 + 4*k**3 + 1374773*k**2*o - 8*k*o**2 + 47*k*o - 3062*o - 1 wrt k.\nAnswer: -6*k*o**2 + 24*k + 2749546*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b - 10 + 10)*(4 - b - 4)*(-1 - 3 + 2)*(16 + 5 + 11).\nAnswer: 448*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*1 + 1)**2 - (sqrt(5)*3)**2*-6.\nAnswer: 2*sqrt(5) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 + (-7 - (-13 - -4)) + -2 + -12 + 2.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, m: 1, l: 1, r: 1, n: 1}. What is prob of picking 3 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 - -5.5. Let j = -1.3 - -0.3. Is p < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.55 + -4.55. Which is the closest to -1? (a) j (b) 2\/13 (c) 0.3 (d) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-10) - (-84)\/(-28).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3 - 5757*q**2 = 0.\nAnswer: 0, 1919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/((-148)\/(-666)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*l + 4 = 62*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*i**5 + 4115*i**4 + 33960*i**3 + 65700*i**2 + 28080*i = 0. What is i?\nAnswer: -156, -6, -2, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28839*i**3 - 4*i**2 + 84959?\nAnswer: 86517*i**2 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 4*n**2 + 2. Let u be w(2). Let x = 19 - u. Let m(z) = 5*z**3 + 2*z + 1. Let t be m(2). What is the greatest common divisor of x and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -3786019.5.\nAnswer: 3786020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0 - -18) + 16 + -31 + 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**3\/5 - 15268*t**2\/5 + 1177696*t\/5 - 22485968\/5 = 0.\nAnswer: -3893, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25691662.\nAnswer: 2, 12845831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 23820.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, u: 2, a: 1, j: 1, t: 2, g: 1}. What is prob of sequence tgn?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 6*s + o - 7, -4*s + 1 = -o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 65*g**2 - g - 14. Determine d(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/15*1\/(-5). Which is the smallest value? (a) -2 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12995*b**2 - 3490.\nAnswer: -25990*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f**4 + 654583*f**3 - 43962175.\nAnswer: 12*f**3 + 1963749*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1587*k*w**4 + 1942*k*w**2 + 3620*k - 31*w wrt w.\nAnswer: -19044*k*w**2 + 3884*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*v = 6*t + 4, -2*t - 12 = -4*v. Calculate the smallest common multiple of t and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(28152\/(-153))*(-80)\/26\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366 - 2*c**2 - 100 - 153 - 113.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 767 + -435. What is the remainder when z is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.5, 3\/7, 3, 6\/11, -3\/5 in decreasing order.\nAnswer: 3, 6\/11, 3\/7, -3\/5, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332016.\nAnswer: 2, 3, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 1 - 6 + 10*u**3.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 141615624 to the power of 1\/3, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 8:41 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854092 is divided by 725.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 10:49 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8623 + -8977.9. Let h = 355 + n. What is the nearest to h in -1\/3, 1, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -39 + (1 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**6 + 5*w**5 - 510*w**4 + 36771*w**2.\nAnswer: -240*w**3 + 300*w**2 - 12240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.62 and -3838.\nAnswer: -3839.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/6)\/(114\/(-171))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -617850322*s**6 + 552649220*s**2 wrt s?\nAnswer: -74142038640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 6. Let p = -81 - -82. Which is the second smallest value? (a) u (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 2)*(0 + 0 + 1) + 4 + 2 - 3)*(-12*s**3 + 2*s**3 + s**3).\nAnswer: -54*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x = 9*v - 4135, -930 = -2*v - 2*x. List the prime factors of v.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55422 - -100?\nAnswer: 55522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 + 14\/6. Suppose -2*x - 2 = -n*x - z, 0 = -3*z + 3. Let u be 44\/8 - 1\/2. Sort u, x, -1.\nAnswer: -1, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8477*n**2 - 1449*n**2 + 4044*n**2 - 7862*n**2 - 2309*n**2.\nAnswer: -16053*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 7:58 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39325 + 26497. Let j be 1 + y\/(-80) + -1. Let b = j - 160. Calculate the common denominator of -99\/2 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**2 + 13*f + 41307 - 4*f**2 - 41305 in the form c*f + r*f**2 + w and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -189 + 188.6. Let a = 3 - 2.8. Let q = g + a. Sort 4\/7, -1, q in ascending order.\nAnswer: -1, q, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 2*x**3 - 3*x**2\/2 - 5*x. Is v(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i = -12. Suppose 0 = i*j - 8*j + 116. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5877 - 2.5877. Which is the nearest to m? (a) -6 (b) 25 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 996.7?\nAnswer: 996.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383887.\nAnswer: 7, 173, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 25\/3. Which is the closest to -2? (a) n (b) 0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -4698\/313507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p + 26*p - 992 = -15*p + 54*p for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r**2 - r. Calculate a(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2259 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 12*f**2 + f + 16. Suppose -18*t + 11*t = -14. Suppose -5*z + 21 = -5*a + t*a, 42 = -3*a - 2*z. What is b(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1.3, -21846, 10 in increasing order.\nAnswer: -21846, 0.4, 1.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 72*u**3 + 7*u**2 + 5*u - 150. Let d(p) = -8*p**3 - p**2 - p + 1. Give 7*d(q) + m(q).\nAnswer: 16*q**3 - 2*q - 143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 8:40 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44.09 in 2, -1\/7, 5, 0.10697?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347 smaller than 1345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17 - 2\/2*-1. Suppose 4*c = 3*h - h + 14, -4*c + t = 2*h. Suppose 0 = -2*z + 2*r + r + 11, 32 = 2*z + c*r. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 287*u**3 + 22226*u**3 + 25.\nAnswer: 22513*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 60\/104923 and -121\/6916?\nAnswer: 7974148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91973.21 nanometers in meters?\nAnswer: 0.00009197321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-2) - (-23 + -1597). Suppose 16*g = 15*g + v. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -66\/5 in 1, 7, 5, -34, 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5624894 to the power of 1\/2, to the nearest integer?\nAnswer: 2372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-three fifths of a millennium?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 387 = 3*y, -2*h + 4*y + 210 = -0*h. What is the highest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282.38 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1021 - 642. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 - 7*t - 4. Give s(6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*k, a + a + 5*k = -14. Let x be (0*4\/(-8))\/2. Solve -5*n = -j - 2*j - 9, x = -2*n + a*j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.07651, 2\/3?\nAnswer: 0.07651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10381.08 - -1064655.08. Let f = -1054293.00018 + b. Let j = -19 - f. What is j rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49797 is divided by 495.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -40 (b) 0.7 (c) -1 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/d**(-1))))**(-25)*((d*d**(-1\/3))\/d*d)**(4\/33))\/((d\/d**5)\/d**(-1))**(-45) assuming d is positive.\nAnswer: d**(-18307\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4 + 28. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 29*r**7\/1680 - 7*r**6\/240 + 2*r**5\/15 + 33*r**2. Let m(k) be the third derivative of c(k). Is 50 a factor of m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49936 + -4?\nAnswer: -49940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18145 (base 10) to base 9\nAnswer: 26801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 9*b**2 + 10*b + 11. Let h be o(-8). What is the remainder when 47 - h\/((-10)\/4) is divided by ((-2)\/(-4))\/((-3)\/(-96))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + w + 1944. Calculate x(37).\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2011828.\nAnswer: 2, 7, 13, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*15\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: In base 15, what is -5 + 8139ed?\nAnswer: 8139e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g + 7*g + 1 + 1 - g**3. Is q(-2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 975 and 123.\nAnswer: 39975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3112503 = 3*a, 4*a = -4*v + a - 6224997. Let g be 16\/(1556247\/v - -1). Round g to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*u**4 - 169346*u**3 + 12048*u**2 + 27*u wrt u?\nAnswer: -144*u - 1016076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1017\/207 - 10 - 4\/(-46))\/(-1). Solve l*a - 30 = -2*j, -5*a = -0*a - 3*j - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27339\/260 + (-6)\/(-10). Suppose 5*p - 38 - 302 = -3*a, -5*a + 520 = -p. Let w = a - f. What is the third biggest value in w, -1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3903571ml to litres.\nAnswer: 0.0003903571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 11. Suppose -u*k + k + 10 = 0. What is the derivative of w - 4*w - k + 7*w + 5*w wrt w?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3 - (36 - 36).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522*k - 507*k = -105 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263 divided by -1378006.\nAnswer: -263\/1378006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1010001110111110 (base 2) to base 7\nAnswer: -233132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211102001 - -20110?\nAnswer: -1211011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 20*q**2 - 3*q - 2. Let m be w(-1). Suppose m = 6*u - 63. Let z(g) = 4*g**2 + 4*g - 4. What is the lowest common multiple of z(4) and u?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/(-12)*(0 + -104) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 77?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3\/6 - 5780*w**2\/3 - 58550*w.\nAnswer: 5*w*(w - 2342)*(w + 30)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/33)*v**(-4\/11)*v*v*v)\/(v**(5\/6)*v*(v*v\/v**18*v)\/v) assuming v is positive.\nAnswer: v**(371\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1326\/63*(-8 - -2). Let u = 126 + z. Which is the biggest value? (a) u (b) -3\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82077\/55 + 1493. Find the common denominator of -67\/88 and r.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 86, 195, 348, 545?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((0 + sqrt(11))*-1 + -4 + sqrt(11) + sqrt(77)\/sqrt(7)) + -3)*3 + -4)**2.\nAnswer: -150*sqrt(11) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 212*c**2 + 777*c + 11435. Calculate v(208).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/(-192)*-4*1\/(-111).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10201120221 (base 3) to base 14.\nAnswer: -1ca1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -86 + 5486?\nAnswer: 5400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 55\/(-22)*86\/10. Let w = 21 + p. Let u be ((-1)\/3)\/(13\/(-6)). Which is the nearest to w? (a) 0.5 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*z = 51*z - 52. Suppose -4 = -0*f + 2*f, -f - 44 = 2*o. Let y = z - o. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 1. What is the lowest common multiple of (5 - 3)\/((-6)\/(-15)) and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3109.5 - -3109.1. Let u = -7 + 3. Put u, -0.3, r, -1 in ascending order.\nAnswer: u, -1, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4\/3 - 14*y**3\/3 - 28*y**2\/3 - 16*y\/3 = 0. What is y?\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0)\/((17 + -204)\/(-17)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 7, 2\/15, 9, -14453.\nAnswer: -14453, -15, 2\/15, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273651 = -176*n + 197*n. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 + -105. Let h be (1\/2)\/(j\/(-720)). Let o = h - 79. Calculate the remainder when 162 is divided by o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(170)*-1)\/(-1*(sqrt(10) + sqrt(20)\/sqrt(2))) + ((sqrt(119) + sqrt(119) + sqrt(119)*-2)\/sqrt(7) - sqrt(612)*1).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 8) to base 16\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((4 - (-11 + 26)) + 17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89.2 + 12.2. Let t = 75.93 + n. Let g = 1.0881 + t. What is g rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivu when three letters picked without replacement from uuuvuuvuuii.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 31*b**2 + 334*b - 1050. Give l(-40).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.11 + -0.92. What is the nearest to -2 in 0.4, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 66\/(-15)*(-1 + 2)*-30. Let u = q - 43. Let n = 99 - u. Calculate the smallest common multiple of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16014 - -12806.8. What is x rounded to the nearest ten?\nAnswer: -3210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - 13*a + 10. Suppose 30 = -3*j + 2*d, -3*j - 2*d + 79 = 97. Determine t(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*r + 1337760 = 212*r. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 100590.\nAnswer: 1307670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -371, -1171, -2727, -5291, -9115, -14451?\nAnswer: -21551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10503316 - 5976115. Let z = s + -873703475\/193. Let i = z - 240. Is 0 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + sqrt(19) - sqrt(19))*-3 + 0)**2 + ((sqrt(1900) + 0)**2 - (1*sqrt(1900))**2))*2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 12:38 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -577.01482 - -577. What is m rounded to 4 decimal places?\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -132.99999933 + 133. What is x rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/11295007 or 0?\nAnswer: -21\/11295007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 19*x = 78416. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**7\/350 + f**6\/300 - f**5\/300 + 4*f**2. Suppose k(r) = 0. What is r?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142 + 141.5. Let z = 0 + -4. Which is the second smallest value? (a) z (b) 0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 9:12 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -688054499 equal to -688054499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 288\/28 - (-10)\/(-35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3 - 7. Let j = i + 1. Suppose r - 3*l - j = -r, 7 = 4*r - 5*l. Which is greater: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (198\/(-48))\/((-12)\/(-16)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 613 + -609. Let b = 10.2 + -10. Let y be (2 - 1)*(-7)\/(-14). Put y, b, x, 2 in increasing order.\nAnswer: b, y, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y + 4*w + 1 = 13*y, -3*y - 5*w + 2 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3 (b) -2\/3 (c) 2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 28 = -4*d, -4*d = -6 + 26 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 243*z - 248*z - 60, z = -7*d - 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 8 = -170. Let g be 8\/p*9\/(-12). Which is the second smallest value? (a) 1 (b) 4\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -113607, -113607, -113599, -113577, -113535, -113467, -113367, -113229?\n\"Answer: o**3 - 2*o**2 - o - 113605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22491923.\nAnswer: 22491923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**9\/3024 - z**8\/1008 - z**7\/2520 + z**6\/1080 - z**3\/2 - 11*z**2. Let m(c) be the first derivative of s(c). Factor m(u).\nAnswer: -u**2*(u + 1)**2*(3*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1078*v - 8. Let j(q) = -1617*q - 13. Give -5*j(n) + 8*l(n).\nAnswer: -539*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1267454 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*k + 3522, -3*p + 3*k + 2637 = -0*k. What is the highest common divisor of p and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxkt when four letters picked without replacement from qtkktqtxtqkgqkq?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.064*-65199.\nAnswer: 4172.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.3169334 months?\nAnswer: 0.010974445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 103086 = 2*s, -191769 - 14447 = -4*s - 5*n. What is the ten thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-247))\/((-11)\/((-7579)\/(-212)))?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w = 23*w - w - 2*r + 17, -3*r = 3*w - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 78720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 5*v + 13, -p + 2*v - 10 = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(3*sqrt(7)*1) + 4*-2*sqrt(19) + 3.\nAnswer: -23*sqrt(19)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*j*y**3 + 5*j*y**2 + 2*j - y**2 wrt y.\nAnswer: 528*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 + 191\/3. Determine v so that -f*v**2 - 2\/3 - 4\/3*v = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 7:21 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b - 4 = 0, -y - 2*b = 11. Let d(v) = 3*v**3 + 27*v**2 - 24*v + 2. Let n be d(y). Calculate the highest common factor of n and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -256271 + 18?\nAnswer: -256257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*1*sqrt(468) + (-4*sqrt(104))\/sqrt(8) + (-3*sqrt(143) + sqrt(143))\/sqrt(11))*1.\nAnswer: 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -101, -141, -181, -221, -261, -301?\n\"Answer: -40*n - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739395800.\nAnswer: 2, 5, 11, 13, 103, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/630 and -67\/39?\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 785*x + 75 = 770*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(68)*-1*-3)\/((-1*sqrt(100) - sqrt(100)) + sqrt(4)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + a - 1. Let d(j) = 4*j**2 - 6*j + 6. Let s(x) = -d(x) - 6*h(x). Let v(u) = u**2. Give v(s(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 4*c - 47 = 0, -3047*p + 5*c = -3051*p + 66 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -547*y**2 + 80*y**2 - 90*y**2 - 65*y**2.\nAnswer: -622*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -614 = -0*n + 4*n + 2*d, n + d + 151 = 0. What is the common denominator of -21\/22 and (-42)\/8*n\/18?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (4 - -18)) + 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10343139 is divided by 1149237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -36*x + 3461. Give f(96).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 70464 divided by 64\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 452 = 76*z - 406 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1270, -2524, -3778, -5032, -6286?\n\"Answer: -1254*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -0.1036. What is o rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, r: 6, c: 3, e: 1, f: 5}. What is prob of sequence erc?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 134\/603*(6\/14)\/(4\/14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + (0 + (0 + sqrt(405)*-1 - (sqrt(405) + -4*(sqrt(405) + 1))))*-1)**2.\nAnswer: -8180 - 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74 - -99) + -10 + -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 3a6?\nAnswer: 3a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1683 and 32351?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(5)*-3)**2 + 3 - sqrt(5)) + (-1*(sqrt(125) + -3))**2.\nAnswer: -31*sqrt(5) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1714 - 1210. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 23, 4 in ascending order.\nAnswer: -2, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -1)*(-4 + 5). Suppose y*f + f = 0. Put 0.3, f, -0.3 in decreasing order.\nAnswer: 0.3, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -206\/7. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15 - ((8 + -5 - 1) + 0). Suppose -3827 = -m*w + 5936. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - m + 5. Let x be t(0). Suppose -x*u - 19 = -74. What is the least common multiple of u and 7\/(-4)*-4 - (-30)\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11341 + -2926. Let p = r - 84053\/10. Find the common denominator of 38\/9 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 20*m**2 + 106*m - 36. Let f be (-224)\/(-24)*(-162)\/(-63). Let b be i(f). What is the greatest common divisor of b and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 12:45 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4373 - -5264. Calculate the greatest common factor of 162 and b.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 14.4 (c) -2\/11 (d) 0.4 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 313*q - 24514 + 26079 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) 19 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1130, 8084, 26964, 63734, 124358, 214800?\nAnswer: 341024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/(36\/(-9)))\/1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4264618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -425, 5, -4495, -1.\nAnswer: -4495, -425, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/100 of a kilogram?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 10*a**3 - 8*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-5) + -9*1. Let s be (-2)\/b + (-620)\/(-220). Solve 8*m = s*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 0.4. Let m = 20.319 - 20.819. Let o = -1 - -5. What is the second biggest value in m, o, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, v: 7}. Give prob of sequence vvyv.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**3\/6 + 2*b**2 - 12*b. Let a(v) = -v**3 + 6*v**2 - 2. Let y be a(6). What is the units digit of z(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/3 + 1 - 130\/6. Let o = -20 - h. Suppose -u + o*u - 396 = 0. Calculate the highest common divisor of 36 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, s: 16}. What is prob of picking 4 s?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -45074000 rounded to the nearest one million?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*j - 36*j - 11166 + 3540 = 0. Is 74 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-20) - (-6)\/10. Let r be -1 - x - 4\/(-4). Which is smaller: 3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*m = -52*m + z + 178, -2*z = m - 187. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000701259 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - j**3 - 4)*(-4 + 0 + 2) + 13*j**3 + 11*j**3 - 11*j**3 + 2*j**3 - 4*j + 4*j to p*j**3 + d*j**2 + l*j + n and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 5*u**4\/24 + u**3\/6 + 517*u**2. Let f(k) = k**2 - 11*k - 2. Give -3*f(x) - 7*p(x).\nAnswer: -3*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 618683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620731313?\nAnswer: 620731313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-4 - 0) - (22 + (-17 - (8 + -22)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25917631?\nAnswer: 331, 78301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2781, -2782, -2783, -2784, -2785?\nAnswer: -2786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 7 = t, -3373*y - 4 = -3377*y + 2*t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -1341, 5 in decreasing order.\nAnswer: 5, 3, 1, -1341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385493?\nAnswer: 385493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5960 divided by 8\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71 - -62)*(0 - 1\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5477 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-39))\/((-26660)\/(-1333)).\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 - (-10)\/15. Suppose d = -5*c + 84 + 841. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -672 >= -609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**3 + 27*i**2 - 56*i + 106. Let u be p(7). Solve u*g - 9*g = -5*q - 8, -2*q - g + 1 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3061 + 239. Calculate the highest common divisor of z and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/12 - ((-391)\/(-68) + -6). Put 0.1, s, -4, -0.3 in descending order.\nAnswer: s, 0.1, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, -13408, 0.3, 3, 5\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avvavav. Give prob of picking 2 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -0.9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2403)\/(-54)*(-198 - -200).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1875 divided by -4.\nAnswer: 1875\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*(1 + ((sqrt(17) + sqrt(153) + 0)**2 - sqrt(17)) + (sqrt(102)\/(sqrt(18)\/sqrt(75)))**2).\nAnswer: -6282 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bee when three letters picked without replacement from {e: 9, b: 5}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/12 + -29\/60. Let g be (-5)\/(-4) - (-1)\/(-4). Let p = g + 1. Is p != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12517692 and 6512?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2482 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 11397, -35, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, -27, -65, -119?\n\"Answer: -8*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x**3 - 1752*x**2 - 15595*x - 5004 = 0. Calculate x.\nAnswer: -556\/3, -9, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 5 (c) -0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1383 in 1, 6, 0.2, -3\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33.072 - 0.072. Let v be (-360)\/(-540) + (8\/(-15))\/2. What is the smallest value in 2\/15, u, v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 279425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 62.66933 meters?\nAnswer: 62669330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5750 - 570 = -40*i. Let q = i - -659. List the prime factors of q.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n + 17*n = -370 - 7 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.092 and -2.4455.\nAnswer: -5.5375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 10*t + 9. Let f be j(9). Suppose 2*c + 2 = f, -u + c = 3*c - 22. Let i = 60 - u. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 13. Let f be (-3)\/2*l*2. Put -4, f, -3 in decreasing order.\nAnswer: f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*s = 4 + 6, 5 = -3*o + s. Let f be ((-9)\/1)\/(-2 + 3). Let r = 6 + f. Sort 1, o, r.\nAnswer: r, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f**2 - 419 + 542*f**3 - 4*f**2 + 0*f**2 - 2*f**2 with respect to f.\nAnswer: 1626*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -2*u - 6, 5*u + 5*t - 17 = 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 1 = 2*t + 2*c, 5*c = 10. Let p = -12.187 + 1.187. Does p = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -161*g. Let k(h) = -8*h. Let a(f) = f**2 - 78*f - 6. Let i be a(0). Determine i*b(o) + 119*k(o).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 5:04 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*-2 + -5 - sqrt(49)\/sqrt(252)*-2.\nAnswer: -35*sqrt(7)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 4944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6533328?\nAnswer: 2, 3, 136111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 312.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91671, 91720, 91769, 91818, 91867?\nAnswer: 91916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9\/2 (b) -0.4 (c) -0.02 (d) 2 (e) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 3*o**2 + 2. Let l be w(3). Suppose 2*y - 24 = -l*y. Is 76\/y + 4\/12 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a**3 + a**2 - 2*a + 2. Determine m(2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -2 (c) -1956 (d) 2 (e) -654\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 7. Let j be o(-7). Let p(q) = -q**2 + 17*q - 47. Let h be p(j). Let s be (-29)\/(-9) - 4\/18. Sort s, h, -3.\nAnswer: h, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.2, -0.33.\nAnswer: -0.33, -2\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - 2*i**3 - i**3 - 2*i**3 - 5*i + 5*i + (-5*i**2 + 2*i**2 + i**2)*(-19*i - 19*i - 82*i) + 4*i**2 + 2*i**3 - 4*i**2.\nAnswer: 239*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i + 6*i**2 - 12 - 35*i + 11*i + i**3. Let s be f(-8). Suppose -11 + 23 = s*c. Solve 2*v - c = -5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = -33*h + 63342 - 63675, -38 = 3*h - u for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgidgddgggggd. What is prob of picking 2 g?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(-573*l**2 + 198*l**2 + 169*l**2 + 206*l**2 + 79260*l**5 + 27011*l**5).\nAnswer: -212542*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + z + 2)*(1 - 1 - 2*z)*(-2 + 3*z**2 - 1 - 4*z**2).\nAnswer: 2*z**4 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q\/(q\/(q**(-2\/3)*q)))\/q))**2)**(-43)*((q**(-2\/9))**(-6))**27 assuming q is positive.\nAnswer: q**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n**2 - n - 10. Let g be b(-3). Let f = -56 + g. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.1707 and 0.0256.\nAnswer: -0.59316992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12, -79, -208, -411, -700, -1087, -1584, -2203?\n\"Answer: -2*q**3 - 19*q**2 + 4*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2335 - -2595. Calculate the greatest common divisor of s and 416.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58183772 is divided by 532?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 96, 2755, 7186, 13389?\n\"Answer: 886*m**2 + m - 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 145*r + 4195. Let y be k(-28). Let x = -11 + 38. Calculate the highest common factor of x and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from vopmpoobbbvpvymvbbmo?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 + (-26)\/6. Let t = 0.046 + -3.346. Let l = -3.2 - t. What is the closest to -1 in l, n, 2\/17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8917*-4235\nAnswer: 37763495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/42 - 6\/21. Let b = 0.94 - -0.06. Do b and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -676*r - 433*r - 265*r + 414*r in the form b + w*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 219?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*u - 1979 = -8*x, 0 = -2*u - 4. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.6 - -3.6. Let f(q) = -5*q + 16. Let d(w) = 3*w - 8. Let l(p) = -7*d(p) - 4*f(p). Let k be l(-8). Which is the closest to 2? (a) m (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdtd when four letters picked without replacement from {d: 9, t: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - b07a?\nAnswer: -b077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 1599 and 1598 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -11*w + 20. Let m(d) = -19*d + 40. What is 5*g(u) - 3*m(u)?\nAnswer: 2*u - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 8*k**2 - k + 51. Determine j(7).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32297 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3 + 3*k + 47*k**2 - 5 - 2 - 4. What is the tens digit of o(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*w = 14 - 12, -2*q + 4 = -4*w. Factor 3*z**4 + z**4 - z - 9*z**3 + 10*z**2 + 20*z**q - 24*z**2.\nAnswer: z*(z - 1)**2*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + -18. List the prime factors of b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**7\/70 + 11*r**6\/40 - 58*r**5\/5 + 55*r**4\/2 + 4*r**2 + 17*r. Let p(q) = 0. What is q?\nAnswer: -22, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d. Let q = 39 - 37. Let o(g) = 16*g**2 + 13*g**q + g**2. Calculate o(y(j)).\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 - -100. Suppose -4*a + y = -2*f, 5*a - 6*a + f = -3. What is the lowest common multiple of a and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - ((-3)\/3 + 1). Suppose -2*c + 3*c = d. Let s(b) = -b - 1. Calculate s(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144300 is divided by 5074.\nAnswer: 2228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.916 + 2.1421. Round p to 3 dps.\nAnswer: 0.226","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39432 and 2862?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -10*m**2. Suppose -2*k + 1 + 1 = 0. Let r(l) = k + 2*l - 1. What is a(r(d))?\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/155 and 32\/25859177?\nAnswer: 129295885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (6 + -4 - 1 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9781 + 14150. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**2*y**3 + 2567138*f**2*y**2 - 2*f**2*y - 47990*f*y**3 + 10*y**3 wrt y.\nAnswer: 24*f**2 - 287940*f + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 9*r - 2*z - 82 = -3*r, -4*z - z - 113 = 3*r for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 8 + 14*w**3 - 10 + 23.\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*h)*(-16234 - 13777 + 36459).\nAnswer: -12896*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a factor of 457968780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7868 (b) -1\/5 (c) 0.4 (d) 4 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**4\/4 - 13*v**3\/3 + v**2 - 32*v + 20. Let b be c(13). Let j(p) = -p**2 - 7*p - 2. Calculate j(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -104*q + 114*q - 239290. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 26*z - 1134 + 1404 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + 3762a74?\nAnswer: 3762a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2674\/(-35))\/(32\/20 - 2).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 6, -655*w + 25 = -656*w + 4*m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 1\/2, 0.2, 633, -12, -23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 671 (b) -3\/5 (c) -1\/6 (d) 3 (e) -0.2 (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h + 4*h + 5*h.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 23. Let r be k(23). Let g be (-9)\/12*4*1. Put 1\/3, r, g in decreasing order.\nAnswer: 1\/3, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 2:10 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61\/76 - -1\/19. Which is the second biggest value? (a) 5 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/32 or 470?\nAnswer: 470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g = 16*g. Let y(s) = 3*s**2 + s - 5. Let z be y(g). Which is the nearest to z? (a) -5 (b) 6 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 636687632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*1)\/((-32760)\/2340)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -12 (b) 4 (c) -0.3 (d) 0.5 (e) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/7)\/((-450)\/175).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 5*f. Let x be j(-5). Let w(k) = x*k - k + 5*k - 4. Calculate w(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5 - 717*p**4 + 5642*p**3 + 21238*p**2 + 22677*p + 7799.\nAnswer: (p - 709)*(p - 11)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99 - -103. Suppose 0*z - x*z + 487 = -a, a + 514 = -5*z. Let f = -248 - a. What are the prime factors of f?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/7 + (-10)\/(-35). Suppose -4*t + 14 = -r*u, 2*t - 17 = 5*u + 34. Let o(x) = -x - 8. Let p be o(u). Which is the smallest value? (a) -5 (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -24. Let x = w - -10.2. Let v = 0.1 - x. Which is the second smallest value? (a) 2\/3 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b = w + 2, -b + 7 = 3*w. Let d(j) = -12*j - 12*j + w*j - j. Let p(t) = -t**2 + 12. Let x(f) = 9. Let z(s) = -3*p(s) + 4*x(s). What is d(z(r))?\nAnswer: -69*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*g, -4*a - 111*g = -108*g - 29. Solve 3*o = -t + 13, a*t + 27*o + 1 = 30*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -66*u**3 + 621*u**2 + 5*u + 3. Let d(f) = -105*f**3 + 931*f**2 + 8*f + 5. Determine 5*d(v) - 8*n(v).\nAnswer: 3*v**3 - 313*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/8*(1 - 35). Solve -9 = 5*y - g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (160\/(-300))\/((756\/90)\/(-21))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-44) - (-128)\/(-88). What is the nearest to c in 0.2, -5, -6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 42 + 24*j**2.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b + 2. Let l be y(-9). Suppose l = 5*q + 2. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 1\/4 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 383893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-3 + 0)) + (22 - (35 - 24))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 8147247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + 424908?\nAnswer: 4248a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express d - d + 143*d**2 - 140*d**2 - 18 in the form b + i*d + f*d**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.4 (c) 147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 + 166*i**2 - 161*i - 240. Give l(82).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 326 = 73. Let w = 667\/5 + s. Let v = 0.4 + -0.5. Which is smaller: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 685.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2697700 - 2697814.99754. Let l = 115 + h. What is l rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 34 = 5*g, 4*b - 17*g + 15*g = -22. What is the thousands digit of (-8)\/(-20) - (5298\/(-5) - b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(9*k - 37*k + 17*k)*((-2 - 3 + 2)*(-4 + 1 + 1) + 6 - 2 - 2).\nAnswer: 176*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**4\/12 - 5*a**3\/3 + 2*a**2. What is the units digit of l(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 2644?\nAnswer: 10576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfee when four letters picked without replacement from {k: 7, b: 1, e: 5, f: 3, s: 3}?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16601628, -16601639, -16601650, -16601661?\nAnswer: -16601672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 3. Let f(r) = 3*r**3 + r**2 + 2*r + 3. Let o be f(g). Let n be 0 + ((-9)\/3)\/o. Which is the biggest value? (a) 5 (b) n (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**17\/u**(-7) assuming u is positive.\nAnswer: u**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**2*m**2*s**2 - 2*f**2*m - 762*f**2*s**2 + 13*f*m**2*s**2 + 2*f*m**2 - 9*m**2*s**2 - m**2 wrt f.\nAnswer: -4*m**2*s**2 - 4*m - 1524*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(7 - 2\/1). Suppose 50 = 53*g - 50*g - 5*t, -5*t = g - 30. What is the lowest common multiple of 20\/(-3)*(-12)\/s and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 6 * 0.14\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20013 (base 6) in base 4?\nAnswer: -220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81 - 45. Let a = -18 + v. Calculate the highest common divisor of a and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.5, -2\/11, -166, 148, 5 in ascending order.\nAnswer: -166, -4, -0.5, -2\/11, 5, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -144888 from -23922877.\nAnswer: -23777989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**5 - 1978758*r**4 - 19671536*r**2?\nAnswer: -120*r**2 - 47490192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 25218\nAnswer: -151308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2710 is divided by 225?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12450277, -12450270, -12450263, -12450256, -12450249?\n\"Answer: 7*y - 12450284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**4\/54 + 52*x**3\/9 + 750*x. Determine k so that f(k) = 0.\nAnswer: -156, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 8, -1\/11, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, 2\/9, -1\/2, -87?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1348*i + 3979*i - 1350*i + 0*i**3 - i**3 - 1281*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 48*h + 523. Calculate l(-12).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 762*n - 5585. What is x(7)?\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1576 + 11050\/7. Find the common denominator of k and -7 + ((-180)\/28 - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 3*i**2 + 19*i - 49. Let t be k(3). Suppose -u + 3 = 1. Suppose -12 = -u*x + 4*a, t*x - 10 = 11*x + a. What is the nearest to -1 in 3, x, 4\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 589054?\nAnswer: 589054.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 11*r**8\/56 - 5*r**4\/6 - 14*r. What is the third derivative of f(x) wrt x?\nAnswer: 1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4191 in 2, -2, -204?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -70853\nAnswer: -19\/70853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2128939?\nAnswer: 419, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2418*k - 339*k - 1190*k + k**2 to the form w*k**2 + u + y*k and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.55 + -1.550156. Round w to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**4\/4 + 12*j - 114. Let n(d) = 1856*d. What is n(c(z))?\nAnswer: -5568*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2629272\/325 or -8090?\nAnswer: -8090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 21*f**2 - 71*f - 19. Let d be y(24). Solve 2*x = 5*x - 6, -d*u = 3*x + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j**2 + 0*j - 97*j**2 + 37*j**2 + 29*j**2 + 0*j + 30*j**2.\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 206, 404, 588, 752, 890?\n\"Answer: -y**3 - y**2 + 208*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + r**2 + r + 1. Let c(q) = 2*q**3 - 4*q**2 - q - 4. Let i(s) = -c(s) - 3*y(s). Calculate i(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1833)\/14664)\/(2\/(-752)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + h = 21, 6*b = 5*b - 2*h - 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31, -107, -237, -421, -659, -951?\n\"Answer: -27*d**2 + 5*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918357703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + 16 + (93 - 137) + 39\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 32*z + 5. Let w be j(16). Suppose 0 = -i - w*i + 18. Solve -i + 9 = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 2*b**2 - 3*b. Let l be g(-2). Let d = 6 - l. Solve -5*p = 2*q + 21, -18 + d = 3*p + 3*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0*r + 0 + 0*r**7 - 4*r**2 + 0*r**3 + 0*r**4 + 0*r**6 + 1\/15*r**5 + 1\/112*r**8. What is the third derivative of d(i) wrt i?\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 4*t**2 + 3*t**2)*(t - t - 3*t) + 6793*t**2 - 6793*t**2 - 3*t**3.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 26) + (7 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + j**2 + 3*j + 3. Calculate b(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 51, 67, 83, 99?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133190 = 6195*k + 13002 - 48823 + 156626 for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 118, 3.4, -1.\nAnswer: -4, -1, 3.4, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z + 9 = -3*k - 25*z, 5*z + 15 = -5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -16694\nAnswer: -3\/8347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-910)\/27300)\/(14\/10)\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:50 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 882, 6553, 21960, 51975, 101470?\n\"Answer: 812*g**3 - 4*g**2 - g + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 4 - (-5 - -1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1315 + 4503. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28513*k**3 + 28343*k**3 - 4 - 56853*k**3 + 4.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 316050 and 63210.\nAnswer: 316050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002846 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-2*1)\/(sqrt(9) - 5*sqrt(36)\/sqrt(4)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 106?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31876 and 143442?\nAnswer: 286884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5, -2\/21, 4, 0.3, -24007, 0.5, -2.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 284 = -339. Solve -3*n - l + 4 = 0, 8 - 1 = d*n + 2*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 + (-1406)\/1330*-35.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 7*o**2 + 1 + 1 in the form s*o**2 + p + g*o and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7a7c + -5?\nAnswer: 7a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 20. Let m be (75\/60)\/((-1)\/(-4)). Suppose -r = m*n - t, -4*n + 3 = -n - r. Solve -g - 2 = -n*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/1*2 + 158. What is the greatest common divisor of 60 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 51 + 3403*d - 50.\nAnswer: 3403*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 24 = -3*t, -31 = 3*t - 5*j - 9. Let p = -4 - t. Solve -i - p = 2*k, -2*k = k + 5*i - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 3*d**2 - 10*d + 1. Let m be k(5). Let u(x) = -9*x**3 + x**2 - x + 1. Calculate u(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 0.5743993.\nAnswer: -2.4256007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 k when four letters picked without replacement from evekekve.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3435 - 34725 = -530*q for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*l = 7*p - 33, 0 = -p - 4*l - 18. Suppose 0 = -p*o + 4*w - 0*w - 8, -2*o - 5*w = -10. Which is smaller: -0.3 or o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 0)*-3 + (-348)\/(-110). Let d = -733\/110 + k. Let u = -1675\/7 - -239. Put u, 2, d in ascending order.\nAnswer: d, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 - 1730 + 1801 - 11*a**2.\nAnswer: -2*a**2 + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80873590 by 7.\nAnswer: -11553370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 980 is divided by 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 + 1.74. Which is the nearest to -0.1? (a) 5 (b) j (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000715 to 6 decimal places.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 21*r - 84*r)*((-1 - 3 + 6)*(4 - 2 - 4) + 2 + 2 - 3 + (4 - 4 - 2)*(-2 - 1 + 4)) as i*r + n and give i.\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - f + 2. Let z(s) = -s**2 - 11*s + 49. Let i(j) = 4*b(j) - z(j). Find the first derivative of i(v) wrt v.\nAnswer: 10*v + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 2, s: 1, p: 1, w: 1, c: 1}. What is prob of sequence se?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*j**3)*(4*j - 9*j + 11*j - 3 - j + 3 + (-1 - 3 + 6)*(-2*j - 3*j + 3*j) + j + 0*j - 2*j + 2*j - j - 3*j + 0*j + 0*j - j - j + 2*j + 0*j).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 less than 330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2329 (base 10) to base 4\nAnswer: -210121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*i - 3*i + 17, 37 = 3*i - 2*o. Suppose 5*n - 4*v = 75, 7*v = -7*n + 5*v + 67. Solve 5*j = -n - i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38817, -38818, -38829, -38856, -38905, -38982, -39093, -39244?\nAnswer: -39441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 + 13*r**2 - 7*r + 9. Let x be s(6). Let c(k) = k**3 - k - k**2 - 14 + 25 - 10 - 2*k. Determine c(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 smaller than -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.642935 times -1\nAnswer: 0.642935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42 - (0 - (1 + -1)). Suppose -2*h = 8, -h - 22 = -4*k + u. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2 + 1 - 5 - 3*u - 3. Let s be f(-2). Suppose j - 12 = -s. What is the smallest common multiple of 7 and j?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-71)\/(-2) - 8\/(-16). Let o be 2\/5 + (-468)\/20. Let n = o + 47. What is the greatest common factor of f and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 728729675 to the nearest integer?\nAnswer: 26995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5988 - -10940. List the prime factors of d.\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314, 1107, 2376, 4121, 6342, 9039, 12212?\nAnswer: 15861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -346.4842789759 - 1.\nAnswer: -347.4842789759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 21 - 51 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 537\nAnswer: -26\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 96. What is the remainder when z is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 11:59 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - u = -2*w - 4, 2*u + 27 = -5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*u + 750022, -48*a + 43*a + 1875123 = 4*u. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9621 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36.17 - 39.17. What is the closest to 0 in 2, 1\/4, 5, d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7103970, -14208050, -21312130?\nAnswer: -28416210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 39 - (-9 - 13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5960, -11920, -17878, -23834?\n\"Answer: x**2 - 5963*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38588?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 38*t**3 - 5*t**2 + 8*t - 8. Let n(g) = -7*g**2 - 48*g + 10. Let a be n(-7). List the prime factors of k(a).\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111710 - 111715. Let i(p) = 5*p + 1. Let h(q) be the third derivative of -3*q**4\/8 - q**3\/3 + 2*q**2. Calculate w*i(a) - 3*h(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*q = -48*q + 54*q - 2033 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95408 = 11*o - 95243 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2848 = -90*y - 778 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16640 by -3.\nAnswer: -16640\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3472 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/17)*(x*x\/(x\/(x\/(x\/x**(-2))))*x)\/x)**3*(x**(2\/15)*x*(x*x**(3\/7))\/x)**37 assuming x is positive.\nAnswer: x**(97171\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(40)*5)\/(sqrt(80)\/(sqrt(40) - sqrt(10))).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/5 and 179\/42926970?\nAnswer: 42926970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31787 and 95.\nAnswer: 158935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11340443 (base 6) to base 10.\nAnswer: -355275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {n: 6, c: 6, i: 7}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 20. Suppose i*s - 2*s - 80 = 0. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -189 - -102. Let y = d - -521\/6. Which is the closest to -1? (a) 0.4 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -48*u + 393. Let o be q(8). Solve -o = -45*g + 36*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlz when three letters picked without replacement from lzsz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210826533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 + 0.07093?\nAnswer: 106.07093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 53. Let j = n - 29.4. Let o be (-1 + (-1)\/1)\/13. Which is the biggest value? (a) o (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -264835 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -250.6 + 258.6. What is the closest to i in -4, -0.02, -5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 8*y**3 - 2743*y**2 - 377*y + 11463. What is r(343)?\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - k = 31836, -4*t + 29119 = -4*k - 2717. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219830 is divided by 219275.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 693 = 3*k, -25 = -2*s - 3*k + 326. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0)\/((2\/(-5))\/(-2)). What is the second biggest value in o, -2\/17, 0.7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 137837 and 13871?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 410*m**4 + m**3 - 11409*m**2\/2 - 8857. What is the second derivative of o(l) wrt l?\nAnswer: 9840*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l + 3. Let i(t) = -39*t - 18 + 29 - 32. Let g(o) = -216*o - 116. Let j(p) = -5*g(p) + 28*i(p). Calculate -4*j(f) - 11*m(f).\nAnswer: 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/7)*s)**(-2\/13)\/((s\/(s**6\/s*s*s))\/(s*s\/(s**(-3\/4)\/s))) assuming s is positive.\nAnswer: s**(3453\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - 3*s**5 + s**5 - s**5 + 0*s**5 + 3*s**5 + (-6*s**4 + 2*s**4 + s**4)*(-3 + 3 - 2*s).\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**2 - 17*i - 26. Let u(k) = 2*k**2 - 6*k - 9. Let b(h) = -11*u(h) + 4*z(h). Let c be b(4). What are the prime factors of (5 + 145\/(-15))*c?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 1.9?\nAnswer: -1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 62 = 5*v + r, -5*r - 28 = 2*v. Let k be (-1 - 2\/(-6))*v. Suppose -5*u + 184 = -26. Calculate the greatest common divisor of u and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, -498341.5, 0.1?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**4\/12 + 7*t**3\/3 - 15*t**2\/2 - 16*t - 2. Let p be a(-15). Solve -3*u - 4*u - 7 = p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22715)\/1947)\/(12\/9).\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 + 12*d - 39161. What is o(137)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*v**2 + 3*v**3 - 1 - 40*v**2 + 1 to the form k*v**3 + d*v + u*v**2 + n and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539*z - 2*q - 56 = -591*z, 4*z + 4*q - 2*q = -0*q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dme when three letters picked without replacement from {d: 1, l: 4, e: 1, h: 2, m: 2}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 114616224361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -47. Suppose -26 = -r*a - 8. Find the third derivative of -v**3 + 0*v**3 + 4*v**2 + 24*v**a wrt v.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfkkmdmd. Give prob of sequence kx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - -11. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 24*i - 1317. Let a be d(55). Let q = -149\/4 + 769\/20. Factor q - 6\/5*z**2 - 3\/5*z + 3\/5*z**a.\nAnswer: 3*(z - 2)*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 1:06 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57.1 - -0.1. Let f = r + 20. Let l = -37 - f. Which is the closest to l? (a) 2\/3 (b) -0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 6*l**2 - 5*l + 4. Let f be v(-5). Suppose 0 = 2*j - 2, 4*j = f*r - 13 + 33. Let g be ((-2)\/3)\/((-4)\/30). Sort g, r, 3 in decreasing order.\nAnswer: g, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62606885 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 35 - 4*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247243, 247213, 247125, 246949, 246655, 246213, 245593?\nAnswer: 244765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*1 + sqrt(76))**2 + 5 - ((3*(-1 + sqrt(76)))**2 - sqrt(76)) - (-2 + (0 + sqrt(76))*6)**2)*-5 + 2.\nAnswer: -430*sqrt(19) + 15622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*b - 0*h + 5*h, 0 = 4*b - 4*h - 36. Solve b*x + 3*d - 4*d = 12, -3*d = x + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 12. Suppose f - 5*f - 4*l = 112, 2*f = -5*l - 47. Let d = f - -31. Give v(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -10*s + s. Let a = 6 + s. Calculate the common denominator of a - (105\/20 + 1) and -51\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 8) to base 10\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2836?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3*d**2 - 50*a**3*d + 42*a**2*d**4 - a*d wrt d.\nAnswer: -4*a**3 + 504*a**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + 3)*-4.\nAnswer: -12*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(117)*2 + sqrt(117) - sqrt(117)) + sqrt(117) + sqrt(117))*-1)\/((sqrt(99)*1*-4)\/sqrt(11)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*x = 0. Suppose 3*f + 2*j - 49 = 0, -f - j + 0*j + 17 = x. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*x - 2*d, 0 = 3*x + 2*d + d + 15. Solve x*q - 8 = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 882 - 758. Solve 5*a - c = -104 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(475) + -2)*-1 - 6*(sqrt(19) + -2*sqrt(1900)))*-6.\nAnswer: -654*sqrt(19) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = 2*b - y + 27, -4*b = 2*y + 30. Calculate the smallest common multiple of 14 and (-184)\/(-6) - (-4)\/b.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7636)\/(-332)*287\/(-161).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7336189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g - 12. Let f(z) = -1. Calculate 12*f(n) - t(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -806, -1822, -3244?\nAnswer: -5072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 191 - 223 = 0 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-2)\/2*(-14)\/56. Let r = -52 - -25. Let f = 64 + r. Is u < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*n**2*x**2*y**3 - 2*n**2*x*y - 10*n*x**3*y**3 - 3*n*x**3*y**2 - 301*x + 2*y**2 wrt y.\nAnswer: 450*n**2*x**2 - 60*n*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8116 + 8116. Sort y, -7, -2\/89, -5 in increasing order.\nAnswer: -7, -5, -2\/89, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120010220102 (base 3) in base 7?\nAnswer: -10023314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/(-15) - -1)*-40. Suppose -4*j = -8*j + g. Suppose -j*f + 28 = -0*f. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c\/((c*c*c**(1\/2))\/c))*c**(-13\/3) assuming c is positive.\nAnswer: c**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49\/2? (a) 2 (b) -3 (c) -2\/39 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/180 + (-30749)\/(-24444).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 417707 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -101, -4\/3, -0.5, -0.2, 0.98, -1\/30?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (5 - 4) - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 214047 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1380 by 352.\nAnswer: -345\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -18423 (base 16) to base 12\nAnswer: -49603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**5\/5 + 381*n**4 - 359511*n**3\/5 + 17039559*n**2\/5 + 7106490*n = 0.\nAnswer: -2, 0, 75, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -59*s + 61*s. Suppose s*n + 3*d = -3, -d = 2*n - 13 + 10. Suppose -5 = 2*j + 5. Sort -2, n, j, -4 in increasing order.\nAnswer: j, -4, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {i: 3, a: 4, c: 2, u: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13240 - -14243. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17778)\/(-2963) + ((-2)\/4 + -1)*(-1012)\/46\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/3113142 and -107\/63696?\nAnswer: 24905136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -20, -j + 5*j + a - 236 = 0. What is the highest common factor of j and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p + 21427 + 272731 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -1, -1\/5, -14.68, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 8*i**2 - 5*i - 10. Suppose 1 = -2*q - 15. What is the tens digit of j(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1111.26 + -1.\nAnswer: -1112.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3136 less than -1.1?\nAnswer: -3137.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and ((-8)\/(-20) - -2)\/((-26)\/(-8320)).\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -4) + (-2 - -12) + -11 - -22?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/400 and 61\/6.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 56089110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -280*g**3 + 63*g + 63. Suppose 5*s = 6*s - y - 2, -2*s - 2*y + 4 = 0. Let q(z) = -9*z**3 + 2*z + 2. What is s*o(a) - 63*q(a)?\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aci when three letters picked without replacement from aici.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/(m*m**4*m))**5*((m\/m**0)**28)**43 assuming m is positive.\nAnswer: m**1174","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 3*d**2 + 2*d. Let s be j(2). Suppose -19 = -5*c - 4. Suppose 4*w = 3*a - 0*a + 1, a + c = 4*w. Sort -3, w, s.\nAnswer: -3, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*w + 36*w - 17*w**2 - w.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a minute in milliseconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 1545885.\nAnswer: 6183540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 4) to base 2.\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -387 + 513. Suppose 30 = -6*y + a. What is the lowest common multiple of 5 and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(153))\/(1*sqrt(36)) + 4)*6 + 5.\nAnswer: -12*sqrt(17) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 133. Suppose 2675 = 5*p - 71*g + 68*g, -p + 548 = 2*g. Calculate the remainder when p is divided by o.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132806743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 = -4*r, -5*u = -r - 23 + 2. What is the closest to -14 in r, 5\/3, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z - 511 - 1244. What is the highest common divisor of z and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*z = -48*z + h + 5, -2*z = -h - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 570 = 2*v, -k - k + 2*v + 228 = 0. What is the greatest common factor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31213 (base 4) to base 16\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4 + 28732*a**3 + 172440*a**2 + 344912*a + 229952 = 0.\nAnswer: -2, 14372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 12*g - 8. Let d(c) = -8*c + 6. What is -8*d(f) - 5*x(f)?\nAnswer: 4*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 522340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 17. Suppose 8*n = 3*n. Let v = 5 - n. What is the third smallest value in t, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -17*i - 9. Let c be z(-2). Suppose -c = -8*b + 7. Solve 4*u + 2*g = b, 3*g + 2 = -4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/152256 and 101\/11648.\nAnswer: 2131584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 57*w. Let v(y) = 3*y**2. Determine v(i(p)).\nAnswer: 3*p**4 - 342*p**3 + 9747*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 2. Let n be i(2). Let q = 4 + n. Is 2\/3 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2970 and 2585?\nAnswer: 139590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 206049409 and 20863.\nAnswer: 206070272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 191, 160, 53?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10239.2 - 10241. What is the biggest value in -3\/2, 1\/47, u?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1224 - 496. Are y and 728 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x + 3*y - 8504027 = 16*x, -y + 1 = 0. Suppose 2*a = 2*b + x, 4*b + 3*a + 2689309 = -1562682. Round b to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {b: 11, g: 1, o: 6}.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 69*z**3 + z**2 - 6*z + 4. Let o be l(1). What is the highest common divisor of o and 544?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7082407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 223, 292, 361?\n\"Answer: 69*t + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38969248489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 10 = 9*s. Which is the third smallest value? (a) s (b) -2\/3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/396)\/(2\/(-6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.12895 times -5\nAnswer: 0.64475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101001100010011000 (base 2) to base 14.\nAnswer: -23a1cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829 is divided by 73?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) -3002\/277 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 + 44*i - 222. Determine v(5).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4707269 - -900580.\nAnswer: 900580.4707269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(176) - (sqrt(176) - (0 + 1 + sqrt(176) + sqrt(176))) - ((-1 + sqrt(176))*1 - sqrt(176)))**2.\nAnswer: 32*sqrt(11) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.15 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144141?\nAnswer: 3, 23, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 0 + 42\/14. Let p(v) = v**2 - 10*v + 15. Give p(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 119. Let o = -59964670 - -59964729.000062. Let q = o - f. Round q to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = -14*p + 32. Let j = p - 32. Find the second derivative of -2*h**2 + 7*h**2 - 6*h**2 - 2*h + j*h**2 wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w + 4*h + 78 = 0, 0 = -3*w + 3*h + 75. 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: What is 27\/(-72)*(-48)\/(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-5))\/((-64)\/(-240)))\/((56\/14)\/32)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12747 divided by 21.\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.7 - -1.7. Let y = 0 + -0.2. Let d = y - 0.3. Which is the closest to 0? (a) 0.2 (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4820)\/(-78) + 12\/18. Let m = 16246\/273 - i. Calculate the common denominator of 1\/12 and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z - 8 + 0 + 1 + (-z + 6*z + 0*z)*(1 - 3 + 0) to the form q*z + v and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12864924 to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 12*k + 13. Let n be t(-4). Let p = -0.01 - 0.59. Let x = p - 3.4. What is the nearest to -1 in n, x, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*r**2 + 22084*r + 162150 = 0. What is r?\nAnswer: -69, -1175\/143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.579 rounded to zero decimal places?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 33. Factor -2*f - 3 - 1\/3*f**k.\nAnswer: -(f + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*z - 80*z + 336 = 0. Calculate the highest common factor of 1148 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - n + n)*(6*n**3 - 2*n**3 - 3*n**3 + n**2).\nAnswer: -4*n**4 - 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, y: 3, t: 1}. Give prob of picking 2 y and 1 x.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(7\/4)\/s)**(2\/43)*s\/(s**(-13)*s)*s*s**27)**(-12) assuming s is positive.\nAnswer: s**(-21174\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 35*u - 35. Let k(o) = 25*o**3 + 2*o**2 - 1. Determine k(u).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - 7*h**2 - 51*h - 39. Let n(c) = c**3 + 2*c**2 - c - 1. Let j(d) = -b(d) + 3*n(d). Factor j(v).\nAnswer: (v + 1)*(v + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 l when three letters picked without replacement from zzzbqzjbjlqf?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29403 and 111078.\nAnswer: 999702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjuc when four letters picked without replacement from {t: 1, u: 2, c: 2, j: 1, v: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1500588 and 12?\nAnswer: 1500588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o. Let u be (-14 + 29 - 32)\/(-1). Let m(c) be the third derivative of 0*c + u*c**2 - 1\/24*c**4 + 0*c**3 + 0. Give m(l(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 8*k**2 + 30*k + 45. Let j be h(-7). Let z(d) = 2*d**2 + 7*d + 6. Let a be z(6). Let w = j + a. Which is smaller: w or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10)*1*-10. Let l = 75 - 78. Which is the closest to 0.1? (a) i (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4) - 40\/(-16). Suppose -5*t + 10 = 2*j, -t + 0*t - r*j = -2. Let i be 3\/(-3)*t + 7. Solve -5*w = -l - l + 33, 5*w = -5*l - i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpggllrggqgcr. What is prob of sequence rll?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyf when three letters picked without replacement from hffy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47*1056\/6204)\/(-2*(-1)\/(-8)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4112789 and 18509?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -209 divided by 31\nAnswer: -209\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -0.5, -397, 4, -15, 0, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 + 3*l**2 - 6*l - 11. What is the least common multiple of 4 and c(-4)?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.259 - -0.021. Let h = 0.92 + -1. Let n = y + h. What is the closest to -2 in n, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204989930.\nAnswer: 2, 5, 20498993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**3 - 5*b**2 - 123*b + 512. Let j be h(4). What is the greatest common divisor of j and 11050?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -424 + 424.1. Which is the fourth biggest value? (a) -4 (b) h (c) -2\/9 (d) -3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115068 and 57534.\nAnswer: 115068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*i = -0*t - 196, 4*i = 8. What is the highest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 1:03 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1233*o - 106038. Calculate h(-86).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 1\/3 (c) 0.51 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 1\/3*q**3 + 4 + 9\/2*q**2 - 12*q. Give n(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, i: 5}. Give prob of sequence ikk.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-35) - (-3)\/5. Let j be (-2*1 - -1)*d. Let h(z) = 13*z**2 - 1. What is the tens digit of h(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {u: 4, f: 5, k: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/164433 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1740 or -1215?\nAnswer: -1740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 7:07 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -11*q - 404. Determine m(-38).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 5*b - 11, -147*b = a - 142*b - 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2 (b) -3\/2 (c) 3 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -11*a + 231. Find the common denominator of 33\/10 and (-22)\/a + 1054\/(-84).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -44*o - 425. What is the remainder when 98 is divided by i(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56940 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-24)*1170\/30?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**4 - j**3\/3 - 2*j**2 - 14*j - 87. What is the remainder when o(-4) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 + -17. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.09 take away -1703399.3307?\nAnswer: 1703406.4207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 - 7*g + 17. Let t be 1311\/21 - (-12)\/21. Suppose 5*n - 2*i - t = -5*i, -4*i = 5*n - 59. Is x(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -3 - (-24 - 661). Let j = u + -664. Calculate the lowest common multiple of 212 and j.\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k**2 + 5*k + 30. Let r(x) = -9*x**2 - 8*x - 60. Determine -5*n(t) - 3*r(t).\nAnswer: 2*t**2 - t + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.45 + -19.05. Let z = r - -17.7. Which is smaller: z or 70\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2300.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f + 12*f - 6*f + 3*f. Let z(g) be the second derivative of -g**3\/6 - 2*g - 4. Calculate z(i(a)).\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116 - -557. Let r = h + -440.737. Round r to two dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17777566 by -17777566.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 2223288.\nAnswer: -2223280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -707*x. Let w(p) = -3896*p**2. Determine w(t(y)).\nAnswer: -1947411704*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -3 + 2)*3. Let v = 87 - j. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 2:22 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2958551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 33.9 times 1\nAnswer: 33.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-37895)\/(-1925) - (-70)\/98)*10\/4?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 4*a - 2. Let q be d(2). Let v be 2\/7 + 85980\/(-70). Is 18 a factor of v\/(-34) - q\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + -4. Let o(p) = p**2 + 13*p + 15. Let d be o(-12). Let x be (d\/(-4))\/((-10)\/(-60))*2. Which is greater: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6259325?\nAnswer: 5, 109, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 2:34 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 - w**4 - 2*w**4 + (1 + 113*w**2 + w - 56*w**2 - 56*w**2)*(-23462*w + 23462*w - 66*w**2) as i + t*w**2 + n*w + s*w**4 + g*w**3 and give g.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 21064527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -1098.\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 147663686 to the power of 1\/3, to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -10*a**3 + a**2 - 3*a. Let m be d(4). Let g(y) = -47*y**2 + 14*y + 20. Let p be g(-3). Let b = p - m. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**2*q**(1\/2)*q**(-11)*(q**(-6\/11)*q)\/q assuming q is positive.\nAnswer: q**(-199\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -428 - -427. Let d = 0.6 + -0.6. Which is the biggest value? (a) -3 (b) d (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -892, -1799, -2704, -3607, -4508, -5407?\nAnswer: -6304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/18 at most as big as 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 446, -2571, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1144 - 1159. What is the third smallest value in -6, -0.1, n, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 4*j = 36. Let c be 21\/(-21)*(18\/15 + -1). Let h be 37\/(-7) + (-4)\/(-14). What is the second biggest value in h, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24989, 43915, 62879, 81899, 100993, 120179?\nAnswer: 139475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 151959*y**5\/20 + 332667*y**4\/2 + 1456542*y**3 + 6377292*y**2 - 11493*y. Solve w(h) = 0 for h.\nAnswer: -162\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-30))\/((-30)\/25)*18\/(-60).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -8*f - 2. Let i be h(-1). Let s = i + 7. Solve -s = 5*y + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135066 is divided by 993.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50829*c - 3103 = -50936*c for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -21*k - 1\/150*k**6 - 11\/100*k**5 - 7\/12*k**4 - 5\/6*k**3 + 0*k**2 + 0. Find z, given that o(z) = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(2\/29))\/(i*i**(-5\/6)*i))**(-48))**(-23) assuming i is positive.\nAnswer: i**(-3128\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38461 is divided by 12552?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 12. Let x(h) = -h**2 - 11. Let y(l) = -4*j(l) + 3*x(l). What is y(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1639 - 2?\nAnswer: -163b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2990 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: Solve 3*r**3 - 79566*r**2 + 527084643*r + 6336478404 = 0 for r.\nAnswer: -12, 13267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 499, 522, 551, 586, 627, 674?\n\"Answer: 3*y**2 + 14*y + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32*a*o**2 - 94590*a*o + 3544046*o**2 wrt a.\nAnswer: 32*o**2 - 94590*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523826?\nAnswer: 2, 43, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -19\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*y + 24, -4*o - 369*y = -371*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*h + 7. Solve 0 = p + 5, -r + h*r = -p - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - l**2 + 2*l + 3. Let b be g(-3). Let k = -12 - b. Let q(o) = o**3 - 3*o**2 - 6*o - 6. What is the remainder when k is divided by q(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1804*t - 3615*t + 1809*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -56761, -227043, -510841, -908149, -1418961?\n\"Answer: k**3 - 56764*k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o + 162 + 0*o - 162. Let f(i) = i**2 - 4*i - 6. Let j be f(7). Let w(c) = 21*c. Give j*n(u) - 2*w(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28161\/22 - -14086\/11. Let f = -1 - -2. What is the nearest to r in -3, 2\/5, -0.04, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + sqrt(567) + 0)*-4 + 3 + 4.\nAnswer: -72*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - s**2 - s + 99. Let i be c(0). Suppose 45 + 53 = -2*b. Let l = b + 60. What is the greatest common divisor of l and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feaaeaaeefaaa. Give prob of picking 2 e and 1 f.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p + 152*p - 75*p - 101*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Let d be (-3 - n)*2\/(-5). Solve -5*t - 43 + d = 4*c, -4*t = 3*c + 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72*((-20)\/80)\/(6\/9)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + ((-232271)\/(-40222) - (-2 - (-54)\/28)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/345 and -37\/64260.\nAnswer: 1477980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*t + 5. Let z = -4 - t. Suppose -z*w + 25 = -5. What is the highest common factor of w and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*q*w**3 + 714*q - 3*w**3 - 6*w**2 + 117*w wrt q?\nAnswer: -2*w**3 + 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26188, 104564, 235200, 418096?\n\"Answer: 26130*z**2 - 14*z + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -785738, -785731, -785712, -785675, -785614?\nAnswer: -785523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*y**6 - 37*y**5 + 2*y**4 - 12136*y**2 + 2.\nAnswer: -600*y**3 - 2220*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -328 - 6*m**3 - m**2 - 3*m**2 - 268 + 44*m**3 + 9*m**3 wrt m?\nAnswer: 141*m**2 - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -9 - (-47)\/(3384\/1952).\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/(-320))\/(5\/(-2))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n**3 - 19*n**2 + 3*n - 14. Let p(t) = -4*t**3 - 7*t**2 + t - 5. Calculate 8*p(s) - 3*y(s).\nAnswer: s**3 + s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssesscdsedceesccds. Give prob of sequence csc.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 10*y**3 - 6*y**2 - 6. Let f(d) = 5*d**2 + 80*d**3 + 3 - 89*d**3 + 2. Calculate 7*f(m) + 6*q(m).\nAnswer: -3*m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(44\/(-6)))\/((-258)\/(-172)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6}. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**3\/3 + q**2 - 2*q. Let u(c) = -3*c + 4. Suppose 0 = -25*t + 21*t + 20. Let y = t - 8. What is y*u(x) + 5*f(x)?\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**5 + 9530*y**2 + 25471*y.\nAnswer: 60*y**3 + 19060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-24)*2*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 62 + 38. Suppose -7065 = -l*i + 415. What is the highest common divisor of 22 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 0*y + 0*y + (-194*y - 26*y**2 + 194*y)*(12 + 13 - 9).\nAnswer: -415*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65880826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1505.3 - -1504.3. What is the closest to -8 in f, -2, -4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/7, 0.09, -3, 0.2 in descending order.\nAnswer: 8\/7, 0.2, 0.09, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x + 9. Suppose 2*p - 3*p = 0. Suppose p*z = x*z. Solve 0 = -i - z*i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*-160*(-40)\/100. Let d = j - 188. Solve -4*w + 6*f = 5*f + 17, d*w + 5*f = -35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1141\/40 - 225\/8. Let -l - 4\/5*t**3 + 4\/5*t + 2\/5*t**4 + 0*t**2 = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 762 + -5336\/7. Let t = 0.1 - 1.1. Which is the closest to t? (a) 2 (b) u (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-490)\/(-42) - (-121)\/(-33). Solve 351 = -s*y + 359 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 + 7*d + 6. Let w be p(-1). Suppose -2*g + g = k - 1688, w*k - 3371 = -3*g. List the prime factors of k.\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 10:11 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -378 - -2134. List the prime factors of (k\/(-2))\/(((-132)\/(-18))\/(-11)).\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/3)\/(t**(2\/77)\/t*t*t)*t\/(t*t**(-2\/35))*(t\/((t*t\/t**(-14\/5))\/t)*t*t)\/t assuming t is positive.\nAnswer: t**(-3968\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1314574348899 - -4?\nAnswer: -1314574348895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37\/8 - -645\/136. Put 1, 5\/4, v, -0.1 in increasing order.\nAnswer: -0.1, v, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -329366 not equal to -2305558\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v. Let w(u) = -33597940*u**2. What is w(k(r))?\nAnswer: -537567040*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37368 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 2 - 2 + (2*g + 1 - 1)*(-11626*g - 2*g**2 + 23159*g - 11351*g).\nAnswer: -6*g**3 + 364*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 0)*(3 + 0 - 2)*(0*o + 2*o + 8*o**2 - 20*o**2) in the form m*o + z + c*o**2 and give c.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4148419.135 and -30.65.\nAnswer: -4148449.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + h + 5*h)*((2*h - 5*h + 5*h)*(-4 + 0 + 2) - 114*h - 1344 + 1344) to the form r + o*h + i*h**2 and give i.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -389 + 202. Let n = w + 142. Let p = -17 - n. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -142 - -141.6. Which is smaller: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1092568486.\nAnswer: 2, 37, 47, 314137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -40, -46, -54, -64, -76?\n\"Answer: -t**2 - 3*t - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = -10*j - 3*j. What is the lowest common multiple of j and 9?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 28. Calculate the remainder when c is divided by (18\/(-15))\/((-228)\/1710).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -344*d**2 - 1072*d - 51. Give w(-3).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3437 - -3250.7. Let m = o + 175. Let n = m + -0.7. What is the closest to n in 4, -3\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(891) + sqrt(11) - sqrt(11)) + 5 + -2)*6)**2 + 1.\nAnswer: 648*sqrt(11) + 32113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50581600037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 24*g = -10*g - 712. What is the third biggest value in 4\/7, -5, g, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-1))\/(2\/162). Suppose 16*a - 11*a = 4795. Suppose -a = -8*s + w. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -277, -370, -397, -346, -205, 38, 395?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017475389 to 6 decimal places.\nAnswer: -0.017475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 385318166 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 4*c + 65. Let t(b) = -b**2 + 9*b - 1. Let q be t(7). Calculate the highest common divisor of q and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*t = 3*n - 188*t + 34, 5*t + 85 = -27*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -7 + 3 + -11 + (4 - 4) + -115\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (3 - (-27)\/(-1)). Find the third derivative of b*w**2 - 36*w**3 - 13*w**6 + 36*w**3 wrt w.\nAnswer: -1560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**3\/3 + 30308*q**2\/3 - 69457724*q\/3 + 50170720348\/3 = 0 for q.\nAnswer: 1757, 4063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4546 = s + 3*l - 23702, 5*s - 2*l - 141240 = 0. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -9 - 56 - (14 - 8 - 14).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10275 divided by 15.\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-14424)\/(-20)*80\/32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 9. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -661 less than -19?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -3*w**3 - 24*w**2 + 746*w + 21. Differentiate i(d) wrt d.\nAnswer: -18*d - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183924.\nAnswer: 2, 7, 42283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.71697881 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -3 (c) -9084\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -16376.26794 to the nearest ten.\nAnswer: -16380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**3 + 7*n**2 - 2*n + 21. Is 34 a factor of z(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140*f**4 + 40*f**3 + 43*f**2 - 47.\nAnswer: -3360*f + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -23\/13, -0.2, -51?\nAnswer: -23\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**2 - 12*d - 1. Let b be m(2). Let w(s) be the third derivative of -1\/24*s**4 - 1\/120*s**5 + 0 + 0*s + 0*s**b + 3*s**2. Factor w(o).\nAnswer: -o*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1214152 is divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42700 divided by -35?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + 2*r**3 + r**3)*(3*r**2 + 4*r - 4*r).\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 2:40 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27985000 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 21*w**2 - 103*w + 37. Calculate v(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-397*q + 138*q + 31*q)*(-1 + 3 + 2).\nAnswer: -912*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -956, 5, -5, 0 in increasing order.\nAnswer: -956, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 11:09 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 162\/67 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79138 - 79199 = 13*d - 5*w, 20 = -3*d + 2*w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -106145?\nAnswer: 106140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/21 - -8*(-2)\/42. Sort 1, p, -4\/3 in ascending order.\nAnswer: -4\/3, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i - 2*i - 1891 = 0. Suppose -q - 3*k = 1 + 3, 0 = 4*k. Let t = q - -20. What is the remainder when i is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.01 + 0.11. Let v = -62.8 - -62.4. What is the second smallest value in u, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691786 is divided by 26606.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: -9*((-4)\/(-5))\/((-711)\/2370)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -894, -1, -5 in descending order.\nAnswer: -1, -5, -894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101220 + -10201122212?\nAnswer: -10202001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*i - 5 - 6, 4*i + 19 = 5*u. Solve 3*r + 2*f = 4*r + 12, u*r + 4*f = 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*sqrt(6)\/sqrt(2)*-4 + 3)**2.\nAnswer: -72*sqrt(3) + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6453, 6065, 5677, 5289, 4901, 4513?\nAnswer: 4125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35283 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3369, 7451, 12227, 17697, 23861, 30719?\nAnswer: 38271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48231029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, h: 1, e: 3, o: 2}. What is prob of picking 2 i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 809 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -74, -67, -58?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26272 and 45976.\nAnswer: 183904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*c + 6, 0*b + 2*b + 10 = 4*c. Suppose -4*l - c*o - 6 = 0, -3*l + 3*o = 4 + 5. Sort 2, 1, l.\nAnswer: l, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1613095?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2 + 3*r - 2. Let h(m) = -7*m**2 + 6*m - 3. Let l(t) = 3*h(t) - 5*i(t). Calculate l(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14013 (base 9) to base 2\nAnswer: 10010100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 8*f - 6. Let r be l(-6). Let p(u) = -5*u + 27. Let d be p(r). Let a = d + 65. Which is smaller: a or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 52*i**2 - 375*i - 5. Calculate l(-9).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 14, -1, 7, 2 in increasing order.\nAnswer: -6, -4, -1, 2, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 13*m**2 + 6*m + 80. What is the remainder when p(-12) is divided by 73?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 1. Let j be h(8). Suppose 90*u - 45 = 85*u. Let r be 4\/(-4 + -3 + u). Solve -r*g = 3 + j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*g - 136 = 53*g. Solve q + g = 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4055 times 0.2?\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 16*l**2 - 20*l + 40. Suppose 3*v + 60 = -k + 20, 0 = -5*k - 5. List the prime factors of o(v).\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -34*p + 203. Let l be g(6). Is l equal to -6\/641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -12381, -3, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpfhfphdptu. Give prob of sequence fdfp.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9835.691 litres to millilitres.\nAnswer: 9835691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15655 and 202.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*9.8.\nAnswer: -137.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -949*d - 225*d**3 + 949*d - 208*d**3.\nAnswer: -433*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**3\/3 + 3*w**2 - 2*w - 1. Let d be -2 + 10 + -5 + 2. What is q(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20259979.7 to the nearest one hundred thousand.\nAnswer: -20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11178110.\nAnswer: 2, 5, 1117811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -4, -29 in descending order.\nAnswer: -4, -20, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -12*s**2 + s + 1. Let b = 43 + -44. Let x be g(b). Are x and -13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 0 (c) 42 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 1)*(1 - 3 + 1) - 2 + 2 + 1 + 3 - 4 + 4)*(r**3 - 183*r**2 + 183*r**2).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 125392.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 10}. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a + 2 = 0. Suppose -4*j = -3*l + 1, a*l = -5*j + 6 + 10. Suppose j*p = 3*n - 4 - 6, p = -5*n + 8. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -2 - 2\/3*p**3 + 3*p**2 - 4*p. Factor a(h).\nAnswer: -2*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2519*t**3 - 23*t**2 + 96*t - 21. Let r(q) = 504*q**3 - 4*q**2 + 18*q - 4. Give -3*p(m) + 16*r(m).\nAnswer: 507*m**3 + 5*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 1 = -4*f, -2*l + 28*f + 782 = 884 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -11222022222100?\nAnswer: -11222022222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyy when three letters picked without replacement from {h: 1, s: 6, y: 2, x: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*q - q = 14, k + 1 = q. Let b = k - -9. Solve -5*z + 3*z - p = -b, 0 = 5*z - p - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 3. Is (-98 + (g - -4))*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/6 (b) 2\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, n: 14}. Give prob of sequence kk.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 d when three letters picked without replacement from yyddyyyyyyy.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 237015 - 1659101\/7. Suppose 2*a**4 - 2\/7*a + n*a**3 - 4*a**2 - 2\/7*a**5 + 2 = 0. What is a?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2*(-6 - -5) + 3 + 5)*6. What is the highest common factor of a and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*1*(3 + -4). What is the derivative of 9 + r*q + 0*q - 3*q - 6*q wrt q?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16722733?\nAnswer: 31, 257, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -872224*l**2*o**3*u**2 + 2*l**2*u**2 - 229*l + 5*o**3*u**2 + 10*o**3*u - 2*o**2*u wrt l.\nAnswer: -1744448*o**3*u**2 + 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 511374 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 980405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 21. Let w(f) = -f + 10. Let b(x) = 2*d(x) + 5*w(x). Let z be b(0). Let k = 11 - z. Calculate the highest common divisor of k and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 - 34552*s - 168 - 161 + 491.\nAnswer: -34552*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + t + 291291 = 5*l, -3*t = l - 145628. Let f be 9\/3 - 948708\/(-2). Let o = l + f. What is o rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 q when three letters picked without replacement from jjjqjq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 286.03 + -276. Let p = b + -0.03. Let i = p - 10.14. What is i rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -955 + 940. What is the closest to -1 in 0.5, -0.5, -4, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4040*y + 16135. Give t(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 287 and 4?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 5*n**2 + 8*n - 8. Let l be z(6). Suppose 2*x = l*w - 18, x - 5*x - 1 = -w. Suppose -w*a + 77 = 17. Solve 0 = -2*f - 2 + a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*p**4*t**2 + p**2*t**3 + p*t**3 + 6*p - t**3 wrt p.\nAnswer: 360*p**2*t**2 + 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1833068 * 2.\nAnswer: 3666136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.024244 and 2.03602?\nAnswer: 2.011776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 4*t**2 + 4*t + 6. Calculate a(5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30254 (base 7) in base 13?\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 12:20 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -32846 divided by -1?\nAnswer: 32846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/10*138\/60*15*8.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265820037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91 + 60 + -123 - (-285)\/(-9).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l = 20. Solve u + 0 = -4*v - l, -2*v - 10 = -2*u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1852*j**3 + 159722*j**3 + 4*j**2 - 4*j**2.\nAnswer: 161574*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 75 = -3*o - 0*t, 0 = 2*o - 3*t - 53. Let x = 27 - o. Suppose -4*u = -2*s - 198, 0*u = u + x*s - 33. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-4) - 2)\/(-1). Let v be (-3 + (-420)\/25)\/(z\/(-10)). What is the highest common factor of v and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 10*a**2 + 2480*a + 7450. Give b(-3).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827632072 to the power of 1\/2, to the nearest integer?\nAnswer: 42751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1700282\/9 - -187813. Let o be 23070\/21 - (4\/7 - 1). Let x = o + t. What is the common denominator of x and -1\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11696, -23393, -35090, -46787?\n\"Answer: -11697*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153637 (base 9) to base 12.\nAnswer: 46881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019 times 142207?\nAnswer: -2701.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -894081 + 894159.0062. Let v = z - 78. Round v to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**2 - 2989852*y**3 - 15*y**2.\nAnswer: -2989852*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + 5 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3 - 3*s**2 - 5*s + 4*s**2 - 4*s - 2. Let m be x(9). Which is the second smallest value? (a) m (b) -0.2 (c) 1\/4 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 4*u - 10, -4*c = -u - 5 + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 6*p + 9. Let k be r(5). Suppose -k = -5*z + 6. Is 2 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.168? (a) 5 (b) 1\/6 (c) 0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5*m = 70, 187*l + m = 192*l - 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 13 - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h + 5. Let s(z) = z**3 - 6*z**2 + 7*z - 7. Let g be s(h). Suppose 4*k - 44 = q, 5*k - g*q - 52 = -q. Round k to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y - 8777 - 11941 = 0. Let g = -534 - y. Let h = -370 + g. What are the prime factors of h?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/54018702 and 31\/126043638.\nAnswer: 378130914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1027 and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -17, 2, -3 in increasing order.\nAnswer: -17, -3, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)*p*p**4\/p*p*p)\/(p**3*(p\/p**(4\/3))\/p) assuming p is positive.\nAnswer: p**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, -2, 2, 0.207 in decreasing order.\nAnswer: 2, 0.5, 0.207, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 28 = 2*p + 2*a, 2*a - 4 = p. Let o be (-936)\/(-297) + p\/22. Let d = 7 + -4. Is d equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjjtjtgxjjjg. Give prob of sequence gt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 173113900 to the nearest one million.\nAnswer: 173000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnrhmtoo. What is prob of picking 1 t and 2 n?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - -1*(sqrt(152)*1 - sqrt(152)))\/(4*sqrt(72)) + ((sqrt(76) - (sqrt(76)*2 - sqrt(76)))*4)\/(sqrt(484)*2).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*n**2 + 8*n - 8*n.\nAnswer: -179*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6080 = 10*m - 8*m. Suppose 6*u - 434 = m. List the prime factors of u.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 12:25 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/13 - 570*m**2\/13 + 73746*m\/13 + 226314\/13 = 0.\nAnswer: -381, -3, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 524273\/202334 + -2\/9197. What is the common denominator of v and -107\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 - 702?\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i\/(i*i**(-1\/3)))\/i)**(6\/7)*i**(-1\/4)*i\/i**(-1\/5))**(1\/6) assuming i is positive.\nAnswer: i**(293\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -175 - -177. Let m(t) = -x*t + 0*t + t + 19*t**3 - 18*t**3. Let j(l) = -l**3 + 3*l + 4. Determine -j(a) - 3*m(a).\nAnswer: -2*a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iephrii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*h**3 - 65*h**2 + 20*h + 65 = 0. Calculate h.\nAnswer: -13\/4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**0))*q*q*q*q\/q**(1\/7))\/(q**7*q)**(-3\/46) assuming q is positive.\nAnswer: q**(866\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -38*(-1 + 4\/(-4)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, r: 14}. Give prob of picking 2 m.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -67*w - 377. Does 14 divide s(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/300*((-3)\/(-36))\/(29\/(-290))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 3*x + 1. Let q be v(3). Let u = -4 - q. Solve -23 = 3*r - u*s, 3*r - 2*s - 8 = -27 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7937 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 7*b**2 - 3*b - 6. Let s be w(7). Let p = s - -38. What is the greatest common factor of 22 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 2*t. Let o be i(-10). Let g(f) = o*f + 4 - 4 - 82*f. Let j(h) = -h**2. What is j(g(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 127638 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/2332612 and -17\/20.\nAnswer: 11663060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -4*n + 130. Suppose 2*o - n = -2*c - 3*c, c - 6 = 3*o. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 - 3*z**2 + 4*z. Let i be o(-3). Let q = -27 + i. Suppose 6*b - 3*b = -q, -2*b + 23 = v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llulollpuopl. What is prob of picking 2 u?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1453.1 + -1606. Let p = a - -145. What is p rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 8. Let n be t(6). Let j be -8*(n\/4 - 0). Suppose -9 = 3*q - 30. Solve -j*g - 3*f - q = 0, g = -3*g + 3*f - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 14, 1, -522904 in ascending order.\nAnswer: -522904, -1, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/8 and -23\/1200.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2. Let n(a) = 1033 - 23*a + 6*a - 1032 - 24*a. Give n(u(s)).\nAnswer: -41*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*z - 770, -35 - 1465 = -4*v + 4*z. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 83. Let f = b - 71.0000268. Round f to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140876*s + 140876*s - 17*s**2 + 360*s**4 wrt s?\nAnswer: 8640*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 32*g**3 - g**2 + g. What is the units digit of z(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - (-26 - -4))*2\/(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - n**2. Let a(f) = 1 + 3*f - 3*f - 2 - 3*f. Let j be a(-1). List the prime factors of p(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = m, -5*m - 6 = y - 3*m. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16995 and 5665.\nAnswer: 16995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v - 3 + 66*v**2 - 72*v**2 - 7 wrt v?\nAnswer: -12*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 12:33 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299897?\nAnswer: 13, 17, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u + 128. What is the remainder when g(-16) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmxktxmtmi. What is prob of sequence xt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 216*s - 1792.\nAnswer: (s - 8)*(s + 224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -5, 1335, 0 in descending order.\nAnswer: 1335, 0, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 4*j**2 - 7*j + 2. Let v(a) = -2*a**3 + 8*a**2 + 15*a - 4. Let s(i) = 5*r(i) + 2*v(i). Let y be s(5). Let q = y + 5. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -208\/17, -0.4, -11\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 30. Let w = i - 18. Suppose -28 = -0*g - 3*g + w*j, -5*g - 2*j + 12 = 0. Solve 2*f = -l + 2, 5*l - 4*f = -28 - g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 69 = -0*y. Let t = y + 378. Suppose 409 + t = 4*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 429871.7um to millimeters.\nAnswer: 429.8717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14683 and 1639663.\nAnswer: 1654346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (738\/(-8) - -3). Let g = 87 - u. Sort 0.3, 2\/3, g in descending order.\nAnswer: g, 2\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 31\/13, 0, 0.9, -3\/2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from orroorr.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 3\/5 (b) 0.02 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -33*u + 1 - 21*u**2 + 94*u**2 + 31*u. Is j(1) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -2*i - 2, i - 2*j = 5*i - 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-104)*5\/75*24)\/((-796)\/10)\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131856 is divided by 43930?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 5:04 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12644, -12470, -12308, -12164, -12044, -11954, -11900?\nAnswer: -11888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.646 + 3.6304. What is t rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14\/53, 0.3, 10, 92, -0.2, 0.11 in ascending order.\nAnswer: -0.2, 0.11, 14\/53, 0.3, 10, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/(sqrt(300)*-1))\/(sqrt(160)*2*5 + sqrt(160)) + 4)**2.\nAnswer: -2*sqrt(3)\/55 + 774403\/48400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806.2 equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3450 - -3449.90005. Let j = n + 0.1. Round j to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -19*p**3 + 15*p**2 - 7*p - 5. Let b(k) = 10*k**3 - 8*k**2 + 3*k + 3. Let y(t) = -5*b(t) - 3*w(t). Let x(u) = u**3 - u**2. Calculate -5*x(o) + y(o).\nAnswer: 2*o**3 + 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*-2501.94.\nAnswer: -150.1164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001110101110011 - 10?\nAnswer: -10001110101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 20*d - 54. Let y be j(4). Suppose n - y = -23. Factor -2\/9*v**n + 0 - 8\/9*v**2 - 2\/3*v.\nAnswer: -2*v*(v + 1)*(v + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3 (b) -1\/4 (c) 0 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Let w be (-10)\/(-15) + 12\/9. Let f be 2 + w\/(3\/u). Solve 12 = f*q - 4*g - 0*g, 2*q - 11 = 3*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -33*f + 1. Give a(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -401, -3265, -11085, -26339, -51505?\nAnswer: -89061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x**3 + 28*x**2 + 25*x + 1. Let t(f) = -9 - f + 83*f**3 - 85*f**3 + 8. Let y(k) = m(k) + t(k). Factor y(u).\nAnswer: 4*u*(u + 1)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t**3 + 91*t**2 - 58*t + 18. Determine n(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 16, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10566 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*20\/6 + -1. Let w be 90\/8 - k\/(-12). Let j = -44 + 68. Calculate the highest common factor of j and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o - 6. Let i(y) be the third derivative of -y**5\/60 - 154*y**2. Calculate j(i(g)).\nAnswer: -4*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10554, -10543, -10524, -10503, -10486, -10479?\n\"Answer: -j**3 + 10*j**2 - 12*j - 10551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2814*d - 1 = -2812*d + 11*s, -d = 2*s - 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 8)\/((3\/12)\/(-1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/75 and -29\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = -127*n - 762 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63266 (base 7) to base 10.\nAnswer: -15581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7609108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 34. Let i(m) = -5*m - 30. Calculate l(i(z)).\nAnswer: 5*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 2. Let o(a) = -2*a - 4. Let m(k) = 5*o(k) - 8*t(k). What is m(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -5d69?\nAnswer: 5d70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/49 + -143\/196. Let q = -97\/309 - 2\/103. Let h = -0.09 + 1.09. Which is the nearest to 1? (a) h (b) z (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -199 - -235. Let x = -40 + k. Which is the closest to -4? (a) 0 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52514107 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.06504114 rounded to 3 decimal places?\nAnswer: 2.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**8\/48 - v**5\/4 + 9*v**2 - 10. Let z(l) be the second derivative of p(l). What is the third derivative of z(n) wrt n?\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppjjzjqqqjjzjqztpj. What is prob of picking 2 j, 1 q, and 1 t?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12498 and 168.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7083615 and 110?\nAnswer: 14167230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*y - 28*y + 5*y**2 + 16*y as a*y**2 + m*y + r and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 2*s + 5*s - 9*s in the form b + f*s and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-17))\/(-2) - (-99161323)\/5491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*p + 468. Does 24 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 8d?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/3)\/u*u*u*(u*u**(-8))\/u*(u*u**(-1\/2)*u)**(-33)*((u*u**(1\/4)*u)\/u*u)**15*u**(-3)*u*u\/(u*u**1)*u assuming u is positive.\nAnswer: u**(-301\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7686*k**2 - 7694*k**2 - 3*k**3 + 23033*k**2 - 7653*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 4. Suppose 2*u + 5 = 2*s + 1, -5*s + 5 = -4*u. Determine a(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + sqrt(63)\/sqrt(3) + sqrt(21))*1 + sqrt(21))\/(sqrt(175) - (-2*sqrt(175) + sqrt(175))).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 784.4673 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -2c9aa9?\nAnswer: -2c9aae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42987079 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162)\/20*(-2030)\/609.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**4 + 12*o**3 - 24*o**2 - 80*o - 580. Factor s(u).\nAnswer: 4*(u - 2)*(u + 1)*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -84. Let s = o - 31. Calculate the highest common factor of 39 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486) - sqrt(486)*-2)\/sqrt(3).\nAnswer: 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x + 14. Let h = x + -2. What is the third biggest value in 0.3, 5\/3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -233*v**2 + 342*v + 85. Find the first derivative of h(g) wrt g.\nAnswer: -466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*u + 199*u + 1258 = 0 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pizpjizizzizzpzzii. Give prob of picking 1 j and 1 z.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < -3058387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s - 4*s + 3*s)*(-8 + 6 + 1) to x*s + d and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -303 - -303.00661. Round r to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10496, -10488, -10480, -10472, -10464?\nAnswer: -10456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-108)\/117)\/((-90)\/52). Let u(g) be the first derivative of -45 + 1\/10*g**4 + 4\/5*g**2 + 0*g + z*g**3. Solve u(i) = 0 for i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233196 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19*(-38)\/(-266)*14.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-284)\/(-3) + 1\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + 258\/33 - (-2 - (-80)\/44). Solve r*m + 11*j - 7*j = -16, 0 = -2*m - 2*j - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3536471?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139694 is divided by 23267?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from dddhdddhhdddddd?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3082*b = 3001*b - 2268 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 16) + 19 + 5 + -66?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.26 and 212116693047?\nAnswer: 212116693049.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3944.451 grams?\nAnswer: 3.944451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s + 14. Let y(q) = -5*q + 15. Calculate -6*d(v) + 5*y(v).\nAnswer: -v - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y + 46. What are the prime factors of y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*g + 17, -p + 1 + 6 = -g. Suppose 3*n - 2*n - 5*d = 36, 42 = p*n - 4*d. Solve 10 = -2*u + 4*l - 0*l, 2*u - n = -3*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(-1)\/3*3. What is the second biggest value in 1, 1\/4, 3, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 13. Suppose -6*r = -2*r. Solve -b + j = 5*n - r, 0 = -2*n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s - 6. Let b(p) = 2*p - 5. Let w(y) = -2*b(y) + f(y). Let r(j) = -j + 2. Let l be r(0). What is the tens digit of w(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96546446 and 859.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, 29, 47, 67?\n\"Answer: s**2 + 13*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 172 = -o - 94, 2*o = 5*c - 480. Suppose l + 4*r = -l - 7588, r = -4*l - 15197. Let a be (l\/(-1))\/((-5)\/o). Round a to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 10. Give s(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 0*x - 3*x, -3*m = 2*x - 15. Solve 3*v = 5*v - 3*y + 14, -m*y - 10 = 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26085 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5765 * -3.\nAnswer: 17295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 3:24 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 2 (b) -8 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 226 - 223. Let x(u) = -16*u + 60. Is x(h) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 569 - 557. Suppose u*f + 17257 = 198013. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/72 and 33\/80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-2\/35)))\/(q*q**28*q) assuming q is positive.\nAnswer: q**(-1052\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241200 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 12:41 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/21 + (-6)\/(-21). Let b = 0.6 - 0.1. Sort d, b, 0.4 in descending order.\nAnswer: b, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-16))\/1 + (-5)\/(-20). Put 2, c, 4, -2 in descending order.\nAnswer: 4, 2, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + -21 + 21 + 39.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102 - 2112?\nAnswer: -10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 j when three letters picked without replacement from jlljlzlbyzjl.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*v + 28*v - 4 + v as p*v + d and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*p - 32, -32 = -4*p - b + 6*b. Let k be (-20)\/25 - p\/(-10). Solve k = 2*c - 2*h + 8, -3*c + 5*c + 4*h = 22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 7*h**2 - 2*h - 8. Let i be m(-7). Suppose 0*k + i*k = 780. Suppose 0 = -4*v - k + 538. List the prime factors of v.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c**3 - 7*c**2 + 2*c - 37. Let v(z) = -16*z**3 - 16*z**2 + 3*z - 75. Give 9*d(s) - 4*v(s).\nAnswer: s**3 + s**2 + 6*s - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3506 = -694*b + 5516 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -14*i**3 + 4*i**2 + 3*i - 2. Let b(l) = -28*l**3 + 7*l**2 + 5*l - 3. Determine -4*b(d) + 7*u(d).\nAnswer: 14*d**3 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/49 - (-4)\/(-14). What are the prime factors of (-12)\/(-5)*(5 - p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011495527 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*w**4 - 4357*w**2 + 14*w - 2143289.\nAnswer: -8*w**3 - 8714*w + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/30*((-522)\/(-84) - -3) and -26\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 466 + -463.39. Let a = c - 2.5702. What is a rounded to three decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9720?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 220*j**2 + 460*j.\nAnswer: -5*j*(j - 2)*(j + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*i - 23*i + 2*i)*(i - 2*i + 2*i)*(-i + 2*i**3 + i).\nAnswer: -112*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/(10013\/(-38)))\/(5\/10).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35663506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*s - 6, 4*s + 3*q = -2 + 1. Let b be 20\/11 - s\/22. Solve 2*c = -b*c + 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2445.\nAnswer: 4\/2445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q + 10. Is 29 a factor of m(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -2*s**3\/3 - 1. Let x(y) = -57*y + 30. Let p(u) = -162*u + 8 - 149*u + 297*u. Let w(l) = 15*p(l) - 4*x(l). What is w(j(k))?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n*n\/(n\/(n\/(n*n*(n\/(n\/(n\/(((n\/n**13)\/n)\/n))))\/n*n*n)))))\/n)\/(n*n**5))**(-8\/3)*((n*(n**(1\/5)\/n)\/n)\/(n**(-1\/11)\/n))**(-50) assuming n is positive.\nAnswer: n**(-1448\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjmp when four letters picked without replacement from {j: 4, p: 2, k: 1, d: 3, m: 2, n: 2}?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(385)\/(sqrt(22)\/sqrt(2)) - sqrt(35))*-4)\/(3*sqrt(1280)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*k**5 + 510*g*k**4 + 1924*g*k - 2*k - 1 wrt k.\nAnswer: 40*g*k**3 + 6120*g*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 33 + 3 = 4*m, 0 = 5*u - 3*m - 129. Let j be (-1)\/(-1 - 7\/(-8)). What is the greatest common divisor of j and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/5)\/d**(1\/2))**(-3\/32)*d*d\/d**1*d*d**7*(d\/(d*d**(2\/5)))**(2\/29) assuming d is positive.\nAnswer: d**(83003\/9280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c. Let y(v) = -7*v - 2*v - 7*v - 4*v - 24*v**2. Let j(s) = s**2 + s. Let l(z) = -20*j(z) - y(z). Give a(l(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 3\/15)\/((-3)\/(-15)). What is the third biggest value in d, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28333523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-34)\/12 - 9\/(-216)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 + -1.6. What is the nearest to t in -5, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 2\/3*n**3 + 1\/24*n**4 - 1 + 1\/360*n**6 + 0*n + 0*n**2 + 0*n**5. Let p(b) be the third derivative of o(b). Calculate p(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64597 - 36830. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1768 - 598 + o - 592 - 578.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 3:26 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 6\/5 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -13*p + 6. What is m(3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m*m**(1\/6)))**19 assuming m is positive.\nAnswer: m**(209\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Let f be 1 + 0 - 7\/(7\/(-3)). Let f*j**3 - 18*j + j**3 + 10*j**c + 18*j = 0. What is j?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (811492*g - 1652*g**3 - 811492*g)*(3*g + 3*g - 5 - 7*g) as w*g**3 + x*g**2 + r*g + k + n*g**4 and give w.\nAnswer: 8260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -84*g + 77*g - 14. Let k(c) = 78*c**2. Let s(o) = -13*o**2. Calculate g*k(m) - 13*s(m).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5.8, 57\/35, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b - 4*b + b**2 + (0*b - 3*b + b)*(2*b - 6*b + 2*b) - 2 + 2 + 2*b**2 + (-5*b + 3*b + b)*(-2 + 2 + b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 7876\/13, -2\/13, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/5)\/2)\/(((-2808)\/195)\/6)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (546\/(-27))\/13*(4\/42)\/(26\/(-234))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*-13*(2 + -3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvmwmvwmwvwpvvvvqvv. Give prob of sequence qmq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/8, 74\/7, 3, -4, -2\/11, -7\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {c: 7, q: 1, g: 1, u: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h + 2*h - 3 + 11. Suppose -8*n - 16 = -10*n. Let w be i(n). Solve -2 = -k - 3*a, -2*k = -a - w*a + 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 75957, 1 in descending order.\nAnswer: 75957, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**5 + 206*v**2 - 3024*v wrt v.\nAnswer: -20*v**3 + 412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 330?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 234*b - 2753 - 238*b + 1027*b**3 - 343*b**4 - 1030*b**3 wrt b.\nAnswer: -1372*b**3 - 9*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**4\/3 + 4*y**3 - 14*y**2 - 28*y. Let c(s) = 0. What is s?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 645*q - 5825. Determine c(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 592*x**2 - 3509*x + 41. Calculate c(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 30*u**2 + 4*u - 8. Suppose 2*n = 5*b - 21, 4*n - 2*b - 1 = -3. Is g(n) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 254c1 (base 13) to base 16\nAnswer: 10d4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 >= 241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c*g**3 + 3972*c*g**2 + 2*c*g - 142*g**3 - 9*g**2 - 22*g wrt c.\nAnswer: -g**3 + 3972*g**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68951686 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/70013 and 15\/212.\nAnswer: 280052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 50*w**2 - 324*w - 282. Let y(r) = 2*r. Determine y(f(i)).\nAnswer: 100*i**2 - 648*i - 564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-51)\/(-34))\/(-1 - (-133)\/28). What is the nearest to -0.3 in -4, -1\/6, 7\/2, o?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/9 - (-12)\/135?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 26)\/((-2520)\/(-5220)).\nAnswer: 29\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 2*k**2 + 2*k - 2. Let n be t(2). What is the second derivative of -l + 2*l**3 - 2*l**5 - n*l**3 + 3*l wrt l?\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 356 + -356.2. Let l(u) = -u**3 + 5*u**2 - 3*u. Let f be l(4). Let h be 2 + 2\/f + -1. What is the third smallest value in h, c, -1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 966041 to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 7\/6*p**3 + 1\/20*p**5 - 1\/2*p**4 + 0 - p + 0*p**2. Is 10 a factor of i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46891 - 20069297\/428. Calculate the common denominator of n and -93\/16.\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3102103220 - 12?\nAnswer: 3102103202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 - 28. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 32*b**2 - 35*b + 70. Let i be l(33). Suppose -s + 2*w = i*s - 34, s + w = 11. Solve -s*c + 3*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 r when four letters picked without replacement from raarra.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*w = 2*w - 28, 3*u - 2*w = 8. Suppose 48 = u*k - 12. Suppose 3*x - q = 3*q + 64, -q + 33 = x. Calculate the remainder when x is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 23*m**2 - 234*m + 5024. Give r(24).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.694 + 0.65. Let k = s - -0.04399809. Round k to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**6 - 5*t**5 + 12320*t**4 + 180409*t**2.\nAnswer: 240*t**3 - 300*t**2 + 295680*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5))**(11\/5))**(-3\/13) assuming c is positive.\nAnswer: c**(66\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3321.89 rounded to the nearest one hundred?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5 + 13*p**4 - 125*p**3 + 287*p**2 - 256*p + 80.\nAnswer: (p - 4)*(p - 1)**3*(p + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, q: 1, l: 2, r: 5}. Give prob of sequence rqll.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 81*h**2 + 9*h - 767. Let j be g(81). Let r(s) = -s**3 - 39*s**2 - 39*s - 40. What is r(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*a**3*q**2 - 3*a**3*q + a**3 - 4*a**2*q**2 - 2*a**2*q + 201*a*q**2 wrt a.\nAnswer: 312*q**2 - 18*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 321 + -597. Let t be (k\/(-30) + -6)*(-2)\/(-8). Which is the second smallest value? (a) 2 (b) 0.14 (c) t (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4, 4*u + 11*v - 16*v = 1468. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1039, -2829, -4619, -6409, -8199, -9989?\nAnswer: -11779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 - 2*d + 2. Let j(t) = -3*t - 22. Let s be j(-8). Let n(m) = m**2 - m + 1. Let i(o) = s*n(o) - l(o). Let a(q) = -3*q. Calculate i(a(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56351 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74173 + -44250. What are the prime factors of s?\nAnswer: 23, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9}. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 7*z - 5464 = -4*g, 2*g = 2*z + 2738. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*v**2 - 34 + 34)*(-v - v + 5*v) + 5*v**2 + 2*v**2 - 11*v**2 + 4*v**2 + 2*v**3 in the form o + r*v + n*v**2 + j*v**3 and give j.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1276\/3*f + 407044\/3 + 1\/3*f**2.\nAnswer: (f - 638)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -14*k**2 - 37*k + 3. Let p(l) = -7*l**2 - 17*l + 1. Determine 13*p(t) - 6*v(t).\nAnswer: -7*t**2 + t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338*i = 2236305 + 867549. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 1. Let t(o) = -o**3 + 4*o**2 - 9*o + 5. Let l(p) = -t(p) - 4*x(p). Let q = 20 + -13. Is 9 a factor of l(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.2 (c) -3\/5 (d) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 12:06 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 158886891*h**3 + 161325272*h**2 wrt h.\nAnswer: 953321346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-1 - 21\/(-27)) + 166896\/162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -22*k + 147. Solve -j + 2*w - k = 0, 2*j = -w - 3*w - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j**3 - 5*j**2 + 2. Let n(r) = r**3 - r**2 - r - 3. Let y(u) = -8*u**3 + 2*u**2 - 6*u - 21. Let d(g) = -6*n(g) + y(g). What is 5*d(m) + 8*p(m)?\nAnswer: 2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 5*i**2 - 28*i + 39. Give m(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 6*h + 6, 4*r - 2*r + 3*h - 9 = 0. Let w be 1 - (27\/r)\/(35\/20). Let m = 0.1 + -0.2. Which is the nearest to m? (a) -5 (b) -7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -2*r**7\/21 - 2*r**6\/15 + 6*r**5\/5 - 2*r**4\/3 - 10*r**3\/3 + 6*r**2 + 105*r. Solve d(g) = 0 for g.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 7872?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q. Suppose -h - 2 = -41. Suppose -65 = -2*m - h. Suppose -4*x = -v - 2, -2*v + 3 + m = 2*x. Calculate c(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0571 and -569.\nAnswer: -32.4899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93581087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 61 (b) -10 (c) -2\/9 (d) -2\/71 (e) -5 (f) -2 (g) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 992 + -987. Solve -4*w + 3 = -5*r, q*r + 1 = 3*w - 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 g, and 1 a when four letters picked without replacement from ageletg.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15785104*h**6 - 76*h**2 + 10196 wrt h.\nAnswer: 1894212480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 - 1 - (-60)\/8. Suppose -s*m = 62 - 34. Sort 9, m, -3 in descending order.\nAnswer: 9, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 1)*(1 - 0). Let f = 16 - 20. Let d = 2 + -11\/6. Which is the closest to v? (a) f (b) -0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 3*t**3 + 4*t**3 + 0 + 2*t**3 + 0 + (-4*t + 6*t - 4*t)*(3 - t**2 - 3) - 4*t**3 + 4*t**3 - 2*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4626*j + 2319*j - 360 = -2317*j for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/11 and 149\/222.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -374 + 380. Let f(d) = -3*d + 8*d**3 + 5*d**2 - 9*d - d**3 - 13. Let c(r) = -r**3 - r**2 + 2*r + 2. Let n(y) = p*f(y) + 39*c(y). Solve n(z) = 0 for z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (0 - 6))*(-63 - 169297\/(-2686))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -4291\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*4\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9671 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*(m\/((m\/(m*m**(-2\/43)))\/m))\/m*m*m\/(m**(-14\/3)\/m) assuming m is positive.\nAnswer: m**(1370\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1588234, -1588225, -1588216?\nAnswer: -1588207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 - 2. Suppose 19 = 2*d - 3. Let h be (d\/33)\/(13\/6). Which is the third smallest value? (a) h (b) -2\/9 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 4*a**2 + a + 2. Suppose -4*f = 4 + 12. Let s = -2 - f. Suppose -l = s*l - 9. What is q(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4 + 10 - 42155*i**3 + 42156*i**3 + 11*i - 13*i**2. Determine n(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3698386 divided by 482\nAnswer: 7673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 123.63 - 115.6. Let n = 3.03 - s. Which is the third smallest value? (a) 0.12 (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 234 - -103302?\nAnswer: 103540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 359600152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88 - -88.07. Let k = -0.11 - -4.11. What is the closest to 1 in k, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20699 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 3*n + 2*o - 56, 2*o - 16 = n. Let r be ((-48)\/n)\/(12\/40). Let s be -3 + 3 + r + -3. Solve -1 - 14 = -s*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.369806 and 23.\nAnswer: 8.505538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljlnrjnnnnbjjb. What is prob of sequence nj?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5 + 11*g**4 + 55*g**3 + 73*g**2 + 30*g.\nAnswer: -g*(g - 15)*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-3 - (-264)\/3. Let p = a + -28. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(4 - (-8)\/20). Let b = -19 - j. Factor -t**b - 3*t**3 - 6*t - 4 - 9*t**2 + 3.\nAnswer: -(t + 1)**2*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689588 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*p**3 - 19 - 89*p**3 + 10*p**4 + 14 in the form q*p**3 + f + r*p**4 + b*p**2 + d*p and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -2902.849?\nAnswer: 2903.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -112054 (base 6) to base 7\nAnswer: -36544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/39*(-2704)\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94 - 214. Let d = -74 - c. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*i - 250 = 294. Let g = -6 - -3. Sort g, i, 0, -1.\nAnswer: i, g, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((1 + sqrt(448))*-3 + sqrt(448) + sqrt(448) + 1 + 0 + sqrt(448) + -3 + 6*(sqrt(448) + 1)))**2*5.\nAnswer: 480*sqrt(7) + 80645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 a, and 1 q when three letters picked without replacement from {d: 1, m: 1, q: 6, r: 6, a: 3}.\nAnswer: 27\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bebjuxhejbxebxbbeh. Give prob of sequence ux.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34720*k**2 - 34703*k**2 + 69399*k**2 - 6*k**3.\nAnswer: -6*k**3 - 24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2288 and 11440?\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169*j**2*l*r**3 - j**2*l*r - 7*j**2*l - 2*j*l*r - j*r**3 + 33*l*r - 9*r**3 wrt j.\nAnswer: -338*l*r**3 - 2*l*r - 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/1038898 and 113\/72.\nAnswer: 37400328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -504*n - 3457 + 5164 + 9381 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 12:00 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2239 + 10825163*u - 10825164*u - 2239.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 3*1\/3. List the prime factors of 3\/((l\/(-22))\/(-1)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 4 + 2*k**2 - 30*k + 1\/6*k**3. Determine o(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 203 - -95. Calculate the remainder when r is divided by ((-18)\/(-30) - 0)\/(32\/1600).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 108.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2, -3, -5.\nAnswer: -5, -3, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 273327 at least 273330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/((-2)\/4*-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -x + 18, 4*x + s = 3*x - 7. Let m(u) = -8*u - 31. Let j be m(-4). Sort -3, x, j in descending order.\nAnswer: j, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from {n: 4, i: 4, p: 1, k: 1, v: 2, r: 7}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 0.2, 2, -4, -0.278, -4\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 12021020032?\nAnswer: -12021020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8684144797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*q - 3 = -14, 0 = 4*s + 5*q - 24. Suppose 3*h = a - 7 - 4, s = h. Calculate the lowest common multiple of a and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179883 to the power of 1\/2, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -101001111?\nAnswer: 101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19 and 31958.\nAnswer: 31958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**3 + 13968*v**2 - 352036*v - 1181712 = 0. What is v?\nAnswer: -3517, -3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/5)\/(4\/10). Let j = 12093 + -12057. Factor -24*o**p + 8*o**2 + j*o + 13*o**2 + 39.\nAnswer: -3*(o - 13)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(22 - 1316\/56)\/(12\/(-130))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 37 and -2304.\nAnswer: -2267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14117\/13584 + 17\/283. What is the common denominator of o and -71\/104?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 631*m + 26759. Calculate r(-42).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 1, o: 1, s: 1, a: 1}. What is prob of picking 1 s and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1122766, 2245678, 3368590, 4491502?\nAnswer: 5614414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 * -0.061.\nAnswer: 1.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - y - 7. Let w be d(12). Find the second derivative of -42*q**3 - w + 125 - 12*q wrt q.\nAnswer: -252*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11*(-6)\/33)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 7 = -22*y - 26. What is the nearest to 0.02 in y, 3, -6, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + 7)*384\/(-4). Let w be v\/(-7)*3*231\/11. Suppose 5*n = w + 5655. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-40))\/((-6)\/(-8)). Which is the smallest value? (a) 0.04 (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 129*o**2 - 67. Let z(r) = -259*r**2 + 138. Let g be -9 + 6*(-5)\/(-6). Let i(n) = g*z(n) - 9*k(n). Find the first derivative of i(u) wrt u.\nAnswer: -250*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208400, 208443, 208488, 208535, 208584, 208635, 208688?\nAnswer: 208743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkhp. Give prob of sequence kh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4210 + -4212. What is the second smallest value in 4, k, 1, 1\/7, 8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, 1, 719, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(128\/2184 + (-2)\/13)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 66*m + 101. Let d be q(25). What is the thousands digit of ((-508)\/(-6))\/((-44)\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17737859 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 140, 1\/4, -51 in descending order.\nAnswer: 140, 1\/4, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**5\/60 + i**4\/4 + i**3\/6 - 26*i**2. What is r(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x - 2577*x**2 + 13545*x**2 - 7*x.\nAnswer: 10968*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*d = 904 + 1800 - 544 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919203.\nAnswer: 3, 347, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7 + 4*o - 4 - 1 + 4 wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 22 + 12)*(-u**3 + u**3 - 5*u**3) to p*u + q*u**3 + n*u**2 + h and give q.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 - 2*y - 4. Let l(i) = 457*i**2 - 3947*i + 24. Let g(a) = -l(a) - 6*o(a). Find the second derivative of g(s) wrt s.\nAnswer: -950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*u + 1 - 1)*(4 - 6 + 0) + u + 0*u + 0*u)*(-4*u - 56*u + 11*u) as k*u**2 + v + h*u and give k.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -52353 (base 6) in base 7?\nAnswer: -26364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 26) + 0 + 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(80) + -1 + 2 + -3)**2.\nAnswer: 16*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -1055 in increasing order.\nAnswer: -1055, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-17)*x*x**19)\/(x**(23\/4)\/((x*(x\/(x\/(x\/(x**(3\/19)\/x*x))))\/x)\/x)) assuming x is positive.\nAnswer: x**(-221\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 2*x**2 + 0*x**2 + (-3*x - x + 2*x)*(0 + 0 - x) + (10*x**2 - 17*x**2 - 57*x**2)*(0 + 2 + 0) + 5*x**2 + 2*x**2 - 6*x**2)*(2 - 1 + 1).\nAnswer: -252*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 + 64*d**2 - 167*d + 430. Calculate t(-24).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 - 42 + 30)*((j - 2*j + 2*j)*(5 - 2 - 1) + 2*j - j + j).\nAnswer: -284*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 q when four letters picked without replacement from xqxgqxxijxxxxxgxqx.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 34*k. Let x(r) = 86333*r. Give f(x(y)).\nAnswer: -7453386889*y**2 - 2935322*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*s - 1747 = -99649. List the prime factors of s.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-10)*((-150)\/81)\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 404 + 2 + 24\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/4 - -1)\/(3\/1614). Let h = 271 + j. Solve -8 = -2*p, -h*i - 5*p = 2*i - 32 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26564 + -10709. What are the prime factors of x?\nAnswer: 3, 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (7 - (2 - -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 2899 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*u = -6*b + 28, -4*b - 3*u = -10. Suppose 3*z = d + 36, -b*z - 5*d + 40 = -27. Suppose -12*a - 92 = -z*a. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*f**4 + 0 - 1 + f - 3*f to m*f**2 + x*f**3 + b*f + n*f**4 + v and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + f**2 - 440 + 440 + 631*f.\nAnswer: 2*f**2 + 631*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-3))**(-22))**(-5))**27)**(2\/95) assuming w is positive.\nAnswer: w**(-3564\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 6*m**2\/7 - 18*m\/7 - 54\/7.\nAnswer: 2*(m - 3)*(m + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 + -105. Let x be g + 200*(-4 + (-1 - -6)). Let w = 11 + x. List the prime factors of w.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 28*y - 16*y - 15*y. Let h(s) = 36*s + 3. What is h(q(v))?\nAnswer: -108*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.856 + 13.2. Let u = w - -4.6. Let g = -0.204 + u. Is g < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463694.\nAnswer: 2, 7, 11, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*y + 101. Let w = y - -15. Let d(b) = 6 - b**3 - 1 - 1. Determine d(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -28, -9, 48, 155?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 9*m**2 + 9*m + 8. Calculate p(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5 = 0, -1074*r + 1076*r - 23 + 8 = 13*m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12036 - 11645.52. Let v = u - 390.521102. Let q = -0.041 - v. Round q to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.22 - -0.41. Round u to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hapajpx. What is prob of picking 1 x and 2 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2836.5 - 635562\nAnswer: -632725.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**5\/60 + c**4\/24 - c**2\/2 + 1. Let d(k) be the second derivative of l(k). Solve d(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-7) - (-52)\/(-14). Let a(b) be the first derivative of b**2\/2 + 5*b + 86. Determine a(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - q + 10*q**3 + (2 + 2 - 1)*(-4*q**3 + 2*q**3 + 3*q**3) to the form c + j*q**2 + m*q**3 + y*q and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 2*q - 2*q + (1 - 4 + 1)*(-4*q + 2*q + 7*q) + q + 1 - 1 + (-4 + 3 + 0)*(-2*q + 7*q + 5*q) - 2*q + 2*q + q + 1 + 2*q - 1 as b*q + w and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -779, -774, -765, -752, -735?\n\"Answer: 2*b**2 - b - 780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*4 + (264\/(-11 - -23) - 21)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vooe when four letters picked without replacement from {o: 12, v: 2, c: 2, e: 2}.\nAnswer: 11\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6078019.\nAnswer: 881, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 57227*m**2 - 623*m - 2492. Let y(s) = 184*s**2 - 2*s - 8. Let u(c) = 2*a(c) - 623*y(c). Let f(d) = -16*d**2. Calculate u(f(k)).\nAnswer: -45568*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/548 and (19\/(62472\/36))\/(3 - 306\/88).\nAnswer: 3836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428084861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 810 divided by 81\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -149*v + 2609. Does 109 divide n(-65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*p**3 + 59*p**3 - 13*p**3 - 43.\nAnswer: 3*p**3 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, w: 1, h: 3, n: 4}. Give prob of sequence nfn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/4*8\/10. Let h = -14 + i. Suppose -5*z = -4*f + 3*f - 10, 3*f = 2*z + 9. Put z, -2, h in descending order.\nAnswer: z, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1416 divided by 354?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**4 - 68*d**2 + 3*d - 10*d + 15*d - 80*d**3 + 81*d**3 as v*d**3 + h + m*d + s*d**4 + q*d**2 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -0.2, -127 in ascending order.\nAnswer: -127, -0.2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -135*c**2 - 188*c - 1. Calculate the least common multiple of j(-1) and 91.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -0.7. Let l = u - 0.3. Let c = l - -0.604. Round c to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 900\/73260*((-23)\/15 - (-2)\/6). Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-3\/2))\/c*c**12*c*c\/(c\/c**14)*c\/(c\/((c\/c**(-1\/18))\/c))*c assuming c is positive.\nAnswer: c**(266\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1492040 divided by -220\nAnswer: 6782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**5\/10 - 215*y**4\/6 + 1623*y**2\/2 - 2275*y. What is the derivative of d(c) wrt c?\nAnswer: -6*c**2 - 860*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3143, 3223, 3251, 3227, 3151?\nAnswer: 3023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -132814*s**2 + 13*s - 8. Let y = 50 + -35. Suppose 5*z + 2*r - 45 = -3*r, r = 2*z - y. Let v be l(z). What is v rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 102\/51*(-2)\/4. Let o(h) = -2*h**2 + 2*h + 4. Let i be o(-5). Let d be y\/3*1 + i\/(-24). Solve -2*r + 3 = -3*p, 4 - 1 = p - d*r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -34931 and -34931 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 2*q. Let j be g(3). Let c(y) = 15*y**2 - 36*y + y**3 + 45 + 15*y + 24*y. Let b be c(j). Solve 7*u - 10*u = b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14174384.\nAnswer: 2, 7, 271, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -947.27 * 0.1\nAnswer: -94.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + v - 17, 4*u - 7630 = -7*v - 7501 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08874 + -0.02874. Which is the closest to -8? (a) 1 (b) h (c) -1\/4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, -5462, -6, -1 in increasing order.\nAnswer: -5462, -145, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -80916 divided by -22?\nAnswer: 3678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 10*j = 4*d - 408, 5*d + 3*j - 507 = 0. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3086*x + 509322. Determine c(-165).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6534, -13770, -21002, -28224, -35430, -42614, -49770?\nAnswer: -56892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/((y*y\/y**4)\/y)))\/((y*y*y*y**(-1\/9))\/y))**21 assuming y is positive.\nAnswer: y**(-308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -11488 at most as big as -0.35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 10:06 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10885058579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -908826 divided by 6?\nAnswer: -151471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 29*l**2 - 73*l - 2124. What is a(-29)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2637 + 3410 = w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -23*r**2 + 3*r + 4. Let l be w(-3). Suppose 3*j + 294 = -5*v, -146 - 31 = 2*j - 3*v. Let p = j - l. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*b = 4*z - 11, 5*z - 21 = b. Let o be (-94)\/(-104) - 3\/z. Let d = -10.2 + 10.2. What is the smallest value in o, -0.06, d?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 63 - 33 - 21.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19360 + 19361. What is the second smallest value in 3, 0.4, l, 20\/7, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*f = 35, -2*r - 2*f = -7*f + 15. Let c = r + 1. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 3*y + 4. Let d be s(-3). Suppose 0*b = -b - d. What is the third biggest value in b, -3, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(13) + -2 - (sqrt(13) + 2*sqrt(208)).\nAnswer: -8*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/29 in -80, 2, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s + 28. Determine n(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 65604*l**2 - 1772037*l.\nAnswer: l*(l - 65631)*(l + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251 - 424 + 89 + 84 - d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14859 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 126 = 2*h. What is the highest common divisor of h and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = o - 1286, 2*o - 6*i + 2*i = 2564. List the prime factors of o.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*m - 10. Solve -j + m = 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k - 272 + 65 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 6*w - 8. Let h be d(7). Let s = h + 4. Solve 2 = -2*a, -s*c = 4*a + a + 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n + n**4 + 0*n**4 - 4 + 2*n + 5*n**2 + 1. Let l(t) = t**4 + t + 1. Let g(b) = -3*l(b) - w(b). What is the third derivative of g(o) wrt o?\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*h - 43*h = -5*f + 21, -2*f - 6 = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 296591219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 38129624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396133731?\nAnswer: 3, 7, 6287837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 370*y**2 + 7 - 2*y**3 + 2*y - 2*y + 16.\nAnswer: -2*y**3 - 370*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23723*o - 47484*o + 23761*o - 230*o**2.\nAnswer: -230*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) 1\/3 (b) -0.44 (c) -113\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 17 - 11 = 0. Let r be (6 - x)\/(0 + 3). Let b be (-2)\/(12\/(-15)) - 3. Which is greater: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -8 + 1921 - (9 + 9 + -26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -310970.25 and -3?\nAnswer: 310967.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -1) + 3 - 1. Suppose 5*g - 12 = f, -2*g + 4*f = -3*g - 6. Let x be (0\/2)\/(j\/g). What is x rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 4. Let g be p(6). Suppose -2*n + 5*f = 11, 20 = 2*n + 5*f + 1. Find the third derivative of 8*s**g - s**2 + 0*s**n + s**3 wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 3*m = -12, 6*g - 2*g - 11 = -m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -277018437 rounded to the nearest 10000?\nAnswer: -277020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 15*v + 65. Let q be f(-7). Suppose q*j - 36 = -27. Which is the second biggest value? (a) j (b) 0.3 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10452, 10467, 10506, 10581, 10704, 10887, 11142, 11481?\n\"Answer: 2*k**3 + k + 10449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 26446?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 15) in base 3?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 - (2756\/(-6) + (-88)\/(-66))?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 5 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 14*j + 15 = 10*j, 4*j = 3*y - 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 201026*s**4 + s**3 + 21*s**2 - 2576 wrt s?\nAnswer: 4824624*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637523?\nAnswer: 83, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 8. Let k be b(8). Let d(u) be the third derivative of k*u + 3*u**2 + 0 - 5\/24*u**4 - 1\/6*u**3. Determine d(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = 3*p, -2*p - 5*s = -0*s - 5. Let x(z) = z**2 - 9. Calculate x(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 4, s: 3, g: 4, q: 1}. Give prob of sequence yg.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181818987?\nAnswer: 3, 7, 233, 37159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5261 (base 7) to base 4\nAnswer: 131000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 + (8 - -7169))*(0 - (1 - 2)).\nAnswer: 11, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (1 + 2)) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/sqrt(539))\/(-4*sqrt(100)).\nAnswer: -sqrt(7)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2300461?\nAnswer: 263, 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*u = 0. Suppose 4*d + 2*r - 124 = 0, u = -0*r + r - 4. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/11 in 0.07, -6, 0.4, 0.2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 23. Which is the closest to -1\/3? (a) 2\/7 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -85\/4 + 64*x + 22*x**3 - 129\/2*x**2 - 1\/4*x**4 = 0?\nAnswer: 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 3*q**2 - 2*q + 1. Let a be g(1). Suppose -2*z = -13 - a. Are z and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -16426\nAnswer: -147834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 192367234559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -37, -5 in decreasing order.\nAnswer: 3\/7, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 11304?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + sqrt(24)\/(sqrt(392)*2) + -3*(sqrt(48) + 0)))**2.\nAnswer: -18036*sqrt(3)\/7 + 768879\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 591719.83 and 591255.\nAnswer: 1182974.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7493205.3232 - -7482400. Let j = i - -10798. Let u = 7.3 + j. Round u to three decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 6*d**2 + 4*d - 1. What is the tens digit of g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/135 + (-3)\/(-15). Which is the nearest to -2\/3? (a) -5 (b) n (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 9 = -3*k + 3, 2*k = -3*a - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 261\/1055 + -10\/211. What is the third smallest value in 1\/7, -46, 0.8, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 163375*j + 1. Let a(g) = -205*g**2. Determine r(a(n)).\nAnswer: -33491875*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2821833 divided by -9?\nAnswer: 313537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -0.8 (b) -4.3 (c) -667\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-4)\/(-6) - 1. Suppose 6*a = 7*a - 14. Calculate the smallest common multiple of -2*((-3)\/k - -2) and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -384 - -270. Let z = x - -127. Solve -5*k + 3*u + 7 = 0, 4*u + z = -4*k - 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 4 (c) 375 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-4.9.\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 329561719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 71.55208 millilitres?\nAnswer: 0.07155208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 16*y - 3. Let o be h(4). Suppose 5*v + 2*m = -2*m + 53, 4*v = 3*m + o. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507484 is divided by 610.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28225 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + (-3*4*sqrt(405) - sqrt(405)))**2 + -5 + -2*sqrt(405) + -1.\nAnswer: -18*sqrt(5) + 58314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = r - 2, 3*r + 0*r - 4*m = 8. Suppose 0 = 5*t - 2*n + n - 7320, 0 = -t - r*n + 1485. Let j = t + -1026. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3378 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 o be (-4)\/5 + (-522)\/(-90) - -1. Sort -5, 1, o in ascending order.\nAnswer: -5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(20)\/(sqrt(16)\/sqrt(4))) + -5 + 0 + 1*sqrt(180))**2.\nAnswer: -60*sqrt(5) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j**2 + 0*j**2 + 14*j**2)*(j - 3*j - 11*j) to g*j**3 + t*j**2 + i*j + u and give g.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/14 and 17\/416?\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 12:03 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 179 - 218 + x**3 + 0*x - 7*x. Let k(m) = 2*m**2 - 4. Let u(v) = v**2 + 5*v - 6. Let p be u(-5). What is p*n(z) + 10*k(z)?\nAnswer: 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/31, 0, 0.2?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*f + 188, 308 = 5*f - 0*r + 2*r. Let h be 40*9\/12*2. Suppose -4*v = 12 - h. What is the highest common factor of v and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (4 + 4 - 10)) + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/587 and -7\/6457.\nAnswer: 6457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 6. What is f(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 697 - 685, 3*a + 15 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*d + 112 + 854 = 0. Solve -d = -12*w + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 781126 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -y - 4*v, -y + 5*v = 3*y - 304. What is the remainder when y is divided by ((16\/(-72))\/(43\/258))\/(4\/(-183))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i - i - i + (i - 2*i + 2*i)*(2 + 0 + 0) + 4 + i - 4 + 5639 + 5736*i - 5639 to m + p*i and give p.\nAnswer: 5742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 629736605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) 0.1 (c) 33 (d) 0.629 (e) 0.3 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -10*y. Solve 4*o + 2 + 2 = y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18560031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 d when four letters picked without replacement from ddddddddccddcddd?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 5*v**2 - v + 5. Let k be o(5). Suppose k = -l + 4 - 2. Let f be 0\/l + 0 + 0. Solve -3*r + 8*r = f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + l**2 - 3*l - 224. Let u be d(0). What is the remainder when (-64)\/u - (-164)\/14 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -18*i**4\/5 - 213*i**3\/5 - 441*i**2\/5 + 213*i\/5 + 459\/5 = 0?\nAnswer: -9, -17\/6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 3*n - 0*n - 383, -4*n = 3*k - 296. Let s = 103 - 57. Calculate the greatest common factor of k and s.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -34*t + 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (-3 + (-2 - -3)). Let t be 2*((-3)\/i)\/1. Let k(q) = -4*q**3 + q**2. Give k(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-9)\/36 + 1206\/24 and 25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2200 (base 3) to base 2.\nAnswer: -1001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 57624 (base 8) to base 7\nAnswer: 131223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l - 7. Let z(j) = -7*j - 13. Determine 5*a(y) - 3*z(y).\nAnswer: y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 4:35 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4372 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(1100)*2 + sqrt(1100)))**2.\nAnswer: 247500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1341*t**2 - 2*t**3 + 2*t**4 + 4 - 3 - 1357*t**2 + t as l + o*t**2 + s*t + p*t**3 + f*t**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5376658*q - 4*a + 50 = -5376653*q, 4*a = -3*q + 22 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011111 - 11010?\nAnswer: 110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114523, -114456, -114375, -114274, -114147, -113988, -113791?\nAnswer: -113550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46980 and 216?\nAnswer: 93960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 619222*g**4 - 462*g**2 + 616 wrt g.\nAnswer: 14861328*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 37*b**3 + 7*b**2 - 91*b + 708. What is j(6)?\nAnswer: 8406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 6.\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 5*x + 2. Let o be 12\/(-5) + 12\/(-20). Let q be k(o). Suppose -q*d + 2*u + 74 = 0, 4*d - 66 = -0*d + 5*u. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llbl when four letters picked without replacement from llllbbbl?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 22. Let k = -0.083 - -0.08. Let j = 1702 - 1706. Which is the biggest value? (a) j (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -3 + 5\/5. Is -1\/5 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 12 = 4*t, -5*u + 5058*t - 5059*t + 3 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**15*l**(-7)*((l**(-17)*l*l)\/l*l)\/l**(-11) assuming l is positive.\nAnswer: l**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -948, -1901, -2856, -3813, -4772, -5733, -6696?\nAnswer: -7661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28086890 rounded to the nearest one hundred thousand?\nAnswer: -28100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34717 + -451069\/13. Sort -9, k, 0.2.\nAnswer: -9, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 6. Let n(d) = 7*d - 9. Let v(b) = 9*b - 9. Let y(x) = 6*n(x) - 5*v(x). Let l(g) = -8*s(g) - 5*y(g). What is l(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-10)\/(-4) - 209\/(-22). Are -7 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6 - 4 = 0. Suppose c + 9 = 13. Suppose -z = 2*x - 11, -c*z + 31 = z + i*x. Put -1, z, -5 in descending order.\nAnswer: z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 113*t + 805 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.012.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -13) + -6 + 5 + 2 + 18 - -5.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 14, r: 4}. Give prob of sequence ii.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l + 47. Let m be t(-9). Suppose -m*v = -4*v + 5558. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*5\/(-1) - (70\/40)\/(198\/7128)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(12)*-4.\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1171*n + 14068. Let d be g(12). Suppose 4*y = 2*h, 2*h - 7 = -4*y + 1. Let x be y\/((-3)\/(-8))*6. What is the greatest common divisor of x and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-3458)*-19*-2*1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 777000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28 + (-6)\/(-12)*-2. Suppose -5*y + 2*m + 27 - 1 = 0, 3*y - c = 5*m. Solve 2*x + 14 - y = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 10, 0, -18, -44?\n\"Answer: -4*u**2 + 10*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 28*m + 167. Calculate the remainder when 176 is divided by g(-25).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - c - 8. Let g be v(4). Determine x, given that -27*x**3 + 186 - 90 + 6*x**2 - 6*x**g - 96 + 27*x**5 = 0.\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026930801 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, a: 15}. Give prob of sequence qq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 3 - (-15 + 1). Let j be (0 - (-26)\/4)*130. Suppose -14*p + j = -p. Calculate the highest common divisor of v and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.16026 centimeters to millimeters.\nAnswer: 771.6026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-771)\/(-5140) + (-67)\/180.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91048 and 2128?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/8778 and -103\/1026?\nAnswer: 79002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 314 + -309. Solve 3 = k + b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 9*a - 12. Let v be t(10). Let s(h) = 7*h**3. Suppose 4*p = -60 + 340. Let n(r) = p*r - 3*r**3 - 70*r. What is v*s(d) - 5*n(d)?\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**21)**25 assuming o is positive.\nAnswer: o**(-525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3490666109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9852 - -0.0248. Let z = -0.11 + f. Which is greater: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0288276 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 22*h - 26*h. What is the units digit of (4\/14)\/((-2)\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20.4 and -0.09.\nAnswer: -1.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008008005 to 6 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1.8. Let b = 0.02 - -1.98. Let c = b + -1.8. Sort c, -0.5, i.\nAnswer: -0.5, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*5\/10*180\/54\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckgkgiaafaakgiakia. Give prob of sequence kg.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 44, 127, 264, 461, 724, 1059?\n\"Answer: r**3 + 21*r**2 + 13*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*w**2 + 129*w**2 - 37*w**2 + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.91346 * 3.93.\nAnswer: -3.5898978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -p + 24. Suppose t - 4 = p. Find the first derivative of 2 + 6 - 12*a + t*a wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2369286517?\nAnswer: 13, 182252809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-2) + (-2856)\/26. Let f = q + 111. Suppose 14*n + 25 = -3. Put -0.4, f, n in decreasing order.\nAnswer: f, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2771*u**3*z**3 - 36*u**3*z**2 + 4*u**3*z + 713*u**2*z**3 + 794*u**2*z**2 wrt u.\nAnswer: -16626*z**3 - 216*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2836 + 10774. What is the greatest common factor of 81 and w?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-8 - (-12 + 12)) - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 108520\/(-76000) - (1 - 7\/4). Let q = -13\/25 - h. Let c = -28\/57 + q. What is the nearest to -1\/3 in c, 4, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v + 10. Let j(m) = -m**3 - 6*m**2 + 9*m + 9. Let p be j(-7). Let o be i(p). Let q(u) = -o*u + 51*u - 28*u. Let d(h) = -4*h. What is d(q(a))?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(0 - -2) - 1. Is (-2)\/(1 + 10\/b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 120a66b - 3?\nAnswer: 120a668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 17630*k**2 - 52874*k**2 + 17619*k**2 + 17626*k**2 + 0.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/5)\/165*(-4275)\/((-375)\/25).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (16 - (-5 + 22))) + -15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -321003331?\nAnswer: -321003330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -231.7 - -246. Let l = 15.07 - t. What is l rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1725*v + 44 = 1729*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.98 + 0.02. Let c = q - 8. Let i = -2.03 - c. Round i to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (-34)\/(-20)*2. Let x be 6\/15 + 358\/(-1295). Let c = x - -6\/37. What is the smallest value in p, c, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5667*n + 311676. Give l(55).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1043\/8 - -134. Find the common denominator of d and -1\/164.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2418 a factor of 134723638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 2*x**2 + 5*x - 2. Let y be c(4). Calculate the highest common divisor of y and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 + -60. Let w = -26 + x. Solve 4 = w*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1908 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 - 3*m**2 - m**2 - m**2 - m**2 + 4*m**2 + (0*m + 2*m + 0*m)*(2 + m - 2) - 4*m**2 + 5*m**2 + 0*m**2 - 1 + m**2 + 1 + (-2*m + 3*m + m)*(3*m + m - m).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**3 + 38*c**2 - 14*c - 67. Give w(9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6173297 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143 divided by -224.\nAnswer: -143\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19364 - 112157 = 3259*j - 23974 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -22*a + 57 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1315815323*o**3*q - 39*o**2 + 37*q - 2339 wrt o?\nAnswer: 7894891938*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one sixths of a millennium in months?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 y when four letters picked without replacement from {p: 3, y: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 59, 115, 193?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1936930133+0.3\nAnswer: 1936930133.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 - -164. Suppose 2*d - 2*l = 378, -2*l = d - 98 - 94. Calculate the greatest common divisor of t and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -277 - -277.05. What is the smallest value in 1, t, 3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b5 (base 16) in base 8?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, g: 16}. Give prob of picking 1 r and 3 g.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*25\/(3050\/793)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1857716 divided by 464429?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 27*n**3 + 6*n - 5. Suppose 9 = 3*d, 0*f - 5*d + 35 = 2*f. Let h be f\/4 - 13\/26. Is u(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3227\/4 + 801. Let k = -11\/2 - y. Find a such that 0*a - k*a**2 + 1\/4*a**4 + 1\/4*a**3 + 0 - 1\/4*a**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 302 + -225. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -425*g**3 + 0*g**2 + g**2 - 29*g**3 - 87*g**3 to i*g**3 + j*g**2 + o + k*g and give i.\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1099, 2208, 3331, 4468?\n\"Answer: 7*x**2 + 1088*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 + 31311242?\nAnswer: 31311123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -18. Let n = f + 0. What is the remainder when 41 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*w + 15 = 51, 0 = 3*y + 3*w. Let f(a) be the second derivative of a**2 + 0 - a + 1\/12*a**y - 1\/2*a**3. Determine j, given that f(j) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y - 24. Let t be a(-6). Let j(o) = -11*o + 6. Let v(g) = -10*g + 5. Give t*v(c) - 5*j(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4*v - 1)*(4 + 3 - 7 + 4 + 22 + (-1 - 2 + 2)*(-4 + 1 + 1)) in the form d + s*v and give s.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 8 (c) -2\/23 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -981 = -44*t - 13*t + 184 + 545 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -14*j**3\/9 - 5*j**2\/3 + 4*j\/3 - 6. Solve p(g) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 + 49 = -4*a. Let n(q) = q**3 - 7*q**2 + 2*q - 9. Let d be n(a). Solve g = -3*w + 5*g - 16, 2*w - 20 = -d*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3 = -m + 18, 0 = f - 5*m - 1. Suppose -48 = -d - 5*d. Let w be ((-14)\/6 - -3)\/(d\/(-12)). What is the smallest value in f, 0.2, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9293\/42 + -658\/3. Let o = 538929\/16 - 33663. Let y = 20 - o. Find the common denominator of y and g.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/15 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737922 is divided by 243753.\nAnswer: 6663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2162 + 2237. Calculate the remainder when 187 is divided by v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1546800 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 57 - 2?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 7*g**2 - 7*g + 11. Let x be k(-8). Let q be (1 - 2)\/(x\/(-3)). Suppose 32 = p + q. Calculate the remainder when 61 is divided by p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10643.83 - -10601. Let w = x - -43. Let v = 2.33 + w. Round v to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2063240382?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.83 - -1.83. Let n = 22.3 + t. What is the smallest value in n, -0.1, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**3 - 54*t**2 + 64*t - 10. Let z(p) = -p**3 - 11*p**2 + 13*p - 2. Let h(y) = 2*q(y) - 11*z(y). Let l be (22\/2)\/(1\/(-7)*-7). Is h(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 0 + 2\/9*j**3 + 8*j**2 + 1\/90*j**5 + 1\/12*j**4 - 14*j. Let m(n) be the first derivative of u(n). Solve m(s) = 0 for s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 divided by -26.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2146 smaller than -5866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 30*h**2 + 14*h**2 - 4*h**2 - 4*h**3 - 7*h**2.\nAnswer: -4*h**3 + 33*h**2 - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 6*g**2 + 4. Let a be k(0). Which is smaller: a or 51\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*l - 20*l - 510. Put l, 3, -1, 5 in increasing order.\nAnswer: l, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0052048089 rounded to 6 decimal places?\nAnswer: -0.005205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 24530?\nAnswer: 122650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 265645956*a**3 + 889*a**2 + 31570*a?\nAnswer: 1593875736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2. Suppose -926 + 31 = -5*w + 5*r, -v*w - r = -358. Suppose 181 = 9*n - w. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2924*v - 330409. Determine c(113).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454257?\nAnswer: 3, 17, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 708, 710, 714, 720, 728?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -2.8.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = -9023*p + 9057*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5 - 4*i**3 + 2*i = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51\/4*y**2 + 0 - y + 13\/4*y**3 = 0.\nAnswer: -4, 0, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 29*x**2 - 1. Does 19 divide p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*(0 + 0). Let u = 0 + w. Suppose -m + 5*m - 12 = u. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*l - 72, 3*f - 131 = l - 59. Calculate the lowest common multiple of 364 and f.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(8))**2 + 5*(sqrt(6)\/sqrt(3))**2.\nAnswer: 8*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103031, -206061, -309091?\nAnswer: -412121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42684*v**5 + 5*v**2 - 2369*v wrt v.\nAnswer: 2561040*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -3 + 17\/33*t**3 - 18\/11*t**2 + 1\/66*t**4 - t. Factor x(d).\nAnswer: 2*(d - 1)*(d + 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*d - 5. Let z be d*(-17)\/3 + 2. Let f = 21 - z. Solve 3*k - 4*k = -f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -966 + 965. Which is the fourth biggest value? (a) -2 (b) x (c) 0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 23826910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -42244 + 44044. Solve -w*j = -1783*j - 51 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 51\/(-17)*(-1)\/3. Let w be ((-3)\/(-2))\/((-57)\/7562). Which is greater: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 + 61. Suppose 2*g - j = -5*s, -s + 19 + 19 = 5*g. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12144 (base 5) to base 4.\nAnswer: -32130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6023.496 litres in millilitres?\nAnswer: 6023496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 7\/2, 5\/2, 1 in decreasing order.\nAnswer: 12, 7\/2, 5\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.201 - 0.099. What is the nearest to 1 in o, -1\/2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = w - 3*w + 6996, 4*i - 14000 = -4*w. Is 76 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + ((sqrt(1008)*2 + -4 - sqrt(1008)) + (sqrt(1008) - (sqrt(1008)*-2 + 0)))**2)*6*2.\nAnswer: -4608*sqrt(7) + 193836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 1708 - 2*g**4 + g + 27*g**2 - 1708 - 2*g**3 as l*g**4 + n + k*g**2 + r*g + v*g**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(4)*-2 - sqrt(4))\/((sqrt(72)*-2 + sqrt(72) - sqrt(72)) + sqrt(72)) + -4 + 4)**2.\nAnswer: 25\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*p - 212 + 92 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 9*b + 15. Let d be i(11). Let q = d - 1. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.44 + 41.44. Let z = a - 41.0023. What is z rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -592 - -1178. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23373 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5104440 rounded to the nearest ten thousand?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 - 2*d + 4. Let z be c(2). Let x = -14 - z. Suppose -x*t = -5*t + 48. What is t rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64920*a*q**5 - 26*a*q**2 + 3*a*q - 8*a wrt q.\nAnswer: 3895200*a*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -20*w - 520. Let y(h) = 4*h + 100. Let i(p) = 10*r(p) + 52*y(p). Let x(n) = 513*n. Calculate x(i(d)).\nAnswer: 4104*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 13. Let v = h - 3. Let j be (-140)\/100 - (0 + -1). Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-4\/13))\/d)\/d*d*d**(-4)*(d**(-5\/2))**(2\/43))**(20\/11) assuming d is positive.\nAnswer: d**(-49460\/6149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29158?\nAnswer: 2, 61, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.108 in -0.4, 0.048, -2, -14?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2955474?\nAnswer: 2, 3, 229, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48\/17*y**2 - 2\/17*y**4 - 20\/17*y**3 + 0 + 0*y.\nAnswer: -2*y**2*(y + 4)*(y + 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-10))\/((-3)\/24). Suppose -11*c + 9*c = -v. Suppose -c*l + 5*l = 108. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -k + 4*k - 254, 0 = -2*f - 2*k + 104. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 33354074\/369 + (0 - -4)\/(-26 - -17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 6*p - 6. Suppose -g - 2*g = 5*v + 28, 2*g = -v - 14. Calculate q(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(3\/3) + -3. Let b be -1*((-1)\/(-1) - f). Is b at least -6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -15\/227?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -7*c**3\/6 - 635*c. Let w(m) = -3*m - m + 3*m. Give r(v) - 2*w(v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/11 and 67\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445965 divided by 16.\nAnswer: 445965\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {u: 1, w: 12}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.33 - -7.32. Let l = 2.93 - j. Which is the closest to -7? (a) l (b) -4 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Let s(p) = -p**3 - 3*p**2 + 5*p + 6. Let i be s(-4). Let m be 4\/i - 2\/(-1). Put 5, b, m in descending order.\nAnswer: 5, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2323024421 (base 5) to base 13\nAnswer: 112c902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-1*(-1)\/(-1). Find the common denominator of ((-2)\/(-36))\/(2\/22) and (u - 2)\/(16\/2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-25)\/9))\/(-11 + (-1017)\/(-90))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g = 127*g - 1956 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 2254?\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*x**4 + 18*x**4 - 15*x**4 - 180*x**2 + 3*x**4 + 180*x**2 - 2 + 2 + 2*x**4 + (x - x**3 - x)*(-3*x + x + 0*x).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/((-528)\/1342) - -33?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4716 - 1171. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196844?\nAnswer: 2, 49211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1\/2 (c) 7100 (d) 4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.02, 8, 19, 2, 159.\nAnswer: -2\/11, 0.02, 2, 8, 19, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 415*h**3*z**2 + 230161931*h**3 - 3538*h*z**2 + 2*h*z wrt z?\nAnswer: 830*h**3*z - 7076*h*z + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.15 - -1.05. Let w = g + -1.1. Let h = -0.1 + 0.3. Which is the smallest value? (a) 3 (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**6\/30 + 19*y**5\/5 - 105*y**4\/2 + 306*y**3 - y**2 + 114*y. Factor n(b).\nAnswer: -4*(b - 51)*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 p, and 2 c when four letters picked without replacement from pccbpppcpcpcccppcpc.\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.31.\nAnswer: -0.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17349124 divided by -333637\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304952193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -b. Suppose -5*p = 4*w - 28, -2*w - 3*p = b*p - 24. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 6:27 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/(-99) - (-4)\/(-6). Let j = 139 + -149. Let p be (-4)\/10 + (-4)\/j. Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -243013 + -10513?\nAnswer: -253526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/36 + 25\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-one fifths of a millimeter?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = -4*c, c + 4*j + 4 = -c. Suppose 0 = -c*b + 3*b + h - 377, b - 373 = -3*h. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 2, j: 3, d: 4, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*c = 778 - 3248 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53214, -53065, -52918, -52773, -52630?\n\"Answer: -x**2 + 152*x - 53365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-8\/5)\/(m\/m**(-48))*(m\/m**(-2\/91))\/(m*m**(-2\/75)*m) assuming m is positive.\nAnswer: m**(-351838\/6825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-600)\/36)*1296\/(-756)*(8 - 3).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 29136.\nAnswer: -2913.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-260)\/(-16) - 9\/(-180)*5. Factor 9 + 9*s**2 - z*s - 3\/2*s**3.\nAnswer: -3*(s - 3)*(s - 2)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -i + 2*n, i - 3*n = -4*n + 5. Solve -z - 5*c + 1 = 3*z, i = -5*z + 4*c + 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 + 244 = 101*i - 730 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in 1\/2, 6, -1\/2, 3\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-242) + (-10)\/(-66)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6962 + 13252. List the prime factors of j.\nAnswer: 2, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -52*o - 71. Let i(q) = q**2 - 2*q - 5. Let r be i(3). Let h be w(r). Solve 3 = -6*a + h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 411\/160882 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9751?\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**5\/120 + 14*w**3\/3 - w**2 + 98. Let c(r) be the third derivative of z(r). Let v(x) = 5*x. Give c(v(u)).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 340749 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 3841560 = -90187. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/21 + 2\/(-7). Let d(q) = -2*q**2 + 4*q + 6. Let z be d(3). Suppose -4*s + 40 - 56 = z. Sort -7, s, a, 3 in descending order.\nAnswer: 3, a, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41365, -80096, -118827, -157558, -196289, -235020?\nAnswer: -273751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 0*m + 2*m)*(-1 + 0 + 4)*(101 + 35 - 40) as a + z*m and give z.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 2676\nAnswer: 1605.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -38*f - 225. What is a(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.062206 years in months?\nAnswer: 60.746472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 431470710.1 rounded to the nearest 100000?\nAnswer: 431500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -390 - -230. Let k = d - -365. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4937169.18 and -0.8.\nAnswer: -4937169.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.93369366 to one dp.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-8)\/(-72)*3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (4 - (-1 + 5 - -2)). Suppose -y*o + h = -190, -h + 290 = -o + 4*o. What is the highest common divisor of 160 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31380070 divided by 6276014?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 4*o**2 - o**2)*(o**2 - 3*o**2 + 5*o**2) + o**4 - 3*o**4 - o**4 - 2*o**4 - 3*o**3 + 3*o**3.\nAnswer: -17*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-621) - 166\/322.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -162, 0, 1, 2, -4, 4 in decreasing order.\nAnswer: 9, 4, 2, 1, 0, -4, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 17*q - 41 = 0, -977*h + 971*h - 6*q = 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (17 - 8\/1 - -11332) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15136 and 10.\nAnswer: 75680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44\/35 + 6\/7. Suppose -n = -2*n - 2. What is the closest to f in n, 1\/12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.1315 + -6.437\nAnswer: -10.5685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219 + 37 - 256 + 3*n**2 - 53*n**2.\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*w + 2*p + 49, -p = w - 7. Suppose 11 = w*m + 33. Put m, -10, -4 in descending order.\nAnswer: m, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*((g*g**0*g)\/g)\/g)\/g)**(-17)*(g*g**(-2\/7)\/g)**(-9\/7)*(g**(-3)\/g**(-7))\/((g\/g**(-1\/7))\/(g\/(g**(-2\/19)*g))) assuming g is positive.\nAnswer: g**(3100\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 112*k - 358*k - 830*k**2 + 128*k + 134*k wrt k.\nAnswer: -1660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f + 16. Suppose f*c = -c + 70. Calculate the remainder when 95 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1942*l**3 - 406*l - 76*l + 480*l - 1303*l**3 in the form s*l**2 + m + b*l**3 + i*l and give b.\nAnswer: -3245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 3*a**2 + 3*a + 1. Give z(3).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 369371143472 - 6619130889296043\/17920. Let n = z + -17\/3584. Let b = n - 96. Is b < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 6:13 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*d + 76*d + 4*d**2 - 23*d in the form f + v*d**2 + p*d and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-344)*(-33325)\/775?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 13 + (-1 - -12) + -36 + 5 + -13\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 5*d + 23. Let g be m(-8). Is g\/4 + (-2)\/8*-4277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 173 (b) 37 (c) 49 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - x + x - 3*x + 2*x - 6*x - x + 5*x - 2*x + (2 + 4 - 4)*(4*x - 4*x + 2*x) - x - 3*x + 2*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 5909976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 112 + -3 - (-10149 - -10176)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*o + 3*a, -2*o + 2*a + 2 = 4. Solve -5*r - 14 = -39, -y + o*r = 17 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1970, 3918, 5886, 7874?\nAnswer: 9882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49049.\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**5*q - 2*p**4*q + 125*p**4 - 5*p**2*q + 53*p**2 - 2*p wrt p.\nAnswer: 60*p**2*q - 48*p*q + 3000*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -293*u + 2. Let p(y) = 89*y - 1. Let w(i) = -3*n(i) - 10*p(i). Let j(q) = -5*q + 2. Calculate 5*j(z) - 2*w(z).\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13160 = -1603*p + 1791*p for p.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62437355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199253737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100 + 11100000?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 11 + 8 + 23 + 2829*b.\nAnswer: 2829*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 - 4 = 0. Let g be ((-10)\/25)\/(1 + (-24)\/(-90)). Which is bigger: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9869.417km?\nAnswer: 9869417000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (127\/254)\/((10\/10)\/(-20)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -7 - (-604 - -612).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 3:52 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1539.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d = 4*d. Sort d, -3, -1 in decreasing order.\nAnswer: d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(49)\/((sqrt(7)*-4 + sqrt(7) - sqrt(7)) + sqrt(7)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 2 - ((105 - -24) + -112 + -2 + -88).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-7)\/28*(-20)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, -204, -4, 28\/9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -111111110?\nAnswer: -1000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 15*k**2 - 17*k + 8. Let g be o(-16). What is the third derivative of 19*f**3 - 14*f**2 + 9 + 15 - g wrt f?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4\/3 + 1310*z**3\/3 + 144311*z**2 + 2557144*z\/3 + 2125520\/3 = 0.\nAnswer: -652, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(1280\/540)\/(-32).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-45) + (-452)\/(-10) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 4. Let r be (24\/4 - 2) + -2. Let q(t) = -2*t**2 - 8. Let c(s) = r*q(s) - 5*u(s). Differentiate c(x) wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 9:11 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 31*m**2 - 4*m - 17. What are the prime factors of w(-3)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -3. Let z = -20 + v. Which is the third smallest value? (a) z (b) -0.5 (c) 0.4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0145099 to 4 decimal places.\nAnswer: 0.0145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -1 + (39 - 34 - 6) + (-17 - -122)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2346, -9394, -21140, -37584, -58726, -84566, -115104?\nAnswer: -150340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - 1526*(-8)\/288. Let g = u + -173759\/3600. Find the common denominator of g and -115\/12.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -12. List the prime factors of s\/(-1) - (0 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*f**2 + 0)*(1 + 1 - 5)*(1 + 0 + 1)*(3 + 4 + 1) as i + g*f + n*f**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from iziixiiiiiziiqi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8931*z - 9947*z - 16*z**2 + 17*z**2.\nAnswer: z**2 - 18878*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 49776397\nAnswer: 1\/49776397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from bzbkk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14430753917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*((-12)\/2 + 2). Suppose d = 3*o - 8*o + 117, -a*o + 96 = 2*d. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.684 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -1 - 13200000*t - 1\/4*t**4 - 1\/3*t**3 + 1\/2*t**2. Let c be l(0). What is c rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - j + 60. Let g be (-1)\/(-2) + (-43350)\/(-68). Suppose 28*d - 594 = g. What is the remainder when d is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 6*s = -30. What is the tens digit of s\/2*(1236\/18)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 0.03, -169?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8086 + 4443 + 2*s + 5628.\nAnswer: 2*s + 1985","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 8983*u**2 - 20294296*u - 541417068.\nAnswer: -(u + 27)*(u + 4478)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(931) - sqrt(931)) + 3 - (2 + (sqrt(114)*-2)\/sqrt(6) + 2).\nAnswer: -19*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*c**4 - 2693*c**3 + 8558*c**2 - 35*c?\nAnswer: -1728*c - 16158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmmpfmpomf. Give prob of picking 1 m, 1 o, and 1 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3*z**2 - f**3*z - 2*f**3 - 44*f**2*z**2 - 7*f*z**2 - 36*f*z - 2*f wrt z?\nAnswer: 2*f**3 - 88*f**2 - 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2303220142 (base 5) to base 9.\nAnswer: -10582470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13138 + -13149. Sort t, 3, 22, -1, -0.5 in descending order.\nAnswer: 22, 3, -0.5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*t**3 + 32*t**3 + t - t.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d8 (base 15) in base 12?\nAnswer: -612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*u - 2*u - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159 by -53.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22193064.32952992 - -22193080. Let k = q + -79.67047102. Let l = k - -64. What is l rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 - -66.5. Let s = 0.496 + u. Let r = -0.144 - s. Is r at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**3 + 27*i**2 - 33*i - 63 = 0.\nAnswer: -1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 20. Let z be o(10). Sort 3\/7, z, -4 in decreasing order.\nAnswer: 3\/7, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvivviiiiiiiiv. What is prob of picking 3 i and 1 v?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5784000*a**2 + 741 - 741.\nAnswer: -5784000*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 - 2)*(2*b - 1 + 1) - 97*b - 67*b - 388*b)*(3*b + 0*b - 4*b).\nAnswer: 554*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 + q**4 + 0*q**4 + (0*q**2 + q**2 + 2*q**3 + 3*q**2)*(-18*q + 5*q + 34*q) to r*q + b + h*q**3 + w*q**4 + k*q**2 and give w.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 3:54 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 274 - -402. Calculate the remainder when r is divided by 49.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2461?\nAnswer: 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, 0.7, 2\/4723?\nAnswer: 2\/4723","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 620.5 + -620. Put -2, y, 86, -0.4 in descending order.\nAnswer: 86, y, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1796447, -1, 0.5?\nAnswer: 1796447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/5 - 2294*t\/5 - 948373\/5 = 0 for t.\nAnswer: -1753, -541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55\/3*z - 3025\/6 - 1\/6*z**2.\nAnswer: -(z - 55)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53890262 * -4.\nAnswer: 215561048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 27012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(7) + 0 + 2)**2 - (4*(3 + sqrt(63)\/sqrt(144)))**2.\nAnswer: -143 - 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u*u**(-2)\/u*u*u)\/u)\/u**(-4\/5))**8)**(16\/5))**(-24) assuming u is positive.\nAnswer: u**(3072\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*i + 76*i + 5*i as d*i + b and give d.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**8\/36960 - l**7\/6930 + 5*l**4\/12 - 6*l**2. Let t(n) be the second derivative of m(n). Suppose t(o) = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*a - 5442*a**3 + 11 - 34 + 5443*a**3.\nAnswer: a**3 - 37*a - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 50. Let k(y) = y**2 + 15*y + 22. Let b be k(p). Solve 7*x - 4 = b*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9063 + -9067. Let y(t) = t - 3. Let q(c) = c - 3. Let x(a) = -2*q(a) + 3*y(a). Calculate x(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -630, -629, -624, -615, -602, -585?\n\"Answer: 2*l**2 - 5*l - 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -278 and -278 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 502 - 124. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1209 = 824*g - 4068 + 333 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2219 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 652, 1396, 2140, 2884?\n\"Answer: 744*o - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4853*l**2 + 104 + 109 + 2432*l**2 - 213 + 2419*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78724.6 litres to millilitres.\nAnswer: 78724600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5200 and 375427.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/17?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 8990875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 14. Let p be y(12). Suppose 4*o - o = -4*v + 24, -v = -p*o + 5. Suppose -13 - 67 = -o*m. Solve c - 6*c = -m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*y = -38, -5*c + 0*c + 43 = y. Suppose -1266 = 10*d + 4. Let i = d - -129. Calculate the least common multiple of c and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520*u - 294 = -471*u. Let o(k) = 5*k**3 - 6*k**2 + 5*k - 6. Let w(l) = -6*l + 3*l**2 + 14*l**2 - 14*l**3 + 17 - 8*l. Calculate u*w(f) - 17*o(f).\nAnswer: -f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3237 divided by 34.\nAnswer: -3237\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2801 - -4?\nAnswer: 2805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150328 is divided by 37292?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6398, -12911, -19424, -25937, -32450, -38963?\nAnswer: -45476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1940 - -1687. Put 1, 0.1, p, 0.4 in descending order.\nAnswer: 1, 0.4, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 36*h**2 + 56*h - 318. Let r be q(-38). What is the highest common factor of r and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(-3)\/6 - 1. Let c be (-1 + u)\/(-3 - -1). Let w = c - 0. What is the nearest to w in 4, 1\/10, 0.4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 - 50*u**2 + 51*u**2 + 2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-16))**(-4\/3))**(4\/25) assuming u is positive.\nAnswer: u**(256\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 4*x + 1. Let d(n) = 110*n - 11113. Let r be d(101). Let z(u) = -3*u**2 + 2 - 11*u + 0*u**2 + 0*u**2. Give r*z(g) + 8*t(g).\nAnswer: g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2397*u - 2383*u + 4773*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 112210 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 101112?\nAnswer: 101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from {d: 1, p: 1, f: 1, b: 2, k: 1, q: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y*y**(-12)*y*y*y)\/y))\/(y\/(((y**(-13\/2)*y)\/y*y)\/y)*y)*(y*y\/(y*y**(-3)*y*y))**9 assuming y is positive.\nAnswer: y**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 11:06 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebbb when four letters picked without replacement from ibbbazeiejbajj.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 6:13 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20, 0.05, 11?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017434 rounded to 5 decimal places?\nAnswer: 0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c**2 + 3*c + 6. Let b be 4 - (2\/2 + -2). Let q(t) = 10*t**2 - 4*t - 9. Let p(k) = b*q(k) + 7*s(k). Is 3 a factor of p(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/7)\/(r**4\/r)*((r**(1\/4)*r)\/r)\/((r**(-3)\/r)\/r*r*r)*((r*r**(-2\/9)\/r)\/(r*r*r**4*r))\/(r\/(r**0*r)*r*r**0) assuming r is positive.\nAnswer: r**(-2045\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*h - 15, 5*r - 90 = -3*h. Suppose -6*i + r = -9*i. Is -7 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/11)\/l*l**(-1\/4)*(l**0)**(-3\/19) assuming l is positive.\nAnswer: l**(-63\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5269535 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = -10*w + 74300 + 223528. What are the prime factors of w?\nAnswer: 2, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - s + 8 = 0, 3*s + 8 = -2*o + 6*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 6:36 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 993ae2 (base 15) to base 8\nAnswer: 33666673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 9*q = -7*q + 6, -5*q + 5 = -s. Solve -4*r - 8 = -4*u + 4, 2*r + 20 = -s*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 725936.1l in millilitres?\nAnswer: 725936100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4289867329 a multiple of 3936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 12:49 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/8)\/((-2)\/(-24))*119\/102.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (326\/2282)\/(2\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8484047351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-45) - (-4)\/4*0. Which is greater: -11 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 7. Let w = l - -7. Suppose 5*s - 211 - 954 = w. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -9*g**3 - 24*g**2 + 18. Let c(m) = m**3 + m**2 - 1. Let i(r) = -18*c(r) - d(r). What is the third derivative of i(x) wrt x?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12547\/4695 - 9\/1565. What is the biggest value in 1, 23\/10, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 11526 (b) -86\/3 (c) -32 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9358 rounded to the nearest 100?\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 26*z**3 + 20. Let u(g) = -g. Calculate n(u(h)).\nAnswer: 78*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28447 - -52632. Is 35 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -85*r + 83*r + 5902, 0 = 3*r - 4*m - 8874. Is 2956 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 24 - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -92. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w - 124. Let v(u) = 11*u + 188. Let z(q) = -8*j(q) - 5*v(q). Let a = 1 - 1. Does 13 divide z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -223 + 199 - (13 - (-3 - 4))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 11. Let j(o) be the third derivative of -1\/24*o**g + 1\/60*o**5 + 0*o + 0 + 1\/3*o**3 - 2*o**2. What is j(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 10*t + 9. Let k be m(-4). Let b be (28\/147)\/(4\/(-6)). Which is greater: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 0, 10*v + 20*x - 205 = 5*v + 25*x for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 698.752ml?\nAnswer: 0.698752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbbbbbnnnbnnnbnxb. What is prob of picking 1 n and 2 b?\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*x**5 - 14*x**4 + 4*x**3 - 1083*x**2 + 6?\nAnswer: 180*x**2 - 336*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3747, -1, -124 in decreasing order.\nAnswer: 3747, -1, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135607 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/15 - (3 - 1520\/156)) + -7?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.30906 and 11.31525943.\nAnswer: 11.62431943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 432594?\nAnswer: -432594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.400912 minutes in hours?\nAnswer: 0.2900152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322319946 is divided by 2953.\nAnswer: 2949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*s + 133542, 2*s + 7*g - 53393 = 10*g. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 20*h**2 - 16*h + 71. Let z be o(-19). Calculate the least common multiple of 6 and (1\/(-3))\/(z\/168) - -142.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 0)\/(26\/182). What is the hundreds digit of (12\/m)\/(2\/(-1652))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755206794 a multiple of 3933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r - 5. Let a(q) = -5*q - 4. Suppose -4*m = 4*v + 4, -v = -3*m + 2*m + 9. Let t(s) = m*k(s) - 5*a(s). What is t(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 4:03 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (2*sqrt(1300))**2) - (-5*sqrt(208) - (3 + sqrt(26)\/sqrt(2))).\nAnswer: -10387 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**3 - 6*u**2 + 12*u + 820. Determine h(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjo when three letters picked without replacement from yywjytjjwjytowyyy?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -526609945, -526609950, -526609957, -526609966?\n\"Answer: -i**2 - 2*i - 526609942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 + 49*p**4 - 2*p**3 - p**2 + 305 - 304 + 13*p**4 to the form g*p + s + x*p**2 + u*p**3 + y*p**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-10 - (-7 + -2)) - (98 + 10).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (65*2\/8)\/((-2)\/40). Let a = 465 + g. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56660925 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.48 - -0.09. Let b = 0.5 - k. Let i = b + 0.47. What is the closest to 2\/3 in i, -4, -2\/13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -679*z - 679*z - 714*z + 3*z**2 + 2072*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -z + 9, 0 = r - 3*z + 6 + 7. Let t = 31 - r. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31368480 divided by -5\nAnswer: 6273696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16483854?\nAnswer: 2, 3, 2747309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1055 - 342. Let j = 819.8 - 1528.97. Let h = f + j. Round h to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*b - 1. Suppose -4*p + 1108 = b*m, 3*p + 1406 = 3*m - 283. Does 70 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-15)*(-10)\/(-4). What is the second derivative of -7*z**3 + 5*z**3 + z**3 - 13*z**o + 92*z wrt z?\nAnswer: -156*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 21*g**2 - 15*g - 20. What are the prime factors of r(-21)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11469304 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/24 and -11\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22439894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 1. Suppose x + 3 = 6. Suppose n - x = -4. Let d be n\/(-3) + (-2)\/(-3). Let k(v) = 2*v - 1. Calculate d*k(g) - b(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.17, -35\/6, 1\/3, 49.9?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 401*z + 1790. Let i(j) = 178*j + 895. Give -9*i(k) + 4*p(k).\nAnswer: 2*k - 895","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 0.3, 27\/11, 2\/11, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0, -5 in descending order.\nAnswer: 0, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 = -5*k + 2*q, 10 = 3*k + 2*q. Suppose 252 = 5*m - k*m. Is (0 - 1)\/((-4)\/m) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164405025 and 1613.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3303 + 10?\nAnswer: 3313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012526 minus -14?\nAnswer: 13.987474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 85808*y - 170843*y + 86558*y in the form j*y + d and give j.\nAnswer: 1523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 20 + (-9 - (-30 - -4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 - 0.25. Which is the biggest value? (a) 0 (b) q (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/5, -2\/13, -2, -2406, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**3 + 172*g**2 - 36872*g - 813120 = 0.\nAnswer: -110, -21, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-4)\/10 + 48\/195.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1)*((-19166)\/5032)\/259.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -71 + 11*u**2 + 71 as h + w*u + m*u**2 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*f**3 + 245*f**2 - 60*f.\nAnswer: -5*f*(f - 12)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fkfkqffffffqffffffqf.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 119 (b) -2 (c) 0.3 (d) -28\/11 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 169949 = 58*v - 60*v, -2*u = 10. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1347*h**2 - 11*h - 8. Let b(n) = 1348*n**2 + 13*n + 10. Determine 5*b(j) + 6*y(j).\nAnswer: -1342*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54993791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 64024*d**2 + 250067748*d + 49302179568.\nAnswer: 4*(d - 8097)**2*(d + 188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*1*(-2 + sqrt(396) + 0).\nAnswer: -10 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x + 40. Suppose 6*j - j - x = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + 17. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15040?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-564)\/940)\/((-63)\/15)*21\/(-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.064 - -0.063596. What is p rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11088 = -641*m + 633*m. Let b = m + -478. Is b a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -25*h**2 - 861085*h - 344430 = 0.\nAnswer: -34443, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*t + 14, -6*t + t = 3*p + 4. Suppose -5*z - 18 = -3*l - p, -5*z = 10. Solve l - 8 = 6*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4537 divide 18501763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 17. Let c be x(-6). Solve -10*o = -c*o + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*q + 45, 0*q + 3*q + 9 = 0. What is the remainder when t is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14549 (base 11) to base 2\nAnswer: -101000010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g. Let w(n) = -33*n + 1. Determine w(s(t)).\nAnswer: 198*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*j + 375, 8 = -4*j + 28. Suppose -1090 = -58*i - 51*i. What is the least common multiple of v and i?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32327, 64657, 96987, 129317, 161647, 193977?\n\"Answer: 32330*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 38. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 + 25*j**2 - 8*j**2 + 2*j**2 - 3*j**3 - 6*j**2.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 21818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z + 33*z**2 - 64*z + 20*z**2 - 9*z wrt z.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amrmabfazmbz. What is prob of sequence fab?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -22*g - 4. Let d be l(-7). Calculate the common denominator of 24\/(-32) + d\/(-88) and (0 - 37)*(-1)\/(-8).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/3)*h)\/(h*(h\/h**(3\/5))\/h*h*h))\/(h\/((h*h**(-2\/3)*h)\/h)*h)**(-18\/13) assuming h is positive.\nAnswer: h**(437\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1258069 divided by 321.\nAnswer: 1258069\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.9164 - -5.3506. What is m rounded to one dp?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103\/4 + -713\/28. Put -1, r, -1\/6, 4 in increasing order.\nAnswer: -1, -1\/6, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3651609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -226215549 to the nearest 1000000.\nAnswer: -226000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + (1 - -2) - -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138889 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3471*b**3 - 6*b**2 + 9*b + 6. Let s be u(-6). Let r be ((-756)\/(-35))\/((-1)\/s). Round r to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 63279 + 6591 = 12*r, -2*r + 70741 = 5*p. What is the highest common factor of 159 and p?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 12*m - 117. Which is bigger: 41\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*m*(m\/(((m\/(m**(2\/7)*m))\/m)\/m)*m)\/m*m*m))**(-47)*(m*m**11)\/(m*m**6) assuming m is positive.\nAnswer: m**(2432\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - 7. Let d = h - -16. Let n = 1.3 - 3.3. Which is the nearest to 0? (a) -2\/15 (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 - 1)*((3 - 3 - d**2)*(-3*d - 4*d + 4*d) + 10*d**3 - 3*d**3 - 47*d**3) in the form x*d + f + z*d**2 + c*d**3 and give c.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**2. Suppose 5*t - 13 = 92. Let c(u) = 28 - 9*u - 7 - t. What is q(c(a))?\nAnswer: 405*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 <= -570?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -190243, -190245, -190249, -190255, -190263?\n\"Answer: -a**2 + a - 190243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10350514 - -4?\nAnswer: -10350510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*g - 3*h + 15, -4*g = -4*h - 12. Let j be (g\/(-6))\/((-2)\/(-21)) + 4. Let k(i) = 3*i**2 + 6 - i**2 - 2 + 5*i - i. What is k(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-21)*(-14)\/(-2). Suppose -2*t + 5*h = -p*t + 131, -3*t - 2*h + 380 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}