diff --git "a/data/dm_maths/full_data_2/10595_11255.jsonl" "b/data/dm_maths/full_data_2/10595_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10595_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the lowest common multiple of 253 and 138.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 - -290. List the prime factors of z.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-27)\/(-18)*940\/6.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/433755 and -37\/1470.\nAnswer: 6072570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k + 134. Suppose 6*y - 2*y = -4, -2*p + 5*y - 119 = 0. Let b = p + k. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqh when three letters picked without replacement from ppphphhkhq.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5180 + -5159. What is the least common multiple of f and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1300) + 3 + -1.\nAnswer: 2 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 73 - 7 - 2 - 6 + 91 - 1.\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 9*g**2 + 36. Let l be f(0). Suppose -3*c + 3 = -2*c - 3*r, r + 2 = 0. Let h be 5\/(15\/114) + c. Which is smaller: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 451 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -31131034?\nAnswer: 31131030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2085 - -2114 - ((-212)\/(-8) + 1))*68\/(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -36043*y - 973145. Calculate t(-27).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7911 - 7898. Solve 637*v = 624*v + z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 - (11\/(-2) + (-2783)\/(-242))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00699149645 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y = 41*y - 918. Calculate the remainder when y is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 42. Are 6\/23 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-81)\/15 + 2\/5. Let o = -3 - z. Suppose -2*r - j = o*j - 12, -4*r + 8 = -2*j. Solve -15 + 3 = -r*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488152475.9 plus 0.04?\nAnswer: 488152475.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 11*b**2. Let f(q) = -q**2 - 2*q - 2. Let a(u) = 2*u**2 + 5*u + 5. Let l(k) = 4*a(k) + 10*f(k). Calculate l(r(i)).\nAnswer: -242*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1861 + 4217. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2659, -10589, -23783, -42241, -65963, -94949, -129199?\nAnswer: -168713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 8*g = 320, -5*v - 394 = -26042*g + 26038*g for v.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 93, -254, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 336*i**3 - 5*i**2 + 9*i - 25. Let q(l) = -169*l**3 + 3*l**2 - 7*l + 15. Give 5*q(d) + 3*y(d).\nAnswer: 163*d**3 - 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 28.57957 - 305276962\nAnswer: -305276933.42043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5128328 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 p = 190 - 190. Let c = -10 - -8. Let w be (-66)\/(-10) - c\/5. Solve p = 4*k - 9 - w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 42*n**2 - 12*n**2.\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = -2*q. Let t(s) = s**3 + 5*s**2 + 2*s - 5. Let w be t(q). Solve 0 = -w*z + 3*y - 2*y - 8, 5*z = -y - 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 9. Let b = s - 2. Solve -12 = 2*l - b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19019 divided by -1674.\nAnswer: 19019\/1674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1591975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 457.2 + -457. Let r = -10 - -4. Let a = -3 - r. What is the smallest value in a, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*v = l - 8, l - 7 = v. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**3 - 5*g**2 + 275*g - 5. Let r(a) = 4*a**3 - 4*a**2 + 276*a - 4. Determine -4*d(o) + 5*r(o).\nAnswer: 4*o**3 + 280*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from {b: 3, l: 2, m: 5, a: 1, k: 5}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 - 3*g. Let s(q) = 2*q**2 + 2*q. Let j(r) = -2*i(r) - 3*s(r). Let o(f) = 8*f. Give o(j(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8255 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.8907352 rounded to two decimal places?\nAnswer: -48.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 49*x**4\/24 + x**3\/6 - 8*x**2. What are the prime factors of j(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-133*i**2 + 71*i**4 + 133*i**2)*(-1 + 2 - 2)*((1 - 1 - 1)*(-1 + 3 - 3) - 7 + 1 - 1) to the form q*i**4 + d*i**3 + f + r*i + c*i**2 and give q.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23542923.\nAnswer: 3, 7847641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 135 + 72 = 0. What is the remainder when 475 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 381*d + 2318. Determine l(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 - 5*q**2 + 25*q - 36. Give c(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmgm. Give prob of picking 1 g and 2 m.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00591558 rounded to 5 decimal places?\nAnswer: 0.00592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000915822 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 17*x - 4*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 340283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6571647190588 plus -4?\nAnswer: -6571647190592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 6, 182, -5, -4.\nAnswer: -5, -4, -3, 0, 6, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-3))\/8*33\/(-319)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -11. Suppose p*w = -3*f + 3 + 13, 0 = -5*w - 4*f + 13. Solve -3 = -u - 4*d, -4*d - 15 = -w*u - 0*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y. Let p(l) be the first derivative of 0*l - 47 + 3\/2*l**2. Determine j(p(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 15.3. Which is the biggest value? (a) 0.3 (b) -7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(-3\/2)*n))*n\/(n*n\/((n\/(((n**(-3\/4)*n)\/n)\/n*n))\/n)))\/(n**(1\/2))**(-37) assuming n is positive.\nAnswer: n**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 874451 - 130451. What is n rounded to the nearest ten thousand?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13879 - 20298. Which is smaller: -6420 or h?\nAnswer: -6420","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3*105\/(-5). Suppose -3*n = -b - 5. Solve -n*s - 11 + 3 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 25*r**3\/3 + r**2\/2 - 3. Let k(p) = -29*p - 26*p + 75*p - 21*p. Calculate k(o(z)).\nAnswer: -25*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, l: 2, z: 1, r: 2, h: 2, f: 5}. What is prob of sequence dlfz?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17476)\/140 - (-2)\/5. Let k = 125 + m. Is 2 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 6:36 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8519*i**3 + i**2 + 4. Let o = 8 + -10. Let n be ((-9)\/12)\/(o\/8). Let q be f(n). What is q rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 4\/15*m**5 + 0*m + 23\/6*m**3 - 6*m**2 + 0*m**4 + 0. Differentiate p(j) wrt j.\nAnswer: 32*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -3. Suppose -2*o + 5*f = -6, 0*o + k = 5*o - f. Let y(i) = 2*i**2 - 5*i + 2. Let c be y(o). Solve c*v + 2*x + 5 = -2, 3*v = -3*x + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 315, 606, 1013, 1536?\nAnswer: 2175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1.7. Let l = y + -55.3. Let f = 55.99999973 + l. What is f rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5650259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 867238.4 kilograms?\nAnswer: 867.2384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 3*r**2 - 2*r**2)*(-r**2 + 2*r - 2*r) + 4*r**2 + 6*r**4 - 4*r**2 + 217800 - 5*r**4 - 402*r - 217800.\nAnswer: -r**4 - 402*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/16129 and -8\/6477.\nAnswer: 822579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 12:50 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 3, -0.1, -2.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -55*p. Let y(b) = -4*b**2. Give y(t(i)).\nAnswer: -12100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2010, -3, -2, 4, -5, -408.\nAnswer: -2010, -408, -5, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-14 - -18) - (-15 - -41)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1131\/11 - -103. Put -1\/4, x, 0.5, -5 in decreasing order.\nAnswer: 0.5, x, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391.26863 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**7\/210 - 7*r**5\/30 + 41*r**4\/24 - r**3\/6 - 127*r**2. Find the second derivative of v(g) wrt g.\nAnswer: 12*g**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13552*-62.33\nAnswer: 844696.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -48, -128, -410, -996, -1988, -3488?\n\"Answer: -17*v**3 + v**2 + 36*v - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6))\/((-3)\/(-54)*2). Solve -2*c - 19 = o*d, 16 = -c - c - 2*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 20 = z. Let v(i) = -i**3 + 43*i**2 + 293*i + 49. Let a be v(49). Suppose -z*x + 62 + 43 = a. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 2\/11, 0.2, 0.089?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -75 - 3. Let t(f) = 39 + 6*f**2 + 0*f - 5*f**2 + f. Let c be t(0). What is the highest common factor of r and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + t - 177, 3*t - 282 + 66 = 5*r. Let j be ((-2)\/(-4))\/(r\/(-18)). Let u = 0.465 - 0.065. What is the third biggest value in j, -1\/2, u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158748 is divided by 352?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 10*j - 3. Let z(a) = 5*a**3 + 41*a + 13. Give 9*s(v) + 2*z(v).\nAnswer: v**3 - 8*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1539) + sqrt(1539) - sqrt(1539) - sqrt(1539))*4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 8) in base 3?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(((-2)\/(-8))\/(-1)). Let m(k) = 2*k - 6 + 3 - 3. Let r(o) = o**3 - 2*o**2 + 3*o - 1. Let a be r(2). Let c(l) = 2*l - 5. Give a*c(w) + y*m(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8004 and 565761?\nAnswer: 52050012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*w**4 + 26*w - 396 wrt w?\nAnswer: -12*w**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - t - 1. Suppose 4*p + m + m = 24, -4*p + 24 = -5*m. Let n(k) = 3*k**2 - 4*k - 6. Let q(l) = p*v(l) - n(l). Does 7 divide q(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2 - 886*l = 0. Calculate l.\nAnswer: 0, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-6))\/(6\/18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -3*r. Let l = 7 + r. Solve l = 5*x - 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 622 - 625. What is the nearest to -2 in 24, p, -3\/4, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56887*w = -3*u + 56891*w - 71, 3*u = w - 29 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1428 and 121268.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186979 is divided by 318.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/145? (a) -1266 (b) 1\/3 (c) -1\/12 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 7:20 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -4 - 8 - (-7 + -2) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 3*l**2 - 2*l + 2. Let m be h(3). Let i be 1\/2 + (-21)\/12. Which is the closest to 0.2? (a) i (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 4.272\nAnswer: -15.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/10)\/(-2) + -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + i = -57 + 68, 0 = -5*u + 5*i - 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 - 122. Solve 2*f - f + 5 = k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.657405 (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107641 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(3) + 2)**2 - (-2 + sqrt(300))) + 5 + ((sqrt(192) - 1*sqrt(192)) + -4)**2.\nAnswer: 2*sqrt(3) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1298458.2 months to decades.\nAnswer: 10820.485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, -0.36, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3166469 (base 11) to base 13.\nAnswer: 1201320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-1))\/((-216)\/(-72))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472698199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 0 - (-62 + 83 + -34).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 220, -19.\nAnswer: -19, -6, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1800160648 to the nearest integer?\nAnswer: 42428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/((-1)\/(70\/15)). Let s = r + -58. Let i be 264\/s + 4\/10. Solve -2*q = -i*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4400909503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380291 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 5, 0.11, 748?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(1331) + 4)*-5 + -2)*-6 + -5)**2.\nAnswer: 81180*sqrt(11) + 1213029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -27988 (c) 82 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c - 12. Let r be b(-9). Let a(l) = l - 4. Let k be a(r). Let w = 0 + k. Solve w*x = -0*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/4 (b) 0.05 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*y + 1)*(3*y**2 + 0*y**2 + 0*y**2) - 45*y**3 - 3*y**2 - 28*y**2 + 26*y**2.\nAnswer: -51*y**3 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -4*g - 16. Let k = 112 + -111. Suppose w - k = 0, 0*l - 5*w - g = -2*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29\/(-696))\/((-60)\/54*75\/100)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*(2 - (7 + -6)). Let n(u) be the first derivative of 0*u - g*u**4 + 2\/5*u**5 + 1 + u**2 - 2\/3*u**3. Let n(l) = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 + 0 = 0. Let g = 5 + -5.5. Which is the second biggest value? (a) i (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2672528727?\nAnswer: 3, 11, 29, 191, 14621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 17*a**2 + 15*a - 36. Determine m(3).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4733 is divided by 1137.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.26 and -8.248648.\nAnswer: 2.14464848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4682*r**2 - 25*r - 98. Let w be u(-42). Round w to the nearest one hundred thousand.\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1060, -1063, -1066?\n\"Answer: -3*b - 1057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 927*g*n**2 + 86*g + 182*n**2 + 3091*n wrt g?\nAnswer: 927*n**2 + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/5)\/10)\/((-12)\/300)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269, -517, -767, -1019, -1273, -1529?\nAnswer: -1787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 7*t**2 - 3*t + 2. Let k be n(6). Suppose -4*b - 6 = -18. Suppose -b*j = -k - 19. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -233?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -234 + 264. Solve -8*v + 2*v = p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/103039602 and -64\/725631.\nAnswer: 103039602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20898 is divided by 6964.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21296 + -17944. Is p greater than 3353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -52 + 199 + -53.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 255*o + 255. Let x be k(-1). Put x, 1, -2, -18 in descending order.\nAnswer: 1, x, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*c = -18, 2*c - 10 = 4*v + 2. Suppose z + h - 23 = -4*z, 4*h - 2 = -2*z. Suppose o = 5*r + 4, -3*r - 1 = -6*o + 4*o. Sort r, v, z.\nAnswer: v, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-6))\/(((-60)\/(-21))\/((-2)\/(-196)*-4)).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 1.08, 6\/7, 18 in descending order.\nAnswer: 18, 1.08, 6\/7, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -2, 62, 457, 0.\nAnswer: -5, -3, -2, 0, 62, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3493, 4, -12\/7, -4?\nAnswer: -3493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26822827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -22. Let u = 1 - 5. Let k = z - u. What is the third biggest value in 2\/7, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + -129 - -203 - (0 - -38)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636 = -o + 316. Let w = o - -326. Which is the closest to -1\/3? (a) 0.4 (b) w (c) 13\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2879828, -2879827, -2879826, -2879825, -2879824, -2879823?\nAnswer: -2879822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111111001 - -10001?\nAnswer: 1010000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 4, t: 2, e: 3}. What is prob of picking 1 e and 1 f?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -704857a?\nAnswer: 7048582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-195)*1*(90\/(-9))\/90?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.809 + -0.632. Round u to 3 decimal places.\nAnswer: 0.177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.37 + -0.63. Let n = -3.12 - -2.7. Let k = n - -0.02. Put s, -4, k in descending order.\nAnswer: k, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 4:22 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439052?\nAnswer: 2, 19, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 3*a**2 + 3*a + 3. Let j(v) = v**2 + 51*v**3 + 2*v + v**2 - 52*v**3 + 2. Let m = 13 + -8. Let x = 3 - m. Calculate x*q(p) + 3*j(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50\/33, 0.01, 5, -1, -4.\nAnswer: -4, -50\/33, -1, 0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + t**2 + t. Let w(n) be the third derivative of 19*n**6\/120 - 19*n**5\/20 - 19*n**4\/8 - 9507*n**2. Calculate -57*p(f) - w(f).\nAnswer: -76*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvv. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 9. Let h = a - -3. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - y - 2. Let c be a(2). Solve 2*p + c + 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -409 + 327. Let d = -82 - u. Which is the third smallest value? (a) -0.1 (b) d (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-15)\/((-450)\/(-888)))\/(6\/(-75)) is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 11*w - 27. Give x(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 - 590\/8. Let r be 2\/(2 - 226\/114). Let m = f + r. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 15 = -6*m + 5*x, 15 = -5*x. Suppose 0*v + 2*v - 10 = m. Let b(c) = c + 5. What is the remainder when b(v) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35186, -0.311, 7 in decreasing order.\nAnswer: 7, -0.311, -35186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0027 - -1.\nAnswer: 0.9973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r - 1. Let h be f(-2). Let v = 7 - 2. Calculate the highest common divisor of h and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3968 and 7552.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*-1*1)\/(-2*3*sqrt(588))*5.\nAnswer: 10*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 97. Let u be (-5)\/(-15) + n\/6. Suppose 3 - u = -a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1301 divide 3713716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0037563 rounded to four dps?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 4431.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2 + 16*j + 53. Is 23 a factor of p(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6574 or -117?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59841, -59842, -59843, -59844?\nAnswer: -59845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.51 - 0.09. Let j = -0.6 - s. Let o = -3 - -1. Which is the closest to 2\/7? (a) -0.4 (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119 + 114. Sort 0.16, -1, -0.5, z in decreasing order.\nAnswer: 0.16, -0.5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10526 and 278578.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 120124755 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 12:44 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.4 + -0.4. Suppose 4*i + 86 = -2*h - 42, 2*h = -3*i - 98. Let m be (-4)\/(-16) + i\/40. What is the nearest to -3 in m, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.9 - 12.89999907. Round c to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/10 + (-5)\/(-2). Suppose -2*v - 17 = -w*o, -6*v = -5*v + 4*o + 14. Let k be v\/45 + (-104)\/18. Is k at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22644456 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*(0 + -1)\/(-1). Let h = 31 - d. Calculate the remainder when (93 + (-1 - -2))\/2 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/(-60))\/((-14)\/(154\/11))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.9 in 0, -23, 0.29, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*r + 10761 - 2357. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 9:30 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + 0. Let m = -1.63 + 1.23. Which is the closest to v? (a) 0.4 (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 722743448 to the power of 1\/4, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 30660?\nAnswer: 30661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -284 - 1819. What are the prime factors of l?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -81*t - 3. Let p(o) = 7*o**2. Calculate p(v(l)).\nAnswer: 45927*l**2 + 3402*l + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -85 + (156\/(-10) - (-53)\/(-5035)*38)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k + 5. Let h be s(-4). Let u(i) = -12*i - 7. Is u(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (-54 - -23 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bubuub. Give prob of picking 2 b and 1 u.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*a**2 - 532835*a + 133210.\nAnswer: -5*(a + 26642)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4*3)\/((-14)\/28).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -53, -84, -119, -158, -201?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11588 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 23*w**2 - 1 + 1 - 8*w**2 as n*w + d + u*w**2 and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 d when three letters picked without replacement from ldldlldllll?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/423643 and 85\/8108.\nAnswer: 1694572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -730b + 274?\nAnswer: -7087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 15 = 0, 2*f - 3 = 5*f - 4*q + 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -48 - (3 + -12)) + -22\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 greater than or equal to -0.054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/2088 and -41\/754?\nAnswer: 27144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12152031479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-145)\/(-116) - 27\/28. Which is the nearest to f? (a) -5\/3 (b) -3\/8 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 29318897.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5762943723*g**4 + 92207888490*g**3 + 368841021051*g**2 + 50491440*g + 1728 = 0. Calculate g.\nAnswer: -8, -3\/43829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*u - 197*u - 196*u + 589*u + 2293*u**2.\nAnswer: 2293*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 - 106752?\nAnswer: -106782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1693 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-18) + (-169)\/9. Let g be (-68)\/51*(-7)\/((-28)\/66). Let s = r - g. Solve -p = v - s, 0 = 3*p + v - 1 - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -637235\/261 or -2442?\nAnswer: -637235\/261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 - 1.7. Sort -3\/2, 3, v in ascending order.\nAnswer: v, -3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3468970 take away -0.00608?\nAnswer: 3468970.00608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*h. Let z be -3*(2 - (3 + h)). What is the units digit of 1\/(5 + -2)*z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m + 7. Let a be v(-3). Let b be (185 - a - 2)*2. Suppose -5*o = f - 1255, -2*o = -f - 132 - b. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from {a: 5, v: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 329*a - 7836. Determine i(23).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18419 and 339.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -67138950.9 from -8.\nAnswer: 67138942.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2736) + sqrt(2736)*-1*3).\nAnswer: -144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16 - -10) + 1 + 1. Suppose 2*k - z + 13 = -0*k, -50 = 5*k + z. Let g = i - k. Calculate the remainder when 12 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119 + 119.112. Let v = s + 0.888. Which is bigger: -0.71 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 389.267 from 0.33.\nAnswer: -388.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 2*y**2 + 0*y**3 - 5*y**2 - 4 + 3*y. Let o be c(3). Let w = o - 3. What is the highest common divisor of 6 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqoqbbhq. What is prob of picking 1 o and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/62)*g*g\/g**35 assuming g is positive.\nAnswer: g**(-2045\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17559.3 and 9.\nAnswer: 17568.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2360953, -2360940, -2360929, -2360920, -2360913?\n\"Answer: -s**2 + 16*s - 2360968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*n - 1227 = 0. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62825518941366 + -8.\nAnswer: -62825518941374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + (sqrt(2448) + -2 + sqrt(2448) - sqrt(2448)) + sqrt(2448) + sqrt(2448)*-1*4 + -4)**2.\nAnswer: 432*sqrt(17) + 9873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1429*n**2 - 480*n**2 - 475*n**2 - 479*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 a when three letters picked without replacement from {a: 1, p: 6, x: 5, y: 1, o: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367687744?\nAnswer: 2, 181, 31741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3380319619.\nAnswer: 181, 3167, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 354*g**2 - 1568*g + 1920.\nAnswer: 2*(g - 15)*(g - 1)*(g + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.95*1382.\nAnswer: 2694.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1402 divided by 4\nAnswer: -701\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1060348 - -5.\nAnswer: 5.1060348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*z**5 - z**4 - 14*z**3 - 57657*z**2.\nAnswer: -1980*z**2 - 24*z - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -4 - -3) + -2. Suppose -40 + 8 = 4*h + 5*m, -4*h = -i*m + 64. Calculate the remainder when (-5)\/(((-2)\/(-2))\/h) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-670)\/3)\/((-7)\/(-1050)*-10). What is the highest common factor of 50 and w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 4)*(0*z + 0*z - 2*z) + 2 - 2 - 2*z - 3*z + 3*z - z)*(-7*z**4 + 8*z**4 - 2*z**4).\nAnswer: 5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -296422676 rounded to the nearest 100000?\nAnswer: -296400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15358996459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -4.65.\nAnswer: -4.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y, 2*y - 3*y = -2*u + 8. Solve 3*q + f = u*q, 0 = q - 4*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/10725 and -40\/755909.\nAnswer: 737011275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3123001 is divided by 1561494?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 11:39 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2788 - -18564. Let f = z - 12591. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1119043*l + 3253474 with respect to l.\nAnswer: 1119043","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7*r**3 - 2*r**3 + 4)*(-1 + 7 - 2)*(-3*r - 2*r + 2*r)*(-1 - 5 - 4).\nAnswer: 600*r**4 + 240*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 12*z**2 - 2*z - 1. Calculate x(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 257 - -571. Suppose 7*x - n = x. What are the prime factors of x?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 + -17 + (11 - 12 - 10)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**8\/v)\/(v\/(v\/((v\/v**(-4\/15))\/v))))**(-6) assuming v is positive.\nAnswer: v**(-202\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 45. Let r be d(0). Let i be (-10)\/68*9\/r. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-28))\/(6\/8)*-7. Let h be y\/(42\/(-9) - -5). Suppose -h*s + 723 = -705. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*j)**(1\/45)*(j**(-24))**(3\/22) assuming j is positive.\nAnswer: j**(-169\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.167? (a) 542 (b) -2\/5 (c) 3 (d) 0 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/7, -2\/15, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 x when four letters picked without replacement from {x: 6, k: 6}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 279 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42893056 to the nearest integer?\nAnswer: 6549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 837885 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - -207. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36984 and 40?\nAnswer: 184920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + p + 5. Let u(k) = k - 1. Give -h(m) - 6*u(m).\nAnswer: -2*m**2 - 7*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 17*w**2 + 8*w + 8. Let f(p) = -11*p**2 - 5*p - 5. Let o(u) = 8*f(u) + 5*n(u). Let v(z) = 7*z**2 - 13*z**2 + 5*z**2. Give v(o(g)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 + 99. Let d(x) = -k - 3 + 9 - 9*x. Determine d(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 316*h. Let s(f) = -163370*f. Calculate 1550*j(z) + 3*s(z).\nAnswer: -310*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3192 and 328125.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73598?\nAnswer: 2, 7, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.45 - -3413878.1\nAnswer: 3413881.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6779 - -112939. Suppose -18*h + 34*h - a = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000625410952 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000185263 rounded to 7 decimal places?\nAnswer: 0.0000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.43 + 0.4. Let d = 2.97 - p. Which is the closest to -1? (a) d (b) -0.4 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 249 = 5*y, 2*y - 240 = -2*c - 2*y. Suppose 0 = 9*u - c - 58. Suppose x - 123 - u = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108379993 - 0.036\nAnswer: -108379993.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7311*y**4 + 219*y**3 + 6*y**2 + 42930539*y?\nAnswer: 87732*y**2 + 1314*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/21*-6 - (3 + (-3)\/3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*c + 4*c + 8*c to m + z*c and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 2*z + 1\/42*z**4 - 146\/21*z**3 + 5329\/7*z**2 - 2. Let h(b) = 0. What is b?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**5\/80 + a**4\/48 - 3*a**3\/8 - 9*a**2\/8 - 7*a - 4. Suppose r(q) = 0. Calculate q.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 52.3. What is the nearest to -0.5 in -1, 2\/13, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*y - 48 = 0, -i + 6 + 10 = -3*y. Solve -5*t - q + 30 = 2, 2*t + 2*q - i = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 4:36 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2439)\/(-1084)*(-408)\/(-18).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43 - 120*y - 115*y + 234*y)*(0 + 2*y + 0) to the form i*y**2 + r + z*y and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -564554 = -3*k + 117253. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, 0, -2, 10 in increasing order.\nAnswer: -2, 0, 2, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 8. Let q be k(5). Suppose q*y = -3*y + 2*y. Let w(j) = y - 28*j + 0 - 3*j. Let t(n) = 2*n. Determine t(w(c)).\nAnswer: -62*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = 0, -4*h - h = 3*r - 324. Let f be 79\/(-24) - (-11)\/h. Let s = -149\/40 - f. What is the second smallest value in 3\/7, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + j)*(3*j + 2*j - 2*j)*(-4*j**3 + j**3 + 4*j**3).\nAnswer: 3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r**2 + 7*r**2 + 15*r**2 + (-5*r + r + 2*r)*(2*r + 2*r - 2*r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1230269\/187 + 6579. Which is bigger: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 5:22 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 2)\/6*(0 + -478). Let r = l + -136. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7851 + -4713. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*n - 91 + 307. Suppose 0 = 5*v - 0*v - 60. Solve -v = -5*f + n*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and -1.445.\nAnswer: -2.4565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.224258 micrometers?\nAnswer: 0.004224258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 less than 115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 2*d**3 + 2*d**4)*(9*d + 8*d - 10*d) - 2*d**5 + 2*d**5 - 2*d**5 + (-d + 0*d - d)*(2*d**4 - d**4 - 3*d**4).\nAnswer: 16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 153*b - 153*b - 12*b**3 + (-2*b - 2*b - b)*(3*b**2 + b**2 - 3*b**2) - 2*b**2 + 2*b**3 + 2*b**2.\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:46 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8929 is divided by 62?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 c when three letters picked without replacement from {d: 7, c: 5}.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20202 + -211222102?\nAnswer: -212020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -110 + 13*a + 61*a - 72*a - a**2 as w*a**2 + m + d*a and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 204*n + 21211. What is s(-100)?\nAnswer: 811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 75*r**5 - 4025*r**4\/4 + 11440*r**3\/3 - 1690*r**2 - 382. Let v(g) = 0. What is g?\nAnswer: 0, 1\/3, 26\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122 - 115. Suppose d = 9*k - 10*k. Is -7 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 11:35 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2591 - -1.25. What is g rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*k - 8, -4*q + 16 = -2*q + k. Let p = 8 - q. Solve -p*l + 3*l + 2*g = -12, -g + 8 = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r + 16. Let v be g(-7). Let c = v - -21. Suppose -l = -c*l + 12. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**5\/2 - 124*d**4 + 4619*d**3 + 78956*d**2 + 287113*d\/2 + 69344 = 0.\nAnswer: -11, -1, 64, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l\/(l\/l**(-4\/9)))\/l**(4\/7))**(-4\/3))**(-44))**(-4\/19) assuming l is positive.\nAnswer: l**(704\/3591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 114*f**3\/17 + 530*f**2\/17 + 156*f\/17.\nAnswer: 2*f*(3*f + 13)*(19*f + 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7506575641 - 7506575563.99999939. Let w = 77 - o. What is w rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1675 divided by -5\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 9:37 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**3 + 17435*c**2 + 15259800*c + 105966000 = 0?\nAnswer: -1740, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 4 (b) 2 (c) -0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -34 - (-211 + 236 - (-2 - -18)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/(-7))\/(3 + -9 - 2176\/(-357)). Solve x*s + 330 = 60 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -115\/3. Let z = -17 - -20. Let m = -4 + z. What is the second biggest value in -4, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1478657, -2957314, -4435971, -5914628, -7393285?\nAnswer: -8871942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 + 4\/(8\/(-8)*-2). Let x(g) = -g**3 - 7*g**2 - 8*g + 1. What is x(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 449*s = -452*s + 44, n + 3*s - 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 60150000 to the nearest 1000000.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -35374 to the nearest 1000.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 105060504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -701677008 + 7.\nAnswer: -701677001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 bigger than 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2434561 divided by 4.\nAnswer: 2434561\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 - 105. What is the biggest value in a, 4, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 5:45 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/7, -0.6, 27, -4 in descending order.\nAnswer: 27, 2, 1\/7, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.006 - -529.006. Which is the closest to -0.08? (a) -0.5 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/24*(-6)\/(-1)*72\/12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -208 + 215. Let u be f\/(98\/36) + 3\/7. Suppose 2\/7*g**2 + 8\/7*g**u - 8\/7 - 32\/7*g = 0. Calculate g.\nAnswer: -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 696803.2 millilitres to litres.\nAnswer: 696.8032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1853, -2203, -3123, -4889, -7777?\nAnswer: -12063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 370, 736, 1090, 1426, 1738, 2020, 2266, 2470?\n\"Answer: -l**3 + 373*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19360428 rounded to 5 decimal places?\nAnswer: -0.1936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 97 = 2584. Let l = -829 + f. Solve l = -2*q - 3*q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*f**3*v**3 - f**3*v**2 - 4775*f**3 + 5298*f*v**5 - 16*v**2 wrt v?\nAnswer: 42*f**3 + 317880*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 3*a**2 - 6*a + 2. Let n(i) = -3*i**3 + i**2 + i + 1. Let y be n(-1). Let s be j(y). Is 254\/8*(-2 - s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -6. Let p be (-2)\/(-7) - b\/(-21). Let d(g) = -g - 2. Let y be d(-2). Is y less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (10\/15)\/(4\/(-6)). Let i be (6\/v)\/(-4 - (-1209)\/300). Let k = i - -59. Solve 2*p + p + k = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = n - 3. Let q = n + -39. Calculate the least common multiple of (q\/(-10))\/(6\/20) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 35024?\nAnswer: -35029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 48*p**2 - 175*p - 2790. Give n(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h - 2327 - 608 = -2926*h + 2953 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 2*n + n)*(-187*n - 232 + 472 - 242).\nAnswer: -1122*n**2 - 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2306 is divided by 287?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 + 5*w**2 - 12*w + 6. Let u be h(4). Suppose 6*k = u + 50. What is the greatest common divisor of k and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46610 + 53.4625\nAnswer: -46556.5375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 2*g + 16, -432*d - 3*g - 25 = -415*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u. Let r(o) be the second derivative of 73*o**3\/6 - 62*o + 1. Calculate w(r(k)).\nAnswer: 292*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.174 - -4.374. Let h = -1.8 - n. Which is the second biggest value? (a) h (b) 1\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15336 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -21*b**4\/5 - 31*b**3\/10 + 1599*b**2\/5 - 6731*b\/10 + 189 = 0.\nAnswer: -10, 1\/3, 27\/14, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2145814 rounded to two dps?\nAnswer: 5.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 2:32 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(153) + -1.\nAnswer: 3 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Let n be -3*(1 + 11\/(-3)). Solve 12 = 4*u - n*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.92 + 0.08. What is the nearest to 2\/3 in 2\/9, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 - 138 = -104*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-166.\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 28?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -675*v + 5073 = -5052 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530642 is divided by 16522?\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176411 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1 - 4 + i**2 - 7 + i. Calculate the remainder when 59 is divided by l(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/378 and 89\/11802.\nAnswer: 106218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 21. Find the second derivative of 4*q + 10 - 10 - p*q**3 wrt q.\nAnswer: -42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -4. Let h = -6.97 - -2.97. Put 2, h, s in increasing order.\nAnswer: h, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -16. Suppose k = 5*d + a, -2*d + 6 = 2*d + a. Calculate the smallest common multiple of d and 2*(-2)\/(2 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - o - 3*s + 49, 62 = 5*o + 4*s. Let m be 77\/4 + 6\/8. What is the highest common factor of o and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m. Let k = 8\/13 + -83\/156. Let s(t) be the third derivative of 0 + 0*t - k*t**4 + 0*t**3 + 2*t**2. Calculate n(s(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135 - 132. Let b(v) = -4*v**2 - 4*v - 6. Let k(h) = -7*h**2 - 9*h - 11. Let u(r) = w*k(r) - 5*b(r). Give u(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*i = -488, -3*i - 2*i = -15. Solve 24*t + r = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15869\/13 or -1222?\nAnswer: -15869\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 4*p**2 - 3*p. Let u be a(2). Suppose -3*g - 2*w = 0, -3*w + 7*w + u = -5*g. Solve -g*d = -7 + 1, 0 = 2*i - 2*d + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55552 and 160704.\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 - 62 + 19*x**2 + x + 31)*(-x + 3*x + 2*x) to the form j*x**2 + f*x**3 + s + c*x and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n + 4. Let g be d(-2). Solve g = 4*w - 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -4a1bec5?\nAnswer: 4a1bec0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(198\/756*(-6)\/(-33)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 57 = -3*j + 4*j, 6496 = 5*j - 3*s + 6421 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhu when three letters picked without replacement from {h: 1, c: 2, v: 4, k: 1, u: 4, d: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/((66\/(-60))\/(-11)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 - 13*b**2 - 5*b + 11. Is g(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7442*n + 1118 = -7416*n for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 25 + -9 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 8*x + 14. Let p be (-1)\/7 - (-116)\/28. Give n(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1739.424 to the nearest 10.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 - (-3 - (-42 + -31)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l. Let a(n) = -227 - 5*n + 6*n - 8*n + 15*n - 7*n. What is a(g(v))?\nAnswer: -v - 227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 13 = 3*n - 27, 4*n = -5*s + 28. Let h(r) = -3*r**3 + r + 1. Let i(v) = v**3 + v + 1. What is n*i(y) - 2*h(y)?\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29\/3 + 10. Let s be (-14)\/(-68)*20\/35. Let m = -5735 + 5734.8. What is the second smallest value in 3, s, m, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-669)\/(-4))\/((-1086)\/(-198376))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 3*y - 2. Let s be k(3). Let o be (s - -5) + 1*-3. Let r(b) = b**3 - b + 5. Give r(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7194 - -2?\nAnswer: -7192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2448))*4 + 1*sqrt(2448)*-3)**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.024111 and 525.\nAnswer: 12.658275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8299275013 to two decimal places.\nAnswer: 1.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(1\/4)*y)\/(y*y\/(y\/(y\/y**(-8))*y)))\/(((y*y**(-2))\/y)\/(((y**(-1)*y)\/y)\/y*y)) assuming y is positive.\nAnswer: y**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 253615028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 173 + 23 = 0. Suppose -5*q + 41 = 3*l, -2*l - b = -4*q + l. Let r(n) = n**3 - 3*n**2 - n + 2. Calculate the remainder when r(5) is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (40\/16)\/(10\/8). Let r = 0 - 0. Solve r = 5*z - 5*s + 40, 4*z + 4*s - g*s = -8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**8*y**(7\/4)*(y*y\/(y\/y**0*y*y))**(1\/34) assuming y is positive.\nAnswer: y**(661\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1792\/182 + -17 + 7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 12:46 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2408418704 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*h + 7*h + 98 = 0, -2*p + 47 = h. Let t(o) = -o**3 + 9*o**2 - 12*o + 3. Let c be t(7). Solve d + c = p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -16. Let m = c - -6. Let z = 0 - m. Solve 4*j + 3*d - 32 = z, -7*d + 15 = -j - 2*d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 + (46 - 86) + (1 + 0 - 12) + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 260*q - 1624.\nAnswer: -4*(q - 58)*(q - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + -12. Let h = 34 + f. Suppose 0*y + 44 = 2*y. What is the smallest common multiple of y and h?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -834, -2719, -5838, -10173, -15706, -22419, -30294?\nAnswer: -39313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 1:17 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 85*o**4\/3 + 393*o**3 + 4*o - 5. Find the second derivative of k(g) wrt g.\nAnswer: 680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**4\/5 - 25134*j**3\/5 + 78952172*j**2\/5 + 79027584*j\/5 - 157954624\/5 = 0.\nAnswer: -2, 1, 6284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2293 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h = -27*h, 2*i + h = -40. Let w(c) = 15*c + 304. Calculate w(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18884 in -1\/6, -1.1, -7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = -4. Suppose 5*d = -5, 2*m + q = -2*m - d. Suppose -44 = -4*t - 4*h, -5*h = 3*t - 0*t - 45. Solve m*x - t = 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.51 - 0.41. Let r = -0.1 - 0.9. Which is the closest to -1? (a) d (b) r (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 484008575, 968017150, 1452025725, 1936034300?\n\"Answer: 484008575*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1037*p + 18 = 1034*p. Calculate the remainder when 163 is divided by (-1)\/((2\/(-136))\/((-3)\/p)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 197715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-1326)\/16)*3\/4.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 2*s - s)*(307 - 150 - 140 - 346*s - 133).\nAnswer: -346*s**2 - 116*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, p: 3, b: 11, x: 2}. What is prob of picking 3 b?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.4 - 2.6. Let t = l + 14. Which is the second smallest value? (a) -4\/3 (b) -5 (c) t (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012187 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 12:09 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 92 = -n. Let c = n + -263. Let s be 6\/4*c\/(-9). What is the highest common divisor of 20 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1178*u**2 - u - 1. Let l = -36 + 12. Let r be -4*2\/(l\/(-9)). Let b be k(r). What is b rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218 = 41*z - 177 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/11 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1872 + -1872.3195. What is l rounded to three dps?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -5)*1\/(-2). Suppose d = o + 4 - 2. Let c = o - -4. Solve 0*z + 2*z - c = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h + 180 = 37*h. Suppose -3*i - h = 3*t, -3*t + 4*i = t + 80. Calculate the common denominator of (-12)\/t + (-154)\/(-30) and -19\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 14*g**2 - 12*g + 35. Let t be d(13). Suppose 0 = 3*h - 2*b - 308, t = -4*h - 4*b + 492. List the prime factors of h.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5589150*n**2*x**3 + 7367277*n**2*x + 2*x**4 wrt x?\nAnswer: -33534900*n**2*x + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 7:13 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 15) in base 16?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*l = 0. Suppose 0 = -3*j + 3 - l, -5*j + 3 = -x. Does 21 divide (126\/(-8))\/(x\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -59351 divided by -9148\nAnswer: 59351\/9148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, b: 15}. Give prob of sequence bub.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 8 = 5*p + 4*n, -5*p - 4*n + 20 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 652\/2013 - (-118)\/(-649). Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q. Let u(v) be the first derivative of 5*v**2\/2 + v + 107. Calculate u(g(x)).\nAnswer: 20*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12622 is divided by 258?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 139*i**2 - 279*i**2 + 141*i**2. Let x(s) = 33916*s**2 - 3058*s. Let b(f) = 133*f**2 - 12*f. Let u(a) = -1529*b(a) + 6*x(a). What is u(z(t))?\nAnswer: 139*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 47 + -4c2?\nAnswer: -47b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3638 + 1809 - 1539*o + 1830.\nAnswer: -1539*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - i + 2*i)*(1 - 1 + 2)*(-3*i + 3*i - i)*(-2*i + 1 - 1).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -32013132 (base 4) to base 12\nAnswer: -29566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2949654 is divided by 3372?\nAnswer: 2526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7779 is divided by 7779?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 560 and 5516.\nAnswer: 110320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 11*q + 6. Let y be n(11). Suppose y + 44 = 5*p. What is the lowest common multiple of 58 and p?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 11447*j + 25*j**3 + 11447*j.\nAnswer: 25*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 9. Let k be 3 - 0\/(-3 + x). Suppose -12 - 8 = -2*y + k*r, 5*r + 24 = y. 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 j = 4 + -15. Let v(k) = -5*k**3 - 2*k**2 + 6*k + 7. Let f(d) = 9*d**3 + 4*d**2 - 11*d - 13. Determine j*v(a) - 6*f(a).\nAnswer: a**3 - 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3518 = 4*i - 29394. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840aa8 (base 14) in base 7?\nAnswer: 52616101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-269)*(-3481)\/16. Let i = g + -2\/269. Find the common denominator of ((-1148)\/(-126) - 11) + 2 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/3)*t*t*t**7)\/(t*t\/(t**7*t)*t*((t*t**1)\/t)\/t)*((t\/t**(-1)*t)\/t)**(2\/131)\/(t**(-3\/7)\/(t*t**(-4\/7))) assuming t is positive.\nAnswer: t**(45541\/2751)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 s, and 1 n when three letters picked without replacement from {s: 1, t: 6, w: 1, e: 1, b: 1, n: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 19 = 4*x. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186877 divided by -7.\nAnswer: -186877\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50636 is divided by 2808.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*f - 2, 16 = 2*f + 6. Sort z, 5, -52, 2 in descending order.\nAnswer: 5, 2, z, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3727526 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/35220 and -68\/9.\nAnswer: 105660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/7060976 and 57\/6640.\nAnswer: 35304880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13*h + 249. What is m(-18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 4:26 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3*v - 30. Suppose v*m - z = 102, 83 + 16 = 5*m - 2*z. What is the remainder when 40 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + t - 581. What is i(17)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3052941?\nAnswer: 3, 1017647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3957433209 to the nearest integer?\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w - 38. Let x be g(16). Let t = 140 - x. Solve t = -7*s + 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 4*c + 10. Let q be k(7). Let o = 27 - 28. Let t be -16 - -2 - (0 + o)*3. Is t at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**3 - 25*w**2 + 26*w - 29. Let r(o) = -o**3 - 8*o**2 + 9*o - 10. Let h(d) = -3*b(d) + 8*r(d). Is h(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -3. Let g be (2\/3)\/(y\/(-99)). Round g to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30698, 30752, 30848, 30992, 31190, 31448, 31772?\n\"Answer: i**3 + 15*i**2 + 2*i + 30680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/5743 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 4*g - 1. Let w be l(-3). Suppose -2*v - t - 4 = 1, 3*v + t = -w. Let x(d) = d**3 + d + 3*d**2 + v - 3*d**3 + 4 + 3*d**3. Calculate x(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534660 divided by 38190?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6218 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) 0.0626 (b) -1\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y**3 + 3*y**2 + 3*y. Calculate i(-2).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)*-5 - sqrt(27)\/sqrt(81)) + 0)**2 - (-5 + ((0 + sqrt(363))*-3)**2).\nAnswer: -7670\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 928226 and 1235?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, v: 2}. What is prob of picking 1 r and 1 v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 19, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1381*f**2*n**3 - 12*f**2*n + 22707*n**3 wrt f?\nAnswer: 2762*f*n**3 - 24*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 886059 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-13))\/(3\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -15*s**2 - 396*s - 37. Give z(-31).\nAnswer: -2176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1137*c + 2551*c - 4494*c to m*c + g and give m.\nAnswer: -3080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*u - 1. Let m = 8 - 3. What is the highest common divisor of m and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 809390, 809398, 809406, 809414, 809422, 809430?\n\"Answer: 8*d + 809382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 - 2230132214569.\nAnswer: -2230132214650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**5\/3 + 178*d**4\/3 - 5396*d**3\/3 + 59044*d**2\/3 - 102602*d\/3 + 48778\/3 = 0.\nAnswer: 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -98, -774, -2620, -6224, -12174?\n\"Answer: -98*p**3 + 3*p**2 + p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*t + 45, -2*t = -4*h - 5*t + 8. Suppose 0 = h*c - c - 84. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10127465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*t = 2*y + 240, -5*t + 117 = y. Which is greater: 120 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -8 + 4. Suppose h*y = 4*y - 4. Suppose -35 = -3*k + 4*t - y*t, -4*t + 29 = 5*k. What is the greatest common factor of 72 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1016404992 to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 19 (b) -1 (c) -1.178 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154658 and 71706077?\nAnswer: 1003885078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -79 + 1?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-459)\/(-306))\/(6\/(-5)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -34*t - 405. Let f be k(-12). Solve -f*c + 8 + 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 - 3) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(-2*(-3)\/(-60))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -211 - -157.9. Round a to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -300526824224 and 0.35.\nAnswer: -300526824223.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = k + 21, 3 - 6 = 3*k. Suppose -6 = -u - 4*n - 18, 2*u - 26 = 2*n. Let s = u - i. Solve 12 = -4*d + 4*h, 5*d = -3*h - 3 + s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 16\/(-3))*(-87072)\/(-64) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 817\/865 + -25\/173. What is f in -h*f**2 + 0 + 4\/5*f**4 - 2\/5*f + 2\/5*f**5 + 0*f**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2294 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.8 - 0.8. Let f be 0 - ((-16)\/(-28))\/(16\/(-56)). Let x be (-6)\/4*(-22)\/15 - 3. Which is the nearest to f? (a) 4 (b) x (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-204)\/(-1326) + 48\/26. Suppose 5*p - r = -j*r + 326, 4*p = -2*r + 256. What is the greatest common divisor of 1188 and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10253.28 and -35.\nAnswer: 10218.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6154 - -6153.6481. Let q = o - 0.80538. Let a = 1.16 + q. Round a to four dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**4\/7 - 2308*f**3\/7 - 42512*f**2\/7 - 57488*f\/7 + 303552\/7 = 0.\nAnswer: -558, -17, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 d, and 1 v when four letters picked without replacement from {x: 5, v: 8, d: 2}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*x = -160, -7*h - 3*x + 176 = -2*h. Suppose 2*t - 24 = 4*o + 110, -4*t + 258 = 2*o. Calculate the remainder when t is divided by h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.046 - -22. Let o = -1.046 - i. What is the closest to o in 1, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -671827684380.\nAnswer: -671827684380.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4983400 rounded to the nearest 10000?\nAnswer: 4980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**3 + n - 2. Let g be (-2 - (-2 - 1))*1. Let m be c(g). Suppose 0 = -m*w + 5*w - 20. Calculate the lowest common multiple of w and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 7:40 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/sqrt(4))\/sqrt(2)*-4*-6)\/(sqrt(640)\/sqrt(5) + sqrt(2) - sqrt(2) - 3*sqrt(162)).\nAnswer: -24*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12500 (base 7) to base 10.\nAnswer: -3332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 13*x = -6*x + 124. Solve -r + 8 = -4*c, -70*c + 66*c + 4*r = -x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 5*z**2 + z + 2. Let u be q(-4). Let f(r) = r**3 - 14*r**2 - 4. Determine f(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109563?\nAnswer: 3, 59, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.24 (b) -0.19 (c) -2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**3 - 2*j**2 - 2. Let i(r) be the third derivative of 7*r**6\/40 + 3*r**5\/20 + 3*r**3\/2 - 2*r**2 + r. What is -2*i(y) - 9*q(y)?\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 291434712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 106 = -16. Suppose 3*d = 7*d. Suppose d = -3*h + 3 - c. Let x(j) = -j + 3. Calculate x(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 19*l - 11. Suppose 30 = 5*m - 4*u, 0*u + 2*u + 12 = m. Let b(w) = -4*w - 2. What is m*h(t) - 11*b(t)?\nAnswer: 2*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (3 - 13) - -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*n**3 + 24*n**3 - 76*n**3.\nAnswer: -367*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 87666.\nAnswer: 87668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1105 and 0.035979?\nAnswer: 1104.964021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60287\/82416 - -4\/1717. Let n = -2695\/34 + 15779157\/199070. Let u = 427427\/35130 + n. What is the common denominator of r and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m = 3. Let o be -5 + (-42)\/(-6) - (m - 2). Solve o*p + 11 = 6*p - 4*h, -4*p = 2*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/14, 0.4, 1\/8.\nAnswer: 1\/8, 0.4, 15\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1736, -1401, -1066, -731, -396?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + p**2 - p - 23. Give x(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 40. Suppose 0 = b - i*b + 75. What is the smallest common multiple of b and 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*n + 119 = 0, 4*u + 2*n = 675 - 157. What are the prime factors of u?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42305 is divided by 481.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30832732 divided by 30832732.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j - 2*j)*((7 - 6 + 7)*(3*j - 4*j + 0*j) - 2*j - j + 5*j + (-2*j + 5*j - j)*(1 - 2 - 1) - 3*j + 0*j + j).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -15*r**2 + 13. Let t(c) = -7*c**2 + 6. Let p(s) = -41*s. Let v be p(1). Let y be 1\/4 - v\/(-4). Let i be 6\/15 + 134\/y. Give i*t(b) + 6*q(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 4:03 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -7. Suppose -b*o = -0*q - 3*q - 6, -8 = -3*o + 5*q. What is the nearest to -3 in o, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61 in 5, 2\/11, 4\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 935?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/14)\/((((-24)\/8)\/(-3))\/((-882)\/7)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1926\/(-56))\/(1\/4). Let y = 137 + x. Put 0.1, y, 4 in decreasing order.\nAnswer: 4, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7196, 7198, 7200, 7202, 7204, 7206?\nAnswer: 7208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f**2 + 22*f**2 + 21*f**2 - 69*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 4:48 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 6*n**3\/5 + 274*n**2\/5 + 698*n\/5 + 86 = 0?\nAnswer: -43, -5\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 0*o**2 - 92*o + 1\/14*o**7 + 0*o**3 + 29\/4*o**4 + 0*o**6 + 3\/20*o**5 + 1. What is the third derivative of c(z) wrt z?\nAnswer: 180*z**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 24. Let i be x(21). Is ((-182)\/(-21))\/((-1)\/i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.75 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkq when three letters picked without replacement from {f: 3, c: 2, k: 7, j: 1, w: 2, q: 3}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**3 + 109*g**2 - 41*g + 121. What is j(36)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -847 - -1167. What is the greatest common factor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -298*l*w**3 - 36500867*l*w**2 + 4288*w**3 wrt w?\nAnswer: -1788*l + 25728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2768)\/(-519)*666\/(-185)\nAnswer: -96\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-6))\/(((-28)\/(-441))\/(9\/(-42)))\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 595 = -3*l, 3*l - l - 4*o = -104 + 398 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 1033?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1872) - (sqrt(1872) - (sqrt(1872) + 2 + sqrt(1872) + (2*sqrt(1872) - sqrt(1872)) + sqrt(1872)))) + 3)*2)**2.\nAnswer: 17280*sqrt(13) + 1079172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-984 + 214 + 242 + z)*(z + 6*z - 3*z) in the form j*z + v + p*z**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -115639313, -115639317, -115639319, -115639319, -115639317, -115639313, -115639307?\n\"Answer: p**2 - 7*p - 115639307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = -5*o + 5*k, 0 = 3*o + 4*k + 331 - 70. Let v = -80 - o. Which is the nearest to 0.1? (a) 1 (b) v (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258072 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1936 + -1939. What is the nearest to 4 in -0.4, 36, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2491199 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4140 = 40*z. Suppose 0 = 123*x - z*x. Let t(y) = -5*y - 6. What is t(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**2 - 27*b - 26. Let u(s) = 5*s**2 + 27*s + 25. Let f(w) = -3*u(w) - 4*x(w). Let h be f(-26). Solve 0 = h*k - 7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 at least 62061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32261946.12 and -67.92?\nAnswer: 32262014.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -b, -3 = 9*b - 9*b + 3*j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 - 3*t**3 - 25*t**2 + 21*t**2.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -28, -1 in descending order.\nAnswer: -1, -28, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77) + (sqrt(77) - -3*sqrt(77)*-4))*4*-2)\/((sqrt(7) - -5*sqrt(343) - sqrt(7))*2*-5).\nAnswer: -36*sqrt(11)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.25 plus -0.008?\nAnswer: 8.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-7)\/(f**(-21)*f) assuming f is positive.\nAnswer: f**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*h = -46*h. What is the hundreds digit of (-6 + h)*8643\/(-86)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 30*v**2\/7 - 24*v\/7.\nAnswer: 3*v*(v - 2)*(7*v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l + 3. Let y = -47 + 48. Let f(d) = 74*d - 5. Let n be f(y). Let u = n + -66. What is a(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -21*f + 120. Let m(b) = 11*b - 61. Let a(r) = 7*m(r) + 3*s(r). Let i be a(5). Solve n - 8 = -i*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 1. Suppose 0*d - 5*r = 3*d - t, -5*d = 4*r - 23. Calculate the lowest common multiple of 4\/(-6)*2*-3 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -32*a**3 + a**2 - a + 1. Let h(v) = -v**3 - 6*v**2 + 8*v + 8. Let u be h(-7). Let o be f(u). Does 8 divide 2\/2 - (o + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911 is divided by 422?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000024143 to 7 dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - u**3 + u**2 + u**3 + 1 + 0 - 2*u**3 + 59*u as s + q*u**3 + m*u + g*u**2 and give m.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1288 and 1288?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 6\/7*n**2 + n**4 - 23\/7*n**3 + 0 + 0*n = 0.\nAnswer: 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -92*x**3 - 2*x**2 + 1. Suppose 11 = 5*v - 2*o, -4*v - 2*o - 2*o = 8. Suppose g + v = -0*g. List the prime factors of c(g).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 110001111111001?\nAnswer: -110001111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:37 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61874?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71501.\nAnswer: 127, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -44?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26284270 is divided by 3754892.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102905418*g**2 - 5995545*g + 19 wrt g.\nAnswer: 205810836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -7*m**2 + 26*m - 6. What is the derivative of f(x) wrt x?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {w: 8, h: 5, j: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-255 - -149) + (3 - 11) + (7 - 8)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*f**2 - f**4 + 8*f**3 - 3*f**4 - f**3 + 5*f**3 - 32*f = 0. Calculate f.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**2. Let z(p) = -115*p**2 + 103*p**2 + 1 - 1. What is v(z(u))?\nAnswer: -432*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2, -325, -2\/11, -2\/9, 28?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4 - 6884*y**3 + 7900536*y**2 - 3025900700*y + 3018007046 = 0. Calculate y.\nAnswer: 1, 1147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -98*q*t**4 + 2*q*t**2 - 3058*q + 166*t**4 + 566 wrt t.\nAnswer: -392*q*t**3 + 4*q*t + 664*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 0*x - 2*x + 52*x + 52*x - 59*x + (4*x - 3*x + x)*(3 + 3 - 4) + 2*x - x - 2*x + 4 - 4 + 3*x + 4*x - x - x.\nAnswer: 50*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184927 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56007 or 0.1?\nAnswer: 56007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkk. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -322 by 2.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34.55 + -1.45. Let v = u + 36.0082. What is v rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmgmmmqgm. What is prob of sequence mmg?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y - 2*y + 4*y)*(3*y**2 + 1 - 6*y**2 + 7*y**2) to s*y + n + j*y**2 + z*y**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 197*n. Let j(v) = -4*v**2 - 66*v. Let m(b) = 5*b**2 + 88*b. Let p(u) = 4*j(u) + 3*m(u). Give s(p(i)).\nAnswer: -i**4 - 197*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 2*y + 6. Give r(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 94?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8351.254t?\nAnswer: 8351254000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 193*h + 997. Calculate s(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 63?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 333660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 15 = -3*h. Suppose 36 = h*m + 2*y, -m + 15 = y + 4. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-109)\/(1744\/(-12)))\/((-48)\/(-9088)).\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -122, -204, -306, -434, -594?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*t - 4 = 239*t, 3*y - 72 = 3*t. What is the remainder when 88 is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2077 is divided by 186.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3447 or -31024\/9?\nAnswer: -3447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 26014166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 76994514 a multiple of 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.1 (c) -2\/5 (d) 0.07 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 46*y + 68. Give i(-45).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*r**3 - 4*r + 4*r + 2118*r**3.\nAnswer: 1861*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -259, 0.2, 2537.2 in increasing order.\nAnswer: -259, 0.2, 2537.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*i - 438*i + 107*i - 137*i + 115*i.\nAnswer: -454*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 + 2*a. Let c(f) = -2*f**2 - f - 1. Let o(h) = -5*c(h) - 4*g(h). Let r(d) = -d**2 - 11*d - 4. Let n be r(-11). Determine o(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 728.6956ml?\nAnswer: 0.7286956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1190162.1 to the nearest ten thousand.\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 10:05 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aavveaaaeauaavu. What is prob of picking 1 e and 2 v?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a - 13*a + 23*a + 1 in the form i + r*a and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1893, -11, 1, 2, -104 in ascending order.\nAnswer: -104, -11, 1, 2, 1893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b + 16a9096?\nAnswer: 16a9069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 238896 - 229.67.\nAnswer: 238666.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((108\/30)\/(-6))\/((-216)\/(-80))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 14552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 = -60*o - 878 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxbxxbbbbxbbxxx.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 7*o**2 - 10*o - 8. Let b be a(4). Suppose b = 15*n - 18*n + 3. Solve -i - n = 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -1. Let t be (r - 0 - -2)*1. Suppose -5 - 1 = -t*z. Solve -2*y = -4*f + 8, -z*y = -0*f - 5*f + 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.712365 centimeters?\nAnswer: 0.00712365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 11:19 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xmxrxxmmx.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 180655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w + 9945. Suppose -5*k + 6090 = 2*q + 565, -3*k + w = -4*q. Let u = k + -2163\/2. What is the common denominator of u and 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 9) to base 4\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 17 - 2 + d + 8.\nAnswer: d - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 - -0.49. Sort -3, 0.3, o, -2.\nAnswer: -3, -2, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*o - 44 = 0, 1142*d + 11*o = 1143*d - 211 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -0.3, 3, -150549, 0.3, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*x - 55*x - 74 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8910 and 7164?\nAnswer: 3546180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a factor of 8347710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqqqqlq. Give prob of picking 2 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 156672937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - 6*y**3 + 5*y**3 - 22*y**4 + (-y + y - 3*y**2)*(2*y**2 + y - y).\nAnswer: -28*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -251 - -251. Which is smaller: -48 or c?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166 and 13050754?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*g - 5, -4*q = -3*g + 7*g. Let n(t) = 35*t + 36*t - 106*t + 37*t. Let b(d) = d**2 - 5*d + 1. Calculate q*n(s) - 2*b(s).\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5149.651 rounded to 0 dps?\nAnswer: 5150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/6273 and 22\/9.\nAnswer: 6273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from oppiia.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(6*a**2 - 251*a**2 + 27*a**2).\nAnswer: 436*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 21*y - 15. Calculate d(-8).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2 + 183*s + 46 = 0.\nAnswer: -1\/4, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 57.8736 at most -77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 101312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-2))\/(6\/15*51\/((-7038)\/(-230))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 2:28 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29, 64, 103, 146, 193?\n\"Answer: 2*s**2 + 29*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11694.96 rounded to the nearest 100?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/38380?\nAnswer: 3\/38380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 2*x**2 - 3*x + 2. Let b be p(4). Suppose 10*i = 9*i + b. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7903222 to the nearest integer?\nAnswer: 2811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, r: 5}. Give prob of picking 2 i and 2 r.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b**5 + 4*b**4 + 19*b**3 + 8*b**2 + 4*b - 4. Let t(c) = -c**5 - c**4 + c**3 + c**2 + c - 1. Let w(d) = -5*s(d) + 20*t(d). Solve w(x) = 0.\nAnswer: -1, -1\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1001, 1040, 1105, 1196, 1313, 1456, 1625?\n\"Answer: 13*w**2 + 988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 2 - 2653*y**2 + 1311*y**2 + 1320*y**2 - 3*y + 3*y + 2*y**2 + (-3*y - y + 2*y)*(-2 + 2 - 2*y) - y**2 + 0*y**2 + 2*y**2.\nAnswer: -15*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 4. Suppose 0 - c = v. Suppose 0 = 2*m + 2*m - 8. Sort m, v, -4 in decreasing order.\nAnswer: m, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/7 + -1. Let m(a) = -2*a - 27. Let j be m(-16). Suppose 25 = -j*d - 4*t, t - 4*t - 13 = -2*d. Is d less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnloopooonooopoptoo. Give prob of sequence ont.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -666357 at most -666357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/21 - 1096*h**2\/3 - 15338*h\/21 - 2556\/7.\nAnswer: -2*(h + 1)**2*(h + 3834)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 - 2*z - 2. Let j = 20464 - 20461. Let f(r) = -4 - 4 + 4*r + 12 + 4*r**2. Calculate j*f(p) + 5*i(p).\nAnswer: 2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ndndqqnnqddddqv. What is prob of sequence dnqv?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 461*y - 465*y - 28 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.4532171 to 1 dp.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 49, -3 in ascending order.\nAnswer: -4, -3, 0, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02779 - 0.42779. Let p = 0 - -6. Which is the nearest to -1\/2? (a) i (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-9 - -7) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100200112 (base 3) in base 5?\nAnswer: 211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o*o\/(o**0\/o)))*o)\/(o*(o**(-1\/7)*o)\/o))**(-50) assuming o is positive.\nAnswer: o**(-1450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 z when three letters picked without replacement from vvzveezevvevzz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 24 = -3*g. Let q be (-3)\/(-3*(-2)\/(-8)). Suppose 2*v + 5*w + 3 = 1, 5*v + w = 18. Solve v*x + 20 = -q*t, 3*x - g*t + 0 = 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -2*t + 22 - 9, -5*j - 30 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 8 = 70*k + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 83861 = -91*k + 59627. Which is smaller: k or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1387 = 7. Calculate the common denominator of (2\/5)\/((-4)\/p) and 70\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**6\/12 - f**5 - 7*f**4\/2 - 5*f**3\/3 + 29*f**2\/4 + 10*f - 334. Suppose r(k) = 0. What is k?\nAnswer: -5, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7.3945089 nanoseconds?\nAnswer: 0.00000000000205403025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287, -61, 519, 1627, 3437, 6123, 9859?\nAnswer: 14819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 395\/(-3160) + (-258)\/(-16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*k*x**4 - 41*k*x**3 + 31*k*x**2 - 3*k*x - 2*x**2 wrt x.\nAnswer: -840*k*x - 246*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/88 and -79\/23816.\nAnswer: 261976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -4, 0.17, 0.3?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -1\/9*i + 0*i**2 + 19 + 1\/27*i**3. Factor s(n).\nAnswer: (n - 1)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -29, -26, -7, 34, 103, 206, 349?\n\"Answer: w**3 - w**2 - 11*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10135\/462 + 291\/14. Let s = 2465\/66 - o. Find the common denominator of 2\/(-6)*(-1242)\/48 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.043 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 6778 + 6743 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**9\/t)\/t**(-15)*t**(-13\/4)\/(t\/t**(4\/23)))**(-38) assuming t is positive.\nAnswer: t**(-33079\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**10*(l\/l**(-7)*l)\/l)**13*l*l*l**(-3\/4)*l*(l*l**2*l)\/l*(l**1)**(3\/20) assuming l is positive.\nAnswer: l**(1197\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 436, 0, -4, 4, 2.\nAnswer: -4, -3, 0, 2, 4, 436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = s - 34. Suppose -257 = -5*u - s. Let x = u - 26. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -10030.8666.\nAnswer: -10032.8666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17332401 times 0.1?\nAnswer: -0.017332401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c - -19bb36?\nAnswer: 19bb18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 2*t + 8717 + 98314.\nAnswer: t + 107031","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218 = -33*l - 46 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005779 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40107 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*j + 153, -8*j + 9*j - 4*u = -41. Let a = 276 + j. List the prime factors of a.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6354119*a**2*c - 176*a*c + 382*a - 56*c wrt a.\nAnswer: -12708238*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -1\/2, 5, 0.4 in decreasing order.\nAnswer: 5, 0.4, 0, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-8))\/(-7)*2\/3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33)\/(-3)*(-7 - (-2 + -4)). Let x(t) = 2*t**3 + 21*t**2 - 23*t + 21. Let l be x(h). Calculate the greatest common divisor of 17 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2215.44 * -3.\nAnswer: 6646.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 81\/21 + 1\/7. Suppose 2*b = -w - 3*w + 14, -y*b + 12 = 4*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.10943 - -0.09057. What is the second biggest value in 16, q, -2\/3, -5, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*o - 5*o**2 - 4 + 23*o + 21*o + (0*o + 5*o - 3*o)*(6 - 6 + 3*o).\nAnswer: o**2 + 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4) + 1)*(-4)\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 508 - 261*b - 508 in the form h*b + l and give h.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 <= 376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4190*i + 25. What is the hundreds digit of g(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 2*x**2 - 4*x**2 + (-3*x - 3*x + 4*x)*(2*x + 0*x + 0*x) + 0*x**2 + 0*x**2 - x**2)*(-3469*x + 955*x - 620*x - 3435*x - 1993*x).\nAnswer: 59934*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.04, -4\/3, -1\/2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -3.36.\nAnswer: -1.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -45954, -367662, -1240888, -2941392, -5744934, -9927274, -15764172, -23531388?\n\"Answer: -45960*j**3 + j**2 + 9*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/10)\/((-35)\/(-50)). Let u = 789.9454 - 790. Let s = -0.0454 + u. What is the nearest to s in 0.2, y, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238109696?\nAnswer: 2, 3, 139, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + (1 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1277.297312 rounded to the nearest ten?\nAnswer: -1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3174185 divided by 5095\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from {g: 2, u: 4, p: 2, j: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6501?\nAnswer: 3, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 16. Suppose 2*b + p*d = -3*b - 20, -2*b + d + 5 = 0. Suppose 8*u - 109 - 755 = b. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/8 + 39*p**2\/2 - 2583*p\/8 + 6615\/4.\nAnswer: -3*(p - 21)**2*(p - 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y - 6*y + 12*y)*(0 - 2 + 0) + y + 2*y - 4*y to the form c*y + k and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 2*w**2 + 2*w. Let v(q) = -21*q**2 - 22*q**2 - 9*q + 3*q**3 - 22*q**2 + 56*q**2. Determine -2*v(c) - 9*y(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -137, -174, -211, -248, -285, -322?\n\"Answer: -37*y - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6527*v. Let x(y) = 21*y**2 - 7*y - 4. What is a(x(l))?\nAnswer: 137067*l**2 - 45689*l - 26108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(242) + -1)**2 + (sqrt(242) + (sqrt(242) - -1*(sqrt(242) + 0)) + -5 + sqrt(242) + -2*sqrt(242))**2.\nAnswer: -88*sqrt(2) + 9706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, 100, -0.2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/10 + (-2)\/10. Let k be (-1)\/(-10)*2*l. Which is the smallest value? (a) -3 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 smaller than 301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 88\/5 in -5, 8, 5082?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(14\/21)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2816825 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 17, 2.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1614 divided by 1\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 21896, -281.1 in increasing order.\nAnswer: -281.1, 6, 21896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16, 82, 196, 364, 592, 886?\n\"Answer: l**3 + 18*l**2 + 5*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - -15. What is the highest common divisor of 975 and x?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22476, 22474, 22462, 22434, 22384, 22306, 22194, 22042?\nAnswer: 21844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/7, -4, 360.99, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 35728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5420 + 3756 = 305*f + 1369 - 3478 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**5 - 25*c**4 + 30*c**3.\nAnswer: -5*c**3*(c - 1)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -517 in decreasing order.\nAnswer: -1, -3, -517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 565 - 3368. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108174771?\nAnswer: 11, 1493, 67477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11\/1 - 1) + -2. Let v(g) = 3*g + 8. Suppose -j + 244 = 227. What is the remainder when v(l) is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14533767 to the power of 1\/2, to the nearest integer?\nAnswer: 3812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/((-3)\/((-18)\/(-3))). Suppose 4*c = 10*c - g. Let q = -15 + 25. Solve -5*n = -c - q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 3*t + 17. Let p be s(-8). Let d = -8 - p. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, 9, -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 112 - 127 = 140. Let q be (4 + 6)*(-1 - -75). Suppose -4*i - q = -3*y - 0*y, -i + 745 = 3*y. What is the highest common divisor of y and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a factor of 337320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 71764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13140 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 43 + 21 = 0. Suppose 3*c + h - 88 = 0, -3*c - 16*h + 84 = -19*h. What is the remainder when c is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -820, -815, -808, -799, -788?\n\"Answer: t**2 + 2*t - 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (1 - -7) + -8 - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/90 and -43\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*1 + 2)**2.\nAnswer: 28*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -27*v**3 - 16*v**2 + 7*v - 17. Is y(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r\/r**8)\/((r\/((r*r\/r**(-8))\/r*r*r))\/(r**4\/r*r)) assuming r is positive.\nAnswer: r**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 8*m + 211. Let s be t(11). Suppose -s*v + 5*n + 3107 = 0, 2*v = 4*n + 1679 + 1423. What are the prime factors of v?\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1)**(-20)\/((h**(1\/5)\/h)\/h**(1\/8)) assuming h is positive.\nAnswer: h**(-1563\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-1))\/((-2)\/(-2)) + 5. Solve -y + t - 2*t - 2 = a, 16 = 4*y - 2*t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*q - 25*q + 10. Let p be 4\/1 - (q + 553*-1). Suppose -p = -13*b + 10*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 11:30 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*2\/(-7)*(-329)\/94?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(1\/6)\/s)\/(s\/s**(6\/5)))\/(s**(-6)*s\/(s\/s**4)*s))\/((s*s**(-2\/7))**(2\/27)*s*s**(2\/5)*s**(3\/2)) assuming s is positive.\nAnswer: s**(-1499\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, c: 3, h: 1, j: 1}. What is prob of picking 1 c and 1 h?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 2 - 2 + 2*r + r - 4*r + (3*r - 4*r + 2*r)*(1 + 2 - 5))*(-252 - 129*r + 252) - 25*r**2 - 120*r**2 - 103*r**2 as v*r + z + o*r**2 and give o.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 10. Let g = 1 - z. Suppose g*x - 3*u = 66, 2*u = 5*x - 95 - 0. What is the least common multiple of x and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1932 + -14.7138. Let x = y + 17. Let d = x + -0.09398. What is d rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/42*(-60)\/(-5)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 12*u + 10. Suppose m + 60 = 6*m. Let a be w(m). Let h be 540\/25 - ((-24)\/a + 2). Calculate the highest common divisor of h and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4352 (b) -32 (c) -0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(9\/(-36) - 403\/(-1609)). Let d = j - 3390. Is d 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 {d: 1, u: 2, g: 1, k: 1, f: 2, n: 1}. Give prob of sequence gd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 35 + 13 = 0. Suppose -10 = -q*j + 242. Is j at least as big as 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21595 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-14))\/((-4)\/7)*(-4)\/13.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(4 + 491))\/(4\/6730). Suppose 0 = 5*s - y + 3*y + 158, y + 94 = -3*s. Let a = s - j. Find the common denominator of 53\/10 and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5096\/(-1176)*11880\/780?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e0c1 + 17?\nAnswer: -e0a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, g: 1}. Give prob of picking 2 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1017 + 2011. List the prime factors of i.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 - -46 - (-3 - 30)) + (10 - (17 + -4))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1870*3\/(-528)*-8.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8107 or 24317\/3?\nAnswer: 24317\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/3)\/((-2)\/60). Suppose r = 4*j - 2*a, -2*j - 5*a = j - 88. Let h be 6336\/242 - (-2)\/(-11). What is the greatest common factor of h and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -188?\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 - 15*m**3 - 36*m**2 + 4*m + 48.\nAnswer: -(m - 1)*(m + 2)**2*(m + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -16*i - 16. Let s be v(-1). Suppose s = -2*r - 4*r + 978. Calculate the remainder when r is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1 = -u + 33, 0 = 2*u + 5*f - 4. Solve 13 + u = 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-146)\/(-1971)*(-4)\/((-4)\/3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306019 is divided by 60792?\nAnswer: 2059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -668*f**2 + 358*f**2 - 3*f**2 + 335*f**2.\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 76 = 2*q. Let p(b) = 18 + 2*b - q + 3*b. Let r(j) = -j**3 - 6*j**2 - 4*j + 4. Let t be r(-5). Calculate p(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-1)\/(-5))*(7 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2264, -4249, -6232, -8213, -10192, -12169?\nAnswer: -14144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 - 82.3. Let c = 8.095 + m. What is c rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 32*n**2. Let c(u) = 58*u - 6. Let m(i) = -99*i + 11. Let k(z) = 5*c(z) + 3*m(z). Calculate k(p(v)).\nAnswer: -224*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-6)*(-4)\/6. Suppose -19*p - 53 = -28*p - 8. Let f = 9 - 14. Sort p, f, b.\nAnswer: f, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14957?\nAnswer: 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782 = -92*f + 138 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpz when three letters picked without replacement from {p: 5, z: 13}?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 0.08301.\nAnswer: -0.38301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2995 - 1301. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 3 - 8) + -11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s**3 - 12*s**3 - 8*s**3)*(-2*s - 2*s + 6*s)*(-4 - 1 + 3)*(-18 + 2 - 11) to y*s**4 + i + m*s**3 + z*s + a*s**2 and give y.\nAnswer: -1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15300, -61292, -137944, -245256?\n\"Answer: -15330*r**2 - 2*r + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11342 + 131530?\nAnswer: 143312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**4 - 87844693*r**3 + 48190919*r**2 wrt r?\nAnswer: -72*r - 527068158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25998372 by -4333062.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 954467*n. Let o(b) = 11*b. What is w(o(q))?\nAnswer: 10499137*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w**3 + 44*w**2 + 30*w - 3600. Let h(b) = -22*b**3 - 132*b**2 - 90*b + 10800. Let i(y) = 14*c(y) + 5*h(y). Find z such that i(z) = 0.\nAnswer: -8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgqc when four letters picked without replacement from {r: 1, g: 2, v: 1, c: 1, z: 1, q: 8}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3)*4 + sqrt(756)\/sqrt(7))*-4.\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g + 6 - 3*g - 4*g + 3. Let p be v(-5). What is the second derivative of 6*z**4 - 23*z - 32*z**4 + 6*z**p wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 12:56 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (17100\/627 - 28) + (-3952)\/(-5192)\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 1. Let p(z) = -z**3 + 7*z**2 + 11*z - 1. Let r(x) = p(x) - 6*y(x). Let i(s) = -s**3 + 6*s**2 - 2*s - 6. Calculate -7*i(n) + 6*r(n).\nAnswer: n**3 + 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.052061 - -0.052. Round z to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807 = 116*n - 1049 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w + 2. Let q(t) = 14630687*t**2. Calculate d(q(b)).\nAnswer: -131676183*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3195, -3420, -3645, -3870, -4095?\nAnswer: -4320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000549 to seven decimal places.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000034052 rounded to 7 decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 2*c**5\/5 + 3*c**4\/2 - 10*c**3\/3 - 3*c**2 + 8*c + 3266. Factor p(g).\nAnswer: 2*(g - 1)**2*(g + 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/((-56)\/30) - -4. Suppose -3*o + 3*q - 780 = 0, 9*q = -2*o + 10*q - 524. Let t be (-320)\/o + (2 - 8\/3). What is the closest to t in 4, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8304 - 8301. Which is the closest to -1? (a) p (b) 28 (c) -3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-32 - 4 + 3)*(3*i - 5*i + 0*i) + 2 - 2 + i + 2*i - 4 + 4)*(i**3 + 3*i**3 - i**3).\nAnswer: 207*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 114 in -5, 4, 4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*q - 20 = 0, q = 4*p - q - 18. Suppose -p = 2*f - 33. Suppose f*m - 17*m + 276 = 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a + b + 23 = 0, -5*a - 3*b + 33 = 0. Let m be (-20)\/30 + 16\/a. Solve -m + 7 + 4*f - 4 - f**2 - 4*f**2 = 0.\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9814369 and 13295?\nAnswer: 2659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*3\/25*2\/(-3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 56035 and 56094 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*f + 166*f - 14 = 5*u, -6*f + 3*u = 15. Let h = 23 - 39. Let c = -16.26 - h. Which is smaller: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 - 111*v + 5*v**2 - 101*v - 492*v - 4 + 6 to the form i + t*v**2 + o*v and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 165. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*p - 3*p**2 - 163*p**2 - 193*p - 213*p + 605*p.\nAnswer: -166*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.86.\nAnswer: -2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*f - 45, 0 = f - 3*f + 6. Suppose 353 = j*l - 595. What are the prime factors of l?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*y**5 - 2389*y**4 + 2298*y**3 + 131921*y**2 - 853.\nAnswer: 300*y**2 - 57336*y + 13788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-114)\/21 + 5)*20\/6\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6042 and 53742.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 682 and 6?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447468 is divided by 23550.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5852 + -5819. Let m = 0.6 + -1. What is the nearest to o in 4, m, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 70*y**3 - y**2 - 15*y + 22. Let c(q) = -q**3 + q**2 - q. Let p(m) = a(m) - 5*c(m). Is p(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -6, 8 in ascending order.\nAnswer: -6, -4, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-4)*t**(-1\/16))\/((t*t**2)\/t**(-5)))**(-42\/11))**(3\/5) assuming t is positive.\nAnswer: t**(12159\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 55*s**2 + 358*s + 141. Calculate the remainder when d(-47) is divided by 976.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5\/7 + 7052*y**4\/7 - 460168*y**3\/7 - 28208*y**2\/7 + 262944*y = 0 for y.\nAnswer: -1826, -2, 0, 2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**3 - 12*o**2 + 8*o - 28. Let d be s(3). Which is the third biggest value? (a) d (b) 8.7 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35198 divided by 46?\nAnswer: -17599\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 404023 smaller than 404040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001393111153 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 27. Let n = -23 + z. Find the third derivative of -3*g**2 + 7*g**2 - 4*g**5 - n*g**5 + g**5 wrt g.\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(6\/60)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 10*v**2 - 9*v - 4. Let k be g(9). Let b = 17 + k. Suppose 0 = -5*m + 387 + b. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*-1*-2*(sqrt(500) - 5*(sqrt(500) - (-2*sqrt(500) + sqrt(500)) - sqrt(500))))**2.\nAnswer: 1152000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 46*k**2 + 10*k. Let j(m) = 2*m. Give a(j(x)).\nAnswer: 184*x**2 + 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8034304 plus -4?\nAnswer: -8034308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 5*b - 134, p - 848*b + 843*b + 143 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b - b**2 + 6*b**2 + 4*b. Let n(l) = -14*l**2 + 3*l. Let j be 0 + -1 + (-5)\/(10\/(-4)). Let d be j\/(((-25)\/15)\/5). Determine d*n(v) - 8*f(v).\nAnswer: 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 160 = 5*o + 106, 4*z = 2*o + 350. Let h = -18 + z. Let t = 44 + h. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.6 + -63.6. Let j = y - -52.05. Let v be (2 - 100\/42) + 4\/(-14). Which is the nearest to j? (a) 4 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421707724133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1018332 and -97\/509166.\nAnswer: 1018332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.6 - 0.4. Let b = -1.92 - 0.08. Let n = -1 - b. Sort n, z, -0.1 in increasing order.\nAnswer: z, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 137 + 25 = 3*n, -5*u + 246 = -3*n. Calculate the greatest common divisor of u and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + sqrt(648)*-2 - (-2*sqrt(1458) - sqrt(1458)))\/(sqrt(240)\/sqrt(10) + sqrt(54)*2).\nAnswer: 21*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69335, -5, -2 in decreasing order.\nAnswer: -2, -5, -69335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*w - 3*w + 0*w)*(1 - 4 + 5) + 14*w + 19 - 19)*(4*w + w - 2*w)*(-10 + 2*w + 10 + 14*w**2).\nAnswer: 672*w**4 + 96*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5087021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*u - 414 = -94*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egkekkgeke. Give prob of picking 2 e, 1 g, and 1 k.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19503373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025460399 to four decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + (12 - (2 - (7 + -8))) + (7 - 10)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((18\/30)\/(6\/(-4))). Put z, -6, -2 in increasing order.\nAnswer: -6, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220222100122000 (base 3) to base 6\nAnswer: 1152254430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 13. What is z(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18958604 is divided by 2106511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 9. Let y be m(-7). Let j(f) be the first derivative of -2*f**2 + 5 + 27*f - y*f**2 + 6*f**2 + f**3 + 7*f**2. Determine p so that j(p) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 693, 1567, 2791, 4365, 6289?\nAnswer: 8563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 0*i**2 + 1 - i**3 + 1\/60*i**5 + 0*i**4 + 0*i. Let a(y) be the third derivative of p(y). Let h(q) = -2*q. Determine h(a(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83342872 by 2.\nAnswer: 41671436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a - 2*a + 7*a)*(6 + 15 + a + 47)*(2 + 0 - 1)*(1 - 1 + 1) as f + y*a**2 + s*a and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.8781km in millimeters?\nAnswer: 17878100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -16*i + 54. Let q(w) = 18*w - 55. Let z(t) = 3*n(t) + 2*q(t). Let y be z(4). Suppose 0*r = -2*r - c + 2, y*r - c = 10. Solve 0 = -r*x - 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 474744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -3\/38, 0, 5, -0.3, -0.1, -711?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, 0.\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(14) - ((sqrt(28) + sqrt(112))\/sqrt(2) + sqrt(14)) - sqrt(14) - (sqrt(28)*-1)\/sqrt(2))*-2)\/((-5*sqrt(63)*-1)\/sqrt(9)*-5))**2.\nAnswer: 48*sqrt(2)\/25 + 10072\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a minute in seconds?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.33 - 24.33. Let v = -48 + 49.5. Let k = v + -1.4. Which is smaller: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799410 divided by 256?\nAnswer: 399705\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003005 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 81 = 5*g, -4*c + 29 = 45 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iipiiiip. What is prob of sequence iip?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 + 598 = 58*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 754 + 8?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1589 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*q = 223*q + 174. List the prime factors of q.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*10\/3*4\/((-40)\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 172330*z + 1403939*z + 598153*z.\nAnswer: 2174422*z + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12411 - -13?\nAnswer: 12424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*g**5 + 3*g**3 - 48*g - 4 wrt g?\nAnswer: 540*g**3 + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57969038?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + 2. Let j = 4 + r. Solve -2*g - j = -2*l - l, g - 5 = -2*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 0.01066?\nAnswer: -0.008528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 756783804?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**3\/3 - 7*g**2 + g - 3. Let y be q(-6). Suppose n = -4*m + 11, -n - 13 = -m - y. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 1617.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 164064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - v - 4. Let f be b(3). Let g be 91\/52 - 2305\/(-4). Suppose 5*t = 2*u - 606, -g = -2*u - 0*t - f*t. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0096572734 to five dps.\nAnswer: 0.00966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/5)\/1)\/(-2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/1584 in -0.3, 4, -0.4, 0.5, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 151321 = 484843. What is i rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 5 (b) 3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**1)\/w)\/w)**(1\/16))**(-1\/15)\/((w**6*w*w*(w*w**1)\/w*w)\/(w**(2\/5))**38) assuming w is positive.\nAnswer: w**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35673.\nAnswer: 3, 11, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*z**2 + 13*z + 18*z - 75*z**2 - 6*z as f*z + a + s*z**2 and give s.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285 - 533 = 638*s + 1028 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.239908 to three decimal places.\nAnswer: 1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16504, 33006, 49508, 66010, 82512?\n\"Answer: 16502*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58284 to the power of 1\/2, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/3)\/((c**8\/c)\/c)*(c\/((c*c\/(c*c**4)*c)\/c))\/(c\/(c**(5\/4)*c))*(((c\/c**(2\/13))\/c)\/(c\/c**1))\/(c**(-2\/15)\/c**2) assuming c is positive.\nAnswer: c**(439\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/3*1065\/1420*1*10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-5 - 4) - 294\/(-58). Let n = 5 - 2. Let a be (n\/6 + -1)*1. Does w = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -10*p + 4. What is the units digit of (1 + 1)*(99\/2 + p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*h - 168, 0 = 5*h - 2*f - 25 - 192. Suppose -3*i = -j + 31, 33 = 3*j - 2*j - 4*i. Calculate the remainder when h is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -108 - 15?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/28 (b) -83 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/3))**(9\/11)\/((o*o*o**(2\/3))\/o)**(8\/3)*(o*(o\/((o\/(o*o**(-2\/3)))\/o))\/o)**(-2\/33)\/(o**(2\/9)\/(o\/o**(-8)*o)) assuming o is positive.\nAnswer: o**(655\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 124.21 + -122.21. Which is the third smallest value? (a) i (b) 2\/21 (c) 3 (d) 0.3 (e) -6\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -761 + 810. What is the remainder when k is divided by 298\/12 + (-1)\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*h - 228, h + 2*q - 63 = -0*q. Let k(p) = p + 25. Let l be k(-14). Calculate the greatest common factor of l and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (265\/90 + -3)\/(1\/4). Let j = -0.18 + -8.82. Let t = -10 - j. Which is the biggest value? (a) 5 (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 423206 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4)\/(q*q*q**(2\/17)*q)*(q\/q**(-2\/5))**(2\/19) assuming q is positive.\nAnswer: q**(-11257\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 94. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*w = -7*p + 268, 3*p = 2*w + 204. Suppose 4*c - 175 = -5*t, -2*t + 4*t - c = p. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*((-1674)\/(-459))\/62.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(4*c + 1 - 1) - 4*c - 3*c + 3*c - 41*c - 7*c + c.\nAnswer: -59*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 6*a. Suppose -4*q + 112 = -a*q. Suppose -2*h = -4*r + 22, -r - 4*h = 3*r - q. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 6:44 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -41900 and -41929 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 2*m**2 + 6*m - 4. Let o be v(-3). Let j = o - 23. Suppose j = -t + 4*t - 72. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3293418?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0145 - -6.0145. Let t be ((-2)\/(-3))\/(52\/12 - 2). Which is the third biggest value? (a) -2 (b) t (c) p (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154036 and 458932?\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = -111 + 123 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*h = 38*h + 4*a + 318, 4*h - 671 = a. Calculate the remainder when h is divided by 91.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1.9. Let u = 3.93 + -281.93. Let m = 275 + u. What is the nearest to m in 4, -1\/3, w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -562, -1117, -1672, -2227?\n\"Answer: -555*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -4, 2, 11 in descending order.\nAnswer: 11, 4, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z = 9*z - 2*p + 29, 3*z - 23 = -4*p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 123*x**3 - 2*x**2 + x + 9. Let b be r(-7). Let j be (-472)\/48 - (-3)\/(-18). Is 6\/9*b\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**4\/2 - 4513*g**3\/2 + 22607*g**2 - 36184*g = 0.\nAnswer: -4523, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b + 40. Calculate q(34).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 314412 + -2?\nAnswer: 314410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 207334549 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -32*w**3 + 2*w + 3. What is the remainder when 53 is divided by u(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 + 111. Let p = -4014 - -4014. Solve -g - 3*s = 19, p*g - 4*g - k = 4*s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*u = -2654, -2140 = 5*z - u - 6548. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -240\/13 > 6\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 807 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 640 divided by 1?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/((j\/(j**1\/j))\/j))**(-9\/7)*j**(-2)*j**(-7)*(j**(-7)\/j**0)**(2\/75) assuming j is positive.\nAnswer: j**(-6173\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -14*v**2 - 451*v - 39. Calculate k(-32).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 13 + 13. Let j = -38\/3 + f. Factor -j*v + 0*v**3 + 0 - 3\/2*v**2 + 9\/2*v**4.\nAnswer: v*(3*v - 2)*(3*v + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478737393?\nAnswer: 3, 53, 79, 38113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 - 231*q**2 - 5006*q + 6424. Give w(134).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 894569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1286, 1611, 2154, 2915, 3894, 5091?\nAnswer: 6506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20876129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -73 (c) 2 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**7\/42 - 4*d**6\/3 + d**4\/6 - d**3\/2 - 210*d. What is the third derivative of i(c) wrt c?\nAnswer: 60*c**2 - 960*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*l - 7*l + 20 = 0, 0 = -5*x + 5*l - 10. Let s = x - -11. Find the third derivative of v**5 - 5*v**4 + v**2 + 5*v**s wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 0 + 3)\/1 - -4. Suppose -u*s = 5*q - 5, -2*q + s + 5 = 2*s. Is 28 a factor of ((-10)\/2)\/(q\/(-44 + 4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**7\/504 + 11*n**6\/36 + 15*n**5\/8 - 33*n**4\/8 - 9*n**2 - n. Let c(h) be the second derivative of d(h). Factor c(r).\nAnswer: -5*(r - 45)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 12*g - 2, -g = 5*y - 9779. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d**3 - 1\/9*d**4 + 0 + 1\/3*d**2 + 2\/9*d.\nAnswer: -d*(d - 2)*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**2 + 0*d**2 + 3*d**2. Let l(g) be the second derivative of 0*g**3 - 4*g + 0 + 0*g**2 + 1\/4*g**4. Give l(k(w)).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3885336993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 130 and 1264.\nAnswer: 164320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 6. Let m be 88\/104 - (-2)\/13. Let j be (-3 - -2) + -5 + m. Calculate o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*y = -112, 5*b + 2*y = -0*y + 140. Let a = 21 + b. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159113 is divided by 53010.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -604*m**2*v**2 + 1813*m**2*v - 147*v**2 - v - 1118 wrt m?\nAnswer: -1208*m*v**2 + 3626*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10469.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/24*12\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24173, 48405, 72633, 96857, 121077?\n\"Answer: -2*u**2 + 24238*u - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 + 4*m - 2. Suppose 2*y - 3*g - 9 = 5*y, -3*g - 21 = -3*y. Give p(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(1\/6))**(-17\/4))**20 assuming z is positive.\nAnswer: z**(-1105\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h. Let k = -4 - -6. Let x(n) = -n + k*n - 3*n. Let d be (-16)\/(-10) + (-4)\/(-10). What is d*x(s) + 3*r(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10435*f**2*w**2*x**2 + 3671*f**2*w*x - f**2*x - 2*f*w**2*x**2 - 6*f*x**2 wrt w?\nAnswer: -20870*f**2*x**2 - 4*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2 + 6. Let q(u) = 3*u + 2. Let c(d) = 14*d - 3*d - d + 7. Let j(l) = s*c(l) + 7*q(l). Let i(x) = 4*x. What is j(i(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is -818.119288 rounded to the nearest ten?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/579 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13749 and 36664.\nAnswer: 109992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/k**(-1\/3)*k)\/k))**(-40)\/(k**6\/k**(-3\/5)) assuming k is positive.\nAnswer: k**(101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 783966, 1, -21 in ascending order.\nAnswer: -21, 1, 783966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -242\nAnswer: 3\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 11:00 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7945801 is divided by 10455.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*1\/(-3). Which is the nearest to p? (a) 0 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from qsnnqqsqnqn?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 5*y + 36, 20 = q - 329*y + 325*y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 654 (b) 5\/4 (c) 0.8 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 20*v**2 + 30*v - 111. Let p be n(-18). Which is the nearest to 1? (a) 0.5 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5479726 centuries in years?\nAnswer: 54.79726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10442, 16420, 22398, 28376, 34354, 40332?\nAnswer: 46310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2172096.\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 104. Suppose 2*h - 5 - 1 = 0. Suppose h*l + 14 - m = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 620823 + 128813 = -2*w, 3*w - 738037 = -u. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2228 (base 9) in base 13?\nAnswer: -998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.88 times -7423?\nAnswer: -43647.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 1:32 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 - 5*x + 3. Let m = -16 - -18. Let c be g(m). Suppose 0 = d + 5*w - 37, 2*w = c*d - 51 + 1. Sort d, 0, -4.\nAnswer: -4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -2 - (-7 - (-13 - -11))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 6:19 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t**3 + 2460*t**2 - 3895*t - 4248. Determine d(-353).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -1 - (2 + -4). Suppose 0 = g + 2, 0 = 5*u + g + b*g - 729. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-7)*((h*h**(-1))\/h)**40*((h*h**(13\/2))\/h**(1\/15))**(5\/17) assuming h is positive.\nAnswer: h**(-3857\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtdqteaq. What is prob of picking 1 e, 1 q, and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*3 - (-5)\/((-240)\/(-54))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 465 - 189. Let s = m + -278. Put 7, 8, s in increasing order.\nAnswer: s, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4400 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -972*s + 350*s + 331*s + 321*s - 117 to the form i + l*s and give i.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 5*y - 22*m + 19*m + 8*m, -6*y - 213 = -22*y - 5*m for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8238649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - 7. Let p(q) = 2*q + 41. Let j be p(-18). Let k be t(j). Solve -k = 2*c - c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (291\/(-97))\/(33\/2) - 70\/(-22). Factor -1\/2*g**2 + 1\/2 - 1\/2*g**l + 1\/2*g.\nAnswer: -(g - 1)*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109557427?\nAnswer: 11, 100868857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.5 (b) 31 (c) -591\/68 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oft when three letters picked without replacement from ytktfktyytyyttytyfo?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.5? (a) -2 (b) 0.03 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3827601457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -46649911, -93299827, -139949745, -186599665, -233249587, -279899511?\n\"Answer: -a**2 - 46649913*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 259745963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -9)\/((-12)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 62. Let w = 7201\/7 - 1039. Are w and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-43 + 18 + (-22 - 23) + (0 - 6)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*5\/(10\/9). Let n = 27 + i. Suppose 4*h - 52 = -4*o, n = -4*h - o - 4*o + 57. Let a(c) = c**3 - 9*c**2 + 9*c - 4. Give a(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a meter in millimeters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6089\/2 - 85181\/28. Find the common denominator of -145\/12 and f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4\/5, -2, -1, 0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, -17, -40, -69?\n\"Answer: -3*y**2 - 8*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 11) + 25 - 17) + -21.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/37)\/b*b)\/b)\/b*b\/b**(8\/5) assuming b is positive.\nAnswer: b**(-496\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66047321?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j - 85. Give y(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 6*h**2 + 2. Let w be i(-6). Suppose -25 + 5 = -w*t. Calculate the least common multiple of 18 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/1*((-85)\/75 + ((-1404)\/195)\/(-9)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4381 + 4380.7339. Let v = s - -0.26. What is v rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8223 + -8219. Put l, 1, -3\/2, 0.1 in descending order.\nAnswer: l, 1, 0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/7, -0.3, -38, -8\/7, -0.4, 2\/125?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.25 + 0.15. Let y = 0 + g. Sort y, 4, 0.1, -5 in descending order.\nAnswer: 4, 0.1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.163 and 371.\nAnswer: 60.473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5970 and 113430.\nAnswer: 113430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12069638429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 3, -2.4, -0.38, 0.45, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 4*a + 4. Let h = 7 + -11. Give t(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -253*n - 4. Let p = 14 + -25. Is o(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2*(sqrt(475) + -1 - sqrt(475)))**2 - ((1*sqrt(475) - sqrt(475))**2*4 + sqrt(475) - (-1 + sqrt(475))*-3))*3.\nAnswer: -60*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31821.59 + 31681. Let k = -139.882 + -0.118. Let q = k - x. What is q rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5158, 5156, 5154?\n\"Answer: -2*z + 5160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t - 25 = 0, 2*t - 33 = -b. Let c be b\/((-1)\/(2 - 3)). Let i = c + -26. What is the remainder when 49 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 8\/(16\/226). Calculate the highest common factor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 0.3 (c) -2.6842 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567283 at most as big as 2567281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -45. Let z be (-5)\/o + 68\/3. Solve 5*b - z = 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75)\/sqrt(3) + sqrt(25))*4 + sqrt(300)\/(sqrt(48)\/sqrt(4)))\/(-5*(sqrt(15)\/sqrt(3) + sqrt(5))*3))**2.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8c + ef?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8449\/4404 - 2\/1101. What is the common denominator of o and (-1 - (-202)\/8) + (-2)\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.041? (a) 2\/39 (b) -84 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 6*m**2 + 2*m + 6. Let t be a(-6). Let u be (-3)\/((-27)\/t)*6. What is the remainder when 38 is divided by (13\/u)\/(1\/(-4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4211783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 136807 * 0.2\nAnswer: 27361.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -8*n**3\/3 - 2*n**2 + 2. What is the second derivative of a(u) wrt u?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 10 + 4 = 0. Solve -6*a + 2*a - 5*w - 26 = 0, -z*a - 16 = 4*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 7 (b) 0 (c) -2\/11 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12246679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0772 and 9095.\nAnswer: 9095.0772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 3:46 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 784*m + 1583*m - 15 - 590*m.\nAnswer: 1777*m - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 16*f**2 - 2*f - 28. Let k be b(-16). What is the remainder when 33 + -1 + 4\/(k\/4) is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 - 93 - (-25 + 4) - (24 + -1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3a396 (base 13) to base 2\nAnswer: 11010011011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1412569 to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/3 - (-2)\/6. Suppose 94 = 2*r + 5*a - 406, 0 = -5*a + 10. Let y = -243 + r. What is the greatest common factor of t and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3 = -4*h + 1, -4*w + 3 = h. Let u be 1\/(8\/(-10) - h). Let r = 0.132 + 1.868. Which is the smallest value? (a) r (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -278\nAnswer: 7\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*t = 2*a, 0 = -2*a - 3*t. Suppose -2*d - w + 230 = a, d + w - 115 = -0*w. What is the highest common divisor of d and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10519164840 to the nearest one million.\nAnswer: -10519000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 58223 divided by 1034?\nAnswer: 5293\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 + (-28)\/(-6). Suppose 9 + 3 = p*s. Let i(n) = s + 0 - 3 - n. Let c(u) = -2*u. Give c(i(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 15*m - 10. Let x(u) = -u**2 + 613*u - 619*u + 8*u**m - 5 - u**3. Calculate x(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -6. Are j and -1\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a - 28 = 0. Let k be a - -3 - (-5 + -16). Solve k - 5 = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 3*t**2 + 2*t - 8. Let n be f(2). Let k(l) = l**3 - 2*l**2 - l - 1. Let j be k(2). Put n, 5, j in decreasing order.\nAnswer: 5, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y + 2. Let q(h) = 4*h - 3. Suppose -8 = -2*c - 4. Let n = 7 - c. Determine n*q(m) + 7*b(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/sqrt(8))\/(sqrt(108) + (-1*sqrt(108) - sqrt(108))))**2 + -5 + (sqrt(187)\/(sqrt(33)\/sqrt(3))*4 + -1*(-1 + sqrt(17)) + 0)**2.\nAnswer: 6*sqrt(17) + 21473\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2670, -2633, -2526, -2313, -1958, -1425, -678?\n\"Answer: 6*y**3 - y**2 - 2*y - 2673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 - 11*x + 5. Let u(v) = -6*v**2 + 17*v - 8. Calculate 5*u(i) + 8*y(i).\nAnswer: 2*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 25*q**2 + 25*q - 9. Let n(d) = -125*d + 524. Let g be n(4). Give s(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s - 22. Let w(k) = k + 10. Calculate -5*w(j) - 2*z(j).\nAnswer: -j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -220, -892, -2006, -3556, -5536, -7940?\n\"Answer: v**3 - 227*v**2 + 2*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 + 1.1\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.17 (b) 3\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.56? (a) -0.101 (b) -12 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13792*s**3 - 51913*s?\nAnswer: 82752*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006401 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 76\/228*(16 + -1 - 0). Solve -7*w + 3*t = -2*w - z, -2*t = 4*w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-1 + 3 - 4)*(-32*i + 13*i - 43*i)*(-2*i**2 - 3*i**2 + 4*i**2).\nAnswer: -124*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 179*w + 995. Calculate y(-89).\nAnswer: 906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 + 2\/(-6). Let p(o) = -1 - 2 + 1 + 1 - o. Let w be p(u). Is w equal to -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69 (base 11) to base 14\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(612) + sqrt(612) + (sqrt(612) - ((sqrt(612) + sqrt(612) + sqrt(612) + (sqrt(612) - 1*2*sqrt(612)))**2 - sqrt(612))) + (2*sqrt(612))**2*-6).\nAnswer: -17136 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 0.3, 0.4, -2\/371, 5, 3.\nAnswer: -3\/8, -2\/371, 0.3, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -34. Suppose r = -5*a + 2*t + 25, 3*a - 5*t - 24 = -2*t. Suppose -50 - 4 = -a*b. What is the least common multiple of 2 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1229444 and 1229444 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/2*(-6)\/(-3). Let m = w - 4. Suppose -3*x + 2*j = 2 - 20, -5*x - m*j = -55. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*i + 2432 = -32*i. Let n = -280 + i. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*x + 145 + 14 - 35. Let p be ((-3)\/(-4))\/((-2)\/(-24)). Solve 5*a - p + x = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(99) + (sqrt(99) - (-4 + sqrt(99) + 1 + sqrt(99))) - sqrt(99)))**2.\nAnswer: -36*sqrt(11) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/9 - 4*o**3\/9 + 58*o**2\/9 + 124*o\/9 + 7.\nAnswer: -(o - 7)*(o + 1)**2*(o + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 3*q**4\/4 + 8*q. Let y = 1 - 2. Is 5 a factor of b(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 - 3411*s**3 + 13633*s**2 - 17037*s + 6814.\nAnswer: (s - 3407)*(s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s**2 + 7*s**2 - 8*s**2. Let y(p) be the second derivative of p**3\/6 + 3*p. Give y(i(v)).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 195887 + -33495875\/171. Let v = -30\/19 + s. Suppose -5*w - 16 = 2*i, 5*i = 4*w + 24 + 2. Is v < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 9*h + 3. Let w be v(9). Suppose -4 - 11 = -w*q. Calculate the smallest common multiple of q and 12 - (-3)\/((-3)\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 212 and 6890.\nAnswer: 13780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6294*h + 6298*h - 36 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -79231*n - 396500. Determine u(-5).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f. Let p(y) be the second derivative of y**4 - y**3 + 119*y**2\/2 + 18*y - 7. Let j(v) be the first derivative of p(v). Calculate j(b(z)).\nAnswer: -24*z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 - 5.08. Which is the nearest to -2\/3? (a) 1\/4 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285384466 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**4 - 66*v**3 - 225*v**2 - 162*v = 0?\nAnswer: -18, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i + 25. Let z(s) = 6*s + 26. Calculate -7*k(l) + 6*z(l).\nAnswer: l - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*q = -7. Let i(d) = -d**2 + 8*d - 8. Suppose 0 = a + 4*a - 30. What is the remainder when q is divided by i(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l**4\/3 + 4533*l**3 + 7765*l**2 + 5821*l\/3 - 1294 = 0.\nAnswer: -1941, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Suppose -70 = -r*m + 4*c, -4*c - 19 - 101 = -4*m. Solve -4*b - 5 = -4*w + 7, 3*b + m = -5*w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 3. Let f = 1 + r. Find the first derivative of 2*z**3 - f*z**3 + 1 + z**3 wrt z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, z: 7, k: 2, u: 2, r: 1, p: 4}. What is prob of picking 1 z, 1 u, and 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 24. Let m = j + 6. Is m >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -21.1. Let l = -466 - -487.65. Let p = a + l. What is p rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, g: 5, d: 1}. Give prob of sequence gggd.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s = 8, 0 = -2*n - 5*s + 332. What is the highest common divisor of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 11:53 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 - 3 + 37*t**4 - 3*t + t**2 - t**3 - 34*t**4 to the form g*t + i + w*t**2 + k*t**3 + z*t**4 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**6\/540 + c**5\/27 + c**4\/36 - 14*c**3\/3 - 12*c**2 - 71. Factor v(j).\nAnswer: 2*(j - 3)*(j + 6)*(j + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268980, -268985, -268994, -269007, -269024?\nAnswer: -269045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809016315.\nAnswer: 3, 5, 17, 409, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*b + 13*b - 11*b + 19 + 5 wrt b?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 8:59 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -16*n + 3*n. Let k(p) = -2*p**3 + 4*p**2 - 2*p. Give k(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -434 - -434. Let u(n) be the third derivative of -1\/4*n**4 + 1\/30*n**5 + 0*n + m*n**3 + 0 + 14*n**2. Factor u(q).\nAnswer: 2*q*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**2 - z**2 - 3*z**2 - 2*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 15*t**2 + 4*t + 6. Let o(b) = 4*b**2 - 2*b + 1. Give -d(y) - 4*o(y).\nAnswer: y**3 - y**2 + 4*y - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-3*12\/(-54)*-3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w = 30*w + 692. Let s = w - 628. Let j = -151 - s. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110714 (base 9) to base 8.\nAnswer: -201216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-135)*((-72)\/32)\/(30\/12 - 1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in months?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -6 + 6*v + 0*v**2 - 5\/3*v**3. Let b(h) = 30*h**2 - 35. Calculate 6*b(s) + 35*o(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37.3 + 46. What is j rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/680 and -3\/120700?\nAnswer: 241400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 3. Let h be k(-3). Let p be (-27)\/((-2)\/(-8) - h\/(-12)). Let f = p + 56. Solve -4*o + j - 6 = 0, -j - 2*j - f = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 979?\nAnswer: -974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72497 divided by 1957.\nAnswer: 72497\/1957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d + 11. Let s be o(-3). Suppose 3*m = -5 + s. Let f = -21 - -36. Solve 0 = -m*t + t - f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*r**2*v**2 + 15*r + 511*v**2 with respect to r.\nAnswer: -30*r*v**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-99)*(-144)\/48?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -56 - (-3650 + 3536).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 7312 + 507. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*g - 182 = 32 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/25 or -1?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.71 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**5\/4 + 19317*a**4\/4 + 212889*a**3\/4 - 251517*a**2\/4 - 106443*a\/2 + 58050 = 0.\nAnswer: -12, -1, 1, 6450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -179 + 263. Calculate the greatest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1921 is divided by 637.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 291*j**3 - 2*j**2 - 11*j + 10. Let l be u(4). Let x = l + -10565. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5 = -4*a. Let c = -5 + a. Let b(p) be the second derivative of p**3\/6 + 5*p**2\/2 + p. Give b(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 4744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1018*c**3*r**3 + 2*c**3*r - 2*c**3 + 9157*c**2*r**2 + 2*r**3 wrt c.\nAnswer: -6108*r**3 + 12*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7881.426 decades in months?\nAnswer: 945771.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 58, 59, 58, 55, 50, 43, 34?\n\"Answer: -n**2 + 4*n + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 45\/2 of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -r + 266. Let g(q) = 170*q + 4. Let t be g(0). Suppose 95 = -t*z + r. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*sqrt(18).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -32.979 times -0.1\nAnswer: 3.2979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.5 + 4. Let m = -16534 + 16529. What is the biggest value in l, m, 16, -3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 1, u: 1, w: 1, o: 1}. Give prob of picking 1 p, 1 w, and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 - 213 = -4*i + 2*h, -92 = -i + 5*h. What are the prime factors of i?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039402341 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/8)*o*o\/(o*o*o**(-4\/3)*o*o)*o*o*o*o*o*(o**(4\/3))**(-43) assuming o is positive.\nAnswer: o**(-427\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - i**3)*(3*i - 3*i + 3*i**2) + (-4*i**4 + 3*i**4 + 2*i**4)*(0*i + i + 5*i).\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/1751 and 11\/10?\nAnswer: 17510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (522\/(-42))\/(9*(-2)\/42).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**10\/75600 - f**8\/8400 + f**6\/1800 + 5*f**4\/4 + 24*f. Let l(o) be the third derivative of c(o). Factor l(i).\nAnswer: 2*i*(i - 1)**2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k*t**4 - 2*k*t**3 + k*t**2 - k*t + 2*t**4 - 90*t**3 + 6215*t**2 - 2 wrt t?\nAnswer: -48*k*t - 12*k + 48*t - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 222*a - 3336. Give o(236).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-7)*28\/8. Let f be (3 - h)\/(-3 - -4). Let v = -2 + 2. Does f = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 8*y + 9. Let m be p(-7). Calculate the smallest common multiple of -1 - 0 - (m - 9) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 4*r + 72 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 552*z + 2*z**2 + 552*z - 1104*z in the form f + l*z**2 + x*z and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*c - 2527 - 3714 - 6106 - 5575 = 0 for c.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 580*b - 757. List the prime factors of s(29).\nAnswer: 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -546, -26, -632, 4 in descending order.\nAnswer: 4, 1, -26, -546, -632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 4*w - 45, -1203*w + 1207*w + 5 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93.68 + -93. Let a = v - 0.38. Do a and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.2 + -1.6. Let c = o - -0.4. Let w = 0.46 + -0.06. What is the closest to -1 in -0.2, c, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3072492, 3072481, 3072460, 3072423, 3072364, 3072277, 3072156?\n\"Answer: -g**3 + g**2 - 7*g + 3072499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/11)\/(i**(4\/17)\/i)*i**0\/(i\/i**21))**(6\/13) assuming i is positive.\nAnswer: i**(23196\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 462.7 + 490553663?\nAnswer: 490554125.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 2*h**2 + 2*h**2)*(-5 + 2 + 1) + 4*h**3 - 2*h**3 + 0*h**3 + (-h**2 + 0*h + 0*h)*(2 - 2 + 2*h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 10.2. Which is the third smallest value? (a) 2\/9 (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 59601*h.\nAnswer: h*(h - 119202)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1084.6161\nAnswer: -1083.6161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 426 or 429?\nAnswer: 426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**5 - 2265*k**4 + 4355*k**3 + 70065*k**2 - 71860*k - 135300 = 0. Calculate k.\nAnswer: -5, -1, 2, 6, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 3. What is r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -11751613\/3 at most -3917205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2493322 to the power of 1\/2, to the nearest integer?\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 139716869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 + 156190525 - 156190525.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/4 - (-2)\/(-4). Suppose -l*s + 129 = q + 2*q, 8 = -4*q. Suppose -2*v + s = 7. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8*-2)\/((-6)\/((-672)\/(-308))).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*x**4 - 3714*x**3 - 2*x**2 - 365821*x.\nAnswer: -72*x**2 - 22284*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-656)\/(-48))\/(1*6\/(-18))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 139 = 21*u. Let c = 660 + u. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.309 + 2.109. Which is the nearest to -0.1? (a) m (b) 1.2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -3 + 0 - -1. Let d = -289.5 + 288.5. Which is the closest to w? (a) d (b) 1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56735312 to the power of 1\/2, to the nearest integer?\nAnswer: 7532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 11*w**3 - 6*w**2 - 6. Let f(o) = -33*o**3 + 17*o**2 + 17. Let j be (-46)\/115*(-30)\/2. What is j*f(v) + 17*r(v)?\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16198, -32686, -49176, -65668?\n\"Answer: -u**2 - 16485*u + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8354380, 8354354, 8354282, 8354140, 8353904, 8353550, 8353054, 8352392?\nAnswer: 8351540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014078925 to 7 dps.\nAnswer: 0.0001408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 65349872747?\nAnswer: 65349872744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/5)*f*f*f*f\/((f\/(f*(f\/(f*(f**(-6\/5)\/f)\/f))\/f))\/f)*f*f\/(f\/(f*(f*f**4*f)\/f))*f*f**(-1\/4)*f)**(-35\/4) assuming f is positive.\nAnswer: f**(-2205\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.6681 + 0.3098. Let l = o - -0.0221. Which is the third smallest value? (a) -3\/4 (b) l (c) -8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**5 - 47*q**2 - 62*q**2 + 385 - 159*q**3 - 10*q**5 + q - 385 wrt q?\nAnswer: -840*q**2 - 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2272*c**3 + 1412*c**3 + 3882*c**3 + 604*c**3 + 538*c**3.\nAnswer: 8708*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o**3 - 4*o + 3. Let c(f) = -8*f**3 + 5*f - 4. Give -4*c(a) - 5*x(a).\nAnswer: -13*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 388287310 and 680?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 + 222*i**3 - 65 - 231*i**3.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5703*o**2 - 12*o**3 + 5706*o**2 - 11409*o**2.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39*(-477)\/(-1620) - (85\/25 + -3) and -103\/2340?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148.3675ml to litres.\nAnswer: 0.1483675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1357158206636 from -2.\nAnswer: -1357158206638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 19.25. What is g rounded to zero dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9744 and 109217248.\nAnswer: 327651744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 12*w - 4. Let b be k(12). Let n = b + 9. Let c be ((-2)\/2 + 2)*1. What is the nearest to -1 in 2\/7, c, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38958 + 5648934\/145. Let u = m - -8461\/2320. What is the common denominator of u and 55\/24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424 - 357 + l**2 - 353 + 1134.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -12523115?\nAnswer: 2\/12523115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -94172.88 rounded to the nearest one hundred?\nAnswer: -94200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 12*d - 684 = 0. Let p = -58 - d. Sort -4, p, 2 in descending order.\nAnswer: 2, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1437\/98 (b) -18 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 4*j**2 + 6*j + 5. Let t be y(5). Let k(i) = 17*i - 1. Let o be k(8). Suppose 5*q + t = o. What is the remainder when q is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**3 + 262860 + 262885 - 525745.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = c - 24, 0 = -19*h + 18*h + c + 6. Let g(l) = l**3 + l**2 - 5. Let y(q) = q**3 + q**2 - 4. Calculate h*g(m) - 7*y(m).\nAnswer: -m**3 - m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 3. Let b be c(9). What are the prime factors of 356\/6 + (-8)\/b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -32, 57, -3, -4, 1 in decreasing order.\nAnswer: 57, 1, -2, -3, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 0.032, 32.88, 6\/11?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (2 + (7 - 1) + -5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100010011001010 - 11?\nAnswer: -101100010011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 670.884 - 669. Round k to 2 dps.\nAnswer: 1.88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, l: 11, i: 1}. What is prob of picking 2 l?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14350 + -14352. Sort -5, 5\/4, l, -3.\nAnswer: -5, -3, l, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 - -62. Let y(p) = -2*p**3 - p**2 - 6. Let u(s) = -3 + 3 - 1 - 12 + 12. Calculate k*y(l) - 6*u(l).\nAnswer: -2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3*x + 2*a - 6, 4*a + 9 = 3*x. Suppose -x*o + 10 = -35. Suppose -u + o = -0*u. What is the remainder when 44 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/5 (b) 2\/11 (c) 0.5 (d) 252 (e) -5\/4 (f) -1\/18 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.35 + -0.05. What is the second smallest value in -5, 2\/25, w, 3\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 205756852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85328.89 days to minutes.\nAnswer: 122873601.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400015952.\nAnswer: 2, 7, 1867, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14833? (a) -2\/15 (b) 8 (c) 4\/5 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*-1 + sqrt(13) - (sqrt(156)*2)\/sqrt(12)) + 2.\nAnswer: -5*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 16*r**2 + 27*r + 160. Calculate l(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4 + 16*c + 6 - 18*c. Suppose 3*z - 3 = -2*b - 22, 0 = 2*b - z + 15. Let o(k) = k**3 + 7*k**2 - 9*k - 1. Let a be o(b). What is g(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t\/(((t**(-1\/4)\/t)\/t)\/t*t))\/t)\/t**(3\/4))\/(t**(-2\/19)\/(t*t*t*t**(1\/5))))**49)**(2\/3) assuming t is positive.\nAnswer: t**(44737\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279 = -7*f + 5*r - 2*r, -3*f + 4*r + 102 + 23 = 0 for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.040220246 and -0.171.\nAnswer: -0.211220246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*w**5 + 11*w**5 - 5*w**5 - 2*w**5 + 3*w**5 - 2*w**5 + (-3 + w + 3)*(2*w**3 + 2*w**4 - 2*w**3).\nAnswer: 26*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n**3 + 2*n**3 - 2*n**3)*(-4*n**2 - 2*n + 4*n**2 - 6*n**2).\nAnswer: -54*n**5 - 18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2613100 rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/52056 and -191\/219780.\nAnswer: 105933960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0363 + 206.9637. Let w = 210 - y. Let f = 0 - -0.4. Which is the smallest value? (a) f (b) -0.5 (c) w (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22994*z - 102 = -22963*z + 1076 for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*i**6 + 9*i**5 + 5*i**2 + 5*i - 3.\nAnswer: 2880*i**3 + 540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -36. Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/4 of a minute?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*v**2*x**3 - 57*v**2*x**2 - 45*v**2*x - v*x**4 + 47*x**4 + x**3 wrt x.\nAnswer: 696*v**2 - 24*v*x + 1128*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*z**2 - 493 + 2*z**2 + 48814*z**3 - 24*z - 48817*z**3 wrt z.\nAnswer: -9*z**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.033 in -2\/15, -2, 3\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.297 times 416\nAnswer: -539.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**1*q*q)**(-22))**(-3\/17))**50 assuming q is positive.\nAnswer: q**(9900\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 4:04 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 5. Which is the closest to -1? (a) -1.8 (b) y (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 3, -4 in ascending order.\nAnswer: -8, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 2*k**2 + 9*k - 6. What is the units digit of p(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**3 - 15*d**2 + 5*d - 6. Let q(i) = -6*i**2 + 2*i**2 + 0 - 11*i**3 - 19*i**2 - 9 + 8*i. Let a(c) = -8*f(c) + 5*q(c). Is a(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2796104653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 + 0)*(-3 + 7 - 2) - 4 + 3 + 2)*(4*a**4 - 7*a**4 - 2*a**4).\nAnswer: -25*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/9)*n**(2\/15))**(3\/4))**23 assuming n is positive.\nAnswer: n**(23\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.71589 + 0.28411. Sort 4, g, -1, -0.01, 1\/2 in descending order.\nAnswer: g, 4, 1\/2, -0.01, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -187\/4. Let a(q) = -q - 3. Let n be a(0). What is the second biggest value in n, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1725*r**2 - 977*r?\nAnswer: -3450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/4080 and 73\/73950.\nAnswer: 591600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 10, -4 in increasing order.\nAnswer: -8, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/2)\/o**(-3))\/(o\/o**(1\/3))**(-3\/5))\/(o*o**(-2\/15)*o**3*(o**(1\/2))**(-35\/4)) assuming o is positive.\nAnswer: o**(649\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -118\nAnswer: 11.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -6, -1\/6, -3\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130830 and 147.\nAnswer: 130830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 3153594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-12))\/(1631\/699).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*f - 56 = 0. Suppose -5*t - f = -t. Let a = t - -9. Sort -1, 0, a in descending order.\nAnswer: 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/103644 and 137\/2778.\nAnswer: 47987172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -184 (c) 195 (d) -4 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 265954453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43\/8 - 541\/104. Let r = -3453 + 41495\/12. Calculate the common denominator of r and k.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + f + 30098, 4*u = 3*u + 4*f + 10029. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w - 10 + w + 4 + 4*w - 2*w + 0*w + (-1 + 1 + 2)*(0*w + 0*w + w).\nAnswer: 6*w - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**7\/k*k)\/k*k)\/k*k**31\/k*k**(-31)\/(k**(-44)\/k) assuming k is positive.\nAnswer: k**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202000110 + -222001?\nAnswer: 201001102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1\/5, 2\/7, -0.4, 6 in decreasing order.\nAnswer: 6, 2\/7, -1\/5, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -39260, -157198, -353744, -628880, -982588, -1414850, -1925648, -2514964?\n\"Answer: 3*k**3 - 39322*k**2 + 7*k + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*r**2*w + 56263*r**2 - 866710*r*w + 15*w - 11 wrt w.\nAnswer: -4*r**2 - 866710*r + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**2. Let z(r) = -119*r**2 - 17*r - 85. Let q(t) = 20*t**2 + 3*t + 15. Let i(p) = -34*q(p) - 6*z(p). What is v(i(n))?\nAnswer: -5780*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 540942?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**2 + 5*z - 19. Let n be h(-4). Solve d - 4*s = 11, 0*d = 5*d + 4*s + n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -437 divided by -2.\nAnswer: 437\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from sikakrarkkrrkar.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/254 and 61\/3.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12946935047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(175))*2 + sqrt(175) - (1 + sqrt(175)*1))*-2)**2.\nAnswer: 80*sqrt(7) + 2804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - -9. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 237973743 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 44.6, -1\/3, 0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55\/2 + -27. Let f = -686 - -602.2. Let p = -84 - f. What is the second smallest value in 1\/18, p, d, 1\/3?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 2*l - 3*d, -l + 2*d + 38 = -0*d. Find the third derivative of 57*a**2 + 70*a**5 - 4*a**2 - l*a**2 wrt a.\nAnswer: 4200*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 518, 657, 886, 1205?\n\"Answer: 45*b**2 + 4*b + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 1045*m + 15 - 37 as o + c*m and give c.\nAnswer: -1045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s - 4. Let v(y) = 13*y + 9. Let k = 7 - 4. Let z(m) = k*v(m) + 7*j(m). Find the first derivative of z(o) wrt o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -70251, -70255, -70259?\n\"Answer: -4*f - 70247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 3. Let l be y(1). Let g be (l\/(-6))\/((-2)\/(-18)). Solve g*a + 4*s + 14 = 8*s, 0 = -2*s + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = j - 5*o, 5*o = 4*j - 2*j - 156. Calculate the least common multiple of j and 32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816063.1 years in millennia?\nAnswer: 816.0631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12416 + 107736?\nAnswer: 122354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-1*-6 - sqrt(65) - (-1*(sqrt(65) - sqrt(65)*-1) + sqrt(65)))\/((sqrt(25)*-2)\/sqrt(5) - sqrt(15)\/sqrt(3)*1).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -11. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119 - -119. Suppose d = -10*j + 16 + 64. Solve j*l + 20 = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 16 + 3 = -2*h, 35 = -3*h + x. Let u be ((0 - -4) + h)*(-10 + -2). Suppose u = 4*d - y - 3*y, -2*d + 3*y = -52. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, 533651, -2, 0.4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1765 - -1871. Calculate the remainder when 134 is divided by o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - k. Let f(v) = 9*v**3 - 2*v**2 + 5*v. Let q(b) = -5*a(b) - f(b). Let q(m) = 0. Calculate m.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3))**(-17\/4)*((t\/(t\/(t\/t**1)))\/t)\/t**(-1\/7) assuming t is positive.\nAnswer: t**(107\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003929 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -41*x + 184. Let u be p(4). Suppose u = -5*n, -804 = -3*s + s + 5*n. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Let n(z) = z**3 + 9*z**2 + 19*z + 8. Let r be n(-6). Let h(v) = -4*v**r + 83*v**2 - 47*v**2. Give m(h(g)).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**2\/2 + 2*h + 1. What are the prime factors of z(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4741.438 rounded to the nearest integer?\nAnswer: 4741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 24.3, 3, -2\/7 in increasing order.\nAnswer: -2\/7, 3, 24.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-5) + 676\/5 is divided by (0 - -2)\/(4680\/580 - 8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -896*h + 856*h + 371*h - 9*h**2 + 3 - 3.\nAnswer: -9*h**2 + 331*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 581 + -580.9689. Let z = -7.9689 - f. What is the nearest to z in 0.5, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1063990*q**3 + 8783199 wrt q.\nAnswer: 3191970*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-280))\/((-51030)\/10800)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 24*v + 1 - 5*v + 5*v**2 - 3*v**2. What is the remainder when q(-10) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 9*r**2 - 5*r + 17. Let x(d) = d**2 - 24*d + 110. Calculate the remainder when a(8) is divided by x(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 76 - 16 = 0. Let h be ((-184)\/l)\/(2\/60). Is h\/(-24) - (-4)\/(-24) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f - 313. Let n(r) = 8*r + 626. Give -5*i(v) - 2*n(v).\nAnswer: -v + 313","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6 = -20. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5))**(5\/7) assuming y is positive.\nAnswer: y**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 54*p**2 - 2 + 55*p**2 + 8*p as t + r*p**2 + q*p and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0*o**3 - 2\/25*o**5 - 9\/100*o**6 + 0 + 27\/560*o**8 - 1\/40*o**4 + 0*o - 6*o**2 + 0*o**7. Solve x(t) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32475716 and 819.\nAnswer: 292281444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**4\/8 - l**3 - l**2. Suppose 5 - 33 = -3*o - d, -4*d + 22 = 3*o. Suppose x = h + 7, -2*x = -h - 0*h - o. Give a(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15528 - 15527.6. Which is the closest to -2? (a) -2 (b) 0.035 (c) u (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4*s + 4 = 0, 4 = -5*i + 5*s - s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c + 3 + 4*c - 3. Let y(r) = -r + 2. Let p(a) be the first derivative of 5*a**2\/2 - 9*a - 2. Let i(w) = -2*p(w) - 9*y(w). Give i(k(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 5:28 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 - 1. Let q be h(-1). Suppose q*d - d = 18. Let f(l) = 7*l**2 - 20*l. What is the tens digit of f(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 - 4*g + 2*g)*(-2*g - 2*g + 0*g).\nAnswer: 8*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6760870?\nAnswer: 2, 5, 283, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 216.\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 16. Let x = -5 + 7. Let v = -147 - -148. Which is the closest to y? (a) x (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7337 + -23323?\nAnswer: -2a65a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - p**2 - 1. Let j be 18 - 13 - 1*3. Suppose -20 = -7*a + j*a. Let b(c) = 3*c**3 + 4*c**2 + 6. What is a*i(o) + b(o)?\nAnswer: -o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -3, 393, -4, -2, 0 in decreasing order.\nAnswer: 393, 5, 1, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 1175355*q + 4701500.\nAnswer: -5*(q - 235075)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.052 and -1763?\nAnswer: 1762.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1096 + -1019. Let u be ((-8)\/11)\/4 + 1862\/l. Suppose 4*m = 768 - 0. What is the greatest common divisor of m and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**2 - 3*b**2 + 11*b - 1968*b**3 - 433 + 438. Let m be k(-5). Round m to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4 + 156508*r**2 - 9.\nAnswer: 156508*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(((-756)\/24)\/(-21)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(190) - (5*sqrt(190)*1 + sqrt(190)))*2)\/(sqrt(320)\/(sqrt(72)\/(sqrt(9)*-2) + sqrt(8) + sqrt(8) + sqrt(8))).\nAnswer: -125*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13716 and 245618?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1109 + -1103. Solve -4*y + 6 = -d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 + 0.6. Let j = -1 - -0.8. Which is the nearest to j? (a) i (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x*x*x**(-1\/6)))\/x*x)**(-1\/5)*x**16\/(x**(-5\/6)\/x) assuming x is positive.\nAnswer: x**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33523 + -18683. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 154*i + 573. Calculate n(-5).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96146251.\nAnswer: 19, 5060329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 6*o**2 - o + 1. Let r(u) = -11921*u**3 - 30654*u**2 - 5109*u + 5109. Determine r(l) - 5109*x(l).\nAnswer: -6812*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 2*b + 9. Calculate v(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19276*s**3 - 161004 wrt s?\nAnswer: 57828*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 + 5*z - 3. Let q(o) = o**3 - 2*o**2 - 4*o + 3. Let b(v) = -4*q(v) - 3*u(v). Let x(g) = g**3 + 1. Calculate b(l) + 3*x(l).\nAnswer: -l**3 - l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j**3 - 5*j**2 - 12*j**2 - 3*j**2 + 20*j**2 + 3*j - 4*j**2. Let r(m) = 8*m**3 + 5*m**2 - 3*m. Determine -6*g(q) - 5*r(q).\nAnswer: 2*q**3 - q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202 - -1111?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*n - 14 + 7 = 0, 0 = -l - 5*n + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n**2 + 4*n + 1 - 1. Let i(w) = -w**3 + w**2 - w + 2. Let z be i(2). Let m(k) = k**2 - k. Determine z*m(t) - u(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h + 8. Let q(j) = 9*j - 23. Let c(y) = -6*q(y) - 17*u(y). Let v be c(2). Let k(w) = -w**3 - 4*w**2 + w + 1. Determine k(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -102. Let q = j + 45.1. Let u be 6\/(-64)*-1*4. What is the closest to q in 1\/2, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -65*h - 453. Let w(t) = -64*t - 450. Let a(y) = -3*c(y) + 4*w(y). What is the derivative of a(j) wrt j?\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 39347, 1, -6 in increasing order.\nAnswer: -6, 1, 6, 39347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 304534382 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i = -23*i - 1839 + 289 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s + 9*s - 13 = -5*p + 7*s + 15*s - 56, -s + 4 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24211276 is divided by 2366.\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 612.36911 * -0.2.\nAnswer: -122.473822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6558791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -u - 0. Let b be -2 + 1 - 9\/u. Suppose -2*k + 2*w = -260, 0 = b*k - 0*k - 3*w - 263. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 23\/3*k**2 + 0 - 8*k**3 - 5\/2*k - 1\/6*k**5 + 3*k**4 = 0.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 14*g + 19. Suppose -3*o + o + 10 = 0, 3*k - 59 = -4*o. Is t(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 5 - 616\/(-18). Let x = 71 - 40. Let w = x - m. Which is the biggest value? (a) -3 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -1. Let y be (-3)\/(-3) - (-161)\/4. Let p = y + -41. Is o greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-70)\/(-20))\/((-23)\/(-85238))?\nAnswer: 7, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*d + 69*d = 276. Solve 2*s = -h - 14, 18*s - d = 16*s + 3*h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -3, -2\/11, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*d - 3*r, -3*r + 1 - 12 = -2*d. Let z = -43 - -85. Let v(c) = -4 + 43*c**3 - z*c**3 + 3. Give v(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -2\/3*t**2 + t + 1\/9*t**3 - 106. Factor b(w).\nAnswer: (w - 3)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 6*l**2 + 2*l + 5. Let r be m(-5). Suppose r = 6*p - 4. What is x in 41 - 40*x**2 + 26 + 8*x**4 + 13 - 3*x**p = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14455 + -7626. Is 24 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, n: 1, j: 6, d: 1, o: 3}. What is prob of sequence hodn?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1628*i**2 - 89214 + 89214. Let g(c) = -c**2. What is g(h(k))?\nAnswer: -2650384*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (64\/(-8))\/(-1 - 1). Solve 1 = 2*v - 3*h, 3*v = -0*v + z*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 633 + -630. Let y = -0.478 + 0.378. What is the closest to -2\/7 in -3, y, m, -14?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178 + -171 + -16 + -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-2)*24\/(-42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8 = 5*k. Let u = 10 + -10. Find the first derivative of u*t**2 + 4*t**2 + t**k - 2*t**2 + 6 wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -6.9. What is the closest to j in -1\/2, 0.5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 - -86. Suppose b = 5*r - 4*r. Let p = -81 + r. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1)*(-1)\/(-1). Let v = 1420 - 1398. Let z be m + -3 + v\/2. Solve -3*w - 5*h - z = 0, 2*w = 3*h - 0*h - 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37870 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: Suppose 0 = -v - 11 + 5. Is (6\/v)\/((-1503)\/(-753) - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z + 11. Suppose -15*v = -1 - 209. Calculate the smallest common multiple of v and 0 + 24 - (z + 15).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267137 a multiple of 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 4*f + 5. Let s be q(4). Let t = s - -15. Suppose -t*n + 118 = -2*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l - 1. Let s(m) = 5*m - 1. Determine -4*f(b) + 5*s(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**3 + 2*r**2 + r + 1. Let q(k) be the first derivative of k**4\/4 + k**3\/3 + k + 60327. Let t be (3\/9)\/(1\/(-3)). Calculate t*d(o) + 2*q(o).\nAnswer: -2*o**3 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1443903792.\nAnswer: 2, 3, 73, 412073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*o + 20302 - 41603 = -20691 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -4\/35, 0.2, 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5661 is divided by 236.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/10)\/((-4)\/24)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2687*-9006.6.\nAnswer: -24200734.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 25782090 and 25782096 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 108182.87578935 - 0.3\nAnswer: 108182.57578935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 66, 631 in decreasing order.\nAnswer: 631, 66, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 84*w**3 - 10*w**2 - 4*w - 9. Let h(b) = 168*b**3 - 18*b**2 - 7*b - 17. Give -4*h(j) + 7*y(j).\nAnswer: -84*j**3 + 2*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**(2\/7)*s)\/s))\/(s*s**(1\/10))*(s**12\/s*s)\/s**(-1) assuming s is positive.\nAnswer: s**(813\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 9*m**5 - 4*m**3 + 2*m**3 + m**3 - 12*m**4.\nAnswer: -3*m**3*(m + 1)*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 4*n + 2. Let h be g(13). Let v = -1973\/9 - h. Which is the closest to -0.1? (a) v (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 + 35 + -36 + -22?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**4\/6 - j**3\/3 - 3*j**2\/2 + 2*j. Let l(k) = -135*k - 1482. Let w be l(-11). Give m(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 14 + 2)*(4 - 5*a - 2 - 1) + 3*a + 3*a - 5*a to q + m*a and give m.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (0 - -1)*-3. Suppose -t*q - 5 = 3. Which is smaller: q or -2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-13)\/(-8) - -1)*12\/14. Which is the nearest to -1? (a) n (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfflfflfflffffffff. What is prob of sequence ll?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 5) to base 12\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-283287*d + 141582*d + 72 + 141521*d)*(2*d - 2*d - 2*d) in the form r*d + g + l*d**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 90 = 102. Let t be 6\/432*y - 3\/12. Which is the third smallest value? (a) 0 (b) 7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(78)\/(sqrt(24)\/sqrt(4)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzzmmmzzzzilwlizwzw. What is prob of sequence lml?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -745*q. Let f(c) = -264*c - 20. Let m(x) = 79*x + 6. Let k(i) = 3*f(i) + 10*m(i). Give k(a(w)).\nAnswer: 1490*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 + 0.6. Let t = 0.1 + x. Let a = 24 + -28. What is the smallest value in t, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**3 - 27*i**2 + 82*i + 1102. Determine y(-13).\nAnswer: 2064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48844501?\nAnswer: 48844501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d + 22. Suppose -l + 4*i - 3 = 0, -4*l - 5*i + 27 = -8*i. Calculate f(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times 29?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 148080?\nAnswer: 148080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 0.05, 3 in descending order.\nAnswer: 4, 3, 2, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49752 is divided by 1463?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*f**2 + 4*c**3 + 63*c*f**3 - f**3 - 31*f wrt f.\nAnswer: 2*c**3 + 378*c*f - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15417 times -1\nAnswer: 15417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9584\/48 - (-2)\/6. Let m(d) = -d + 133. Let x be m(0). Let a = r - x. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 378\/(-21)*-3*30\/54?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45965 is divided by 621.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 75\/2 - 5\/10. Let i = -17 + u. Let w(j) = j**2 + 12*j - 3. Calculate the smallest common multiple of w(-13) and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17350210?\nAnswer: 2, 5, 653, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 189829417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iinnn. What is prob of picking 1 n and 1 i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 609 = 75. List the prime factors of w.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2869 + 2853. Let w be (-2)\/(-8) - 15\/(-4). Is 4 a factor of 4\/u - (-65)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/1)\/(-2)*-2. Suppose -2*a + p = -6. Let k(b) be the second derivative of b**3\/3 + b**2 - b. Determine k(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -201.3 and 1247.\nAnswer: -251021.1","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**3 + 6*k**2 + 2*k. Let h(v) = v**3 - v**2 - v. Let g(l) = -l**3 + 11*l**2 - 4. Let z be g(11). Determine z*h(s) - d(s).\nAnswer: -s**3 - 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (408\/(-16))\/((-1)\/2) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -27. Suppose 5*p = -h*b + 37 + 16, -4*p = -5*b + 50. Solve -5*x**2 - 4 + b - 59*x + 64*x = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -10*d - 192. Calculate the lowest common multiple of 9 and m(-24).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001011 - -2?\nAnswer: -1001003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 919, 1825, 2731, 3637, 4543?\n\"Answer: 906*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7035, 14071, 21107, 28143?\n\"Answer: 7036*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 7. Let o be a(3). Let r = o + 2. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.6 - -10. Let y = z + -0.4. Let k = 0.3 - 3.3. Which is the nearest to y? (a) k (b) 3 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55134, 110270, 165406?\nAnswer: 220542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 152018200327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: a (base 16) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*d - 68. Calculate the remainder when d is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 at least 368.343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.421 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*p + 2139 = 0, -4*t + 0*p = -3*p - 1711. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1564962.\nAnswer: 2\/782481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwaaawwwanwwan. Give prob of picking 3 w.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -102 * 369516\nAnswer: -37690632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1155488 divided by 8.\nAnswer: -144436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, -0.24, 1\/6, -20, -0.3, -2\/5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 8, p: 6, i: 1, v: 1}. What is prob of sequence ppp?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 9*z - 16. Let k be u(-3). Suppose -k*c = -4*l - 4*c + 5264, 5*l + 2*c = 6580. Suppose -l = 12*j - 16*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2\/3 - 3342*x + 10029 = 0. Calculate x.\nAnswer: -10029, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 80 = 5*h, p + 0*h = 5*h + 10. Let y = p + -11. Calculate the remainder when 7 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -2. Suppose -3*v + h*v + y - 2219 = 0, -y = 3*v - 1333. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (221*y - 63*y + 60*y)*(4*y**2 + 3*y**2 - 5*y**2).\nAnswer: 436*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + -26. Solve 0 = -v - 5*q + 5, 5*v + j = -0*q - 3*q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/3 - (-156)\/36. Solve -2*m + 5 = x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (25 + (-9 - -6) - 16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - (-27)\/(-6))*((-35)\/49 + 1). What is the third smallest value in -0.15, w, -12?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.3457 less than -0.005?\nAnswer: -38.3507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + 3 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*o**4 - 100*o**2 - 22811 wrt o.\nAnswer: -124*o**3 - 200*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -213*v + 3997. Let d be q(18). Solve 13 = -150*a + d*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3 - (-208)\/6. What is the greatest common divisor of b and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38993*k**3*r**2 - 1235*k**3 + 6*k**2*r - k*r**2 - 3*k*r - 3*r**2 wrt r?\nAnswer: -77986*k**3 - 2*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -1) + 8 - 0. Suppose 5*p + k - 31 = 0. Calculate the least common multiple of 2 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024023 rounded to 3 decimal places?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*i - 422725727 + 422725727.\nAnswer: 33*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 + 83. Let w be 4\/110*(-5 - -10). What is the smallest value in -4\/7, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 4. Let f be 3\/24 - (-639)\/72. Solve 25 = 5*w - q*g, 3*w + 5*g + 13 = -f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2153721.\nAnswer: 3, 541, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3620*t**3 - 10*t - 5528. Let p(c) = 1814*c**3 + 4*c + 2763. Let i(u) = 2*a(u) + 5*p(u). Differentiate i(k) with respect to k.\nAnswer: 5490*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*f + 2*a + 2*a, -f - 3*a = 0. Suppose -f*o + 315 = -6*o. Let w = o + 165. Calculate the remainder when w is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 583a9?\nAnswer: -583a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*i + 2759, 2*z - 7*z + 4*i + 3450 = 0. Suppose 681*m - z*m = -25. Solve 0 = m*q - 0*q - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/7 - 20\/7*a**3 + 10\/7*a**2 + 24\/7*a - 18\/7*a**4 - 4\/7*a**5 = 0. What is a?\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1433*p**2 - 720*p**2 - 714*p**2 + 504*p.\nAnswer: -p**2 + 504*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.25992 centuries?\nAnswer: 525.992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1138 - 12516\/11. Let d = -2.76 - -0.46. Let q = d - -2. What is the fourth biggest value in q, 2\/7, 0, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -721, -610, -429, -178?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*m - 628*m**4 - 93*m**2 + 93*m**2 + 32*m - 813*m wrt m.\nAnswer: -7536*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -311 - -186. Let r = -126 - q. What is the third smallest value in r, 0.2, -4\/5, -25?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/((((x\/(x*x*x**(2\/33)))\/x*x)\/x)\/x))\/x**4)\/((((x**(-2\/17)*x)\/x*x)\/x)\/x*x*x**(-4\/3)*x) assuming x is positive.\nAnswer: x**(848\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Let g = 58 - 72. Is g*z\/(-4)*127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 26253.06474062777.\nAnswer: 26252.66474062777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 211.049t in micrograms?\nAnswer: 211049000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26496278.99883 - 26495997. Let l = 282 - z. What is l rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1512 - 2298?\nAnswer: -886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3558*x**3 + 5*x**2 - 935*x + 5. Let r(t) = t**3 - t**2 - 1. Let w(y) = -h(y) - 5*r(y). What is the second derivative of w(s) wrt s?\nAnswer: -21378*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(2\/(-4)*-4). Suppose 4*w - 4*d + l = -8*d, 7 = -3*w - 4*d. Solve -w = 2*c - c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.6 rounded to the nearest integer?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33\/2*j**2 - 2*j - 4*j**3 + 0.\nAnswer: -j*(j + 4)*(8*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.7 + 27.7. Which is the closest to x? (a) 0.2 (b) 2.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/6 + 231179*x\/6.\nAnswer: -x*(x - 231179)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 - 155 = 13*a. What is the tens digit of (-4132)\/6*9\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 12:46 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (375\/150)\/((-1)\/2*2\/2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 - v + 2. Let i be m(1). What is the units digit of (-4 + i)\/((-2)\/13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (7 + -22 + 17)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 97613953 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t - 3. Let c(u) = 133*u - 56. Give 56*a(q) - 3*c(q).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 165470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 9 = -f - 0*i, -4*f + 3*i + 82 = 0. Let g be 2\/(-4) - f\/(-2). Solve 0*a = 3*a + k - 7, k = a - g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1561 + -883. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7692*o - 54849 - 183603 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/8 - (-9)\/6. Let r(t) be the first derivative of 5\/6*t**3 + 1\/4*t - 3 - 5\/8*t**4 - 1\/24*t**6 - b*t**2 + 1\/4*t**5. Suppose r(i) = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161 + -177. Let t = 16 + d. Which is the closest to -0.1? (a) -0.05 (b) t (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154101557 a multiple of 3919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 773 divide 164842250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -7*c + 0*c**2 + 25 + 1\/3*c**3. Let p(q) = 1. Determine -b(i) - 4*p(i).\nAnswer: -i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47.5 + -48. Let p = 4.9 - -0.1. Let w = p + -7. Which is the third smallest value? (a) 4 (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -9876*u**3 - 6*u - 33. Let h(d) = 1975*d**3 + d + 6. Give -11*h(g) - 2*p(g).\nAnswer: -1973*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/15 + 52*x\/3 + 86\/5.\nAnswer: 2*(x + 1)*(x + 129)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2. Let l(m) = 257*m**2. Calculate l(v) + 6*t(v).\nAnswer: 263*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18181172 + -6409957. Let v = 22682794 + -39554009. Let i = v + c. Round i to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 17, t: 2}. What is prob of sequence ut?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/12 and 31\/984?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 114.22946\nAnswer: 114.22946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10121 - -27475. What is the ten thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*u + 4 + 3 = 0, -3*w - u = -13. Suppose -2*j - 4*q = -3*q - 2, -2*j = -2*q + w. Solve 18 = -4*t - 2*s, j = 4*t - s - 6 + 21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-15) - -1)*(-4)\/6\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1190*y**3 + 3*y**2 - 1. Let g be w(-1). Let q = g + -580. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 14 = -2*s. Let a = s - -3. Let d = 5 + a. Calculate the remainder when 3 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100202 + -1?\nAnswer: 2100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -s - 25691995, -16*p + 4*s = -17*p + 6423020. What is p rounded to the nearest one hundred thousand?\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115801805 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194436 is divided by 953.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z + 3*z - z - 3. Let o be s(3). Let p(k) = 2*k**2 + 8*k + 4. Let i be p(o). Calculate the greatest common divisor of 42 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*-10*(-27)\/1575)\/(72\/56)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41 plus 3.35?\nAnswer: 2.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = -4*r - 0*r, 5*r = -5*s - 5. Suppose -r*p + 2*p = 28. Let d = 24 + p. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**3 - 232*k**2 + 2716*k + 2952 = 0.\nAnswer: -1, 18, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -990 divided by -5.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -3783470.\nAnswer: -3\/3783470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.88094 + 1.11802. Let j = -15 + i. What is j rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 10:21 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/(-1632))\/(22\/17)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393925086.\nAnswer: 2, 3, 331, 22039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404650.\nAnswer: 2, 5, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n**2 - n + 2. Let s be c(2). Suppose 5*v + s = v. Let m = v + 11. Solve 0 = 2*t - 6*t + m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32360347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 - 98 = -4*j + 3*t, 2*j = -t + 86. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4479*y**2 + 4*y**3 + 7 + 4375*y**2 - 8854*y**2.\nAnswer: 4*y**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746215 is divided by 93188.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -7.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -7*i**6\/120 - 2*i**5\/15 + i**4\/4 + 227*i**2. Find the third derivative of g(y) wrt y.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111489 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 587337 divided by -14\nAnswer: -587337\/14","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2902906, 2902890, 2902872, 2902852, 2902830, 2902806, 2902780?\nAnswer: 2902752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*k, o - 2*k = -k + 7. Suppose z = -o*t - 4*z + 169, 2*t = 4*z + 52. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from emtemessteseeesrt?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 98 (b) -4 (c) 1\/18 (d) -2 (e) -0.09 (f) -5 (g) -56\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 418, 421, 436, 469, 526, 613, 736?\nAnswer: 901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l - 14. Let s be k(-10). Let m(b) be the second derivative of 10*b + 0*b**5 + 11\/30*b**s + 0 + 0*b**3 - 2*b**2 + 0*b**4. Differentiate m(d) wrt d.\nAnswer: 44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**3 - 6*q**2 - 2*q**3 - q**2 - 2*q**2 wrt q.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25\/11 in 0, 2\/13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-5))\/((-6)\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -3*m - 4*g, 5*m - 152*g + 157*g = 50 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19014 - -0.14?\nAnswer: -19013.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 + 1345. Calculate the remainder when o is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 320313?\nAnswer: -4\/320313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11.3, 0.00099, 3?\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 763 - 453. Let z = -123 + c. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (148\/777)\/(12\/14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in 89, -7\/12, 0.4?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from xueeehuee.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 2*c + 2*c - 3*c - 1 + 1 + (1 + 3 - 6)*(5*c + c - 4*c) + 2*c + c - 9*c + (25 + 17 - 15)*(c - 5 + 5) to f*c + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 6*d - 6. Let a be k(6). Suppose -4*c - t + 16 = 0, 0*c + 5*t + a = 2*c. Suppose -b = -c - 4. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 - 7. Let i(d) = d**2 + 47 - 23 - 7*d**2 + 2*d**2 - 18. Determine 4*i(x) + 3*q(x).\nAnswer: -x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 18*j = -19*j - 7, 4*i + 5 = -3*j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-54))\/(-2 + 5\/3). Is t at least as big as -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 440.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, m: 1, z: 1, h: 6, i: 3, t: 6}. Give prob of picking 1 u and 1 h.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143 + -144.29. Let l = -0.71 + x. Let a = -31\/3 + 12. What is the biggest value in l, a, 0.051?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182342\/(-11764)*456\/(-62)\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84384562.\nAnswer: 2, 23, 1834447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*n - 28629 + 28589 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*u - 1320, 2*u + 3*v = -0*u + 1328. List the prime factors of u.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -888 bigger than -530684\/597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 4:55 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.544 - 0.044. Let y = 34.82 + 0.18. Let u = y - 40. What is the biggest value in 0.4, f, u, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**3\/9 - 3175700*j**2\/9 + 630318493472*j\/9 - 630315317776\/9 = 0.\nAnswer: 1, 396962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -289 (base 15) in base 13?\nAnswer: -357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*y**3 - 12*y**3 + 14*y**5 + (-1 + 1 - y**5)*(-1 + 3 - 3) - 2*y**5 + 2*y**5 + y**5 + 2*y**5 + 3*y**5 - 3*y**5.\nAnswer: 18*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -207, 30, 0.1, 2\/23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 4*j + 15, 3*j + 47 - 31 = -4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70810 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 4*n - n + (4 + 0 - 3)*(3*n + 0*n - 2*n) - 3*n + 0*n + n + 3*n + 2*n - 3*n)*(12*n - n + 0*n).\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 17005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 32. Let f be 40\/(-6)*(-9)\/j. Let y(l) = l**3 - 13*l**2 + 13*l - 16. Let b be y(f). Let a(u) = u**3 + 4*u**2 + 2*u + 6. Calculate a(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.837044745 to 1 decimal place.\nAnswer: -13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in hours?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7d2 + -3?\nAnswer: 7ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 413, 0, -3, 5, 209 in decreasing order.\nAnswer: 413, 209, 5, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 = -3*o. Find the third derivative of o*k - 4*k - 3*k**3 - 205*k**2 + 206*k**2 wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t + 12*t - 10 + 10. Let b(k) = -3*k**2. Give b(u(q)).\nAnswer: -588*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -50. Let k = -70 + o. Does 28 divide (56\/10)\/((-9)\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100000 - 22021220211?\nAnswer: -22022020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -943.06 + 943.1. Let f = -6 - -8. What is the closest to f in 1\/3, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - d = -1270, 0 = 2*h + 2*d - 737 + 237. Suppose -5*z + 0*z + 5*f = -h, -2*z + 98 = -f. What is the highest common factor of 47 and z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - -4. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*t + 2*t**2 + 6 + 2*t**2 - 6*t**2 + 11*t to the form n + a*t**2 + o*t and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 507939640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/3)*u)\/((u\/u**(1\/4)*u)\/u)*u**(3\/2)*u**(-4)\/u assuming u is positive.\nAnswer: u**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443884248?\nAnswer: 2, 3, 6165059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 4 + 3*t**2 + 2*t**4 + 9 - 4 to the form f + n*t**4 + w*t + l*t**2 + d*t**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/((-23)\/2)*(-42)\/(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t - 264. Let p be h(-42). Let n be 132\/p*(-655)\/(-5). What is n rounded to the nearest 10?\nAnswer: -1440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 + -1 + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.9388 + 0.0612. Which is greater: 2\/15 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 30 - (18 - (8 - -18)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32133, -75456, -118779, -162102, -205425, -248748?\n\"Answer: -43323*g + 11190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-8) + 49\/84)*57\/(-190). What is the biggest value in -1618, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*j, 0 = 6*w - 2*w + 3*j + 12. Let r(p) = -p**3 - 7*p**2 - 13*p + 5. Let m be r(w). Let d = 254 - m. What are the prime factors of d?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 372.924 + -372. Let k = y - -0.036. Round k to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -3. Let p be (o\/2)\/((-33)\/22). Let d be ((-3)\/(-6))\/(p\/12). Solve 5*g - d*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k**2 - k)*(-k**2 + k**2 + k**2) + (-13 + 13 + 6*k)*(65 - 65 + 31*k)*(0 + 2*k + 0)*(-2*k - 8*k - 5*k) + 3*k**4 - 2*k**4 + 0*k**4.\nAnswer: -5580*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 10*c - 3006. Let y be t(-74). Calculate the highest common divisor of 60 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*q, 3*j - 5*q + 1 = 12. Let v(h) = 0*h - 3*h + 2*h - 4*h - 16. Let t be v(-8). What is the greatest common factor of t and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-828)\/(-24))\/(-11 + 6) and 1\/606.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.12 - 0.22. Which is greater: z or -2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -20*t**3 - t**2 + 1. What is the remainder when 75 is divided by j(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from gygygyygyyygggyygyg.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u - 1. Suppose 2*m = -2*m. Solve m = u*p + p - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v**(-4\/13)*v))))\/v*v*(v**(-2\/7)\/v*v)\/v)\/((v**3*v)\/v*v**(-5\/3)) assuming v is positive.\nAnswer: v**(-631\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 14. Let a be ((5 - 6) + 4)*-1. Let k be h(a). What is the second derivative of -5*j - k*j + 8*j + 24*j**5 wrt j?\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8 - 2.7. Let o = 1.1 + 1. Let l = 2 - o. Which is the closest to 0.1? (a) 1\/2 (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 16*o + 7*o. Let i(h) = h**2. Determine c(i(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 842*a - 708*a + 1876 = 0 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 + 2. Let j = h - -74. What is the smallest common multiple of 90 and j?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9*s - 1. Let f be d(-1). Suppose -v + f = 2. Suppose -5*h - 2*q = -6*q - 18, 5*h = -2*q + v. What is the nearest to -1 in h, 0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287, 263, 221, 161, 83?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q - 2*z + 9, 17 = 5*q + 4*z. Let n(c) = -c**2 - c - 1. Let l(h) = -5*h**2 - 8*h - 7. Let d(j) = q*l(j) - 6*n(j). Determine d(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -10*y - 42 - 23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -532 + 3272. Does 33 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -145571 - -145565. Let n be (-21)\/6*(1 + -3). Which is the closest to f? (a) -3\/8 (b) n (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a09a7 (base 11) to base 9\nAnswer: 520363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1103 (base 7) to base 14\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 14 = 4*o + 11*m, o - m = 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305893615, 305893613, 305893611, 305893609, 305893607?\nAnswer: 305893605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 79\/2. Let j be (-150)\/(-138) - 32\/368. Is b greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -3.5535.\nAnswer: 1.77675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (620\/35)\/(-31)*42*8\/(-108)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 1 - 9*z**3 - 2*z + 10*z**3 + 3*z. Calculate o(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 8. Suppose z*o - o - 4 = 0. Solve o*j + m + 2*m = 22, -2*j - 2*m = -18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 15 - 7 = -11*l, 3*l + 0 = -z + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-2) - 56\/((-560)\/(-30)). What is the smallest value in -0.2, z, 112\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 8)*((-534)\/9 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 487812.7 nanograms in micrograms?\nAnswer: 487.8127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 7*s**2 + s + 13. Let f be p(-7). Suppose f = -2*i + 4. Let g = 4 + i. Solve 4*d = 5*m + 8, m = g*d + d - 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/15))\/a**(1\/22)*(a\/(a*a**(3\/5))*a)**37 assuming a is positive.\nAnswer: a**(5221\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 1880 = 67*z + 452 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, i: 7, x: 3}. Give prob of sequence pxxx.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5607 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65518 + -38459. Suppose -4*g + 21636 = -4*r - 0*r, 5*g + 2*r - q = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -611 - -620. Solve -2*k + 5*b + 10 - 2 = 0, a = -3*k - 3*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1640*x - 6118*x**5 + x**2 - 2166*x + 1385*x + 9789*x**5 wrt x.\nAnswer: 73420*x**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-141)\/(-2))\/(51\/68). Let n be p\/14 + 1\/(14\/4). List the prime factors of n\/14 - ((-254)\/4 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 10:01 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2446295.4 to the nearest ten thousand.\nAnswer: -2450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/11))**(-29))**(-3\/14) assuming i is positive.\nAnswer: i**(-87\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -144 (b) -3\/4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 28*a - 12 + 27 = -304 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d + 16. Let z(p) = 3*p - 8. Let a(c) = -2*m(c) - 3*z(c). What is a(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**5\/30 + q**4\/6 - q**3\/3 + 8*q**2. Let c be d(2). Solve -3*s - o - c = -0*o, -2*o = 4*s + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 less than -0.4?\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 3*j + 7. Suppose -12*q = 5*c - 13*q + 21, 4*c + 3*q + 13 = 0. Give x(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -290 + 303.9. Let u = -17.74 + z. Let k = u + -0.16. Which is bigger: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3204640, 6409276, 9613912, 12818548, 16023184, 19227820?\n\"Answer: 3204636*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -1\/2 (c) -4\/15 (d) -0.4 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1719275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 29. Let r = b - 6. What is the nearest to 0 in r, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/6 + 6\/36. Suppose -4*h - 3*l = -99, j*h + 46 = 2*h - 2*l. Calculate the remainder when 95 is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -578*b**2 - 16 - 16 + 580*b**2 to a + g*b + x*b**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 69195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(500)*1 + sqrt(500) - sqrt(5) - sqrt(5))*1)**2 + (sqrt(80) + (3 + sqrt(80))**2 - sqrt(20)))*1.\nAnswer: 104*sqrt(5) + 6836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 11*l - 9*l. Let x = 166 - l. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -20. Suppose 0 = 4*l + 8, -2*l = -p*z - 3*l - 3965. What is z rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4732.448 millilitres in litres?\nAnswer: 4.732448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4718 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -2\/9, 43, -5, -2\/21, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = -q, -5*u = 6*q - 4*q - 18. Solve -r + 9 = u*v + 3, 0 = -3*r - 4*v + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-8 - (-9 + 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 - 670 = -2*q - 2*j, 0 = 2*q - 2*j - 994. List the prime factors of q.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**4\/l**(-3\/4))**2)**(-1\/6))**23 assuming l is positive.\nAnswer: l**(-437\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, g: 3}. Give prob of sequence ggrg.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 0.02 (c) -1\/6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/29 in 1, 4, 1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/6256 and -79\/2576.\nAnswer: 43792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*q**2 + 56*q**2 - 105*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w**2 - w)*(3*w + 3*w - 4*w) + 30*w**3 - 17*w**3 + 50*w**3 + 3*w**2 - 3*w**2 - 4*w**3.\nAnswer: 55*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 - -2.2. Which is the closest to 1? (a) 3 (b) 0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - t = -81, -503*b + 999*b - 17*t - 22*t + 2571 = 497*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112.1291 centuries to years.\nAnswer: 11212.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*t - 41, 5*o - 9*o - 5*t + 7 = 0. Suppose -5*s = 4*i, 4*s = 2*s - o. Calculate the least common multiple of 42\/i - 34\/85 and 74.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -5814\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34860176*j**3 + 38480400*j**2?\nAnswer: -209161056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.058 + 0.458. Let m = -4.21 - -0.21. Which is the closest to m? (a) h (b) 1\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20949281 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15874399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r. Let q be z(1). Let f(l) = -l**2 + l. Let g(h) = h**2 + 7*h + 10. Let k(w) = 2*f(w) + g(w). Calculate the remainder when 55 is divided by k(q).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**4\/12 - 2*l**3\/3 + l**2\/2 + l. What is the units digit of d(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5\/3 - 1820*l**4\/3 - 890008*l**3\/3 - 55481792*l**2\/3 - 211305232*l\/3 - 207774272\/3 = 0. Calculate l.\nAnswer: -874, -68, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + m - 7. Let f be g(-3). Let a be 10 - ((-7)\/f + -4). What is the greatest common factor of 21 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45, -150, -335, -606, -969?\n\"Answer: -b**3 - 34*b**2 + 4*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*q = -6, -3*b + 5*q + 2 + 8 = 0. Suppose 5*j = -b*j. Let a(m) = m**2 + 11. Is a(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*a**2 - 2760*a**2 - 67*a**2.\nAnswer: -2942*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 35*j**3\/3 - 3586. Let l(y) = -3*y**2 - 30*y. What is l(x(h))?\nAnswer: -3675*h**4 - 1050*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q = -45. Suppose 0 = -38*k + 23*k + 90. Suppose 3*w - k*w - 4*n = 30, 0 = -5*w + 5*n - 85. Is w > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -9*x**4\/2 + 40*x**3\/3 + 17. Find the third derivative of w(i) wrt i.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 637 + -139. List the prime factors of y.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 354 - 502. Let l = s + 209. Let j = 354 - l. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -83083 + -1?\nAnswer: -83084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a - 78 = 35*a. Calculate the remainder when a is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnxynxnxrnxxxxxnnxxw. What is prob of sequence xnyx?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 - 2*v**2 - 2. Let k be l(2). What is the remainder when k\/3 + 14 - 2 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9}. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 56?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + p - 172 + 15 = 0, -p - 161 = -3*w. Calculate the remainder when w is divided by ((-9)\/6*(-4)\/6)\/((-9)\/(-63)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29179\/3546 - 29\/591. Find the common denominator of (-16)\/(-54)*(-3)\/2 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3436700 rounded to the nearest one hundred thousand?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d**2 + 5. Let p(q) = 8*q**2 + 6. Let j(h) = -6*p(h) + 7*y(h). What is j(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130\/(-2184)*7 - (-5)\/3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*w**2 - 3 - 30*w**4 + 60*w**4 - 30*w**4 + 42*w**5 wrt w?\nAnswer: 2520*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48596 + 48592. Let v = -5 + 0. Put 1, 3, v, b in descending order.\nAnswer: 3, 1, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/4 + 11*z**4\/4 + 9*z**3\/2 - 19*z**2 - 62*z - 48.\nAnswer: (z - 3)*(z + 2)**3*(z + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2, 3\/17, -1\/8, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 3*n**2 + 3*n**2)*(n**2 - n**2 + 2*n**2) - 4*n**4 - 5*n**4 + 5*n**4 + (n**2 - 3*n**2 + 5*n**2)*(-n**2 + 2*n - 2*n) + 0*n**4 + 6*n**4 - 3*n**4.\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 - 6218284*i**3 + 18654816*i**2.\nAnswer: 4*i**2*(i - 1554568)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*y**3 + 67*y**3 - 37*y**3 - 441*y + 1332*y.\nAnswer: 2*y**3 + 891*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 51*l**2 - 49*l + 90. Let v be q(-52). Which is smaller: v or -36?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 6 + 29 = 4*k, -5*n = -25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 5*g**2 - g + 5. Suppose -q + 0*q + 1 = y, 4*y + 21 = q. Let d be z(q). Solve l - 4*l = 2*m - 19, d = -5*m - 3*l + 34 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 + 21956*p**4 - 4*p**5 - 21956*p**4 + (-31 + 31 + 5*p)*(-2*p**2 + 2*p**2 - 2*p**4).\nAnswer: -14*p**5 - 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*k = 26*k + 462. Suppose x + 36 - 108 = 0. Let s = x + -51. Calculate the highest common factor of k and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 4. Suppose -2*z - 5*n + 5 = j*z, 3*z - 17 = 4*n. Solve -z*p + 3*a = -a + 21, -5*a = -2*p - 21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 11 - 124*v + 35 + 13. What is the tens digit of m(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**3 + u**2 - 6*u - 8. Let n(p) = 8*p**3 + 3*p**2 - 17*p - 23. Give 6*n(h) - 17*z(h).\nAnswer: -3*h**3 + h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -10. Let i = g + -5. Is 2 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3685\/1206 + (-1 - (4 + -2)). Let g(b) be the second derivative of -1\/36*b**4 + 4*b + 1\/3*b**2 + z*b**3 + 0. Factor g(c).\nAnswer: -(c - 2)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 1:14 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) 43 (c) 55 (d) -2 (e) -32.7 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 655 + -655.2065. Let g = q + 0.2. What is g rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - 21. Let h = 55 + l. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1465103054.\nAnswer: 2, 419, 1748333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 2*t - 8*y, 0 = -19*t + 23*t + 5*y + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 251069 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(2 + (0 - 1)). Suppose 0 = -5*f + 4*t + 159, 4*f - 127 = -h*t + 3*t. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*q - 510*q + 5330 + 8479 = -345 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*r - 1590 = -115*r + 555 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(640)*5)\/sqrt(8).\nAnswer: 4 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = c + 2*h - 10, -2*h = -6. Suppose 0 = -2*m - 3*m - 0*m. Put c, -1, m, 5 in decreasing order.\nAnswer: 5, c, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-10)\/4))\/(3172\/36478)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/1006 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - 130?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.061 - 920.939. Let w = 920.99544 + o. Round w to four decimal places.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 4:14 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**5\/15 - z**4\/2 + 4*z**3\/3 - 4*z**2\/3 + 116. Find j, given that q(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 1309170*q - 428481522225.\nAnswer: -(q + 654585)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47\/2 + 24. Let y(i) be the first derivative of 2*i - i**3 + 1 + g*i**2. Determine y(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26730*q + 6899*q - 826*q in the form h*q + j and give h.\nAnswer: 32803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-27))\/(2\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30250 + 11?\nAnswer: -30235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3130200 * -0.3\nAnswer: -939060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -19*d**3 - 3*d - 2. Let h be s(-1). Suppose -4*l = -5*a + 17, 3*a - 7*l = -12*l + 25. Calculate the highest common divisor of h and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87811 > -87809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*c**3*k + 898*c**3 + 271*c**2*k + 2*c*k + 2*k - 2 wrt c?\nAnswer: 102*k + 5388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91680439.\nAnswer: 17, 5392967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 1:09 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q + 53 + 67 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1226 + -0.0774. What is the smallest value in y, 0.49, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203813514 to the power of 1\/2, to the nearest integer?\nAnswer: 14276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 6*b**5 - 44*b**4 + 100*b**3 - 56*b**2 - 42*b + 36 = 0.\nAnswer: -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/((-65)\/(-70) - 3\/6). Let f be ((-2)\/8)\/(s\/(-728)). Let y be -1*f\/(-4) - 3. Which is the closest to 1\/5? (a) y (b) 4 (c) 1\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5956 - -5957. Calculate the least common multiple of 824 and a.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*q + 6. Let l = 23 - 25. Let t be (-368)\/(-160) + 1*l. Sort q, 1\/11, t in decreasing order.\nAnswer: q, t, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c - 6*c - 2*c + 15 - 16 - 5 to r + d*c and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**8\/504 - b**7\/126 + b**6\/120 + b**5\/180 - b**4\/72 + 12*b**2. Suppose t(c) = 0. What is c?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (10 + (3 - (14 + -15))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 960\/581 or 2?\nAnswer: 960\/581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**3 - 18398*c**2 + c - 9. Determine h(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 4791394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*13\/(-3) - 5. Let s(w) = w**2 - 9*w + 4. Determine s(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 - 18*z**2 - 2*z + 33. What is the units digit of y(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2227.\nAnswer: 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30 - 0)*48\/60. Let a(l) = -l**2 + 23*l + 27. Let x be a(o). Calculate the greatest common divisor of 2 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 230850*c**3 - 2867737*c.\nAnswer: 1385100*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1dd5 (base 16) in base 11?\nAnswer: -5813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 + 14*y**2 - 2*y + 16. Let w be n(7). What is the third derivative of -13*m**w + 4*m**2 + 16*m**3 - 16*m**2 - m**4 + 32 - 31 wrt m?\nAnswer: -24*m + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.28 + -0.18. Let j = 5.3 + b. Round j to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 7*c - 21. Let s be p(10). Solve 0 = 4*i - i - s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 5*s**2 - 6*s - 3. Let l be o(-4). Suppose 6 = -2*c + l*c. Let m(r) = -4*r + 2 - 3*r**2 + 0*r + 2*r**3 + 3*r. Determine m(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264463394?\nAnswer: 2, 13, 19, 535351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 29640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1276 - 28*z**2 - 1278 - 17*z**2.\nAnswer: -45*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9.09, 1\/8, -0.1, -0.5, -12, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25340931*z**3 - z**2 - 26973042*z.\nAnswer: -152045586*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*o = 3*q + 20, 12 = -3*q + 4*o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(4 - 3 - 20)*(-i + 4 - 4).\nAnswer: 19*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29506 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3462 + -3457. Solve 0 = -t*f + 15*x - 12*x + 20, -3*x - 15 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 15*t = 9. Let l(z) = -z**3 - 5*z**2 + 4. Let n(w) = w**3 + 5*w**2 - 3. Calculate t*l(g) + 4*n(g).\nAnswer: g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 42 + 58 - 12*k - 2*k. What is the hundreds digit of x(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -11*r - 6*p + 15, 3*r - 3*p - 15 = 0. Which is the closest to r? (a) 2 (b) 0.2 (c) 3 (d) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4*l - 409 - 699, -4*l + 1430 = 5*w. Suppose 276*s + 96 = w*s. What is the greatest common factor of s and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 42\/9 - (-2)\/6. Suppose 25 = z*r, r = -s - r. Does 12 divide (s\/(-25))\/((-1)\/(-70))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 682 - -835?\nAnswer: 11b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1979*0.8355.\nAnswer: 1653.4545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169 - -281. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -10099*u - 110779. Determine q(-11).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 5:23 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**8\/336 + 413*a**5\/30 - 11*a**4\/12 + 6*a**3 - 4044*a**2. Find the second derivative of q(j) wrt j.\nAnswer: 20*j**3 + 1652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-79)\/95*16\/(-64) and 131\/228?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*0*4\/(-32)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2684902607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3641994 to the power of 1\/2, to the nearest integer?\nAnswer: 1908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 439 = 5*p + 1210, k + 2*p = 354. Calculate the greatest common factor of 328 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 18*c**7\/7 - 14*c**5\/5 + 1126*c**3\/3 + 430. Find the third derivative of m(v) wrt v.\nAnswer: 2160*v**3 - 336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*h**2 - 5)*(4 - 3 - 2 + (0 - 1 - 1)*(1 - 3 + 4) + 0 + 4 - 3 - 25 - 21 + 59).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + p**2 - p - 1. Let c(f) = f**3 + 2*f**2 + 2*f + 1. Let v(l) = c(l) - 2*d(l). Determine v(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 165660, 165661, 165662?\n\"Answer: i + 165659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57918.7 - -50946. Let d = f - -6935.753. Let r = d + 37.2. What is r rounded to two dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-39*(-9)\/4563\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-22 - (-15 + 3) - (-1 + -1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 2*m**2 - 7*m**2)*(4*m - 18 + m**2 + 18).\nAnswer: -5*m**4 - 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpyz when four letters picked without replacement from {p: 3, l: 3, b: 2, z: 2, y: 3}.\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-636)\/(-15) - (-2)\/(-5). Let i be (g\/(-8))\/((-3)\/8). List the prime factors of 2196\/42 + (-4)\/i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5819495 - 44*q + 11639007 - 5819512.\nAnswer: -44*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -10*w**5\/3 - 136*w**4\/3 - 554*w**3\/3 - 596*w**2\/3 - 8*w + 48 = 0.\nAnswer: -6, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 221*s - 36684. Let m be u(166). Factor 7*p - m*p**2 + 1\/7*p**3 + 0.\nAnswer: p*(p - 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + 9*u + 38. Let l be ((-4)\/(-12)*-2)\/(6\/81). Is k(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4022, -8080, -12156, -16256, -20386, -24552, -28760, -33016?\nAnswer: -37326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-14))\/(361\/(-361)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -206660330727559786.00000087 - -206660333387378668. Let a = 2659818849 - c. Let u = a - -33. Round u to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(35)\/(sqrt(7) + sqrt(21)\/sqrt(3) + sqrt(7))))\/((sqrt(242) + sqrt(242) + -1*sqrt(242))*3 + sqrt(242)).\nAnswer: 3*sqrt(7)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 917\/6558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170970255?\nAnswer: 3, 5, 47, 229, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*p + 95*p - 108 - 276. Let j(r) = -r**3 - r**2 - 3. Let l be j(0). Put l, 5, 4, p in decreasing order.\nAnswer: p, 5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 - 33*k - 106. Let p be t(-11). Solve 3*w + 7 = -g, p*w - 11*w = -g - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1784 is divided by 86.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5073407 + 3?\nAnswer: -5073404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 351.1038 rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1001202220000 (base 3) to base 4\nAnswer: 2022101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -4\/3, 3, 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9356 and 80.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 3*u**2 + u**2)*(-u**3 - 1 + 1) + (u**3 - u**3 + u**5)*(6 - 2 - 1).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -221, -4, -48?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3027 - 2099. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 69*k**2 + 247*k + 4. List the prime factors of b(12).\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3*l - 5 = 0, 18 = -11*t - 2*l + 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 8\/6)*3. Solve 0 = -5*n + f*n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152)*-1*3)\/((1*sqrt(72))\/sqrt(12) - -6*sqrt(24)\/sqrt(4)).\nAnswer: -24*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 4, -36*d + 17 = -32*d - c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1dc (base 14) in base 12?\nAnswer: -286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) - (sqrt(684) - (1 + sqrt(684)) - sqrt(684)))*-5 - (sqrt(19) + sqrt(76)\/(sqrt(16)\/sqrt(4)) - sqrt(152)\/(sqrt(8)*-1)))**2.\nAnswer: 630*sqrt(19) + 75436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**3\/2 + 26*v. Let d(n) be the first derivative of -n**2 - 2. Determine d(c(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d - 99 - 146 = 0. Let g(h) = -h**3 - 8*h**2 + h - 2. Let k be g(-8). What is the remainder when 2*d\/k + 54 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -12 (b) -6\/11 (c) 1\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-2)\/8 - (-252)\/144. Let j = -101 + 77. Let m(f) = -f**3 - 24*f**2 - f - 19. Let t be m(j). Solve 0 = n*s + 3*s + t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -8\/9*p - 2\/3*p**2 - 1\/3 + 1\/9*p**4 + 0*p**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b (base 13) to base 15.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2317*b - 7910 = -23249 - 17099 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7008116 minutes in microseconds?\nAnswer: 42048696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 89*t + 84*t + 13, -a + 7 = 3*t. Solve a*c - 20 = -24 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + c + 2. Let f be y(2). What is the remainder when 232 is divided by f + 0 + (0 - -47)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.159785 minus 0.09?\nAnswer: -1.249785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -15*1*(-1)\/3. Let k(y) = 24*y - 17. Let d(x) = -14*x + 10. Let u(o) = -7*d(o) - 4*k(o). Calculate u(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18875, -75697, -170399, -302981, -473443, -681785?\nAnswer: -928007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 896715*u**3 + 11*u - 12 - 896712*u**3 + 12.\nAnswer: 3*u**3 + 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**4\/6 + 939*a. Let h(b) = 2*b**2 + 21*b**2 + 33*b**2 - 17*b**2. Give h(s(d)).\nAnswer: 156*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 20\/9 of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)*((a**(8\/9)\/a)\/a)\/a)\/((a\/((a\/(a**(8\/7)*a))\/a))\/(a**(-3\/4)\/a)) assuming a is positive.\nAnswer: a**(-2269\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*v - 403*v = 162 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.00207 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Suppose 5*j + 5 = 0, 0 = 3*s - 4*j - 6 + 2. Suppose -7*z - 1 + 22 = s. Calculate the smallest common multiple of q and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 16113400.\nAnswer: 16113400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*k**2 + 19 - 27 + 105*k**2 - 28 to i*k + s + f*k**2 and give s.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 19*h - 13*h. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184288 (base 9) in base 4?\nAnswer: -130000013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 7*t**2 - 6*t + 9. Let c be p(-8). Let l = c - -7. Let b be (-1)\/((-27)\/(-6)) - l. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -106*z**2 - z. Let a(i) = -i**2. Give t(a(r)).\nAnswer: -106*r**4 + r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 4 (c) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 756883913 to the nearest integer?\nAnswer: 27512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2411 + -2409. Solve 12*p + 70 = -n*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6597*m**2 - 4756 wrt m?\nAnswer: 13194*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2165*b**2 - 4*b - 20. Let y(m) = -1405085*m**2 + 2598*m + 12990. What is -1299*g(k) - 2*y(k)?\nAnswer: -2165*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**4 - 3815*q**3 + 269145*q**2 + 34335*q - 2421900 = 0 for q.\nAnswer: -828, -3, 3, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5*j - 9845, -2*j + 5698 = 5*c - 6587. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z + 46. Let b be q(10). Let i(p) = b*p - p - p - 7 - 2*p. Let o(j) = 3*j - 13. Let r(x) = -5*i(x) + 3*o(x). Determine r(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 divided by 745.\nAnswer: 71\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2862\/(-2457)*-26*(-7)\/(-6)*(-15)\/(-10)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/(247\/(-380)*-4)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 923685 and 385.\nAnswer: 10160535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1393 - -1410. What is the remainder when 692 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40266.\nAnswer: 2, 3, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11632)\/(-18) - (-10)\/(-45). Suppose 17*o = r - 136. Solve -z = 4, 2*h - o = -3*h + 5*z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -118*u**5 - 406*u**4 + 59316*u**3 + 145624*u**2 + 52624*u = 0.\nAnswer: -23, -2, -26\/59, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1121 = -95*z + 1159 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24, -72, -150, -258, -396, -564, -762?\n\"Answer: -15*t**2 - 3*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18749\/804 + 14\/201. What is the common denominator of 6\/(-15) + 376\/90 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/6*-2*(-29 + 2). List the prime factors of (352\/(-20))\/((-9)\/b).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1843.962*0.1.\nAnswer: 184.3962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/4))**(1\/13)\/(j**(-1))**2)**(-44) assuming j is positive.\nAnswer: j**(-1177\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 348 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -900 + 912 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000055347931 rounded to 7 decimal places?\nAnswer: -0.0000553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 53 (b) -2\/5 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -55. Let p(b) = -7*b**3 - 20*b**2 - 27*b - 29. Let a(m) = 3*m**3 + 10*m**2 + 13*m + 14. Let c(d) = k*a(d) + 2*p(d). Determine c(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g**2. Suppose -o - o = -a + 50, a - 80 = -4*o. Let v(q) = 25*q + 34*q - a*q. Give v(s(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7246*c**3 - 20*c + 188?\nAnswer: 43476*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 107251, 1\/11, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*q**2\/5 + 471621*q\/5 - 72558\/5.\nAnswer: 3*(q + 12093)*(13*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - 3 - (-49 - -108)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 35. Let l = 25 + m. Solve -4*y - 6 = -l*v, 2*y - 12 = v - 6*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4505 divided by -265?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 450 - 360. Suppose -4 = -j + 1. What is the third derivative of h*t**3 + j*t**2 + 10*t**4 - 90*t**3 wrt t?\nAnswer: 240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + 0*v**2 + 4*v**2 + 3*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*x = x + 305 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (105640\/50179)\/(2\/38)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756 divided by 9?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -3, -199.4, -0.1186?\nAnswer: -199.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-210)\/(-35))\/(4*-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3\/2 (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180086489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 - (-1720)\/56. Suppose -p = 3*f - x, 4*f - 43 = 2*p - 3*p. Let v(y) = -2*y**2 + 24*y + 4. Let j be v(f). Solve j*h = 7 - 23 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {y: 6, i: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -14. Let a = 11 + t. Suppose -5*u = -4*q - 113, a*u + q - 103 = -0*q. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121312301331 (base 4) to base 6\nAnswer: 401135313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/w**(2\/9)))*w*(w\/(w\/w**3))\/w)\/(w**2)**(-8\/3) assuming w is positive.\nAnswer: w**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3755692 and 40?\nAnswer: 37556920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29\/4 + -8. Let g be (-66)\/(-308)*(-1)\/((-9)\/(-6)). What is the nearest to g in -1, s, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -55*b**3 - 22*b**2 - 24*b - 33. Does 14 divide m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - z = -11, m + 30 = 6*m + 4*z. Let k(a) = -4*a**3 - 87*a**2 - 5*a - 586. Let g be k(-22). Solve -4*w + 4*c = g, -10 = w - c - m*c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4921 + -3524. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-9)*r*r*(r**(-2\/11)*r)\/r)**(-8\/5)\/((r\/(r**(-7)*r))\/(r\/r**(-3\/5))*(r**(1\/4)\/r)**(-2\/81)) assuming r is positive.\nAnswer: r**(-72253\/2970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/312)\/((-2)\/4). Let k = 108\/7 - 15. Sort 0.2, k, l, -3.\nAnswer: -3, l, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3749?\nAnswer: 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + (3 - (8 - 7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -20*n**3 - 298*n**2 + 32*n - 6. Give w(-15).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 409327, -4, 153 in descending order.\nAnswer: 409327, 153, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/940 and 37\/564.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1868238227 to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhh. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002496 to 6 decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/6 - 1268971*a**3\/6 + 89468939725*a**2 - 37862533347691250*a\/3 + 4577437914753687500\/3.\nAnswer: (a - 422950)**3*(a - 121)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4\/7 + 15*u**3\/7 - 51*u**2\/7 - 9*u = 0.\nAnswer: -7, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 16) in base 5?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-21) - (-256)\/14. Let s = z + -8. What is the highest common factor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-7)\/(21\/12). Let i = z + 11. Suppose 3*j = -i - 2. Put j, -3, -1 in decreasing order.\nAnswer: -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + (6*(-1 + sqrt(539) + -1*sqrt(539) + sqrt(539) + -4 + -2*sqrt(539)))**2).\nAnswer: -121812 - 15120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/(-8))\/(-5)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, d: 4, c: 2}. What is prob of sequence vd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t + 33*t + 130*t + 52896 = -710*t for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 463964278?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 18*m**2 + 3*m - 16. Let g be p(-18). Let j = 219 + g. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155.7 - -66.7. What is i rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*m**3 - 106*m**2 wrt m.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19714*c**2 - 2*c**4 + 14 + 3*c**3 - 9861*c**2 - 9855*c**2 to the form n*c + f*c**2 + a*c**4 + u*c**3 + y and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -n + 2*n. Suppose 1 = n*z - 7. Suppose 0*i - z*i + 28 = 0. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/5 (b) -0.3 (c) 1.2 (d) -30.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 164.1 + -164. Is -0.195 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228814 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02132 to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a*l**3 + 18521*a*l**2 - 11*l**3 + 5*l**2 + 83*l + 3 wrt a.\nAnswer: 3*l**3 + 18521*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*c**4 + 6*c**5 - 1255*c**3 + 2*c**2 + 420*c**3 + 426*c**3 - 5166*c + 409*c**3 wrt c?\nAnswer: 120*c**3 - 120*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5604583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 + c**2 - c. Let r(m) = 14*m**3 + 17*m**2 + 5*m. Let o(i) = r(i) - 6*t(i). What is the second derivative of o(q) wrt q?\nAnswer: 12*q + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 72838417278 and 2.4.\nAnswer: 72838417280.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - f + 2. Let s be d(-2). Let n be (16\/(-6))\/(s\/(-5490)). Round n to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1100211130 + -10?\nAnswer: 1100211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12126 and 18.\nAnswer: 36378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -394, -16925, -44476, -83047?\nAnswer: -132638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 + y + 1. Let h be d(-1). Suppose c = -0*v + 3*v + h, 5*v = -5*c + 10. Solve 5*g - 3 + 6 = -3*x, 2*x - 2 = -c*g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/60 and 19\/259?\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-230)\/(-55) - (-4)\/(-22). Suppose h + 14 = o - 3*h, 0 = -2*o + c*h + 16. Solve 2*v - 10 = m, 0*m - o*v + 10 = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*l - 371 + 406 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78b53 (base 14) to base 12.\nAnswer: 121745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**2 - 4*p - 530. Calculate h(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13089, -26173, -39267, -52377, -65509, -78669, -91863?\nAnswer: -105097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*c = -42*c - 3896. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -32*n - 30*n - 35*n + 107*n - 26. Let c = -2 - -13. Is 21 a factor of k(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(300))\/(sqrt(576)*2).\nAnswer: -5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14088507071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10058?\nAnswer: 2, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7285472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wlwwllwwllwww.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 30. Let t(k) = -88*k. What is t(a(w))?\nAnswer: -88*w**2 - 2640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/126*6\/(-7).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 21*g - 34. Let l be w(6). Let c = l - 85. What is the remainder when 47 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 55*l**2 + 162*l + 156. Let o be a(24). Solve 4*s - 19*q + 16*q = -12, -4*s - 3*q = o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20837, 20835, 20833?\nAnswer: 20831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 3*i**2 + 9*i + 5. Let g(p) = -5 - 3 + 6*p + 4 - p**2. Let y be g(3). Let f be o(y). What is the closest to 1\/4 in -1\/4, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10435 + -11351423?\nAnswer: -11402302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3930121.904 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**0)**(-17))**(-2\/11))**(-50) assuming t is positive.\nAnswer: t**(-1700\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 190*v - 8127. Give d(226).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 611*z**2 - 1836*z**2 + 605*z**2 - 57*z + 612*z**2.\nAnswer: -8*z**2 - 57*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/(-5) - 4\/10. Let a = 0 + y. What is the remainder when 16 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 23 = -3*b - 9, a - 15 = 5*b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7 - 6 = -n, 3*q - 2*n = 2. Suppose q*t = 16, 5*t - 56 = y - 5*y. Let d be (5\/y)\/((-5)\/(-6)). What is the third smallest value in 1, d, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9230 + 9230 - 822*p**2)*(-1 + 4 - 5)*(-p - p + 5*p).\nAnswer: 4932*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86041190.\nAnswer: 2, 5, 8604119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**2 + 5 - 5 + 28*g**2 - 16*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19371 and 810.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26850 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6424 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - v + 1. Let u(k) = -35*k**2 + 61*k - 20. Let z(a) = 17*a**2 - 25*a + 9. Let d(b) = -2*u(b) - 5*z(b). Give d(o) + 5*x(o).\nAnswer: -10*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2711*x - 32 = 2719*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1854393?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5413175*b*k**2 - 2*b*k - 156161279*b - k**2 with respect to k.\nAnswer: -10826350*b*k - 2*b - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3964 + -0.0036. Which is the biggest value? (a) m (b) 39 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -163.69 - -163.42. Which is the second biggest value? (a) t (b) -4 (c) 13 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 t when four letters picked without replacement from nccncnncnncctc?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 42*k - 175. Let j = -381 - -396. Does 13 divide p(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*4*2*sqrt(19).\nAnswer: -32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*g + g = -25, 0 = o + g. Suppose 5*b - 18 - 7 = 0. Solve -b*h + 25 = o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52667*f + 10351*f + 66532*f - 7005*f - 17763*f.\nAnswer: 104782*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 945235 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1220364 - 1?\nAnswer: -1220365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 8. Solve g = -4*b - 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (55\/78)\/((-29898)\/8154)\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201222 - -242442?\nAnswer: 444214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4758 and 14?\nAnswer: 33306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/9 + 898*l**2\/3 - 5920*l + 265400\/9.\nAnswer: -2*(l - 1327)*(l - 10)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21497513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88777447 is divided by 437327?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y**3 - 125*y**3 + 12*y**3 + 24*y**3 + 46*y**3.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27327664 is divided by 364.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18707569?\nAnswer: 53, 352973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 7*o - 2. Let q be o + (-4)\/(-1) + -4. Solve 0 = -5*r - 0*r - q*g - 8, r - 5*g - 20 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r + 22*r - 25 + 22 = -3*a + 26, 4*r - 16 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to 1401\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*y + 66*y - 44 = -64*y + 208*y - 5*f, 2*f + 16 = 6*f for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -46. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 4, 2, -68 in decreasing order.\nAnswer: 4, 2, 2\/13, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52892*l*m**2 + 3*l*m - 417166688*l + 46*m**4 wrt m.\nAnswer: 105784*l*m + 3*l + 184*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**2 + 8*f - 22. Let r be z(4). Let q = 69 + r. Is -0.023 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 7*h**2 + 5*h - 3. Let s be (-16)\/(-12) + (-1)\/3 + -6. Let m be c(s). What is the highest common divisor of 110 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 1 - 2*k + 784*k**3 + 2*k**2 + 4 - 783*k**3 - 2417*k**4 in the form m + a*k**2 + i*k**3 + n*k**4 + w*k and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2126, 2350, 2726, 3254, 3934?\nAnswer: 4766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + j - 2, 0 = 2*y + 2*j - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-16)*23656\/(-14785).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24323 (base 5) in base 13?\nAnswer: ab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 40100?\nAnswer: -9\/8020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 - 0.3. Let m be 0 - (-2)\/2*-1. Which is bigger: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/11))**(-2\/53)*(g\/(g**11*g*g))\/g**(-2\/65) assuming g is positive.\nAnswer: g**(-452924\/37895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -659, -359, 143, 847, 1753, 2861?\nAnswer: 4171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45198 is divided by 869?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*h**4*i - 6*h**4 + 10*h**2 - 7*h + 2*i wrt h?\nAnswer: -168*h*i - 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) + 14150\/15. Let x = i + -4704\/5. Factor 11\/5*z**3 - 2\/5*z**2 + 0*z + 0 - x*z**4 + 7\/5*z**5.\nAnswer: z**2*(z - 1)**2*(7*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.5 + -850255750.233.\nAnswer: -850255745.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -0.7, 4, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:21 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 4*j + 5. Let s be n(0). Let q(h) be the third derivative of h**6\/15 - h**5\/30 - 7*h**4\/24 + h**3 + h**2. Is q(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 53, 104, 153, 200, 245, 288, 329?\n\"Answer: -b**2 + 54*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3*d - d)*(2*d - d**3 - 2*d) + (277*d + 8*d**4 - 277*d)*(3 + 5 + 5).\nAnswer: 106*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 880*r - 483. Is v(11) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1\/3, -1\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3 - 32184*d**2 - 2085258*d - 28015196 = 0. Calculate d.\nAnswer: -16027, -46, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72248528.\nAnswer: 2, 11, 479, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 8*b + 14. Let f be l(-6). Let s = -183 + f. Which is smaller: s or 18\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = 45*g - 177 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1684?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -12 (b) -4 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 4133*t**3\/3 + 1792*t**2 + 3799. What is the second derivative of s(w) wrt w?\nAnswer: 8266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 0*o**2 + 1\/3*o**3 + 0 - 8*o. Let t(c) = -20*c. Determine l(t(j)).\nAnswer: -40*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*i**3 + 125576*i**2 + 281577270*i - 80460900.\nAnswer: 2*(i + 4485)**2*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-264)\/15 + 34811\/24865.\nAnswer: -81\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56272172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*(sqrt(208) + sqrt(208) + -1))**2*-2.\nAnswer: -239904 + 4608*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -185, -275, -365?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -146*s**3 + 135*s**2 - 5*s + 10. Let c(q) = -144*q**3 + 136*q**2 - 6*q + 12. Let f(x) = -5*c(x) + 6*m(x). Find the third derivative of f(w) wrt w.\nAnswer: -936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 8*f. Calculate p(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phhphhphhhphhhhhhhhh. Give prob of sequence pphp.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*q**2 - 13*q**2 - 17*q**2)*(q - q - q**3) + 5*q**5 - 3*q**5 - q**5.\nAnswer: -q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 11. Let h be r(-15). Is 5 a factor of (-8 + 0)*(h - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 - -77. Let r be 248\/(-40) - (12\/(-10) - u). Let y(c) = -c**3 - 6*c**2 - 9*c - 12. What is the tens digit of y(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18326, -36626, -54926, -73226?\n\"Answer: -18300*q - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2)\/(2\/(-78)). Let s = z + 41. Suppose 3*v - 9*o = -4*o + 10, -2*v + 2*o + 4 = 0. Solve -4*p + s*p = v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 4784?\nAnswer: 4784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 31?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/18)\/((-24)\/32).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 205*v**4 + 302618*v + 8354843?\nAnswer: 820*v**3 + 302618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + 9899*k + 2 + 4*k**2 + 67*k**3 - 5 - 9901*k - 4*k**2 in the form d + s*k + g*k**3 + z*k**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005506936 to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*w + 340522 = -4*w, -6*w + 272410 = 4*f. List the prime factors of f.\nAnswer: 2, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*r + 16*r + 96. Calculate the smallest common multiple of 56 and r.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 6:38 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132052328 a multiple of 10932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.1812664 tonnes?\nAnswer: 181266400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 317377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1156.787 to the nearest integer.\nAnswer: -1157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, -135318, 7, -2.\nAnswer: -135318, -2, -1, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 - 2321*w**2 - 2 + 2321*w**2 + 2.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -135*f**2*m**3 + 18*f**2*m**2*y + 2*f**2*m**2 + 4*f*m**3*y + 2*f*m**2*y + 3*f*m*y - 48*f*y - 27*m**3 + 2*m**2 wrt f?\nAnswer: -270*m**3 + 36*m**2*y + 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136640 and 136640?\nAnswer: 136640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - (-72)\/4) + 0. Calculate the highest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7 = 3. Suppose -2*t + 86 = 2*p, -2*p - 247 + 18 = -5*t. Suppose -n*v - t = 40. Which is smaller: v or -15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 30 = 4*t. Let c be (10\/25)\/((-2)\/t). Suppose -4*g - 62 = -c*j - 0*j, 0 = 4*g + 4. Solve -w = 5*l + j, 0*w + 7 = -3*w + l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 38*k**2 + 72*k - 83. Determine i(-36).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 20. Let t be j(0). Let w = 30 - t. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 81 + 35 + -114 - -6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*m - 127*m + 39*m + 9 + 39*m.\nAnswer: -10*m + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 416079152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114580 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 10*n**3 - 5*n**2 - 9*n + 26. Let a be o(4). Suppose 4*t - a = -5*p + 89, 0 = t - p - 171. What are the prime factors of t?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-52 - (-17 + -79))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -t - 3*h, 4*t + 1 - 5 = 3*h. Let r = t + 11. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 254 - -642. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 23 - -9 - 16 - -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from bjbbjbbbbjbbbbbbbbj?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25853 - -4428. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37199 + 112544. What are the prime factors of n?\nAnswer: 3, 5, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*((-114)\/209)\/(-2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5269*k + 3005*k + 3198*k)*(1 + 2*k + 3 - 3) in the form x*k**2 + t*k + f and give t.\nAnswer: 934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12321113 + 30?\nAnswer: 12321143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 350 + -696. Let d be o*((-3)\/6)\/1. Suppose -v = 4*v + 5*q - 185, 0 = -5*v - q + d. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 337248?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.341148nm to millimeters.\nAnswer: 0.000004341148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -41316 (b) -0.15 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/48*(18\/(-1))\/3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 6615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1\/6, -1\/2006, -1\/4, -25?\nAnswer: -1\/2006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 403.6 and 0.25?\nAnswer: 403.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-138)\/(-21) + (-15)\/(-35). Suppose -a - 4*a + c = -4*n, a = -1. Let u be n\/(-5) - 14\/(-10). Solve w + b = 0, 4*b = -u*w - 0 + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*k + k - 2 = 2*g, -9*k = 1111*g - 2223*g + 1114*g + 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -3, 598, 0, 3 in ascending order.\nAnswer: -3, 0, 3, 19, 598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (432\/(-1188))\/((-1090)\/(-55))\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(152)*3 - (-1*sqrt(152) - sqrt(152))*1)\/((5*sqrt(88)*1)\/sqrt(11)).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/6 - 1345*n**4\/3 - 1188704*n**3\/3 - 112669312*n**2 + 1879707648*n - 7622111232 = 0. Calculate n.\nAnswer: -984, -738, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.042 - -31.042. Let r = -28 + z. Let v = -41\/2 - -21. What is the nearest to -1\/3 in -3, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 258 + -260. Let v = 75 + -76. Which is the second smallest value? (a) l (b) v (c) 0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(-18) + (-382)\/(-12) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/5)*l**(-2\/19))\/(l**(-1))**(-2\/15) assuming l is positive.\nAnswer: l**(-25\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2373\/25 + -95. Which is greater: x or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -15474.\nAnswer: -15474, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/245 + 51\/245. What is the closest to 1 in u, 0.04, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 4*o + 2. Let q be y(-4). Solve 3*u = -2*u - 5*l - 50, 2*l = q*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5787 and 1929?\nAnswer: 5787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29697758.\nAnswer: 2, 449, 33071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2973525 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*p - 2*p + 11*p as x*p + l and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 46 + 14. Let l be 22\/r + 3\/3. Let w be (1022\/292)\/(((-140)\/(-24))\/5) - 2. Which is bigger: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v + 3, 0 = 2*j - 5*v - 9. What is the second derivative of -2*c - 2*c**2 + 0*c**2 + c**j + 3*c**2 wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -219.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 684 divided by -9?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1872)*-1)\/(sqrt(4) - sqrt(500)\/sqrt(5)).\nAnswer: 1 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 < 53328\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 5 - 3)*(-5*k + 2*k + 4*k) - 4*k + 4 - 6 + 3*k to the form o*k + a and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1523 - -2134. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*b**2 + 86*b**2 + 85*b**2 + 84*b**2 - 355*b**2.\nAnswer: -35*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 10. Let v = l + -1.4. Which is the second smallest value? (a) 5 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*p + 4 = 0, -2*u = 3*u - 5*p. Let j = 440056 + -440059. Which is smaller: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/6 and 103\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 3:20 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**3\/2 - 2*y**2 + 3*y - 3. Let m(d) be the first derivative of z(d). What is the first derivative of m(h) wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95960643 to the nearest integer?\nAnswer: 9796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2099 + -2099. What is the second biggest value in -2\/59, f, -4?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 400 and 997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 - 15361*u - 100 + 15415*u.\nAnswer: 54*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1007\/(-53))\/19*16*4\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -139, 5, -641 in descending order.\nAnswer: 5, 1, -139, -641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4*z + 0)*(2 - 4 + 3) + 3*z - z - z)*(-2*z + 2*z - 5*z**3).\nAnswer: 15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 18*j**2 - 6*j - 8. Let s(l) = 2*l + 3*l - 18*l**2 + 0*l + 7. Let q(i) = -5*f(i) - 6*s(i). Differentiate q(r) wrt r.\nAnswer: 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*c - 14, 5*c - 12 = -5*k + 8. What is the closest to 0 in 7, c, 2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(121)*-1)\/(-1*sqrt(11)*-6) + ((sqrt(22)\/sqrt(2) + 1 + sqrt(33)\/(1*sqrt(3)))*-1)**2*-3.\nAnswer: -135 - 73*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ulglullslllussllggul?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2789249?\nAnswer: 29, 96181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 6 = -u, -2*o - 2*o = -3*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**4\/4 + 16*s**3\/3 + 7*s**2\/2 - 4*s + 31. What is the least common multiple of w(-15) and 18?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 + 0*y**2 - 3*y**2)*(-y + 0*y + 2*y)*(-3*y**2 - 3*y**2 + 2*y**2).\nAnswer: -8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.08 + 7. Let i = p - 2.92. What is the second smallest value in 3\/5, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x - x - 4320 = -89*x. Let d(s) = -4*s + 4. Calculate the remainder when x is divided by d(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 7:22 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - p - 8*p)*(2 + 2 - 6) + (-2*p - 4*p + 5*p)*(-2 - 5 + 4)*(0 - 1 - 3).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5973 divided by -88.\nAnswer: -543\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmxxdmdp. Give prob of picking 1 x, 1 p, and 2 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/18)\/((-1419)\/(-258)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 40 = 4*n. Suppose 0*b = -b + n. Let m be (4 + (-28)\/b)\/(2\/20). Solve 2*t = 4*t + m*v - 12, -4*v + 12 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -272854*k*z**2 + k*z + z**2 + 711*z + 45 wrt z?\nAnswer: -545708*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18042, -36342, -54642?\n\"Answer: -18300*t + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 - -11?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03572 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0055408867 rounded to four dps?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.84 + 2.84. Let a be ((-2)\/(-20))\/((-12)\/10). What is the biggest value in -1\/5, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, g: 4, n: 1, k: 1, j: 4, a: 1}. Give prob of picking 1 j and 1 x.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**7\/2520 - l**5\/15 + 4*l**2. Let y(q) be the third derivative of j(q). Let s(r) = 2*r. Determine s(y(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0 (b) -1 (c) 3 (d) 2\/259\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1797556342?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 619047 divided by 206349?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from ecaeeaeaea?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*a**4 - 4281449*a**3 - 36987373?\nAnswer: -32*a**3 - 12844347*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 3512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-8 - -13 - 5) - 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l**(-2)*l*l)\/l*l\/(l*l**6*l))\/(l**2)**35*((l**(-1\/3))**(-21))**(-15) assuming l is positive.\nAnswer: l**(-181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/(-1) - (-77)\/33. Let d(y) = -84*y**2 - 44. Let j(h) = 28*h**2 + 15. Let w(a) = -4*d(a) - 11*j(a). What is the hundreds digit of w(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130988651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -416*f + 417*f. Let p = -7 - -3. Which is the closest to 2\/9? (a) f (b) -2\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-10530)*-30*-6?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1.0126\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3 - 29*y + 1 + 7 - 13. Let a be l(-7). Suppose -3*j + 0*j = -a. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1645*z + 51. Let a(o) = 1644*o + 63. Give -4*a(h) + 5*u(h).\nAnswer: 1649*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2028*p**5 + 22*p**4 + 2*p**2 - 3*p + 22 wrt p.\nAnswer: -121680*p**2 + 528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvo when three letters picked without replacement from vuvsssuvisovisvsosoo?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.3 - -13.3. Let x = i - 6.48. What is x rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 504 = -328. Solve 0 = 5*f - 3*n + u, 5*f + 2*n + 2 + 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-7*l - 10*l + 5*l)*(-l + 5 - 5) + 3*l**2 - 3*l**2 - 2*l**2 + 5*l**2 - 5*l**2 - l**2)*(2 + 5 - 5) as b*l + j + w*l**2 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3320\/(-185) - -18) + 415\/(-148)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 180 - 128 = -3*m, -3*k = -3*m - 54 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1617)\/10584 - (-4)\/(-18).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 12:02 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 9 - 0, -3*p = -4*m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4119 = 57*q - 48549. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96 + 482\/5. Which is the nearest to f? (a) 2\/7 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**6\/120 - 2*z**5\/15 + 5*z**3\/6 + 6*z**2. Let c be i(8). Let o = 0.9 + 0.1. What is the second smallest value in o, c, 2\/17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*f + 447 + 888, 3*j - 799 = 2*f. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y + 75. Calculate the highest common factor of 135 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -680530.1+-855346\nAnswer: -1535876.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - q - 12 = 0, g - 28 = 5*g + 9*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -622*w + 2292. What is the thousands digit of q(-55)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v - 13. Let q be p(-9). Suppose -2*h - 3*h + q = 0. Solve -2*t = -5 + h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*i - 3. Let s be 64\/(-24)*63\/i. Suppose 3*r - r = v + s, 5*v - 42 = -2*r. What is the remainder when 81 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 = 0, -3*p - 29 = 3*h - 5. Let i be ((-8)\/h)\/(2\/(-18)). Let b = i - -36. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = b + 9, 2*b + b + 27 = 3*f. Calculate the common denominator of -4\/9 and (-3)\/b + -10*38\/(-48).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12285046.\nAnswer: 2, 6142523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 - 4\/6*(-793)\/312 and 28\/291?\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 349.119653 to zero decimal places.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1585 and 17315491?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/269 < -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3981250?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81*h**3 + 261 with respect to h.\nAnswer: 243*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 < 162930\/1297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/((p*p**(-2\/13)\/p)\/p))\/p*p**26 assuming p is positive.\nAnswer: p**(366\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -3. Suppose r - 4 = -t. Suppose t*u = u - 8000. What is u rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/9159275 or 1?\nAnswer: 12\/9159275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-3)\/6)\/((-1)\/(-8)*-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396110?\nAnswer: 2, 5, 11, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 6:57 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -114 and -128 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 x, and 1 v when three letters picked without replacement from bvvvonnnoxvbvbvnb?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 - -0.1. Let m be (0 - (198\/(-63))\/11)*(-1 + 0). Which is the closest to 1? (a) m (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7583 is divided by 39.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 0.12303.\nAnswer: -1.10727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12021210010100 (base 3) to base 11.\nAnswer: -164a536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 12. Let p = 2 + -3. Which is the nearest to p? (a) i (b) -2\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 2:06 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 10) in base 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-10))\/(228\/(-190)). Let l(q) = -q**2 - 3*q + 3. Let j be l(-4). Which is smaller: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 + (-238)\/42 + 2\/(-6) and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -825 + 822. Sort -5, 6.9, c.\nAnswer: -5, c, 6.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 466.54167 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * -308309.\nAnswer: 9249.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 70 + (20 - 6 - 18) + -20 - 15\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.071954 (b) 2\/51 (c) -1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 11:43 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(7 - (-75)\/(-10)). Suppose -4 = -s + u*y, 4*s + 6*y + 10 = y. Solve s = 2*l + 3*l + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a factor of 14096160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*j + 45 = -0*j, 0 = -4*r + 5*j. What is the derivative of r + o**4 - 3 - 4*o**4 wrt o?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from mmttssstto?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 35 + 1)*(2*c**2 - 2*c**2 + c**2 + (0 - 2*c + 0)*(6*c - 3*c - 2*c) + 2 - 2*c**2 - 2) in the form a*c + o + x*c**2 and give x.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -7. Suppose -2*g - 3 + 7 = n. Suppose 0 = 4*h - f - 1567, g*h = -0*h + f + 785. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1*12*20\/(-480)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5963, 11928, 17891, 23852?\n\"Answer: -p**2 + 5968*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i - 2. Let t be n(-6). Suppose 4 = 5*c - t. Sort c, 2, 5 in decreasing order.\nAnswer: 5, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/1*165\/120*-2)\/((-1)\/(-5))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 divided by 1048.\nAnswer: -77\/524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 1. Let h be -3*(3\/9 + -1). Let f = -2 + h. Suppose f - 3 = -m. Determine v(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v + 160 = -48*v. Suppose -4*i - 2829 = -3*g - 7*i, -v = 4*i. Does 79 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - x - 1 = 3*h, -3*h = -5*x - 9. Let k = 224.94 - 222. Let r = k + 0.06. Which is the closest to -0.1? (a) 0 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/7)*h**3*h\/(h\/((h*h**(3\/2))\/h))*h\/h**(-2)*((((h\/((((h*h**0*h)\/h)\/h)\/h))\/h)\/h)**10)**(3\/4) assuming h is positive.\nAnswer: h**(107\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2679, 11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15223 and 30524?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 5504?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 4. Let k = -5246 + 5248. What is the second smallest value in -1, g, 0.1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -8*c**5 + 298*c**4 + 1214*c**3 + 662*c**2 - 246*c = 0?\nAnswer: -3, -1, 0, 1\/4, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*f + 535, -31*f = -35*f - 4*n + 1080. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 4. Let h be x(-4). Let r = h + -2. Suppose -r*b + 1 = -19. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -7*s. Suppose s = 3*p + 3*t, 6*p - 2*p = 2*t. Solve l + p*l = 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2314*n - 23159. What is k(10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*x - 127. Let u(l) = 15*l - x*l + 16*l. Let w(s) be the third derivative of -s**5\/20 - s**2. What is u(w(v))?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 times -25.76571?\nAnswer: 54.107991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 7\/4*d**4 - 14*d + 18*d**2 + 0 - 3\/20*d**5 - 8*d**3. Factor o(i).\nAnswer: -3*(i - 3)*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 19*p**2 + 4*p. Let f be c(-19). Let a = 100 + f. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 219983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**2 + 23*v**2 + v**2.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 236.555 times 0.4\nAnswer: 94.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 413955583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -122711?\nAnswer: -122716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*j = -3*p + 47, 2*p - 3*j - 19 = 0. Let m = -1 - -7. Let f = -3 + m. What is the remainder when p is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*i + 18 = 0, -2*v - 16 = -0*v + 5*i. Suppose v*t = 7*t - 120. Solve y + 7 = 5*c + t, 28 = -4*y - 4*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 32, -33, -196, -499, -984?\nAnswer: -1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15710)\/(-4713)*14\/((140\/24)\/7)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-5))\/(-9)*10\/(-12)*-8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/12455990 and -47\/3775?\nAnswer: 62279950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 0, 0 = 2*p + c + c. Let m(y) = -y**2 + 1. Let k be m(p). Let z be (-3)\/(-44)*(k - 92\/60). Is 0 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 4698890*i - 4737679*i + 5.\nAnswer: -38789*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.22, -1\/4, -0.1, -1\/61?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 + 140*f**2 - 430*f - 3. What is x(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 4*b - 4*b)*(-2 + 6 - 2) + b - 5*b + b + 16*b - 30*b - 56 + 15*b.\nAnswer: -4*b - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8784 and 8784?\nAnswer: 8784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17011 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218, 722, 2288, 4480, 7298?\nAnswer: 10742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22848 divided by 408.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2510\/(-45) + 3*(-4)\/54. Let z = m - -59. Let l(u) = -u**3 - 9*u**2 + 9*u - 1. Let x be l(-10). Solve 0 = n - z, -d - 4*n = -0*n - x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 - 12. Let h(a) = 4*a - 6. Let v(o) = 12*o - 16. Let z be -1 + -9 + 3 + 10. Let j(y) = z*v(y) - 8*h(y). Calculate b(j(u)).\nAnswer: 48*u**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 810052426 to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 250, 945, 2114, 3757, 5874, 8465, 11530?\n\"Answer: 237*d**2 - 16*d + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000128742 rounded to 7 dps?\nAnswer: -0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -533020 divided by -3.\nAnswer: 533020\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 2. Let l(z) = -1. Let o = -1388 - -1394. Determine o*l(g) + 5*k(g).\nAnswer: 5*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*x - 64*x + 0 + 8)*(0*x**2 + 2*x**2 + x**2).\nAnswer: -6*x**3 + 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13, 41, 87, 151, 233, 333, 451?\n\"Answer: 9*m**2 + m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 8294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 and 88670?\nAnswer: 1507390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-8 - 13 - (-13 + -4))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73155264 and 54866448?\nAnswer: 219465792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19505 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*w - 4 = -337*w - 2*g, -3*w - 3*g = 0. Let v(i) = -i**2 + 14. What is v(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 - -133. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s**2 - 4*s. Let p(b) = -55*b**2 + 24070 - 35*b - 24070. Let f be 1\/(6 + (-208)\/70 - 3). Determine f*q(k) - 4*p(k).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 + 3\/2. Suppose h*d - 3*d = 2*a - 13, -4*a + 3*d = -1. Let i be ((-8 - -2)\/3)\/(-2). Solve i = 5*n - a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -300, -643, -1062, -1521, -1984, -2415?\nAnswer: -2778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 43. Let m = 26 - n. Suppose -7*p = -m*p - 720. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z + 9. Let o be r(-6). Let x = o - -739. Suppose -2*k - 4*q + x = 0, 3*q = 3*k - 516 - 606. What is k rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203230 (base 4) in base 8?\nAnswer: 4354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 1. Let q be g(-1). Suppose -q*i - j - 6 = j, -2*j = -2*i + 6. Let y be 2*(-1 - (-16)\/18). Which is the nearest to -1? (a) i (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.087, -47, -0.027 in descending order.\nAnswer: 0.087, -0.027, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 5, 122, -3, 44 in decreasing order.\nAnswer: 122, 44, 5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28619, 28763, 28907, 29051, 29195?\n\"Answer: 144*g + 28475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550)*-1)\/sqrt(11) - sqrt(50))\/(sqrt(10) + (-1*sqrt(60))\/sqrt(6) + sqrt(10)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*w - 7*w**3 - 3*w - 19*w as i + o*w**3 + s*w + b*w**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 352*m**3 - 10*m**2 + 30*m - 47. Is x(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -35. List the prime factors of (68\/3*-2)\/(5\/b).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13351808 and 45062352?\nAnswer: 360498816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -268187, -536375, -804563?\n\"Answer: -268188*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -50*f**7\/7 + f**4\/2 - 86*f**3\/3 + f**2 + 301. Find the third derivative of o(l) wrt l.\nAnswer: -6000*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/280574 and 46\/2863.\nAnswer: 280574","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/6741 and -59\/8667?\nAnswer: 60669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*b**3 + 37*b**2 + 912*b - 18897091 with respect to b.\nAnswer: -90*b**2 + 74*b + 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.91 in 2\/13, -0.3, -59916?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 0. Let t be 3\/4 - ((-553)\/4 + z). Is (t\/12)\/(2\/6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 45*m**2. Let f(g) be the third derivative of -g**5\/60 - 12*g**3 + 16*g**2. Let a(h) be the first derivative of f(h). Give p(a(y)).\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w. Let m(u) = 342128*u. Give r(m(a)).\nAnswer: 1026384*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20760 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l + 3*l + 2*l**2. Let b(h) = -2*h. Let j(n) = 2*n. Let i(a) = -5*b(a) - 6*j(a). Determine i(m(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 3*k + k)*(3*k - k - k) - 1020*k**2 - 3630*k**2 - 697*k**2.\nAnswer: -5346*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -7.6. What is the second smallest value in 0.1, c, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 223 - 38. Suppose 6*h - r = h. Calculate the remainder when 146 is divided by h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333344633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/((-630)\/20))\/((-1)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a + 5*k = 31, 2*a + 3*k - 17 = 0. Let y(g) = 4 + 1 + 2*g**2 - g**3 + 0*g**3 - 6 + a*g. Give y(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (75*w + 9*w - 48*w)*(-3 + 2 + 3) to the form l + x*w and give x.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(11) + (sqrt(33) - sqrt(99)\/sqrt(3))\/sqrt(3))*-4.\nAnswer: -4*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082546350 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2758029*u - 2758029*u - 4897*u**2 + 2 to the form g + y*u**2 + c*u and give y.\nAnswer: -4897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 118929400*q**2 + 237858815*q - 118929410.\nAnswer: -5*(q - 1)**2*(q + 23785882)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x + 227547*x**3 - 227329*x**3 + 2*x.\nAnswer: 218*x**3 + 19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 779 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 189.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 254 = -l + 36, -3*l = 5*g - 490. Suppose c - g = p, 2*p = -2*c + 5*p + 191. List the prime factors of c.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15176.73ng in tonnes?\nAnswer: 0.00000000001517673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 9 - 7 = -3*s, 5*s - 2*b = 28. Suppose 2*d = s + 4. Let x = d - 2. Sort 3, -1, x.\nAnswer: -1, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.0507509.\nAnswer: -0.01015018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*a + 496*a + 287 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1096 - 1092. Let i = 6.6 + -6. Which is the second biggest value? (a) i (b) -0.2 (c) p (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 199 or 80570\/407?\nAnswer: 80570\/407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3*u**4 + 2*u)*(-3 + 0 + 2) + (0*u**3 - 2*u**2 + 0*u**2 - 2*u**3)*(u - 4*u + 2*u).\nAnswer: 5*u**4 + 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (132\/(-36) + (-1)\/3)*-1. Solve -l*i + y = -9, 4*i + 0 = 3*y + 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - -5)*(-1)\/1. Suppose -v + 3*t + 19 = k, 2*v + 3*t - 61 = -2*v. What is the lowest common multiple of 96 and v?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 8:17 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, k: 1, b: 2, l: 7}. Give prob of picking 2 c and 2 l.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234143 (base 5) to base 9.\nAnswer: -12806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**4\/5 + 8*w**3\/5 - 19*w**2\/5 + 12*w\/5 = 0.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 3624*c**2 + 28773*c + 32400.\nAnswer: 3*(c - 1200)*(c - 9)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 15\/139, -2, -4\/39?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/930256 and -119\/100.\nAnswer: 23256400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 6*s**2 - 8*s - 6. Let f be t(7). Let d = -5 - f. Solve 0 = d*b - 3*b + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/39*5220\/(-120) - 18?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z = -18. Let n(l) = 4*l**2 - 3*l + 1. Let x be n(-3). Let i = x + z. Calculate the greatest common factor of 22 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - -77. Let d be (k\/12)\/(1\/4). Suppose 0 = 4*j - d - 83. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/30*-1)\/((-1)\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -56, -2 in descending order.\nAnswer: 6, -2, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/25 of a minute?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11\/(-22))\/(1\/(-72)). Suppose o = 4*t - 8. Suppose -z + 101 = -t. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1444*r + 5 - 1228*r.\nAnswer: 216*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*j = -5*j - 23, -2*o = j + 1. Suppose -10 = -r - o*s, 3*s = -2*r + 4*s + 20. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00049858601 to 6 dps.\nAnswer: -0.000499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 2780 = 2750 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*q - 154*q + 201 = -28*o, -30 = o - q - 22 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - (-4 + -3) - 19)\/(-2). Solve 4*g + 5*n = 0, -d*g = -3*g - n + 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -284.\nAnswer: 25\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15972 and 5208.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 8*a**2 - a + 8. Let j be y(8). Suppose -1380 = -j*s + 3*s. Let o = 2363\/5 + s. Calculate the common denominator of -61\/8 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**4\/12 + s**3\/6 + s**2\/2 + s. Let m be g(0). Solve -y + 0 = m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -311 + 465. Let n = -27 + h. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 63, -421, -905, -1389?\n\"Answer: -484*g + 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -1. Let c be ((-21)\/(-14))\/(f\/112). Let r = 169 + c. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -277 - -286 - ((-2)\/(-2))\/((-13)\/(-897))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 5*f**2 + f + 8. Calculate k(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - g - 2. Suppose -5*z = 3*k + 14, 3*k - 4*z + 8 = -k. Let l be x(k). Let h = -5 + l. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -186651*p - 120 + 186651*p - 160 + 4*p**2 to the form r*p**2 + j*p + c and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/66 and -139\/72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, 24, 81, 160, 261, 384?\n\"Answer: 11*d**2 + 2*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1205?\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 1 - 5)*(3*l**2 + 2*l**2 - 3*l**2) - l**2 + 2*l**2 + 0*l**2)*(14*l - 740*l**3 - 14*l).\nAnswer: -2220*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3699 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14.925 and 0.2.\nAnswer: 15.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**1)**(1\/16))**2)**48)**28 assuming t is positive.\nAnswer: t**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from mzmmewwmmexm?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0*v + 5*v)*(-4 + 2*v + 4) + v**2 - 2*v**2 + 4*v**2 - 1 + v**2 + 1 + 1 + 2*v**2 - 1 + (-1 - 2*v**2 + 1)*(2 - 1 - 3) - v**2 + v - v.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/63)\/(6\/(-18))*(-13)\/((-117)\/27)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -21, -2\/9, 35\/3, -2, -2\/63?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 29*u**2 - 31*u - 33. Let b be g(-1). Calculate the highest common divisor of 102 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (564\/(-3525))\/((3\/(-50)*5)\/(42\/(-8))).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + (22960\/(-288))\/41 and 53\/330.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -1379?\nAnswer: -1377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 144588460 - 25?\nAnswer: 144588435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1599921.\nAnswer: 3, 17, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - i**2 + 202. Let b be j(0). Let n be 12\/(-30) + b\/5. Calculate the highest common factor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 111 and -0.5.\nAnswer: 110.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 2)*(-6)\/(-8). Suppose -5*m + 64 = -v*m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3*i - 5032, 5*w - 3*i - 8354 + 2064 = 0. What is the greatest common factor of w and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 20*u + 113. Calculate the remainder when f(-20) is divided by 63.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5012410394.\nAnswer: 2, 563, 2017, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17)\/(-6) - 0 - 3. Which is the biggest value? (a) s (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - a - 3 = -52, -5*m - 3*a + 125 = 0. List the prime factors of 55\/m + 1\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 3, -127, 2 in descending order.\nAnswer: 5, 3, 2, -7, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 40 = -3*r, -3*r - 2*r + 69 = 4*y. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 76 = -2*q + 4*c, 3*q - 53 = c. Suppose 27 - 95 = -q*r. Solve -r*x = x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4921915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 727825 and -562897.\nAnswer: 164928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6561 is divided by 1640.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 14 (b) -2 (c) 0.4 (d) 1 (e) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uftbx. Give prob of picking 1 t, 1 b, and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 5.5, 2\/11, -1\/5, -22?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 257. Let m(p) = -7*p + 44468. Calculate m(a(b)).\nAnswer: -7*b**2 + 42669","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 <= 661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 32130032?\nAnswer: 32130020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 u when three letters picked without replacement from llululhllhlxllful.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 - 1)*(1 - 1 + 2*p)*(p - p + p)*(p + 1 - 1) as r*p**3 + w + t*p**2 + k*p and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5155*i - 5214.\nAnswer: -5155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 11*u - 71 - 16*u)*(3*u - 3*u - 2*u).\nAnswer: 10*u**2 + 102*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 - 5*x**2 + 2*x**2 - x**3 in the form w*x + a + z*x**2 + q*x**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16319.\nAnswer: 16319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.6 + 52. Which is the nearest to -0.1? (a) -5 (b) -0.02 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 7. Sort 4, 2, o in increasing order.\nAnswer: o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 43*y**2 + 78*y**2 + y)*(-4 + 3 - 1)*(-73 + 35 + 34).\nAnswer: 968*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 15*r - 35. Let v be a(10). Let s(z) = z**3 - 15*z**2 + 2*z - 15. Let n be s(v). Solve 0 = -10*g + n*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/29459 and -3\/34?\nAnswer: 1001606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by ((-2)\/(-6))\/((-1)\/(-30))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*(r\/(r*r**(-2)\/r))\/r*r)\/r)\/r)\/r)**(-2\/87)*(r\/r**(-23))\/(((r\/(r**(-2\/3)\/r)*r)\/r*r)\/r*r) assuming r is positive.\nAnswer: r**(589\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 70.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.7 and -1.437088?\nAnswer: 3.8801376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5*(3*sqrt(1425)*-2 - sqrt(1425))\/(sqrt(27)\/(sqrt(9) + 1*sqrt(1089))))**2 + 1).\nAnswer: 502740006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - 2*i - 3. Let l be b(-2). Suppose -2*c - r + 37 = l, -4*r = 0. Suppose 4*h - 73 = -25. What is the greatest common divisor of h and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -28871?\nAnswer: 28874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -169 - -331. Let g = 294 + -314. List the prime factors of (-5)\/((-15)\/h)*g\/(-8).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - z**2 - 2 + (-2*z + 2*z - 2*z)*(-4*z + 1 - 1).\nAnswer: 7*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83521*j*v**3*z**2 + 246*j*v**3 - 3031*j*v**2 - 2*j*v*z**2 - 2*j*v*z - 2*v**2*z - 3*v*z**2 wrt z?\nAnswer: -167042*j*v**3 - 4*j*v - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0235 + 202\nAnswer: 202.0235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -33, -40, -47, -54?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10979200 rounded to the nearest 100000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -9, -16297, 1004, 0.1 in increasing order.\nAnswer: -16297, -9, 0.1, 1\/3, 1004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 12*t**3 - 6*t**2 + 3*t + 3. Let p(f) = -f**2 + f + 1. Determine -3*p(z) + y(z).\nAnswer: 12*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1164 + -571. Suppose f + 71 = m. List the prime factors of f.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/150)\/((-63)\/945). Let i = 8 + -7.7. Sort i, 2\/13, 3, o.\nAnswer: o, 2\/13, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -153.9383 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 134664 (base 10) in base 3?\nAnswer: 20211201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -428 + 619. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 6*z + 9. Let n be t(2). Let a be 170\/34 - 4*n. Solve -a = 4*w - 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 167021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/1416 - -109483\/4248. Do j and 25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2520\/490 + 1\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/18 (b) 2977 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -424 + 755. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 11 - 1)*(-4 + 3 + 0)*(-3 - 3 + 5)*(-3*y**2 - y**2 + 0*y**2).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 72633217.4 to the nearest 1000000.\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2 + 255*r + 256 = 0. Calculate r.\nAnswer: -1, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48782 and 878076.\nAnswer: 878076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a4 + f6d6?\nAnswer: f87a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 10:06 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.8, -2, -4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2*o + o)*(-3 - 1 + 0)*(2 + 1 + 1) + (2 + 9*o - 2 + (2 - 2 - 2)*(-3*o + 0 + 0))*(-3 + 6 - 2).\nAnswer: 31*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 + 4*r + 203 - 96.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 346.2081km in micrometers?\nAnswer: 346208100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1716 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/669 and -67\/15?\nAnswer: 3345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - v - 3*v = 10, 0 = -2*x - 5*v - 21. Let t be 2 - ((-5 - -6) + 112\/x). Let h = 224 + t. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -325.26*7.62\nAnswer: -2478.4812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 78*j - 567. What is the remainder when c(18) is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 169d?\nAnswer: -169b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**3\/6 + 9*s**2\/2 - 2*s. Let w = -5 - -8. Let u = w + -8. What is m(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3834*-296.\nAnswer: -1134864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 842400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (50\/30)\/((-10)\/(-12)). Suppose 2*w + t*w = -16. What are the prime factors of 8\/(w\/(-34) - 0)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 - 60. Find the third derivative of 5*w**3 + 0*w**2 - 27*w**3 - o*w**2 - 6*w**2 wrt w.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 95*i**2 - 46*i**2 + 5*i - 52*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*p - 5*p + 146 = 0, -5*p + 291 = 2*d. Let k = d - -80. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -588 - -625. Let g = 161 - x. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1))\/((-186)\/(-62)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 605150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaawaaawaawaaaaa. Give prob of sequence aw.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n - 35 = -30*n. Put n, 1, -7 in ascending order.\nAnswer: -7, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*k - 15*k**4 - 7*k**2 + 7*k**2 wrt k?\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from {v: 2, y: 4, o: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10205 and 153205.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 15*u**4 + 10*u**3 - 40*u**2 - 25*u. Let b(c) = -14*c**4 - 9*c**3 + 40*c**2 + 24*c. Let z(y) = -5*b(y) - 4*m(y). Let z(k) = 0. What is k?\nAnswer: -2, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -12*t + 28. Let u be -4 + 4 + 12 + -6. What is s(u)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4899106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 11:39 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Differentiate 5*d**2 - 2*d**2 - u*d**2 + 3 - 4*d**4 with respect to d.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 244*u**3 + 2 + 253*u**3 + 4*u - 6*u. Is b(2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t - 12. Let o = -4 + 4.5. Let m be (2\/(-7))\/((-284)\/(-497)). What is the closest to m in o, t, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21246 - -4?\nAnswer: 21250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*s - 108 + 48 + 42 wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156873 is divided by 371.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -9ca?\nAnswer: -9d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 192 = -i, 6*i - x - 391 = 4*i. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 55517?\nAnswer: 999306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 8*i**5 + 9*i**3 - 1. Find the third derivative of m(t) wrt t.\nAnswer: 960*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -307*y - 5225. What is a(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.11 + -0.24. Let i = 0.15 - n. Let t = 0.498 - i. Round t to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6402 is divided by 2781.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j - 3. Suppose -87 = -5*i - 2. Let c(x) = 1 - 5 + i*x - 22*x. Let z(p) = 3*c(p) - 4*y(p). Let d(s) = -12*s. Give d(z(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -221\/12*o**4 - 12 + 4*o + 0*o**3 - 4\/5*o**5 + 0*o**2. What is the third derivative of m(y) wrt y?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186 - -181) + -1 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -253 + 253 + 4*b + 9*b**2 wrt b.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000551765 rounded to 7 dps?\nAnswer: 0.0000552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105602 is divided by 105593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -13. Let w(t) = t**2 + 5*t - 10. Calculate the remainder when 25 is divided by w(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1932635 * 2.\nAnswer: 3865270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 98512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -63 and 44.003?\nAnswer: -2772.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 203 and 87.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*n + 716 - 2282, 5*u - 3146 = -4*n. Suppose n - 109 = 5*a. Suppose 0 = 7*t - 2*t - a. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/(-60))\/(56\/(-18) + 4). Let b(r) be the first derivative of 11 + 0*r - w*r**2 - 1\/4*r**3. Factor b(c).\nAnswer: -3*c*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 12, 6*n - 15 = -5*p + 23 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 168 + -140. Suppose -c*z = -19*z - 423. Calculate the remainder when 93 is divided by z.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 64\/5, -4\/31.\nAnswer: -4\/31, 4, 5, 64\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 33553?\nAnswer: 33553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 10*c + 9. Let h(s) = 1. Let i(g) = a(g) - 3*h(g). Give i(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(-6)\/(-10)*-85. Let y = 163 - l. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 105 = -17*i + 6*i - 91*n, n - 119 = -9*i + 70 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 516 - 516.000000277. What is a rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*l**3 - 2*l**4 - 22825*l - 22837*l + 45700*l - 2*l**2 in the form h*l**3 + k*l**4 + t + f*l**2 + b*l and give b.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 112 - 5?\nAnswer: 10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/18 - 2\/(-9). Suppose 5*s - 50 = -t*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2. Let d(i) be the second derivative of -i**4\/3 + 277*i. Calculate d(t(o)).\nAnswer: -64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1343984 is divided by 237.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-14) + 3\/21. Let r be (-2)\/(-3)*6\/50. Which is greater: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -82?\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2241.6766 rounded to the nearest 10?\nAnswer: -2240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Suppose -3*t + 53 - 11 = g. Suppose -3*l + 1 = -t. Round l to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2116505 by -1.\nAnswer: -2116505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120 - 1122012?\nAnswer: -1201202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1014422 + 13?\nAnswer: 1014440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from hfjfjkyz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4533 - 4528. Let u(v) be the second derivative of v**3\/6 - 3*v**2\/2 - v. Give u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-488)\/240 + 2)\/((-1)\/4). Put x, 2\/3, 1, 0.3 in descending order.\nAnswer: 1, 2\/3, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 0. Let i be j*-122*4\/16. Round i to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*d + 732, 2*d + 4*x = x + 478. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6 = -2*w + 4*w, 2*w = 3*h + 9. Suppose w = 2*q - 2*b + b - 5, -4*q + 4*b = -20. Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 - -101. Let j be 5 + -1 + p + 1. Suppose o = 4 - j. Which is the closest to o? (a) 1\/8 (b) -7 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -8\/924229?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 - 10*f**2 - 20*f - 15. Is o(-10) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 3*h - 14, 0 = 3*n + 181*h - 182*h + 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*x, 13*c - 9*c - 3*x - 15 = 0. Suppose -4*n + 5*a - 52 = -3*n, -112 = 4*n + 4*a. Calculate the remainder when 31 is divided by n\/c*12\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/11)\/x)\/(x*x**(-1\/7)*x))\/(x**(1\/2))**24*(x*x**(-2\/3)*x\/x**(3\/4))\/(x**(-2\/3)\/x)**(-10\/7) assuming x is positive.\nAnswer: x**(-15221\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/(o*o*o\/(o**(-2\/13)*o)*o*o))\/(o**(-1\/2)*o)**(-21) assuming o is positive.\nAnswer: o**(243\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 + -61. Let u = s + -7. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 5:02 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 100111110100000011 (base 2) to base 8\nAnswer: 476403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s - 24. Let w = s + -1. Solve -2*t + 11 = -r, 6 = -w*r + 2*t - 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42768 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*c*d + 3*c*f**3 - 173*c*f**2 - 12*d*f**3 wrt d?\nAnswer: 4*c - 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/4 of a decade?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, k: 3, j: 2}. Give prob of picking 1 g and 2 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20107, -20108, -20109?\nAnswer: -20110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -210 divided by -6\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -b + 5*q + 11, 4*b + q = 13. Solve -4*p = -b - 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3177 + 227. What are the prime factors of f?\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.7, -12, 41?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*d = -141*d - 198. What is the smallest common multiple of d and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 8 - -10 - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1453117*g**3 + g**2 - 8606*g - 6 wrt g.\nAnswer: 8718702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 6 + 134. Let a = -6 + 10. Solve -a*g + 0*g = r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 388*p**3 + 3*p**2 + 68*p**4 - 17*p**2 - 793*p**3 + 403*p**3 as x*p**3 + q + f*p**2 + g*p + u*p**4 and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73.42, 2\/15, 163.\nAnswer: 2\/15, 73.42, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162)\/(-162)*(-4)\/2*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11274*a - 11278*a + 335000. What is a rounded to the nearest 1000?\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59722 and 1768910.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -10. Suppose -2*c - 2*c - 1824 = 0. Let l = c - -459. Solve 2*j + 0*i - a = 4*i, -2*j - l*i = 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17079294 - -2?\nAnswer: 17079296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 - 67. Suppose h*u = u - 9*u. Suppose u = j - 0*j - 11. Calculate the highest common divisor of 22 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1869894269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*s + s. Suppose 2*w + 5 = f, -s*f + 3*w = 3*f - 25. Let o(r) = -r**3 + 6*r**2 - 4*r + 1. Calculate the lowest common multiple of 4 and o(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 7. Suppose 0 = -f - 40 + y. Let r = 24 + f. Solve -3*n + 4*m + 2 = 0, -1 - r = 5*n - 3*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*f + 5*f = f - 96. Let t(i) be the first derivative of f + 1\/2*i**2 + 0*i. Let g(n) = -11*n. Calculate g(t(x)).\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 13*y - 29. What is the remainder when 17 is divided by s(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02592 - -0.0313. Round m to 4 decimal places.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14125.66155 microseconds in weeks?\nAnswer: 0.000000023355921875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170 - -102. Let r = g - -75. Solve -5 = 4*s + r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3570 and 840?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6))\/sqrt(3) + ((-1*sqrt(242))**2 - sqrt(2)).\nAnswer: -3*sqrt(2) + 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1141 and 51161299?\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 5:17 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zycaazwlacwwzacczz. What is prob of picking 1 l, 1 a, and 1 w?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 242, -0.3, -3 in decreasing order.\nAnswer: 242, -2\/7, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.22 - 0.22. Let p = -0.52 + -0.08. Let h = -0.9 - p. What is the third biggest value in 2, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y**2 - y - 4. Suppose 5*b - 98 + 50 = -7*b. Let l(h) = -15*h**2 + 3*h + 9. What is b*l(n) + 9*o(n)?\nAnswer: 3*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3230 by 5.\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004713 to 5 dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -279 + 280. Let l(h) = 231*h**3 + 2*h**2 - 5*h + 4. Let o be l(y). Calculate the greatest common factor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 10*f - 6. Let l be k(10). Let n be ((-2)\/(-25))\/(l\/(-10)). Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.17 (b) 0.2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/((-8)\/12)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = -2. Let a be w*(-3)\/6*-9. Let b be a*2 + 0\/2. Calculate the highest common divisor of 27 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13180097 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 prob of sequence ool when three letters picked without replacement from olllollolll?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 - 10*x**3 + 6*x**2 + 18*x.\nAnswer: 2*x*(x - 3)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30358 and 158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 - -110. Let p(s) = -2*s + 2. Determine p(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3, -2*n = 5*a - 5 - 31. Let x be (-12)\/3 + (-186)\/a. Let i = 54 + x. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 180, -2, -1, 23, -3 in decreasing order.\nAnswer: 180, 23, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1523319829 rounded to 3 decimal places?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -81. Suppose -73*v + t*v + 54 = 0. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-22) - 9\/11. Let s = -24060\/19 - -1266. Which is bigger: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 3*q + 19, -2*q - 7 = -2*a - 3*q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-6 - -5)) + (-4 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-206)\/(-2030)*5695\/6834 and 1 + (-3 - 11\/(-4))?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(sqrt(13)*-1*6)**2 - (sqrt(91) + 6*(sqrt(91) - (sqrt(91) - 2*sqrt(91))))\/((sqrt(112)\/sqrt(4) - sqrt(7)) + sqrt(7)).\nAnswer: -5616 - 13*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q*s**4 - q*s**2 + q - 47*s**5 + 23 wrt s?\nAnswer: -48*q*s - 2820*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296618878 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27381 - 2823 = 3356*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -124, -173, -226, -283, -344, -409?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, -0.3, -0.1, 0.3, 28?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-35)\/(-10))\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228737.\nAnswer: 228737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1416611471.\nAnswer: 11, 157, 820273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 10:30 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 314, -1, 0 in increasing order.\nAnswer: -3, -1, 0, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -164 + 165.6. Which is the nearest to 0.2? (a) 0 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 4\/7 (c) 0 (d) -535 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/6)\/5*(1 - 5). Let l(v) = -v**2 - 2 + 5*v**2 - 4*v**i + v**2 - 5*v. What is l(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/15*(4 + 0). What is the third biggest value in -4, -2\/9, 3, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 0 (b) -1\/8 (c) 43 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 653, 693, 765, 875, 1029, 1233, 1493?\n\"Answer: d**3 + 10*d**2 + 3*d + 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -3, 3, 7 in increasing order.\nAnswer: -3, 3, 7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -557707 + 557706.6. Suppose -4*h - 2 = 5*f, -5*h = -0*h + 2*f - 6. What is the closest to -1 in w, -0.1, h, 9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144129827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 99527551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 10:06 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + (-1 + 1)*-1. Let m(l) = -4*l**3 + 4*l**2 - 8. Let j(b) = 5*b**3 - 5*b**2 + 9. What is c*m(h) - 5*j(h)?\nAnswer: -h**3 + h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 6*u + 51, 2*u + 276*y - 272*y = -30 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9488, 2, 17, -39 in decreasing order.\nAnswer: 17, 2, -3, -39, -9488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 99994457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1261*o - 1224*o + 259 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, o: 2, f: 4}. Give prob of picking 1 f and 1 o.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/122499 and 16\/1783041.\nAnswer: 16047369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Suppose -4 = -4*r, 0*r = -c + 3*r + 48. Let b be (4 + c\/(-15))\/(3\/15). Solve 9 = -b*x, n*x + 21 = 2*m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 257184 and 6.\nAnswer: 257184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 2376 = -7023 - 3757. Does 46 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18.612 and 0.073438974.\nAnswer: -18.538561026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 0.3, 1\/6, 39, 2\/5, 5.\nAnswer: 1\/6, 0.3, 2\/5, 5, 25, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.047 - -31.953. Let k = z - 31.58. Round k to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (10 + -4)) + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 6*d - 1. Let w be y(4). Let s = 383 + -365. Solve 0 = m + 2*b - w, -2*m + s = m + 5*b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 2*l**2 + 8*l - 13. Let r be g(4). Let m(f) = -6*f - 72. Let y be m(r). Is 6 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2303 - 50?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126 + 126.1. Which is smaller: f or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51\/5 + -19\/4. Find the common denominator of 100\/(-8) + 3*-1 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 708720 and 348.\nAnswer: 20552880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2192 - -2270. Solve -84 = -6*z - i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**4\/24 - 2*a**2. Let n be b(-5). Let x = 8 + n. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*3 - (-56)\/8. Suppose -j + 19 = -3*f. Which is the closest to -1? (a) f (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from wwwlrrwwrrwrrrrrrw.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 366617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 196? (a) 0.08 (b) 2 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (0 - -2 - 2). Let n(h) = -4*h**3 - 4*h**2 - 2*h. Let v be n(k). Solve 2*w + 3*w - v = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9591*g + 9600*g - 108 = 0 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -5*g**4\/18 - 5*g**3\/18 + 53*g. Suppose t(f) = 0. What is f?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8026, 10979, 14282, 17941, 21962, 26351, 31114, 36257?\nAnswer: 41786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15743190433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 427188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8314*h**3*n*x - 9003*h**3*n - 2*h**2*n*x + 73*h**2 + 19*h*n*x + 22226 wrt h?\nAnswer: -49884*n*x - 54018*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 173 and 38901.\nAnswer: 6729873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 511 - -1099. Solve 1615*v - l*v = -25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.063108 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 14*w**2 - w - 16. Let g be x(-14). What is the nearest to g in -0.5, 1, 0.43?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) - (-721)\/21. Suppose 0 = -j + 2*m - 5, j + 11 = -5*m + b. Suppose -j*u + 35 = 2*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let u(g) = -g**3 - 8*g**2 - g - 3. Let j be u(-8). Let k(p) = 3 + 0 + j*p - 3. Give k(v(n)).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w\/(w*w**(-2\/3)))\/w))\/(w\/((w\/(w*w*w*w\/(w\/(w*(w*w**(1\/70))\/w*w))*w*w*w*w*w))\/w))*((w**(-14)\/w)\/w)\/w**(1\/21) assuming w is positive.\nAnswer: w**(-1871\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/11)\/m**(-14))\/((m**(-7\/4)\/m)\/m**(-8)))**22 assuming m is positive.\nAnswer: m**(401\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 + -95. Let i = -3.1 + -9.9. Let z = -17 - i. Which is the third biggest value? (a) j (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + -1. Let n = 10 - b. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (56\/(-10))\/(1\/(-5)). Suppose -52*b + 1309 + 3058 + 729 = 0. Calculate the highest common factor of b and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**4\/12 + 5*o**3\/6 - 2*o**2 + 52*o. What is the lowest common multiple of f(-8) and 25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**4\/6 - 5*d**3\/6 + 6*d. Find the second derivative of z(j) wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10*y - 28. Let r be w(-4). Suppose 5*o - 11 = 9. Differentiate s**4 + o + 8*s**4 - r*s**4 with respect to s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 74 and 184747.5799447.\nAnswer: 184821.5799447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*g - 487 - 278 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.926824 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -751*f**3*p**2 - 2*p**2 - 857*p wrt f?\nAnswer: -2253*f**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/357 and -121\/30?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*y**3 + 68*y**3 - 179*y**3 + (2*y + 2*y**2 - 2*y)*(-2*y + 3*y + 5*y).\nAnswer: -35*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 59 + -30 + -51?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 192 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 10 = v. Let u be v*1\/(-6)*-3. Sort 3, u, -1 in descending order.\nAnswer: 3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 618681.2um?\nAnswer: 0.0006186812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -395293076 divided by -2?\nAnswer: 197646538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 3*v**2 - 36. Give x(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1527, 1293, 929, 429, -213, -1003, -1947?\n\"Answer: -x**3 - 59*x**2 - 50*x + 1637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.050869373 to three dps.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5 = -0*v. Let g = 2 + v. Let i = 5 - g. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 11*u + 3. Let i be l(7). Let g = i + 62. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407297953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/3)*r*r\/(r\/((r\/r**(-2\/55))\/r*r)) assuming r is positive.\nAnswer: r**(446\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -4\/5 (b) 1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/3 - 649*l\/3 - 8924 = 0 for l.\nAnswer: -276, -97\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 take away -1.849?\nAnswer: -14.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {o: 7, r: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 65665558 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -5 (c) 2 (d) -2\/11 (e) 1\/6 (f) -4 (g) 8389\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2 - 6. Let v be 10\/6 + o\/(-6). What is the third derivative of -3*g**4 - 5*g**2 - v*g**4 + 12*g**2 + g**4 wrt g?\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = -17*w - 3565. Let v = w + 120. Solve 3*p = v*p + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26713034 rounded to the nearest one hundred thousand?\nAnswer: -26700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 472.2 - 468.2. Put -2\/7, 19, g, -2\/103 in descending order.\nAnswer: 19, g, -2\/103, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(-1 + 2 - 2)*(603*j + 130353 - 130353)*(2*j**4 + 0*j**4 - 3*j**4).\nAnswer: 603*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/16035341 and -61\/214.\nAnswer: 32070682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, p: 10}. Give prob of picking 3 p.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 35.65167 decades?\nAnswer: 4278.2004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99571, 199147, 298723, 398299, 497875?\nAnswer: 597451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -133\/17166?\nAnswer: -133\/17166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h - 5 + 1 + 3 - h + h**2. Let d be a(-5). Suppose l + d*l = 1705. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010 (base 2) in base 13?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7037 - 6887. Calculate the highest common divisor of 1275 and u.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6965558693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*r - 56. Suppose 0*a + 3*f - r = -a, -5*f = 3*a - 43. Solve -3 = -2*i + a*k - 3*k, 8 = 3*i - k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4 + 5468*n**3 - 32870*n**2 + 27424*n + 65760 = 0 for n.\nAnswer: -2740, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26396, 53230, 80074, 106928?\nAnswer: 133792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-56)\/105 + 6\/9. What is the second smallest value in y, -9, 3\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l = -136. Let g = -24 - l. Let j = 6 - g. Sort j, 4, -5 in decreasing order.\nAnswer: 4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 285?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 - z**2 - 11*z + 30. List the prime factors of l(6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0*d + 1. Let f be (638 - (0 + -3)) + d. Round f to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbd when three letters picked without replacement from {d: 1, b: 1, j: 2, n: 1, y: 1, o: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 84 = p, 2*c - 248 = -c - p. Let t = -81 + c. Let i(k) = -6*k**3 - 1 - k + 27*k**2 + 1 - 28*k**t. What is i(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 47*w - 126. Let a(c) = 3*c + 76. Let o be a(-19). List the prime factors of t(o).\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1794?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4816 by 2.\nAnswer: -2408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10880*j**2*u**2 - 2*j**2*u + 13774*u wrt u.\nAnswer: -21760*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 54*l**2 - 74*l + 39. Let y be a(10). Round y to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2298860 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2101 or 1?\nAnswer: -2\/2101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - 4*o**2 - 8*o + 10. List the prime factors of k(4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 + (24 - 43) + 4 + (6 - -4).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116251.\nAnswer: 101, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -80057\nAnswer: 2\/80057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 172\/13 or 13?\nAnswer: 172\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-6)\/4))\/(88\/748)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -50.\nAnswer: -50, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3297354.\nAnswer: 2, 3, 17, 32327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 5*b = t - 8, t + 22*b - 49*b - 80 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -1 + sqrt(13) + (2*sqrt(143))\/sqrt(11))**2 - ((sqrt(91)*2 - sqrt(91)) + sqrt(91) - sqrt(91))\/sqrt(7)*-1*4)*-2.\nAnswer: -236 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1952392*j - 1056*j**3 - 3520*j**3 + 1961581*j wrt j?\nAnswer: -27456*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 3:12 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 604428 = 3*v + 1932416, g + v - 331997 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56507183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/11 not equal to -27.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-3 + 3 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (16 + -15 + 5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 166 = 4*q. Let r be 2*-1 - q\/(3 + -2). Let z = 61 - r. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 8798966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f + 5. Let b(n) = n - 1. Let l(p) = p**3 - 10*p**2 - 10*p - 13. Let q be l(11). Let r = q - 3. What is r*b(d) - z(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -980*h**3 + 59*h**2 + 365*h + 35. Is c(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-234)\/26*(-1)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -11.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*a - 8, 227*n = 223*n - a + 10. Let r = -773 - -1365. Calculate the least common multiple of n and r.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*d**4\/5 + 416*d**3\/5 + 4412*d**2\/5 + 2712*d + 1440 = 0. Calculate d.\nAnswer: -15, -4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1522*i**3 - 13186*i**3 - 9960*i**3.\nAnswer: -24668*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 15*w + 15. Suppose l = 6 + 9. What are the prime factors of v(l)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 4. Let g be f(-6). Suppose 4*r - 213 = 5*o, r - g*r + 4*o = -67. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 708 + 479.65.\nAnswer: 1187.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1661 + -1651. Calculate the smallest common multiple of m and 3204.\nAnswer: 16020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390035199?\nAnswer: 3, 17, 7647749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 53 + (-28 + 6 + 4 - -43)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 4, 927, -5.3, -3, -0.05?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 133*z - 3. Is a(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 5. Let p = -367 - -4041\/11. What is o in -4\/11*o**2 + 2\/11*o**x - 2\/11*o + p = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 240.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7502 - 6?\nAnswer: 7485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 93 = 4*v. What is the remainder when 92 is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y - 30. Determine j(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 3:21 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4168 times 48?\nAnswer: -20.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3 - 45*b**2 + 51*b + 2 wrt b.\nAnswer: -6*b - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -210436.88 plus -0.5?\nAnswer: -210437.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 370198, 370195, 370192?\n\"Answer: -3*y + 370201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + (1790\/4 - (-6)\/4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203357 times 23?\nAnswer: -4677211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -3, -7, -70, 487 in increasing order.\nAnswer: -70, -7, -3, -2, 0, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-1\/8)*r)\/r)\/(r*r**(-2\/3)\/r))\/(r\/r**(4\/7)*r**(4\/3))*(((r**6\/r)\/r)\/r**9)**(3\/4) assuming r is positive.\nAnswer: r**(-667\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**4\/4 + 3*o**3 - 9*o**2\/2 + 10*o + 27. Give j(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(1 - 3 + 3)*(148*a - 148*a + 10*a**2).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 973 is divided by 97?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*c = 14, -7*z + 3*c - 1 = -11*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2128)\/210 + 10)*6.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87703 and 120615.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14361, 28747, 43133?\n\"Answer: 14386*j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 = 11*t + c - 261, -4*c = t - 9 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 88\/9. What is the smallest value in -44, p, 3?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.19 minus -9519967?\nAnswer: 9520166.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1778170 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10762 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4*y - 42*y**3 + 1 - 2*y.\nAnswer: -42*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -0.5 (b) 5 (c) -15 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*q**2 - 6*q**4 - q + 34*q**4 + 3*q + q**3 - 30*q**4 - 1 - 3 in the form t*q**4 + m*q**3 + k*q**2 + r*q + h and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + 2. Let q(p) = p**2 + 2. Let v = -4 - -7. Suppose -2*m + m = v. Let d = 4 + 0. What is d*q(y) + m*l(y)?\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 101 - 104 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and 0.5.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 12 = 4*d. Which is the nearest to 1\/4? (a) d (b) -0.2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 16 = 4*m, -67*z + 3*m = -49*z - 75 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1518 = 30*o + 198. Let a(z) = -z**2 + 10*z - 1. What is the remainder when o is divided by a(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 7:33 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 9 = -0. Suppose -p - 24 = -4*p + 5*b, -2*b - 6 = 0. Solve 0 = 4*l - 0*v - p*v, q*l = -5*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 10*p + 8. Calculate x(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 9:02 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:47 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**3 - 13*v**2 - 5. Let h be t(9). Suppose 23*g = 28*g - h. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 2 - 68*t**3 + 129*t**3 - 58*t**3. Give l(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/34 - (42\/357 - 300\/(-170))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 d when four letters picked without replacement from {d: 2, b: 8}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*h - 36, -11*w + 13*w = 2*h - 24. Solve h = -8*b - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/2 + 28\/(-7). Let m(c) = 2*c**2 - 5*c**2 + 2*c**2 - 1 + h*c - 14*c. Determine m(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0, -1\/498?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w = -3*d + 9, 5*w + 41*d = 43*d - 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 9. Let b(k) = -k**2 - 7*k - 4. Let v be b(-7). Let t = p + v. Calculate the smallest common multiple of 1 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**4\/16 - c**3\/8 + c\/8 - 32. Factor i(f).\nAnswer: -(f + 1)**2*(2*f - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 + 264 = -7*o + 187 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -126\/19 (b) 0.01 (c) 18 (d) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 500*o**4 + 24800*o**3 + 14760*o**2 + 2944*o + 196.\nAnswer: 4*(o + 49)*(5*o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -38. Let c be a\/8*(-4)\/5. What is the nearest to c in 3, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -113 equal to -32296\/285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1200?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.49 + -5968.\nAnswer: -5970.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 235199283 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**2\/2 + 34*u + 1. Calculate the remainder when h(9) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2731, 5463, 8195?\nAnswer: 10927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -1666792 and 88.935.\nAnswer: -1666703.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*o - 6*o. Suppose 0 = 5*k - 2*b - 6, 2*b + o = k - 0*b. Suppose -3*s = -2*a + 141, -138 = -2*a - k*a + 2*s. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o**3 + 28*o**2 + 13*o + 44. Determine z(-7).\nAnswer: -1419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 474056 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-9))\/(3\/162). Let l = -25 + h. List the prime factors of (-165)\/l*4\/(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7475183864 - 7475183105.9999522. Let w = f - 758. Round w to six dps.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8785, 9027, 9681, 10951, 13041, 16155?\n\"Answer: 34*w**3 + 2*w**2 - 2*w + 8751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**3 + 965 - 965.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -127675*y - 15. Let h(b) = -63838*b - 8. Let q = 40 + -44. Let k(g) = q*j(g) + 7*h(g). Let x be k(-6). What is x rounded to the nearest ten thousand?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -19*r**2 + 9*r. Give u(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.17 (b) -0.3 (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 5:48 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 4*p - 8, 2*p - 3*v - 4 = -0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3271, 3278, 3289, 3304, 3323, 3346?\n\"Answer: 2*t**2 + t + 3268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w. Let x be k(1). Suppose -x + 1 = -r. Let o(j) = -j**2 + 35*j + 346. Let u be o(-8). Solve -u*p - 4 = 0, 0 = r*q + q - 4*p - 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - 34a1?\nAnswer: -3493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0602 - -0.0600884. What is f rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-4))\/(8\/64). What is the second derivative of -2*j - 36*j**3 - s*j + 38*j**3 - j wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116833523.\nAnswer: 127, 919949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + (-68 - -11 - -77).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46124693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = -6*w + 535. What is the remainder when w is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/(-9) + -1 + (-95)\/(-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*x + 7 + 33, -4*x = 2*c - 24. Suppose x*s - 13 = 3. What is the derivative of -s*i**4 - 2 + 0*i**4 + 0 + 3 wrt i?\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1104, 1, -108.\nAnswer: -1104, -108, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(-5) - (-6)\/10. Let r = y - -3. Calculate the smallest common multiple of 6*(-2)\/6*-1 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106*g**5 + 14*g**4 - 151*g**2 - 4*g wrt g?\nAnswer: -6360*g**2 + 336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 101*l**2 + 149*l - 98. Let o be n(49). Solve o = -26*t - t - 54 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r + 1. Let n be c(-1). Suppose 1 = k + n. Let m = k - -19. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r**2. Let z(m) = m - 6. Let h be z(8). Let i(p) = -p**2 - p + 1. Let w(o) = -5*o + o + 9 - 11 + 6*o. Let n(b) = h*i(b) + w(b). Determine n(t(f)).\nAnswer: -242*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15580758 (base 9) in base 16?\nAnswer: -76d7ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.3 * -25622\nAnswer: -84552.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 0.4 (c) 0.5 (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/30)\/((-559)\/(-1016)). Let r be 6\/(((-215)\/4)\/((-9)\/36)). Let d = v - r. Is d greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1616380 to the nearest ten thousand.\nAnswer: -1620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 6*l + l)*(107*l + 1017 - 1019 - 19*l).\nAnswer: -176*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2392?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.0954, 11701, 8?\nAnswer: -0.0954","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1732573 and 1772.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5908 by 1477.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -531, -626, -723, -822, -923, -1026?\nAnswer: -1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0298 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14306 + 5?\nAnswer: -14301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 + 37 + n - n**2 + n**2 - 7*n**3 - 33 to the form k*n + b*n**2 + c + h*n**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*q + 944 = 3465, 15 = 5*q. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -2\/15 (c) 88861\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89.83 - 86.83. Which is the second smallest value? (a) o (b) 0.6 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 20100.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**3 + 0*m**3 - 3*m**3)*(2 - 4 + 3) - 2*m**3 - 3*m**3 + 3*m**3 - 368 + 368 + 24*m**3 to the form a*m**3 + w*m**2 + u + v*m and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -3 (c) 1 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -3, -2984, 1, 4, 3.\nAnswer: -2984, -3, 0, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 6:46 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 4055189.\nAnswer: 32441512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 12:29 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19, 105, 169, 187, 135, -11, -275, -681?\n\"Answer: -4*a**3 + 13*a**2 + 75*a - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 56556?\nAnswer: 282780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -15. Let m = -16 - t. Suppose -a = -2*r + 11, -2*a - m*a + 5*r = 35. Are a and -3 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 12:08 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 + 14 = -15*l + 65 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 305, 0, 10\/69?\nAnswer: 10\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4\/2 - 7*c**3 + 33*c**2\/2 + 56*c + 32 = 0. Calculate c.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 8*x**2 + 10*x + 5. Calculate m(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 1547 = 10*a - 749 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -0.07 (c) 7872\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-10)*3\/63*(-816)\/(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-3)*(-4584)\/955?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-1 - -1)) + (-89 - -12) + 111.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 4\/4251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2*a = 5 - 3, 4*a = 3*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 168 - 126. What is the least common multiple of f and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*1\/2 + 1. Let i be -5 + 21\/6 + 5384\/(-16). Let g be -10*6\/(-270) + i\/(-18). Solve -k = -5*c + g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 359.9352ml?\nAnswer: 0.3599352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 1031, 3848, 9357, 18458, 32051, 51036, 76313?\nAnswer: 108782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -11. Suppose -s*a + 3 = -2*a. Solve -3*p - 9 = a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43741 + -689?\nAnswer: -4431a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 736250 - ((-10)\/15)\/((-5)\/(-60)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4050*r + 7*r + 664*r + 3963*r to the form x + c*r and give c.\nAnswer: 8684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*t + 66 = 0, 5*o - 3*t - 168 = -t. Suppose 5*v - 800 = -125. What is the remainder when v is divided by o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 13*m - 9. Give g(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -33209, -33158, -33107, -33056, -33005?\n\"Answer: 51*b - 33260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17658835 divided by 85\nAnswer: -207751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -615*j**2*u - 474*j**2 + j*u wrt u.\nAnswer: -615*j**2 + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -1 - (2 - -3 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1047 - 9*c - 1047)*(-52 - 2*c - 4 + 22)*(-3 + 2 + 0)*(-1 + 0 + 2).\nAnswer: -18*c**2 - 306*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j**(-1\/3)*j))**(16\/5))**(1\/3) assuming j is positive.\nAnswer: j**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.35. Let g = 0.41 + 3.59. Sort g, k, -5 in increasing order.\nAnswer: -5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*v - 4*v - 35, 2*j - 2*v + 58 = 0. Let x = 35 + j. Calculate the highest common divisor of 36 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6006 divided by -2002\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17903, -32267, -46641, -61031, -75443?\nAnswer: -89883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 431.33202ns?\nAnswer: 0.00000000000071318125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 465\/8. Which is the smallest value? (a) f (b) -1\/3 (c) 156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-76518)\/3289 - 9\/6. Let m = b + 487\/23. Calculate the common denominator of 71\/16 and m.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j + 59. What is b(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/21*14*-1. Suppose 21 = 4*i + s*j + 9, -5*j = -4*i + 30. Suppose 0 = -4*q - i*z + 15 + 214, -4*z + 20 = 0. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/25)\/r)\/(r\/(r*r**(2\/29)*r))*(r\/r**(-1\/3))**(-1\/12) assuming r is positive.\nAnswer: r**(-797\/6525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-66)\/99)\/((-2)\/(-9)). Let k(l) = 8*l + 2. Give k(t).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-2)\/(2 - 0). Let h be 8\/(-6)*j\/(-4). Suppose -2*u + 4 = -h. Solve 3*w = 7*p - u*p - 19, 2*p - 5*w - 13 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-215254)\/(-1948)*3\/78*-2\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8966 and -5.\nAnswer: -44830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 156*d**2 - 89937*d - 43275 = 0.\nAnswer: -25\/52, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 281 = -21*p + 22, 5*p - 81 = -r. Solve p*v = -39 + 39 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2534306 + -1?\nAnswer: -2534307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0038126 to 4 dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01319209775 to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f = 0. Suppose f = 3*a - 4*a. Suppose a*l = -4*l + 24. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 - 7*t + 42. Let w = -401 - -407. Let a be y(w). Calculate the greatest common factor of 36 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**6\/60 - 41*u**5\/30 - 49*u**4\/12 - 176*u**2. What is the second derivative of w(k) wrt k?\nAnswer: 12*k - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7787662*r**4 - 192*r**2 - 192*r + 8 wrt r.\nAnswer: 186903888*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t**4\/8 + 4093*t**3\/8 - 7203*t**2\/4 - 20969*t + 1080 = 0 for t.\nAnswer: -108, -5, 2\/39, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**9\/13608 - g**8\/3780 + g**6\/810 - g**5\/540 - 7*g**3\/6 + 6*g**2. Let b(x) be the first derivative of v(x). Factor b(y).\nAnswer: 2*y*(y - 1)**3*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-15)\/(-360))\/(2\/72)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w\/(w\/w**(4\/23))))**(1\/57) assuming w is positive.\nAnswer: w**(-9\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -67 + 23. Let t(r) be the first derivative of 9 - 2\/3*r**3 - 1\/18*r**d + 2\/15*r**5 - 4\/9*r + r**2. What is m in t(m) = 0?\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 3:35 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-16))\/5*12320\/(-280).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1301915777 to 5 decimal places.\nAnswer: 0.13019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 44 = 2*c. Suppose -2*x + c = -1. Calculate the remainder when 10 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1572\/(-868) + -22*(-63)\/(-4851)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1602 + -1593. Which is the fifth smallest value? (a) r (b) 0.5 (c) 0.3 (d) 14 (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -128, -214, -314, -428, -556, -698?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -1. Let w(a) = 2*a**2 - 232*a + 6. Give -6*u(p) - w(p).\nAnswer: -2*p**2 + 232*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -c + 2. Suppose -2*g + 182 = -y - 6*g, 0 = -g + c. Round y to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6864 - 59742 = -5*v, 4*u - 21132 = -2*v. What are the prime factors of v?\nAnswer: 2, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 10\/4)\/(135\/180). Is 11250\/20 + (-1)\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -820001 - -1332001. What is u rounded to the nearest ten thousand?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614780483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -746300 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 - (-1 - 2 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/2*27\/(-243))\/(-2)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 881373953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - -6247 - (-4)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -50.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -u - 0. Suppose 0 = -3*j + 11*j - 40. Sort 2, u, j in decreasing order.\nAnswer: j, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108241*k**2\/2 + 135219*k\/2 + 168921\/8 = 0. Calculate k.\nAnswer: -411\/658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4109 - 141?\nAnswer: -424a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 755?\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 378\/(-75) - (-1076)\/(-26900))\/(-58).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/68 + 131\/340. Put q, -4.8, -5, 3 in descending order.\nAnswer: 3, q, -4.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 287)\/(80\/(-800)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -31584.2, 1, -20\/3 in descending order.\nAnswer: 1, -4, -20\/3, -31584.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101101011110 (base 2) in base 3?\nAnswer: -1012002022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5083 is divided by 424.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/5))**50\/((l*l**(-2\/3))\/(l\/l**(-7)*l)) assuming l is positive.\nAnswer: l**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(117)\/(sqrt(9) - sqrt(441)) - sqrt(13))**2 + (sqrt(468) - -2*sqrt(468))**2 + ((sqrt(637) + 1)**2 - (sqrt(325) - (-1 + sqrt(325))))*-1 + -1.\nAnswer: -14*sqrt(13) + 129337\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 7:34 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -9, -27536, 11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3489 + 3489 + 90*p - p + 3*p + 0*p - 2*p - 1 + 1 + (5 + 0 - 4)*(-3*p + 0*p + p) to the form o*p + l and give o.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 2*x**2 + 1. Let u be s(2). Solve 3*h + c + 0 = 7, -u = -h - 2*c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u = 2. Find the common denominator of u\/3 - 4011\/1260 and 205\/(-350) - (-4)\/14.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92460232?\nAnswer: 2, 19, 347, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*t - 144107 - 166357. Is 36 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50340382 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (122 - -1 - 123)\/(4\/2). Let k be -2 + (-2)\/4*-25. What is the nearest to 1 in -3, q, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) - sqrt(5100)*-1)\/sqrt(3).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 8) to base 7\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w + 1. Let p be v(1). Let o be -2*(-2)\/(-8)*p. Let d be 12 + (-3 - -9)\/o. What is the highest common divisor of 40 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6928 = 13045*o - 13478*o for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luguhlullggpgpphggg. Give prob of picking 1 p, 1 g, and 1 h.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.22 - -3.72. Let d = k + -2.9. Let n = -0.4 + d. What is the closest to -1 in -0.1, n, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {a: 16, b: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 16 = 2*h + p, 3*h - 23 = -2*p. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10359714877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45085817*n**2 + 1054*n + 1218 wrt n.\nAnswer: -90171634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 10*t**2 - 10*t + 14. Let o be a(9). Suppose 51 = l + 5*m, 0 = -o*l + 3*m - 59 + 286. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2652 is divided by 818?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-21)\/9*-6. Suppose 44 = 3*x - s. Suppose -p = -x - 18. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**3 + 356*z**2 + 71*z.\nAnswer: -12*z + 712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0.3, 1, -4, 1.92, 21 in ascending order.\nAnswer: -4, 0.3, 1, 1.92, 12, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6*c - 2 = -2*n, 4*n - 3*c = 4. Suppose -3*r - 4*o = 2*r - 400, -4*o - 20 = 0. Calculate the remainder when r is divided by ((-116)\/8)\/(((-4)\/8)\/n).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 761 from 297.744.\nAnswer: -463.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 187901? (a) 0.2 (b) -7 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 8:52 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + 1 - (164 + -152)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -179 - -202. Solve a*l + 6*l = -145 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/381102 and 83\/1678186?\nAnswer: 95656602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -11. Suppose 3*h - 4*h + 16 = 2*q, -a*h + 14 = -q. What is the least common multiple of 9 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 6*s - 16. Let c be x(-9). Suppose -4*f + 51 = c. What is the lowest common multiple of f and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -555*f**5*i + 2*f**4*i + f**2*i + 475*f**2 wrt f?\nAnswer: -33300*f**2*i + 48*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139 + -59. Suppose p = 5*v + 20. What is the remainder when (36 - 2) + -1 + 1 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*(-8)\/((-4)\/(-8)*-1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2. Let c(i) be the third derivative of i**5\/60 + 5*i**4\/3 - 10*i**2 + 3. Calculate w(c(z)).\nAnswer: 2*z**4 + 160*z**3 + 3200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*r + 821 = -399. Solve 0 = 5*s - 3*x + 7, -17*s + r*s = 2*x - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/4*(-14)\/21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8*w - 5 = 0, -4*j + 14 = -2*w. Let m(l) = 2*l**2 - 7*l + 9. Let s be m(j). What is the greatest common divisor of s and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3906201 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/9))**(4\/3) assuming c is positive.\nAnswer: c**(-4\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 19350\nAnswer: 9675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19553567971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 172972 and 123998.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 16 (b) -5 (c) 2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 = -7. Suppose -11*v = -u*v - 655. What are the prime factors of v?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370800 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - i - 780. Let r = 125 - i. Find the common denominator of 77\/2 and r\/(-8) + (-3 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 18*r**4 - r**3 - 12*r**2 - 5. Let s(z) = -760*z**3 + 3 + 760*z**3 + 6*z**2 - 9*z**4. Let u(g) = -3*p(g) - 5*s(g). Suppose u(d) = 0. Calculate d.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 417557395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/4 - 2)*(8 - -3546). Suppose 4*z = -5*j + f + 1254, 5 = -j. What are the prime factors of z?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1391 is divided by -26 - -24 - -6 - (0 + -123).\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42142399 to the nearest integer?\nAnswer: 6492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s = 4*r + 21, -4*s - 16 = 4*r. Let l(k) = -k**3 + k**2 - k + 1. Let v be l(r). Suppose -b + 12 - 11 = v. Solve -3 - b = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19.89 and 9.\nAnswer: 28.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 183 or 86?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*x - 41 = 3*t, 0 = -3*t - 4*x - 18. Does 8 divide 496\/3*(10 + (t - -3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 12:17 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 3*o + 21, 139*o - 135*o - 3 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 322757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 - 23*z**2 + 9*z - 12. Let w(h) = h**3 + 11*h**2 - 4*h + 5. Let a(k) = 5*w(k) + 2*y(k). Determine a(6).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k - 125 = -33*k + 5*h, 0 = 3*k + 2*h - 197. Solve 67*c - 80*c - k = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.068 + 0.668. Let o = -0.58 + n. Let i = 0.07 - o. Which is the biggest value? (a) 3 (b) 0 (c) 2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 u, and 1 s when three letters picked without replacement from {u: 2, g: 4, b: 1, s: 1, x: 6, j: 4}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpp when three letters picked without replacement from {p: 2, w: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + s - 5. Calculate h(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i + 786*i + 319*i = 14938 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -33468006 and -12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 6*r - 2*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100010111001010101000 (base 2) in base 8?\nAnswer: 24271250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Suppose n*f = -f + 2. Solve f*c = -3*b + 4*b - 9, -c + 3*b - 2 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7 + z**3 + 4*z**2 + 11*z + 3*z**2 - 4*z. Let v be a(-6). Let y = -51 - -53. Solve 7 = y*l + v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 159 - 77 - 75 + 21*s - 46 - s**2 - 39. Calculate j(17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -27576, -27565, -27554, -27543?\n\"Answer: 11*g - 27587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.392826 microseconds in seconds?\nAnswer: 0.000009392826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1525 by 305.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 29 = -15. Let k = 81 - i. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8919926 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5\/3 + 1327*k**4\/3 + 16864*k**3 + 154884*k**2 + 417312*k = 0. What is k?\nAnswer: -1288, -27, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7)\/f)**(14\/3)*(f**(-8))**44)**(-7\/11) assuming f is positive.\nAnswer: f**(8176\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105710*i**2 - 102201*i**2 + 205594*i**2.\nAnswer: -2317*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 793 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*4065513.\nAnswer: -211406676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 415 - 37 = 0. Calculate the highest common factor of p and 2466.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -151, -331, -583, -907?\nAnswer: -1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a - 1. Let v be k(-2). Let u = 238 + -138. Let c = u - 45. What is the highest common factor of v and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 149*g + 503. Calculate s(-78).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(13) + -2 + -3 + (-4 + sqrt(117) + sqrt(13) - sqrt(52)\/sqrt(4)*2))**2.\nAnswer: -66*sqrt(13) + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 16 = -3*a, 5*a - 90 = -70 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11719?\nAnswer: 11719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 18*l**3 - 53 - 17*l**3 + 2*l - 5*l + 6*l**2. Is m(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -99. Let r(k) = -79. Let y(w) = -5*r(w) + 4*s(w). Let f(c) = c**2 + 1. Let j(i) = -i**3 + 6*i**2 - 7*i + 9. Let g be j(5). Give g*f(p) - y(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/10, 232, -3, 2?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -232\/137, 0.3, -0.66, -0.3?\nAnswer: -232\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.3 + -46.7. Let i = a + 64.9. Round i to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 2:22 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1196953?\nAnswer: 17, 181, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w. Let p be (-2)\/(-6) - (-60)\/36. Let r(t) = 3*t**2 + 5*t**p - 7*t**2 + 2*t**2. Determine r(l(s)).\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -3, 4, -840, 994 in decreasing order.\nAnswer: 994, 5, 4, -3, -5, -840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*j**3 + j**2 - 10*j + 6 wrt j.\nAnswer: 150*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m. Let b(i) be the second derivative of i**4\/6 + 5*i**2\/2 + i + 110. Calculate b(s(c)).\nAnswer: 2*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*i = -15. Let r be (-8)\/i*12\/(-8). Suppose -4*z - 3148 = -4*f, 5*z = 2*f - r*f + 1588. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0 + (4 - 2) + 0. Solve -t*n + n = 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 0.2, 1\/18, 5, 47?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*z = -76, 5*d - 164*z - 197 = -166*z. Suppose -6 = 4*v - 30. What is the remainder when d is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3458\/21 + (-2)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 9*q**2 - 10*q + 7. Let d be v(6). Let i = d + -200. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -26*n + 82. Solve r = n*w + 3*r + 16, -5*w - 3*r = 19 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*p + 13, 2*v = 4*p - 224. Let z = v + 107. Let l(s) = -8 + 3 + 0*s - 4*s + 2*s**2. Let f(b) = -b**3 - b**2 + b + 1. Give z*l(a) + 2*f(a).\nAnswer: -2*a**3 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/17)*w)\/w)**27 assuming w is positive.\nAnswer: w**(54\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 38476 = -2*j - 38400, 46*u - 1288 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/69 - 95*(29\/(-5))\/(4669\/406)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**3 + 8*t**2 + 12*t - 34. Does 65 divide g(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 - (3 - -4 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000138249193 to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3\/2194 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) -83\/2 (c) 7\/3 (d) 2\/3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w + 152 = 257 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -59.964. Let u = 6.036 - p. What is the second smallest value in 1, u, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6721*g - 6655*g - 2244 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -15*n**3 - 35*n - 18. Let f(q) = -4*q**3 - 9*q - 5. Determine -22*f(p) + 6*x(p).\nAnswer: -2*p**3 - 12*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 5*a - a)*(-7 + 2 + 0 - 1 - 1 + 3 + (3 + 2 - 4)*(3 - 5 + 4) - 2 + 2 + 1 - 190 - 232 + 290).\nAnswer: 133*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, j: 3, k: 1, a: 1, y: 1, f: 3}. Give prob of picking 1 f and 2 j.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5 - 20 + 3*o**3 + 9 - 4*o + 2*o**2 + 9. Let b be u(1). Solve 0 = -x + 5*x + g + 19, x - 8 = b*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/((-4)\/(16\/(-4))). Put 3, x, -8 in increasing order.\nAnswer: -8, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2277310 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(y**4 + y**4 + 0*y**4) - y**4 + 0*y**4 + 3*y**4 + 2*y**2 + y**4 - 2*y**2 - 2*y**4 + 3*y**3 - 3*y**3.\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -29811 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -17*m**4\/24 - m**3\/2 + 2*m**2. Is l(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -8, 28, 5, -3 in decreasing order.\nAnswer: 45, 28, 5, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 420*u - 2454. What is m(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 - 4*l - 2. Suppose x + 4 - 11 = 0. Let w be d(x). Let r = -6 - -19. What is the greatest common factor of r and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c68d - -3?\nAnswer: 2c692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - -5)*(-4)\/(-10). Let z(s) = 9*s - 10. Is z(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/(-28)*34 - (-24)\/(-56). Suppose -6 = 2*o - r. What is the highest common factor of 30 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011222 + 3033?\nAnswer: 1020321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -396, -349, -300, -249?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4854623 divided by 3.\nAnswer: -4854623\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-3))\/6*(-68)\/(-51).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + x. Suppose 3*k - 2*k - 20 = 0. Let n be 1\/(-3) + k\/(-12). Let q be c(n). Solve w + w = -q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 14, u: 1}. What is prob of picking 1 v and 1 o?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a - 5*a - 6*a + 3*a to b + v*a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 6*o - 72. Let w be d(6). Which is the closest to -0.2? (a) 1 (b) -12 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2\/5 (c) -2\/15 (d) -0.2 (e) 10955\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.4 and -2.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542*t + 27 = -533*t. Let g be -2 - (-4 + 4\/2). Suppose 0 = -g*n + n - 2. Solve n*f = -t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**5 + 5*z**4 + z**3 - 5*z**2 - 6. Let m(x) = -30*x**5 - 30*x**4 - 5*x**3 + 30*x**2 + 35. Let g(h) = 35*i(h) + 6*m(h). Let g(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1458499?\nAnswer: 7, 23, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*o - 12. Suppose o = 2*q - 9. What is the greatest common divisor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - 5*h**2 - 13*h + 7. Let n = 6 - 0. List the prime factors of s(n).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3595341 millennia in decades?\nAnswer: 35.95341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 501 and 185871.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -66. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kucu when four letters picked without replacement from uuduuoukukukkkckkkkc.\nAnswer: 21\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**3 - 4*n**2 + 5*n - 3. Let i be -1 - 0 - (2 + -3). Suppose 10 + i = 2*x. Let d(t) = 4*t**3 - 5*t**2 + 6*t - 4. Determine x*d(l) - 6*o(l).\nAnswer: 2*l**3 - l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 1:06 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 4, o: 2, q: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 96*l**2 + 927*l - 199. Give y(-9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 44*v - 42*v - 11 = 0, 5*v = 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 862280.79 and 0.16.\nAnswer: 862280.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(sqrt(7) + sqrt(63)))\/((sqrt(48)\/sqrt(2))\/sqrt(12) + sqrt(2)) + (sqrt(33) + 6*(sqrt(33) + sqrt(99)\/sqrt(3)))\/(sqrt(84)\/sqrt(7) + sqrt(3)).\nAnswer: 107*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 4*f + 2*f)*(-488 - 331 + 1170 + 1076).\nAnswer: 7135*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-28)\/(-10))\/((-54)\/(-24165))?\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 126 + 0?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 172*b + 1. Let r(i) = -85*i + 241*i - 81*i - 79*i. Give r(v(c)).\nAnswer: -688*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 2:13 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(243) + 0 - sqrt(243)) + 0 - sqrt(243))*-4*1 + 4)**2*1.\nAnswer: 288*sqrt(3) + 3904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(7)) + 0 - (1*sqrt(700)*3)**2.\nAnswer: -6290 - 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 529433 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -56617000 to the nearest one million.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**2 - 1\/6*t**4 + 0*t - 1\/60*t**5 - 1\/2*t**3 + 0. What is u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3586, -3517, -3450, -3385, -3322, -3261, -3202?\n\"Answer: -u**2 + 72*u - 3657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*k - 5450 + 10690 = 5412 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1807 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*g - 2688 - 9 + 11827 = -3436 for g.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-155428)\/(-18) - -6 - (-2 - (-85)\/45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5583 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172 and 1462.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 - -321. Let d = -152 + o. Sort d, 0.1, 0.\nAnswer: 0, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 22*w - 84. Determine o(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 5:43 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -38.75. Let j = 0.95 - g. Which is the smallest value? (a) 21 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72932, 72910, 72876, 72830, 72772, 72702, 72620?\nAnswer: 72526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -2*u + 15. Let i = u - -5. Suppose -v - i*v = -15. Solve 25 = v*t - 0*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 162512 + 12114?\nAnswer: 204626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23094, -25175, -27256, -29337, -31418?\nAnswer: -33499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 4*g - 12704 = g - 12695, 3*h - 9 = 6*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 3*s + 2. Let c be x(-1). Let u be (-21 + c)*(-2)\/5. Suppose b - 5*p - u - 50 = 0, 0 = -2*b + p + 107. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353*f + 123 = -368*f + 1443. Solve f*h - 62*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10 - 780)*(-3)\/6.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3*sqrt(45)\/(sqrt(9) + (sqrt(9) - (sqrt(225) + (sqrt(225) - sqrt(225)*2) - sqrt(225)))) - 6*2*(sqrt(125) + 1)) + 2)**2.\nAnswer: 8340*sqrt(5)\/7 + 874345\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 0*n**2 - n**2 + n + 2*n + 5. Let u = 7 + -3. What is the units digit of l(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -343*f**2 - 5*f - 2*f - f + 8*f as n*f + r*f**2 + g and give r.\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 1 + 63*h - h**2.\nAnswer: -h**2 + 63*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 4\/(8\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (124\/651)\/(-24 + 27 + (-14)\/3)?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 184672*r - 14 - 184671*r - 139 + (3 + r - 3)*(0 + 3 - 1) + 1 - 3*r - 1 - 2*r - 20 + 20 in the form n*r + c and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + sqrt(288)*2 + -1 + sqrt(288) + 4*(sqrt(288) + -1))**2 - (-2 + -2 + (sqrt(288) - (sqrt(288) + -2)))**2) + 5.\nAnswer: -960*sqrt(2) + 18458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 786?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + c378?\nAnswer: c379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12567204.\nAnswer: 2, 3, 13, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 126. Let d be (-1)\/1*(2 + -2). Let u be k(d). Suppose 4*p + u = 5*w - 0*p, -5*w + 2*p + 118 = 0. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 20*s - 52. Let c be y(-21). Let j(i) = 4*i**2 + i + 6. Let q be j(-5). Let x = q + c. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/54*-30)\/(2\/(48\/4)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 7*b**2 + 12*b + 35. Let f be o(-6). Let k be (4\/12)\/((-4)\/12) - f. Solve -2\/19*q**2 + 2\/19*q**3 + k - 4\/19*q = 0 for q.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 e, and 1 h when four letters picked without replacement from {l: 2, e: 3, h: 1, p: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(240)*1)\/sqrt(5) + 2)**2.\nAnswer: 56*sqrt(3) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lezlblllbzzbellllzz. What is prob of sequence el?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 723 and 15?\nAnswer: 3615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*n - 154*n - 59 + 60)*(41 + 2*n - 5 - 9).\nAnswer: -210*n**2 - 2833*n + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 6.\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 163 or 164?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 32*s + 58. Give r(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**6\/1800 - y**5\/600 + y**4\/60 + y**3\/2 + y. Let k(c) be the second derivative of p(c). Suppose k(t) = 0. What is t?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -280 + 406. Let q be (-28)\/k - (-652)\/18. Find the first derivative of q + 18*m**3 + 15*m**3 - 5*m**3 + m**3 wrt m.\nAnswer: 87*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 130224 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9657.334 + -9649. Let x = -0.824 + h. Let t = -0.49 - x. What is the smallest value in 0, -5, 2\/11, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -397841, -795683, -1193525, -1591367, -1989209, -2387051?\n\"Answer: -397842*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2.9. Let i = -1\/81394 - 203729179\/244182. Let h = i - -834. Which is the nearest to h? (a) -0.5 (b) g (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 5*p + 5*p + (-3*p + 4*p + 0*p)*(5 - 3 - 3))*(1 - 1 - 1)*(6 - 3 + 1).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -120, -121, -120, -117?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -1. Suppose -c = -2*r - 5, -5*r + 25 = -4*c + 9*c. Let w = r - t. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233 + 3*j + 4*j - 5*j + 1026.\nAnswer: 2*j + 793","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1156\/5*i**2 + 136\/5*i**3 - 4\/5*i**4 + 0*i = 0. Calculate i.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3744 and 12402?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1204973557, -1204973558, -1204973559?\nAnswer: -1204973560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800958 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 163. Let w = n + -123.2. Let s be 1 + (2\/(-14) - 1). Which is the nearest to w? (a) 4 (b) s (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - 16*v - 4. Let f(b) = -5*b**2 - 49*b - 11. Give 4*f(t) - 11*s(t).\nAnswer: 2*t**2 - 20*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**9\/3024 - x**5\/40 - x**3\/3 - 2*x**2. Let q(p) be the first derivative of t(p). Find the second derivative of q(c) wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4014 and 3703361?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1232\/1624)\/(15*14\/6090).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13032284, -13032311, -13032384, -13032527, -13032764, -13033119, -13033616?\nAnswer: -13034279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -461 + 582. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -602756*w**2 + w + 3. Let t be q(3). Let u be 8 + -14 + (10424803 - -1). Let x = t + u. Round x to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119 - -4. What is the remainder when p is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26668\/66645 - 2\/13329. What is the fifth smallest value in 0.1, j, 2, -157\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -298 + 302. Suppose -l + 4 - 3 = m, 2*l = -z. Solve 4*f - 5*y = -1, m*y = 4*f + 14 - 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - l**2 + l. Let i be h(-2). Let d(m) = 153*m - m**2 - 75*m + m**3 + 0*m**2 - 76*m - 3. What are the prime factors of d(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 184029.9 litres?\nAnswer: 184029900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 0 - 3 + 4 - 3*u**3 + 0*u**3. Suppose 0 = -846*v + 851*v + 20. Let l(k) = 16*k**3 + 5*k**2 - 6. Calculate v*l(y) - 22*w(y).\nAnswer: 2*y**3 + 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 806 - 1615\/2. Which is the nearest to 8? (a) 0.1 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -366 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2208 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-14044.\nAnswer: 70220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a + 1 + 2*a + 2*a. Let t be l(-6). Let d = -0.54 - -0.54. What is the nearest to d in 1, -2\/3, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 v, and 1 r when three letters picked without replacement from {v: 2, o: 1, l: 1, r: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.8 or 67?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21729529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-414)\/92*(-4)\/(-33). Which is the nearest to -2\/27? (a) 3 (b) 0 (c) 1\/2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 1636 + 520. List the prime factors of f.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396, 813, 1228, 1641, 2052, 2461, 2868?\nAnswer: 3273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4786*d*i**3*m - d*i**2 - 2*d*i*m - 31*d - 17*i*m wrt i.\nAnswer: 28716*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -62158 (base 12) to base 16\nAnswer: -1f454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.0641 + 0.0641. Which is the closest to -0.1? (a) -1\/2 (b) 1\/5 (c) -39 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26, -51, -64, -59, -30, 29, 124?\n\"Answer: z**3 - 32*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -11*x**3 + 0*x**2 - 5*x**3 - x**2 + 4 + x + 15*x**3. Let v be o(0). Let p be (4\/(-10))\/((-1)\/(-5)). Sort -8, v, p in decreasing order.\nAnswer: v, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/(32\/32)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 - 144. What is the second derivative of -126*l + 60*l + 68*l - 3*l**i - 10 wrt l?\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 3:54 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**3 + 1 - 1 + (-y + 2*y - 2*y + (2 - 1 + 2)*(-1 - y + 1))*(-475 + 0*y**2 - y**2 + 473) to g*y**3 + l + c*y + v*y**2 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*t + 31*t + 29*t + 35*t.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -62, -132, -210, -296, -390, -492?\n\"Answer: -4*s**2 - 58*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1272*-0.3\nAnswer: -0.03816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 210398*c + 841601. Give w(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**17\/(g*(g*g*(g**(-6\/11)*g)\/g)\/g))\/(g**(-14)*g**(-9\/7)) assuming g is positive.\nAnswer: g**(2374\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -297 - -179. Let z be -9*((-1)\/(-1))\/((-30)\/10). Let b be h - (z + 0) - -1. What is b rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-9))\/(3\/9). Let m = 3.96 - 4. Let g = 0.36 - m. Is x bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210 by 3.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13487368 and 12?\nAnswer: 40462104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 9:20 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/36910 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -8) + 10 - -23?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -21*i**2. Suppose -7*p - 48 = -31*p. Let f(j) = 0*j + 0*j - 54*j**2 + 56*j**p. Give f(u(b)).\nAnswer: 882*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + ((sqrt(275) + sqrt(275)*-1 - sqrt(275))\/sqrt(5) - sqrt(55)) + sqrt(55))\/(sqrt(35)\/(-2*sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12132739849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**5\/60 - x**4\/12 + x**3\/2 - x**2. What is the remainder when 15 is divided by u(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*v - 20, 10*b - v + 5 = 5*b. Solve b = 2*t - 0*t - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4 + 2 + 2 - 1 + 5*w - 9. Determine d(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3011 - -5464. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 289539, 579081, 868621, 1158159?\n\"Answer: -x**2 + 289545*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/6, 0.092, -3, -6, 11\/4 in descending order.\nAnswer: 4, 11\/4, 1\/6, 0.092, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccfccfcccf. What is prob of picking 2 c and 1 f?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -39*u**2 - u + 2. Let m be s(1). Let g = m + 12. What is the units digit of (-4)\/g + 594\/26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4283 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1348 - -958. Let k = x + 842. Let m = k + -4072\/9. Which is the nearest to 0.1? (a) 4 (b) m (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 4:37 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/18)\/(2\/(-732)). Let v = 279 - c. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 15\/82 (b) -2\/11 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 154.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(78) - (((-2*sqrt(78) - sqrt(78)) + sqrt(78))*6 + sqrt(78)))\/(6*sqrt(54)) + (sqrt(104) - -3*sqrt(104)*4)\/(sqrt(800)\/sqrt(4)).\nAnswer: 59*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -27668\/63 at most as big as -439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1030847152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10\/2*(1056\/110)\/(-16)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*25*(-28)\/42*1\/2?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*a - 20. Let f(h) = -14*h + 3. Let t be f(a). Suppose -5*s + t - 9 = 0. What is the greatest common factor of s and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -7*1) + -1. Let h = 10 - 10. Suppose l + l - q = h, 4*w + l - 86 = 0. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -724, 0.28, 2, 14, -0.5 in ascending order.\nAnswer: -724, -0.5, 0.28, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3*v + 22 = 27, -5*v + 3 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2279*n**2. Let z(t) be the third derivative of t**4\/12 - 1187*t**2. Give o(z(d)).\nAnswer: 9116*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 400614.962 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**3\/3 - h**2\/2 - h - 20. Let t(v) = -25*v**2 + 4*v + 9. Let w(p) = 4*s(p) + t(p). What is the derivative of w(i) wrt i?\nAnswer: -58*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 108*i**2 - 2. Let c be b(-1). Let p = -42 + c. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 71*h**2 + 220*h - 129. What is y(-74)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -4771935?\nAnswer: 4771934.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 7*v**2 - 2*v - 10. Let q be r(-7). Suppose q*j - 191 = -55. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - -19. Let d = q + -34.9999873. What is d rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -295 - -303. Suppose 3*p + 2708 = 4*w, -3*w + s*w - 3408 = -2*p. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/109 - -212\/327. Let h = 51 + -50. Let d = 0.92 - 0.92. Which is the closest to -0.2? (a) h (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 4)*(-4*d + 2 - 2)*((5 - 5 + 2)*(1 + 1 - 1) + 105 + 97 + 17).\nAnswer: 884*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**4*t - 1129317*d**3*t - 5*d**3 + 206*d + 1947*t - 5 wrt d?\nAnswer: 12*d**2*t - 6775902*d*t - 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eieextxxtxxxtttxt. Give prob of picking 1 e and 3 t.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7) + (sqrt(7) - (sqrt(112) - 2*sqrt(112)))).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 5*x + 2, 5 = -3*b - 3*x - 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.61 - -1.99. Let z = -13.55774 + d. Round z to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -287169205.29?\nAnswer: 287169205.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 48035, 2.\nAnswer: -3, 2, 48035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*x - 14*x - 30316 = 68*x - 1284*x for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2024*m = 2054*m - 180 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 10*w + 60. Let j(m) = -48*m - 300. What is 14*d(z) + 3*j(z)?\nAnswer: -4*z - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/5)*z*z**4*z*z*z\/(z*z**(-5\/3))*z*z**3 assuming z is positive.\nAnswer: z**(187\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -638 (base 11) to base 3.\nAnswer: -1001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from {t: 1, c: 2, s: 2, d: 6, g: 3}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.81295 to two dps.\nAnswer: 41.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba32 (base 12) to base 10.\nAnswer: 20486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 124.09 + -533640.\nAnswer: -533515.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 132366 + 0.37.\nAnswer: 132366.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 85*k - 5. Let g be d(-2). What is the common denominator of g\/40 - (0\/1)\/(-1) and 17\/58?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by -18.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/8))\/z**(3\/4) assuming z is positive.\nAnswer: z**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, s: 1, f: 6}. What is prob of sequence fcff?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.227001ng in tonnes?\nAnswer: 0.000000000000003227001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -26. Let z be 13 - 9 - a\/(-2). Suppose -l = -3, 5*d - 14 = -z*l + 18. Solve r - 5 = -d*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 91*y. Let b be t(5). Let o = 21515 - 21445. Calculate the greatest common factor of o and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 15. Let n(y) = -y**2 - 6*y - 2. Let j be n(d). Solve 0 = -2*b + j*b + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/5 - 202*m**3\/5 + 4839*m**2\/5 - 20038*m\/5 + 3080 = 0.\nAnswer: 1, 4, 22, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6063807 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62 + -432?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22654207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 49*p**2 - 1. Let l(d) = -3*d + 4. Let q(n) = -5*n + 6. Let x(r) = 3*l(r) - 2*q(r). Calculate h(x(y)).\nAnswer: 49*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -12*a + 30 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -44*t - 12. Let q = 31276 + -31265. Let v(g) = -15*g - 4. What is q*v(f) - 4*i(f)?\nAnswer: 11*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 82 = 8*j. Suppose -j*r - 5*r + 13 = 0. Let m(l) = 14*l**3 - l**2 + 1. Give m(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778024853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.303 times -157?\nAnswer: 9153.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 7. Let h be (0 + l)\/((-1)\/(-3)). Suppose -3*t + 8*t + 2*p - 38 = 0, -h*t - 4*p + 20 = 0. What is the remainder when t is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 13*f**2 - f**3 + 13*f**2 as m*f**2 + q + o*f**3 + k*f and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49536617*f**6 - f**2 - 22219726*f - 2 wrt f?\nAnswer: -5944394040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1097*n**2 - 1953*n + 11709. What is the tens digit of s(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1032 - 1033)*((-1)\/((-110)\/(-4)))\/(9\/(-90)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*t**5 + t**4 + 172374*t**3 + 28*t**2 + 1360*t - 528?\nAnswer: -3780*t**2 + 24*t + 1034244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 675 and 600?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 16, -5*v + 3*v = 3*g + 7478. Let r = v - -5932. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, y: 1, p: 2, g: 1, j: 3}. What is prob of picking 1 r and 2 j?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 3, -3, 0, 63, -20161 in decreasing order.\nAnswer: 63, 3, 0.1, 0, -3, -20161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 16. Suppose 2*x + s = -c + 2, x - 2*c = 1. Sort 0, x, -2 in increasing order.\nAnswer: -2, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782142982 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -772, -1721, -3022, -4657?\nAnswer: -6608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 259 (b) 0.5 (c) -3\/13 (d) -0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2094, -4164, -6236, -8310, -10386, -12464, -14544?\nAnswer: -16626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, a: 6, r: 5, w: 1}. Give prob of sequence wss.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v + 118 = 4*s, 0 = -s + 3. Let n = -66 + v. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3584, 3582, 3580, 3578, 3576?\n\"Answer: -2*v + 3586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from zpbnzonpkkzz.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/9 in 1, 1\/6, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53029.06l in millilitres?\nAnswer: 53029060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 119 = 2*k - 5*k, -4*k - 158 = -2*r. Calculate the common denominator of 29\/3 and (800\/k)\/8 + 1.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 35 = -d. Suppose -w + d = 5*y, -3*y = -2*w + 3 + 9. Solve 4*b - b = w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612 is divided by 607.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-2*sqrt(171) + sqrt(171)))\/(2*sqrt(1296)) + -3)**2.\nAnswer: -sqrt(19)\/4 + 5203\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/(j*j\/j**19)))\/j)\/j**24)**(-13\/5))**(-3\/22) assuming j is positive.\nAnswer: j**(-819\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((42\/(-21))\/(-24)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1597959 - 11545.435.\nAnswer: -11545.5947959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(504))\/sqrt(2))\/(sqrt(1296)*-2 - sqrt(1296)))**2.\nAnswer: 7\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/5 and 15\/116.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 m when four letters picked without replacement from uuuuvmmrurrrmuumumur.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64383 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(50)\/sqrt(10) + -2 - sqrt(5))**2 + 3 - (sqrt(10)\/(sqrt(2) + 4*sqrt(2)*3) + 4).\nAnswer: -25 - sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from sxnnxwxxnx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1056\/99)\/8*(0 - -1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -448.92511 to one dp.\nAnswer: -448.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -13*d**5\/10 - 23*d**3\/3 - 52*d + 57. Let u(s) be the first derivative of q(s). What is the second derivative of u(r) wrt r?\nAnswer: -156*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -7*h**2 + 6*h + 6. Let i be ((-1)\/3)\/((-1)\/15). Suppose -1 + 4 = d - 3*r, 2*r = 2. Let u(o) = 5*o - d*o**2 + 5 + 5*o - 5*o. Give i*w(c) - 6*u(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 434424 and 579232.\nAnswer: 1737696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 260\/(-32)*2 - -2. Which is greater: -3 or q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-42)*3 - (-233)\/(-2). Which is smaller: -116 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from jpdgdgejuuud?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*h - 5 = 0, r + 5*h - 20 = -0*h. Let k be ((-66)\/4)\/(3\/(-16)). Let y be (-6)\/k + (-5)\/(-20). Put r, -10, y in ascending order.\nAnswer: -10, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12 + 10)*(0 + 0 + -2). Let h(j) = -j + 13. Let m be h(13). Solve -4*u + s*k + 4 = m, u + 5*k + 11 = 3*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 182960 and 440?\nAnswer: 2012560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (432\/(-84))\/(-6)*154\/16 and 0\/2 - 34\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-490)\/1225*7\/4*10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -25 + 8 + 8 + -6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8549 (base 12) in base 9?\nAnswer: -22023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-227)\/3)\/((77\/21)\/(-11)). Let t = 307 - d. Calculate the smallest common multiple of 72 and t.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 614456.30088 - 614209.3. Let q = 247 - k. Round q to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 31 - 33 + 92 - 4*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4)\/m)**(-45)*(m\/(m*m\/((m*((m\/m**0*m)\/m*m)\/m*m*m)\/m)))**(15\/4) assuming m is positive.\nAnswer: m**(255\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 6*q**2 - 2*q + 16. Let x be m(6). Let j be (-2)\/(-4)*(3 + 1). Suppose j = -x*b - 14. Sort b, -1, 1 in ascending order.\nAnswer: b, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 36 = 4*a. Let w = -8 + a. Suppose 20 = w*o - 8. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/15)\/((-6)\/(-5)). Let z = 15 + -10. Let j = -68\/9 - -70\/9. Which is the nearest to 2\/5? (a) k (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 284880288.8 to the nearest ten thousand.\nAnswer: 284880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 67362, 67387, 67430, 67491, 67570?\n\"Answer: 9*o**2 - 2*o + 67355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*r - 3*r - 166, -q + 74 = 3*r. Let c = q - 34. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 16 + 6. Solve v*u + 2 = -3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2275.340789 to 2 dps.\nAnswer: -2275.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, -4, 3, -2889\/2 in ascending order.\nAnswer: -2889\/2, -4, -0.5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, h: 2, n: 3, q: 5, z: 7, m: 1}. Give prob of sequence nmw.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*sqrt(147)*1 + sqrt(147) + -3)**2 + ((sqrt(147) - sqrt(147)*3)*3 + -4)**2 + -5.\nAnswer: 126*sqrt(3) + 8985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-182)\/52*-4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 454 divided by -3651.\nAnswer: -454\/3651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3451745492264 and 2.\nAnswer: 3451745492266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*u = -5*m + 43, -4*u = m + 14. Let o = -4 + m. Suppose -5*s + 40 - 8 = 4*z, 3*s = 4*z. Solve b - z*l = -6, o*b + 0*l + 7 = l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16872\/6083 + -1\/1106. Calculate the common denominator of s and 137\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 461, 15, -441, -907, -1383, -1869?\n\"Answer: -5*o**2 - 431*o + 897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-297)\/(-12) + (-10 - (-82)\/8) - 4. Calculate the highest common factor of 123 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2429.17063 and 11795.\nAnswer: 14224.17063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 230, 627, 1020, 1409, 1794?\n\"Answer: -2*x**2 + 403*x - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4593619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 105\/13 or 0?\nAnswer: 105\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Suppose -291 = -5*b + 4*t - 5*t, -n*t = 8. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (52\/80 - 14\/35) + (-11)\/28. What is the fourth smallest value in -3\/2, h, 2\/15, -3\/7, 1\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v + 10. Let h be (1 - v)*(-1 - -2). Let s = h + -4. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-4) + 2)*-1. Let r be 8 + (4 + -13 - -6). Solve 25 = -r*q - p*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130\/11 + -12. Suppose 2*v + v - 315 = 0. Let p = v + -310\/3. Put p, -0.4, q in descending order.\nAnswer: p, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + s + 8 = 0, s = -0*k - 2*k + 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5881, 23617, 53181, 94573?\nAnswer: 147793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c. Let i(j) = 58*j - 33. Determine i(b(q)).\nAnswer: -174*q - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 27 = -17*o - 3*z, 4*o - 4*z + 28 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62444 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 507 + -506. Which is the nearest to 0? (a) 2\/5 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1296.43 and 2.538702.\nAnswer: 1298.968702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 1:46 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 4, -4, 1, -2, -11.\nAnswer: -24, -11, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/25)*y\/((y*y**(1\/2)\/y)\/y))\/((y\/y**0)\/y)**29*(y**(-5\/3)\/(y*y**(-2\/3)\/y))**(-34) assuming y is positive.\nAnswer: y**(1779\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 3*g + 5*g)*(-25*g - 11*g**3 + 33*g**3 + 28*g).\nAnswer: -22*g**4 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and -96905.\nAnswer: 1938100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -7*q + 17812*j - 17813*j, -3*q - j = -16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*x - 16359, 0*x + 5*x = -2*d - 16349. Does 59 divide d\/(-15) - 40\/50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -4b77?\nAnswer: 4b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 w when three letters picked without replacement from {h: 1, n: 3, s: 1, q: 4, k: 1, w: 4}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -19*q + 56. What is a(5)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/10 + 17*m**3\/10 - 93*m**2\/10 + 35*m\/2 - 49\/5 = 0. What is m?\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 8*w - 7. Let p be r(-8). Let t be 333\/(-63) + (-2)\/p. Let m(n) = -10*n**2 + 7*n**2 + n**3 + 5*n**2 - 2 + 4*n**2 + 4*n. Calculate m(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(512)*-3 + -1 + sqrt(1152))**2 + (sqrt(3200) + (1 + sqrt(3200))*3)**2 + -3.\nAnswer: 1008*sqrt(2) + 52357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nna when three letters picked without replacement from {a: 4, n: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(125))**2 - -3*(0 + sqrt(5)).\nAnswer: 43*sqrt(5) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 48 = o - 277, 349 = o + 3*b. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 - 5. Let i(j) = -j**2 + 1. Let p(d) = 3*i(d) + l(d). Let c(v) be the first derivative of p(v). Let f(a) = a**2. Give f(c(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(144) + (-1*sqrt(144) - sqrt(144)) + sqrt(144))*1 - sqrt(144))\/(sqrt(21)\/(sqrt(7)*-1) + sqrt(363)*1).\nAnswer: -2*sqrt(3)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - 27\/18.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**5*x + 41611*p**2*x**2 - 6108*p*x**2 + p*x wrt p.\nAnswer: 80*p**3*x + 83222*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 7. Let m be b(-6). Suppose -m*i = 4*t - 40, 0*i = 2*t + 2*i - 18. What is the tens digit of (-20)\/50 + 302\/t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1944 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62*x**5 + 6 - 14 - 1 + 7 + 10*x wrt x.\nAnswer: -1240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3033 + 0.0133. Let b = -2.2 - x. Let d = 0.29 - b. What is the second smallest value in -0.3, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 divided by 79?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 93213119 - 93213119 - 2198*x as u + w*x and give w.\nAnswer: -2198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 5*s - 21, 5*j - 196*s = -202*s - 25 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 12*w**2 - 28*w - 246. Determine h(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.72261 weeks to minutes.\nAnswer: 400403.9088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l = -8. Suppose v = 5*y - 21, y = l*v + 5*y - 28. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.63524449 to 2 decimal places.\nAnswer: -1.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 1. Let d(i) = 5*i**2 - 5*i + 5. Let b(h) = d(h) - 5*j(h). Let a(z) be the second derivative of z**4\/12 + 11*z. Give b(a(w)).\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/1104043 and 38\/872645?\nAnswer: 491299135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -28989 rounded to the nearest 100?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-7))\/((-15)\/(-1085)) and 38\/41?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4139 by -5.\nAnswer: 4139\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -127 (b) 11 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 16*c**2 + 13*c + 27. Determine i(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5737 - -5736.93. What is the smallest value in -3\/4, 0.5, 5\/4, z, -0.006?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/30*(-68)\/(-8) + 1\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2540 + 530*d**3 + 2648*d**2 + 3875 + 2489 + 34*d**4 + 2*d**5 + 6496*d + 2448 + 18*d**4 = 0. What is d?\nAnswer: -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 440230 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11685515.5 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 203181 (base 9) to base 7\nAnswer: 1011064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2299)*-1 + sqrt(2299) - (sqrt(171) + 1*sqrt(171))\/sqrt(9)) + sqrt(38)\/(sqrt(8)\/sqrt(4)) + sqrt(475)*1.\nAnswer: -3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4075*l**3 - 3*l**2 + 7*l - 254888?\nAnswer: -12225*l**2 - 6*l + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-4\/3))\/k)\/(k\/((k*k**(1\/4)*k)\/k)) assuming k is positive.\nAnswer: k**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and 0.08.\nAnswer: -1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 423238 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 10*x**3\/3 - x**2\/2 - 25*x. Let u be i(1). Calculate the highest common factor of u and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = -3*b. What is the third derivative of -117 - 9*u**2 + 117 + 18*u**b wrt u?\nAnswer: 432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 11*m - 272 = 0. Let v = m + 29. Let j(y) = y**3 + 6*y**2 + 5*y - 7. Calculate j(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ruu when three letters picked without replacement from {u: 8, r: 2}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**5\/5 + 129959*w**4\/5 - 4222400397*w**3\/5 + 844402105*w**2 + 8444540882*w\/5 = 0.\nAnswer: -1, 0, 2, 64979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Suppose 0 = 3*h + 15, 0 = -0*y - 2*y - s*h - 305. Let l = y + 224. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 11*r + 11. Let q be g(12). Let y(l) = 13*l**3 - 2*l**2 + 1. Let b be y(q). Let n = -8 - b. Solve -2*k = -n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 612?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -34, -67, -132, -241, -406, -639?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 145907 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1.4. Let m be 4\/25*(-30)\/(-12). Suppose 0*p = 4*q + 2*p - 6, 4*p = 2*q + 22. What is the smallest value in m, t, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2 - 4125*d - 28803. Give g(-7).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425*v = -8*v + 18751 - 1431. Suppose -5*f + 164 + 71 = 0. Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (10 + -78)*4\/(448\/(-5)) and 49\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82366 to the power of 1\/2, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*z - 1580 - 1003, -z - 853 = -3*h. Let x = 4303\/5 + z. Factor 4\/5*o**3 - 16\/5*o**2 + 4*o - x.\nAnswer: 4*(o - 2)*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749628493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -0.6562, -38.21 in descending order.\nAnswer: 0.05, -0.6562, -38.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8793.0032258 + -8793. What is o rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15372\/1220 - 13\/1)*(-141 + (-5)\/(-5)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 30106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1052 + 46. Suppose -d - 2*c - y - 944 = 0, 2*d + c = -4096. Round d to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 - 66. Let c(l) = -12*l - 15. Let q(t) = -3*t - 4. Let y(a) = o*q(a) - 4*c(a). Let b(n) be the second derivative of -n**3\/6 + n. What is b(y(s))?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-268)\/(-670) + (-12896)\/15. Let r = 5801079 - 139205407\/24. Let w = r + f. Find the common denominator of 34 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 10*q**2 + 11*q + 22. Let t be w(-9). Suppose 2*u - 3*u = t*v - 125, 169 = 5*v - 3*u. Calculate the remainder when v is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.93 - 64.93. Which is smaller: -0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 - 159 - 164 - 2*r**2 + 557 - 85.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 - 89. Suppose -7*j + 33 - l = 0. Suppose -144 = -j*m - 10*m. Solve a - 1 + m = 2*n, 4*a + 26 = 2*n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6941 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.39083029 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 43\/4 of a day?\nAnswer: 15480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49185 times 3?\nAnswer: 147555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -54, -115, -178, -243, -310, -379?\n\"Answer: -b**2 - 58*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231320485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/56 and 47\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3668)\/8 + 2)\/(2\/(-4)) 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 159205001?\nAnswer: 8467, 18803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10377*n**3 - 11878 wrt n?\nAnswer: -31131*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 21. Let u = -6 - r. Let l be ((-24)\/32)\/((-1)\/u). Solve -28 = 5*w - l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:12 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*h = -137*h - 9001 + 6106 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(-5*(sqrt(147) + -2) - (sqrt(147) + 2*sqrt(147) + 1))*-5)**2.\nAnswer: -14515200*sqrt(3) + 136641600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 719 - -329. Calculate the highest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 558*a - 336. Is y(14) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27265240 and 1080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 1. Let h(j) be the first derivative of j**2 - 2*j + 1. Let u be -2 - (3 - (-2 - -5)). Let f be h(u). Let t(g) = -4*g - 8. Give f*p(a) - t(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**5\/24 - y**3 - 7. Let i(t) be the third derivative of p(t). Let m(w) = -9*w**2. Calculate m(i(f)).\nAnswer: -225*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12971285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.5. Let v be (-2)\/4*(0 - -1). Which is the closest to -1? (a) -4 (b) v (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 723*u**2. Let y(o) = 2035*o**2 - 9. Calculate y(k(n)).\nAnswer: 1063753515*n**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210, -1513, -4976, -11673, -22678?\nAnswer: -39065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 1, t: 1, f: 5, b: 2}. Give prob of sequence tfq.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-196)\/693)\/7 + (-2)\/(-9). Let f = -2580.22 - -2580. Which is the second smallest value? (a) -0.05 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - k - 1. Let v(l) = 393*l**2 + 4*l + 4. What is v(s) + 4*x(s)?\nAnswer: 397*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007431396 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165 - 64. Let d = c + -65. What is the greatest common factor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 32991?\nAnswer: 263928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.2 times -4.5?\nAnswer: -1076.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -63? (a) 14\/19 (b) -2 (c) 1\/19 (d) 0.5 (e) -0.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 105 = -39. What are the prime factors of 7\/((-728)\/3040 + 3\/s)?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 638 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 60817080 divided by 8?\nAnswer: 7602135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 350373145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-442 + l**2 - 3668 - 4336 + 3007)*(4*l**2 + 0*l**2 - 2*l**2 - 2*l) as w*l**3 + m*l**4 + u + g*l + x*l**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2192 - 2180. Solve 4*i + 0*i - 3 = -l*d, -5*d = i - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 96031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqyw when four letters picked without replacement from {w: 13, y: 3, q: 1}?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 + ((-14 - -12) + 12 + -26 - -14).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*z + 44*z + 45*z - 21*z**2 + 45*z.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = m + 116 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x - 8. Let u(i) = -i + 3. Let m(w) = 3*t(w) + 8*u(w). Let n(q) = -15*q. Give m(n(h)).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 105*y**2 - 2*y - 1. Let k be v(-1). Let s = k + -76. Solve 2*o - 5*z + 3 = -12, -o = 5*z - s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2 - 6*a + 6. Let v(o) = 6*o**2 + 11*o - 11. Let h be (48\/(-20))\/((-3)\/((-30)\/(-4))). What is h*v(u) + 11*p(u)?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*r = 149*r - 59280. What is the highest common factor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 188, 592, 1376, 2666, 4588?\nAnswer: 7268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1079, 1224, 1465, 1802, 2235, 2764, 3389?\nAnswer: 4110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1704.0012872 - -1704. What is f rounded to five dps?\nAnswer: -0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -5*g - 12, 5*h + 57 + 0 = g for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/805 and -38\/1155.\nAnswer: 26565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 - 15390*a**4 + 15374*a**4 + 4*a**3 - 1 - 2 + 0*a**2 + a in the form n*a**4 + v*a**3 + l*a + k + h*a**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 66\/8 - 2\/8. Let r(x) = x**3 - 7*x**2 - x - 6. What are the prime factors of r(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.086 + -22.786. Is 2\/7 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 - 26*l**2 + 14*l**2 + 7*l**2. Let c(d) = 377*d - 104. Let k(w) = 18*w - 5. Let i(v) = 5*c(v) - 104*k(v). What is i(m(z))?\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, e: 7, n: 1, o: 1}. Give prob of sequence hno.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000706559 to the power of 1\/2, to the nearest integer?\nAnswer: 31634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 284*q**4 + 2*q**3 - q**3 + 2942*q**2 - 1469*q**2 - 1473*q**2 as p*q + w + t*q**4 + x*q**3 + l*q**2 and give t.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1800014 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2002333 (base 4) to base 2\nAnswer: -10000010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 i when three letters picked without replacement from xxzhoihzzhzi?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/4 (b) 1\/4 (c) -1 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 106, -128, -8, 4, -1, -2 in descending order.\nAnswer: 106, 4, -1, -2, -4, -8, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*m = 159*m - 2*r - 24, -r = -2*m + 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 60\/8 + (-4)\/36 and 2\/(-3) + 734\/84.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -9*l**2. Let b be ((-15)\/(-315)*-7)\/(4 + -5). Let h(d) be the second derivative of 0 + 0*d**2 - 5*d - b*d**3. Give n(h(k)).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4150410 and 2640.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**4\/2 - r**3\/3 - 4*r. Calculate j(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -31.95. Let v = 8 - 7.1. Let t = b + v. Put -5, t, -0.5 in increasing order.\nAnswer: -5, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 9*s**2 - s + 13. Let a(o) = -o + 17. Let v be a(8). Let f be x(v). Solve -4*y = -4*t + 4, 3*t + 0*t = -f*y + 17 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 9. Suppose 4*x + 97 - 415 = -2*s, o*x - 303 = 3*s. Let z = x + -23. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8760582 divided by -3?\nAnswer: -2920194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 28590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 18203\/(-5 - -11 - 5). Let q = 31112 + d. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkon when four letters picked without replacement from {k: 5, n: 3, o: 1, d: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by -7\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + (-1 + (-3 - -9) - (-875 - -897))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/9)\/(14\/(-105)). Put -3, 5, z in decreasing order.\nAnswer: 5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8*h**2 + 9*h + 1. Let w(f) = -17*f**2 + 19*f + 2. Give -9*o(t) + 4*w(t).\nAnswer: 4*t**2 - 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116179, -116181, -116193, -116215, -116247?\nAnswer: -116289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 129*v - 29246. What is y(-109)?\nAnswer: -3304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323a03 (base 12) to base 5.\nAnswer: -200411340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -17 + -1 - -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29299 and 169237.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -35*u**2 + 4*u. Let a(c) be the first derivative of 23*c**3 - 7*c**2\/2 + 1925. Give 4*a(n) + 7*g(n).\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(77)\/(sqrt(22)\/sqrt(2))*6 + 3 + (sqrt(63)*3)**2).\nAnswer: -1710 - 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*t + 12, 5*t = 5*n + 3*t - 6. Suppose 4*x - n*w = 686, -x + w - 176 = -2*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydd when three letters picked without replacement from {d: 2, y: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -955, -1927, -2899, -3871, -4843?\nAnswer: -5815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3929288 divided by 982322.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2981255.841214 - -2979972.84. Let f = m - -1283. What is f rounded to five dps?\nAnswer: -0.00121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -75*p - 2813. Give y(-33).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -121*b**2 + 2*b. Let w(z) = 2*z - 18. Determine u(w(d)).\nAnswer: -484*d**2 + 8716*d - 39240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 7*o**2 - 7*o - 6. Let r = 67 + -67. Suppose 5*x + 3*p + 24 = r, 6*x + 18 = 2*x - 3*p. Calculate y(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*i**2 + 25*i**2 - 89*i**2 - 8*i**2.\nAnswer: -100*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5448954 and 42?\nAnswer: 5448954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2.3 (b) 221 (c) -2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 5*u**2 + 3*u**2 + u)*(2 - 2 + u**2).\nAnswer: -3*u**4 + u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 397260 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24100 by -20.\nAnswer: -1205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*t + 0 = -36, -5*m = -2*t - 60. Solve m = 8*o - 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.33*291832\nAnswer: -96304.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4703.946 + -4700. Let k = -0.054 - d. Let h = -49 + 101\/2. What is the smallest value in k, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - q = 93, a - 26 + 2 = -2*q. Solve a = 5*x, -2*x + 9*x - 45 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*g = 395*g + 686 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*u**2\/6 + 2918264*u\/3 + 277930.\nAnswer: -(u - 833790)*(7*u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14514, 116250, 392416, 930234, 1816926, 3139714, 4985820, 7442466?\n\"Answer: 14537*h**3 - 7*h**2 - 2*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 199050 and 95544.\nAnswer: 2388600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1274591, 5098349, 11471279, 20393381?\n\"Answer: 1274586*k**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 92687 = -91*z + 17201. What is the greatest common factor of z and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(12\/180)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1272, -1947, -2612, -3267, -3912, -4547, -5172?\nAnswer: -5787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.3, 2, 4 in descending order.\nAnswer: 4, 3.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36 - -37)*(26369*4 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 601781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5*l - 1685, -93 = -2*i + l + 580. What is the least common multiple of i and 1120?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 8 (b) 0.143643 (c) 0 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1194653 and -1194652 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*g = 73*g + 56 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 8*n - 14. Let m be w(-5). What is the tens digit of (-186)\/(-5) - (m - (-4)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4056 and 18096.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36.29 + -0.71. Let w = -1949 + 1913.03. Let v = h - w. What is v rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1718 + 212\nAnswer: -1506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -98513 (base 11) to base 7\nAnswer: -1134005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481 is divided by ((-1798)\/13)\/(-2) + (-46)\/299.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 + 104*y**3 + 103*y**2.\nAnswer: y**2*(y + 1)*(y + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.88592344 to 3 decimal places.\nAnswer: -15.886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 7:00 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q. Let n = -741\/7 + 107. Let 90\/7*z**3 + n*z - 14*z**5 - 8*z**2 + 8*z**4 + q = 0. What is z?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0 - 4 = 0, -3*p = -2*g - 32. Let r = 13 - p. Let i be (-9 - 1)*(-2 - r\/(-1)). Solve s + 4*s + 2*d + 11 = 0, -5*d = -i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1947 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:50 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -19840, -0.031?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8540 (b) 7\/3 (c) -552\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1582101 and 1495.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*n**6 + 8*n**4 - 429*n**3 + 2*n**2 + 2*n + 124318.\nAnswer: 3360*n**3 + 192*n - 2574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 794215 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = o + 4*w, 6 = 5*o - 3*w - 7. Let j(b) be the third derivative of 0*b**4 + 0*b**3 + 0 - 2*b**o + 1\/90*b**5 + 0*b. Factor j(r).\nAnswer: 2*r**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 11*o**3 - 20*o**2 + 15*o - 14. Suppose -7*h = -46 - 10. Let v(z) = -4*z**3 + 7*z**2 - 5*z + 5. Let y(x) = h*v(x) + 3*r(x). Let y(f) = 0. Calculate f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let m be p(5). Suppose -n - 25 = -2*o, o + 4*n + 56 = m*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 2. Suppose 3*h = -4*x + 29, -4*x = -3*x + 5*h - 3. Let s be i(x). Solve -s = -2*u - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49909 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + sqrt(98))**2*3 + 4 + (-4 + 5*sqrt(98))**2 + 3)*2.\nAnswer: -728*sqrt(2) + 5560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 4*o - 21*o**2 + 22*o**2)*(-26*o**2 + 9*o**2 - 60*o**2).\nAnswer: -77*o**4 - 154*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24768*a**3 + 22738*a**2 wrt a?\nAnswer: -148608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5054.000007302 + 5054. What is u rounded to 7 decimal places?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4248, -33985, -114700, -271881, -531016, -917593, -1457100, -2175025?\n\"Answer: -4248*o**3 - o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j - j**2 + 0 - 5 + 14*j. Let z be c(4). Let v be 11\/4 - -3*(-4)\/(-48). Solve -6*x + 18 = -3*x - v*h, 0 = -2*x - z*h + 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1146, 6984\/25, 0 in increasing order.\nAnswer: 0, 6984\/25, 1146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/4))**(-1\/8)\/(w\/w**9*w\/(w\/(w*w\/w**8*w*w))))**(-47) assuming w is positive.\nAnswer: w**(-18001\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (1 + 2)) + (24 - 28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -52*n + 574. Let g be m(11). Solve 0 = 4*r - 12, 4*d - g*d + r - 3 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 + -21.5\nAnswer: -73.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 3 + 2*i**4 - 2*i**3 + 0*i - 3*i + 0*i as a*i**2 + w*i + y*i**3 + h + b*i**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3 + 279*m**2 + 3*m - 279 = 0.\nAnswer: -1, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11654800?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1203564, -2407125, -3610686, -4814247?\nAnswer: -6017808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-2\/13)*g**(2\/25) assuming g is positive.\nAnswer: g**(401\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 7*o**2 + 4*o - 6. Let c be q(-6). Is c greater than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*i - 2 = 0, i + 17 = 5*y - 8. Let g(m) = -7 + 5*m + 5 - 10*m + m**2. What are the prime factors of g(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68031.\nAnswer: 3, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b - 30*b + 10 - 23 = -2*x, 5*x = 25 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -232.357606983 + -9.942351547. Let u = r - -242.3. What is u rounded to 6 decimal places?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -17. Let s(f) = -f**2 + 9*f + 6. Calculate the remainder when s(u) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + 3 - (7 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Let z = g + -0.0025. What is z rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 8:22 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from sarsssysy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-609)\/(-232)*-2*8\/(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 486*q**3 + 218*q**2 - 36*q + 3268.\nAnswer: 2916*q + 436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1456 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23, -5, 17, 43?\n\"Answer: 2*q**2 + 12*q - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.09647 - -80.90353. What is the fourth biggest value in -0.32, -2\/9, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -z + 3. Let t(p) = -2*p - 62. Let n be t(-8). Let l = n + 50. Solve -z*j - 9 = j + l*v, 4*j = -v - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - k + 341, -8*f + 356 = -7*f + 4*k. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -18*j - 236. Calculate b(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/12*(12 - 4 - 2). Let o be ((-15)\/a)\/((-10)\/(-16)). Let i = 0 - -1. What is the highest common divisor of o and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 35*g**2. Let s(j) = -42*j**2. Calculate q(s(h)).\nAnswer: 61740*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 144, 132, 106, 60?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 1, d: 1}. What is prob of picking 1 j and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 7, -0.677, 0.3, -1\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*n + 19*n + 6 + 42*n - 140*n to b*n + j and give b.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, k: 2, q: 1, o: 2, b: 1, m: 1}. Give prob of picking 1 b and 2 k.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 56.1 (c) 9 (d) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10481*w - 10335*w = 438 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 - 548\/(-16). Suppose -2*d + 4*h - 6 = -24, y = 5*d + h. Suppose -240 = 5*f - d*f. Calculate the highest common factor of f and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 3)*(-1 + 0 + 2) + 3 - 1 - 1 - 3 + 3 - 2)*(-58*a**5 + 44*a**5 - 100*a**5).\nAnswer: -114*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = -5*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25956651*g**4 + 3*g**3 - 178*g**2 + 1852496*g?\nAnswer: -622959624*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6209 + 20726. What is the highest common factor of o and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-3 - -6) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48260)\/(-508) - (2\/(-2) + 12)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*l = 0, l - 51 = h - 5*h. Suppose -h = 3*p, 0 = 3*j - 5*p + 7*p - 523. List the prime factors of j.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-9))\/((-1)\/(-3)). Solve -t*q - 3 = 4*g, 2*q + 9 = g - 0*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -76591\nAnswer: 3\/76591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from piiippipiiipjj. Give prob of picking 1 i and 1 p.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 3. Calculate p(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 6) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4821 - 9620 + 4799 + 42*q**3 - 193*q**3.\nAnswer: -151*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-8)\/18*(-27)\/(-6). Let j be 4\/p - 18676\/(-69). Suppose -2*s = 3*l - j, 10*l - 5*l + s = 450. Is l a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 5:45 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -499 greater than or equal to -498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/6072 and -86\/1155?\nAnswer: 212520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -154 (base 16) to base 6\nAnswer: -1324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*x + 381 - 2*x - 400 - 473*x**3 - 13*x**2 + 14*x**2 wrt x?\nAnswer: -2838*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12474\/(-264))\/(-21)*2*(-20)\/6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**(-1\/5)*o*o*o**(2\/3)\/o*(o**(-1))**(-22)*((o*o**(-2\/15))\/o*o\/o**(-1))**(-16) assuming o is positive.\nAnswer: o**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -41. Suppose -w*c - 26 + 95 = 0. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152968 - b + 150150 - 303118.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12.5 and -74.423534.\nAnswer: -86.923534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.153398862 to two dps.\nAnswer: -9.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21544208 by -20656.\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 591 + -301. Let f = x + -289.99999635. Round f to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -q - 3. Let s = -1 - q. Calculate the remainder when ((-8)\/(-6))\/(10\/15) is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 7*n**6\/10 + 3*n**5\/20 + 21*n**4\/2 - 1280*n. What is the third derivative of z(m) wrt m?\nAnswer: 504*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-12)*(-132)\/(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 25, 5, 1 in descending order.\nAnswer: 25, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*(0 + -1))\/1 - -670 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 12. Let t be 84\/8*(-96)\/(-28). Suppose 3*k + 25 = -2*s, -5*s + 14 = 3*k + t. Let h be x(k). What is the greatest common divisor of 4 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/(-2)*(-106)\/477 - 2*(-1)\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:59 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246 and 656.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.14, -9, -8, 1\/3, 4\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = 22. Let o be (-40)\/g*(-16)\/5 - 4. What is the closest to 0 in 3, o, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*1*-1 - 6*(sqrt(252) + 2))**2 + (sqrt(252)*-2 + 2 - (1*sqrt(252) + 2))**2.\nAnswer: 1008*sqrt(7) + 14760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -317 and -1125.\nAnswer: -1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2793*p**2 + 3*p + 33. Let l(f) = 19550*f**2 + 22*f + 242. Calculate 6*l(n) - 44*t(n).\nAnswer: -5592*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -269952175*r**5 - 6658737*r - 3.\nAnswer: -5399043500*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 5 + -17 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/19 (b) -24 (c) -5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 3574480576 + -3 + 4. Let z be 2\/6*-2 - k\/(-165). Suppose z = 2*s + 2463518. Round s to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3925826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/93027 + 93017\/465135. Factor p**2 - 6\/5*p - h*p**4 + 0 + 2\/5*p**3.\nAnswer: -p*(p - 3)*(p - 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2))**(-2\/3)\/(a**(-1\/6))**34)**(-3\/10) assuming a is positive.\nAnswer: a**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 9. Let i = 2 - 5. Put 0, i, d in descending order.\nAnswer: 0, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 19*a - 23*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 360 - -1361\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/(a**(-3\/13)\/a))*a)\/((a*a**24)\/a) assuming a is positive.\nAnswer: a**(-328\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -139 - 690?\nAnswer: -7c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03389454 to four decimal places.\nAnswer: 0.0339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g*(g*g\/(g\/(g**(3\/2)\/g)*g*g*g))\/g*g)\/(((g**(-1\/4)*g*g)\/g)\/g)**(4\/3) assuming g is positive.\nAnswer: g**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4986, 0, 3, -1\/5, -1, -6, -2\/9 in increasing order.\nAnswer: -6, -1, -2\/9, -1\/5, 0, 3, 4986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -621, -1399, -2489?\nAnswer: -3891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzb when three letters picked without replacement from zbbzbnnnzzzzz.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296992?\nAnswer: 2, 40531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/545 and -17\/3270.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 2759592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-24) - (-7)\/8. Which is smaller: k or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -882 * 363\nAnswer: -320166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1346372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 1862383\nAnswer: 8\/1862383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1965 and 44509215?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**4 + 248*c**3 + 844320*c**2 - 165832704*c - 676823040 = 0.\nAnswer: -510, -4, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + o - 13 = 0, -4*o - 1 = 4*k + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -688566?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 50 - 40 - 34497*h + 5556*h.\nAnswer: -28941*h - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**5*d*d*(d\/d**(-5))\/d*d)**(4\/7) assuming d is positive.\nAnswer: d**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 2 + -9 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((1 - -1)\/(-2))\/(2\/(-8)). Differentiate -2 - n*x**3 - x**3 - 7*x**3 wrt x.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**3 - 6*h**2 - 11*h - 7. Let f be r(-3). Suppose 0 = f*c - 79*c - 25. Suppose 3*z + 9 = -q, 2*z = -3*z - c. Solve -d = d + q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 89*x**2. Let v(t) be the second derivative of t**6\/720 - 77*t**4\/6 + t**3\/6 - 23*t - 5. Let k(m) be the third derivative of v(m). Determine z(k(g)).\nAnswer: 89*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 + 54*v - 15. Let m be d(16). What is the greatest common divisor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -2. Suppose 0 = u + 3*m - n, 4*m + 9 = -5*u - 0*m. What is the common denominator of 91\/10 and 55\/(-66)*(-107)\/u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1409?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((2\/16*-12)\/((-18)\/12)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*c + 15. Let a = 76 - 74.2. Let f = -4.8 + a. Sort -3\/2, c, f in increasing order.\nAnswer: f, -3\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {v: 1, f: 5, g: 8, z: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -35. Let o(k) = 2*k**2 + k - 5. Let g(v) be the third derivative of v**5\/15 + v**4\/24 - 3*v**3\/2 + 3*v**2. Let p(h) = -3*g(h) + 5*o(h). Give p(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/4*4\/3. Suppose -p*v + 7*v = 90. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(4\/(-10)))\/(6708\/120 + 54\/(-60)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.14 (b) 131 (c) 1181 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 16*w - 18. Let h be b(5). What is the second derivative of -h*q + 78*q + 138*q**4 - 140*q wrt q?\nAnswer: 1656*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 814795?\nAnswer: 5, 89, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) 0 (b) 1\/4 (c) -3 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*x + 14. Suppose -x*j + 9*j = -20. Factor 0*v**4 + 3*v**5 - 3*v**4 + 5*v**j.\nAnswer: v**4*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -737, -3151, -7169, -12785, -19993, -28787, -39161, -51109?\nAnswer: -64625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**3 - 123*i**2 + 63*i + 956. Determine j(30).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 212 = 3*o, g + 50 = -5*o + 440. Suppose -2*j = -5*v - o, 0*j - 4*v = j - 7. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -152, -160, -168, -176?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 1. Let n be k(-4). Suppose 23 = 34*p - 11. Let w = 4 + -2. Sort n, p, w.\nAnswer: p, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -15, 42.\nAnswer: -18, -15, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 17*n**2 + 13*n + 1. Suppose 0*b + 14*b = -168. Is l(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*k = -16, 4*x - 5*k + 0*k - 41 = 0. Let h be 48 - 1*(1 + 0). Suppose -3*p + 26 = p + 2*m, 5*m + h = x*p. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 73, 307, 673, 1147, 1705?\n\"Answer: -4*f**3 + 90*f**2 - 8*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -84.097\nAnswer: 6.72776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47887770 and 8313?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315398 + h**2 + 315398 + h**2 + 2*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*v**3 - 29*v**3 + 122389473*v**2 - 122389475*v**2.\nAnswer: -97*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 578*c**5 + 399*c**2 wrt c.\nAnswer: 34680*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 - 0.16?\nAnswer: 415.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3505?\nAnswer: 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 38548*t + 77112.\nAnswer: -4*(t - 2)*(t + 9639)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 391317880 rounded to the nearest one hundred thousand?\nAnswer: 391300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -490, -985, -1480, -1975, -2470?\nAnswer: -2965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b - 15. Let o be w(3). Suppose o = 6*i - 1277 - 313. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d. Let s(m) = 3*m - 2*m - m + 5*m. Give s(n(r)).\nAnswer: 40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, t: 5, v: 3}. Give prob of picking 1 j and 2 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -130362 (base 7) in base 15?\nAnswer: -7286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2951880.\nAnswer: 2, 3, 5, 17, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 21*a**2 - 3*a - 47. What are the prime factors of x(22)?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -0.15047393419179?\nAnswer: 2.15047393419179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -60. Let v = n + -23. Let r be 2 - (-173*1289 - v). Round r to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 + 6*a + 222. Suppose l - 35 = -z, 0*l - 2*z = -l + 50. What is the remainder when l is divided by g(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1008 = -4*z - 4*a, -5*z - 8*a = -9*a - 1260. What are the prime factors of ((-394)\/(-7))\/(18\/z)?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-120)*-8)\/(4\/9)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 + 40\/352*-2?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125741, -124535, -123317, -122081, -120821, -119531, -118205?\nAnswer: -116837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(445*k**2 - 445*k**2 + 597*k**5).\nAnswer: 1791*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2466 - 2398. Solve 70*q - 4 = t*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 + 16)\/(3\/193). Let j = 390 - f. Solve 0 = -r + 3*i - 0 + 10, 5*r + j*i = 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, -16, 53, -2, 5 in increasing order.\nAnswer: -16, -2, 0, 5, 11, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53086*i**2 + 53079*i**2 - 106045*i**2.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5283 is divided by 443?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 506890 and 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1591*l - 5478*l - 83*l - 5285*l.\nAnswer: -12437*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (26\/(-1))\/(-5*(-9)\/(-1710))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/22 + -6 + 4 + 4. Let r be ((-1)\/(-2))\/(2\/(-20)). Let x = 4.9 + 0.1. Sort l, r, x in decreasing order.\nAnswer: x, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 5*f)*(-14 + 2 - 6) - 4*f + 2*f + 5*f + 1 + 2*f + 5*f - 4*f + (-2 + 2 + f)*(0 - 2 + 3) as j*f + g and give j.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3290 = -95*y + 90*y. List the prime factors of y.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114 - -79. Let v = 2 - m. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b**2 + 57 - 57 - 2*b - b**3 + 6*b. Let l be j(4). What is the highest common factor of l and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 1027246*i + 1027246*i + 21163*i**2 - 3 in the form z + a*i**2 + j*i and give a.\nAnswer: 21163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t + 5. Let s be n(7). Suppose 12*c - 28 = s*c. Is (-42)\/c*(7 + 65\/15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/4)\/(2\/(-8)). Suppose 0*l - 6 = -v*l. Calculate the remainder when 5 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m + 3. Let g be f(1). Let u be (5 - 2) + 168*g\/6. Calculate the common denominator of u\/(-30) + 18\/45 and 63\/25.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -894 (base 11) to base 5\nAnswer: -13241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158 - -245. Let l = 82 - h. Suppose 5 = 3*t + 14. Sort t, 5, l, -4 in increasing order.\nAnswer: l, -4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/13 in -4\/7, 0.8, -1, -5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**4 - 5*r**3 - 3*r**2 + 40*r - 3. Let f(m) = 2*m**3 - m + 1. Let h(j) = 3*f(j) + w(j). What is the third derivative of h(l) wrt l?\nAnswer: -96*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -624*t - 25. Is c(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 7. Suppose 3*g + i = -8, -5*u = -3*g - 175. Suppose 51 = 3*j - 5*p - 37, j - u = 3*p. Calculate the remainder when j is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/25 and -17\/210915.\nAnswer: 1054575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -497.13 or 1285?\nAnswer: 1285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/4)*g*g*g**4*g*(g\/g**(-2\/7))\/(g\/g**7))\/(((g*g\/(g**(2\/5)*g))\/g)\/g*g**11\/g)**29 assuming g is positive.\nAnswer: g**(-32811\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77088 and 9198?\nAnswer: 1618848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(a - a + 2*a)*(16 - 42 - 31).\nAnswer: -114*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 6:24 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 97, -47, -613, -1823, -3899, -7063, -11537, -17543?\n\"Answer: -37*l**3 + 11*l**2 + 82*l + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2150 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9269*j - 22889 - 9264*j + 11444 + 11438. Let c(k) be the first derivative of k**3 - 1. Calculate c(n(h)).\nAnswer: 75*h**2 - 210*h + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 - -0.15. Which is the biggest value? (a) z (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.4, 13 in decreasing order.\nAnswer: 13, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcccpzclcullucl. What is prob of picking 1 u, 1 z, and 2 p?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 + 23*p**2 - 108*p - 20. Calculate u(5).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*f**4*r - 1017*f**2 + 17260*r wrt f.\nAnswer: 32*f**3*r - 2034*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c + 2. Let r be w(2). Let l = r + -18. Solve 25 = -5*m, -2*d + l*m = -5 + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t. Let q(i) = 70274719*i. What is q(m(w))?\nAnswer: -351373595*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/4)\/a*a*a*a**11*((a\/(((a\/a**6)\/a)\/a))\/a)\/(a\/a**5))**(-1\/33) assuming a is positive.\nAnswer: a**(-95\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 30.75.\nAnswer: 15.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - r + r**2 - 3*r + 6. Let u be t(6). What is the units digit of (-2)\/u - (-26)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2044760 and 280364.\nAnswer: 271953080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20071, 40141, 60211, 80281, 100351?\n\"Answer: 20070*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, r: 1}. What is prob of picking 2 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + k + 1. Let d(b) = -627*b**2 + 3*b. Determine 2*c(i) - d(i).\nAnswer: 631*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1970682214 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(1 + 1) - -3. Suppose 4*s + 2*g = -3*g - 17, 2*g = s - 12. Let x(d) = -3*d**s + 2*d**2 + 3*d**b. Let h(n) = -5*n. What is h(x(k))?\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1104 * -2.35\nAnswer: 2594.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-21))\/((-4)\/(-38)). Let f = g - 5\/21. Are 1 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**4 - h**4 - h**4)*(5 + 0 - 3) + h**4 - 4*h**4 + 6*h**4 - 4*h**4 + 2*h**4 + 3*h**4 + (3*h - h + 0*h)*(-3*h**3 + 3*h**3 + 2*h**3).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q - 1. Let p(n) = 3*n + 2. Give 5*g(y) + 6*p(y).\nAnswer: -2*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12351?\nAnswer: 3, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9172440 divided by 4.\nAnswer: -2293110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -82339 (base 10) to base 16\nAnswer: -141a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 2*d + 1. Let u(n) = -4*n**2 - 9*n - 5. Let w(g) = -5*t(g) - u(g). Give w(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089436303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*n + 4*n - 13*n - 16*n)*(677*n**2 - 109*n**2 - 237*n**2) in the form t*n**2 + x + l*n + d*n**3 and give d.\nAnswer: -10923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 20 = -2*h, -134*n = -129*n - 30 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 173 - 249. Let l = f - -109.6. What is l rounded to zero decimal places?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 60707.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, l: 6, z: 1, o: 2}. Give prob of picking 1 o, 1 l, and 2 v.\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 333991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m\/m**(-1\/4))\/((m\/(m\/(m*m**(-1\/8)))*m)\/m**(-9)) assuming m is positive.\nAnswer: m**(-85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, y: 12}. What is prob of picking 4 y?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-2)*4*(-14)\/840*-1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -0.5 (c) 8 (d) 1 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 - 10*j**2 + 6 - 6.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -5*v**2 + 0 - 5\/336*v**8 + 0*v + 5\/6*v**3 + 1\/12*v**6 - 1\/6*v**5 - 5\/24*v**4 + 1\/42*v**7. Factor z(m).\nAnswer: -5*(m - 1)**3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j - 295 = 0. Let u = j - 4. Calculate the greatest common factor of 22 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -3. Factor -2\/7 - 2\/7*z**m - 4\/7*z**3 + 6\/7*z**4 - 4\/7*z**2 + 6\/7*z.\nAnswer: -2*(z - 1)**4*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 56 (c) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 6) to base 14\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86854720.\nAnswer: 2, 5, 269, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21778 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-1)\/(-4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -16*(135\/(-2) + (-8)\/2). Suppose v - 10922 = -2*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 32. Let w be t(-10). Calculate the greatest common factor of 374 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*q + 566 = -1679 + 85 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9a0789 + -87?\nAnswer: -9a0865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1588443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**2 - 119. Let i(c) = c**2. Let p(g) = -3*g**2. Let d(u) = 2*i(u) + p(u). What is d(z(b))?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -930, -929, -928, -927, -926?\n\"Answer: u - 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -775, -2, 60, 2 in decreasing order.\nAnswer: 60, 2, -2, -775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 (base 16) in base 3?\nAnswer: 100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*x - 228 = 0, 2*x + 163 = 3*v - 4. What are the prime factors of v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102122102122 - 10?\nAnswer: -102122102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from {q: 1, u: 4, x: 3, h: 1, g: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2684 + (-4 - ((3 - 0) + -4)). Suppose -924 = -3*n + x + 1765, x = -3*n + p. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 31. Suppose -10 = -2*n, 0 = 4*v + 2*n - 15 - 3. Solve -t*q = v*q + 20, -4*q = -4*j + 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -75 + -1427 + 1436?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 + 106. Solve 0 = -y - h*w + 4 - 3, -5*y = 2*w - 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, -4, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a**3 + 9*a**2 - 3*a. Let g(k) = 5*k**3 + 8*k**2 - 3*k. Determine 7*g(r) - 6*j(r).\nAnswer: -r**3 + 2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-15)*v**31 assuming v is positive.\nAnswer: v**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.25. Let g be (-4618)\/(-11545) - (-2)\/(-5). What is the nearest to -0.1 in -5, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 121.95?\nAnswer: -126.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96286 + -96306.0047. Let a = 17 + 3. Let r = t + a. What is r rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 13*c**2 - 3*c - 1. Let b be (-4)\/(-7)*(-28)\/(-8). Suppose 0 = -4*a + b*v + 16, -2*v + 7*v = 4*a - 4. Is z(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257325 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -4\/3, -214.\nAnswer: -214, -4\/3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32678957?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from jmmjoummu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 32 = -2*p, 3*y + 31 + 4 = -2*p. Let w be (-4)\/p - 4\/(-220). Sort -1, w, 0.5 in descending order.\nAnswer: 0.5, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3167996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8452 minus 3696957073?\nAnswer: -3696957073.8452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -229 + 200. Let f = 6.6 - -27.4. Let l = m + f. What is the smallest value in l, 0.1, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 9*b**2 + 4*b - 11. Suppose 2 + 10 = -m. Is k(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + (-261)\/(-54))\/((-7)\/(-2))*-6. What is the closest to 2\/3 in -3, -4, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5*z - 10*z + 3180, 4*l - z - 2544 = 0. Let h = 2449 - l. List the prime factors of h.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 10*v + 3. Calculate s(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 9:07 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 divided by -589.\nAnswer: -87\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 1:56 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.21, -0.4, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k = -14*k + 102 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -3, 158, 4, 110\/13 in increasing order.\nAnswer: -3, -5\/2, 4, 110\/13, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 10*k + 20. Give o(-15).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*r = 2*r - 24, 27 = 3*w + 3*r. Let l = w + -1. Suppose 4*o - 182 = -5*k, 3*o - 2*o - l = 0. What is the remainder when k is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5540? (a) -0.3 (b) -26 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3446985778 to the nearest integer?\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + -1*(sqrt(84)*-2 - sqrt(84)) + sqrt(84) - ((sqrt(84) - (sqrt(84) + (sqrt(84) - sqrt(84)*-2))) + sqrt(84))*3)\/(2*-2*sqrt(972)) + 5.\nAnswer: -11*sqrt(7)\/36 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + (-14 - (18 - 35))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*u + 4*p - 3*p, -5*u = 2*p - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-3) - (-1 - -15). Let w = b - -9. Let j(t) = t**2 + 7*t + 5. What is j(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 534, 598, 660, 720?\n\"Answer: -l**2 + 67*l + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from tkklykluk.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.4 at least -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - h**2 - 40*h + 311*h**3 - 318*h**3 - 2*h**2.\nAnswer: -7*h**3 - 40*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**2 + 2*k + k**3 + k**2 - 3*k**2 + 0*k**3 to f*k**2 + r*k**3 + l + u*k and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -23*g. Let l(d) be the second derivative of 0*d**3 + 0*d**2 - 1\/4*d**4 + 0 + 30*d. Determine b(l(x)).\nAnswer: 69*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21211010221 (base 3) to base 8\nAnswer: 454505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1046105.2 and -32868.\nAnswer: 1013237.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 4106?\nAnswer: 4106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(171) + 0 + sqrt(171) + sqrt(171) + (sqrt(209) - sqrt(209)*-1*2)\/sqrt(11))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/48)\/5*2\/3.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531\/3*4\/6 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6614, -6624, -6634, -6644, -6654?\n\"Answer: -10*o - 6604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - v + 87 = -8*s, -4*v = -3*s - 138. Let f = 12 - s. Find the first derivative of -8 - 69*m**3 + f*m**3 - 8 wrt m.\nAnswer: -45*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.8 + -134.2. Let c = -159.0000294 - g. Round c to 6 decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 10363997?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 230327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*h + 185*h = 5*k + 2, 0 = 3*h - 4*k - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*z + 877, 10*z = 8*z - 3*s + 437. Calculate the least common multiple of 24 and z.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**21\/(n**(1\/2))**(1\/64) assuming n is positive.\nAnswer: n**(5375\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1106 divide 277156923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -30. Solve -p = -4*g + 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*z - 119 = 0, -186 = -5*l + 3*z - 34. Suppose 4 - 30 = -4*c + 3*s, -6 = -3*s. What is the remainder when l is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -2 + 6\/2. Let q(j) = -j**3 - 36*j**2 - 43*j + 73. Let p be q(-35). Let k = p - 348. What is the greatest common factor of k and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v = 24. Let q = 5 - v. Let o be 208\/(-39) - (-1)\/3. Put o, 5, q in ascending order.\nAnswer: o, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3428 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -17. Let b be 15\/60 - (-1)\/d. Suppose b = -2*j + 4*j - 70. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -60, 155, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1029, 4000, 8967, 15942, 24937, 35964, 49035, 64162?\n\"Answer: 2*v**3 + 986*v**2 - v + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - -3021?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -516*m - 2777. Calculate o(-8).\nAnswer: 1351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/7 (b) -37 (c) 4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 2*r**2 - 2*r. Let k(t) = -t**3 + t**2 + t. Suppose a = -2*x + 2 + 6, 5*a = -4*x + 4. Let b = -4 + x. Calculate b*k(f) + v(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -388932.9715 - -389038. Let k = g + -105. Round k to 3 decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.104 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 7 = -25*i. Let k be 4 + 4*(i - 0). Let h(n) = -5*n - 1. Let b(m) = 13*m + 3. Let v(l) = 3*b(l) + 8*h(l). Give v(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4772776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292306428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 18 = -b, 15 = 5*b + 2*s - 6*s for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16020 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: Find the common denominator of -34\/9 and -46\/43792071.\nAnswer: 131376213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9202 times 99?\nAnswer: -586.0998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -11*o - 17*o - 17*o + 46*o. Let j(f) = -6*f + 16. Let i(k) = -k + 3. Let b(n) = 16*i(n) - 3*j(n). What is b(w(c))?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 652\/(-498) - (-236)\/177.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20725745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -1\/2, -0.06, 177?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 7:39 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*o + 6947 + 6049. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r**2 - 6*r**2 - r**2)*(-7*r**2 + 12 - 12) to i*r**2 + q*r**3 + v*r**4 + l*r + a and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1243*b - 1241*b = 6. Suppose 3*s + 1312 = 2*h + 4861, 4*h + 3549 = 3*s. Suppose -q + 7*y - b*y = -381, -2*y - s = -3*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u + 1. Let m(n) = -11*n + 1. Let i(f) = 13*c(f) - 6*m(f). Let d be i(-5). Solve 0 = 3*h + 5*t + 25, -13 = 4*h + d*t - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-1)\/4)*-4. Suppose -5*b - 170 = -5*h, 3*h + h + n*b = 150. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30879 divided by -3.\nAnswer: -10293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*o + 354*o + 235*o - 20262 = 0 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m. Let n be r(2). Let p = 366 - 231. Suppose -143*z = -p*z. Solve d = -2*y + 1, 5*d = -z*y + y - n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 - 2*b**3 - 133*b + 5*b**4 + b**4 - 171 + 135*b - 3*b**4 to f*b**2 + l*b + g*b**4 + r*b**3 + z and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 15, 0*u - 4*y - 32 = -2*u. Let j(k) = 2*k**3 + 7*k**2 - 2. Let d be j(-3). Which is greater: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q**2 + 13610 - 13549 + 5*q**2 - 3*q. Calculate t(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 6*s - 4. Let w(n) = -103 + 0*n + 44 + 2*n + 60. What is -2*o(i) - 7*w(i)?\nAnswer: 2*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05 and 749361?\nAnswer: 749360.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + 2*y**3 - 3*y**3 + (3*y - 2*y + y**2 - 3*y**2)*(-2*y + 6*y - y).\nAnswer: -7*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15836 and 740.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/7, -76\/13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4*(3 + (-801)\/270)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*l - 5*f - 78, -f + 2 = 0. Let m = 17 - l. Let w = -2 - m. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2492 = -5*l, -7*l = -2*w - 4*l + 1224. Suppose u + 4*f = w, 4*u - 17*f - 2404 = -16*f. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsmi when four letters picked without replacement from {m: 1, s: 7, e: 2, r: 1, h: 2, i: 1}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*sqrt(132)*3*5)\/((-3*sqrt(2160) + sqrt(2160))\/sqrt(5)).\nAnswer: -45*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t - 1213 + 1213.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((((v\/(v\/v**(-2\/17)))\/v*v)\/v)\/v)*v**11)**(-1\/50)\/((v**6*v)\/v**(3\/14))**(9\/10) assuming v is positive.\nAnswer: v**(-76273\/11900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = 0, -3*f = -4*u - 507 - 585. Calculate the common denominator of (-6)\/(-2) + (-1430)\/160 and 861\/f - 1\/(-3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1044)\/406*63\/(-27)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o - o**2 - 5*o**2 + 22*o in the form h*o**2 + c + g*o and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 13 - 16 + 2*v**2 as a + x*v + o*v**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*v + 3*g, 0 = 4*v + 4*g - g - 5. Let a(l) = 3*l**3 - l**2 - l + 1. Let h be a(v). Is h smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 429, 795, 1177, 1581, 2013, 2479, 2985, 3537?\nAnswer: 4141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8*s = -20. Let t be 5\/4 - (-3)\/(-12). Let m(f) = -f + 1. Let v(q) = 6*q - 15. Let y(j) = s*m(j) + t*v(j). Calculate y(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 - 3) - (-455 + 441)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2411249, 2411214, 2411155, 2411072, 2410965, 2410834?\n\"Answer: -12*f**2 + f + 2411260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(l - 3*l + 4*l)*(-17 - 1 + 1)*(6 - 9 + 1).\nAnswer: -136*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 771.7134m in millimeters?\nAnswer: 771713.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 12*l - 12. Let z be j(-13). Let n(b) = 25*b**2 - 1. Let y be n(z). Let d(s) = 5*s + 46. What are the prime factors of d(y)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 63. Let d = -41 - i. Let q be 35\/5*((-120)\/d)\/4. Calculate the greatest common factor of 40 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/7 - (-76)\/28. Let z be (-6)\/(-5 + g - 0). Find the third derivative of 4*c**2 + 3*c**2 - 4*c**2 + 0*c**2 + 3*c**z wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/3108 and 71\/13912.\nAnswer: 292152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-41)\/41 - (4 + -1). Let x(y) = -3*y**2 + y - 1. Let j be x(1). Sort n, 3, j in descending order.\nAnswer: 3, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 167?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 4:22 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -5*u - 2*v, -4*u + 5*v + 81 = 7. Let q be 36\/(-42) + (-3)\/u + 2. Solve -4*g + 17 = q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 36 - 26 + 50 + 53*p.\nAnswer: 53*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6348713 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 13*m - 66 = 0. Suppose -k + 84 = m*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 138950795*k**2 + 2*k + 21244220 wrt k.\nAnswer: 277901590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 231?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssuhuhhhzusshzh. Give prob of sequence hhuh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 10*n**2 - 10*n - 4. What are the prime factors of a(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 52*q**2 - 150*q + 3546. What are the prime factors of f(23)?\nAnswer: 2, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10710668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.04 (b) 2\/11 (c) 3\/886\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 1043302?\nAnswer: -1043304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - 6*x)*(37 + 3 + 4 + (-2 + 5 - 2)*(0 - 1 - 2)).\nAnswer: -246*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12665\/8652 + 44\/309. Let s = -20897\/11 - -1896. What is the common denominator of f and s?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/3 (b) 20 (c) 0 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 4\/7, -12478115?\nAnswer: -12478115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144046006 to the nearest integer?\nAnswer: 12002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 443777135 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2418.14074 - -28.79.\nAnswer: -2389.35074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293367.\nAnswer: 3, 97789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -3*q**2\/2 - 1. Let d(w) = -2*w + 3*w + 0*w. Determine p(d(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -10 - (-13 - (9 - 12) - -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3 - 2*p**2 + 0*p**2 + 20*p**3 - 2*p**2 - 7*p + 3*p - 21*p**3. Calculate m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30064440 to the nearest integer?\nAnswer: 5483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/171 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = t + 11. Find the second derivative of -20*l - 135*l - 3 - 14*l**4 - 12*l**4 + t wrt l.\nAnswer: -312*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i - 6*i + i**3 + 2*i**3 - 2*i**3. Let h be x(0). Let q(y) = -y**3 + y**2 - y - 3. Give q(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/4*(-9 + 2). Solve -2*g - 2*g - 17 = -5*n, -3*n = 3*g - x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*j**4 + 42 + j**2 - 42 - 6*j**2 wrt j.\nAnswer: -432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 6*v - v. Suppose -6 = 4*m - v. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 7*f + 3. Calculate s(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.73 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 12*v - 6*v + 81 + 95 - 175.\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from ckkcccckcccccc?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let z = -30 + 32. Let q(n) = -z*n**2 + 22*n - 22*n. Calculate q(o(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -5*g**7\/14 + 39*g**6\/10 + g**3\/2 + 847*g**2\/2 - g + 207. Find the second derivative of j(n) wrt n.\nAnswer: -300*n**3 + 1404*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20142825.\nAnswer: 3, 5, 23, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 6\/(-2))\/3 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36172, 36171, 36170?\nAnswer: 36169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 p when three letters picked without replacement from {p: 4, j: 7}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70421 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**3 - 2*c**2 + 1. Let h be i(-1). Let a(l) be the first derivative of -5\/8*l**h - 2 + 1\/4*l + 1\/3*l**3. What is q in a(q) = 0?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -7*g**3\/3 - 1. Let f(k) be the second derivative of -k**4\/12 - 1577*k. What is b(f(s))?\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4372*x + 28 = -4369*x - a, 0 = x + 6*a + 187 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 54. Suppose -3*x + 5 + 1 = 0, -s*r + 12 = 2*x. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53.4 - -101.4. Let m = -0.847 + -46.253. Let s = m + f. Which is the closest to 2\/7? (a) -4 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (69 - 69 - y)*(3 - 2 - 2) in the form s + a*y and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106\/(-22) + 38\/(-209)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + i - 4. Let p(d) = -4*d**3 + 3*d - 9. Determine 4*p(o) - 12*r(o).\nAnswer: -4*o**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (51\/(-15) + 3)\/(3\/15). Sort 5, a, 1, -3 in ascending order.\nAnswer: -3, a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**4 - 2*k + 2*k + (2*k**3 - 3*k**3 + 2*k**3)*(1 + 2*k - 1) + 1111*k - k**4 + 603*k + 240*k.\nAnswer: -3*k**4 + 1954*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0 + 0 + (0*i - i + 0*i)*(2 + 1 - 4) - 1 + 1 + i)*(-2*i - i**4 + 2*i + (2*i**2 - i**2 - 3*i**2)*(-3*i**2 + i**2 - i**2)).\nAnswer: 15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 15, n: 5}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/((-361)\/19)*(-9)\/6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4846172767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4709 - -7882. Calculate the greatest common divisor of 38 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -1, 5, -29, 25, 0.3, 0.1?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -883537 (base 12) in base 15?\nAnswer: -2cab11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109343 is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*n + 8*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - 45. Which is smaller: l or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**10\/37800 - u**9\/6300 - u**8\/2800 - u**7\/3150 + u**4\/2 - 5*u**2. Let b(y) be the second derivative of n(y). Factor b(z).\nAnswer: -4*z**2*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 26 = -74. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5) - (-48)\/(-30). Calculate the remainder when 12 is divided by 2\/r + (-8)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d. Let y(k) = -k. Let r(q) be the second derivative of -13\/3*q**3 + 35*q + 0 + 0*q**2. Let p(i) = -r(i) + 39*y(i). Calculate p(s(j)).\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 + 16450*x\/3 + 14262800\/3.\nAnswer: 2*(x + 985)*(x + 7240)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxs when three letters picked without replacement from {s: 3, x: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46061?\nAnswer: 46061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p + 5. What is the remainder when 32 is divided by y(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 6*k**2 + 7*k - 4. Let u be q(5). Let f = -5 + u. What is the closest to -3 in f, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 11*x - x - 6*x - 5*x - 3. Calculate the remainder when 10 is divided by s(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-14) + 18\/63 + 3. Solve -5*q + 10 = 5*w, 0*w + v*w - 14 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64 - 38.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 566)*(-16)\/32. Let f(r) = 2*r. Let z be f(2). Suppose -z*c + 291 = -n. Is 40 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6466, -0.14 in ascending order.\nAnswer: -0.14, 5, 6466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 f, and 1 l when three letters picked without replacement from ljfl?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3641144871?\nAnswer: 3, 7, 13, 1905361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-316)\/(-12) + 4\/(-3). Suppose 43 = 6*l + k. Is (0 - 1556\/l)\/((-14)\/21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.412 - 0.382. Let m = 0.03 - h. Let u = 2.0024 + m. What is u rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103460 and 3780.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146467 is divided by 2765.\nAnswer: 2687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -1149381.\nAnswer: -1149380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36, -45, -66, -105, -168, -261, -390, -561?\n\"Answer: -a**3 - 2*a - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5871 from 34.777.\nAnswer: -5836.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5646297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 + 2*a**2 - 1 + 2795*a**3 - 2794*a**3 - 257*a to the form m*a**3 + r*a**2 + b*a + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*152.96403.\nAnswer: -15.296403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3*(12 + -11). Which is smaller: g or -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5557073.\nAnswer: 5557073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1341*h - 22522 - 102537 + 21802 for h.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18881 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1741 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1758 is divided by 196?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2506 + -2510.892. What is v rounded to one dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2\/6 + 1579*f\/3 - 632\/3.\nAnswer: (f + 632)*(5*f - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 6*p + 4. Suppose 0 = -2*y + t - p, -4*y + 5*t - 5 = -2*y. Suppose 4*j - 27 + 7 = y. Calculate the remainder when 13 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1 + 1976\/1729\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5175 - -4838. Is s greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2384.65017 minutes in weeks?\nAnswer: 0.2365724375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 14*g - 30. Let s be t(-16). Suppose -s*p + 14 = -4*u, 3*p - 5*u - 2 = 18. Let f be 2 + (p - 1)*(-1)\/(-2). Solve z = 5*z - f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((-1*sqrt(468) + 5 - (1 + sqrt(468) - sqrt(468))*-1) + 2)**2 + -4) + 1.\nAnswer: -384*sqrt(13) + 2113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/7 of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*k - 2*x - 9, 4*k = 2*x + 62. Let l be -2*1 - (-3)\/3. Let n(t) = 70*t**2. Let f be n(l). What is the highest common divisor of f and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let -12*y**5 + 138*y**4 + 23998*y**3\/3 + 118670*y**2\/3 + 60782*y\/3 - 34340\/3 = 0. What is y?\nAnswer: -101\/6, -5, -1, 1\/3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8744 - -8818. What is the remainder when 2227 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 368 and 58?\nAnswer: 10672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5813 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 30*z - 268. Let y(p) = -p**3 + 10*p**2 - 18*p + 27. Let n be y(8). Calculate the remainder when s(n) is divided by 41.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*u + 40, -2*u - 44 + 14 = -4*h. Calculate the common denominator of -77\/16 and (34\/30)\/((-6)\/h).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 2\/79, 3, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -4*i + 31, i = 395*g - 400*g + 29 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6 - -10 - -1 - 4). Put 17, 0, 5, q in descending order.\nAnswer: 17, 5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, e: 5, w: 1, u: 6}. What is prob of sequence qeee?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.463 and -64.9.\nAnswer: 30.0487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b + 3*b - 2*b)*(-1 + 2 - 3)*(-4 + 2 - 1).\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 163b9 (base 13) to base 2\nAnswer: 1010010110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 5*r + 104.\nAnswer: -(r - 8)*(r + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -14. Let d = -4.1 + 4.2. Which is the closest to d? (a) -2\/11 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/7*(-189)\/54?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/84)\/(((-84)\/294)\/((-8)\/7)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) 16.68 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*c - 4246221 = -4246857 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13305715, -13305747, -13305779, -13305811?\n\"Answer: -32*v - 13305683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/27*114\/(-4). Suppose 2 = 3*c - u. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 6*p**2 + 16*p. Let a be m(-8). Solve 4*u + 4 = -2*j, j + 1 + a = -u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566591 to the power of 1\/2, to the nearest integer?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7*w**(-13))**(1\/10) assuming w is positive.\nAnswer: w**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3772\/3 - 1258. What is the third smallest value in 0.2, x, 14\/19, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29\/5 - 2141\/370. Which is the third smallest value? (a) -0.5 (b) -0.4 (c) u (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 351 (base 9) to base 5\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 226, 213, 206, 211, 234, 281?\n\"Answer: w**3 - 3*w**2 - 11*w + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 16*q + 5602. Is m(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075762.\nAnswer: 2, 31, 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**6\/120 - s**5\/12 + s**4\/8 + 2*s**3\/3 + 3*s**2. Let h be z(4). Let v be h\/(3\/(6\/4)). Is v greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14743668 * -1\nAnswer: -14743668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 11*d - 110. What is n(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. What is the smallest common multiple of 82\/5 + 34\/(-85) and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -2*g**5\/45 + 7*g**4\/6 - 80*g**3\/9 + 100*g**2\/9 - 157. Factor b(h).\nAnswer: -2*h*(h - 10)**2*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5191141 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115144.308ns to days.\nAnswer: 0.00000000133268875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/443147 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 take away 22857621.5?\nAnswer: -22857624.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650*r**2 + 1 + 22 - 21 - 349*r**2 - 372*r**2.\nAnswer: -71*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*r - 888 = -2*g, 0 = 4*g + 2*r - 906. What is the tens digit of g\/6*2\/(-1 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 168 + -111. Let v = -101235 - -101330. Calculate the greatest common factor of v and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-18)\/4)\/(-9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 8:33 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 1. Let r(l) = -5*l - 2. Give 4*i(p) + r(p).\nAnswer: -9*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24359*k**2*r**3 - k**2*r**2 - 1707*k**2 + 35 wrt r?\nAnswer: 73077*k**2*r**2 - 2*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -64120 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2, -94, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 132*j**2 - 941*j + 293949 with respect to j.\nAnswer: 264*j - 941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m + 12. Calculate y(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**7\/840 + m**6\/90 + m**5\/120 + m**4\/12 - 13*m**3\/6 - 4*m. Let i(b) be the second derivative of t(b). Calculate i(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1. Let w be (-66)\/2 - (2 - u). Let x be (-3)\/9*(w + 1). What is the highest common divisor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*l + 1 + (0 + 3 - 4 + (3 - 1 - 4)*(0 + 0 + 2))*(0 - 7*l + 0)*(1 - 4 - 30).\nAnswer: -1152*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2007, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - -16. Suppose -3*y - z + 82 + 50 = 0, 2*y - p = -5*z. Let v be ((-4)\/(-6))\/(10\/y). Solve -q - v*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + m**2 + 7*m + 1. What is l(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 284855085 + 284855085.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 r when four letters picked without replacement from {x: 8, r: 5}?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 + 100*g\/3 + 1008.\nAnswer: 2*(g + 42)*(g + 108)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 1 = 5*a, -6*g + a - 50 = -113 + 22 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.0608 (b) -0.5 (c) -5 (d) -0.4 (e) 278 (f) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 8:12 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**2 - 2081810040*u - 216696652132240080 = 0.\nAnswer: -208181004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 51. Let y = -6 - x. What is the fourth smallest value in -3, -6, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 3. Suppose 0 = -5*a - 2*h + 7, -5 = 2*a + 4*h + 5. Let f(l) = 4 - a - 1 - 1. Give 5*f(s) + 2*g(s).\nAnswer: -2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*n**4\/5 - 2*n**3 + 452*n**2\/5 - 112*n\/5 = 0. What is n?\nAnswer: -14\/3, 0, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -2 - (58 - (48 - -2)) - -48.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(4*((-52)\/8 - -6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -92898\/505, 2\/3, 1\/5?\nAnswer: -92898\/505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -25. What is the remainder when g is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(6)*-2*-4*-6 - (-5*sqrt(128)*-2 - (-1 + -1 + sqrt(128))))**2 + 3.\nAnswer: 480*sqrt(2) + 28807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/18)\/(11\/88).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2*w + 2)*(1 + 0 + 3) - 7*w - 11*w - 2*w to the form x*w + d and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 331*p**2 - p + 183*p**2 + 100*p**2.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - 39 - 28*o - 33 + 72 as v*o**2 + d + k*o and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8785 - 8784. Let j(g) = -g**2. Let u(l) = 56*l**2. Calculate m*u(b) - 5*j(b).\nAnswer: 61*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (sqrt(192)\/(-6*sqrt(32)\/sqrt(4)))\/(-6*sqrt(392)*-2 - sqrt(392))).\nAnswer: -24 - sqrt(3)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.24 + 0.34. What is the closest to h in 2\/19, 0.4, 1\/2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 15, l + 4*i = 3*l - 10993320. Let v = l - 8696670. Round v to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1407385*a**3*j**3 + 3*a**3*j**2 + 856764*a**2*j**2 + 5*a**2*j - 82*j**4 wrt j?\nAnswer: 8444310*a**3 - 1968*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8491140071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0420459868 rounded to 4 decimal places?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -324787\/65490 + -16\/2183. What is the common denominator of -17\/210 and q?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = 2*i + 19. Calculate the highest common factor of i and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/2 and (1062\/(-108))\/((-10)\/(-6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1813417, 3626836, 5440255, 7253674, 9067093?\nAnswer: 10880512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4. Let j(k) = -7. Let v(g) = -5*h(g) - 3*j(g). Let w(s) = -11*s + 5. Let o(z) = -z**3 - 5*z**2 + 2707*z + 16211. Let c be o(-6). Give c*v(y) - w(y).\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.099*5\nAnswer: -0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 285225 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (0 + 3)) + (41 - 38).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4423641 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/438406 and 119\/12?\nAnswer: 2630436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -20*v**3 - 2*v**2 - 18*v - 192. What is the second derivative of n(i) wrt i?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41 + 741248.\nAnswer: 741247.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.2, -2\/6395, -2\/3?\nAnswer: -2\/6395","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 6)*(-81*o**3 + 96*o**3 + 679*o**3).\nAnswer: 4164*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 - -719715.01\nAnswer: 719715.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 26. Let u = h + 18. Suppose -f + u = -27. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -758.45 - -761. Which is smaller: -0.1 or c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7 - 2*r + 1 + 6. Let h(g) be the first derivative of -13*g**2\/2 + 1. Give l(h(t)).\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1029)\/(-4116)*(-6)\/13.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**4\/13 + 386*b**3\/13 + 2616*b**2\/13 + 2232*b\/13 = 0.\nAnswer: -186, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (35\/(-14))\/((-10)\/12). Suppose -3*i = -g - 0, -4*b - 4*i + 49608 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 465241206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1188.2 - -1188. What is the fourth smallest value in y, 15, -5, 2\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101303022013 (base 4) in base 16?\nAnswer: 473287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(85)*-2 + sqrt(85)*-2*4)\/((sqrt(125) - -4*sqrt(125) - sqrt(125))*5).\nAnswer: -sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1624 is divided by 273?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239846 is divided by 394?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/9 - -2)*9. Let g(h) = 6*h**2 + 5*h - 3. Let x be g(c). Calculate the highest common factor of x and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5029 - -1.4971. Which is the third biggest value? (a) y (b) -330 (c) 4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssn when three letters picked without replacement from nsnnnnnnnnsnnhnns?\nAnswer: 13\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, o: 4}. What is prob of picking 4 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p - 1027756*p**2 - 9*p - 8*p.\nAnswer: -1027756*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -270481896\/341 - -793201. Let j = o - -21\/31. Let m = -1255 - -3818\/3. Calculate the common denominator of j and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40201 (base 5) to base 12.\nAnswer: -1587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i - 43 = 757. Solve 18*g = 22*g + i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*t - 5*t + 118 = 0, 0 = 4*t + 4. Suppose -r + 3*m + 19 = 0, 3*r + 0*r = -2*m + j. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 4) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2559*z + 130330 = 186369 + 220333 for z.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -4. What are the prime factors of 4 + 1 + u\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000371064853 to seven decimal places.\nAnswer: -0.0003711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*s = 490 + 1580 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/d**5)*(d*d**6)\/d assuming d is positive.\nAnswer: d**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1862.15 + 1909. Let t = y - 48. Round t to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 6*n**3 - 2\/7*n**4 + 66*n - 242\/7*n**2 - 260\/7 = 0.\nAnswer: 1, 2, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76.67 + -77.67. Which is the closest to -2\/3? (a) -3 (b) -2.21 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 16, -11 in increasing order.\nAnswer: -28, -11, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + -1 + 2 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3632627.\nAnswer: 29, 229, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.819817769 rounded to four dps?\nAnswer: 1.8198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**12*g)\/g)\/(g**(-1)*g))\/((g**(-5\/7)\/g*g)\/g*g\/(g\/((g\/g**(1\/26))\/g*g))*g) assuming g is positive.\nAnswer: g**(2321\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and 335777.\nAnswer: -5036655","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 489394892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 2*r**2 + 5*r + 4. Let p be f(3). Solve 3*u = -4*m + 20, 0 = m - 6*m + 5*u - p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.3809 times -691?\nAnswer: 5791.2019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 224 divided by 2\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/23 bigger than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*x - 32*x - 71 + 11 = 2*a, 2*a = -x - 58 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3820, -7639, -11458, -15277?\n\"Answer: -3819*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuucuupuunncupu. Give prob of picking 1 c and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r + 1. Let d be -5*4*(-2 - (-43)\/20). Let y(j) be the third derivative of 5*j**4\/24 + 6*j**2. Determine d*y(g) - 2*x(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1752816 is divided by 67416?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 o, and 1 b when three letters picked without replacement from yjjyyjmojyjbjymjc.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -m - 5*d - 15, -5*m - 5*d + 75 = 0. Let r = 74 - 68. What is the remainder when m is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + 14942\/6 - 2\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**2\/7 - 834*u\/7 - 240 = 0.\nAnswer: -2, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6, 0, 0.5, -2, 4 in descending order.\nAnswer: 4, 0.5, 0, -2, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -63*b**3 - 2*b**2 - 31*b - 8. Calculate the remainder when n(-3) is divided by 57.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8550 + -6057. What are the prime factors of x?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(245))*6 - ((sqrt(245) - (-1*(sqrt(245) + 1) + sqrt(245)))**2 + sqrt(245))) + 2 + (0 + -1 + sqrt(245) + 4)**2.\nAnswer: 4 + 63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132420229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3571432 is divided by 3444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 7:01 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x - 8. Calculate the remainder when 24 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 17252951 and 17252960 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -12*p**2 - 5*p - 1. Let t(j) = -j**2 + 2*j + 1. Let m(c) = 7*t(c) + 7*x(c). Find the second derivative of m(q) wrt q.\nAnswer: -182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 - -11. Suppose a - 59 = -0*a + 3*n, -4*n + b = a. Suppose i + 0*z - 5 = -2*z, a = 5*i + 2*z. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189340579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -1\/5*f**6 + 0*f + 0 - 25\/6*f**4 + 7\/60*f**5 + 0*f**3 + 151*f**2. Find the second derivative of k(g) wrt g.\nAnswer: -144*g + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4\/4 + 65*m**3\/4 - 75*m**2\/2 - 260*m + 792 = 0. Calculate m.\nAnswer: -4, 11\/3, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -415661\/33 + 12598. Find the common denominator of 6*35\/(-119) + (-4)\/(-6) and k.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a decade in months?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-21) - 4) + 4. Sort -0.1, v, 0.\nAnswer: -0.1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331.1547 millilitres to litres.\nAnswer: 0.3311547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34192 + 34193. Suppose -5 + 0 = -i. Solve -6*o + i*o + w = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14 - -25) + (-3968)\/384)\/((-16)\/3)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*u - 0*i - 41, -3*i + 7 = -u. Let w(z) = -5 + 1 + u*z - 4*z + 2. Calculate w(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 17*m**3 - 4*m**2 - 9*m - 4. Let l(s) = -33*s**3 + 7*s**2 + 18*s + 7. Let p(i) = 7*b(i) + 4*l(i). What is the second derivative of p(a) wrt a?\nAnswer: -78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n - 4*n + 76 = 0. Suppose 3*g - 43 = -n*q, -3*g = 4*q - 6*g - 13. Solve p = q*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 249014680 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 + 5 + 0*c**3 + c + 10*c**4 + 16*c**2 - 23*c**4 + c**3 as m*c**2 + q*c + l + n*c**4 + u*c**3 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014041.7711 rounded to the nearest 100?\nAnswer: 1014000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -891, -114, 1 in descending order.\nAnswer: 1, -114, -891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 1:21 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 4. What is the tens digit of (-8)\/(-20)*(-110)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1)\/(8\/8). Let s be (-10 + z)*30\/(-12). What is the units digit of -1 + 0 - (9 - s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270857321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5430367521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -23*z - 17. Let b(w) be the second derivative of -4*w**3\/3 - 3*w**2 - w. Let h(o) = 17*b(o) - 6*j(o). Let g(q) = 3 - 20*q**2 - 3. What is h(g(s))?\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46766*i**2 + 9584 wrt i?\nAnswer: -93532*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.2118052 and 1.\nAnswer: -2.2118052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by (4 - 42\/10)\/(3\/(-555))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -354, 2\/15, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 20\/242859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -10*j**3 - 6*j**2 + 3*j - 1. Let h(u) = 11*u**3 + 7*u**2 - 3*u + 1. Give -6*h(c) - 7*l(c).\nAnswer: 4*c**3 - 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 1. Let f(g) = 2*g**2 - 8*g + 6. Let c(a) = -f(a) - 6*v(a). Factor c(k).\nAnswer: 4*(k - 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrususrseeseeer. Give prob of picking 2 s and 2 u.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9778*h**3 - 73*h + 26 wrt h.\nAnswer: -58668*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -7 - 241*y - 8 - 2 - 378*y. Does 11 divide l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2. Let a(k) = 180*k - 11. Let t(w) = -60*w + 4. Let r(g) = 3*a(g) + 8*t(g). Calculate b(r(p)).\nAnswer: -7200*p**2 + 240*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.1. Let w = -2.4 - -2.5. Put w, -3, z in descending order.\nAnswer: w, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4180333386.\nAnswer: 2, 3, 331, 2104901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001398852 rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-4))\/((-204)\/(-748)*440\/36).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -5*a - 3, b + 136*a = 138*a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 22. Let h be 24\/9*3\/1. Calculate the greatest common factor of i and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83741 by 5.\nAnswer: -83741\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/1800 and -53\/70850.\nAnswer: 2550600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 + 4.5. What is the nearest to 0.1 in n, -0.1, 5\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -8399?\nAnswer: -8399.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*f + 164*f + 3*f**2 - 6*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r = -43*r + 64. Put r, -4, 0, -1 in descending order.\nAnswer: r, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -9*x**2 - 53*x + 18. What is s(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/4)\/(9\/12) + -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n - 2\/5*n**2 - 32\/5.\nAnswer: -2*(n + 2)*(n + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*t**3 - 55 + 86 - 20*t**2 - 31 to the form j + m*t**3 + w*t + y*t**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 - 1 - (64 - (6 - -39))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0.3, 1\/25, 1 in increasing order.\nAnswer: 1\/25, 0.3, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50304, 0, -5, -4, -20.\nAnswer: -50304, -20, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 5*l**7\/42 + l**6 + 3*l**5\/2 - 25*l**4\/3 - 65*l**3\/2 - 45*l**2 + 32*l. Determine d so that h(d) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012221112211221 (base 3) to base 7.\nAnswer: 301552453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-84 + (40 - -22) + -41)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 39, -14, -147, -396, -797, -1386, -2199?\n\"Answer: -6*p**3 - 4*p**2 + p + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35039 is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/((-392)\/42))\/5\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, -0.17, 0, -13, 0.15?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/l**(1\/3)*l)\/l)\/l)\/(l*l**(-3\/4)*l) assuming l is positive.\nAnswer: l**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 16*a**4\/5 - 75319688*a**3\/5 - 188299303*a**2\/5 - 80027209*a\/5 - 9414966\/5 = 0.\nAnswer: -2, -1\/4, 4707483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b = 52. Let d be b*((-12)\/(-8) - 2). Let y = -24 - d. What is the highest common divisor of y and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 352 and 48.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u. Let h(p) = p**2 + 8*p - 4. Let x be h(-9). Let m = -2 - -4. Let i(z) = 5 - x - 3*z + m*z. Determine v(i(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 14.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -469*k**2*l + 35375*k**2 - 2644604*k*l - 3*l wrt k?\nAnswer: -938*l + 70750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -32?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0182447822 rounded to 4 decimal places?\nAnswer: -0.0182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116.836 + -0.164. Let t = -116.7 - f. Suppose 3 = 6*h - 3*h. What is the biggest value in h, t, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (-2*sqrt(1573))**2 + (sqrt(13)*-2 - sqrt(13))*2 - -3*((-2 + sqrt(1573))**2 + (sqrt(13) - (sqrt(91)\/(sqrt(21)\/sqrt(3)))**2))).\nAnswer: -43944 + 540*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 54, 113, 172, 231?\n\"Answer: 59*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -3*y**8\/280 + 7*y**4\/24 - 23*y**3\/3 + 4. Let d(g) be the third derivative of m(g). Differentiate d(n) with respect to n.\nAnswer: -72*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578209 is divided by 1002.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-5 - 12\/(-3)) + 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 367109 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/13 + 588474*b**2\/13 + 3331475184*b + 242956519208.\nAnswer: 2*(b + 73)*(b + 147082)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.45 to 1 decimal place.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1\/(2\/30)*470\/282 and 40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Let x(n) = 79*n**2 + 174*n - 174*n + 19*n**2. What is b(x(i))?\nAnswer: -98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 42*-30345\nAnswer: -1274490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 1:47 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. Let w be 262\/14 - 12\/(-42). Suppose -3*m = -r + w, -32 = -6*r + 3*r + 4*m. What is the remainder when r is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 5\/4 (b) 7\/16 (c) -63\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.049676577\nAnswer: -0.0049676577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12aae (base 16) to base 8\nAnswer: -225256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - 40*h - 176. Let s be f(-7). Solve -3*p - s*g + 4*g = -6, p + 6 = 2*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*193554941\nAnswer: 77421976.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(3)*-5)\/sqrt(2))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81 + 189. Let c = a + -148.6. Round c to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.2819 + -14.2819. Suppose 5*k - 5 = 10. Let z = k + -8. What is the nearest to 4 in s, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l. Let q(v) be the third derivative of -1223*v**4\/24 - 72*v**2 + 6*v. Calculate q(k(g)).\nAnswer: 6115*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244228617.\nAnswer: 3, 821, 33053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4 + 5 - 5 + 0 + 2*m. Let v be f(4). Solve 0 = -2*t + 4*t - 2*n + v, -6 = 4*t - 3*n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164064997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i - 3. Let a = 145 - 138. Let z(p) = -13*p - 5. Calculate a*f(s) - 4*z(s).\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13495, 31400, 49303, 67204?\nAnswer: 85103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(-y - 3*y + 5*y) + 3*y - y + 5*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -24903970 to the nearest 10000.\nAnswer: -24900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.39 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + k + 1. Let t = 13 - 14. Let m be y(t). Suppose w = 2*h - 7, 0 = -m*h - 3*h + 4*w + 25. Solve 0 = f - h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30773180 and 15386590.\nAnswer: 30773180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-738)\/5535)\/(2\/(-10)))\/((-3)\/18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438*x**3 - 170*x**3 + 5*x + 0*x - 14*x.\nAnswer: -608*x**3 - 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 517 - -60841?\nAnswer: 61458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 47.9. Sort h, -1\/4, 1 in decreasing order.\nAnswer: 1, h, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjmj when four letters picked without replacement from jjjmjmjmmj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(sqrt(180) + 1)**2 + 3 + (sqrt(180)*-5 + -4)*-6.\nAnswer: 208 + 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 15, m: 5}. Give prob of picking 2 m.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -30. Let p = s - -17. Suppose j = p*d - 0*j - 187, -5 = -j. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -81*d**2 + 33*d + 2386. Let t(f) = -21*f**2 + 8*f + 596. Let r(c) = -4*i(c) + 17*t(c). Differentiate r(h) with respect to h.\nAnswer: -66*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 798 - 807 = -g + m, 4*m + 18 = -5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41820 and 59.\nAnswer: 2467380","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1541*d - 230. Let b(z) = -27*z - 4. Let v(q) = -345*b(q) + 6*s(q). Let w(j) = 12*j. Calculate v(w(a)).\nAnswer: 828*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - -1*sqrt(110)*2)\/((sqrt(160) - (2*sqrt(160) + sqrt(160) + sqrt(160))) + sqrt(160) - sqrt(160)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/((-12)\/48). Sort 3, y, -3, 0 in descending order.\nAnswer: 3, 0, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x + 3606 = -54*x + 4592 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 3, y: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhrzzzrzohrz. What is prob of sequence rrh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27 (b) -1 (c) -0.08 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54.42 + -55. Let o = w + 0.08. Which is the closest to -0.1? (a) -2\/9 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**5\/2 - 111*d**4\/2 + 2259*d**3\/2 + 3191*d**2\/2 - 98070*d - 352800 = 0.\nAnswer: -5, 16, 21, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -18*p**2 - 2*p - 37. Let c(q) = 5*q**2 + q. What is -2*c(s) - r(s)?\nAnswer: 8*s**2 + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-5)\/(-6) + -1). Suppose l = -3 + 9. Suppose -5*v - l + 2 = -n, 0 = -5*v. Calculate the greatest common factor of o and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**2\/2 - 2. Let v be h(3). Suppose -3*w + 95 = 5*d, -2*d - 2*d = -w - 59. Solve -4*s - t + v + d = 0, 5*t - 31 = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 - (-182)\/(-44). Let y = 818\/231 + x. Let z = 299\/1071 - -1\/153. What is the nearest to 1 in 3, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a + 124 = 2*o, -5*o + 293 = 4*a. Suppose 4*z = 170 - 50. Let i = o - z. Calculate the remainder when i is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x**2 - 2165402*x\/7 - 412456\/7 = 0 for x.\nAnswer: -51557, -4\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/585*5*10*39\/2860?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvuq when four letters picked without replacement from {v: 1, t: 7, u: 4, q: 2, z: 1, j: 2}.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r. Let x(h) be the second derivative of 0*h**3 + 0 - 40*h - 7*h**2 - 1\/2*h**4. Determine f(x(o)).\nAnswer: -12*o**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*g - 6*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t + 5\/6*t**3 - 2*t**2 + 0. Let q(k) = 11*k - 9. Determine -13*f(r) + 6*q(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 364 - 6?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471143 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1031 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -5 + (-180)\/(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160106.\nAnswer: 2, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.49.\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/7))\/(r*r**(8\/7)*r)*(r**44*r)\/(r**26*r) assuming r is positive.\nAnswer: r**(109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 + 66*g - 415. Give t(7).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 76f + cbf2?\nAnswer: d361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20574 less than -62.9?\nAnswer: 20511.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 50. Let g = j - -46. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-6))\/(3\/(-9)). Let b = 10 - 10.24. Let n = -0.06 + b. What is the second biggest value in 5, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4\/150768291?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 520391437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1080 and (11 - -13)\/((-14)\/(-105))*5\/2.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6524, -13080, -19634, -26186, -32736?\nAnswer: -39284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -4. Suppose i*u + 1 + 7 = 0. Let n = 8 + u. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = w + 10, 0*u + 2 = u + w. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 - 3*r**4 + 2*r**5 + (-r**5 - r**2 + r**2)*(-2210 + 1155 - 2755).\nAnswer: 3812*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 7670.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.643984 kilograms in micrograms?\nAnswer: 643984000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 784 divide 226576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5)*h)**(10\/7) assuming h is positive.\nAnswer: h**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21916850*p**3 - 4524008 wrt p.\nAnswer: -65750550*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 17 = -3*x, 10 - 33 = -5*o - 3*x. Solve o*q - 8 = 0, a + 4*q - 14 = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 140.9 - 142.9. Which is the closest to 6.3? (a) z (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1440 + -7171\/5. Let d be ((-6)\/(-3))\/((-30)\/107). Let r = p + d. What is the common denominator of r and -89\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-3))\/4*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*r - 38*v = 341*r + 322, -2*r - v - 2*v - 10 = 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**4\/8 - 7*i**2. Let v(d) = 6*d**2. Calculate v(k(f)).\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3722 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409494\/693 + (-16)\/(-168) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 9 + 41. Solve 4*v + 5*z = -d + 23, 3*v = 2*z + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 + -14. Suppose -205*d + 198*d + 266 = 0. Calculate the remainder when m is divided by d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26579, 23415, 18141, 10757, 1263?\nAnswer: -10341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - ((-1 - -5) + -6). Solve p*f + 4*k + 6 = 0, 0 = f - 4*f + 5*k + 21 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*k - 368*k = -312 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2209000 to the nearest 10000.\nAnswer: -2210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 24145162 divided by 24\nAnswer: 12072581\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12183585 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -84. Suppose 0 = -5*g - 4*m + 42, 3*g - w = -g - 4*m. Let z be ((-4)\/(-3))\/(g\/15). Solve b - 7 + z = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, -396 in decreasing order.\nAnswer: 4, -9, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12131132 - -231?\nAnswer: 12132023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22774716 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3305, -3191, -3079, -2969, -2861, -2755?\n\"Answer: -q**2 + 117*q - 3421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 4*l**2 + l**2)*(-111*l - 20626 + 20626).\nAnswer: 333*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 - 30*a**2 - a + 15. Let s be v(15). Let h(n) be the third derivative of -1\/22*n**4 - 3\/11*n**3 - 1\/330*n**5 + s + 0*n - n**2. Factor h(o).\nAnswer: -2*(o + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, r: 4, w: 6}. Give prob of picking 3 m and 1 w.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h + 8691. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144101?\nAnswer: 3, 7, 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k + 3. Let u be o(5). Let y be 312\/22 + (-6)\/u. Calculate the highest common divisor of 56 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2489 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 third derivative of -185*h**3 + 65*h**2.\nAnswer: -1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91 + -4 + 0 + 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -17*j**8\/28 - j**5\/20 - 271*j**4\/12 - 2*j - 44. Find the third derivative of p(c) wrt c.\nAnswer: -4080*c**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -640.24003 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-4)\/8*(-6)\/(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 329 and 2538.\nAnswer: 17766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/7 - 39*p**2\/7 - 234*p\/7 - 8.\nAnswer: (p - 14)*(p + 4)*(4*p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51686*c**6*f + c**3*f**2 - 59938*c**2*f + 4*c*f**2 wrt c.\nAnswer: -6202320*c**3*f + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(65)\/sqrt(5) + (-2*sqrt(832) - sqrt(832)) + sqrt(832))**2.\nAnswer: 60*sqrt(13) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 5*z**2 - 7*z + 6. Let l be x(6). Let q be 2\/(-4) + (-35)\/2. Let r be 9*3*(-4)\/q. Solve -k + r*k = l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1023352530 (base 6) to base 8.\nAnswer: 51165246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -14. Suppose -l*o + 5*o + i - 52 = 0, -3*o + 3*i = -60. Let f = -13 + 22. What is the highest common divisor of o and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/12 and -1\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.1802535 to 1 dp.\nAnswer: -21.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 15. Suppose 18 = 6*x - m*x. Let n be 6\/((x\/4400)\/3). Round n to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 9:33 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = y - 1, -3*y = 373 - 361 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10000010 (base 2) to base 10\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10390409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11657876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)*-2 + -1.\nAnswer: -24*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-136)\/20 + 1 - -2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*n = -30*n - 57 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -47.36. Let f = d + -1.64. Let t = -26 + 37. Which is the biggest value? (a) 1\/5 (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 31*f**2 - 9*f + 9. Let z(o) = -4*o**3 + 2*o**2 - 3*o - 1. Let b be z(2). What is the units digit of l(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 9. Let y be k(3). Let j = -12 + 7. Let w(s) = 7*s**2 + 5*s. Let u(m) = m + 3*m - m + 4*m**2. Give j*u(a) + y*w(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -48*r + 45*r + 35, -105 = 4*r + 25*f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3938279.73 - -3974930. Let j = -36483 + i. Let t = j - 169. Round t to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 21*d**2 + d - 1. Suppose -3*c + 5*w - 4 = -17, -2 = 2*c + 2*w. Determine y(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000034977 rounded to 6 dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-4)\/((3 - 9) + 10))*31.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967774?\nAnswer: 2, 673, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, m: 6}. What is prob of sequence mu?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 p, and 1 l when four letters picked without replacement from {p: 1, t: 2, l: 1, m: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16394, 19739, 25312, 33119, 43166, 55459, 70004, 86807?\nAnswer: 105874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*c + 8. Solve -g + 4 = q, 10 = 5*g + 3*q - c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*i + 103 - 108 + 0*i**3 - 56 + i**3 with respect to i.\nAnswer: 3*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivigjgqgggiigsv. What is prob of sequence isij?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -363 + 402. Find i such that -9 - 12*i**2 + 29 + 44*i**2 - 16*i**4 - 44*i**3 + 124*i**2 + m*i - 155*i = 0.\nAnswer: -5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 345 and 12213?\nAnswer: 61065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4718846)\/350376 + (-36)\/(-26) + 36\/(-16).\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 6. Let b be f(4). Let j be b + (1 - (-6)\/(-3)). Suppose -s + 3*s - 16 = 0. Calculate the highest common factor of j and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.21 times 0.2\nAnswer: 1.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.887 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/143 + (-3 - (-408)\/(-33))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 + 3*f**3 - 3*f**3 - 2 + 2 + 5*f**3 + (0*f - f - f)*(3*f**2 - 3*f**2 + f**2).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 7*s**2 + 7*s + 7. Let i(d) = -8*d + 24. Let z be i(4). Let p be u(z). Suppose 5*k - p = 0, 5*n = 5*k + 2136 + 2794. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 8*j**2 - 9*j + 17. Let g be v(7). Factor 0*u + 3\/2*u**g + 0 - 1\/2*u**2 - u**4.\nAnswer: -u**2*(u - 1)*(2*u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 583404 and 732.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**(-2\/17))\/(p*(p*(p\/(p**1*p))\/p)\/p))\/(p**(-3)\/(p\/(p**6\/p))))\/((p\/(p**(-5)*p))\/p**9)**29 assuming p is positive.\nAnswer: p**(2004\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 757 + -527. Let q = 447 - b. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4388 is divided by 876.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (174\/(-116) - (-5)\/3*1)\/((-2)\/378)?\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(612) + -3 + 1)**2.\nAnswer: -1232 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -11. Let z be (-16)\/(-3) - t\/6. Suppose -i + z*d - 2840025 = 3*i, 5*d = -i - 709975. What is i rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 76 - 131 = 0. Suppose d*f - 17*f = -48. Solve 3*i + f + 5 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117 or -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5 + sqrt(396) + 1 + -5 + sqrt(396)*-2*-4)**2)*6.\nAnswer: 648*sqrt(11) + 192432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*z**3 - 150*z**3 - 153*z**3 + 608*z**3 - 153*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**2 - 9*s**2 - 79*s**5 + s**2 + (2*s**2 + 0*s + 0*s)*(3*s**3 - 2*s**3 + s**3).\nAnswer: -75*s**5 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -8. Let m(a) be the third derivative of -1\/60*a**6 + 0*a**5 + 2*a**n + 0*a**3 + 0*a + 0 + 1\/12*a**4. Find f, given that m(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 - 8 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*v - 22*v - 2772 = 0. Does 25 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286559249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.07 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**3*r - 482*m**3*w - 150*m*r*w - 2*m*w with respect to r.\nAnswer: -3*m**3 - 150*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-60)\/150)\/(5\/(100\/12)). What is the fourth biggest value in -1, 0.5, -0.367, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*3\/(6 - 3). Let t(u) = 5*u**2 + 3*u**3 - 6*u**3 + 4*u**y - 4 + 1 - 6*u. Calculate t(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (302\/15 - (-6)\/30)*3. Suppose -t*y + 123 = -58*y. What is the remainder when y is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzozzzzdzdrzoozz. Give prob of sequence zd.\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/((-2)\/(-8)). Let j = 1.6 - 3.7. Let g = -2 - j. Which is the nearest to g? (a) -5 (b) u (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102815967 divided by -268449.\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 3*x**2 + 3*x - 3. Give s(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbubbufhhfbhb. What is prob of picking 1 h and 2 u?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111419*l - 111420*l - 49 = 0 for l.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9 + 6 + -1*89. Let q = 182 + g. Let m(v) = -v**2 + 8*v + 3. Let h be m(7). Calculate the greatest common factor of h and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-848)\/(-28) + 4\/(-14). Let y = -13 + b. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3 - 16956*s**2 - 3192927*s - 3175974 = 0. Calculate s.\nAnswer: -5457, -194, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*k, 4*k = -6*v + 3*v + 20719. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61 or 14?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 2*c + 58. Suppose -2*h + 4*i + 16 = -4*h, -2*h = -4*i - 24. Suppose 5*s = h*s. What are the prime factors of w(s)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 3\/77434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 980.\nAnswer: -1\/490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 5\/((-3588)\/(-504) - 7)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9367782 divided by -37?\nAnswer: 9367782\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489683648?\nAnswer: 2, 2297, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) -2\/43 (c) -29821\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -9. Let m be -2 + h + 143\/(-4). Let d = 40 + m. What is the nearest to d in -5, 1\/4, 1\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 10565\/9 (c) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Let r = 2 + -2. Let q be (-740)\/(-80) + 2\/(-8). Solve 2*u + g = r, -u + 4*g + k*g = q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -0.1, 39 in descending order.\nAnswer: 39, 5, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304*h = 300*h + 1084. Is 21 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6339*j**3 + j**2 + 2*j + 1. What are the prime factors of t(-1)?\nAnswer: 3, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 29348 and 29354 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 9, -2*s - 2*u - u + 4755 = 0. Suppose 5*v - 6*b = -3*b + 2920, 0 = -4*v - 5*b + s. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254281201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yty when three letters picked without replacement from {t: 2, y: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3191059710.\nAnswer: 2, 3, 5, 31, 1143749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1264\/11 + 115. Which is the closest to -0.1? (a) q (b) 0 (c) -4\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28.7299 and -189100?\nAnswer: 189128.7299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 - 89 = 4*g + 3*c, g - 2*c = -14 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + 6 + -5 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286548649 is divided by 2603.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 105*o - 2. Give d(1).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 8 = -n, -2*n + 5*q + 19 = -n. Suppose n*r - 20 = -0*r. Solve g - r + 1 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -639*j - 3403. What are the prime factors of y(-91)?\nAnswer: 2, 31, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -18. Let m = -29 + v. Solve 0 = w + m + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/2 - (3 + -1). Let d = p - -5. Suppose 3*i - 27 = 4*k, 5*k - 4*k = -3*i + 12. Solve i*z + d + 4 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y - 4. Let u(k) = -3*k + 4. Let h(v) = 2*p(v) + 3*u(v). Let f be h(-4). What is the second derivative of f*q - 5*q - 4*q + 2*q**4 wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 673 - 687. Sort 2, 4, r, 1\/2 in ascending order.\nAnswer: r, 1\/2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310644336?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 12:59 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97008 is divided by 137.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in -8, 11, 21, 0.2?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 279 and 1003425?\nAnswer: 279955575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 302.01 + -302. Which is the closest to -2\/13? (a) s (b) -0.5 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1965 + 1961. What is the nearest to 2 in -0.2, g, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 10\/3, 2\/13, 0, 1\/5?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10465652 to the nearest integer?\nAnswer: 3235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 156 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16614 by -6.\nAnswer: -2769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 - 4*j)*(-11 + 13 - 35) + 0*j + j + j.\nAnswer: 134*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/10)\/(5\/25). Let t = -4 - a. Solve -i + 24 = -2*w - 5*i, t = 5*w - 2*i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 258\/478043 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 17*t**2 - 748*t - 2419. Give r(47).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33440623.\nAnswer: 761, 43943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1269233 is divided by 85?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5*(sqrt(7) + (2*sqrt(7) - sqrt(7))))**2 - ((1*sqrt(84)*-4)\/sqrt(12))**2) + 5 + -5.\nAnswer: -3612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/(((-124)\/(-88))\/(-42*18\/(-2079))).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*v + 1 = -0*l, 0 = -5*v - 15. Calculate the smallest common multiple of l and (-10)\/(-15) - ((-22)\/3 - 1).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -73618561.69 to the nearest 1000.\nAnswer: -73619000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2965447, -5930896, -8896345, -11861794, -14827243?\nAnswer: -17792692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 3, -1\/29, 4, -0.52, 10, 1 in decreasing order.\nAnswer: 29, 10, 4, 3, 1, -1\/29, -0.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8309802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6898, 6803, 6550, 6061, 5258, 4063?\nAnswer: 2398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16264 is divided by 2319.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from bgpjqbbbgqfbbjfb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 801, 710, 551, 318, 5, -394, -885?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 112767 * -12\nAnswer: -1353204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 22*w. Let c(i) be the first derivative of 3*i**2\/2 + 49. Calculate g(c(d)).\nAnswer: 66*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 26\/(-30) - 77\/15. Let s be (-1 + -2)\/(-2 - -3). Let q be (i - (s + 0)) + 4. Solve -2*f + q = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/55 - -27\/275. Let h = -44\/75 - m. Let z = -0.6 + 2.6. Sort z, 0.1, -2\/13, h.\nAnswer: h, -2\/13, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1196542*(4\/6)\/((-4)\/(-6)). Let v be o\/37865*(1 - 72\/32). Let x = -2\/7573 + v. What is the common denominator of 111\/20 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-2)\/(-1 + -1). Let h(j) = -1104*j + 0 + 1124*j - 2. What is the lowest common multiple of h(o) and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133586268?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -675504, -675557, -675600, -675627, -675632, -675609, -675552?\n\"Answer: h**3 - h**2 - 57*h - 675447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 1870\/19, -1\/5, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 6*q. Suppose 30*o - 28*o - 7102 = q. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 97 + 31 = 4*h, 0 = 4*p + 2*h - 94. Let v be 1 + -2 + 0 + 23. Suppose -41 - v = -3*b. Which is bigger: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 607, -2, -3, -1 in increasing order.\nAnswer: -3, -2, -1, 607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 24295.\nAnswer: 3, 4, 24295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3\/7, 1, 6 in descending order.\nAnswer: 6, 1, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 + 44*l + 1694.\nAnswer: 2*(l + 77)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2456018?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1950 - -3743. What are the prime factors of x?\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 632 - 1312. Let z = -676 - f. Solve z*y - 102 = -98 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4552727 to the power of 1\/2, to the nearest integer?\nAnswer: 2134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(600))\/(sqrt(8) - 6*(sqrt(8) - 2*sqrt(8))) + -2.\nAnswer: -2 + 10*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(500)*-1 + 4 - sqrt(500) - sqrt(500))**2 + -4*(sqrt(500) + sqrt(500) + 3 + sqrt(500))*1)*5.\nAnswer: -1800*sqrt(5) + 22505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 36*p - 117*p - 2)*(-3 + 3 + 2*p).\nAnswer: -306*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -128, -4, 5, 17 in ascending order.\nAnswer: -128, -4, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53.42 * 0.08.\nAnswer: -4.2736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 750242871801 and -76.\nAnswer: 750242871725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**2 + 7*k**2 + 3257 - 3261 + (k - 1 + 1)*(-2*k + 3 - 3) + 0 + 0 - k**2 + 0*k + 0*k - 2*k**2 as h + n*k**2 + p*k and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -945\/68263 - -2\/767. Let m = c + -1333\/178. Find the common denominator of m and -93\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77082 * -42\nAnswer: -3237444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 193*l**2 - 5*l + 3544. Let w(i) = 77*i**2 - 2*i + 1773. Calculate -2*t(p) + 5*w(p).\nAnswer: -p**2 + 1777","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (2 - (-3 - -8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from -279995.\nAnswer: -279989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mym when three letters picked without replacement from {m: 4, y: 6}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6987 - 6987 - 2*i**3 - 3*i**2.\nAnswer: -2*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x**2 - 30*x. Let c(h) = 9194*h + 2*h**2 - 4 - 9194*h + 4. Determine c(t(r)).\nAnswer: 98*r**4 - 840*r**3 + 1800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**4 + t**3 + t**2 + t - 1. Let l(i) = 8*i**4 + 4*i**3 + 4*i**2 + 4*i - 3. Let g(c) = -l(c) + 4*s(c). Find the first derivative of g(n) wrt n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.6, 0.5, 448995?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 11. Solve 3 = -3*b - i*b, 4*b + 16 = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -10902, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f - 6*n = -18*f + 11 - 28, 0 = -4*f + 2*n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b (base 15) to base 4.\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-459)\/(-68) + 2\/8. Let s be (-3)\/((28\/(-88))\/p). Calculate the highest common divisor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14610 - -26493. Let g = 23146 - l. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 25 = d + 5*w, 5 = -5*d + w. Let l be 2 - (-10)\/(-2) - -6. Solve -l*g - 6 = -d*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 155 = -r. Suppose 5*b + 15 = r. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -299 + 1478.\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.9825 to one dp.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*h*r**2*s**2 - 57*h*r*s**3 - 26699*h*r*s**2 - 6*h*r*s - 2*h*r - 18*h*s**3 + 2699*r**2*s**3 - r**2*s**2 wrt s?\nAnswer: -342*h*r - 108*h + 16194*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 8:27 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 + -0.67\nAnswer: 0.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3585, 6837, 9895, 12663, 15045, 16945, 18267?\nAnswer: 18915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292\/1 - (-7 - -4) is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9121 less than 9122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -81 + 87 + -27?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3 + 20*g**2 - 48*g = 0. What is g?\nAnswer: 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 2*x + 3. Let t be b(0). Solve -2*n + 3*n + t = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, 31, 44, 49, 40, 11, -44, -131?\n\"Answer: -n**3 + 5*n**2 + 7*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1747650 divided by 382?\nAnswer: -4575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 12*h**2 + 20*h + 54. Is m(13) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 201 + -222. What is the common denominator of -119\/10 and ((-19)\/n - 1)\/(320\/(-1072))?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2491*u**2 - 11*u - 3. Let t(m) = -2490*m**2 + 10*m + 3. Let y(o) = -6*q(o) - 7*t(o). Let n be y(-1). What is n rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/15*-7*(-18)\/1260?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 11441618*h - 34324836.\nAnswer: -2*(h - 5720806)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + s - 2 + 3, 3*n - 7 = -2*s. Let j be 42\/(n + (189\/20)\/(-9)). What is j rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -509084064 divided by -872.\nAnswer: 583812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 0*l**2 - 2\/3*l**3 + 0*l + 1\/24*l**4 + 1 + 1\/360*l**6 - 1\/60*l**5. Let o(f) be the third derivative of a(f). Factor o(v).\nAnswer: (v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -25808930.5 and -0.04699?\nAnswer: 25808930.45301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2, 24 = 4*z + 5*y - 22. What is the second derivative of -s + z*s**4 + 52 - 40*s**3 + 58*s**4 + 40*s**3 wrt s?\nAnswer: 804*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 118*i**2 + 6856*i - 38. Let w(s) = 31*s**2 + 1714*s - 10. Calculate 5*m(h) - 19*w(h).\nAnswer: h**2 + 1714*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*c = -71*c + 41. Calculate the highest common divisor of 287 and c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7095*w*z**2 - 123*z**2 + z - 2 wrt w.\nAnswer: -7095*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6012517393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -2\/5 (c) -7\/34 (d) 3\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(540)\/sqrt(5)*4.\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-4)*(34 + 6). Suppose -5*s + 10*s = z. Calculate the remainder when 22 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 - 0.009976. What is x rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*g + 24 = 0, w + 4*g - 6 = 2*w. Suppose -w = 4*n + j + 23, -n - 4*j = 28. List the prime factors of (n\/(-3))\/((-26)\/(-897)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2002211100221 (base 3) to base 11\nAnswer: -6a4428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 12692.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*t**3 + 194116*t**2 + 13249*t - 210?\nAnswer: -138*t + 388232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/7, -4, -0.6813?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11204988000 to the nearest 1000000.\nAnswer: 11205000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 82 and ((1968\/(-72))\/(-1*1))\/(2\/12).\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6\/5*s**5 + 22\/5*s**2 + 3\/5 - 5*s**4 - 22\/5*s + 16\/5*s**3 = 0. What is s?\nAnswer: -1, 1\/6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - y**5 + (-y + 5*y - 2*y)*(y**4 - y + y) + 20*y**4 - 20*y**4 + 9*y**5.\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 205989.\nAnswer: -5\/205989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217536 and 16274.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*m + 29470 + 29474 - 58943 as z + t*m and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 792 - 776. Let i = 539 + c. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -1 + 3*(-7)\/(-3). Suppose 0 = 9*p - n*p - 20. Suppose 0*j = -f + 3*j + 8, -5*f + 2*j = -1. Sort f, p, -4.\nAnswer: -4, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37985 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h - 6*h + 0*h + h to r*h + n and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -4*m**7\/105 - 3*m**3\/2 + 11*m**2. What is the derivative of b(y) wrt y?\nAnswer: -32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -14*x**2 - 19*x + 1. Let h be t(-1). What is the greatest common factor of 66 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10743123\/89 at least 120709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2*l = -4*t + 468, -576 = -5*l - 2*t. Let q = l + -114. Solve 0 = -q*k - k - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 5*g + 10, 2 = 4*i - 3*g - 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 31818600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = y. Find the second derivative of -6*g**3 + y*g - 2*g + 3*g**3 - 3*g wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 - 12 = y. Is 23 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 32. Let v be (-12)\/20 + i\/(-15). Suppose -z + 4 = v, 2*g = 7*g - 3*z - 618. Calculate the remainder when g is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 4*t - 5 = 0, -4*n + 7*n - 3*n - 2*n + 36*t = -170 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 9. Let r be (1 + q)\/(5\/13). Let m = r + 23\/3. What is the smallest value in m, -4, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -563, -850, -1141, -1436, -1735, -2038?\n\"Answer: -2*b**2 - 281*b - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110212102100021221 - -11?\nAnswer: 110212102100022002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671593 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 43*z + 5431. Determine l(-64).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -382*z + 82*z - 9*z**5 + 2*z**5 - 13*z**2 + 4*z**5 wrt z.\nAnswer: -60*z**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**(-2\/7))\/l*l)\/l)\/l**(-14))**23 assuming l is positive.\nAnswer: l**(2300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 105*m**2 - m - 1. Let g be b(-1). Let k = 295935\/22 + -13456. What is the common denominator of g\/275*(-15)\/2 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2726017?\nAnswer: 7, 55633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 4. What is the greatest common divisor of t and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(3\/(2 - 5)). Suppose p*z - 3 - 12 = 0. What is the highest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*z + 5625, 4*z + 17582 - 707 = 3*q. Calculate the remainder when q is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2170958?\nAnswer: 2, 709, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(95) - (sqrt(95) + -2*sqrt(95)*3)) + 1*(-2*sqrt(95) - sqrt(95)))\/((sqrt(15) + (sqrt(60) + 2*sqrt(60) + sqrt(60))\/sqrt(4))\/(-1*sqrt(75))).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-186 + 11 + 28)*(1 - 2 + 2)*(-16 - 9*b + 16).\nAnswer: 1323*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 1)*(-7)\/2. Let k = l - -11. Solve k = 4*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*w - 39, 0 = 4*m - 6*w + w + 52. Let v(l) be the third derivative of l**4\/12 + 13*l**3\/3 + 282*l**2. Calculate v(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652507785?\nAnswer: 3, 5, 19, 254389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mch when three letters picked without replacement from hcmfccy.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Let s(b) = -42*b - 2. Suppose -2*n = -4*x + 50, 0*n - 51 = -4*x + 3*n. Let z(u) = 3*u. Let m(d) = x*z(d) + s(d). Calculate m(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/5*(-70)\/(-4). Let o = s - 68. What is the tens digit of o\/1*4\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132192 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*j**4 + 275*j**2 - 275*j**2)*(0*j - j + 3*j) + (-1 + 1 - 2*j)*(2*j**4 + 0*j + 0*j).\nAnswer: 112*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 2225540 and -3\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1714\/13 + -132. Let g = -72 - -790\/11. Let q = -4\/13 + 21\/26. What is the smallest value in x, g, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4 + 4*w**3 - 20*w**2 + 12*w = 0. Calculate w.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1047121648 and 376.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 419381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5604 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: Calculate -1830 divided by -6.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 2:42 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c\/c**15)\/c))**22\/(c\/((c*c*c**4*c)\/c))**(5\/8) assuming c is positive.\nAnswer: c**(2665\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -27*p - 7. Is d(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + ((-15012)\/(-270) - 27 - (-6)\/(-10)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -50. Solve -5*g + f = 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -577042.\nAnswer: -13\/577042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20957 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 2 + 1 + b. Let p be q(2). Suppose l + n = -2*n + 13, -p = -n. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 519 - 80. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2710\/45 - (3 + (-75)\/27). Calculate the greatest common divisor of 84 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/29282773 and 59\/91.\nAnswer: 204979411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -29. Let s = 4 - -14. What is the lowest common multiple of m and s?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*t**5 + 8*t**5 - 9*t**5 + (-2*t**4 + 2*t**4 - t**4)*(-1 + 1 + t) + t**5 + 3*t**5 - 2*t**5 - 2*t**5 - t**2 + t**2.\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + u**3 - 3*u**3 + 3*u**3 + u**3 + (4 + 2*u - 4)*(3 - 3 + 8*u**2) as q*u**3 + c*u**2 + l + g*u and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*h = -133 - 143, -2*g - 2*h + 568 = 0. 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 b = 62 - 247\/4. Do -6 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5357*h = -1096*h - 200043 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/760369 and -95\/8.\nAnswer: 6082952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 49, 54, 59, 64, 69, 74?\n\"Answer: 5*q + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*r - 202 - 20 = 0, 5*r = 2*z - 163. Suppose 96 - 24 = 3*y. Calculate the remainder when z is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z**2 - 2*z + 1. Let y be v(-2). Let q = y - -31. Let b = 8 + -5. Solve -q = 3*f, 2*f = b*l - 9 + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rggmgrggrr. Give prob of picking 4 r.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, -2\/19, -8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -7, 4, 19, 38, 61, 88?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 2. Let u be p(4). Solve -4*g = -12, -u*l + 4*g - 12 = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j + 1. Let a be -5 + 3 - j - -25. Let t be (-3*1)\/(18\/a). Is t <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 13 = 5*n, -3*n + 48 + 31 = 5*p. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 2*v**2 - v. What is b(5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**5\/130 - 2*f**4\/39 + 4*f**3\/39 - 19*f - 38. Let c(s) be the first derivative of y(s). Let c(g) = 0. Calculate g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 17*t - g - 1535 = 0, 2*t - 4*g - 1550 = 0. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 225 - 48. Let v = k + 29. Factor -4*o**3 + v - 238 - 7*o - 4*o - 28*o**2 - 45*o.\nAnswer: -4*(o + 1)*(o + 2)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325, -652, -979, -1306, -1633?\nAnswer: -1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-5))\/(6\/45). Let u = -5 + s. Suppose 2*f + 11 + u = 4*k, f + 1 = k. Solve 5*b - 4*p = 7, 0 = b + b + f*p - 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2880 divided by -20\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*1*477\/(-12)*-2. Let z = -162 - n. Let i(b) be the first derivative of 2*b**3\/3 + 2*b**2 - b + 2. What is i(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-21))\/(-1))\/(125\/375)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -713928 by -6.\nAnswer: 118988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -3588.\nAnswer: -3584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 - 3*o**3 - 10*o**3)*(0*o + 0*o - 2*o)*(32 - 32 - o).\nAnswer: -32*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*f**2 + 399592*f - 4263680.\nAnswer: 4*(f + 33310)*(3*f - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76314407 rounded to four dps?\nAnswer: 0.7631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 31435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9074*m = -9078*m - 108 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57167 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150 a factor of 163293990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 122*t**2 + 663*t - 212. Give h(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(13))**2 + sqrt(13) - sqrt(13)) + -1 - (sqrt(13) - sqrt(65)\/sqrt(180))) + 5.\nAnswer: 7*sqrt(13)\/6 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -659*z**3 - z**2 - 17*z + 16. Determine u(1).\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from nantrrntannaannnan.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/4599 and 103\/18?\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1981*a**5 + 1441*a**5 + 1668*a**5 + 2531*a wrt a.\nAnswer: 101800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*n - 76*n + 421*n + 720*n)*(-18*n**3 + 8*n**3 + 1 - 2*n**2 + 8*n**3).\nAnswer: -1928*n**4 - 1928*n**3 + 964*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = 0, -s + 5 - 2 = 3*x. Suppose s*r - 11*r + 190 = 0. Suppose -3*n + 125 - 22 = p, -p = n - r. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -18*i**3 + 3*i**2 + 3*i + 3. Calculate the remainder when r(-2) is divided by 3\/(-9) - (-1224)\/108.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c + 147004 = 64*c. Let y = -2342 + c. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79034557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 279308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -4 + 2\/3. Let i = -8.5 + 9. Which is the closest to -0.1? (a) 0 (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g + 11. Let s be l(3). What is the greatest common divisor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -64.1?\nAnswer: 69.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*q**3 - 99*q**3 - 110*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1981140?\nAnswer: 2, 3, 5, 7, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/3 - 266246*s**4\/3 + 88726*s**3 + 8785934*s**2\/3 + 15708340*s\/3 + 2484944 = 0. What is s?\nAnswer: -4, -1, 7, 133122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113042, 226072, 339102, 452132, 565162, 678192?\nAnswer: 791222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1595\/33)\/(2\/6). Let g = -55 + r. What is the tens digit of 6\/4*5\/(g\/336)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p**2 - 4*p - 2. Suppose 3 = -2*i - 1. Calculate l(i).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(40\/70 - (-462)\/49)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*m = -235325, -2*y + 94150 = -4*y + 2*m. Round y to the nearest one thousand.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5614 and 12334.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:06 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + -11 + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2 + 9*c**2 + 7*c**2 + 69 + 4*c**2 - 23*c**2 - 8*c. Is 46 a factor of x(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110011100 + -110110000010100?\nAnswer: -101011001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9852*p - 1595968. Calculate h(-162).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1354222 in -0.1, 1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33721, -39628, -45535, -51442?\nAnswer: -57349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - -4*sqrt(18)) + 0 + sqrt(18).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(54\/120 - (638\/88 - 7))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -12*r + 902. Determine c(-3).\nAnswer: 938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d43 + -1a?\nAnswer: -3d5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c07 (base 16) to base 13.\nAnswer: -8b22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 18\/11 (b) 0.02 (c) 84\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 0 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 3:31 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -17. Let a = -10 + y. What is the units digit of (a - 1) + (-6)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108534.\nAnswer: 2, 3, 18089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 14 = 6*o. Suppose -4*v = z - o, -5*z - v = -2*v - 35. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 7:27 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -396.155 - -396. Is q > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -539 in decreasing order.\nAnswer: -1, -2, -539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - -2) + -9)*81\/2457*-13\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 104066 divided by 196\nAnswer: 52033\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 11*p**4\/24 + 26*p**3\/3 + 18*p**2 + 26*p. Let y(h) be the first derivative of g(h). Differentiate y(i) wrt i.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5882 (base 10) in base 13?\nAnswer: -28a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -173 - -174. Suppose f + 63 = 2*f. Let h be 32\/f - (-2)\/(-7). Which is greater: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 - 63*b**3 - 1131*b**2 + 2439*b - 1248.\nAnswer: 3*(b - 32)*(b - 1)**2*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 541830530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11405 (base 7) to base 15.\nAnswer: -d15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 105.41407326724.\nAnswer: 105.21407326724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -220*r + 1328. Let i be y(6). Solve 2*x - i = -s, x + 14*s - 9*s - 22 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6292474 to the nearest integer?\nAnswer: 2508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/3)\/r*r)**(-18))**(2\/11) assuming r is positive.\nAnswer: r**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15518 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.09 (b) -6 (c) -5 (d) -4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/13 (b) 0.04 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(162))\/sqrt(9))\/((2*sqrt(90)*2)\/sqrt(10))*3.\nAnswer: 15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52055 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 14 = 2*w, 5*a + 51 = -5*w + 56 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2476*n**5 + n**4 + 7*n**2 + 2*n - 3409.\nAnswer: 49520*n**3 + 12*n**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(216))\/((sqrt(30) - (sqrt(30) + sqrt(3630)))\/sqrt(10)).\nAnswer: -24*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (94 - 106) + -54 + 42?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 1, d: 1, x: 1, l: 1, a: 2}. What is prob of sequence aua?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 13*x + 41. Let n(a) = -4*a - 14. Let c(p) = 8*n(p) + 3*y(p). Calculate the remainder when c(0) is divided by 3*(2 + -1)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45010 divided by -1.\nAnswer: 45010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27518 or -27519?\nAnswer: -27518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 93511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-1)*11*33602695\/385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 - (30 - (-9 - -36))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 - 3*j**2 + j + 4. Let x(l) be the third derivative of -l**6\/120 - l**5\/60 + l**3\/6 + 28*l**2. Give -u(q) + 3*x(q).\nAnswer: -q**3 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1351229, 77, 4, 1\/2 in decreasing order.\nAnswer: 77, 4, 1\/2, -1351229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -4410205, 0.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61162963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*((2 + sqrt(396))**2 - sqrt(396)) - (sqrt(396) - (sqrt(396) - (sqrt(396)*6 + sqrt(396))))**2*-4).\nAnswer: -18*sqrt(11) + 77217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(4\/2 + -1). Suppose y - o = -11. Let w = y - -18. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -216740880 + -4?\nAnswer: -216740884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 649 = 48*t + 11*t. Calculate the greatest common factor of 1595 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1195 - -1207. What is the remainder when 113 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61967, 61976, 61989, 62006, 62027, 62052, 62081?\nAnswer: 62114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 844 + -837. Solve 2 - k = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w + 72. Give s(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2*y + y**2 + 1124*y**3 + 298*y**3 - 304*y**3.\nAnswer: 1118*y**3 + y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 4*7\/4. Let i(t) be the first derivative of 0*t**5 + 0*t**4 - 4\/3*t**3 + 0*t - s + t**6 + 0*t**2. Find the third derivative of i(z) wrt z.\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 5:39 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-5)\/(10\/3). Let c(r) = 7*r + 0 - r**3 + 2*r**2 - 1 - 7*r**2 - b*r. Suppose 0 = n + 11 - 5. What is c(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-664)\/(-171) - 4) + 10\/(-95)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.5, -2399, -11\/27, 2, -5, -0.15, 4?\nAnswer: -2399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 15 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**4\/12 - 23*c**3\/6 + 11*c**2\/2 - 369*c. Calculate k(23).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0294 and 112.\nAnswer: 111.9706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 589 = -491. What is the hundreds digit of (24\/32)\/((-1)\/v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2341 is divided by 246?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 8*o = 3*o + 24, -4*o = -3*r - 4. Suppose -n + r*w = -0*w - 5, 0 = -2*n - 2*w + 10. Calculate the highest common divisor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -37*f - 1. Let z(t) = 39*t + 1. Give 4*m(b) + 3*z(b).\nAnswer: -31*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 4:58 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521 = 5*a + 569. Let d = -148 - a. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Suppose -154 = -0*m - c*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2)\/(75\/180)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1436*i**3 + 4 - 1434*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, a: 2, t: 2}. Give prob of sequence aq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*s + 10, -3*s + 16 = 4*g - 6. Suppose s*y - y = 0. Is 1\/6 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3909 is divided by 60?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/2 of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1178, 0, 2 in increasing order.\nAnswer: 0, 2, 9, 1178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -171016, -342029, -513042, -684055, -855068?\n\"Answer: -171013*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6811 + 2008 = -3*j. Let x = -30431\/19 + j. Which is bigger: 0.2 or x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 3510688.17\nAnswer: 3510687.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 87373*36\nAnswer: 3145428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 11. What are the prime factors of l(8)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-29)\/s**(3\/16)*(s\/s**15*s)**3 assuming s is positive.\nAnswer: s**(-1091\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 439026, 878054, 1317082?\nAnswer: 1756110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -13. Suppose -v = 3*l - 2, 4*v + 44 = -l + 2*l. What is the units digit of c\/v*(-30)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73513.02l?\nAnswer: 73513020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1194147, 1194149, 1194151, 1194153, 1194155?\nAnswer: 1194157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssr when four letters picked without replacement from {r: 5, s: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2080 and 0.07?\nAnswer: 145.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 - 2*k**3 + 3*k**3)*(0*k + 0*k + 6*k**2) + 27*k**2 + 16*k**5 - 27*k**2.\nAnswer: 40*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91061285 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 - 6 = 0. Let x(d) = d**3 - 3*d**2 - 4*d + 4. Let p be (-207)\/(-45) + 6\/(-10). Calculate the remainder when x(p) is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(35)\/((sqrt(5) + sqrt(15)\/sqrt(3))*2) + -4)**2 + 1.\nAnswer: 10*sqrt(7) + 447\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000100000100100111110 (base 2) to base 3.\nAnswer: -11012022210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -44\/9, 2, 0.5, 3\/5, 301, 4\/3 in decreasing order.\nAnswer: 301, 2, 4\/3, 3\/5, 0.5, -44\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2154 + (-3)\/(-2 + 5). Let d = -1520 - f. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 87 = 172 - 74. Are -30\/227 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/(-28) + (-9)\/(-3).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141891 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13629*t**2 - 13629*t**2 + 58*t**3.\nAnswer: 58*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -40. Let w = 26.0000058 + m. Round w to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/9 (b) -2 (c) -2\/9 (d) 1 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*o - 1030 = 1270. Which is smaller: -4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 24619*v. Let d(s) = -16*s**2 - 4*s. Determine n(d(y)).\nAnswer: -393904*y**2 - 98476*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(1650\/99))\/((-6)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a minute in seconds?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68? (a) 0.4 (b) -1 (c) -0.0056\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/12)\/((-46)\/(1954080\/(-60))).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 238*m - 1. Let b = -7 + 8. Let t be k(b). List the prime factors of 2\/(-7) + t\/21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g + 12 - 30. Suppose g*d = 5*d - 8. Factor 0 + 1\/4*b**5 + 0*b**d + 0*b**2 + 0*b + 0*b**3.\nAnswer: b**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) 0.021 (c) 4 (d) 2 (e) -0.3 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**2 - 52*t - 67. Let h be o(-8). Let b(u) = u - 48. Calculate b(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 57*j**2 + 402*j + 74. Calculate l(8).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(48) + sqrt(3))**2 - sqrt(9)\/sqrt(48)) + (1*1*sqrt(3) + sqrt(12)\/sqrt(4) + 5)**2 + 3 + 1*sqrt(432)*1 + (sqrt(432)*1*5)**2.\nAnswer: 127*sqrt(3)\/4 + 10987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, p: 2, r: 5}. What is prob of picking 1 p and 3 q?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15345.2 - 15345. Sort -1.6, 5, l, -19, 0.\nAnswer: -19, -1.6, 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-13)\/(-260)*25)\/((-10)\/(-16)). Let b(s) be the second derivative of 0 - j*s**2 - 1\/2*s**3 + 6*s - 1\/12*s**4 + 1\/20*s**5. Calculate b(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrwwwrwkrwwrwr. What is prob of picking 2 w?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40*16\/(-480))\/(28\/(-30)))\/(8\/308).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 772 - 245. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/8 - 15\/(-20). Let a = 2 + b. Solve -2*t + 10 = 0, a*x - 4*x = -5*t + 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -17. Solve -2*s - 6 = 0, -i*s = -2*c - 2*s + 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 94696.33 millilitres?\nAnswer: 94.69633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -773 + -1349. Let z = -8531\/4 - n. Find the common denominator of -12*36\/(-40) + -4 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -1 - 21. Let j = -4 + w. Suppose 9 = 4*v - j. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150072 (base 9) to base 7\nAnswer: 531662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161 + -162. What is the units digit of (-15 - -79) + (x - (1 + 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 80*y + 27. Let x be z(-3). Let k = -4049\/19 - x. Which is the second smallest value? (a) 0.2 (b) 2 (c) -4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -1\/176640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**4 - 1400*g**3 - 6347*g**2?\nAnswer: 72*g - 8400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (24 - -28) + -27.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 271 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -1\/7 (b) -8\/5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a0b (base 13) to base 8.\nAnswer: -13717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159046788?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -1, -0.116?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + z. Let r(b) = b**3 + 14*b**2 + 20*b - 47. Let f be r(-12). Let h(u) = 40*u**2 + 25*u. Calculate f*h(x) - 25*m(x).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883.6391km to meters.\nAnswer: 883639.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-512)\/(-24) + -2 + 16\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(0 + 1616\/(-24)). Let c = 1684 + a. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 11*u**2 - 10. Let v(o) = 2*o**3 - 13*o**2 + o + 11. Let b(w) = 5*p(w) + 4*v(w). Find the second derivative of b(f) wrt f.\nAnswer: 18*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 - 9\/2*c**2 - 6*c.\nAnswer: -3*(c + 2)*(3*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6719\/5 + -1341. What is the nearest to i in -4, -2\/9, 8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01242 from 1.4.\nAnswer: 1.38758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 32*u + 123. Calculate s(28).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-10) + 39\/15. Put -1, a, -3 in descending order.\nAnswer: a, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*h**2 - 2*a**3*h - 141*a**2*h**2 - a*h**2 - 121*a*h wrt a?\nAnswer: 12*a*h**2 - 12*a*h - 282*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w**(-6)*w*w*w)\/w))*w**3)\/(w*w**(-1\/2))**(-2\/15)*(w**(-6)*w*w*w*w*w*w*(w*w**(-2))\/w)\/(w**(-1\/6)*w**(1\/15)) assuming w is positive.\nAnswer: w**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 12) to base 3\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -272444856 and -88424.\nAnswer: -272533280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1860, -1903, -1982, -2109, -2296, -2555, -2898?\nAnswer: -3337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646.313 weeks in days?\nAnswer: 4524.191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*x + 1876, 8*i + 2*x - 1896 = 4*i. What are the prime factors of i?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/34 + 1\/(119\/133). Which is smaller: -7 or h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 25 = 3*z. Suppose 4*q - f - 11 = 0, -4*q - z*f = 2 - 43. Suppose -5*b - 3*l + 35 = 0, 0 - 1 = -q*b + 3*l. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 7*t**2 + 39)*(3*t**2 - 2*t**2 - 3*t**2 + 1).\nAnswer: -14*t**4 + 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f - 3. Let b(t) = -2*t**2 - 4*t - 2. Let w be b(-2). Let z(y) = -3*y + 1. Let p(g) = w*k(g) - 7*z(g). List the prime factors of p(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1683 + 1685. Which is the closest to 1\/3? (a) 0.2 (b) 0 (c) -0.035 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222549899 is divided by 64?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -212*l**3 + 105813012*l**2 + 1996472*l = 0. Calculate l.\nAnswer: -1\/53, 0, 499118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 176258 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 851675399 to the nearest integer?\nAnswer: 29183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 + 2*p**2 - p + 4. Let l be o(3). Find the third derivative of -m**4 - 3*m**4 - 19*m**2 - 100 + l wrt m.\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480588895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1048725, -1048725, -1048729, -1048737, -1048749, -1048765, -1048785?\n\"Answer: -2*w**2 + 6*w - 1048729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563888.06 microseconds in weeks?\nAnswer: 0.00000258579375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1917, -1916, -1915?\nAnswer: -1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4001999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (4 + 2) - 17\/391*65.\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -142 - -77. Let n = -73 - y. Let s be (-38)\/(-8) + -5 - 98\/n. Solve -c = -3*p - s, -4*c = -4*p - 2 - 14 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 350*s + 1516 = -346*s, x - 4*s = 468. Calculate the least common multiple of x and 992.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*v + 31 - 101 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4227, 4300, 4421, 4590, 4807?\nAnswer: 5072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -548 divided by 4\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(2) + -3)**2*-2.\nAnswer: -40 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2 = 3*c, 3*c - 4*g = -0*c + 20. Suppose -q + 4*j = -0*j, -5*j = c*q - 21. Put 2, q, 3 in ascending order.\nAnswer: 2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 5*p**2 + 6*p + 9. Let r be n(6). Solve -5*m = 3*k - 13 - r, -m = 2*k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 164, 11\/5 in ascending order.\nAnswer: 0.1, 11\/5, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 14. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24755 equal to 49509\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/158015 and -2\/517.\nAnswer: 7426705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -27*s**2. Let f(g) = 10*g**2 + 3 - 8*g**2 - 3. Give i(f(m)).\nAnswer: -108*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.59 + 7.59. Sort t, 1\/9, 1\/2, 1 in ascending order.\nAnswer: 1\/9, 1\/2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3561633 and 603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 3*m - 4*p, -5*p + 25510 = -2*m + 25469 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 3\/4*u**4 + 0*u - 6*u**3 + 0*u**2 + 108 - 1\/6*u**6 + 4\/5*u**5. Find o, given that h(o) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12618144 at most as big as -12618146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 242261 + 4?\nAnswer: 242265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/20)\/((-2)\/6) - (5 - 2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by -49?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3517, 3522, 3529, 3538, 3549, 3562, 3577?\n\"Answer: j**2 + 2*j + 3514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6148513 divided by 878359?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198720 and 2300?\nAnswer: 993600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -173201, -173173, -173095, -172943, -172693?\n\"Answer: 4*z**3 + z**2 - 3*z - 173203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3550 - 1683. List the prime factors of y.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -215 (b) 15.6 (c) -6\/5 (d) -0.04 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + 5*x - x)*((2 + 1 - 8)*(0*x + 0*x + 2*x) + 4 + 2*x - 4)*(2*x - 1 + 1) to the form q*x**2 + g + l*x + f*x**3 and give f.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20853339.\nAnswer: 3, 13, 17, 71, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15377 - 15375. Determine m, given that 3\/2*m**p + m - 1\/2 = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 12*l**2 - 12*l - 5. Let u be x(-11). Let m = u - 0. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/8, 5\/3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - k - 2*k**2)*(-6234*k + 2261 - 2261) + 2*k**2 + 6*k**3 - 4*k**3 + 0*k**2 as u*k**3 + i + p*k**2 + q*k and give u.\nAnswer: 12470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**16\/w*w**(-16))**(1\/46))**46 assuming w is positive.\nAnswer: 1\/w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -t + 125, -4*t + 3*t + p + 117 = 0. Calculate the common denominator of (t\/(-44))\/(1\/(-18)) and (-274)\/(-360) - 2\/5.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 45\/7 - (-6)\/(-14). Let u be x\/14 + (-66)\/(-42). Find the first derivative of -u - 3 + d + 5 + 1 wrt d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 13, 0, 3, 1 in decreasing order.\nAnswer: 44, 13, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s + 16 = 0. Let m = s + 4. Suppose -u + 4 = -m. What is the lowest common multiple of u and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.7 - -24. Let n = -11.169 + p. Let g = n + -1.561. What is g rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/29 greater than 4617872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1884.2 and -0.06?\nAnswer: 113.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 794 - 793. What is the biggest value in b, -0.2, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -17*u**5\/10 + 24*u**3 + 5*u**2 + u + 91. Let s(r) be the second derivative of c(r). Find the first derivative of s(k) wrt k.\nAnswer: -204*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c - 2. Let n(v) = 60*v - 14. Let o(d) = 28*m(d) - 4*n(d). Let f(r) = 58*r. What is o(f(q))?\nAnswer: 696*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/7, -2, 606, -339?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0, -2\/11, -1.4, 6\/7?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 0 + 0 + 1. Let v(z) = 8*z - 4. Let m(y) = 2*t(y) - v(y). Differentiate m(a) with respect to a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2166, 8024, 17576, 30822, 47762, 68396?\n\"Answer: 1847*u**2 + 317*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 7\/5 (b) -1218 (c) 0.3 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 9\/(153\/(-28)). Is 1 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*p + 54181, -p - 2*k + 1350 + 25716 = 0. What are the prime factors of p?\nAnswer: 2, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 444130 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 56\/9) + (-86)\/(-144).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p + 91. Let l be h(0). Let n = 138 - l. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -2)\/(-3) + 7. Suppose 2*c + 16 = s*c. Find the second derivative of 3*t + 0*t + 7*t**c - 4*t wrt t.\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1833 + -603. List the prime factors of b.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwwwwwrrw.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -1\/3, 2729, -1, -0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-27)\/(-81)*87*(-6)\/12.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/15))**4 assuming n is positive.\nAnswer: n**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + p + 2*p - 2*p + 2*p + (3*p - 6*p + 2*p)*(1 + 0 + 0))*(413 + 451 - 519).\nAnswer: 690*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-8)*b)*b*b\/(b*((b\/b**(-1))\/b*b*b)\/b)*b\/(b\/(b*b**(-6)\/b))*b*b*((b**(-7)*b)\/b*b)\/b)**(22\/7) assuming b is positive.\nAnswer: b**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*v - 455*v + 21950 = -335*v for v.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151755 by 30351.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**3 - 139*x**2 - 92*x - 93. Let v be a(47). Solve 7 = -2*q + 2*u + v, -u = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**3\/3 - u**2\/2 + 4*u + 2066. Let d = -11 - -7. Calculate f(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1))**(3\/17))**(-33)\/(v**(-8)\/(v\/(v**(-2\/9)\/v)))**30 assuming v is positive.\nAnswer: v**(15046\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20813196 divided by -12.\nAnswer: -1734433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/105*(40 - 2173\/(-106) - 56)?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*u**2 - 32*u**2 - 29*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 823381613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6540761 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -612.\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62036*n*q - 124814*n with respect to q.\nAnswer: -62036*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 14664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 1\/2 (c) -4041\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 752201518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*x. Let r be (-16)\/(x + 3\/(-18)). Let s = 18 + -6. What is the greatest common factor of s and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = u. Let x = -8597\/144 + 584\/9. Find the common denominator of (u\/(-16))\/((-8)\/(-106)) and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1165 + -1?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 9:59 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a2 + -6?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4735*f**3 + 2669*f**2*h**2 + 83838*h**2 - 95*h wrt f?\nAnswer: 14205*f**2 + 5338*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64656 and 7712.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(5 + sqrt(242)*3))**2 - (((sqrt(242) - 1*sqrt(242)*-3) + 6*(2*sqrt(242) - sqrt(242)))*-3)**2.\nAnswer: 106920*sqrt(2) + 495972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 299126975 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: Let l be (-1 - (-17)\/2)*(-17 - 6654\/(-390)). Suppose i - 4 = z, -5*i + 16 = -z - 2*z. Is i less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -16*c**2 - 8*c + 5. Let l be f(7). Let v = -188 - l. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, p: 2, g: 1}. Give prob of sequence pgzz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -i + 31, -i - 2*h + 12 + 23 = 0. Solve 3*w + 11 = -w - 3*d, 5*d + i = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0 - (-79 - -74)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29903 divided by 55\nAnswer: 29903\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85847066.\nAnswer: 2, 83, 517151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -49*g**2 + 15104*g - 3569. Calculate l(308).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from danddkjainaadadadn. What is prob of sequence andk?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 92\/23*(-14)\/(-4). Let x(c) = 23 + 3*c + 13*c - 13*c**2 + q*c**2. Let j be x(-17). What is the highest common divisor of j and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 3 - (-231)\/14*14. Let y = 238 - a. What is the remainder when 11 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((2\/(-6))\/1)\/(-1). Let x(h) be the second derivative of h + 0 - h**2 + g*h**3. Differentiate x(o) with respect to o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19844*d + 1959*d + 7020*d.\nAnswer: 28823*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1244*a - 6*a**3 - 12*a**2 + 3*a**4 - 407*a + 9 - 416*a + 0*a**3 - 415*a.\nAnswer: 3*(a - 3)*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.5, -0.19, 4 in ascending order.\nAnswer: -7.5, -0.19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 3 + 6*x - 2*x**2 + x**2. Let k(m) = -m + 4. Let f(b) = -b + 3. Let y(i) = -5*f(i) + 4*k(i). Determine -d(q) + 4*y(q).\nAnswer: -q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -2.1\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 - 11\/(-198)*-3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(8 - (-589)\/(-95))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 27*m - 41993 - 85*m + 42281. What is o(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 53. Let d be ((-11)\/a)\/((-2)\/(-4)). Let x = 1.6 - 1.7. Is x <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/2 - 0)*(1 - -5). Suppose -n*a - 132 = -12*a. Calculate the remainder when 131 is divided by a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/3 + 467*h\/3 + 14322 = 0. What is h?\nAnswer: -341, -126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0)*(-1)\/(-2). Suppose 2*k = t, -5*v + 9 = -2*v + 2*k. Suppose -v*q + 2*q = 2*s - 1, -8 = -3*q - s. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11968512 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (559 - 564 - ((-3 - 1) + -1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**2 + 15*b + 2. Let p be s(-5). Let h be p\/9 + -4 + -127. Is -126 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from yrrfrxyy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6*r - 1027 = 0. What is the highest common factor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -208 + 208.2. What is the closest to 0.2 in k, 10, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p - 1 - 5*p + 6*p**3 + p**4 - 19*p**3 as w*p + t*p**2 + y*p**4 + n + x*p**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/17049977 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 18, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 32b3 (base 12) to base 5\nAnswer: 134412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3751965 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: Sum 2519765159 and -1.6432.\nAnswer: 2519765157.3568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54 + 1\/(1\/3). Let z = -21 + y. Let c = 13 + -7. Calculate the highest common factor of c and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 j when four letters picked without replacement from {b: 5, d: 9, j: 3, p: 2}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 - 6?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i + 33. Let y be j(10). Suppose 0 = 2*u + 5*c - 710, -1079 = -3*u - y*c - c. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - d + 1 + 4*d + d - 3*d - 4 - d + 4 + 2*d - d + 0*d + 2*d - 4 + 4 + d + 0*d - 3*d + (0 - 1 + 0)*(2 + d - 2) - 3 - 2*d + 3 + 502 + 280*d - 502.\nAnswer: 278*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*w - 1800 = 0, -20*y + 4*w - 930 = -22*y. Is 35 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217835937 and 297.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2985136769?\nAnswer: 21961, 135929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 615 and 130855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28, 40, 82, 172, 328, 568, 910, 1372?\n\"Answer: 3*z**3 - 3*z**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 4*s**2 + 93*s**2 + 2 + 2 as j*s**2 + w*s + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a**3*n + 10296*a**3 - a*n - 131299*n + 2 with respect to a.\nAnswer: 18*a**2*n + 30888*a**2 - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.125 + 22.3782?\nAnswer: 22.2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 5 + -4 - (16 + -24) - -21?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3697*g + 928*g + 2075*g - 282*g to the form f + r*g and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from balababbmm. Give prob of picking 1 b and 1 m.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 634 and -80?\nAnswer: -50720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673077.\nAnswer: 3, 224359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 0.06 (c) 0.4 (d) -7 (e) -73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 855610399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 14 = 2*o, -2*b + 5*b - 3*o - 3 = 0. Solve -b*y - 1 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3085*-9\nAnswer: -27765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 461530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/4 - 6) + 100. Calculate the greatest common divisor of w and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -766*i**5 + 318*i**5 - 794*i**5 - 2*i**5 + 3*i**5 - 3*i**5 + (0*i**2 + 5*i**2 - 4*i**2)*(i**3 + 0 + 0).\nAnswer: -1243*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, 4, -21 in ascending order.\nAnswer: -21, -14, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 898400083 to the power of 1\/2, to the nearest integer?\nAnswer: 29973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 348 + -346. Suppose -2*t = -d - 4, 0*t + 5*t - v*d - 11 = 0. Let y(r) = 2*r**2 - 3*r - 2. Determine y(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((-2*sqrt(91) + sqrt(91))*4)\/(sqrt(175)*1))**2.\nAnswer: 308\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1294 - 1281. Let c = 0.3 + -0.5. Let x = 0.1 + c. Is x less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 2*j - 4*j)*(7 - 14*j**2 - 16*j**2 + 25*j**2).\nAnswer: 10*j**3 + 20*j**2 - 14*j - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9767\/7 + 1395. What is the second smallest value in m, -0.09, -6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (273\/(-26))\/((1421\/56)\/(-29))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 17 = -3*c + 5*m, 3*m = c - 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*x + 95, 5*x + 19*h = 22*h + 90. Solve -169*m = -162*m - x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23999399 to the nearest integer?\nAnswer: 4899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*c - 8 + 25 - 9 + 44*c**2.\nAnswer: 44*c**2 - 104*c + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, -12, -50, -122, -240, -416, -662?\n\"Answer: -2*q**3 + q**2 - 5*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1735 - -1737.2. Is 1 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56*g**2 - g + 163 wrt g.\nAnswer: -112*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150.9 + -16.1. Let h = l - -181.6. What is h rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28d04 - 19?\nAnswer: -28d1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -119 - -128. Calculate the least common multiple of 5 and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 65 - -5?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443746282?\nAnswer: 2, 7, 31696163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 114100*0.009\nAnswer: 1026.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 5*x + 3. Let r be v(-4). Let t = 29\/36 + -751\/396. Let f = t + 15\/44. Which is the nearest to r? (a) -3\/2 (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3 + 9 = 0. Let k(h) = -3*h + 19. Let w be k(5). Suppose -w*q + 9 = 1. Calculate the smallest common multiple of x and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*o + 16 = 82*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 7 = -6*l + t, 4*l - 3*t - 26 = 0. Suppose -212000 = l*b - g - g, 3*g = 0. What is b rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - 1)\/(16\/(-200))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 1105114?\nAnswer: -1105116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -185573*z. Let h(c) = 24*c + 1. What is v(h(f))?\nAnswer: -4453752*f - 185573","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/61, -0.5, -10?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*b - 10, -4*o + 2*b - 18 = o. Let d be (-21)\/9 + o\/3. Let y be ((-6)\/d)\/((-14)\/21). Let v(m) = m**2 + 3*m - 4. Determine v(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12012*b**2 + 16405?\nAnswer: 24024*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**20*n)\/n))\/((n\/n**1)\/n*n) assuming n is positive.\nAnswer: n**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.198 to one decimal place.\nAnswer: -23.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/12)\/(2\/8). Let w(s) = -g*s - 4*s + 6*s - 2*s + 9. Let z(k) = 2*k - 8. Give -5*w(a) - 6*z(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/23)\/x**(-1\/5) assuming x is positive.\nAnswer: x**(18\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 15*g + 3. Suppose 11*x = -81*x + 1380. Give y(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429664 = 166*r - 50*r. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -21. Put o, 0.3, -0.3 in decreasing order.\nAnswer: o, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 80*n + 230. Let d be x(-3). Suppose 6*r + 2*r = -8. Suppose -m = 1 - 3. Sort m, r, -3, d in decreasing order.\nAnswer: m, r, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.42 + 542.58. Let m = -542.5 + l. Put -7, -4, m, -3 in decreasing order.\nAnswer: m, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 1:18 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4339.499l in millilitres?\nAnswer: 4339499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 0.2, 1\/6, -1968, 32\/17, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46712214 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i - 537 + 527. Which is smaller: -21\/1502 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 1:45 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-15 + -19) - (-118)\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22703885, 22703890, 22703897, 22703906, 22703917, 22703930?\nAnswer: 22703945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 636 - 3847\/6. Find the common denominator of u and -13\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1070112 and 1337640?\nAnswer: 5350560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g + 26*g + 4 = 0. Which is greater: g or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 5*a**2 + 9*a + 14. Determine v(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 4*p - 145. Suppose 2*q - 11 = 2*r + 3, 25 = -3*r + 2*q. What is the smallest common multiple of 40 and s(r)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from yryrkrkkrrrk.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55320)\/83902*7\/(-5)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2000504540 + 529837.\nAnswer: -1999974703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23244 + 5740 + 6031 + 5737 - 8*l + 5736.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 10 = 5. Suppose 2*o + 38704 = 2*l - 27286, -4*l + 132025 = a*o. Round l to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -127, -182, -241, -304?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1460 + -671. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k**2 - 21*k + 14*k + 26 + 17*k. Is m(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 13.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 0.012 (b) 0.1 (c) -0.5 (d) -3\/4 (e) 2\/3 (f) -4\/549\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = v + 9, 0*h - h - 2*v - 4 = 0. Suppose 115773 = 184*f - 133*f - 24885. What is the third derivative of 8*r**3 - 2758 - 27*r**h + f wrt r?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4246 - -4243. Put 5, 2\/9, 0.05, b, -3\/7 in decreasing order.\nAnswer: 5, 2\/9, 0.05, -3\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-3)*g)\/g*g)\/(g**7*g*g*g))\/(g\/g**2*g*g)**(-20) assuming g is positive.\nAnswer: g**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*x - 3 = 0, h + x = 1 - 0. Suppose h = -0*s + 5*s - 15. Let p be (-1 - (-8)\/10)*2. Which is the second smallest value? (a) s (b) p (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -40704 equal to -40707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**5 + 1591*o**4 + 210674*o**3 - 212266*o**2 + 2. Let b(v) = -v**4 + v**3 + v**2 + 1. Let t(h) = 2*b(h) - q(h). Suppose t(w) = 0. Calculate w.\nAnswer: -266, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 4 - 4)*(-26 + 26 - 6*b**3).\nAnswer: 12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 3*y**2 + y + 2. Let o(d) = d**3 - 18*d**2 - 134*d. Let j(g) = 6*i(g) - o(g). Differentiate j(s) with respect to s.\nAnswer: -21*s**2 + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 6:31 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 274, 402, 604, 904?\nAnswer: 1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, t: 5, g: 5, x: 1, w: 3}. What is prob of sequence rwr?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2415.9 - -2416. Which is smaller: 3.14 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -10. What is the remainder when 44 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553616 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 790 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36784317 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 6*h**2 - 8*h - 4. Let a(y) = y**2 + 8*y + 5. Let g be a(-6). Determine z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 18*w + 14. Give a(-12).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 7:50 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 203 - 320. Let x be 1*-1 - d\/104. Sort -1\/5, -0.5, x in increasing order.\nAnswer: -0.5, -1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 0*c + 2*c + 6 + 6*c - 2*c. Give y(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 1737 = 3823. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + 1 - (32 + -35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*76\/(-20)*64. Let n = o + -22033\/90. Find the common denominator of n and 29\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*q = 2*q + 116, -8 = -4*q. Calculate the remainder when 70 is divided by s\/32 - 51\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9678179?\nAnswer: 7, 1382597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -5124, -7\/4, -2\/5.\nAnswer: -5124, -7\/4, -1, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - f. Let r(g) = -37*g - 260. Let z be r(-7). Let n(u) = 22*u**2 - 38*u - 132. Let a(v) = z*n(v) + 6*l(v). Determine m, given that a(m) = 0.\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -913\/50 > -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1864 - -0.0136. Let u = 33 + -29. What is the nearest to r in -0.09, -1\/4, u?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/25 + 2\/5. Let z(p) = 4*p**2 + 1 - p - 5*p**2 - 7 + 0*p. Give z(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 2*t - 1. Let g be w(-4). Suppose 3*o + 0*o - 18 = 0. Suppose -g = -l + o. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371886.\nAnswer: 2, 3, 61981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from lflllllllllll.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -51 + -9 + -14 + 40 - (2 + -4 + 5)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*b - f + 15, 0 = 4*b - f + 7. Let v be (-44)\/(-3) - 13\/(-39). Let h = v + -15. Sort h, b, -2 in descending order.\nAnswer: h, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 58, 233, 524, 931, 1454?\n\"Answer: 58*o**2 + o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*j**2 + 9*j**2 + 69 - 84 wrt j?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11317, -22566, -33803, -45022, -56217, -67382, -78511?\nAnswer: -89598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/35)\/(1*(-4)\/56)*1\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 7*i - 6*i - 6030, -5*d + 3*i = -30158. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2847*j - 24120. Give o(8).\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2 + 78*v - 864 = 0. Calculate v.\nAnswer: -48, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m - 175*m**2 - 40 - 173*m**2 + m**3 + 347*m**2. Let n be l(4). What is the greatest common factor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {e: 5, f: 15}?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 1\/180*d**6 + 0 - 1\/24*d**5 - 8\/3*d**3 - 7*d**2 + 0*d + 1\/12*d**4. Let w(p) be the first derivative of g(p). Factor w(s).\nAnswer: (s - 2)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3073920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 2*f - 1. Let j be 10\/45 - 38\/9. What is the remainder when s(-4) is divided by ((-24)\/(-3))\/(j\/(-6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -238? (a) -3 (b) 5\/2 (c) -1\/3 (d) -4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-7) + 4\/14. Suppose 0 + 4 = -4*p, p + 15 = f*k. Suppose 5*u = 0, 3*l + 60 = k*l - 3*u. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153 - 5) + (-857 - -777)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/72 + (-6)\/8 - -671. Suppose 4*a + 119 - y = -3*s, -a = -5*s - 155. Is 35 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/((-351)\/45))\/(2\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16864*-0.2274\nAnswer: 0.038348736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 8*r**2 - 2*r - 10. Let n(f) = -f - 3. Let j be n(-10). What is the remainder when l(j) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1637476 divided by -818738\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.8 + -5.8. Let z = 0.07 - 4.07. What is the nearest to 0.1 in z, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-1))\/((-27)\/153).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/(x*x**(-25))*(x\/x**(-3\/4))\/(x\/(((x\/(x\/x**(3\/23)*x)*x)\/x)\/x)))**(2\/47) assuming x is positive.\nAnswer: x**(35\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(2\/11)\/j)\/j)**(-3\/7))**25)**23 assuming j is positive.\nAnswer: j**(34500\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d + 21. Let n be f(6). Suppose -o = x - 315, -5 = n*x + 4. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -4*w - 12, -c + 19 = -2*c - 5*w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/5 + 20744*g\/5 + 46207904\/5.\nAnswer: -4*(g - 6868)*(g + 1682)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**4\/12 - 2046*z**2. Let j(u) = -316*u. Calculate a(j(y)).\nAnswer: 632*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbebssbbdpeeppbb. What is prob of picking 2 p?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -24*l - 1185. Calculate v(-61).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 856081 - 852718.751. Let o = 3364 - x. What is o rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 + -122. Put -2, -3, -4, d in ascending order.\nAnswer: -4, -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-88)\/6*(-2515 - 23)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 453575815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 4*m. Suppose 2*r + p + 4*p + 3 = m, 0 = 2*r - 2*p - 4. Let l = -0.1 - 0.1. Which is the third smallest value? (a) l (b) r (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 63 in -1\/3, 5, -0.5, 2\/7, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110150 = -203*t + 700474. Is 2905 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j = -33 - 30 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 16\/(-17) - -1. Suppose 3*r = -r. Suppose q = -2*f + 2 - 1, r = 4*f + 4*q. Is f smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.1 - -13. Let g = 0.1 + k. Put -1, g, -1.4 in increasing order.\nAnswer: -1.4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.3 - -22.7. Let m = 30.4 - l. Is m greater than or equal to 2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3417582 and 2685243?\nAnswer: 37593402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -217*h**2 + 0*h + 17\/42*h**5 + 0 + 31\/735*h**7 - 29\/140*h**6 - 1\/1176*h**8 - 1\/3*h**4 + 0*h**3. Factor s(n).\nAnswer: -2*n*(n - 28)*(n - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4 - 12*d**4 + 10*d**2 + 5*d**4 wrt d?\nAnswer: -216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(153) - ((sqrt(153) + 1)*-4 - sqrt(153))) + (sqrt(153) + 1 - sqrt(153)) + -2 + sqrt(153) + 5)**2*-3.\nAnswer: -22638 - 882*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 63493.43 minutes?\nAnswer: 3809605800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9)*(-4)\/6\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1542.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y + 30 = 0. What is the remainder when 41 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 - 3 = -7*j. Let a(z) = 3*z + 21 + 24 - j. Let y(v) = v**2. Calculate a(y(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 4:52 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 283 - 94. Suppose -14*o - 7*o = -v. Let l(h) = h**2 + 4*h + 2. Let u be l(-3). Sort 2, u, o in decreasing order.\nAnswer: 2, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0451559 nanometers to micrometers.\nAnswer: 0.0000451559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -503223 (base 7) in base 16?\nAnswer: -14cbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -429ba - -1?\nAnswer: -429b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 12:46 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from jcctjbtttblj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5\/5 + 84*i**4\/5 + 1002*i**3\/5 + 4792*i**2\/5 + 1992*i + 7488\/5 = 0.\nAnswer: -26, -8, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263107801 to the nearest integer?\nAnswer: 16221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -5. Suppose 4*x = -5*n - 12 - 4, 4*x = n - 16. Sort 0, g, x in ascending order.\nAnswer: g, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5988*v**2 - 1626*v + 1626*v as j + t*v + k*v**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -555, -1168, -1783, -2400, -3019, -3640?\nAnswer: -4263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -28\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from pphhhphhhhhhhp.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -78 (b) 9 (c) -3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mht when three letters picked without replacement from {t: 1, c: 1, h: 1, x: 1, m: 1, a: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -366, -366, -364, -360, -354, -346, -336?\n\"Answer: y**2 - 3*y - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 259689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 7*a**2 - 12*a + 114. Let n be j(5). Solve -7 + 2 = 3*d - n*y, -5*d = 5*y + 20 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1827109\/93)\/((-6)\/(-18)) - -8.\nAnswer: 3, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 457 divide 438608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-45) - (-44)\/(-55)) + 18 + (-700)\/36?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 3\/(4 + -1). Let d be 2\/3*93\/v. Suppose 0 = 4*c + d - 171. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b - 6. Let z(r) = -7*r + 18. Let h(p) = -26*p + 57. Let g(u) = -2*u + 2. Let w(f) = -3*g(f) + h(f). Let y(n) = 6*w(n) - 17*z(n). Give l(y(d)).\nAnswer: -6*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 5*w + 2*r + 6 = -10*w, 4 = 8*w - 25*w + 6*r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**3 + 35*q**2 + 60*q = 0 for q.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -178 - -186. Let u(y) = -r + 527*y**3 - 525*y**3 + 8 + y. Give u(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(6) + sqrt(8)*2)**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**22)\/(x*x**22*x) assuming x is positive.\nAnswer: 1\/x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/3 + 6\/5. Let x(i) = -i - 4. Let p be x(-3). Let y be (3\/6 + p)*0. Which is smaller: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139322.550535 - 139322. Let h = -0.55 + g. Round h to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 547.7 and -560.\nAnswer: -306712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6750894 by 2.\nAnswer: -3375447","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from tdgddteddtezdtzz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 505498518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/5)\/((1\/(-12))\/((-18)\/(-24)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 24356 = -24312. Factor 3\/2*w**f + 9\/2*w - 15.\nAnswer: 3*(w - 2)*(w + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 492 and 112422?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/121409 or -1?\nAnswer: 2\/121409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108*p - 113*p + 219*p + 15*p**6 - 12*p**2 wrt p.\nAnswer: 1800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01628123 to 5 decimal places.\nAnswer: 0.01628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102 is divided by 651.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**3 + 1558*p**2 - 1558*p**2.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 20 = 2*y. Solve -4*u + y*d = 12, 2*d + 24 = -4*u - 0*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 10:24 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 280 and 0.69.\nAnswer: 193.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 10. What is the remainder when u is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96805?\nAnswer: 5, 19, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15 + 3)*16\/(-3). Let z = h + -42. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (0\/(-2) - 0). Solve 0 = -i*y + 13 - 4, -4 = -2*l - 4*y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*d - 2 - 27. Which is the biggest value? (a) d (b) 3 (c) 11\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 312333 and 312333 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16131 + 12302?\nAnswer: 31433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 5*b**2 + 2*b - 7. Let w(c) = -2*c**3 + 10*c**2 + 3*c - 13. Let m(i) = 5*h(i) - 3*w(i). Let r be m(5). Which is bigger: 10 or r?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 + 42068*l**2\/3 - 447434116*l\/3 + 34991631680.\nAnswer: -(l - 20914)**2*(l - 240)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -29 + (41 - 59) + 92?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -30*p. Determine n(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -49, -2\/5, 1\/6 in increasing order.\nAnswer: -49, -2\/5, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 206 + -94. Let p = -47 + u. Suppose -4*q + p = -111. Calculate the highest common divisor of 66 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22195 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m + 5. Let u be o(7). Let w = u + 6. Sort -0.5, w, 4 in ascending order.\nAnswer: w, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -451 at least -452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(68)\/sqrt(4) + -3 - (5*(sqrt(1377) - sqrt(1377)*2))**2.\nAnswer: -34430 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2937272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k - 40. What is v(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**3 + 3*t**2 - t. Let p(z) = -4*z**3 - 2*z**2 + z. Give -2*l(b) - 3*p(b).\nAnswer: 6*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 17. Let j = u + 3.1. Let d = -7.3 - 1.7. What is the second biggest value in d, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*r**2 + 110*m*r*u**2 - m*u**2 - r**2 - 366*r*u**2 + u**2 with respect to m.\nAnswer: 2*r**2 + 110*r*u**2 - u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32553 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 39, 80, 157, 282, 467, 724, 1065?\nAnswer: 1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 0*p - 3*p + (4 - 6 + 0)*(2*p - p + p) - 2*p + 2*p - 2*p + 9 + 3*p - 9.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -50013*a**2. Let c(d) = 8*d**2. Determine k(c(n)).\nAnswer: -3200832*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*15\/120*7\/((-42)\/60) - -67?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6, -301, -4, 1, 0.2, -2929, -1\/3?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -71622411 divided by -357?\nAnswer: 200623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmbm. Give prob of picking 1 m and 1 b.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x = b + 1148, -2*b + 2308 = 2*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 8*s + 9. Determine b(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*y = 298703, -p - 3*y = p - 199148. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 4. Let o be t(9). Let x = -5 - o. Let c = 39 + x. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and 98.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56995369*y**5 - 2*y**2 + 8*y + 378294 wrt y.\nAnswer: -3419722140*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1061185*0.3\nAnswer: -318355.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1*z\/(z*z**(3\/4)\/z)*(z**(-2\/7))**(-45))\/((z**(-4)*z**(-6))\/(z**(-2\/11)*z\/z**(1\/9)*z)) assuming z is positive.\nAnswer: z**(71557\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -0.5, 0.082, 3\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -33*p - 1\/24*p**4 + 0 + 0*p**5 + 2*p**2 + 0*p**3 - 1\/24*p**6. Give x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -dcb716 (base 15) to base 16.\nAnswer: -a07e50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/9 of a day in minutes?\nAnswer: 7360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*u - 32. Let b be (1 + (u - 6))*1. Put 0, b, -0.2, 2\/9 in ascending order.\nAnswer: b, -0.2, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1 = -5*f, -f + 7 - 34 = 4*v. Let m be (-2)\/v - ((-231)\/36)\/(-7). Which is the smallest value? (a) m (b) 2\/11 (c) -3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 10 = k. Let s(d) be the second derivative of 0 + 0*d**2 - 1\/10*d**6 + 1\/42*d**k + 0*d**3 + 3\/20*d**5 - 2*d - 1\/12*d**4. Factor s(m).\nAnswer: m**2*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14762758 to the nearest integer?\nAnswer: 3842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -154*j + 1621192 + 11260754. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-15*21\/(-24696315)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1410.112l?\nAnswer: 1410112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11b + 2?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -709852 divided by 54604\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from {f: 1, k: 1, e: 1, j: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h = 4*h + 7035. Suppose -c - c = 5*x - h, -4*x = 5*c - 251. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16989 - -31954. Does 24 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**4\/12 + o**3\/2 + 2*o. Let d be m(6). Let g = -11 - d. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.05 (c) -5 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*x**5 + 9*x**2 - 9*x**3 - x**2 + 7*x**3 + x**3 wrt x?\nAnswer: 1020*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**25*((g\/g**(-5))\/g)\/(g\/(g*(g**(-5)*g)\/g*g)))\/(g**(-1\/9)*g\/(g\/(g*g*g**(-1)*g)*g*g))**(-3\/25) assuming g is positive.\nAnswer: g**(1949\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1226 - -482. What is the tens digit of (-16)\/(-6)*(q\/16 + 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 10 = -8. What is the highest common divisor of t and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -129*y**4 + 3*y**2 - 4*y - 28. Let p(a) = 386*a**4 - 8*a**2 + 11*a + 83. Let x(f) = 4*p(f) + 11*q(f). What is the third derivative of x(s) wrt s?\nAnswer: 3000*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128177*l = 127603*l + 15498 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*i - 1937 - 1107, -3*i = 4*o - 3039. Let z = 9055\/12 - o. Find the common denominator of 5\/2 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 50\/13*d**3 - 2\/13*d**5 - 12\/13*d**4 + 0*d - 36\/13*d**2 + 0 = 0.\nAnswer: -9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -645\/184426?\nAnswer: -645\/184426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 15*c - 234. Suppose -14*p = c - 110. Solve -p = 2*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -808, 0, 1\/91, -2\/3?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 3264732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4 = 0, -5*b - 4*z = -2 + 16. Let g be (-8)\/((-392)\/161) - b\/(-7). Solve -14 = -f + 3*n - g, 0 = -5*f - 5*n - 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 637 and 7644?\nAnswer: 7644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**4\/8 - 5*v**3\/6 + 7*v**2. Let n be z(-5). What is the units digit of ((-48)\/n)\/((-9)\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 50*m + 21. Is m equal to 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*j - 987 = 0, j - 5*j = -g + 183. Let a = -193 + g. Solve -2\/3*v**3 - 2\/3*v**a + 0 - 1\/6*v**4 + 0*v = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s + 3*s - 70. Let j(k) = -k + 4. Let l(o) = -o + 4. Determine s*l(y) - 6*j(y).\nAnswer: y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*b**4 - 7*b**4 - 37*b**4)*(7 + 6 - 5)*(-4 + 0 + 1 + (1 + 2 - 4)*(0 - 1 + 0) - 4 + 5 - 3) as a*b + s*b**2 + d + r*b**4 + z*b**3 and give r.\nAnswer: 2528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78810856.\nAnswer: 2, 41, 241, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (-1854)\/264*(-12)\/(-21). Let l = 251\/77 - i. Calculate the common denominator of l and 33\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*k + 457 + 1262 = -1377 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 108*y = -110*y + 2, -4*n + 4 = -3*y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 82631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.875 + -15. Let h = -0.7 + b. Let j = -0.05 + h. Round j to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -26*p + 482. Determine v(18).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24031 (base 7) to base 12.\nAnswer: -3704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5 = -1. Suppose -d*t - t + 2928 = 0. Is (t\/(-3))\/(1*-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkpkkkkkx. Give prob of picking 3 k and 1 p.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11610 divided by 1935.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 153, 309, 465, 621, 777, 933?\n\"Answer: 156*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -4. Let r(m) be the third derivative of m**4\/4 + m**3\/6 - 2*m**2. Let p be r(4). Solve o = -v*o + p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 30*b**3 - 17*b**3 - 15*b**3 - 12059 - 42*b**2 + 12064 to the form c*b**2 + a + u*b**3 + w*b and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*b = 13*b + 9*b + 14040. Does 60 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26244)\/405)\/81*(-2)\/((-8)\/62).\nAnswer: -62\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -58 and 16558240.\nAnswer: 16558182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4238 (base 9) in base 11?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g*g\/((g**0*g)\/g*g))\/g)*g**(-6\/11)*g**(-7)\/(g*g**(-5))*(g**(-3)\/g*g)\/(g\/(g\/g**(-7)))*((g*g**(-6\/7))\/g)\/g**(-1\/3) assuming g is positive.\nAnswer: g**(215\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -5*v**4\/12 + 9*v. Let u(c) be the first derivative of c**2 - 45*c + 45*c + 4. Calculate w(u(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 327426, 2619229, 8839834, 20953641, 40925050?\nAnswer: 70718461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let h(y) = -3 - 1 - y - y. Let r(z) = 3*g(z) + h(z). List the prime factors of r(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkmmm. Give prob of sequence mkm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -7*y - 1\/3*y**3 - 1 - 4*y**2. Is 4 a factor of i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hdhhhdhdhddhddhh. Give prob of picking 4 h.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 114657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2010 and 2010.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7257 - 7445 = -94*y. Let a = 21 + -7. Solve 3*n - 5*g - a = 0, -y*n + 0 = 4*g - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, 1, 6, -102\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/sqrt(1008)*4 + (sqrt(117) + (sqrt(117) + (sqrt(117) - sqrt(117)*3))*-2)**2*1.\nAnswer: sqrt(13)\/3 + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 78 = -3*k. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 885996.78 to the nearest 10000.\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -220 - -221. Calculate the remainder when 140 is divided by j*(32 + -2 + (7 - 12)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2262 + -492052.\nAnswer: -494314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -910*i + 911*i + m + 4, 2*i = 2*m + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 13) + (1 - 6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002272805 rounded to seven dps?\nAnswer: -0.0000227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 + 19*g**2 - 13*g - 20. Determine r(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 20*j - 138. Let y be w(7). What is the greatest common factor of y and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 8*s**2 - 280*s - 2. Determine x(-17).\nAnswer: 2157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 34324?\nAnswer: -34303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2065 is divided by 109.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, w: 3, n: 5, a: 1}. Give prob of picking 2 e.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 19539?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 31*j**2 - 172*j - 171. Does 18 divide n(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1258, -2517, -3776, -5035?\nAnswer: -6294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -805 + 726.5. Let w = i + 79. What is the closest to 0.4 in -0.3, w, 2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 2. Let m = -188\/3 - -62. Let u = 1\/9 - -2\/9. Which is the nearest to 1? (a) m (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -60*n - 1558. Let b be k(-25). Is -71 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4210 is divided by 114?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -731*d + 61. Let v(b) = 731*b - 65. Let m(f) = -3*a(f) - 2*v(f). Is m(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2643\/(-1762))\/(35\/14).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/102 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18108 + 0.1.\nAnswer: -18107.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -5 - (-2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - 0 - (-16)\/2. Suppose -2*a - 3*z + 17 + 6 = 0, -r*a - 5*z = -55. Solve 0 = -2*q - 0*q - a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfhcccxhxhh. Give prob of sequence ccch.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100330 or 100380?\nAnswer: 100330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.839 + -0.161. Which is smaller: -524 or n?\nAnswer: -524","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u. Let x(o) = -3*o**2 - 3*o - 8. Let b(c) = -4*s(c) - x(c). Suppose -5*k - 4*y + 22 = 72, 2*k - y = -7. What is b(k)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3 - -10) + (3 - -1 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0*y)**48\/(y*y**1)**32 assuming y is positive.\nAnswer: y**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l + 33. Let o be d(-16). Suppose -7*t = -15 + o. Suppose h - 5 = -t*s, h - 15 - 25 = 5*s. Solve 2*x - u + 2 = -3*u, 0 = -3*u - h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 2. Let o be w(-4). Calculate the smallest common multiple of -2 + 22\/2 + o and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7661 and 893?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5180, 13, -0.5, -3\/4 in ascending order.\nAnswer: -3\/4, -0.5, 13, 5180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 7:43 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5412, 5397, 5364, 5307, 5220, 5097, 4932, 4719?\n\"Answer: -p**3 - 3*p**2 + p + 5415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 187*h**2\/2 - 530335*h\/2 + 4254.\nAnswer: (h - 2836)*(187*h - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19360139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7129*z**2 + 3. Let p(y) = -2*y**2. Determine k(p(j)).\nAnswer: -28516*j**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -j + 85 - 0, 4*j - 5*p - 256 = 0. Let o = -40 + j. Suppose 0 = -4*v + 2*i + 48, 5*i + 5 + 5 = -v. Calculate the remainder when o is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - -24 - -22 - 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/5 (b) -0.01947 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -186 + 23?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 357842 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51942 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 907609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 - 172\/(-20). Sort 5, 2, 1\/4, a in decreasing order.\nAnswer: a, 5, 2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 204 = -l. Calculate the greatest common factor of l and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/30 in -0.07, 2, 10, 4, -1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223827 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 985, 1732, 2995, 4774?\n\"Answer: 258*b**2 - 27*b + 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/52*1\/(-2)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*d + 24, -2*w - 2*d + 19 = w. Let y(f) be the first derivative of -f**3\/3 + 4*f**2 + 3*f + 1. Let u be y(w). Solve u = m - 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f - 8. Let a(h) = 6*h + 6. Let g(j) = -3*a(j) - 4*t(j). Give g(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*((-9)\/(-4))\/1. Let a = 5 - m. Let c be a\/((-8)\/10) - -3. Solve -2*q - 28 + c = -3*u, 4*u = q + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (0 + (6 - 36 - -12 - 6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 30 - 10 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d*d)**(-10)\/(d**(-4\/9)\/(d**(3\/4)*d))*((d**(-2\/23)\/d)\/((d**(3\/8)\/d)\/d))**(-8) assuming d is positive.\nAnswer: d**(-18307\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2794 times 23.9015?\nAnswer: -66780.791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**38\/(z*z**41\/z))**(-18) assuming z is positive.\nAnswer: z**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -184615\/12847 + 417\/29. Let m = -31509\/6202 + a. What is the common denominator of 4 - -1 - (-980)\/(-504) and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -850 = -8*f - 810 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28ac - 1535?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 34367580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/9 (b) -2 (c) -3\/7 (d) -372\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - t - 1. Let i be (-4)\/(-16) - 1\/(5\/(135\/(-36))). Let l(d) = 2*d**2 - 7*d - 5. Give i*l(n) - 4*q(n).\nAnswer: -2*n**2 - 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + 47. Let q = 137 - g. Suppose -19 = -5*f + q. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 7 = 2*z, w + z - 4 = 3. Suppose -4 = -w*k - 1. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 564 + -35531\/63. Let b = -23685 + 23686. Which is bigger: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13280)\/(-15936)*(-456)\/10?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -1, 7, 11\/3, -4, -0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2272307?\nAnswer: 877, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24563478*o**3 + 6341549*o?\nAnswer: 147380868*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8330840?\nAnswer: 2, 5, 7, 29753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 8*w**2 + 1047 + 5*w - 1024 to the form m*w + b + f*w**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445172511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q. Let c(f) = -19*f + 19. Let k(v) = v**2 + v - 1. Let z(r) = -c(r) - 19*k(r). What is z(h(y))?\nAnswer: -76*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -142 (c) -0.289 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -27 (c) -1 (d) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at least as big as 456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*c = -0*n - 11, 0 = 5*n + c - 40. Let w = -8 + n. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 12*y**2 - 13*y - 2. Let k be o(-13). Let h be 6*1\/(-4)*k. Solve -8*q + 10 = -h*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-4)*((-488)\/1952)\/(2\/(-112)).\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-10\/11)\/(i**(4\/5)\/i) assuming i is positive.\nAnswer: i**(-39\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/825 in -2\/39, 38.5, 2?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -0.4, -954 in ascending order.\nAnswer: -954, -0.4, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaaakakayxfka. Give prob of picking 1 y and 1 f.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a = -32*a - 150. Let v be 3\/(-15)*a\/(-15). What is the smallest value in -0.3, -0.4, 18, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - -2. Calculate the remainder when 30 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000176152735 to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(6*-1*sqrt(119) - -2*sqrt(119)*-6))\/((5*sqrt(112)\/sqrt(2))\/(1*sqrt(800))).\nAnswer: -144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2. Let t be -2 + (-71)\/(-5) + 8\/10. Let v(i) = -32 + 19 - 140*i + t. Calculate y(v(b)).\nAnswer: 39200*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 108*m**2\/7 - 226974*m\/7 - 12612 = 0?\nAnswer: -7\/18, 2102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -0.4 (b) 5\/6 (c) -5 (d) 2 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 43*k**2 - 410*k - 31. Calculate r(-29).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -71 - 9843?\nAnswer: -9914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**3 + n**2 + 4*n + 3. Let t be (4\/(-8)*2 + 2)\/(-1). Let y be l(t). Let f(s) = 7*s**2 + 11. Let b(j) = -4*j**2 - 6. What is y*f(g) + 11*b(g)?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -1\/2 (c) 2.5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -928183, -928204, -928229, -928258, -928291?\nAnswer: -928328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-44)\/14 - -6) + (-5)\/(-35). Solve -5*u - n*t = 2 + 1, -4*u + 5*t + 5 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 18*a + 37. Let c(i) = 6*i + 13. Determine 17*c(v) - 6*g(v).\nAnswer: -6*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487*a - 32 = -491*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78.6 - 78.599997741. What is g rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -191.\nAnswer: -4\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7500, -12517, -17506, -22467, -27400?\n\"Answer: 14*x**2 - 5059*x - 2455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**5\/80 + 8*d**4\/3 - 512*d**3\/3 - 263*d + 2. Solve y(o) = 0 for o.\nAnswer: 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/2 (b) 2\/201831 (c) 1\/8 (d) -3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1112 + 203113?\nAnswer: 202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 80*g + 99*g - 40*g.\nAnswer: 138*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 4*u + 1985 - 326, -662 = -2*c - 2*u. Let a = -238 + c. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 128 and 3.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -j + 2, 3*h + 0*h = -4*j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*y = -52, -3*b - 9*y + 5*y = -77. What is the remainder when 104 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 3*u - 5*u - u + 3 - 3 - 2 + 2 - 2*u + (-5*u + 0*u + 3*u)*(-3 - 1 + 5))*(-4 - 138*u**3 + 525*u**3 + 3).\nAnswer: -5031*u**4 + 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 96062*b**2. Let k(w) = -26*w. Determine k(i(g)).\nAnswer: -2497612*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3 - (-1344)\/(-288)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 16*s**2 - s + 15. What is the lowest common multiple of 12 and i(-5)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 32 = -0*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1457.\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3, 0 = -2*m - c + 3*c + 24. Let g be 10\/((6 - 10) + 6). Solve 2*w = g*w - m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.92 - 7. Which is bigger: z or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, w: 5}. What is prob of sequence whww?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50596.31mg in micrograms?\nAnswer: 50596310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 111000010001011?\nAnswer: -111000010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 1\/91, 62, 4?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 3*t**2 - t - 1. Let f be i(-3). Suppose -f = -12*c + 11*c. Let y(n) = -n**2 - 2*n + 4*n - c + 2*n + n**3 - n**2. Give y(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155239890 a multiple of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(156))\/sqrt(3))\/(1*sqrt(16)\/sqrt(4)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -96529768304.955 minus 0.2?\nAnswer: -96529768305.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/4)\/(2\/4). Suppose 43 = i - n*d, -6 + 79 = 3*i + 5*d. Suppose 5*u + 3*z = -0*z + 52, -i = -3*u - 2*z. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135408?\nAnswer: 2, 3, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 125*z - 139*z + 350. Solve 29*u - z = 34*u, 3*u = 3*b - 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012292 (base 11) to base 7.\nAnswer: -42160151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 5. Let c be 7 - 5 - -5 - 2. Suppose -z*k + 10 = -c. Solve -d = 3 - k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*u**3*y**2 + 2*u**3*y + 28*u**2*y**2 + 5*u**2*y wrt y?\nAnswer: -8*u**3 + 56*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -53*r**6\/510 - 263*r**5\/510 - 101*r**4\/204 + 2*r**3\/51 + 2*r**2 + 55*r. Suppose n(a) = 0. Calculate a.\nAnswer: -2, -1\/2, 1\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -7) + 7 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 19369.\nAnswer: 19365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -219, -466, -791, -1182?\nAnswer: -1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i + 11178*h - 5586*h - 15 + 148 = 5594*h, -35 = -5*i + 4*h for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, -22, 4, -4, 11.\nAnswer: -22, -7, -4, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/60 + 3\/(-36)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (291\/2)\/(27\/(-4) + 6). Let j = -144 - o. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 5*u - 2*s, s + 40 = u - 4*s. Suppose 2*z - 2*w - u = 0, 0*z + 4*w + 5 = -3*z. Solve 0 = 4*n - 2*n, -3*t + 9 = z*n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2 + j**3 - j - j + 2*j**2 + 1. Let c be (15\/2)\/5 - (-7)\/(-2). Let t be l(c). Solve t*k = 2*k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827137 is divided by 287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 q when three letters picked without replacement from {j: 1, b: 2, q: 2, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*l*o**2 - 2*l*o + l*v - 1824239*o**2*v + 128229*o wrt v?\nAnswer: l - 1824239*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10030 (base 5) to base 6.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 5 + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 531805871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {i: 1, j: 5, r: 4}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f. Suppose 3*v + 408 - 1533 = 0. Let g(i) = -i**2 - 375*i + v*i. Give m(g(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a**3*a)**(-4\/15)*(a**4\/(a\/a**(-2)*a))\/(a**1)**25 assuming a is positive.\nAnswer: a**(-379\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 934562 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 101001111011010?\nAnswer: -101001111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**2*n + 453506725*k**2 + 94*k*n - 2*k - 27*n - 2019 wrt k?\nAnswer: -2*n + 907013450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 42 = -5*y. Let v = 1794 + -1806. Which is smaller: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -60, -90, -120, -150?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/5 + (-105)\/(-25). Suppose m*b = 4*s - 8, 8*s - 22 = b + 3*s. Suppose -5*q = r + 515, r + b*q - 1599 = 4*r. Round r to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1877 + 0.\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39717584 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-2 + 7)) + (1 + 2 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 137*f - 905*f**3 + 1680*f**3 + 137*f + 5283*f**3.\nAnswer: 6058*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 74.8 - 74.6. What is the biggest value in 5, d, 0.01, 10\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 11:09 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7851, -15702, -23553, -31404, -39255?\n\"Answer: -7851*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 1\/3, 127, -66, -2, 3 in decreasing order.\nAnswer: 127, 3, 1\/3, 1\/6, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -6 + 3 - -1 - -4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.6 + -9. Let i = -16.7 + q. Let l = i - -4.1. Put 2\/3, l, -1 in descending order.\nAnswer: 2\/3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 1 + 0*n - 3*n)*(2 - 5 + 1) - 1 + 1 - n.\nAnswer: -5*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10097 is divided by 97.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(325) + 2.\nAnswer: 1 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*g + 4*k, -4*k + 4 = 4*g - 4. Suppose -g*q + 1 + 2 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4*m - 20, m = o - 1 - 1. Solve o*g - 14 + 0 = 2*j, 3*j - 1 = -5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 91861 and 91875 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 332086402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3182 + 2360.9. Round w to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l\/(l**(1\/6)\/l)*l))\/l**(-2\/15)*l\/(l*l*l**5)*l\/(l**(-4)\/l*l) assuming l is positive.\nAnswer: l**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697432?\nAnswer: 2, 87179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, 5, -3, -143 in ascending order.\nAnswer: -143, -3, 0, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 1052?\nAnswer: 6312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -308, 3, 7, 2, 17 in decreasing order.\nAnswer: 17, 7, 3, 2, -0.2, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5013.3 + -5013. What is the fourth smallest value in t, 0.01, -1\/7, 2\/9, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3740 - -3741. Which is the third biggest value? (a) t (b) 2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 127166 divided by -871\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 9*t - 8. Let g be v(-10). Suppose -g*a + 98 = 5*q - 2*q, q = a + 26. Suppose 5*y - 7 - 47 = 3*r, 2*y - q = 4*r. Solve -2*j - 3 = -y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 589*j**3 - 16*j - 6 wrt j.\nAnswer: 3534*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23045 (base 7) to base 15\nAnswer: 1b0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 11. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -20) + (-31 - 3) + 12?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + (1 + 8 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = j - 283*p + 288*p, 0 = 4*j - 2*p + 14 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 18*j + 127. Let y(t) = 35*t + 222. Let c(o) = 9*n(o) - 5*y(o). Determine c(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 92014 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omommo. What is prob of sequence omm?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -227\/4 + 57. Let s = -27.2 - -27. What is the third biggest value in -5, j, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 16. Let m(t) = -3*t - 1. Calculate the remainder when m(-1) is divided by r(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13472391.1974 - -0.1\nAnswer: -13472391.0974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875 = -15*l - 860 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256, -252, -248, -244, -240?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8*(-1)\/(-2))\/(1\/1). Suppose -i*g - 8 = -16. Solve 5*s - g = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 q, and 1 i when three letters picked without replacement from {i: 6, p: 1, q: 2, e: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 133*c**3*m**3 + 3*c**3*m - 1226*m**3 - m with respect to c.\nAnswer: 399*c**2*m**3 + 9*c**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -534 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 12*n**3 + 11495*n**2 - 1097*n - 133135. Give w(-958).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.778 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -5) + (-10)\/(-2) + -80. Is 10 a factor of f\/(-4) + 0\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 - 81 = 2*q. Suppose 0 = -4*a + q, -4*t - 2*a = -348 - 116. What is the remainder when t is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.9256 + 0.4.\nAnswer: 16.3256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68153\/13 + 340583\/65. Suppose c = -w - 5 + 1, 5*c - 4*w = -29. Let x(j) = -j**3 - 6*j**2 - 5*j - 4. Let f be x(c). Is f not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55251 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 320769807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -26*s**4 - 5*s**3 - 5*s**2 - 5*s - 17. Let o(i) = -i**4 + i**3 + i**2 + i - 1. Let v(u) = -5*o(u) - z(u). What is the first derivative of v(y) wrt y?\nAnswer: 124*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - -15 - (-1 - -2 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 > 6634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/3 - -2 - -5. Which is the nearest to -2\/7? (a) 2 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312\/312*2\/4*1*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25341577 + 3745*j**3 - 25341577 + j**2 to the form w*j + n + y*j**3 + f*j**2 and give y.\nAnswer: 3745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -142153 (b) -0.07 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1590 is divided by 112?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25524533 (base 7) to base 16.\nAnswer: -237d31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 2*d**7\/63 + 2*d**6\/3 - 283*d**5\/60 + 65*d**4\/6 - 19*d**3\/2 + 1042*d. Determine m so that q(m) = 0.\nAnswer: -19, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 6100\nAnswer: 3050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**3\/6 + 11*m**2\/2 + 6*m. Let i be q(-13). Suppose -3 = h, 2*s - 2*h - i = -0. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36116901542 minus -0.39?\nAnswer: -36116901541.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 4:47 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 - 117.6. Put g, -0.17, 5 in descending order.\nAnswer: 5, g, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 10:13 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*i - 547 = 0, f + 11*i - 6*i = 197. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-3\/11)*l\/(l*l\/l**(-3\/8)) assuming l is positive.\nAnswer: l**(-57\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 2*h**2 - 3*h**2)*(4*h - 4*h**2 - h**2 + 7*h**2).\nAnswer: -2*h**4 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 6:39 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*t + t - 5, -2*t + v - 5 = 0. Let x(j) = -30 + j - 7*j + 2*j. Let g be x(-7). Put g, t, 4 in descending order.\nAnswer: 4, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/4 and 49\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/1194726 and -127\/183804.\nAnswer: 2389452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-1\/9)\/w*w*(w*w\/w**(-1))\/w*w)**(-4\/27)\/(((w*w**(-2))\/w)**29*w*w*w\/w**(-5\/4)*w\/(w\/w**(-3\/2))*w) assuming w is positive.\nAnswer: w**(52027\/972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7256 times -6\nAnswer: -43536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -11\/72*l**4 - 1\/12*l**3 - 1\/36*l**6 + 0 + 0*l**2 - 2*l + 19\/120*l**5. Suppose x(q) = 0. What is q?\nAnswer: -1\/5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/(r\/r**(5\/3)))\/r)**32\/(r**(-18)*r*r\/(r\/((r**(-3\/10)*r)\/r)*r)*r))**(-10\/17) assuming r is positive.\nAnswer: r**(-2119\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(1\/3)\/f))\/f)**9*f**(-5)\/(f*f\/(f\/((f*(f*f**(-2\/7)*f)\/f*f)\/f)))*(((((f**(-6)\/f*f)\/f)\/f*f)\/f)\/f*f**(-1\/6))**13 assuming f is positive.\nAnswer: f**(-5077\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 38 = 2*g, -5*g - 50 = -7*a + 2*a. Suppose -a*h**2 + 24*h**2 - 25*h + 5 + 5*h**2 = 0. What is h?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/54)\/(-4*2\/3)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 - -3.92. Let a = 0.234 - 24.334. Let i = 24 + a. Put v, i, 0 in decreasing order.\nAnswer: v, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89.9 - 83.9. Which is the nearest to -1? (a) -1 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 4*q**2 - q + 2. Let h(a) = 63*a**2 + a + 0*a**3 - 4*a**3 - 9 - 47*a**2 + 4*a. Let p(y) = 2*h(y) + 9*o(y). Determine p(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1290\/(-216) - 1104\/(-192)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 195*h**5 - 342*h + 12928*h**3 - 12930*h**3 + 3032*h wrt h.\nAnswer: 3900*h**3 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20090 by 98.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((38 - 34) + (0 - -1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2619378 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -436.00000191 - -436. What is z rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - 64) + (47 - 85)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 + (-7 - 3) - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 8:51 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.454 + -0.4539689. Round p to six decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027159956 rounded to five decimal places?\nAnswer: -0.02716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 127 - 125 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0465 and 167.3470119.\nAnswer: 167.3005119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -719 - 499 = -6*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1689 = 2*o + 2964, -3*v + o = -2792. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7883*r**2 - 3 + 4 + 7881*r**2 - 4 + 3.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -7*g + v + 74, 0 = -3*g - 4*v + 49. Suppose g = 4*q - q. Suppose 5*n - 276 = -3*o + 50, 2*o - 324 = -q*n. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -y + 5*a, -160*y + 5*a - 24 = -157*y. Solve -9*d + p = -4*d, 0 = y*d - p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 13. Let s be 2*(10\/l + 0). Let m(n) = 2*n - 7. Let p be m(s). Solve p*v = -v - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39097.0986 to 0 dps.\nAnswer: 39097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6748\/728 - 1480\/160.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214468\/20 + 3 - -3 - (-10)\/(-25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 4*p + 4. Let g be k(-5). Let z be g*(2 + (0 - 7)). Let t = -0.68 - -0.18. What is the second smallest value in 3, t, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12420\/270 - 114\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 9*m - 2. Let s(l) = 5*l**2 + 0*l**m + 2 + 2 - 3 + 7*l. Is s(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -0.09, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55620 divided by 618?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/21, -2\/5855, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b - 2. Let x be f(-1). Let s = -7 - x. Suppose -2*p = -2, 3*o - 5*p + s = 2*o. Solve 5*l - o = 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p - 3*p + 0*p + (-2 + 6 - 3)*(2*p + 1 - 1) + 2 - 2 + p + 8*p - 13*p + 9*p to l*p + t and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*(-2 + sqrt(180) + 0 + 5) + -5)**2.\nAnswer: 768*sqrt(5) + 3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/((((s\/(s**(-1)*s)*s)\/s)\/s)\/s)))\/((s*s**(-3\/8))\/s))\/(s\/(s*s*s**0))**20 assuming s is positive.\nAnswer: s**(155\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q = 0. Solve q = 3*k + 9 - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 16*g + 7. Let d(z) = -9*z - 4. Let p(j) = 4*c(j) + 7*d(j). Let l(o) = 22*o + 2. Give p(l(b)).\nAnswer: 22*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 7*y - 3. Let u be a(-5). Suppose -18 = -d - u. Solve -2*i = -0 - d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 61 - 6*c)*(-2*c**2 + 0*c**2 + 3*c**2) + (-7 - 6 + 7)*((-3*c + 3*c + c)*(-2 + c**2 + 2) + 3 - 3 - 4*c**3).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1292 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 52*t**2 + 6*t - 3. Let h(y) = y**2 - y + 1. Determine f(a) + 3*h(a).\nAnswer: 55*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 579b4 (base 16) to base 3\nAnswer: 200020020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - a - 4 + (0 + 1 - 3)*(2*a + 0 + 0) + 7*a - 5*a + 5*a)*(-27*a**3 + 23*a**3 - 230*a**3).\nAnswer: -468*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 666910 to the nearest one thousand.\nAnswer: 667000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t - 2. Let g = 2 + 2. Let l(x) be the second derivative of 2*x**3\/3 - 3*x**2\/2 - 1607*x. Give g*l(f) - 3*k(f).\nAnswer: f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 497573046 to the power of 1\/3, to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 0, -122.\nAnswer: -122, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1207*k**3 - 1358*k**3 - 98*k**2 - 65*k**2 wrt k.\nAnswer: -906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/((-4)\/(-24)). Let k(h) = 4 - 27*h - 2*h**2 + 8*h + 16*h + 3*h. Give k(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 25 = -89. What is the least common multiple of u and 4\/2*((-1700)\/(-136) - (8 + 0))?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 25 = -3*w, -5*a - 17 = 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 173435634839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47568 divided by 5325.\nAnswer: -15856\/1775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2455\/2*(-12432)\/(-740)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 249 and 15.\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11221)\/8015)\/(7\/(-2))*1*(-1)\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7586516\/1508 - (-2)\/13.\nAnswer: 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - -21. Suppose -2*m**3 + 15*m**3 + 13*m**3 - u*m**2 + 15*m - m**3 - 5*m**4 = 0. Calculate m.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 58 = 56*l - 4, -n + 27 + 13 = 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z. Let t(q) = -3*q - 2. Suppose -3*l - 2 = 4. Let u(j) = j + 1. Let o(d) = l*u(d) - t(d). Determine -6*k(x) + 26*o(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (152 + (-192)\/16)\/(1\/((-239)\/(-2)))?\nAnswer: 2, 5, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**7\/7 - 263*u**4\/2 + 2*u**3 + 141*u - 822. Find the third derivative of v(f) wrt f.\nAnswer: -120*f**3 - 3156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -65, -326, -859, -1754?\nAnswer: -3101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 10:39 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/259 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21*30\/27*-3. Let u = -56 - t. Suppose 3*v - 78 = 3*s, -5*v + 2*s + 144 = 11. Calculate the remainder when v is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 144?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 864456.\nAnswer: 864456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3460\/(-19376)*14\/20.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 135, 143, 155, 171, 191?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.4999?\nAnswer: -0.19996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -3*j**2 - 6*j + 7. What is the first derivative of k(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 204 + -199. Sort a, 0.08, 5\/4.\nAnswer: 0.08, 5\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4015, 4014, 4013?\n\"Answer: -i + 4016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43.4 - 38. Let s = r - 5. Let h = 0.1 - -0.1. Which is the biggest value? (a) h (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1761.767 - -1815. Let d = 52.9 - t. What is d rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 16. Suppose a*h - 12 = 2*r + 200, 2*r = 4. Is 24 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153\/(-15))\/((-6)\/(-10))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 280136?\nAnswer: 1960952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + -5.04. Let f = -1.803 + 1.403. What is the closest to f in p, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -837 + -0.2578421935\nAnswer: -837.2578421935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.1. Let d = -1.2 + 2. Let j = -1 + d. Which is the nearest to w? (a) j (b) 1 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-25512)\/16)\/((-12)\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1034)\/8 - (-57)\/(-76). Let w = -17\/6 - -335\/42. What is the common denominator of w and 39\/x*(-3 - (11 - -1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i**2 - 10*i**2 - 59376*i**3 - 6 + 27*i**4 + 59409*i**3 - 4*i - 29*i = 0. Calculate i.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 27 = -3*p, -5*u = 4837*p - 4836*p - 19 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-19)\/190)\/((-10)\/(-650))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -455, -1180, -2377, -4046, -6187?\nAnswer: -8800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5 + 3*g - 2*g + 4. Suppose q + 2*q - 244 = -2*o, -4*q + 332 = 4*o. Let r(s) = 45 - s + 36 - q. Calculate r(z) + 2*x(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 121010?\nAnswer: -120221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 89*x - 446*x - 662*x.\nAnswer: -1197*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14454 divided by -22\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-5) - 2 - (-1 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1138*n - 5677. Let l be j(5). Let u(b) be the second derivative of -216*b**2 + 0 - 1\/4*b**4 + l*b + 12*b**3. Factor u(z).\nAnswer: -3*(z - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -8. Calculate the remainder when (-426)\/(-18) + r\/6 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2296*q + 24 = -2294*q. Solve -16 = 4*d, -o = -3*d + 6*d + q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**4\/12 + 2*a. Let l(v) be the third derivative of 0*v**3 + 9*v**2 - 17\/24*v**4 + 0*v + 0. Calculate n(l(g)).\nAnswer: -289*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k. Let u(l) = 8*l. What is -7*r(i) + 2*u(i)?\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*l**2 - 21*l**2 - 17*l**2)*(l**2 + l**2 - l**2).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 + 2*l**3 - l**4 - 2*l**2 - 4*l**3 + 4*l in the form b + y*l**2 + k*l + o*l**4 + h*l**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: bdcdc (base 16) to base 10\nAnswer: 777436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2479 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -689*w**3 - 1138*w**2 + 2093*w**2 + 41*w**3 - 1078*w**2 wrt w.\nAnswer: -3888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3051 - 18257\/6. Calculate the common denominator of (42\/4 + 1)\/17 and z.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.6 (b) -1126\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 743 and -5.\nAnswer: -3715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3217*p**2 + 970*p**2 - 2.\nAnswer: 4187*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 14824337?\nAnswer: 14824330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/(-600) + 6\/72.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 + 215*m - 232*m.\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 3*o**2 - 2*o - 4. Let t be z(-3). Suppose l - 234 = 4*l. Let u = t - l. What is u rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/13 + 30*o**2\/13 + 8*o\/13 - 120\/13 = 0. Calculate o.\nAnswer: -2, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -70453, -73115, -77553, -83767, -91757?\n\"Answer: -888*o**2 + 2*o - 69567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1)\/(-4)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2775.756 take away -737.7804?\nAnswer: 3513.5364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3b4b4 (base 14) to base 8\nAnswer: 435706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -59, -1 in decreasing order.\nAnswer: 4, 3, -1, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189 at most 1189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 15*y**2 + 19. Let n(c) = -3*c + 9. Determine n(r(o)).\nAnswer: -45*o**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 55, 102, 167, 256, 375, 530?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 2 + 79. Factor -4*j**2 - 2*j + a*j**2 - j**3 - 8*j**2.\nAnswer: -j*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1795*w - 11 = -3*b - 1800*w, 2*w + 1 = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -1\/18*y**5 - 1\/315*y**7 + 1\/45*y**6 - 82*y**2 + 0 + 0*y**3 + 0*y + 1\/18*y**4. Factor n(r).\nAnswer: -2*r*(r - 2)*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 956 + 2*a**2 + 1707*a + 224 - a**3 - 1706*a + 520 to the form z + l*a**3 + o*a**2 + q*a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 227 (base 16) to base 8\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - l**2 + l - 1. Let f(g) = g**3 + 2*g**2 + g - 1. Let q be f(0). Let s(w) = 4*w - w + 3*w**2 - 3*w - w + 2*w**3. Determine q*s(r) - m(r).\nAnswer: -r**3 - 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + k = -2*o - 16, -2*o - 4*k + 12 = 0. What is the tens digit of o*(-46)\/(3 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -33) + 23 + -39.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 11, -3, 5, -4 in ascending order.\nAnswer: -4, -3, 5, 11, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 29403 = 2*x, -6*x + 4*x - 3*d = -29397. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -36. Let r = u + -20. What is the second smallest value in 3, r, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-3) + (1362 - (4 - -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9339 and 5236632?\nAnswer: 57602952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9832298 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.48, -124\/11, 1, -3, -0.03 in decreasing order.\nAnswer: 1, 0.48, -0.03, -3, -124\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 26*g**2 + 29*g + 2617. Let c(f) = 13*f**2 + 12*f + 1308. Let r(b) = -5*c(b) + 2*t(b). Differentiate r(x) with respect to x.\nAnswer: -26*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by -24*((-3)\/(-12)*(1 + -2))\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/103 in 5, -5, -20, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -2290140 and -2290126 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 114105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2*(4 + 323\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -425309016*i**3 - 977185311*i wrt i?\nAnswer: -2551854096*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 83, 98, 125, 164, 215, 278, 353?\n\"Answer: 6*i**2 - 3*i + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 6*u**2 + 5*u + 5. Let g = -38 + 38. Suppose 0 = -g*o - o - 5, -i - 3*o = 19. Let r be w(i). Solve -4*k - 6 = -a + 10, 3*k + r = 2*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 5 - (-3124 - 8). Suppose -3143 = -4*y - 4*c + 3*c, -4*y + q = -4*c. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-1)\/2)*((-108)\/12 + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*d - 3 - 15708 = 789. Calculate the smallest common multiple of d and 9.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - 185\/3. Let v = 118 - 118. Put p, 0.2, v, -0.2 in decreasing order.\nAnswer: 0.2, v, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(((2*(-2 + sqrt(891)))**2 - sqrt(891)) + sqrt(891) + -1 + 2) + 4.\nAnswer: -576*sqrt(11) + 14323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/48095758 and 61\/172.\nAnswer: 96191516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5718798 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2043*a**3 - 2042*a**3 - 6091*a**3 + 18589*a**3.\nAnswer: 8413*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3839.6 and 1.9.\nAnswer: 3841.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 4*q + 3. Let g be n(4). Let i be 4\/g + (-10)\/(-15). What is the second derivative of -2 + s**i - 1 + 2*s + 3 wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**4\/12 - 4*u**3\/3 - 7*u**2\/2 + 2*u + 169. Let a(s) be the first derivative of t(s). What is a(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 3*i**2 + 1\/6*i**4 + 0*i + 0*i**3 + 0. Let x be a(5). What is the highest common factor of 8 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -3*a, -1880*c = -1877*c - 20*a + 286 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12325644.\nAnswer: 2, 3, 342379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46575 - -66766. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 10 + (11 - 4) - 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 250\/3 (b) 1 (c) 23 (d) -3\/4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 36)*(-2 - 1341\/(-6)). Let o = -5222 - g. Suppose 0 = -b - 0*b + o. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170558 is divided by 186?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 5*s - s**4)*(-4 - 5 + 3).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 8*z**2 - 2*z + 12. Let l be f(-7). What is the highest common factor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 15*u - 30. Let i be v(17). Solve 15 = 5*n + 3*j, i*n + j - 5 = -0*j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b = 5*j - 24, -4*b - j = 32. Let k be b\/36 - 87\/(-27). What is the smallest common multiple of (-2 + 4 - k) + 7 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -25342114?\nAnswer: -1\/12671057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575227745.\nAnswer: 5, 41, 2805989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3894597715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4417.59ml?\nAnswer: 4.41759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -21*c - 75. Let m be f(5). Does 52 divide 578\/(-3)*(-9 - m\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 104, -827, -71, 0?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 4*n**2 - 10. Calculate c(4).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 11:09 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 + -5?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)\/((w**(-1)*w)\/w))\/((w**(1\/2)\/w)\/(w\/w**(1\/6)*w))*(w**5*w**(-6))**(24\/7) assuming w is positive.\nAnswer: w**(-44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/3 + 100*x**2\/3 - 848*x\/3 + 576.\nAnswer: (x - 4)**2*(x + 108)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3492 a factor of 203679880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 15. Suppose m*f = -f + 400. Suppose 11*g + f = 15*g. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 10*i**2 + i + 16. Let d be h(-10). Let z(n) = -n**3 + 9*n**2 - 12. Does 32 divide z(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 - 215 + 108 + 163*q.\nAnswer: 163*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 6:00 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**5\/60 + z**4\/4 - 4*z**3\/3 + 2*z**2. Give l(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59 and 8?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 2*t**2 + 1\/12*t**4 + 0*t**3 + 0*t + 0. Let u(p) be the third derivative of 3*p**4\/2 + 2*p**2 - 37849*p. Determine a(u(v)).\nAnswer: 72*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 - 16*v**2 - 3*v + 19. Give j(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 12. Suppose n = 5*s + 2*a + 2*a - 114, 3 = 3*a. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.183 - -11.93. What is i rounded to one dp?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3376380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b62ac - -6d7?\nAnswer: 1b69a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102*-103.\nAnswer: 10506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/17 (b) 5 (c) -2 (d) 2\/183\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 439\/318 + -5\/106. Let x(k) be the second derivative of 0 - 4\/9*k**3 - 6*k + u*k**2 + 1\/18*k**4. Let x(m) = 0. Calculate m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82600 divided by -14.\nAnswer: -5900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s - 2\/3*s**2 - 1\/9*s**3 + 4. Determine y, given that n(y) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 3. Let o = 54 - -62. Let q(t) = -116 + t + o. Let z be q(-6). What is p(z)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from xuqqtumk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 2:29 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -64*279\/(-2309376)*(-8)\/(-3)\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j + 13. Let q(x) = 4*x - 20. Let f(z) = -7*h(z) - 5*q(z). Let p be f(4). Solve 0*d - 5*g + p = -4*d, -3*g = 2*d + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 9*s**2 + s + 11. Let u be g(-9). Let d(t) = t - t - u*t. Let q(h) = h**2. Calculate d(q(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f\/(f*f\/f**(-2))*f)\/f)*f)**35)**14*(f**2\/f*f)**(-4\/9)*(f*f**2)**(-9) assuming f is positive.\nAnswer: f**(17389\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 234*u**5\/5 + 10*u**3 - 3*u + 354. Find the third derivative of h(d) wrt d.\nAnswer: 5616*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 56.248. Let b = -0.24799861 - d. Round b to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**6\/24 - 7*c**5\/6 - 245*c**4\/24 - 19*c**2 - 2. Suppose l(v) = 0. What is v?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/2 + 12*q**3 + 277*q**2\/2 + 330*q.\nAnswer: -q*(q - 33)*(q + 4)*(q + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3225266 is divided by 1075076.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a gram in milligrams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117*i**2*y**4 + 7*i**2*y**2 + 15*i**2 - 2*i*y + 33 wrt y?\nAnswer: -1404*i**2*y**2 + 14*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.49 + -0.29. What is w rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 829, -10, 23 in decreasing order.\nAnswer: 829, 23, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111121000 (base 3) to base 10.\nAnswer: 246105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*s - 11024 + 32290 = -325*s for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43873399013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 6:17 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123014240 (base 5) in base 4?\nAnswer: 21232011212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -286 * 433\nAnswer: -123838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/20 and 77\/142070?\nAnswer: 284140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52430*g**3 - 38*g**2 - 3*g - 107030787 wrt g?\nAnswer: 157290*g**2 - 76*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**2 + 0 + 2*d + 1\/6*d**3. Give t(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*r**2*u + 989001*r**2 - 2*u**3 - 15629*u**2 wrt u?\nAnswer: 2*r**2 - 6*u**2 - 31258*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 1, -4, -16, -5, -2 in increasing order.\nAnswer: -67, -16, -5, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-19.678.\nAnswer: -5.9034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4*(4 + sqrt(275) + 2) - sqrt(55)\/(sqrt(320) + sqrt(20) + sqrt(20))*-5) + 2)**2.\nAnswer: 705*sqrt(11) + 654131\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**3 + 3*m**3 - 2*m**3)*(0*m + 3*m - 6*m) - 27*m**4 - 33*m**2 + 33*m**2 in the form l*m**2 + k + w*m + y*m**3 + t*m**4 and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*g + x - 5*x, -5*g + 38 = -3*x. Let f = 2 - g. Let u = 1 - 3. Sort f, -4, u in decreasing order.\nAnswer: u, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 290433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -11?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 213.3171g?\nAnswer: 213317100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - (-99)\/18) + 1\/2. Let r(y) = 68 + y + y**2 - 36 + 68. Let k be r(g). What is the highest common factor of k and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 1\/3*6 + -65. Let u = -58 - z. Solve u*a = -3*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-3)*(-6)\/4. Let s = -967 - -4822\/5. Is s at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 1:02 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -47, 2, 0.108, -14, -0.15, -4\/3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 17*b + 67. Calculate m(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 221\/50240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1980) + -1*sqrt(1980))\/(sqrt(11) - (sqrt(891) - 2*sqrt(891) - sqrt(11))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 1. Let w(u) = -5*u**2 + u - 5. Let f(s) = -5*k(s) + w(s). Find the second derivative of f(z) wrt z.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 = 0, 4*y + 2*u + 12 = 6*u. Suppose y*v - v = 0. Suppose v = s - 9 - 15. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1036133 + -416392.8963867. Let b = t + 416429.0054. Let n = -36 + b. Round n to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26827312.5 take away -2.16658?\nAnswer: -26827310.33342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 11*m - 13*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/(-4)*48\/(-30). What are the prime factors of 223\/4 + d\/16?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.524509 decades?\nAnswer: 542.94108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*2\/4 + 4 + -1. Solve 0 = -2*s + 8 + k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20478893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98877 is divided by 154.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x + 113*x - 35*x - 39*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(1\/3)*h)**(-1\/20)\/(h**(2\/5))**(-1)*(((h*h**(-1\/8)*h)\/h)\/(h\/(h*h*h**(-3\/5)\/h)))**(5\/3) assuming h is positive.\nAnswer: h**(83\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 + 107. Suppose -u - 2*u = 0. Suppose u = 3*o + 3*v - 51, -o = -2*v - 20 - 0. Calculate the highest common divisor of o and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, -147, -506, -1207, -2364, -4091, -6502?\n\"Answer: -19*l**3 + 2*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 744 and 372.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*4\/(12\/(-9)). Let c be 2\/3*(-36)\/(-1). Suppose -s - c = -k*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 11) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -15. Let p = g - -25. What are the prime factors of (-1)\/(p\/(-12))*28?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 4*z**2 - 5*z + 2. Suppose 0 = -2*h - 3*i + 16, -4*i + i = -6. Let c be w(h). Solve 0 = 4*v + c*k - 24, 2*k + 12 = 6*v - v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-235 - 63*s + 235)*(-1 - 3 + 1 + (-2 + 2 + 1)*(-2 + 0 + 0)).\nAnswer: 315*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 666 + 3?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -13*d + 6. Suppose -d*c = c - 12. Suppose c*w - 388 = -w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28, 45, 68, 91, 108, 113, 100?\n\"Answer: -m**3 + 9*m**2 - 3*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -121, -2\/7, 0.604?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 143184 divided by -23864\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001110001011011 (base 2) in base 15?\nAnswer: 21428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/3))**(-27)*r\/r**5*r**(1\/3))**(-35) assuming r is positive.\nAnswer: r**(2275\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -49, -86, -143, -226?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 8*k - 11*k)*(2849 - 2849 - 645*k**2).\nAnswer: 5805*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5*f**(-2\/3))\/(f**1)**44 assuming f is positive.\nAnswer: f**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*x - 36*x - 14 - 16 + 3*x**2 + 24*x to q + d*x + z*x**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.107 * 5\nAnswer: -10.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -15*s**2 - 2*s. Let z(q) = 3*q**2. Give g(z(v)).\nAnswer: -135*v**4 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 0*h + 7*h - 2867 + 2924. Let d be u(-7). Solve -d*x = -5*x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 38, -2, 12, -1 in decreasing order.\nAnswer: 38, 12, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*i - 228*i = -483 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3a2 + -2?\nAnswer: 3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 2, l: 11}. What is prob of sequence zn?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppeppppepppp. What is prob of sequence ppee?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 11*m**2 + 161*m + 225. What is l(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2 + 14\/6). Suppose 4*z + 0*z = l*w - 198, -2*w + 139 = -5*z. Let y = 113 - w. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**4\/7 + 102*g**3\/7 + 88066*g**2\/7 - 176430*g\/7 + 88264\/7 = 0.\nAnswer: -187, 1, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9\/10 of a minute?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*y + 1600785, -283*q - 400170 = -y - 278*q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -3086*k**4\/3 + 739*k**3\/6 + 3844*k. What is the second derivative of j(s) wrt s?\nAnswer: -24688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10193817 divided by 3\nAnswer: 3397939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 2*a**2 + a + 21. Let f be ((-21)\/(-15) - 1)*-40. Let h = -16 - f. Let s be g(h). Calculate the greatest common factor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.151 * -7.\nAnswer: 1.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35.138577 or 24?\nAnswer: -35.138577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*b - 8*b - 9, -5 = -5*o + 5*b. Let t(k) = k**3 - 2*k**2 + 8*k - 18. Is 11 a factor of t(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 + 162*v**2 - 90*v**2 - 81*v**2 + 1 + 2*v**4 to the form k*v**3 + h*v**4 + j + z*v**2 + c*v and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.202 in -4, -3, -16\/309?\nAnswer: -16\/309","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-2)\/8)\/((-2277108)\/(-70608))\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1101101111011 (base 2) to base 8\nAnswer: -15573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5\/5 + 110*z**4 + 59372*z**3\/5 + 3158212*z**2\/5 + 83027474*z\/5 + 172969118 = 0.\nAnswer: -85, -49, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(1100)*-3 - sqrt(1100) - (sqrt(1100)*2 + 4) - -6*(-5 + (sqrt(1100) - (sqrt(1100) + -1))))*-5)**2.\nAnswer: 1344000*sqrt(11) + 16153600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 142127 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 23 - 7 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -7362.\nAnswer: -7362, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/111*14\/14\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -309, -814, -1725, -3246, -5581, -8934?\n\"Answer: -34*p**3 + p**2 - 270*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24732 is divided by 1465?\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 74\/(-10) + (-2)\/(-5). Let a(g) = -4*g**3 - 2*g. Let c(x) be the third derivative of 13*x**6\/120 + 7*x**4\/24 + 22*x**2. Calculate u*a(w) - 2*c(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -345*f**2*h - f**2*q**2 + 2*f**2*q + 4*f**2 - 7*f*h*q**2 + 2*f - 899*h*q + 20*q**2 + 850*q wrt h?\nAnswer: -345*f**2 - 7*f*q**2 - 899*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -12. Solve 4*w + 5*l = 30, -2*w - 4*l = -w - d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -85 + 81 + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/9)\/(3\/(-54))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24173.\nAnswer: 23, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + 135. Let w = -186 + 70. Let r = w + c. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17825 + -2?\nAnswer: 17823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*r, 2*h - 46 = -0*r - 4*r. Calculate the remainder when h is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411 = 5*m - 1296. What is m rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 4*sqrt(98) + sqrt(98))\/sqrt(2) - ((1*sqrt(98))\/sqrt(2) + sqrt(49)))\/((5*sqrt(56)\/sqrt(8) - sqrt(7))*4*-4).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 0.2176\nAnswer: -0.015232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5391136*z + 5391136*z + 3*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 19*w + 21. Let v(i) = 48*i + 52. Let t(m) = 12*j(m) - 5*v(m). Is t(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.62 + -7.37. Let c = -5.55 + 5.6. Let r = h - c. Round r to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3.039774 weeks?\nAnswer: 30640.92192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - k. Let d(b) = b**2 + b - 2. Let v be d(0). Let u = 0 - v. What is the units digit of q(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*(2 + (0 - 3)) - -1. Suppose -10*c - 1698 = -5*b - m*c, 0 = -b + 4*c + 330. Does 57 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37.92 and -1.2.\nAnswer: 45.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 20 + 31)*(4*y + 0*y - 6*y)*(3 - 3 - 11*y - 4).\nAnswer: 1540*y**2 + 560*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = i - 2*i. Let p be 4 - (-4 - -2 - 36). Let x = 75 - p. Calculate the greatest common factor of x and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 5)*56\/(-12). Suppose 4*n + v = 5*g, 0 = -g + 3*g + n - 3. Let a = 12 + -7. Solve -a*i = 4*s - s + 32, g*i = -3*s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = a + 5*y, 0 = a + 2*y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 45*x**2 + 403*x - 106. Calculate n(33).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -7*j - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570191347 to the power of 1\/3, to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**4\/48 + 11*i**3\/12 - 121*i**2\/8 + 263*i. Find k, given that r(k) = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(1152)\/sqrt(9))**2 + 1.\nAnswer: -32*sqrt(2) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -5, 105988, 0.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 101706.54977 to the nearest integer.\nAnswer: 101707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37302.\nAnswer: 2, 3, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - a**2 - 1. Let j(c) = 13*c**3 + 15*c**2 - 22*c - 6. Let r(t) = -5*j(t) + 30*m(t). Suppose r(d) = 0. Calculate d.\nAnswer: -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 11:59 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58728055?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 69*v**2 + 7*v. Let a(b) = 35*b**2 + 3*b. Let u(c) = 9*a(c) - 4*j(c). Let k be u(1). Let r be (-2)\/(-7) - k\/(-14). Solve w - 16 = -r*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.274 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*p**2 + 101 + 100 - 201.\nAnswer: -146*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 4*d**2 - 4*d - 11. Let b be a(6). Let r = b - 34. Let 0 + 1\/3*f**r + 1\/3*f**2 + 0*f = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogrquvq. Give prob of sequence qogv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1846 divided by -18.\nAnswer: -923\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 2646696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*-3.06.\nAnswer: 140.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 15, -2*x + 12 = 4*q - q. Let p(a) = -11*a - 18. Let u(s) = 2*s + 4. Let v(j) = p(j) + 5*u(j). What is v(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.1 - -6.8. Suppose 3*l + j = 12, -3*l + j + 7 - 1 = 0. Let i be 10\/l - (4 + -1). Which is the nearest to h? (a) -5 (b) i (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 12*s - 567. Calculate w(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + q**2 + 11*q + 9. Let x(w) = 2*w**2 + 11*w - 2. Let m be x(-6). List the prime factors of c(m).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, p: 1, s: 1, k: 6, q: 3, a: 4}. What is prob of picking 1 s, 1 a, and 2 g?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000330680083 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 762 = 4*z + r, 3*r = -3*z + 588 - 12. Does 38 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yydyyydddyddyyddyd. Give prob of picking 3 y and 1 d.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -577.13 - -603.9. Let q = i + -27. Let a = -0.22989 - q. Round a to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**2 + 1. Let k be c(-1). Suppose 2*x - k - 1 = 0. What is the remainder when 43 is divided by 2*x\/24*33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1804 + 1825. What is the least common multiple of z and 77?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 93865668?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4173160 divided by -208658?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -857*g = -862*g - 20, 4*k + 1 = -3*g - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8755\/(-618) - 45\/(-6).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i - 11. Let s = -403 + 412. What is h(s)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369884506.\nAnswer: 2, 184942253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**3\/6 + 9*v**2 + 342*v. Determine z(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**2\/2 + 13. Let v(j) = 3*j**2 + 2*j. Let b(u) = -12*u**2 - 9*u. Let p(l) = 2*b(l) + 9*v(l). What is p(g(s))?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -51. Calculate the remainder when d is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4055242 + 520?\nAnswer: 4100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o - 8 = 0. Suppose o*l = 4, 4*s - 5*l + 0 + 17 = 0. Let v be (s\/9)\/(22\/12). Sort -1\/2, 2, v in increasing order.\nAnswer: -1\/2, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -13*q**2 + 42*q + 16. Let j(t) = -140*t**2 + 455*t + 175. Let p(f) = 6*j(f) - 65*l(f). Let y(x) = 2*x + 1. Determine y(p(h)).\nAnswer: 10*h**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -211*f + 212*f + 2, -5*b + f = -2. Let h(g) be the first derivative of b*g - 50\/3*g**3 - 5\/4*g**4 - 125\/2*g**2 + 29. Find j such that h(j) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccppppc. What is prob of sequence cppp?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -241\/3 greater than -0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/77896 and -89\/29211.\nAnswer: 233688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10)*(-41)\/(82\/4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**5 - y**4 - y**2 - y + 1. Let s(u) = -10*u**5 + 10*u**4 + 60*u**3 + 18*u**2 - 78*u - 2. Let o(i) = -s(i) - 2*z(i). Factor o(r).\nAnswer: 4*r*(r - 5)*(r - 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, 0, 0.1, -5, 1, 23, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvk when three letters picked without replacement from naeeveeerkrkekvek.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26\/625 + 28751\/15000. Calculate the common denominator of -71\/20 and x.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66245.5127 to the nearest one thousand.\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -180609*g**3 + 21*g**2. Let d(y) = 18061*y**3 - 2*y**2. Give -21*d(m) - 2*x(m).\nAnswer: -18063*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a + 3*b - 27609, b - 20703 = 3*a. What is a rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2860, 7433, 14976, 25489, 38972?\nAnswer: 55425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 9*f + 18 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 5*p**3 + 20*p + 3*p**3 + 1.\nAnswer: -2*p**3 + 20*p + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -46*c - 136. Let x be h(-3). What is the nearest to -2 in 1\/12, -2, x, 0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 17*v**2 - 16*v + 23. Let i be 6\/45 + (-2984)\/(-120). Let k = i - 7. What is the units digit of r(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-12))\/(2 + 27\/(-6))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, h: 5, g: 3, m: 1, e: 7}. Give prob of sequence mh.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in three sevenths of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/721? (a) 2 (b) -3\/4 (c) 170\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1863905*v + 1863929. Determine s(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/778749 and -70\/9.\nAnswer: 2336247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.125, -0.2, 3, -5 in increasing order.\nAnswer: -5, -0.2, -0.125, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 3:31 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 + 68?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -337*o + 132. Let i be k(-10). Let h = -73511\/21 + i. Calculate the common denominator of h and -83\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*a + 27 = -2, 0 = 5*a + 25. Let r = -8 - s. What is the biggest value in r, 4\/5, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10220)\/1095*(-45)\/(-21).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - b. Let v(l) = 3*l**2 + 17*l - 17. Let m(n) = -4*k(n) - v(n). What are the prime factors of m(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001625713 to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66772\/9 + 37076\/5. Let t = -62\/15 - p. Which is the second smallest value? (a) 12 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -7. Let p = -2.3 + r. Let q = 0.897 - -0.103. What is the closest to q in -2\/5, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/20, 2\/9, 6, -4\/7, 3\/5 in descending order.\nAnswer: 6, 3\/5, 2\/9, -1\/20, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -4 + 10 - (-6 - -11)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4492490 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -j. Suppose 4*z + 8 = -8. Let l(b) = -b - 1. Calculate the remainder when j is divided by l(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 8*g**2 + 2*g + 6. Let v be k(7). Let x = v + 52. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 32*b + 2. Let k be r(-1). Let l = k + 58. Is 28 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -t + 3*n + 78, -3*t - n + 191 = 0. Let f = t + -46. What is the highest common factor of f and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u - 394. Determine i(-43).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsgss. Give prob of sequence ssg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = -22*x + 326 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 13 = 4*q, 1 = -3*j + q + 24. Let h = -15 + j. Let r(l) = l**3 + 8*l**2 - 3*l. What are the prime factors of r(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 847 - 590. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.5003115 to one dp.\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7\/2)*z*(z\/((z**11*z)\/z))\/z*z assuming z is positive.\nAnswer: z**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 6 + 6)*(8565*z**2 - 8565*z**2 + 73*z**3) in the form s*z**3 + t*z + y*z**2 + f and give s.\nAnswer: 1168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 306.6 + -307. Let t = -0.2 - -0.7. Let h = t + l. Which is the closest to h? (a) 3\/5 (b) -2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85174*x + 25808 = -84503*x - 23846 for x.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 - (2 + 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {z: 2, g: 2, l: 1, i: 2, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 112 = -3*t + 103, 34*c + 9 = -3*t + 12*c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -17*x - 8. Which is smaller: 6\/11 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -7. Let m be (-1)\/b - 115\/(-300). What is the smallest value in -0.3, -2\/7, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87531 (base 13) to base 10.\nAnswer: 244752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24 + -7 + 3 + -4. Suppose -5*c - k = -24, -12*k + 9*k + q = c. Let d be (0 + 1\/1)*-19. Put d, 0, c in increasing order.\nAnswer: d, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:16 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2299 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 577 - 569. Let t = -9 - -9. Suppose m + 4*m - 10 = t. Solve -n + l = 5*c, m*n = -2*n - 5*c + 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -58.27. Which is the nearest to 1? (a) m (b) 0.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -20. Which is the smallest value? (a) -3\/7 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, h: 2, v: 3, o: 1, z: 4, b: 3}. What is prob of sequence bo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1025)\/26085 + 382\/21201.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 42 = -8*h. What is the highest common factor of h and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3211 (base 6) in base 11?\nAnswer: -601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -53. Which is the closest to 2\/7? (a) -5 (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2503*k - 3807 = -2644*k for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from {l: 8, i: 1, j: 1, q: 2, y: 1, n: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-20))\/((-18)\/(-15)). Let s = 165 - 160. What is the nearest to d in s, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 15 + -7 + -1 + (-41 - (9 + -16))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 6:18 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57051 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*g**3 - 276*g**3 + 67*g**3 + 14567*g - 14567*g + 68*g**3 + 68*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(72\/((-45)\/5)). Factor -3\/4 + 9\/2*m**3 - q*m**4 + 1\/4*m**5 - 11\/2*m**2 + 13\/4*m.\nAnswer: (m - 3)*(m - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*g + 3, -3*i - i + 2 = -2*g. Let t = 11 + i. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8494*d - 72963 = -7405*d for d.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/38 and 1\/18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-10)\/(-8))\/((-17)\/(612\/30)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -21, -24, -27, -30, -33?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tahhthhhhttht. Give prob of sequence hhha.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 97314\/17212*(-4)\/(-6) - 2*2\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37163183*n**2 - 124*n + 73012 wrt n.\nAnswer: -74326366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20232000 (base 4) to base 3\nAnswer: -1210222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 4287 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3806, 16883, 39218, 70805, 111638?\n\"Answer: -f**3 + 4635*f**2 - 821*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -13*t**3 - 3*t**2 + 2*t - 2. Let z(o) = 10*o**3 + 3*o**2 - 2*o + 2. Let r(v) = 4*f(v) + 5*z(v). Calculate r(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4752, -5 in descending order.\nAnswer: 2, -5, -4752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 25.205. Let s = k + 0.3. What is s rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4237 or 4236?\nAnswer: 4236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or -41.454?\nAnswer: -41.454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-1\/13))\/i)\/i**(-2\/9))\/((i\/((i**(-1\/2)\/i)\/i*i))\/(i\/(i*i\/(((i**(-5)*i)\/i*i)\/i)))) assuming i is positive.\nAnswer: i**(-1955\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 3*g + 0*g)*(-348 + 348 - 3*g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 17*m + 12. Suppose 0 = t - 3 - 7. Let r(f) = 3*f**2 - 10*f - 11. What is the remainder when y(t) is divided by r(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3106, 5392, 7668, 9922, 12142?\nAnswer: 14316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -474418 by 14.\nAnswer: -33887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**3 - 2*p**2 + 7*p. Suppose 0*f = -3*f + 15. Let w(z) = -z**3 - z. Suppose -4*x - 13 = -1. Let m be (-1 + (-2)\/(-3))*x. What is f*w(b) + m*q(b)?\nAnswer: -b**3 - 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 470 and 9494.\nAnswer: 47470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + a**4 + 2*a**3 + 24 + 904*a**2 + 7*a - 908*a**2 to the form x + h*a**4 + c*a**3 + f*a + m*a**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6)*18 + (-468)\/(-12). Suppose -f + 8 = 3*f. Which is the fourth smallest value? (a) -2 (b) f (c) t (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 799 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299498*p = 303115*p + 162765 for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1327 - 1307. Let m = -1.3 - -1. Which is the second smallest value? (a) v (b) m (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 56, 113, 206, 347, 548, 821, 1178?\nAnswer: 1631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*x**2 - x**2 + 399 - 3*x - 1666 + 43*x**3 - 4*x wrt x.\nAnswer: 129*x**2 + 4*x - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -7 (c) -0.2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7514304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 11. Let k(c) = 3*c - 45. Let m(y) = -4*k(y) + 15*u(y). Let j be m(0). Suppose 4*a = 2*o - 11 + 35, 4*a - 36 = 5*o. Solve -g - j = a*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u - 4*j - 38 = -35*u, u + 4*j = 22. What are the prime factors of (-2)\/(-3) + 3 + 9550\/u?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 44aa7?\nAnswer: 44aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1312*s - 845*s - 4769*s + 697*s + 193099 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162*i**3 + 471*i**2 + 45*i.\nAnswer: -3*i*(i - 3)*(54*i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 15, c: 5}. Give prob of sequence ccg.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.734018086381 minus -14.97?\nAnswer: 15.704018086381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1713047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2346433 (base 11) to base 2.\nAnswer: -1111100111010110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1720766 divided by 860383?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -325 or -329?\nAnswer: -325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 32 - 17*c + 6 - 3 - 11*c. List the prime factors of a(-7).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-175)\/(-35)*(-2)\/(-5)*1988. Let r(c) = -c - 2. Let o be r(-5). Suppose o*a - a - 4 = 0, -4*j - 2*a = -v. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d**3 - 14880*d**2 - 46*d**3 - 14947*d**2 + 29827*d**2.\nAnswer: -34*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 29*r. Let z(u) = -5*u. Calculate 6*l(w) + 34*z(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 383155253 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210094 and 1460.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09882 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*o**3*u**2*y + 1820*o**3*u**2 - 2*o**3*y - 6*o**2*u*y - 1117*o*u - 4*u wrt u.\nAnswer: -208*o**3*y + 3640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 6*o - 1184 = 0. Suppose 142*u = o*u - 12426. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**3\/4 + 3*i**2\/4 - 7. Factor y(z).\nAnswer: -3*z*(z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.3, 10, -45.6, -5\/19 in increasing order.\nAnswer: -45.6, -5\/19, 0.3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*f + 2*f = 18, -3*p + 3*f + 18 = 0. Suppose 0 = -12*x + p*x - 4. Let w be (-3 - 23)\/(x\/(-1000)). Round w to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {r: 7, o: 2, u: 4}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*a*v**4 + a*v**2 - 49636*v**6 - 363792*v**2 wrt v.\nAnswer: -384*a*v - 5956320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 1 - (-21 + (-115 - (-69 - -22)))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 - 442?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 13. Let p be n(11). Let v(u) = -u + 1 - 2 - 1. Let x be v(-4). Does x = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-22)\/8) + 1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -151, 0.3, 9, -2 in decreasing order.\nAnswer: 9, 5, 0.3, -2, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02512235537 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30435650407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**3\/3 - 8*y**2 + 11*y + 1425. Give v(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-10))\/(((-19227)\/85)\/29)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 4:01 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((1 - (-5 + 4)) + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 43. Suppose -16 = -6*r + z. Solve 0 = 3*f + f + r*q + 16, -2*f - q = 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + 7*w + 32. Let l be a(-4). Let t = 30 + l. Solve 2*v - 5*h - 2 = 0, -3*v + 3*h = -2*h + t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -56, -416, -1388, -3278, -6392, -11036?\n\"Answer: -51*y**3 - 3*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/45 and -59\/176486560.\nAnswer: 1588379040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66386.18um to kilometers.\nAnswer: 0.00006638618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {j: 1, i: 4, x: 2, n: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 7 = 5. Let s = 8435 - 185611\/22. What is the common denominator of i\/9*57\/(-32) and s?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 3:42 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 3395800*g**3 + 2883064755238*g**2 + 340166179600200*g + 10034553597319161.\nAnswer: (g + 59)**2*(g + 1697841)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 2. Let i = y + 3. Find the third derivative of i*f**2 - 4 + 2*f**3 + 4 wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x + 4*x - x. Solve 0 = 3*r - 9, x = -15*m + 13*m + 2*r - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 10:08 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i + 12. Let o be b(0). Let c(f) = -2*f**3 + 28*f**2 - 12*f - 13. Let d be c(o). List the prime factors of (-1)\/((-4)\/d) + 9\/(-12).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25588798537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/18033 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y. Let j = 104 + -107. Let a(z) = 2*z. Let q(f) = j*a(f) + 2*r(f). Let x(n) = -30*n**2. Calculate x(q(p)).\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttzzwfttu. What is prob of sequence fwu?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 2. Let y(h) = -5*h - 5. Let x(k) = -7*w(k) + 3*y(k). Determine x(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6858, 13696, 20522, 27336, 34138?\n\"Answer: -6*f**2 + 6856*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31191 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 163436 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 8 = -v. Suppose 0 = -2*p + 3*b + 5157 + 870, -4*p = -v*b - 12060. Suppose -3*w + 3*k = -p, -w - 74 = -2*k - 1077. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5159, -21679, -49213, -87761, -137323, -197899?\n\"Answer: -5507*m**2 + m + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68761105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*c**3 + 2*c**2 - 2*c**2 - 5*c**3 - c**3 + 5*c**3 + (c**2 - c**2 + c**2)*(2*c - 3*c - c) to the form l + r*c**2 + t*c**3 + o*c and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 0*r - 2*r - 1)*(-4*r + 4*r + 4*r**3)*(-1 + 3 - 3) to the form v*r**3 + x*r + j*r**4 + y + w*r**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -4*n - 5*h + 30, -4*n + 111496*h - 40 = 111492*h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 18. Suppose -2*g + 0*g + 20 = d. Let i = g - 4. Let f(p) = p**2 - 3*p - 4. Determine f(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 161 + 2\/(-5) + 161\/(-35). Let i = c + -153. Solve -10 = 5*b + 2*o + o, 2*b = i*o + 17 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2884.7632 and -0.5.\nAnswer: 2884.2632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1750090 is divided by 3103.\nAnswer: 3101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 445, 535, 453, 145?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120\/127 - -854\/635. Suppose 0 + 0*c + 1\/5*c**3 + h*c**2 = 0. Calculate c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1356b (base 15) to base 13.\nAnswer: -22295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsx when three letters picked without replacement from xxxssddsss.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 78*p + 792. Let s be f(12). Put -1, -2, s, 2, -7 in descending order.\nAnswer: 2, s, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-4\/3)*k)\/(k*k*k**(1\/6)*k)*k**(6\/13)\/k*k**29)**(-28) assuming k is positive.\nAnswer: k**(-31262\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:38 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -2*w - r, -3*w + 127 = -0*r + 5*r. Suppose -2*f = 3*s - 36, -s - 3*s - 3*f + w = 0. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3\/4)\/v)\/(v*(v\/(v\/v**(-2)))\/v*v)*v\/(v\/(v\/((v**4\/v)\/v)))*v*v**1)**(-21) assuming v is positive.\nAnswer: v**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1278855, -1278863, -1278875, -1278891, -1278911, -1278935?\n\"Answer: -2*d**2 - 2*d - 1278851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 20*m**2 + 3*m - 3. Is r(-2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13353939 and 4458.\nAnswer: 2229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/4 + 4\/(-16). Calculate the common denominator of 34\/9 and (-19)\/4 + c - 2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4 + 26 = 0. Suppose 0*a = -4*a + 144. Suppose -7*i + a = -3*i. Calculate the smallest common multiple of i and b.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + y - 4*o - 14 = 0, 0 = 4*y - 2*o + 4. Which is the nearest to y? (a) 6\/7 (b) -11 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13010 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 4. Let b be n(-4). Suppose 3*m - b*j - 36 = 2*m, -3*m + 93 = 3*j. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74909.0120236 + -74909. Let v = -2.988 - -3. Let n = t - v. What is n rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 4*s**2 - 6*s - 40. Does 12 divide p(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + (-693)\/42)\/24.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 29?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/56235 and -83\/6520.\nAnswer: 449880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**7\/70 + d**6\/20 - 37*d**5\/60 + d**4\/24 - 13*d**2 + 3*d. What is the third derivative of h(g) wrt g?\nAnswer: -72*g + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-660)\/(-8))\/5 + (-29)\/58. Let r be (-58)\/(-7) + (-6)\/21. What is the highest common divisor of n and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1459, -4, 2, 0, -2 in increasing order.\nAnswer: -4, -2, 0, 2, 1459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j + 886 = 240 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16.7*-0.7\nAnswer: -11.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1003*i**3*j - 3853*i**3 - 32*i**2*j + 3*i*j + 305*i + 2 wrt j?\nAnswer: 1003*i**3 - 32*i**2 + 3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 7*j - 1. Let a be v(6). Suppose 3*l - 40 = -5*q, l - 6*l + a = -4*q. Let z be ((-1)\/(-2))\/(4\/48). Solve 2*w + 2*u = z*u, 14 = -w - l*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1496625 by 7.\nAnswer: -1496625\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n + 4. Let g(v) = 15*v - 9. Let p(t) = 7*c(t) + 3*g(t). Let k be p(2). Let a(o) be the second derivative of o**3\/6 - 2*o**2 - 489*o. Give a(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 29*f - 12*f = 6924. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 - (28 + -29).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4526775 by -7.\nAnswer: -4526775\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(81)\/sqrt(3))*-3 + (-1 + sqrt(243))*1 + -5 + 0)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-4) + -4 - (-13)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7864832141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 146*u**2 + 2*u - 1. Let v be (-6)\/(-4)*(-6)\/9. Is t(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*x, -c + 24 = 4*c + 2*x. Suppose 3*m + c*m - 224 = 0. Calculate the remainder when 109 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (1 - 6) - -772 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/((sqrt(44)*2 - sqrt(44))\/sqrt(4)))\/((sqrt(448) + sqrt(448)*-1)*-6 - sqrt(448)).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 = 0, -2*p + 43 = -p - 3*r. Calculate the common denominator of ((18\/231)\/(p\/(-2590)))\/(-6) and -167\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n. Let j be i(-1). Let x be j*-3 - (-37 - 2). Let w = x - 14. Calculate the lowest common multiple of w and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18321 and 372.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/5)\/((m\/(m*m\/m**19))\/m))**(11\/9))**(-32) assuming m is positive.\nAnswer: m**(28864\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 22428 (base 9) to base 13\nAnswer: 6a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100336, 201251, 302166, 403081, 503996, 604911?\nAnswer: 705826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*j. What is the remainder when 36 + -4 - (3 - j) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16\/9, -0.1, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/(-1071) - (0 + 2\/9)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(11 + 1))\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 70.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/14)\/(42\/4410) + 45?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 3*j + 4. Let v be w(-3). Let q = 116 + -117. Put v, q, -4 in ascending order.\nAnswer: v, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 266.4 (c) -113 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19339679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2497 is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3228*r + 3269*r + 50*r**2 - 6497*r.\nAnswer: 50*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3009\/204 + 3\/(-4). Suppose 12 = -f + x, -3*v - 23789996 = 2*f. Round v to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 57. Let n = m - 27. Which is the nearest to -1\/7? (a) -0.1 (b) -0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + ((-32)\/(-4))\/2. Solve 7 = l - q*f + 6, 4*l = -3*f + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -1, 96\/53, 0.01, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -308 + 310. What is m in 1\/2*m**k + 2 - 2*m = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -37*k**3 - 4*k**2 - 20789*k - 26. Let s(n) = 20*n**3 + n**2 + 10397*n + 14. Let t(d) = 6*g(d) + 11*s(d). Find the second derivative of t(y) wrt y.\nAnswer: -12*y - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 47. Determine a(-20).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -16*s**3 + 137042756*s**2 - 34260688*s = 0.\nAnswer: 0, 1\/4, 8565172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(85))\/(sqrt(45)*-2).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3.4, 4, 3\/2, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, h: 7}. Give prob of sequence hh.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 11. Let g = 38 + -37.5. Which is the biggest value? (a) 3 (b) g (c) o (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -7*q - 22 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/3)\/((-1)\/(-5)))\/(((-1156)\/(-34))\/204)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 1161051 at least 1161026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q**3 - q**2. Suppose 2 = 30*s + 32. Determine l(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1885*j**2 - 9320*j - 526. Calculate b(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1994 - -3023. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 187?\nAnswer: -1496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3 - 11. Suppose 0 = -3*y + m*y + 5. Suppose -y*x = -57 + 2. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14318608786217 and 0.29.\nAnswer: 14318608786217.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.31 - 0.07. Let z = d + 0.86. What is z rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15458 - 15453.7. Which is the nearest to u? (a) 1 (b) 0 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898 is divided by 94.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -19, -2\/11, -149, 0.5 in descending order.\nAnswer: 0.5, -2\/11, -1, -19, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x**2 + 3*x + 3. Let q(k) = 5*k**2 + 4*k + 4. Let r = 47 + -43. Let i(l) = r*z(l) - 3*q(l). Let h(t) = -t. Calculate h(i(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*o = 211*o + 12699 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1 = 5, 2*t = -2*d - 88. What is the common denominator of d and -115\/162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*l - 207000, 2*o - 2*l = 5*o - 207000. What is o rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.9 + 3. Let h = -0.52 - -0.2. Let z = 3.68 - h. Which is the second smallest value? (a) z (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4550143 decades?\nAnswer: 0.004550143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.5, 0.01, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/736, 6\/5, -1, 31, 0 in descending order.\nAnswer: 31, 6\/5, 0, -1\/736, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/34 in -2\/5, -1, -5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbjy when four letters picked without replacement from {j: 1, g: 1, y: 1, b: 1, f: 2, k: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1332 and 295908?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/((-6)\/(-24)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -234722*v**4 - v**2 - 345828.\nAnswer: -5633328*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/30 and -53\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -12. Suppose -2*d + m + 4 = 0. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from {i: 1, h: 1, o: 2, a: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/16, -1\/10, -3\/7, -304?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17523)\/(-22))\/(-177)*6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20423 - -33?\nAnswer: 20456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p + 701 - 781. Suppose 0 = -p*x + 105009 - 23617. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**8\/420 - 17*w**7\/840 + w**6\/18 - w**5\/30 - 2*w**3\/3 + 4. Let l(d) be the third derivative of y(d). Factor l(g).\nAnswer: g*(g - 2)**2*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 5*n + 35 = 0. Let t = 2 + n. Let y be ((-126)\/(-35))\/((-1)\/t). Calculate the greatest common divisor of y and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6*x + 3*w + 18 = 0, -5*w = 2*x + 24. Let a be x + (-1 - -2) - -6. Find the third derivative of 2*u**5 - 2*u**2 - 2*u**6 - 2*u**a wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3802788 divided by -6?\nAnswer: 633798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348, 656, 972, 1302, 1652, 2028, 2436?\nAnswer: 2882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 45*m + 5*m - 37 + 37 + 4*m.\nAnswer: 3*m**2 - 36*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10*(-6)\/20*4\/(-26). Find b, given that 4\/13 - 2\/13*b**4 - 2\/13*b**2 - a*b + 6\/13*b**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2496)\/80)\/((-12)\/(-100))*(-2)\/5?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -9*s**3 - 170*s**2 + 189*s - 219. Determine p(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -21?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.74 + -21. Let b = 13.74 - t. Let g = b - 13.9999987. Round g to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 14*n = -16*n, -14 = 5*q - 3*n. Let v = -5.7 - -6. Let p = 0.9 + -0.5. Which is the fourth smallest value? (a) p (b) 1\/5 (c) q (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6520 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 6*w + 2. Let p be a(-6). Let y = 1 + -1. Suppose -2*o + 5*q + 11 = p*q, y = 5*o + 5*q - 15. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79*c**3*t + 19092*c**3 - 23*c**2*t**2 + 2*c + 3*t wrt t.\nAnswer: 79*c**3 - 46*c**2*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1641*y**2 + 0*y - 1655*y**2 + 0*y.\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(432)*1 + -5)*-2.\nAnswer: -120*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 8*z - 5*v = -29, -4 = -4*z + 2*v. What is the least common multiple of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108820416 times -0.5\nAnswer: 54410208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 8. Let h be v(6). Suppose -h*x = -2, -2*j = -5*j - 3*x + 18. Are j and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**2 - 12*o + 432 = 0.\nAnswer: -12, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2484 + -1263. Is 83 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1656*a**2 - 1656*a**2 + 29*a**4 + (-6*a**3 - 17*a**3 + 3*a**3)*(-a - 5*a + 4*a) to r*a**2 + s*a**3 + l + h*a**4 + m*a and give h.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2746 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 23*r**2 + 18*r - 52. Is p(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 2*d - 2*d + (2*d + 3 - 3)*(-5 + 3 + 1) + d + 3*d - 5*d + 0*d - 3*d + d + (3060*d + 2482*d - 1060*d)*(-3 + 5 - 3).\nAnswer: -4489*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 33731.446 times 8\nAnswer: 269851.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519909699.\nAnswer: 3, 467, 371099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/72*-2 - (-8)\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/10 + 2013*x**2\/10 - 1350723*x\/10 + 302111711\/10.\nAnswer: -(x - 671)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*m + 7 + 21, -2*n - m + 23 = 0. Suppose 4*z - n*z + 364 = 0. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 2*g**2 + 5*g. Let j be n(-4). Suppose -8*b + 2*b + j = 0. Find c, given that 2\/7*c**3 - 30\/7*c**4 + 24\/7*c**b + 0 - 8\/7*c = 0.\nAnswer: -1, 0, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78.9 - 79. Which is the third biggest value? (a) 2 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. Let w be (-6)\/(-4)*2*(-2)\/6. Sort w, 2, t.\nAnswer: w, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6376 divided by -1594?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 292*f - 10658.\nAnswer: -2*(f - 73)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3*-30.7\nAnswer: 92.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -6*g**3 - 31*g**2\/2 + 2*g - 9. Let p(j) = j - 1. Let o(i) = c(i) + 2*p(i). Find the second derivative of o(n) wrt n.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/4, 3814, 6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -69, -5, 15\/8, 2, -33?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**4\/12 - 7*t**2 - 10*t. Let y(u) = 39*u. Determine y(w(c)).\nAnswer: 78*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 69, 545, 1089, 1707, 2405, 3189?\n\"Answer: x**3 + 28*x**2 + 385*x - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66324 is divided by 3043?\nAnswer: 2421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 27 = 37. Suppose -b + 171 = t*y, 2*b + 326 = 4*b + 4*y. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 405 divided by -15\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, j: 8}. What is prob of picking 4 r?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1021801 and 2585?\nAnswer: 240123235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41414069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16491)\/(-15) - (-4 - 110\/(-25)). Let v = f - 117591\/107. Suppose -4*s - 1 = -l, -3*s - 4*l = -14 - 9. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1772, 6531, 14280, 25013, 38724?\nAnswer: 55407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/5)\/s)**(2\/49))**38\/(s\/(s*s**(2\/13))*s*s**(-2\/11))**(-35) assuming s is positive.\nAnswer: s**(836361\/35035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 129546 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: Four letters picked without replacement from {y: 5, n: 2}. Give prob of picking 4 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 8) in base 13?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(-185*p + 135*p + 97*p)*(3*p**2 + 0*p**2 - 2*p**2) as v + l*p**2 + q*p + u*p**3 and give u.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 79 + 622?\nAnswer: 69b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72027 by -2.\nAnswer: -72027\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (3 - 0) - (-1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 22 = -2*n, -26 = n - 5*g - 6. Let z(w) = 2*w + 21. Let d(h) = h + 10. Let f(x) = -13*d(x) + 6*z(x). Determine f(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-20)\/12*10\/25.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 936302743?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-8\/9)*(t*(((t**(-19)\/t)\/t)\/t)\/t*t)\/t*t*t*t assuming t is positive.\nAnswer: t**(-179\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36816509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*f - 7*f + 6*f)*(2 + 0 + 2)*(4*f**3 - f**3 + 0*f**3) in the form g*f**2 + j*f**3 + t*f + n + b*f**4 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31374 + 31374.088562. Let f = 0.0896 - g. Let c = -0.001 + f. Round c to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 0 - 4*b + 0*b**3 + b**2 - 5\/12*b**4. Find the first derivative of a(h) wrt h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*g - 85*g - 477970 = 5*k, 0 = -5*g + k + 2389994. Round g to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) 1059189 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100658617 or 100658607?\nAnswer: 100658607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g. Suppose 0 = -n + 4*n. Let z be n - g - (4 + -1). Put z, 2, 3 in descending order.\nAnswer: 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2526 + -2527.558. What is i rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 4 (c) -2 (d) -18 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1225651 divided by 2177?\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -89, 2 in increasing order.\nAnswer: -89, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, -378, -1.\nAnswer: -378, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*f**5 + 32 - 12*f**5 - 18 - 3*f - 2 wrt f?\nAnswer: 560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*r**2 - 20*r + 1962 wrt r.\nAnswer: 20*r - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/11 - 9904*s**2\/11 + 9538592*s\/11 + 7081589760\/11.\nAnswer: 2*(s - 2716)**2*(s + 480)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 39 + 20 + r**2 + 19 + 313*r in the form q*r + x*r**2 + k and give q.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 0.5 (b) 114 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.788 times -352\nAnswer: -277.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50445 and 778446.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003539 to seven decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*u + 9384, -112*u = 3*r - 116*u - 7034. Calculate the greatest common factor of 400 and r.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -103*h**3 + 4*h**2 + 12*h - 5. Give z(2).\nAnswer: -789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1133 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 770 - 40*q**2 - 21*q**2 - 2*q**2 - 26*q**2 - 955*q + 44*q**2 = 0.\nAnswer: -22, 7\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253068 less than -12573?\nAnswer: -265641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + 0*n**2 - 3*n**2)*(-5*n**3 + 2*n**3 + 2*n**3) - n**2 - 9*n**2 - 2*n**5 + 2*n**2.\nAnswer: -3*n**5 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 150 - 78. Calculate the greatest common divisor of s and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2. Let h(t) = 83*t - 3. Let s(n) = 82*n - 5. Let p(k) = 4*h(k) - 3*s(k). What is d(p(f))?\nAnswer: -14792*f**2 - 1032*f - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196 + 11*r**3 + 583 - 197 - 190.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 5036, 4, -2\/3, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4*c - 16, -10*c - 37 = -4*y - 58 + 67 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 + 5*o - 6. Let f = -7 - -4. Let p(m) = -2*m**2 - 4*m + 5. Let s(w) = f*u(w) - 4*p(w). Let n(r) be the first derivative of s(r). Give n(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 9*s = 826. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8524104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 9*a**2 - a**2 - 2*a**2 + 2 in the form k + y*a + r*a**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from memdkmemkaaeamammam. What is prob of picking 2 e and 2 a?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*s + 120*s - 12169*s**2 - 58*s.\nAnswer: -12169*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -262 - -258. Sort x, 2, 5, 44 in decreasing order.\nAnswer: 44, 5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-4))\/(1\/(-4)). Suppose 19*r - 61 = 53. List the prime factors of (-115)\/k - r\/(-9).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*k**2*y + 44*k*y + 12*k - 764*y + 4 with respect to k.\nAnswer: -12*k*y + 44*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -7. Let c = -14457 + 14460. Solve -c*p + 2*p + 2*h - 11 = 0, -h - 17 = i*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 9*g**5\/10 + 2*g**3\/3 - 9*g + 27. Let j(l) be the first derivative of w(l). Find the second derivative of j(t) wrt t.\nAnswer: 108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -369 + 351 - (-496)\/28. Let y = 0.1 - 0.1. Put y, 130\/9, w in descending order.\nAnswer: 130\/9, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -82*n**3 + 3*n**2 + 6*n - 5. Let i be x(-6). Let q = -8266 - 613. Let g = i + q. What is g rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/15)\/x*x*x**(1\/4))**(-1\/25) assuming x is positive.\nAnswer: x**(-19\/1500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 492503 to the power of 1\/2, to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 604216051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237762459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-231)\/3850)\/(1\/(-5)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 941*f = 1779*f + 9218 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -219.7 - -29.7. Let x = 191 + y. Is x bigger than 2\/193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -8*i**2 - 7*i - 239. Let n(y) = 7*y**2 + 7*y + 238. Determine 7*n(u) + 6*p(u).\nAnswer: u**2 + 7*u + 232","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**2 - 4. What is the units digit of n(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(270)*-2)\/sqrt(6) + 4 + (sqrt(180) - (sqrt(180) - (sqrt(180) + 1)*-5)))**2.\nAnswer: 132*sqrt(5) + 21781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**6\/60 + 6*r**3 - r + 33. Let z(v) be the second derivative of t(v). Let d(h) = 25*h. Determine z(d(a)).\nAnswer: 3750*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35a9a (base 11) to base 13.\nAnswer: 1a811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 + 22*u - 18. What is the remainder when 7 is divided by n(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-7)*(1 - -2). Let d = 0.2 - -1.8. Which is the smallest value? (a) r (b) -1\/9 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**7\/105 + h**6\/6 - 4*h**5\/5 - 5*h**4\/6 + 25*h**3\/3 - 2314*h**2. Determine q so that l(q) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*m = s + 493, -287408*s + 14 = -2*m - 287406*s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5125529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183578 is divided by 1719.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 415118 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -17*t**2 + 21*t - 85. Let w(u) = 72*u**2 - 84*u + 339. Let k(a) = -21*m(a) - 5*w(a). Solve k(p) = 0 for p.\nAnswer: -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2 + 0*t**2 + 6 - t**2. Let u(x) = x**2 - 3. Let k(r) = -3*j(r) - 4*u(r). Let p = 37 + -35. Calculate k(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9c0530 (base 14) to base 11\nAnswer: 2aa1881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100\/7 - 14. Let y(a) = 3*a**3 + 28*a**2 + 8*a - 9. Let p be y(-9). Factor -2\/7*z**4 + 4\/7*z**2 + p*z - n + 0*z**3.\nAnswer: -2*(z - 1)**2*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.978198 to 0 decimal places.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 65999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-82)\/(-4) + (-1)\/(-2)*-1. Let u be 8\/f*((-3)\/1)\/(-3). Put -0.5, u, -0.05, 1\/5 in descending order.\nAnswer: u, 1\/5, -0.05, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 + 12*y**2 + 10*y - 21. Let r be u(-4). Let z = 59 + -58. Solve -m = r - z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/126)\/(-2 - (-14)\/6).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 14*f. Suppose 7*q - 35 = -f*q. Suppose -q*x - 77 = -7*a + 4*a, 4*a - 94 = -2*x. What is the remainder when 91 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 698220?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.65959111 to 3 decimal places.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 72036178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25683 = 20*d - 27*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 42228 from -4.\nAnswer: -42232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8484 is divided by 8467?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/6 + 13*p\/2 + 33 = 0 for p.\nAnswer: -33, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 84022308 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 15 = -3*y, -j + 26 = 4*y + 6. Let o(v) = 6*v + 1381. Is o(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.03 - -0.03. Let y be (2 - (-45)\/(-21)) + (-171)\/(-315). Which is the second biggest value? (a) 0.3 (b) x (c) y (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 660161 and 204?\nAnswer: 7921932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 30*t - 193. Let d(c) = -25*c + 192. Calculate -4*d(k) - 3*f(k).\nAnswer: 10*k - 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3 + 6 + 2 + 0 - 13 - 5*r. Calculate p(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w. Let s be a(-2). Suppose 2*f + 0*f = 0. Suppose -4*k - 1 = -13. Put k, s, f in ascending order.\nAnswer: f, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 22*o = 20*o - 30, -4*o = -3*w + 38. Solve -11*u - w = 11*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 6:21 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a**2 - 48*a + 3. Let p be t(-6). Suppose -5*c = -3*n + 742 + 544, -3*c = -p*n + 1296. List the prime factors of n.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 728 divide 26008205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**5\/20 - 7*n**4\/12 - 5*n**3\/2 + 6*n**2 + n - 36. What is the units digit of z(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4540668181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7.827*4\nAnswer: -31.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7660923*p**3 - 2*p**2 + 11604614.\nAnswer: -22982769*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -926 - -929. Sort r, 10, -10.\nAnswer: -10, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpvp when four letters picked without replacement from {y: 4, v: 3, p: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 12*h**2 + 2*h + 44. Let b(a) = 25*a**2 + 5*a + 85. Let c(s) = 2*b(s) - 5*j(s). Let p(m) = 8 + 8 - 15. Give c(g) + 50*p(g).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 6. Let k be d(6). Let b(t) = -t**3 - 51*t**2 - 134*t - 6834. Let f be b(-51). Factor f*y**3 + 0*y + k + 0*y**2 - 1\/5*y**4 + 1\/10*y**5.\nAnswer: y**4*(y - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 10:05 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**8\/o**(-1\/35) assuming o is positive.\nAnswer: o**(281\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43, 238, 569, 1036?\n\"Answer: 68*u**2 - 9*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2961 + 984 + 758*d + 982 + 995.\nAnswer: 758*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 4217937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1146, 1193, 1270, 1377, 1514?\n\"Answer: 15*x**2 + 2*x + 1129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -326 != -326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 9*s - 10. Let p be i(-7). Let f = -1 + p. Find the common denominator of -63\/10 and ((-3)\/4)\/(f\/86).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -2. What is the tens digit of (-932)\/v + (-15)\/(-35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 189*j - 197*j + j**3 + 826*j**2 + 6 - 830*j**2. Give t(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -258*z**3 - 96*z**2 - 555*z + 30. What are the prime factors of v(-6)?\nAnswer: 2, 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*h**2*l*p**3 - 2*h**2*l + 22*h**2 + 279*h*l*p**2 - 216*h*l - 1 wrt p.\nAnswer: -27*h**2*l*p**2 + 558*h*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 16*q + 3. Let s(j) be the second derivative of -j**3\/6 + 108*j. What is s(w(a))?\nAnswer: -16*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2751 by 1871.\nAnswer: -2751\/1871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 15 = p, 66*l = 70*l - 4*p + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -129*u + 89. Let k(z) = 46*z - 31. Let s(d) = -17*k(d) - 6*w(d). Let n(f) = 9*f + 8. Determine -5*n(h) - 6*s(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11\/17 + -43\/119. Let c be ((-4)\/10)\/(31 - 10870\/350). What is the fourth smallest value in -3, c, -2, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406314899 to the nearest integer?\nAnswer: 20157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/11 - -5\/22. Factor -1\/4*u**2 + 1\/4*u + z.\nAnswer: -(u - 2)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -31*t + 693. Determine d(23).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3287 and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.15564 + -0.84436. Put i, 0.1, -1\/3, -97 in descending order.\nAnswer: 0.1, -1\/3, i, -97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, h: 7, p: 4}. Give prob of sequence pn.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 61141 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + o + 112 = 5*o, -5*f = -5*o - 140. Factor -17*c**2 + 24 + 17*c**2 + f*c + 4*c**2.\nAnswer: 4*(c + 1)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -25, 1, -48, -11\/5 in ascending order.\nAnswer: -48, -25, -11\/5, -1.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -9388, -4, -3, 113 in decreasing order.\nAnswer: 113, -3, -4, -9388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 7*q + 1. Let x be h(-7). Let m = 2 + -2. Solve -g = -m*g + x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42.742 * -11.446.\nAnswer: -489.224932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w**2. Let a(b) = 133*b - 61*b - 51*b. Determine a(z(n)).\nAnswer: -147*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqqtqtqstsqqtq. Give prob of sequence ss.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + z + 150 = 0, -161 + 41 = 4*g + 5*z. Let q be (693\/35)\/((-2)\/g). Suppose 0 = -12*t + 9*t + q. Is 33 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 926 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1888964 (base 10) to base 6\nAnswer: 104253112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 18. Solve 2*n = v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -269\/2 + 406\/3. Let k(z) be the second derivative of 3*z**5 - y*z**3 + 25\/42*z**7 + 0 + 7\/3*z**6 - 20*z + 0*z**2 + 5\/6*z**4. Solve k(o) = 0 for o.\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2937?\nAnswer: 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, c: 7, y: 4}. Give prob of picking 1 y and 2 c.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19.61951 millimeters?\nAnswer: 19619.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 7*r**3 - 3*r + 4*r**3 + 4*r**3 - 3*r + 10 to o*r**2 + y + p*r + s*r**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 840726 (base 11) in base 15?\nAnswer: 1b9567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -144\/5 (b) -3\/5 (c) 4 (d) 0.2 (e) -2\/39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -4*i + n, -5*i - 45 = -n - 185. Let l(s) = -16*s - 11. Let m be l(-4). Let g = m - i. What is the highest common divisor of g and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21313021330 (base 4) in base 3?\nAnswer: -11212100020121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21026 - -104548\/5. Let n = -199 + 316. Let j = v + n. What is the second smallest value in j, 2\/5, -2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*-6*(-2 + sqrt(80)))**2.\nAnswer: -14640*sqrt(5) + 75721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -620, -56, 4, -2, -6, 3 in ascending order.\nAnswer: -620, -56, -6, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.2 - -11.16. Let i = 0.02 - 0.19. Let c = -0.27 - i. What is the nearest to c in t, 0.5, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**3 + 4*w**2 + 6*w - 9. Let t(v) = -11*v**3 - 8*v**2 - 13*v + 18. Let g(n) = -13*r(n) - 6*t(n). Is g(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = m - 34*x + 30*x + 205, -34*m - 178 = -30*m - 6*x for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -5. Let v = 161 - 162. Which is the second biggest value? (a) v (b) m (c) 5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*f + 12 = -67*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 899?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*o - 147 + 111. What is the second derivative of 20*t**5 - 79*t**5 - 52*t**2 + 2*t + 8*t + 51*t**2 - o wrt t?\nAnswer: -1180*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -2173*q**5\/30 - 127*q**4 + q**3\/3 - 1607*q**2. Find the second derivative of r(c) wrt c.\nAnswer: -8692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 1. Let s(f) = -1. What is s(m) - 2*w(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 2. Let y be i(-1). Suppose -y*o - 17 = -2*j - 0*o, -4*j + 5*o + 29 = 0. Sort -2, 13, j in decreasing order.\nAnswer: 13, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnu when three letters picked without replacement from {u: 5, n: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/261 - 539\/4437. Let u = s + -12\/187. Which is the third smallest value? (a) 2\/5 (b) 1\/5 (c) u (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-240)\/(-4) - 3 - -3. Let d be 3*8\/q*5. Let p(w) = -w**2 + 11. Let f(r) = -12. Let m(z) = d*f(z) + 3*p(z). Differentiate m(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 318667 divided by -1\nAnswer: -318667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -2*sqrt(77)*-2 + sqrt(77) - sqrt(77))\/sqrt(11) - sqrt(63)\/((sqrt(45) + sqrt(1125) + sqrt(45))\/sqrt(5)).\nAnswer: 34*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x - 2*x - 8*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336*s = -310*s - 364. Calculate the greatest common divisor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 696, 1398, 2100?\n\"Answer: 702*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1419909 - -11327653\/8. Let o = w - -3958. Find the common denominator of o and -68\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39364 + -13413. List the prime factors of x.\nAnswer: 25951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 + v + 6. Let a(w) = -w**2 + w + 3. Let r(u) = 7*a(u) - 4*b(u). Suppose 2*y + 3*y = 15. Is r(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.59206 - -36.60396. Let a = v + -32. What is a rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24.740812 and -0.1.\nAnswer: 2.4740812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 33*q - 27 + 5 + 48.\nAnswer: 33*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2122 + 2121.972. Which is greater: -0.16 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 111*d - 492.\nAnswer: 3*(d - 41)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1064 and 41468?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + 2*p**2 + p**2)*(-4 + 4 + 2*p**3) - p + p + p**5 - 4*p + 5*p**5 + 4*p + (-2 - p + 2)*(-13*p**4 + 0*p**4 - p**4).\nAnswer: 18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -o - 4*o. Suppose -3*c - o*g = -g - 42, -26 = -3*c + g. Solve 0*k - 3*k - s = c, 5*k - 2*s + 35 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135463851 and 104057?\nAnswer: 6121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28126 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 - 960*p**2 + 3 + 5*p**3 + 946*p**2 - 4 as d + j*p + n*p**3 + u*p**2 and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 441 + -119. Let h = 333 - q. Solve 3*c + 20 - h = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**2 + 10238*u - 81776 = 0.\nAnswer: 8, 5111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -68, -57, -28, 25?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*(1682\/58)\/((-2)\/(-2))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 12:10 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2028*o**2 - 108407*o + 922133485.\nAnswer: -4056*o - 108407","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16.1, -0.3, -1?\nAnswer: 16.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z = 39*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + sqrt(44).\nAnswer: -5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1609 and -0.0552.\nAnswer: 88.8168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1. Let n(s) = -22*s - 14. Calculate -12*m(r) + n(r).\nAnswer: -22*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/4 and 77\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2227, -4290, -6351, -8410, -10467?\n\"Answer: n**2 - 2066*n - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8*w**3 - 3*w**2 + 7. Calculate k(-3).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 55*n**2 - 498*n - 531. Calculate q(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 p when four letters picked without replacement from {p: 6, s: 4, f: 3}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 12*m - 26. What is the hundreds digit of r(-37)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1188\/63 - (-18)\/(-21). What is the nearest to 0 in 0.2, -2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 3, 63, -71, -81, 5 in increasing order.\nAnswer: -81, -71, -3, 2, 3, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002764755686 to seven decimal places.\nAnswer: -0.0027648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3970?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16864 and 56389?\nAnswer: 1804448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-10))\/(3\/5*(-251)\/(-753))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1740566640 divided by -348113328?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -72\/545087 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32993 + 32996. Sort 0.22, 1\/28, w, -1, 0.5 in decreasing order.\nAnswer: w, 0.5, 0.22, 1\/28, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32026 - -2818257\/88. What is the common denominator of s and -11\/20?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91874 and 647?\nAnswer: 91874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 7 - 9 - (2 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 1, z: 3, s: 5, i: 1}. Give prob of sequence zs.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6620 and 680.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4726 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2859*w + 114407. Give s(40).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 - 17*m**2 - 30*m - 3. List the prime factors of h(13).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 + 214\/3. Find z such that 0 + 1\/3*z**4 + 2\/3*z**3 + 0*z + y*z**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 5, -41, -143, 4, 3 in decreasing order.\nAnswer: 5, 4, 3, -15, -41, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and ((-528)\/(-77))\/((-12)\/(-280))?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f - 23*b + 20*b + 10 - 95 = 0, b - 5 = -3*f + 3*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24074*a**3 + 196005 wrt a.\nAnswer: 72222*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 7e9?\nAnswer: -7eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i + 18. Let c be n(-8). Suppose -h = -4*d - 0 - 16, -c*h = 2*d + 8. Solve h*l - l = -2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p + 2*p + 1 - 4*p + 84*p**2 + 0*p. What is the tens digit of t(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0, -1 in descending order.\nAnswer: 5, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.649? (a) 1202 (b) 0 (c) 2\/11 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/168 and 35\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7734 times 0.0577?\nAnswer: -0.10232518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3\/13 (b) -2\/5 (c) 3560\/7 (d) -2 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 0.135, -1, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duuud. Give prob of picking 1 u and 1 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-109)\/((-5)\/(-2) - 2). Let p = b - -435. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 4*j**2 - 4*j + 3. Suppose -z + 3*o + 17 = 0, 3*o + o + 85 = 5*z. Let i(g) = -z*g + 7*g + 11*g. Let l be i(5). Calculate m(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-22)\/(-6))\/(4\/12). Suppose w + 5 = 4*t. What is the greatest common factor of 32 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 13) to base 11.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*n = -21, 2*q + 2570 = -5*n + 2597 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 24 = -14*c + 9*c, -3*a + 9 = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 21*t - 8*t - 6 - 4 + 11*t. Let j be m(1). What is the tens digit of -4 - (j - 16)*63\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 5)*(-35)\/((-1470)\/(-36)). Let h(l) = l**2 + l - 2. Let f be h(-4). Is f bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, i: 10}. What is prob of sequence vv?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 377 + 43. Let o = -49 + b. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-4)\/3)\/(-4))\/((-42)\/(-504)). Suppose -6*n + 10 = 5*c - y*n, -4*n + 20 = -4*c. Solve -26 = -4*h + 2*l, 0 = 5*l - c*l + 25 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 100, 151?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) -4 (b) 1\/2 (c) 66 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 233591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -6. What is the units digit of 2\/(-1) - (-63 + s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.23 in 2\/13, -43, -3\/8, 0.036, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (306\/(-15))\/((-10)\/(-25)). Let t = 348 - x. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143049503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52379.2ml to litres.\nAnswer: 52.3792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 4. Let j(a) be the second derivative of -a**5\/20 - 7*a**4\/12 - 7*a**3\/6 - a**2\/2 - a. Let r be j(-6). What is d(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*u + 82*u - 2*u**3 + u**3.\nAnswer: -u**3 - 141*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-14))\/((-4179)\/(-58506))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1784 or -8926\/5?\nAnswer: -8926\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2 + 4. Suppose 0 = s*c + r - 7, 6 = 3*c - 3*r - 18. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110\/(-8)*12\/(-3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x + 13*x - 4*x + 70 - 70.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13859, -13840, -13763, -13598, -13315, -12884, -12275?\nAnswer: -11458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cupbm. Give prob of picking 1 p and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t = -44*t - 204 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*s - 75 - 94 = -13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from wkutwtktkttttttt.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -811298 divided by 1.\nAnswer: -811298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 8. Let s be l(-14). Let o be 6\/(-4) + 38\/4. Let t = o - s. Put t, -1\/4, 4\/5 in increasing order.\nAnswer: -1\/4, 4\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 - 6*l - 90. Calculate w(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 24. Let f be r(9). What is the greatest common divisor of 22 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -408860 or -408898?\nAnswer: -408898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 3:39 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39739215?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 20*f**2 - 43*f + 121. Calculate k(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -158\/95 - -24\/19. What is the second smallest value in -1.3, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -50.97.\nAnswer: 25.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 - -90. Let j be 3*(2 + -1)\/1. Suppose 0 = u - 3*y, 4*u - j*y - 30 = -3. What is the greatest common factor of i and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-15))\/((-2)\/10). Let d = 40 + -23. Suppose -19*j - 6 = -d*j. Put -5, j, y in descending order.\nAnswer: y, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1509.71 - -1541. Round z to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eei when three letters picked without replacement from dhhhmemehmhhhhiedeed.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/5 and -12\/79.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 483, 968, 1453?\n\"Answer: 485*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 13*m + m)*(3 - 2*m**2 - 3).\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347*o**3 + 84*o**3 + 85*o**3 + 99*o**3 + 91*o**3.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 505483984 and 3281?\nAnswer: 3281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 - 1 - 2 - 2 + 6 + 0 - 2 + 3 + 2 + 1 + 1 - 2 + 5 - 4 - 3 + 1 + 4 + (0 - 2 + 1)*(-3 + 2 - 1))*(3*x - 2*x + x) to the form i + y*x and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -291*o**3 - 6480*o + 46656\/5 - 2547*o**2 - 13*o**4 - 1\/5*o**5 = 0.\nAnswer: -24, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 15*i - 5. Let v be p(-15). Let g = v + 52\/11. Let l be (-15)\/(-13) + (0 - 1). Which is the third smallest value? (a) g (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000393775162 to six decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132330 + 23?\nAnswer: 132403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (-2 + 1 + 5 + (-40 - -29))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-6)*6\/4. Suppose -417 = 91*a - 53. Put n, 0, 5, a in descending order.\nAnswer: 5, n, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42511? (a) -5 (b) 0.2 (c) -4 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**4\/4 - r**2\/2 - r + 131. Let g(w) = 4*w**3 - 9*w**2 - 4*w - 4. Let t(f) = g(f) - 3*v(f). Calculate t(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7831364817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 6. Let o be v(5). Let s = 6 - 3. Let z = 6 - s. Which is the nearest to -0.1? (a) o (b) 4\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 0*q**2 + q**2 - 1 + 2*q**2 + 1 + (-q + 0*q + 0*q)*(-2 + q + 2) - 4*q**2 + 0*q**2 - q**2 to the form p*q + t*q**2 + m and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*v**2 - 55112\/7 - 664\/7*v.\nAnswer: -2*(v + 166)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 20*s**2 + 21*s + 7. Is 28 a factor of w(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1957 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -303343*d + 398736 wrt d.\nAnswer: -303343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 81*q**3*y + 4*q**3 + 2*q**2 + q*y - 2847*y - 2 wrt q.\nAnswer: 243*q**2*y + 12*q**2 + 4*q + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.244576 + 0.04.\nAnswer: 0.284576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 7*x**2 + 5*x + 8. Let b be i(6). Let g be b\/(-5) + 2\/10. What is the third smallest value in 0.2, g, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31006035 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 less than 0.3?\nAnswer: 155.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4*w - 2*w + 31 = 0, 194158*w = 3*f + 194162*w + 55 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.542 - -1.642. What is the smallest value in g, 5, -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 1. Let m be -16 + (-22 - -9) + 30. Let d(x) = -7*x**3 - 7*x**2 + x + 4. Give m*d(f) - 4*h(f).\nAnswer: -3*f**3 - 7*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -122597 less than or equal to -17\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -8. Is (5\/(-2))\/(d\/(-20)*-2) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuuuud. Give prob of picking 1 d and 1 u.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c - 45 = -257 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -2. Let r be -1*1\/k*-3. Let x(m) = -m. Let u be x(r). Solve u = -2*g - 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = -3*o + 63. Let h(r) = -r**3 - 14*r**2 - 2*r + 7. Let c be h(-14). What is the highest common factor of c and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1340)\/(-20100))\/((-1)\/(-8)).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20103 (base 4) to base 8.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 60*w + 1099. What is the units digit of o(84)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -4*r - 0*r. Let w be r\/(-7) - 4\/(-14). Let a = 5 - 10. Sort a, 1, w in ascending order.\nAnswer: a, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -82, -1\/5, -13, 11?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/6 and -29\/254?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-3)*(-42)\/(-28). Calculate the greatest common divisor of 6 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 9*m - 5*m = 5, -3*z = -4*m + 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 11:12 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(11) - ((sqrt(11) + sqrt(66)\/sqrt(6))**2*-5 + sqrt(11)) - (sqrt(99) + -4)).\nAnswer: -3*sqrt(11) + 222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28495.1 and 419?\nAnswer: 11939446.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 2119?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -144 (base 5) to base 9\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20674869 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k - 268 + 203 = 295 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1023 and 198.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 32 = 4*y. Let i be 1*(1 + (1 - y)). Let b(c) = -c**3 - 6*c**2 - 7*c - 6. What is the units digit of b(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 14*y**5\/9 + 21008*y**4\/3 + 44992*y**3\/9 - 81028*y**2\/9 - 15002*y\/3 + 18004\/9 = 0.\nAnswer: -4501, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11944, -11913, -11848, -11731, -11544, -11269, -10888?\nAnswer: -10383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188 and 3478.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 4*k + 44, o = -4116*k + 4118*k + 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7 + 19036*u + 8 - 24 + 9.\nAnswer: 19036*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p = 0. Let c(x) = -9*x. Let g be c(p). Suppose y - 8*y + 98 = g. Solve -y = -3*i - 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144\/17 + -2688\/221. Let i = 1163\/62 + -30156\/2015. Let f = v + i. Which is bigger: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p**2 - 2*p**2 + 4*p**2)*(3 + 1 + 0) as u + s*p + o*p**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -50833\/3 != -16944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -7 + -32 + 56 - 20\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.10788861 and 3?\nAnswer: 0.32366583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84091 is divided by 144?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37891819715\/542 + -69911083. Let z = o - -4\/271. What is the common denominator of z and (20\/224)\/(-4 + 429\/110)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1860 divide 1194120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(0 + 1\/(-5)). Let c(s) = s**3 - 2 + 7*s**2 - 3 - 8*s + 10*s. What is the remainder when c(o) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g - 2. Let t(h) = -h**2 + 5*h + 5. Let n = -153 + 152. Let z be t(n). Put g, z, -5, -4 in decreasing order.\nAnswer: g, z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -4, 0.5 in ascending order.\nAnswer: -4, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - (-11 + 11 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -262 - -436. Suppose 0 = -5*x + 91 + m. Suppose 0 = 2*w + 2*n - x - 19, 0 = 5*w - 4*n - 144. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -1. Suppose 5*z - 59 + 54 = 0. What is the smallest common multiple of z and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5\/7 - 24*f**4\/7 + 94*f**3\/7 - 104*f**2\/7 - 96*f\/7 + 128\/7 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 5:40 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6271*i + 9253. Let w(h) = h. Determine f(w(x)).\nAnswer: -6271*x + 9253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -14*d - 13*d. What is the greatest common factor of 158 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*q = -68*q - 1 - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6315393710 - 15704.\nAnswer: 6315378006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 4*10\/4. Let v = n + -2. Calculate the remainder when 21 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -k - 2236 + 2228, 0 = 4*k - b + 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 11*j**2 + 23*j - 73. Let i be c(10). Calculate the highest common divisor of i and 1045.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.3848201 and 10?\nAnswer: 73.848201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4420441.\nAnswer: 29, 152429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -325429 + -0.13577.\nAnswer: -325429.13577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3473 + 3470. Let q = -3.3 + -10.7. Let o be (-2)\/(-7) - (-12)\/(-140). Which is the third biggest value? (a) s (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (117 - 105 - (0 - -8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**3 - 4*k**3 + k**3 + (-2*k + 3*k - 6*k)*(-2*k**2 + 4*k**2 - k**2) - 2*k**3 - 3*k**3 + 6*k**3 to j*k**3 + n*k**2 + z*k + m and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b6578 (base 14) in base 10?\nAnswer: -3667070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*h**(1\/3))**8 assuming h is positive.\nAnswer: h**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - y + 14. Let r be q(-14). Let f = r + 853. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23548 and 746228.\nAnswer: 21640612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3429505183 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*k)*(8*k - 18*k + 12*k) - 175*k**2 + 177*k**2 + 17 - 50 in the form y*k + x + q*k**2 and give x.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18073952 divided by -1196\nAnswer: -15112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 173.06 + 0.94. Let o = 178 - c. Sort 2\/9, -21, o.\nAnswer: -21, 2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 32*y + 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 55 - (-6 + 119) - -44\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 157.9 - 169. Let u = -1.3 - -10.4. Let m = p + u. Which is the third smallest value? (a) 1\/3 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*q - 60390, 2*t + 2*q + 120715 = -3*q. What is t rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654791600 to the power of 1\/3, to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a - 3041 = 403*a + 3583 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89705509 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4446739 is divided by 139.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*q - 9 = 0, -g - 3*q + 40 = -5*g. Suppose 0 = -3*y + 2*y + b + 3, 2*y - 9 = 3*b. Let s be (y\/(-2) - g) + -3. Sort s, -5, -4 in decreasing order.\nAnswer: s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x + 3 = 0. Suppose 88 = 5*r + 53. Solve 0 = -2*d - 0*d + f + 14, -d = x*f + r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(2 - (2 - 1)). What is the third derivative of 497*d**5 + 3*d**s - 471*d**5 - 3*d**4 + 22*d**2 wrt d?\nAnswer: 1560*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 372418 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -4, 2, 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 1430437*y\/4 - 447010.\nAnswer: -(y - 357608)*(4*y - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*i, -2 - 1 = 2*j + 3*i. Let d = 6 + -4. Differentiate -j*r + d*r + 5 - 6*r with respect to r.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 14 = -4*v, -4*v + 7*v - 18 = 3*s. Calculate the common denominator of -9\/4 and 1\/v*(-294)\/(-616).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-488344)\/(-106)*18\/24 - -3. Let s = x - 3458. Find the common denominator of s and 49\/2.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-22))\/((-568)\/3124).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 34 = -3*b, 23 = -k - 226*b + 224*b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 + 0 - 4*f + 10*f**2 + 7. Suppose 40*s = 128*s + 215 - 743. Let q(n) = 6*n**2 - 4*n + 6. Give s*q(g) - 5*k(g).\nAnswer: g**2 - 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 17. Let j be 1\/((-20)\/(-18) + -1). Let n be g(j). Let z be (1\/(-2))\/(2\/(-16)). Solve 4*k - n = z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48443\/10 - -4839. Calculate the common denominator of -91\/230 and l.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p - 11. Determine q(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 618 - 114. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3970\/581 or 6?\nAnswer: 3970\/581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63264 and 7776?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + -53. Suppose -2*q + s = -16. What is the greatest common factor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-61065659.\nAnswer: 3053282.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 4:45 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y + 27 = -8*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 + -99. What is the common denominator of (((-693)\/p)\/(-7))\/(-3 + 0) and -81\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqs when three letters picked without replacement from qsqqqqqq.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 44*g**3 - 13*g**2 - 6*g + 6. Let x(c) = 132*c**3 - 40*c**2 - 17*c + 17. Let h(t) = 17*o(t) - 6*x(t). Find the third derivative of h(m) wrt m.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.4 - 3. Let z(o) = o**3 + 4*o**2 - 3*o - 11. Let p be z(-4). What is the closest to 0 in p, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**5 - l**4 + 1884*l**3 - 2*l**2 - 399*l - 2 wrt l?\nAnswer: 180*l**2 - 24*l + 11304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*l - l - 30*l + 200 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 2086991, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -759 - -1639. Suppose -19*g + 6 = h. Is 4 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvffvvfffv. What is prob of picking 3 v?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231.862 millennia to years.\nAnswer: 231862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k - 9. Let o be i(-6). Let a be 1 + (-1 - 6\/o). Suppose 0*s + 21 = 4*s + 5*g, 5*g = 25. What is the second biggest value in -0.04, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from qqqpqlqqpqqqqluk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 2. Let m be n(0). Let o = -3 - -2.9. Which is the third biggest value? (a) -0.3 (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3)\/(o*o**(1\/8)))**(-41)\/(o**16*o**10) assuming o is positive.\nAnswer: o**(811\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/15928 and 29\/43300268.\nAnswer: 86600536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/5)\/(q\/((q*q**(1\/3)*q)\/q*q*q)))\/((q\/(q**3\/q))\/q*q*q*(q\/q**(2\/3))\/q*q) assuming q is positive.\nAnswer: q**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -932 + 932. Let z(q) = -q**3 + 4*q**2 + 1. Let f be z(4). Let b be 24\/(-858) + 4\/22. What is the nearest to f in u, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -185 - -29?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3*(-6)\/(-106). Let m(f) = 4*f**2 + 19*f + 23. Let i be m(-12). Suppose i*c = 373*c. Which is smaller: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 932 a factor of 1143700878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 12*a**3 + a**2 - 2. Let x be j(1). Suppose x*p = 699 + 555. List the prime factors of p.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-3\/8)*o\/o**(-3))**(1\/28))**(-34))**(2\/45) assuming o is positive.\nAnswer: o**(-493\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 53*k**8\/56 - k**4\/12 + 7*k**2\/2 - 22*k. What is the third derivative of i(v) wrt v?\nAnswer: 6360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*(sqrt(1377) + -5 + sqrt(1377) + 1 + 3))**2.\nAnswer: -32400*sqrt(17) + 4958100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, l: 2}. Give prob of picking 2 l and 2 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.47022ug to nanograms.\nAnswer: 8470.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5655 and 390?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96 - (357 + -336 - (-2 - 4)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 39.41.\nAnswer: 39.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t - 10 + 95*t**3 - 12 - 25 wrt t?\nAnswer: 570*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -t + 5. Let l be 44*-1*t\/(-6). Let n be (-1695)\/(-7) - 8\/56. What is the highest common divisor of n and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqagdaqdgaggaduglddg. Give prob of sequence qu.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + m**2 - m - 1. Let v(k) = 2*k**3 - 26*k**2 - 90*k - 78. Let d(u) = -6*l(u) + v(u). Factor d(x).\nAnswer: -4*(x + 2)*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/18*1*(0 - -2). Solve -d + 8\/3*x**3 + 7\/3*x**4 - 2\/3*x + 2\/3*x**5 + 2\/3*x**2 = 0 for x.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 + 2*o**2 - 2*o**2 + (3*o - 3*o - 6*o)*(-7*o - 6 + 6) as i + w*o**2 + z*o and give w.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 30.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 118414495, 118414491, 118414485, 118414477, 118414467, 118414455?\n\"Answer: -k**2 - k + 118414497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.7 + -0.3. Let j be 9\/(-6) + (-2)\/(-2). Let r(z) = -z**2 + 5*z + 123. Let y be r(-9). Which is the nearest to -2\/3? (a) j (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1 (c) -2\/417 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7}. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1\/1308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.3. Let u = 12 + -12. Which is the second smallest value? (a) u (b) -0.02 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Suppose -10 = -y*t + 2. Let k(d) = -4 - 6*d + 3 + 0 + t. What is k(4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -854*q**2 + 3. Let z(i) = -i**2. Determine n(z(a)).\nAnswer: -854*a**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 3*m + 8 - 7*m + 12*m - 24. Calculate a(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 16 + 14 = 0. What are the prime factors of 8514\/63 - b\/7?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5120?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -4)\/(5*(-1)\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6764*c - 6762*c = 27*h - 79, -3*h + 4*c + 5 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28 - 0.08. Let s = -7 + 7.05. Let q = s + -0.25. What is the third smallest value in q, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 < -2527\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2383784426 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 312 + 140. Let l = k - -158. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.8 + -0.2. Let d = 14.9 + b. What is the biggest value in d, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 373*w - 11913. Is 39 a factor of h(117)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -34. Let o be (-9 - z - -3)\/(-14). Sort 3, o, -0.4, 4 in ascending order.\nAnswer: -0.4, o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4520569495 to the nearest integer?\nAnswer: 67235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1599*a**4*y**3 - 75*a**4*y + 2*a**3*y + a**2*y + 2*a*y**3 + 33*y**3 - 62*y**2 - 4 wrt a.\nAnswer: 38376*a*y**3 - 1800*a*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1750 is divided by 110?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*a**2 + 13*a - 13*a - 26*a**2 - 156*a**2 + 47*a**2 - 97*a**2 + (2*a - 2 + 2)*(-2*a + 0*a + 0*a).\nAnswer: -269*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 232 + 260 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 16111.8\nAnswer: 96670.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(228) + 1*sqrt(228)))\/(-4*(sqrt(12)*3 + sqrt(12))).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10117909 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 11*r. Let b(f) be the second derivative of -f**3\/3 + 9*f. Give b(s(t)).\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 divided by -59?\nAnswer: 197\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13544 - 13530. Let y(u) = 9*u - 120. Determine y(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 291*q**2 + 23349 - 23349 + 17*q in the form m*q**2 + x*q + y and give m.\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 54, 1618, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/864*24)\/((44\/(-8))\/(-11)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7189 - -7191. Which is the second biggest value? (a) -4 (b) -1 (c) w (d) -34\/9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(416) + (sqrt(1664) + sqrt(26))*4)\/((-5*sqrt(18))\/sqrt(9) - sqrt(200)*6).\nAnswer: -32*sqrt(13)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2770 + -2770.1. Sort 8, -11.4, b.\nAnswer: -11.4, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 0.5, -2\/3, 0.141?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10471 and 525814.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -191 - -196. Let y(d) = -17*d**2 + 3*d - 11. Let z(m) = -6*m**2 + m - 4. Let s(o) = -3*y(o) + 8*z(o). Let x(u) = 4*u**2 - u + 2. Give p*x(n) - 7*s(n).\nAnswer: -n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*s**2 + 22*s**2 + 13*s**2)*(0*s + s + s) + (s**2 - 2*s**2 + 0*s**2)*(0*s - s - s))*(-4 + 1 + 2) to the form g + c*s**2 + j*s**3 + i*s and give j.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 60 = 16*r - 6*r - w, -4*w + 64 = -4*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284717055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 15*n**4 - 275*n**3 + 1200*n**2 + 11835*n - 12810. Let y(a) = -8*a**4 + 137*a**3 - 597*a**2 - 5917*a + 6406. Let t(l) = -3*g(l) - 5*y(l). Factor t(j).\nAnswer: -5*(j - 16)**2*(j - 1)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*q + 29 = 0, 12*r - 41 = 8*r + 5*q. Let i(d) be the first derivative of -3\/4*d**4 + r - 9*d - 5*d**3 - 21\/2*d**2. Let i(w) = 0. Calculate w.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 2*y + 20. Let p be n(6). Let l(w) = w + 1. Let b be l(0). Let m = b - p. Solve 2*z = -g - 2, 0*z + m*g - 26 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*v + 2, 3*v + 1 = q + v. Let w = 1 - q. Let f be (0 + w\/(-1))\/2. Solve -2*j + 5 - 1 = f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/2*(-2)\/(-3). Let p = 38 + -35. Let g(a) = -8*a + p*a**2 - 30 + 39 + 5*a**2 - a**3. Determine g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 2*t = -15*n - 48398, 4*n = 4*t + 48396. What is n rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60976*o - 60868*o + 3672 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*m - 578 = 118*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 0 - (4 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*d + 72*d + 2 - 29*d + 3*d**2 - 20*d + 15*d**3 to the form i*d**3 + c + u*d + r*d**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -596 + 839. Let c(p) = -p**3 + 14*p**2 - 21*p - 27. Let y be c(12). What is the highest common divisor of w and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -1\/5, -2, 111?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1553816292.\nAnswer: 2, 3, 7, 18497813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4767?\nAnswer: 3, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 571892717 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29205 divided by -9?\nAnswer: -3245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7486732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 85002243 divided by 381\nAnswer: 223103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**2 + 0*j**2 + 3*j**2)*(-3*j**2 + 2*j**2 + 6*j**2) + (2 - 7 + 3)*(-4 + 3 - 4)*(214 - 214 + 26*j**4).\nAnswer: 250*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8716584 and -4704129.\nAnswer: -13420713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3607*m + 3607*m - 5*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28841?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 128 = 5*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -11. Let x be (-150)\/u + 6\/18. Is x at least as big as 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1239888474.\nAnswer: 2, 3, 11, 223, 28081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -47 (b) 0.4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {g: 4, e: 2, p: 4}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -95141\nAnswer: -3\/95141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20117 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1044*q + 42958*q + 68363*q.\nAnswer: 110277*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -22. Suppose 3*f - 202 = 26. Let y = f - p. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1812\/5, 5, -2\/15, 1\/4.\nAnswer: -2\/15, 1\/4, 1\/3, 5, 1812\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-6030)\/(-549) - 11). Calculate the greatest common divisor of 19 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 7087998?\nAnswer: 177199950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1469, 5861, 13161, 23357, 36437, 52389, 71201?\nAnswer: 92861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 1. Let j(z) = -3*z - 7. Let k(g) = -j(g) - 4*m(g). Let r be k(5). Put 2, r, -5, 3 in ascending order.\nAnswer: -5, r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4059 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b. Let w(r) = r**2 + 24*r + 97. Let o be w(-5). Let m(k) be the first derivative of -5\/2*k**o + 0*k - 5. Calculate m(u(v)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 - (-3 + -5 + 19 - 5)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 4:12 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 5*f - 7 + 6 = 7, 7 = -3*d + 2*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2277.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 5*w + 5*p - 4, 5*w - p - 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 589 or 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is caa2 (base 13) in base 4?\nAnswer: 12320122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s**3*t + 352*s**2*t**3 - 4*s**2*t + 40009*s*t**3 - 2*s*t**2 wrt s.\nAnswer: -24*s*t + 704*t**3 - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n. Let k be 2\/8*14*(-1 - -3). Does 4 divide t(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**3 + 4*h**3 + 2 - 2*h**3 - 4*h**3 + h**2 to the form j*h + x*h**3 + k*h**2 + l and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 255*x + 1482. What is i(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.2426 and 1.2.\nAnswer: 2.4426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11\/2)\/(b**(2\/25)*b)*(b**0\/b)**10)**23 assuming b is positive.\nAnswer: b**(-19067\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.0524 (b) -4 (c) -4\/15 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 - 6*c - 5. Let k(o) = -1316*o. What is w(k(l))?\nAnswer: -5195568*l**2 + 7896*l - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*q + 22*q - 91. Solve 2*n - q = 3*v, -7*n = -4*n - 5*v - 21 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -95*m - 12915. Give u(-136).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**2 - 2*p + 1. Let t be k(1). Suppose -7*j + 5*j = -10, 2*y - 5*j + 7 = 0. Suppose -y*a = a. Solve a + t = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -19*g + 175. Calculate u(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -805555.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*v + 5, 4*n + 2 = -3*v + 19. Calculate the highest common divisor of 8 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -312030 - 13140?\nAnswer: -330220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*w - 87*w + 133 + 46*w)*(4*w**2 - 8*w**3 - 4*w**2).\nAnswer: 16*w**4 - 1064*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*v**2 - 402*v**2 + 792*v**2 - 1337*v**3.\nAnswer: -1337*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*k + 461 - 464 + 3*k**3 + 23*k + k**2 to p*k**2 + l + c*k**3 + d*k and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38057129, 38057124, 38057119, 38057114?\n\"Answer: -5*j + 38057134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 15 - (-8 + 7)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 15 = 3*u, 0*f + f - 3*u + 15 = 0. What is the nearest to f in -0.1, -5, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8536847 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11111101 (base 2) to base 11\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (2 + (-1 - 1)). Let f be 4\/2 + (3 - p). Does 8 divide f*5\/((-30)\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w. Let x be r(-6). Suppose 2*h - x + 14 = 0. Let l be 1\/2 - 6\/h. Let t(f) = 2*f**2 - 2*f - 2. Give t(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 65*r - 657?\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -h - 0*h + 4*u, 2*h + 5*u = 57. Let o = h + -20. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/((-432)\/(-1215)) + (-2)\/(-4). Let o(n) = -n + 5. Let g be o(0). Solve -3*y - p = 4*u, g*y = -3*u + 3*y - 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -346.56 + 24.8778.\nAnswer: -321.6822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/31)*m**2\/m*(m**(-2))**(3\/10))**3 assuming m is positive.\nAnswer: m**(156\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.48 - -11.532. Let v = s - 19. Round v to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**4 - 96*p + 96*p + p**2 - 12 + 7 as w*p**4 + t + c*p**3 + h*p + x*p**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54734*k**2 + 27652*k**2 + 27637*k**2.\nAnswer: 555*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, e: 2, t: 2, c: 2}. Give prob of sequence ct.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -145, -601, -1361, -2425, -3793, -5465, -7441?\n\"Answer: -152*z**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 17164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -5. Let z be (-2 - 2\/1)*(g + 2). Differentiate 12*h**4 - 7 - h**2 + h**2 + 4*h**z wrt h.\nAnswer: 64*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.8873659 to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 161*u**2*w**5 - 112*u**2*w**2 + 6*u*w**5 + 4*w**2 wrt w.\nAnswer: 9660*u**2*w**2 + 360*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2378692 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 2:38 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.37 times 0.613\nAnswer: 0.83981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d - 3*d)*(-2 + 1 + 0)*(2*d**2 - 5*d**2 + 2*d**2)*(-4*d**2 + 5*d**2 - 3*d**2).\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 793.004 hours in microseconds?\nAnswer: 2854814400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = 2. Let m(w) = -59*w**3 + 2*w**2 + 2*w + 1. Is m(b) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12091487, -12091489, -12091491, -12091493?\nAnswer: -12091495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110 - -106. Let u(p) = 37*p**2 - p - 2. Is u(r) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2 + 4 - 6 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -17. Suppose -5*b = -h + 26, 0 = h + i*b + 8 + 2. Let y be (-2)\/h - (-70)\/30. Calculate the greatest common divisor of 6 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.174 + 9.174. Let x = 0.7 - -0.3. What is the smallest value in x, u, -6\/11, 1.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 387, 4, 3, 5, 1 in increasing order.\nAnswer: 1, 3, 4, 5, 18, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.0099.\nAnswer: -0.00396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 0.03717552.\nAnswer: 0.13717552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 - -72. Suppose 3*v + 2*t - 6 - 13 = 0, -t - z = 0. Solve 5*o - 13 = v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132.62 + -137.62. Sort -0.5, -51, -3, -0.2, g.\nAnswer: -51, g, -3, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -17. Solve 4 + f = -4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 697*p + 951*p - 610*p - 2*p**2 as y*p + f*p**2 + w and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 45.6 (b) -2\/29 (c) -0.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**3 + 12*x**3 - 4*x**3.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -3, 1, 17, 51, 109, 197, 321?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*j - 4 + 4)*(-2 + 2 + 1)*(-4 - 4 + 5).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30362*u**4 + 9*u**3 + 21084409*u?\nAnswer: 364344*u**2 + 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 7:25 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 15*o - 140. Let f(r) = -44*r + 141. Let g be f(3). Determine m(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12\/25 of a milligram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3) + 3 + (-3 - -27 - 14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -670600 to the nearest 10000.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 4*i + 36 = 0, 20*i = 25*i - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 = 4*m, 0 = -4*x + 2*x - m + 26. Let h be (12\/15)\/((-12)\/(-870)). Let g = h - x. Calculate the remainder when g is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 180 - 10 = 0. Solve 12*p + r = 10*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*f - 45*f + 17*f + 14*f + 24*f**2 in the form l*f**2 + b*f + v and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u - 2. Let v be t(-3). Let a(d) = d**3 - 11*d**2 + 18*d + 5. Let k be a(9). Solve 25 = k*o - 5*z, -2*o + 0*z + v = -5*z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3586733 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 79*d**3 - 3*d**2 + 5*d - 3. Calculate the remainder when 291 is divided by c(1).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-3)*2\/(-3). Suppose 0 = 5*n - 4*n - 69. Let j = -135\/2 + n. Sort 3, j, c in decreasing order.\nAnswer: 3, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/7*(18\/(-27))\/(40\/(-630)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2891 by 59.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2123686 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453477276 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 964474153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -84) + -16 - (-1 + (-2 - -2))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*m + 6, 0*v + 4*v = 5*m + 1. Suppose v*p - p + 18 = 0. Let q be ((-8)\/p)\/((-8)\/(-12)). What is the closest to q in -4\/7, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from euedyjumj. What is prob of picking 1 y, 1 u, and 2 j?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -210 + 68. Let d = 145 + i. Let s = -0.14 + 0.08. Which is the closest to -2\/3? (a) s (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002978218 a multiple of 2249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3251625695?\nAnswer: 5, 71, 151, 60659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -768 = -u - 5*x, -x = -4*u - 2*x + 3015. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20480949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -60. Solve 5*y + p + 4 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 27*f + 140 = 3*w, 165 = 3*w + 6*f. Solve -5*z = 4*b - w, 4*z + 5 - 25 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*-4*(-1)\/8. Suppose p - 312 = u - 5*u, q = 3*u + 2*p - 239. What are the prime factors of 2\/(-3) + u\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -265*z - 170. Let p be u(-6). Suppose -4*b = -2*b - p. Does 27 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957918687?\nAnswer: 3, 11, 19, 79, 83, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137\/8 - -17. Let q = 0.077 + -0.777. What is the biggest value in -1\/7, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 531676, 1063157, 1594638, 2126119, 2657600, 3189081?\n\"Answer: 531481*p + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27059, 27057, 27055, 27053?\nAnswer: 27051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/99 + (-97)\/(-11). Suppose 5*u = b + 15, 2*b + 3*u = 5*b + i. Factor 0*h + 1\/3*h**5 + b*h**2 + 0*h**3 + 0*h**4 + 0.\nAnswer: h**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:27 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*z, -5*b + 19 + 1 = -2*z. Suppose 5*p - b*s + 396504 = 0, -3*p + 0*p + 3*s = 237906. Round p to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 - -4?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + w - 1. Let z be v(1). Let r be (-2 + 2\/z)\/(-4). Suppose -3*i - 4*j = -1603, -1633 = -3*i + 2*j - r*j. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3.8. Let h = l + -7.2. Let k = 8 + h. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 22 and -19.08697506?\nAnswer: 41.08697506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451907151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*f - 8*f + 5*f**5 + 6*f**5 wrt f?\nAnswer: 220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1))\/f*f*f*f**(-7))**(21\/2) assuming f is positive.\nAnswer: f**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5272 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -3)\/(11 - (-92)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/598856 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1. Let o = -885 - -884. Let f(j) = -6*j**2 + 24. Give o*f(k) + 24*z(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12, -43, -132, -309, -604, -1047, -1668?\n\"Answer: -5*b**3 + b**2 + b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (33301\/172)\/((-2223)\/104). Let b = 172\/19 + g. Which is bigger: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + d**2 + d + 33. Let t be q(0). Let o be t\/(-44) - (-46)\/8. Let l(p) = p**3 + 4*p**2 - 3*p - 9. Let i be l(-4). Solve 4*g = i*g + o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/6*30\/25. Solve 1 = t + s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -877 + 881. What is the third smallest value in -90, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/178940 and 81\/43568.\nAnswer: 5010320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 15\/13, -10331, 3 in decreasing order.\nAnswer: 3, 15\/13, 1\/10, -10331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2187 and 11745.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 6972.\nAnswer: -1\/6972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - f**2 - 3*f. Let l(r) = -3*r**3 - 4*r**2 - 8*r. Give 8*a(g) - 3*l(g).\nAnswer: g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -2)**2*2 + sqrt(72) + (sqrt(72) - (0 + sqrt(72))) + 0.\nAnswer: -42*sqrt(2) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 11*x**2 - 10*x + 5. Let d be h(10). Suppose -2*p + 17 = d. Let m(k) = -k**3 + 5*k**2 + 6*k - 1. Give m(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3 + 99*s**2 = 0. What is s?\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 234567, 234568, 234569?\n\"Answer: u + 234566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and (-9)\/(-12) + (-291)\/(-12)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -25.74. Let v = 183.766 + -184. Let k = d + v. What is k rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -35. What is the closest to 2\/3 in 3, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -6*y**3\/5 + 48*y**2 - 1182*y\/5 - 1428\/5 = 0.\nAnswer: -1, 7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 + 2*r**2 - r**2)*(r + 2*r - r).\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vrqqvqqv.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*h**3\/5 - 1432*h**2 - 94783*h\/5 + 204 = 0 for h.\nAnswer: -60, -17, 1\/93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 2*b**2 + 1. Let o be (-2)\/(-2) - (-1)\/1. Let i be (-17)\/(-1) + o\/(-2). Let h be 28\/i - 1\/(-4). Determine s(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**3\/5 - 2*v**2\/5 + 15*v + 216\/5 = 0.\nAnswer: -8, -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 9 + 1 = 4*j, -14 = -3*r + 4*j. Let o be (-3)\/r - (-14)\/4. Factor -1 + f + 2 - 3*f**2 - f**o + 2*f**2.\nAnswer: -(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = -3*s + 3, 2*p - s - 8 = 0. Solve -p*w = -5*g - 5, w = -4*g - 0*w + 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005191834971 rounded to seven dps?\nAnswer: 0.0051918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 d when three letters picked without replacement from {d: 2, j: 2, g: 2, i: 1, q: 1, k: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) -0.4 (c) 5 (d) -0.1 (e) 92.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/21)*w)\/w**(-1\/6)*(w*w**5)**(-38) assuming w is positive.\nAnswer: w**(-3175\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001010010101100 (base 2) in base 16?\nAnswer: 214ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1 + 284*g**3 - 266*g**3 to the form d*g**3 + s*g + l + n*g**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132012 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3302 - -1?\nAnswer: 3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 243782 and -0.1019.\nAnswer: -24841.3858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*t**4 + 11*t**4 - 25*t**4)*(3 + 1 - 6).\nAnswer: 72*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.1. Let d = 0.1 - k. Let l = 1007\/5 + -202. Which is the nearest to l? (a) 1 (b) -0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f + 2. Let v(j) = -3. Let x(l) = -l - 7. Let q(z) = 5*v(z) - 2*x(z). What is -6*i(t) - 13*q(t)?\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 + -57. Let u = j - 121\/2. Find the common denominator of (28\/(-100) + 1)\/((-1)\/15) and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4697399, 9394810, 14092221, 18789632, 23487043?\nAnswer: 28184454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 14) to base 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 2}. What is prob of picking 2 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 392*j - 73 - 404*j.\nAnswer: -12*j - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -820 + 8197\/10. Calculate the common denominator of 31\/104 and r.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260694161 to the power of 1\/4, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 748940127*v**2 + 427500480*v wrt v?\nAnswer: 1497880254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 49*x**2 - 3*x + 9. Is z(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 479*l**3 + 475*l**3 - 941*l**3 + 1 - 2*l**2 + 27*l + 6*l**2 to the form o*l + y*l**2 + d*l**3 + w and give o.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/(-5) + 1 + -1 and (-3)\/(-24)*-11 + -3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 4*r - 3*r - 4 + 4*r. Let o be t(3). Solve -4*x = -3*b + 32, -4*x - x - o*b = 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5559823, 11119646, 16679469, 22239292, 27799115, 33358938?\nAnswer: 38918761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - d. Let u(p) = p**3 - 13*p**2 - 3*p - 4. Let m(o) = 3*k(o) - u(o). Suppose 455 = 60*n - 145. What is m(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/2816 and 123\/373120.\nAnswer: 746240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -38*v**3\/3 - 2. Let s(h) = 6912*h - 3467*h - 3453*h. Calculate m(s(x)).\nAnswer: -2432*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*n - 82*n = -683 - 1177 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15\/13 + -71\/39. Let s = 0.02 + 0.98. Let j = s - 0.9. Which is the nearest to j? (a) x (b) -0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11448*r**3 + 11435*r**3 + 11434*r**3 - 34323*r**3 + 0*r**2 + 0*r**2.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*t + 326*t = -5*l + 67, 0 = -2*t + 4*l - 38 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 8\/5 + 14\/5*l + 4\/5*l**2 - 2\/5*l**3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 17 = 8*c. Is (-139)\/(1 - (c - 2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-11 - -8) + 20\/2. Let r be -10*(-2 + 3\/x). Let b(s) = 20*s - 15. Let q(l) = -l + 1. Calculate r*q(f) + b(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88506016 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 - 378*l**3 + 5280*l**2.\nAnswer: 3*l**2*(l - 110)*(l - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*s - 22 = -q, -2*q - 3*s - 9 = 0. What are the prime factors of -5*(-490)\/75*q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -6112?\nAnswer: -6110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -49.27. Let f = -0.03 - j. Let q = -0.08 - -0.38. Which is the nearest to 2\/7? (a) q (b) f (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/6, -1.1, -5\/3, 5, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128*n + 510 - 510)*(-8 + 5 + 14 + 1 - 2 + 3 + (-1 + 1 + 5)*(0 - 2 + 4)).\nAnswer: -2944*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -205 + 208. Solve -3*s = -4*s - o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1547*a**3 - a - 8. Let w(v) = 3093*v**3 + 2*v + 18. Calculate 9*m(p) + 4*w(p).\nAnswer: -1551*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**4 - 52*p**3 - 43*p**2.\nAnswer: 48*p - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -4, -14, -9 in decreasing order.\nAnswer: 2, -2, -4, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15201 = 16*a - 10431. Solve 0 = a*v - 1599*v - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1\/2)*m))**(1\/4)*m**(-4\/5)*m\/m**(-1\/2) assuming m is positive.\nAnswer: m**(33\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*(1*sqrt(156)*6 - -1*sqrt(156)*-5))\/(-3*(sqrt(1452) - ((sqrt(1452)*2 - sqrt(1452))*3 - sqrt(1452)))).\nAnswer: sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -4. Suppose j*z + 9 = 2*z. Let k = z - -5. Solve 0 = 3*c + k*c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 270414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6376 or -6374?\nAnswer: -6374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 6438744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(153) - 1*sqrt(153)) + sqrt(153)\/sqrt(144))*1)**2.\nAnswer: -5*sqrt(17)\/2 + 417\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1821166 divided by -2\nAnswer: -910583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/9 - (602\/(-12))\/(-7) - (-24)\/(-48). Let t = 4 - 2. Let m(d) = -d - 2. Let l be m(-3). Sort 0, p, l, t.\nAnswer: p, 0, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 6*i**2 + 8*i - 4. Let c be z(4). Let l(r) = r**3 + 5*r**2 + r + 2. Determine l(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let n(m) = -32*m + 11*m + 6 + 17*m. Let y(z) = n(z) + 3*o(z). Calculate y(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4434.\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/15, -60, 0.1 in increasing order.\nAnswer: -60, -2\/15, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 56585.3 (c) 0.4 (d) -3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 2*n + 10. Solve n*g + 0*g = 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t**3*v**3 + 93*t**3*v**2 - 16*t**3 + 1027*t**2*v**3 + t**2*v**2 - 18*t*v**3 + 7*t + 5*v**2 wrt v?\nAnswer: 24*t**3 + 6162*t**2 - 108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*(-2 + 2 - 6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-161)\/(-105) + (-36)\/30. Which is bigger: g or -81?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26a - 30231?\nAnswer: -3049b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8310 is divided by 49.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 377850009?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 3, 42.\nAnswer: -4, -2, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.091910679 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419458 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94722550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2326 - -1376. Is 4\/18 - m\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*x**3 - 758690*x**2 + x - 134772528?\nAnswer: -21*x**2 - 1517380*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 262919.6 millennia in years?\nAnswer: 262919600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26053717, -26053720, -26053723?\n\"Answer: -3*y - 26053714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -4 - (111 + -109 - (88 + (3 - 4)))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10405 + 62287\/6. Calculate the common denominator of d and 65\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 17*v - 17. Let d be p(-18). Let j(y) = -3*y - 22. Let w be j(-6). Sort 2, w, d, -5.\nAnswer: -5, w, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25959\/2 + (-3)\/(-6). Suppose 5*u = -2*v - i, 5*v - 4*u + 30954 = -1562. What is v rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -1 + (97 - 122) + (-1 - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 3:02 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 697, 417, -843, -3083?\n\"Answer: -490*r**2 + 1190*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -92321 and -738563\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4*u)*(3 + 2 - 3)*(-7 + 4 + 7).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*s - 123*s - 3*h - 26 = 0, -2*h = 3*s - 13 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/41, -5\/6 in decreasing order.\nAnswer: -2\/41, -5\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 5910?\nAnswer: 11820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-286419)\/(-27278)*(1 + -1 + (-10)\/(-14)).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 1425.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 6*w + 0*w)*(0*w + 0*w - 3*w**2) + 3*w - w**3 - 2*w + 0*w**3 + (-18 + 18 + 15*w)*(3*w - 10 + 10)*(6*w - 9*w + 0*w).\nAnswer: -142*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10*5 - 5. Calculate the remainder when 47 is divided by (-2)\/j - 441\/(-27).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*n - 4430*n + 5878*n = -15498*n + 1201900 for n.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 7*o + 18. Suppose -8 = f + f, -5*f - 12 = -4*b. Let y be z(b). Solve -4*l + 16 = -y*l - 2*w, 0 = -3*l + w + 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/(-30))\/(2\/5))\/((-2)\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**6\/120 - w**4\/12 - w**3\/3 - w**2. What is the tens digit of z(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = -0*u + 334 + 40. Let c(a) be the second derivative of 10\/3*a**3 + 0*a**2 + 0 + u*a + 5\/12*a**4. Suppose c(w) = 0. What is w?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5333629, -21334521, -48002665, -85338055, -133340685, -192010549, -261347641, -341351955?\n\"Answer: l**3 - 5333632*l**2 - 3*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.1, -105\/8?\nAnswer: -105\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -5, -30, -75, -146?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 2. Let l be f(2). Let c = 39 + -38. What is the closest to 1\/4 in l, c, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 435\/1498 + -1\/214. Let i = -76 - -71. Which is the biggest value? (a) k (b) 0.3 (c) i (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a - 6. Let l(h) = -5*h - 9. Let m(b) = 2*l(b) - 3*s(b). Let w(o) = -5*o**2. Calculate m(w(j)).\nAnswer: -40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - m**2)*(-3*m + 4*m + m)*(-11*m - 3*m + 0*m).\nAnswer: 28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -196*i**5 - 1652*i**4 - 3712*i**3 - 592*i**2 + 1408*i - 256 = 0?\nAnswer: -4, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**6\/60 + y**5\/20 - y**3\/3 + 26*y**2. Let l be f(-2). Solve -p - 3*k - 2*k = -l, 5*p - 10 = -k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 5*z + 16 = 0, 2*c - 4*z = 155 - 177 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 - -411. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**3 - 31*q**2 + 7*q - 397. Give y(11).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1976, 3963, 5964, 7985, 10032, 12111?\n\"Answer: g**3 + g**2 + 1977*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 5 + 5)*(9 - 5 + 7)*(3 + 1 - 5)*(-62 + 0 + 145).\nAnswer: -913*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 36. Let i be t(-12). Let p be (30\/i)\/(1\/(-12)). Suppose -m + 371 = 4*z, 2*m + p = 7*m. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6866 * 66\nAnswer: -453156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.4 to one decimal place.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/81*(-207204)\/557.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5086 (base 10) to base 2.\nAnswer: 1001111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2124)\/5192*(-22)\/60\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 3 = 3*b, 4*g + 5*b = 83. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/21166 and 5\/98032.\nAnswer: 1862608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 229\/728 - 3\/104. Suppose j + 5*l + 14 = 0, 4*l - 1 = 2*j + 5*l. Is j greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0 = -72. Let z be (-18)\/(-702)*705 - ((-54)\/(-26) - 2). Is z less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20837220601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*s - 46*s = -68. Suppose -13*p - 172 = -s*p. Suppose 6 = 4*c + 2, -3*c = 5*w - p. Solve -k = k - w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, l: 5}. What is prob of sequence lv?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -2, 0 in descending order.\nAnswer: 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4222310 and 570.\nAnswer: 240671670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0 = 308. Let l(t) = -3783*t - 41464. What is the remainder when l(-11) is divided by m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/2 - 102*j**3 - 7803*j**2 - 265302*j - 6765201\/2.\nAnswer: -(j + 51)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 20*d**2 + 3. Let s be m(-20). Suppose -2*x - 4*g = -378, 5*g + 604 = s*x + 92. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4327042.822 - 4338875. Let o = 11812 + l. Let a = o + 20. What is a rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 115*w + 2 - 4*w**3 + 115*w to f*w + c + l*w**2 + n*w**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/(d**(4\/5)*d))**36 assuming d is positive.\nAnswer: d**(-864\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 16. Let h be i(9). Suppose 2*k - h = -7. Let x be 1 + 5\/(-20) - 125\/220. Is k at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*j + j**2 - 90*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -82*w**2 + 22*w**2 + 0*w + 0*w. Let x(v) = -v. What is h(x(c))?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 5:46 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*j**2 - 81*j**2 - 68*j**2 + 21*j**2.\nAnswer: -99*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggjx when four letters picked without replacement from xggxjxxxggxxgzxggj?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/3 + 8728*x**3\/3 - 4761124*x**2 + 10388772568*x\/3 - 2833537717922\/3 = 0. Calculate x.\nAnswer: 1091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**3)\/(f\/(f*f*f**(-12))))\/(f\/(f\/f**(-5))*f**(2\/13)) assuming f is positive.\nAnswer: f**(-106\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.242 + -1.242. Which is the nearest to -1\/8? (a) 4 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -617 + 827 + 3 + -69.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6*b = -5*b - 6, -33 = -5*t + 2*b. Suppose -8*p - 25 = -13*p, l - 5*p + 25 = 0. Suppose -35 = -t*g - l*g. Are g and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5 - 320832*h**4 + 25732651381*h**3 + 102935418054*h**2 + 25735859740*h - 154403608344 = 0.\nAnswer: -3, -2, 1, 160418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2199387572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Let l(w) = 3*w**2 + 938*w + 1595. Give l(v(z)).\nAnswer: 3*z**2 - 938*z + 1595","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -240.1 + 240. Which is smaller: -0.11 or m?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3723409553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.035 (b) -3597 (c) -2 (d) -0.2 (e) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 134614 (base 10) in base 3?\nAnswer: 20211122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 0*o**2 + 0*o**2)*(6*o**3 - o**3 + 7*o**3).\nAnswer: -24*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4873399, 3, 0 in descending order.\nAnswer: 4873399, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 165041873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - c**2 - 36 + 40. Let m(o) = o**2 - 1. Let q = 7 - 3. Let r(l) = q*m(l) + y(l). Let t(f) = -f**2. Calculate t(r(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 10, s: 2}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1074 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n + 4*t = 0, 3*n + t = 4. Suppose n = -3*g + 2. Suppose 3 = a, -2*p + a + g*a + 1375 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17081?\nAnswer: 19, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6 = -c. Suppose 3*d + 0*t = -c*t + 254, -4*d = -2*t - 334. Suppose 2*x - 5*z + d = 3*x, -111 = -x + 4*z. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f - 65405. Let t = f + 1556579\/119. Let q = t - -9045\/238. What is the common denominator of 47\/10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(30)\/sqrt(3) - sqrt(10)) - sqrt(10))\/(sqrt(72)\/sqrt(4)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g + 171 - 180 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in 1.092, -1\/5, 4\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**2 - 2*i**2 + i**2 + (-2*i - 2 + 2)*(-i + 2*i + i) + 2*i**2 - i**2 - 2*i**2)*(-2 + 1 + 0) - i**2 - i + i to the form l*i + d + k*i**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-2*sqrt(364) - sqrt(364) - sqrt(364)))\/sqrt(7))\/((sqrt(88)\/sqrt(2)*-1)\/sqrt(11)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(2\/5))\/((-12325)\/(-290))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-5) - (-33)\/(-15). Let v be 11*(-1 + f) - -2. Let r = v + 52. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in 1, -0.01, 3, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 476*d + 48. Let t be b(7). Suppose -9*p - p = -t. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -3*i + 7, -2673 = -3*i - 2*s - 2674 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 28 + 3*i**2 - 16 + 7*i - 4*i**2 + 7. What is the remainder when 20 is divided by f(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**3. Let c(f) = 13*f**3 + 11*f + 11. Let u(b) = -7*b**3 - 6*b - 6. Let x(i) = 6*c(i) + 11*u(i). Calculate 2*p(k) + 7*x(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j + t - 5*t = 149, 0 = -11*t - 12*t + 28*t + 100 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(8)\/(sqrt(4) + (sqrt(4) - sqrt(4)*2 - sqrt(4)))).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**2 + 17*i + 15. Let z(k) = 2*k**2 + 8*k + 7. Let u(o) = 6*p(o) - 13*z(o). Let n be u(-1). Let q(c) = 2*c - 5. What is q(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*g**5 - g**4*n**3 + 18*g**3 + 7*g**2*n**3 - 16*g*n**3 wrt g.\nAnswer: 300*g**2 - 24*g*n**3 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3+-1213\nAnswer: -1216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) 4 (c) 2\/3 (d) -5\/6 (e) -9.91 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -0*r + 8*r. Let p be -7 - (1\/(-2)*r + -1). Let m(y) = y**2 + 6*y + 2. Give m(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 2:21 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 3.3. Let d = 3.2 - p. Let s = 0 - d. Which is the closest to -1? (a) 5 (b) 1\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49981 and 662.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119766595?\nAnswer: 5, 13, 19, 37, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 3:22 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1864282 divided by -3599?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 12:28 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 9*m = n - 3022, 5*n = -m + 1026. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, u: 2, e: 1, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(896\/(-392))*(-24)\/(-78).\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 38 + 37. Suppose -2 + x = h. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(14)\/sqrt(2)) + sqrt(6))\/(sqrt(30)\/(sqrt(10) + sqrt(10)*1)) + 1*sqrt(800)*-6.\nAnswer: -116*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -274, -272, -268, -262, -254?\n\"Answer: o**2 - o - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.83443 * 3.87.\nAnswer: 7.0992441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -5, -6, 16, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 144, 247, 350?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c. Let b(x) = 1470581*x**2. Calculate o(b(r)).\nAnswer: -11764648*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaj when three letters picked without replacement from {y: 2, a: 2, d: 1, j: 4}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20540 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -3\/5*l**2 + 15*l + 0 + 7\/15*l**3 + 1\/50*l**5 - 1\/6*l**4. Factor g(t).\nAnswer: 2*(t - 3)*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, g: 2, q: 1, x: 5, e: 1}. What is prob of sequence qej?\nAnswer: 1\/720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -731\/5 or -145?\nAnswer: -731\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p, -6 = -4*q - 0*q + p. Suppose -q*v = -3 - 3, 4*l + 3*v = 21. Let y be (-8102)\/(-3) + (-2)\/l. What is y rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1826 rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -23.2. Let k = d - -0.2. Let f = -2570 + 2575. Which is the third biggest value? (a) k (b) 12 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -1\/6*u**3 + 0*u - 3\/8*u**4 - 9*u**2 + 0. Determine w(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {i: 11, s: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 187*w - 183*w = 6, -2*w = -5*q - 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = t, -2*n - n = -t - 4. Let j(z) = 16*z + 0*z + 11 + 4. Let i(w) = -w - 1. Let u(h) = t*j(h) - 2*i(h). Differentiate u(p) with respect to p.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/6)\/w)\/w)\/w*w*w**(-4)\/w assuming w is positive.\nAnswer: w**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -126*g + 43*g + 41*g + 40*g + 115 + 40 as l*g + o and give o.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10521169 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**2 + 2139*i + 2142 = 0 for i.\nAnswer: -1, 714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8609 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 7, 0, -8 in decreasing order.\nAnswer: 11, 7, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292741 is divided by 430908?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*z + 223*z = -5028. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.14689733 to two decimal places.\nAnswer: 13.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 0*w + 3 - w + 0*w + 5*w. Let i be d(5). Let p = -6 + i. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 16*q**2 + 69*q + 21. Calculate z(11).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 1 (c) -0.5 (d) 8397 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106 + 98. Let l(m) = 3*m**2 + 5*m - 11. What are the prime factors of l(v)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*f + 55*f + 4 + 142*f - 2*f**2.\nAnswer: -2*f**2 + 232*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i + 4141 + 2710 = 43*i + 1751 for i.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -36527175.\nAnswer: -2\/36527175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 11*y = -5*v - 29, v = -y - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3242715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -11. Suppose 2*s - z*s = -72. Let q = s + -15. Calculate the remainder when 81 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + w + 6 = x, -5*x + w + 26 = 0. Let i be 69\/15 - 3\/x. Let y be 6*i + (-6)\/(-3). Calculate the highest common divisor of 208 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - v + 10 = -2*v, 0 = -2*a - 2*v. Suppose -a*f = -7 - 3. Suppose -4*k + f*d + 54 = -k, -2*k - 5*d = -36. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(68))**2 - (sqrt(612) + 0).\nAnswer: -6*sqrt(17) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25804112?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*q + 4*q = -4, 0 = -3*u - 2*q + 20. Suppose -213 + 222 = 3*t. Solve -u*v = -t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5 + 6 = 2*k, 4*k = f - 7. Factor -176*i**f + 179117 + 5065*i**2 + 2*i**4 + 289395 - 85184*i + 743*i**2.\nAnswer: 2*(i - 22)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 3*x - 108, 3*m - 9*x - 5 = 49 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12*(-1)\/(-3 - -5). Let u(h) = 14 - 5 - g*h**2 - h**3 - 3. Let b(w) = w**3 + w**2 - 1. Calculate 6*b(s) + u(s).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5346 (base 11) in base 7?\nAnswer: -26415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i - 2. Let b be n(2). Suppose -r + b + 8 = 0. Calculate the remainder when 61 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-5) + (-6093)\/(-13520). Let k = 2\/169 + q. Let r be 1\/(-29) + (6 - (-8148)\/812) + -20. What is the third smallest value in r, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from arexwrexarxrxr.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 877 - 17421\/20. What is the common denominator of -93\/76 and f?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 6766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 1 - 21 - (11 - 3)) + 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 1\/147779290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15 + -120)\/15 - -12) + 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, 33, -1 in decreasing order.\nAnswer: 33, 0.1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 58, 2, 21 in descending order.\nAnswer: 58, 21, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**3 + 3*b**2 + b + 1. Determine i(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*w**5 + 51*w**4 - 101*w**2 + 8*w + 1 wrt w.\nAnswer: -540*w**2 + 1224*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -430643649 rounded to the nearest 1000000?\nAnswer: -431000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 2\/9, -2\/9, -155, 1\/7 in ascending order.\nAnswer: -155, -2\/9, 1\/7, 2\/9, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 - 134*t - 45 in the form s*t + i and give s.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3356, 6816, 10276?\nAnswer: 13736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.4 (c) 0.12 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -87*n**3 + n**2 - n - 1. Calculate the lowest common multiple of u(-1) and ((-864)\/(-42))\/((-5)\/(420\/(-24))).\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 divided by -3380?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1001100010110 (base 2) to base 6\nAnswer: -34342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2651 + 3.\nAnswer: 2654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-10) + 50687\/(-1560) + (-4)\/(-6). Which is smaller: -32 or s?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*o + 18 = -25, 4*o - 5 = -i. Let u = 23 + i. Solve 6 - 14 = -2*w, -2*d + u = 4*w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u + 4*c + 12 = 0, -3*c = 27*u - 26*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -944369952.4 rounded to the nearest ten thousand?\nAnswer: -944370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 0 + 0*v + 1\/120*v**6 - 7\/24*v**4 - 7\/6*v**3 + 5*v**2 + 1\/12*v**5. Suppose 0 = -4*d - 9 - 15. Give b(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 561 + -647 + (-6 - -164)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 52 = 50. Suppose 29 = t*n - 16*n. Calculate the remainder when n is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v + 12. Let y be m(6). What is the greatest common factor of 96 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*q, -3*m - 5*q = -0*q + 22. Does 10 divide (m + 14)\/(2\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 403473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 19 - 9*u + 11.\nAnswer: -9*u - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 3697*w**4\/24 - 2819*w**3\/6 - 3*w**2 - 377. Differentiate b(k) wrt k.\nAnswer: 3697","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 32. Suppose -2*u = 10, 0*n + u = 3*n + 37. What is the units digit of h(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjj. What is prob of sequence jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = l + l - v, -2*v - 24 = -2*l. Let s(n) = 2*n + 9. Is s(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*z**2 + 44*z**2 + 9*z**2)*(2*z**2 + 1 - 1)*(-1 + 2 - 5)*(4 - 4 + 4) as j*z**4 + n + s*z**2 + m*z**3 + y*z and give j.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011110011111100 + 11?\nAnswer: 1000011110011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/4 and 77\/2956.\nAnswer: 2956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.414, -36, 2\/5?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 381, 380, 379, 378, 377, 376?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2479397\/6 - -415240. Let g = l - 2013. Let h = 214283\/18 + -11898. What is the common denominator of g and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/348 and 83\/9113946?\nAnswer: 18227892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 12*a**2 + 37*a + 26. Let h(p) = -18*p**2 - 55*p - 41. Give 7*h(v) + 11*w(v).\nAnswer: 6*v**2 + 22*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.5, -125, 2\/11 in decreasing order.\nAnswer: 0.5, 0.2, 2\/11, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86961*w**2 + 7887*w**2 - 21*w + 34*w - 13*w.\nAnswer: 94848*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b = -22*b + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.95 - -0.05. Sort v, -1, -4, 3.\nAnswer: -4, -1, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 - -5.09. Let q = h - 4.9. Let d = -0.3 + q. Which is smaller: d or 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6)*(-1 + -2)*-2. Suppose 3*t + 2*t = -3*o + 253, 0 = 4*o + c*t - 332. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-1*-2 + (-4*-1*sqrt(136) - sqrt(136)) + sqrt(136))\/(-2*sqrt(72)*-2 + (-4*-1*sqrt(72) - sqrt(72)) + sqrt(72)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -q + 8*n - 6, 0 = 62351*q - 62356*q - 2*n - 76 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3742390.\nAnswer: 2, 5, 374239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1405 (b) -2\/3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k*k**8)\/k)\/k)\/k**9)**(1\/38))**34 assuming k is positive.\nAnswer: k**(-34\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -371*p**3 + 2*p**2 + 4*p + 3. Let f be s(-1). Suppose 0 = 218*n - 217*n - f. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4416 = -45*n + 10*n + 14484. What is the remainder when n is divided by 61?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 16*p - 30 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 1. Let b(a) = -a**3 - 8*a**2 + 6*a + 10. Let c(n) = -b(n) + 5*q(n). What is c(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - v - 1. Let z(o) = 7*o**2 + 6*o + 11. Let t(j) = -6*h(j) - z(j). What is the derivative of t(f) wrt f?\nAnswer: -26*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10803864 is divided by 220487.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 22300.\nAnswer: 111500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 19*c**3 + 3*c**2 - c. Let h(v) = 18*v**3 + 2*v**2. Give -4*h(a) + 3*u(a).\nAnswer: -15*a**3 + a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 7*y + 59. What is the second derivative of -r**y + 0*r**3 - 24*r**4 - 16*r + 0*r**4 - 28*r - 129*r wrt r?\nAnswer: -288*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j - 3. Let f(h) = h + 1. Let c(r) = 4*r + 2. Let u be (0 + -3)\/((-3)\/(-2)). Let z(m) = u*f(m) - c(m). Give 4*o(i) - 3*z(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3235 greater than or equal to 3274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + sqrt(2057) + sqrt(2057)*1 - (2*sqrt(2057) + 1))*6 + 0)**2.\nAnswer: 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 21)*390\/(-8). Calculate the highest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**12\/(n\/n**(24\/7))*n**(-3\/2)\/n*n**(-5\/2))**(-2\/29) assuming n is positive.\nAnswer: n**(-132\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.7, -5, -3, 14\/5 in increasing order.\nAnswer: -5, -3, -0.7, -0.4, 14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(3*sqrt(10)) - (sqrt(56) - sqrt(14))\/sqrt(7).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 205 - 4*a**2 - 7*a - 200 - 2*a + 3*a. Let l(p) = -6*p**2 - 9*p + 7. Let w(i) = -7*k(i) + 5*l(i). Let c(x) = 2*x**2. What is w(c(q))?\nAnswer: -8*q**4 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 equal to -374\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**2 - 6*q - 5. Let x(c) = 1 - c**2 + 11*c**2 + 18*c + 15. Let g(y) = -7*j(y) - 2*x(y). Calculate g(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - w = 8, -14 = -2*r - 5*w - 39 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11998 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 10:26 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2240 = -2*d + 2*s - 2220, -2*s - 8 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 6, 0*h + 2*h + 11 = 5*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -572 (base 9) to base 13.\nAnswer: -2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 3 - 249*v**2 - 131*v**2 - 2*v + 815*v**2 + 10.\nAnswer: 435*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 911096110 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**2 + 29024*v - 105299072 = 0.\nAnswer: 7256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627\/7 - (13 + 609\/(-49))?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 14*p - 130. Give q(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 33*k + 245. Determine g(-25).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 45 - 29 + 116 = -14*c, -6*o + 3*o = 190*c - 185*c + 44 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 554*k + 1. Let p be u(-2). Let l = -781 - p. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 - 4*p**3 + 20*p**3 + (286*p**2 + 83*p**2 - 142*p**2)*(-5*p - p + 4*p).\nAnswer: -437*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 16 = 3*n, -3*n + 6*v = 2*v - 19. Let s(p) = p**3 - 2*p**2 + 7*p. Let r be s(n). Calculate the highest common divisor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(68) + sqrt(68))\/(sqrt(4) - sqrt(144)*1).\nAnswer: 9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12359268 is divided by 4889.\nAnswer: 4765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7139.498 centuries in years?\nAnswer: 713949.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + k = 0, 24*g + k = 22*g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -o - 11*n + 10*n, -2*n - 4 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 266 divided by -135\nAnswer: -266\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49685 + -0.6537.\nAnswer: -49685.6537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 875 = 18*d. Let s = d - 119. Solve -3 - s = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 1019934, 9, -1 in descending order.\nAnswer: 1019934, 9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by 199420?\nAnswer: -3\/7670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + -2)*4)**2.\nAnswer: -640*sqrt(17) + 27264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10*5\/(-15)*3. Let l be (-5)\/n + 6\/4. Suppose -11800 = -l*j - w, -5*w + 442 = -j + 6342. Round j to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) + (-40)\/(-154). Let w(k) = 7*k**2 - 26*k - 8. Let y be w(4). Suppose -3742*v + 3748*v + 12 = y. What is the biggest value in i, -1, v, -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2 - 44286*u + 163437483 = 0. Calculate u.\nAnswer: 7381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 9202 = 5*w, 185*w - 181*w = 5*y - 46068. Is y a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 225.25 and 2.156382.\nAnswer: 227.406382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 64, 13, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-123)*630\/(-210).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a5 (base 13) to base 16.\nAnswer: a6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*u**2*v**5 - 2*u**2*v + 51*u*v**5 - 4411*v wrt v.\nAnswer: -100*u**2*v**3 + 1020*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738*j + 7038 = -432*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2395560 and 82646820.\nAnswer: 165293640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 372.736 kilograms to micrograms.\nAnswer: 372736000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65966.22ml to litres.\nAnswer: 65.96622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2138.756 centimeters?\nAnswer: 21387560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 73 = -253. Solve -5*u - 32 = 4*y - 5, 0 = 4*u + 2*y + q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**3 - 6*h**2 - 8*h + 6. Suppose 50*g - 233 - 67 = 0. Let q(o) = -o**2 - o + 1. What is g*q(z) - c(z)?\nAnswer: 5*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*c - 24, -12 - 6 = -4*c + 2*n. Suppose -c*d + 5 = 2*d - 2*f, 1 = d + f. Calculate the remainder when d is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5529)\/(-3537) + 31906\/(-20511)?\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 1487610.\nAnswer: 10413270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-21 + 4 + (14 - -17))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7922564*i - 28440*i**2 - 7922564*i.\nAnswer: -28440*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-6)\/(-9)*45\/(-10). Suppose -n = n + 4. List the prime factors of f\/n*124\/6.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7172448?\nAnswer: 2, 3, 74713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 8 = -4, 0 = -k - 2*n + 129. Suppose 5*o = -c + 40, 8*o = -5*c + 4*o + k. Solve -23 + c = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0305096l in millilitres?\nAnswer: 30.5096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 3:26 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16142869 - -4146.\nAnswer: 16147015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59944?\nAnswer: 2, 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2222034 divided by -199.\nAnswer: -11166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5570526*u**4 + 145*u**2 + 2*u + 897 wrt u?\nAnswer: -133692624*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.15 - -0.65. Let p = -9 - -13. Suppose -2*n - 2*b = -5*n + 10, p*b - 12 = -2*n. What is the smallest value in -0.2, v, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 407501490 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 2\/5 (b) 2\/11 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 3:45 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-12) + 16\/6. Let l(h) be the first derivative of 0*h**3 - 5*h + r*h - 5 + h**3. Suppose l(a) = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55537 is divided by 6892.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m + 6. Let t be k(-7). Let r be (-48)\/(0 + 2 + -1). Let c = r + t. Calculate the remainder when c is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9722569 greater than 9722571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 145, 409, 819, 1399?\nAnswer: 2173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 402.5 - 403. Let p = -2 - 2. What is the nearest to 0.1 in 5\/4, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2 and 7\/2110.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -41. Let z be (-5)\/4*(8\/(-2))\/i. Suppose z*a = -0*a + 465. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*f**3 + 30*a*f**3 + 6*f**3 - 89*f**2 with respect to a.\nAnswer: 2*a*f**3 + 30*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 852823173 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z + 0*z - 3*z + (1 - 1 + 2)*(4 - 4 + z) + (-1 + 1 - 1)*(3*z + 2*z - 4*z) - 5 + 5 + 3*z + (z + 0*z + 0*z)*(4 - 1 - 2).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {m: 1, n: 1, z: 1, o: 2, j: 1, d: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 752769887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55356 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9102724 or -9102726?\nAnswer: -9102726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9*3\/(-6)*-4*1. Suppose -5*y + r = 8. Find the third derivative of 59*l**3 + 26*l**6 - 59*l**3 + 14*l**y wrt l.\nAnswer: 3120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/9, 0.14, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 10 + 6*d**3)*(5*d - 16*d + 0*d).\nAnswer: -66*d**4 - 33*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 2)*(-116)\/8. Let q = -14 - s. What is the highest common factor of 60 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (77*z - 42*z - 36*z + 45)*(5 + 0 - 3) to k + j*z and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 0.7, -4, 0.15, -0.1 in increasing order.\nAnswer: -4, -0.6, -0.1, 0.15, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - j + 0*j)*(-59*j**2 - 8*j**2 - 61*j + 63*j - 1) to v*j**3 + a*j + d + p*j**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 82*b = -79*b - 9, -o + 2*b + 6 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 389*o**2 - 32*o - 479. Is y(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n + 9*n + 2*n**2 + (n - 4*n + 5*n)*(0*n - 2*n + 0*n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = 3*r + r, -5*r = -3*p + 2. Suppose 0 = -5*a - 2*i + 73, -a + 0*i + 17 = i. What is the least common multiple of p and a?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-69)\/(-15) + 15\/(-25) - -578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7c81 (base 13) to base 10\nAnswer: 17512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1193, 2358, 3523, 4688?\nAnswer: 5853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.89 - 4.89. Let x = 7\/4 - 57\/28. Which is bigger: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242522 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22630 + 22636 + 7*m**2 + 2*m**2 - 45266 + 6*m**2.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1118\/837 - 2\/837. Suppose 10 = 7*r - 9*r. What is the closest to -1\/4 in 1, f, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*a = 70. Suppose -d + 84 = -3*q, 5*d + 15 = -q - 13. Let h = q - -50. Calculate the lowest common multiple of a and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, f: 11}. Give prob of sequence fjf.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2072198 divided by 349\nAnswer: 2072198\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1963*m**2 + 2*m**3 - 183*m**2 + 877*m**2 - 2410*m**2 - 13.\nAnswer: 2*m**3 - 3679*m**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 + 565*s**2\/2 + 40042*s + 39760.\nAnswer: (s + 1)*(s + 280)*(s + 284)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -3, 1\/9, 0.07 in descending order.\nAnswer: 3, 2, 1\/9, 0.07, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1320 (base 8) to base 11.\nAnswer: 5a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(187)*1)\/(sqrt(33)\/sqrt(3)*-1).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 divided by -2270.\nAnswer: 71\/2270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15062, 15076, 15090?\nAnswer: 15104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*b**2*v**4 + 8*b**2 - 2*b - 2*v**4 wrt v?\nAnswer: -16*b**2*v**3 - 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000151766212 rounded to seven decimal places?\nAnswer: -0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*h - 56 = 0, 2*a + 2*h = -2*a - 26. Let u be (-4)\/((-12)\/a) - -4. Which is smaller: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28728, 28745, 28772, 28815, 28880, 28973?\n\"Answer: k**3 - k**2 + 13*k + 28715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26336927*z**3 + 2*z**2 - 2*z - 1374896 wrt z?\nAnswer: 158021562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2154 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3)**(-6\/29) assuming x is positive.\nAnswer: x**(-18\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k\/((((k*k*k*k**(-2\/11)*k*k)\/k*k*k)\/k*k)\/k)*k)\/(((k\/((k*k*k**(-9))\/k))\/k)\/(k\/(k\/(k\/k**9*k)))) assuming k is positive.\nAnswer: k**(-229\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k = -4. Suppose 32 - 36 = -k*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**5\/60 + q**4\/6 - q**3\/6 + q. Let k(x) be the second derivative of w(x). Determine k(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 166*n**3 - 36*n**3 - 21.\nAnswer: -202*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.13 take away 0.1?\nAnswer: -7.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -1110?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 506360 by 25318.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199 - 194. Let z be -1 + 8 + (-4 - u). Which is the closest to -1? (a) -1\/7 (b) z (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222001100010 + -12200?\nAnswer: 222001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/49 (b) -3 (c) 2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 15*r + 4. Let u(m) = -29*m - 9. What is 5*p(k) + 2*u(k)?\nAnswer: 17*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37425 by 12475.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/176 and 29\/396.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 divided by 6.\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26\/51 - -35\/102. Sort 0.1, l, 1, 0 in increasing order.\nAnswer: l, 0, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 + 3.23. Let h = i + -5. Let f be (-6 + 70\/12)\/((-2)\/(-4)). Put f, 1, h in descending order.\nAnswer: 1, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40510, -324176, -1094168, -2593648, -5065778, -8753720, -13900636?\nAnswer: -20749688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -3802.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -251*k**2*o**3 + 6*k**2*o**2 - k**2*o - 24*k*o + 6*k wrt o.\nAnswer: -1506*k**2*o + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 342 + -312. Is (-15)\/(t\/(-6)) - -31102 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6614 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30274.8*-0.3.\nAnswer: 9082.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1872.2198127 rounded to one decimal place?\nAnswer: -1872.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28414, 28398, 28368, 28318, 28242, 28134?\nAnswer: 27988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 f, and 1 i when three letters picked without replacement from ibppibbipfidqifbbbqb.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from nhoonhnhhhnonohrohno.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n - 75 = -18*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818.35245ms to days.\nAnswer: 0.000009471671875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 6. Let v(d) be the third derivative of d**6\/120 + d**5\/6 + d**4\/12 + 3*d**3 - 26*d**2. Let t be v(-10). Sort t, r, 3.\nAnswer: r, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*b - 65 = -27, -18 = -a - 5*b. Let n = -15 - a. Which is smaller: -9 or n?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257092*o - 140489*o + 245633*o.\nAnswer: 362236*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c1 - -a1?\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0, -78, 1\/2, -2\/19?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 11:53 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1276 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3*sqrt(56)\/sqrt(4)*2)\/(sqrt(2) + 6*(sqrt(2)*-2 - sqrt(2)) - (sqrt(2) + -4*(sqrt(2) - sqrt(8)))))**2*4.\nAnswer: 1008\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*p - 28*p + 2505000*p**3 - 2504959*p**3.\nAnswer: 41*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*c + (3 - 3 + 2*c)*(1 + 0 + 1) - 6*c + 4*c + 4*c - 3*c - 3*c + 4*c + (2*c - 7 + 9 + 3)*(0 + 0 + 2) + (0 + 4 - 2)*(0*c - 4*c - 25*c).\nAnswer: -52*c + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*g - 1 - 97*g - 185*g**3 + 283*g + 72*g**3 - 90*g.\nAnswer: -113*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 114, 118, 122?\n\"Answer: 4*j + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5736833.\nAnswer: 5736833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + (-5 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (69*(-2)\/(-30))\/(6\/90*3)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 7:38 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 12, 0, -11 in ascending order.\nAnswer: -11, -2, -1, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19716*q**4 + 16*q**2 + 3757*q - 1.\nAnswer: 473184*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(3 - 3 - 2*w) + 23*w - 50 + 50 - 2*w + 4*w + w.\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: 8292736.8 + 30078\nAnswer: 8322814.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.4528 to zero decimal places.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2477159855 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-15) + (-235)\/(-2350))*(0 - -1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z - 136*z - 119*z - 4142 = 0 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 14 - 6. Suppose -v = z*v. Suppose x + 3*x - 44 = v. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139483021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 10*f**2 + 20*f - 22. Let r be l(-10). Let d be 17\/((-255)\/r)*(1 - -4). Calculate the greatest common factor of d and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**4\/24 + 11*s**2. Let o(t) = t. Determine o(h(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 350 + -353. Sort -1, 5, l, 1.\nAnswer: l, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11515 - -12095. What is the remainder when w is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 294273?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + 0. Suppose -3*n = -u - 73. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105071?\nAnswer: 105071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.122 - 11.122. What is the nearest to -1 in -2, -11, 2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a + 32. Let w be m(-3). Let y(b) = 3*b + 49. What are the prime factors of y(w)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, x: 5, e: 6, v: 2, f: 1}. Give prob of picking 1 v, 1 x, and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5556*b**5 + 2*b**4 + b**2 - 4791*b?\nAnswer: -333360*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*k - 81 = -0*k, 4*k = -16. Let i = -14 + n. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 + -1 - (-30 + 19)) + -14\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 a, and 1 l when three letters picked without replacement from cvlucceccac.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2587\/(-7761) - 3\/(27\/24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-4))\/(4\/200). What is the greatest common divisor of 20 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**6\/90 + 7*m**5\/120 + m**3\/3 - 7. Let h(l) be the third derivative of s(l). Find the second derivative of h(q) wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q**2 - 37*q + 9. Let h be b(6). Let t(f) = -f**3 + 5*f**2 - 4. Let v be t(4). Calculate the greatest common divisor of h and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1\/3, 5, -7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13108123414 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7659 - 818*c - 7664 + 15323.\nAnswer: -818*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2209 + 28703\/13. Let b = 77\/156 + y. Find the common denominator of 41\/32 and b.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1014, 0.5, 5, -7, -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 7*d - 6. Let f be m(8). Suppose -4*l + 15 = w, -f*w + l = -l + 10. Is -2\/7 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 260. Let j = 170.4 + g. What is j rounded to the nearest integer?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -2. Let j = 714 + -714. Which is the nearest to j? (a) 0 (b) -3\/8 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -343560 divided by 14.\nAnswer: -24540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-44)\/1*(-462)\/24 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*f = -19365, 0 = -4*i - 3*f + 9043 + 6449. What are the prime factors of i?\nAnswer: 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100115 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 7 = f + 638, -228 = -2*a - 4*f. What is the remainder when a is divided by 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**5\/300 - 103*v**4\/20 - 619*v**3\/30 - 1276*v**2 - 2. Find c such that l(c) = 0.\nAnswer: -1, 619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30085 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*j - 32. Let t(n) = n**2 + 1 - n**2 + 4*n + n**2. Calculate the remainder when t(3) is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 7*s. Solve 0*n + n + 1 = s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l - 587 + 137 = 0, -5*a + 3*l + 189 = -a + 102 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122 - 2333?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -18*t**2 - 6. Let b(r) = -42*r. Calculate b(g(i)).\nAnswer: 756*i**2 + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j**3 + 9*j**2 + 9*j - 13. Let q(g) = 4*g**3 + 4*g**2 + 4*g - 6. Calculate -4*c(h) + 9*q(h).\nAnswer: 4*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 83527115941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = -20. Let g be ((-2)\/j)\/(5\/10). Which is smaller: -2\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/2 - (-1)\/(-2). Let c(n) = n**2 - 6*n - 1 + 4*n + n**3 + n. Let x be c(-1). Solve z*a + 4*j = x, 7*a - 2*j = 3*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9479 - 65872\/7. Let y = -1245\/28 + w. Let t = y - 51\/2. Which is the second smallest value? (a) -3 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80265759 to the nearest integer?\nAnswer: 8959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62879479.\nAnswer: 13, 89, 54347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h - 27. Let t be k(9). Let a be ((-50)\/6)\/(3\/9). Let o = 43 + a. Calculate the greatest common divisor of t and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, b: 1, n: 1, r: 1, d: 1, j: 1}. Give prob of sequence dp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*v - 7634 + 7612 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4 = -4*x + 20, 0 = -x + 2*z + 4. Let r(m) = -m**2 + 5*m - 2. Let a be r(x). Suppose 5*g - 24 = a*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 h, 1 x, and 1 v when four letters picked without replacement from {w: 1, v: 2, x: 3, r: 1, t: 1, h: 5}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9965 and -2?\nAnswer: -19930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97732.92 kilograms to milligrams.\nAnswer: 97732920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 415a (base 12) in base 3?\nAnswer: 100202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32)\/6)\/((-3)\/9). Suppose -4*v + 23 = -3*s, 5 = -5*v + s - 4*s. Suppose -3*a + 10 + v = 0. Solve 0 = -4*h + a*t, -2*h + 5*h = -t + f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3690 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*x + o + 8, 3*x - 2*o = -19. Let g(y) = 7600*y**3 - y - 5. Let l be g(x). Round l to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 27*h - 189. Calculate the smallest common multiple of c(8) and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2509*p - 3355*p + 3923*p as n*p + m and give n.\nAnswer: -1941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 16 = -3*r + 2*r, 5*q + 11 = 4*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/(1\/(-1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2450 = -5*c + 2*g - 7*g, 5*c = g + 2462. Let o = 502 - c. Solve -2*r + 10 - o = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p = 2*z - 22, 3*z - 9 = 0. Solve 5*i = 3*i + p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -1889*x**7\/42 - 11*x**3\/6 - 58*x**2 - 10*x. Find the second derivative of j(l) wrt l.\nAnswer: -37780*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/7 (b) 0.2 (c) -0.3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-333)*(-60)\/(-126)*(-61)\/(8845\/(-174)).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, 1, 4 in ascending order.\nAnswer: 1, 4, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 58 = -40. Suppose p*d = -2*d. Let 4\/7*j**3 + 0*j - 8\/7*j**2 + d - 4\/7*j**5 + 8\/7*j**4 = 0. What is j?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 128.6298us?\nAnswer: 0.00000214383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2*2)\/(42\/(-4473))?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 43 = -3*b. Suppose 4*n + b = 104. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q + 11. Let v be f(6). Sort v, -0.5, 17, 1\/2 in decreasing order.\nAnswer: 17, 1\/2, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 8*z**2 + 300*z - 252. Let c be l(-39). Calculate the greatest common divisor of 279 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -395*(0 + -1*(-4)\/(-10)). Let w = -40 + s. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*z**4 - 3856*z**3 - 46324*z**2 - 113048*z - 28608 = 0. What is z?\nAnswer: -8, -3, -2\/7, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2629601*t + 2. Let c be r(-2). Let y = 115734585\/22 - c. Let i = -1460 + y. Calculate the common denominator of i and 73\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -178247\/15 + 11883. Which is the closest to 1\/2? (a) 1.2 (b) -5\/19 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y = 23*y + p - 22651, 4 = -2*p. What is the ten thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**3 - 3*w + 3. Let y be i(2). Let r = -15 - y. Suppose 88 = r*n - 8*n. Calculate the greatest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82959 - 52029. Does 96 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -5*d**6\/3 + 3*d**2\/2 + 11. Find the second derivative of i(s) wrt s.\nAnswer: -200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14041715, -28083427, -42125139?\nAnswer: -56166851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - -11. Suppose -4*m + 60 = j. Let q(c) = -c**2 + 6*c - 7. Determine q(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15508.\nAnswer: 2, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005965 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -228*n - 523. Calculate d(-7).\nAnswer: 1073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396a2 (base 12) to base 6.\nAnswer: 1404322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7092 - -2290714\/323. Let x(j) = 484*j - 259*j - 23 - 245*j + 2*j**2. Let y be x(11). Are y and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 - -70. What is the third biggest value in -2, r, 4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggfgffzgff. Give prob of picking 1 f, 1 g, and 1 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 102\/(-27) + (-4)\/18. Let s(a) = -a - 2. Let f be s(b). Put 0, 1, f in decreasing order.\nAnswer: f, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -9*z - 24. Suppose p = -2*p - 1614. Is 17 a factor of p\/(-12) + (-1)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-12 + -1 + 5). Let p = -24 + i. Let v be 6\/(-4) + (p\/(-9) - 2). Is -1 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/6 of a century in months?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -14 + -6 + (4 - -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39524, -78961, -118318, -157595, -196792, -235909, -274946?\nAnswer: -313903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*g*v**4 + 27*g*v**2 + 175*g*v - g - 247*v**2 - 26*v - 89 wrt v.\nAnswer: 792*g*v**2 + 54*g - 494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-9))\/(4\/18). Suppose -i = -0*i - 3*z - 16, -h*z - 24 = -3*i. Let o = 7 + -3. Solve i*l + o = -4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + a**2 + a. Let q(u) = 3*u**3 + 15*u**2 + 4*u - 3. Let y(g) = 4*j(g) - q(g). Let c be y(11). Solve 6*k - r = 3*k, -c*r = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5827671 to the nearest integer?\nAnswer: 2414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1985.575 centuries to decades.\nAnswer: 19855.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3 - 2*b**2 - 6*b**4 + 2596*b - 2594*b to r*b**4 + u*b + q + f*b**2 + j*b**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddl when three letters picked without replacement from {d: 4, l: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, 42, 171, 422, 837, 1458, 2327?\n\"Answer: 7*d**3 - 2*d**2 + 6*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1519332 to the power of 1\/2, to the nearest integer?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -39945954 - 8?\nAnswer: -39945962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*l = 5*k - 512, -4*l + k + 42 = -81 + 52 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/20 and 3 + -2 - 149\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -4 - 2) + 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**4 - 12*g**3*v + 9*g**3 + 112*g**2 + 3*g*v wrt g.\nAnswer: 48*g - 72*v + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8 (b) -1894 (c) 148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - ((-604828)\/6)\/(6*(-2)\/(-18)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -255*h + 267*h - 48 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2008, -5 in ascending order.\nAnswer: -5, 2, 2008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-435 - -442) + (-71 - 3).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4108 is divided by 172?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73202?\nAnswer: 2, 17, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y - 3. Suppose 0 = -4*m - 330 - 258. Let s be ((-4)\/14)\/(21\/m). Let t(f) = -4*f + 3. Give s*t(r) + 3*v(r).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r + 57. Let t be l(14). Let y be 0 - (t - (2 - -3)). Calculate the greatest common factor of y and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/5*2105\/1263*2)\/(16\/456).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**4 - 14*s**3 - 1 + 2*s**2 - 8*s**3 + 17*s + 0 + 21*s**3 to the form h + r*s**4 + f*s**2 + b*s**3 + y*s and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0, -15, -378, -2\/3?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -2) + -6 - -4. Sort -6, n, 2 in increasing order.\nAnswer: -6, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.267 - 185.733. Let t = -186.266 - m. What is t rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1131714, -4, 3, -32 in descending order.\nAnswer: 3, -4, -32, -1131714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 + 6*u**3 - 9*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/12)\/((-2)\/18). Does 10 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -17 (c) 674 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -8*z + 232. Suppose -2*w + 8 = f, -3*w + z - 48 = 2*f. Solve -2*d + 4 = w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 10:51 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97435*q - 97675*q = 11280 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 + 541\/10. Find the common denominator of o and 69\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3971902, 7943802, 11915704, 15887608, 19859514?\n\"Answer: f**2 + 3971897*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 9. Let b be a(9). Suppose -18 - 2 = -s + 5*y, -5*s + 4*y + 184 = b. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.3 (b) 1.07 (c) -6 (d) -2\/9 (e) 67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 22 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -12*u**3 + 11*u**2. Let n(a) = -201*a**2 + 71*a**2 + 65*a**2 + 64*a**2 + a**3. Calculate -22*n(f) - 2*x(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -13 - 16 - -10 - 25\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epeeezpeee. Give prob of sequence zp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.46 + 5.86. What is the closest to s in 3\/2, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 2*k + 26 = 0, -10*k = -9 - 41 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 57. Does 7 divide x(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Suppose t = -0*z - 4*z. Let m(k) = -k**2 + 2. Calculate m(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-2 - (13 + -11)) + (6 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*q = -q + 1760. What is the remainder when q is divided by 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**5\/60 + 5*u**4\/12 + 5*u**3\/3 + 2*u**2. Determine x(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -b - 0*n + 4, 0 = 2*n - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 - 112*s - 363 - 294*s + 435.\nAnswer: -406*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1274?\nAnswer: -1\/637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -63541 greater than or equal to -62870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -34, -36, -40, -46?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*m**4\/9 - 166*m**3\/9 - 224*m**2\/9 - 110*m\/9 - 4\/3 = 0. What is m?\nAnswer: -2, -1, -3\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00032915586 to 6 dps.\nAnswer: -0.000329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 293 - 291. Solve 2*y = -5*t + 2, 0 - u = -2*t - 2*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 27 = -4*z, 92976*r = 92975*r + 2*z + 19 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2682126 is divided by 2509.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**4\/8 - 4*w**3\/3 - 4*w**2. Does 5 divide h(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**1\/b*b))**31*b**4\/((b\/(b**4*b))\/b*b))\/((b**0\/b)**(-2\/13)\/(b**(-3\/5)\/b**(-5\/3))) assuming b is positive.\nAnswer: b**(1738\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2865, 2859, 2849, 2835, 2817?\n\"Answer: -2*d**2 + 2867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**4\/4 - 1025*k**3\/4 + 2571*k**2\/2 - 2059*k + 1030 = 0.\nAnswer: -1030, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -2\/13 (c) 4 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*(x*((x*x\/x**(-3))\/x*x*x)\/x)\/x*x)**(15\/8))**(-46) assuming x is positive.\nAnswer: x**(-690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5)\/q)**(-1\/16)*(q\/(q*q**(2\/7)))**(-7\/4) assuming q is positive.\nAnswer: q**(43\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-1))\/(3 - 5). Let z(w) = -109*w + 774. Calculate the remainder when (0 + 21*3)\/i is divided by z(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*d**3 + d**2 - 23*d**3 - 2*d + 39*d**3)*(1 + 1 - 1).\nAnswer: -4*d**3 + d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 4*x - 26, 2*x - 2*l + 4*l + 2 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/449, 1, -0.246, 7\/8?\nAnswer: 1\/449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2)*t)\/(t\/(t\/(t\/(t*t**11)))))\/(t*t*t\/t**(-3\/11)*t**(1\/7)) assuming t is positive.\nAnswer: t**(1399\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*b - 44*b - 28*b + 121*b + 130 + 2 in the form s*b + f and give f.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002006 to 7 decimal places.\nAnswer: -0.0000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 6114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-214)\/84 + (-1445)\/(-2023)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 45355307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4774724 (base 8) to base 16\nAnswer: 13f9d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152 - 1064*y**2 + 1062*y**2 + 71 + 81.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-2 - (-7 - (4 + -12))) - -8\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 178\/69?\nAnswer: 178\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -19. Let h be d - (-1)\/((-4)\/(-12)). Let r(a) be the second derivative of -a**4\/6 + a**3\/2 - 3*a**2\/2 + 2*a + 3. What is r(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2576 + -2560. Calculate the remainder when 974 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 53*c - 48*c. What is the remainder when 157 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -938, -3122, -6766, -11870?\n\"Answer: -730*s**2 + 6*s - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -17*g**4\/4 - 10*g + 1. Differentiate n(u) wrt u.\nAnswer: -51*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h**2 + 132*h**2 + 12*h - 11*h + 0 + 1 - 2.\nAnswer: 147*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*o - 2955, -5*o + 2934 = 2*r - 0*r. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 + 401 = -32*p - 195 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 o when three letters picked without replacement from gogggogooo?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040\/(-676)*(-3)\/(-6)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -252.911 + 31.911. Which is the second smallest value? (a) y (b) -0.1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 293*d**2.\nAnswer: -293*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 46 + 1093*a + a**2.\nAnswer: a**2 + 1093*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 5*s**2\/2 + 64*s + 191. Let w be h(-10). Solve w*m = 9*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0149959864 rounded to 5 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6448 by -13.\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4270189 divided by -44\nAnswer: -388199\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 5, -145, 8, -5 in ascending order.\nAnswer: -145, -5, -2, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.99 - -0.01. What is the nearest to 0 in t, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcpvbnnvvvnvv. Give prob of sequence ng.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4\/3, -4043559 in ascending order.\nAnswer: -4043559, -4\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 89992 + 8a?\nAnswer: 89a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -6)*((-22)\/(-33) - 0). Factor -2\/17*i**f + 10\/17*i - 12\/17.\nAnswer: -2*(i - 3)*(i - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 2*x + 50. Let r be y(8). Let o be r\/(-6) + ((-30)\/9)\/(-1). Solve -4*z + j + 2*j = 5, -o*j - 1 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -631*v**2*y**3 + 72*v*y + 4*y**3 wrt v?\nAnswer: -1262*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q - 25 + 25)*(1 - 5 + 3)*(-2 + 1 + 3 + (1693 + 1392 - 448)*(2 - 7 + 3))*(-5 + 0 + 4) as k + z*q and give z.\nAnswer: -21088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18539196, -37078393, -55617590?\nAnswer: -74156787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453*j**3 - 436*j**3 + 1747*j**3 - 420*j**3 - 436*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 78*g + 3. Determine f(-1).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7571*a**3 - 953516*a**2 wrt a.\nAnswer: -45426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047085.1 seconds in minutes?\nAnswer: 34118.085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(2*sqrt(684) + sqrt(684) + sqrt(684)) - sqrt(684) - (sqrt(684) + (sqrt(684) + -1)*4 + sqrt(684)))*-5)**2.\nAnswer: -22800*sqrt(19) + 6173500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*2700\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/9 - 4\/6. Suppose k*z - 5 - 4 = 0. Suppose 16 = 5*d - z*d. List 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 highest common factor of 66512 and 846496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 148 - 1193. Let l(n) = -n + 109. Let r be l(53). Suppose 2*c - y + 3 = -4*w, 2*c = -w + r. What is the highest common divisor of w and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m**2 + 11*m - 1. Let x be f(9). Let v be -5*(-5)\/(x\/(-4)). Let t be (-9)\/4 - (-5 + 3). What is the fourth smallest value in t, 7, 4, v?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -4372 (b) 2\/13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -1534755*t**2. Let i(l) = -11*l**2. Determine w(i(q)).\nAnswer: -185705355*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/560635 and 61\/24.\nAnswer: 13455240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -194*p**2 + 132*p - 14. Let b(o) = -28*o**2 + 19*o - 2. Calculate 22*b(y) - 3*x(y).\nAnswer: -34*y**2 + 22*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(2 + 0 - 1)*(4 + 5*v - 34 + 36)*(3 - 3 - 1)*(0 - 1 - 2).\nAnswer: -15*v - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -449)\/6 - -1. Let b = 80 - k. Solve 0*f + 5 = 3*a + 2*f, 0 = b*a + 4*f - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 997*j + 182*j - 10*j in the form s + b*j and give b.\nAnswer: 1169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 147 + -145. Suppose b*q - 46 = -4*s, -4*q + 0*s + 3*s = -125. Suppose -8*o + 101 = q. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 13 = -2*v + v, -4*x - 25 = 3*v. What is the tens digit of -7*(x + -3 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*560\/168?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77865\/4 - 33248223\/1708. Does 1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c**4*c)\/c)\/c))\/c*c**(-1\/8)*c*(c**(-2\/9)\/c)\/c**(-1\/9)*(c**(-1)\/(c\/(c*c\/c**3)))\/(c**3*c*(c**(-3)*c)\/c) assuming c is positive.\nAnswer: c**(-521\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -13*f + 8. Let r be l(0). Suppose 0 = r*q + 5*q. Solve -5 = -5*v - q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 21. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 + 110. Let n(f) = 7*f - 2*f - 2*f - o - 2*f. Determine n(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 12780?\nAnswer: 12780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/((1056\/(-72))\/(-22)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -115, -248 in decreasing order.\nAnswer: -3, -115, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 12. Let d(o) = -6*o**2 - 73*o + 68. Let w be d(-13). Solve -3*x = t + w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 6 - (-3 + 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3\/5 - 873*m**2\/5 + 711*m + 885 = 0.\nAnswer: -295, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-5))\/((-1)\/((-4)\/32))*32900\/(-1645).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3945 - -6155. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*6*(sqrt(130)*2 - sqrt(130)))\/(sqrt(640) + 4*(2*sqrt(640) - sqrt(640)) + -6*(sqrt(640)*-2 + sqrt(640))).\nAnswer: 9*sqrt(13)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*q + 15, 4*q - q - 21 = -4*d. Suppose -11 = -3*g + 5*v, -2*g - g = -2*v - 8. Calculate the lowest common multiple of g and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 * 169\nAnswer: -13520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30403 + -2?\nAnswer: -30410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*j - 140, 2*j + 2*y = -0*j + 144. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/71? (a) -1\/18 (b) -2\/7 (c) 328 (d) -2\/3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hccacqaqaz. What is prob of sequence qqc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 7, u: 1}. Give prob of sequence fk.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/7 - 185928*v**2\/7 - 371793*v - 1301202.\nAnswer: -3*(v + 7)**2*(v + 61962)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, -2, 4, 1, 0, -3, 3 in decreasing order.\nAnswer: 47, 4, 3, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 14 + x)*(2*x - 5*x + 2*x)*(-2*x - 2*x + 2*x) - 8576*x**3 - 7099*x**3 + 6393*x**3 to t*x**2 + g + j*x + f*x**3 and give f.\nAnswer: -9280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/15863 less than 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(((-112)\/(-16))\/(14\/3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o + 42 = 30*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3580012516 to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 969*o - 493*o - 492*o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**6 + 8*j**2 - 4*j + 4. Let a(x) = -x**2 + x - 1. Let f(k) = -4*a(k) - s(k). What is the third derivative of f(y) wrt y?\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165085297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0463437l?\nAnswer: 46.3437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -22. Let y be 2\/v*35\/28. What is the second biggest value in 0.2, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, c: 8, z: 1, y: 5, s: 2}. Give prob of picking 3 c.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + 6*(-2 + sqrt(13))**2 + (-4*sqrt(104))\/sqrt(8) + -3.\nAnswer: -28*sqrt(13) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -269*u + 3490. Let s be l(13). Let g(y) = -3*y**2 - 2*y + 5. Let b(p) = 5*p**2 + 3*p - 9. Give s*g(w) - 4*b(w).\nAnswer: w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 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: Suppose 119 = 8*g + 143. Let n(d) = -d + 4. Give n(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 1 = 0, -3*i - 5*l - 19 = i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 46*g**2 + 23*g + 13. What are the prime factors of b(-5)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2) - (-2)\/(-4). Suppose j = -a - 0*a + 2. Solve -a = 4*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 + (-48)\/8 - -5817?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r**(-1)\/r*r))**12\/(r**(-2\/5))**(-13\/7))**37 assuming r is positive.\nAnswer: r**(-962\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1002 - 84 = 6*l. Let j = -148 + l. Calculate the least common multiple of 16 - (1 + (-4 - -2)) and j.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -38\/13 = -0.0707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kklbllkkklkklllkl. Give prob of picking 1 k and 3 l.\nAnswer: 16\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 39*v - 31. Calculate x(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -490.2 + 3104.2. Is w bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(10\/2 - 8469\/6). Let h = x - -4484. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1225.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2256)\/42 - (-4)\/(-14). Let w = 57 + c. Suppose 3*y + w = 0, 4*u + 4*y - 29 = u. Calculate the remainder when 38 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4793663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/18 and 143\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 31 + 19 + 2*j)*(-17 + 17 - 21*j**2)*(3 - 1 + 1).\nAnswer: -126*j**3 - 252*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - -6) + 4 + (4 - (-8 - -4))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.7702 - 0.2098. What is a rounded to 0 dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1858204?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -27632, 0, -4, -1\/4 in descending order.\nAnswer: 0, -1\/4, -4, -27632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -2 - (22 - 20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*r*w**3 - 458988376*r*x + 2*w**3*x + 2448971*w**3 - w**2 + 2*w wrt x.\nAnswer: -458988376*r + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 340*h. Let q(o) = -56*o**2 + 10*o + 2. What is q(r(n))?\nAnswer: -6473600*n**2 + 3400*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6*(-5 + (-88)\/(-20)). Let k = 708\/7 + -101. Let i = -4 + 3. Which is the second biggest value? (a) x (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 202220110202?\nAnswer: 202220110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3692 divided by -8.\nAnswer: 923\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*1*(-1835)\/(-7707)*(-6)\/(-5)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.6 - -21. Which is the nearest to 0.1? (a) l (b) -0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -340 - -338.4. What is the closest to -2 in h, 2\/3, -5, 1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 505002?\nAnswer: -505007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 20 = -3*f. Suppose -2*d + 0*d = -f*w + 35, -5*d = 25. Solve -r = -w*i - 27, 2*i + 0*i = -10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38142 and 194296?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/4*(3 + 1 - -2499) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -18 + 29*x - 10 - 3*x + 2 - 9*x**3. Differentiate p(d) wrt d.\nAnswer: -54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 502.\nAnswer: 23\/502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 40*o**2 + 319*o - 4. Let k be x(-8). Let z(u) = 2*u + 1. Let v be z(1). Suppose 30 = -n + 3*n + k*p, 0 = 5*n - v*p - 75. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(-3*z**2 + 7*z**2 + 0*z**2)*(-4 + 5 - 2)*(3 - z - 3) to the form x + g*z**2 + c*z**3 + h*z and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -241 * -29.\nAnswer: 6989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.63 + 2.03. Which is the fourth smallest value? (a) 0.1 (b) -20 (c) w (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -2)*1\/(-2). Let h(f) = 18*f - 68. Let p be h(-3). Let s = 364\/3 + p. Which is the nearest to s? (a) -0.6 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -0.1796217?\nAnswer: 1.8203783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 345333.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7 + 3*a - 5*a + 3*a wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -39, -69, -97, -117, -123?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 30 - 2*r + r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2943 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2625 is divided by 169?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107160 by -1128.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 27*c = 48 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/11 - 120138*y\/11 - 5891564\/11.\nAnswer: 2*(y - 60118)*(y + 49)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.706 + -1.706. What is the nearest to 14 in x, 3, -4\/5, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, d: 1, o: 10, l: 3}. Give prob of sequence lm.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let o(d) be the first derivative of -d**2\/2 - 23. Let z(y) = y**3 + 7*y**2 + 5*y - 8. Let g be z(-6). Determine g*w(h) + o(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(25\/2)*y*y*y\/(y*y**13)*y*y assuming y is positive.\nAnswer: y**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6607*u**3 + 2*u**2 - 13*u + 4671504 wrt u?\nAnswer: 19821*u**2 + 4*u - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11773224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-384)\/(-224))\/(4\/1918). Suppose -w = -14*i + 1418. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-59)\/3 + (-1)\/3. Calculate the smallest common multiple of 14 and l\/(-4)*2\/5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -34434\/25, -136, 5, 2?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15678 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*u = -2151 + 4405 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 937935.5 litres in millilitres?\nAnswer: 937935500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6894016.\nAnswer: 2, 107719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + -2 + (3 + sqrt(1008) - sqrt(1008)) + -3)**2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 813 = 2*d - 5*q, -5*q + 419 = d. Let w = d + -268. Suppose w = 3*c + 4*j - 6*j, -3*j - 9 = 0. Calculate the remainder when c is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.95 + -0.05. Let h = -41\/2 + 19. What is the closest to 0 in h, 5, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 0.6. Which is the second biggest value? (a) 0.1 (b) 0.04 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a millennium?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 5:02 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005645 to six decimal places.\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from httutwwuwtwwhuhhwtgh.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(720) - (-4 + sqrt(720)*2)) - (-6*(sqrt(720) + 2) + 5)) + 2 + 4)**2.\nAnswer: -3168*sqrt(5) + 103801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**3\/3 + 5. Let t(o) = -37*o**2 + 6. Let a(d) = 2. Let l(j) = -3*a(j) + t(j). Determine p(l(q)).\nAnswer: -1369*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6738368 divided by 8\nAnswer: 842296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -817.0738 * 0.1.\nAnswer: -81.70738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 3 + 3 = -14*k. Solve 0 = 11*s - 12*s - k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 12:01 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 1\/5 (c) -2\/13 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 221369445 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from ubbbukbukbuuubk?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = -3*m, -m = -2*h - h - 16. Suppose -o + 5*u - 19 = -0*o, 0 = -3*o - 4*u + 38. Let t(w) = 1 + o - w - 4 - 5. Calculate t(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 1 = -7*j + 6*j, 0 = 3*j + 11*z + 17 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2831*q**2. Let x(z) = -29*z + 7. Determine x(l(c)).\nAnswer: -82099*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 v, and 1 m when three letters picked without replacement from llvmllmmlllmmlvmlmll.\nAnswer: 77\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 7 = -4*i, -3*i + 0*i + 3*w = -12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 48 + (3 + -8)*-1. Let g(j) = -j**3 + 3*j**2 - j + 4. Let x be g(5). Let i = c + x. Solve 3*y + 5*t + 0 = 22, -4*t + 22 = -i*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*x - 16*x + 21, 0 = -5*p + 4*x + 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*c + 48332 = -518*c for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a + 10*a - 11*a)*((-5 + 3 + 4)*(3 - 6 + 1) + 0 - 3 + 4 + 3 + 3 - 3 + 17 - 8 - 6) as q*a + b and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 + (-1)\/5. Let n = -0.22 - -0.72. Which is the nearest to -1\/3? (a) 4 (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - t - 23. Let p be v(5). Let h be -12*((-10)\/(-3))\/5. Let n be ((-9)\/h)\/(p\/4). What is the second biggest value in -5, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.058 + -0.442. Which is the nearest to 11? (a) -0.4 (b) 1\/2 (c) g (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -212877, -212874, -212869, -212862, -212853, -212842, -212829?\n\"Answer: s**2 - 212878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (24\/2)\/(-4). Let m be (-1 - -3) + 2 - -26. Let r be (m\/(-20))\/(3\/(-4)). Solve q = -4*l + r*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*r - 72*r + 8778 = 0. Find the common denominator of (-62)\/8*(-76)\/r and 127\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 25*v + 674 = 30*v, -3*d + 2054 = -v. Calculate the remainder when d is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l. Let y(n) be the first derivative of 60*n**3 - 7*n**2\/2 + 1051. Give r(y(b)).\nAnswer: -360*b**2 + 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*k = -50*k + 21. Let q(p) = -p - 8. Give q(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*m*v**2 - 2*m*v - 7*m + 18*v**2 - 16*v wrt v.\nAnswer: -46*m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 5\/6*x**4 - 2*x + x**2 + 1\/5*x**5 + 4\/3*x**3 + 0. Factor n(s).\nAnswer: 2*(s + 1)**2*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**2\/o**(-16) assuming o is positive.\nAnswer: o**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -110, -402, -880, -1538, -2370, -3370, -4532, -5850?\n\"Answer: w**3 - 99*w**2 - 2*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, -77, 0.8, 4\/11 in decreasing order.\nAnswer: 114, 0.8, 4\/11, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10999601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -175 - -177. Suppose -10 = r*q, 0 = 4*s - 3*q - 20 - 15. Solve s*a - 4*g = 3, -14 = 4*a + 3*g + 2*g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50170*a*f**2 + 110717*f**2 with respect to a.\nAnswer: -50170*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 7 - 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:25 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17630, 36254, 54878, 73502, 92126?\nAnswer: 110750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = 7 - 79 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x - 6451. Let w(d) = -7335*d. Give w(y(f)).\nAnswer: -58680*f + 47318085","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347946 = -98*g + 284300 - 96382. Calculate the greatest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k - 3*k + 17 + 8 - 12 to r*k + f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/8*(-24)\/45. Put 0, r, 0.5 in descending order.\nAnswer: 0.5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128754070.\nAnswer: 2, 5, 19, 109, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -34*s**3\/3 + 10*s**2 - 33*s + 2. Does 11 divide c(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i**2 - 2*i + 2*i - 3*i**3 + 3 + 6*i + 4*i**3. What is a(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**5 - 45*u**5 + 9*u**5)*(670 + 644 - 1205).\nAnswer: -4469*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -288 - -294. Differentiate -16 - s + 63*l**2 + 67 wrt l.\nAnswer: 126*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/6*342\/(-2964)*2\/(-7)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*g - 2315 = 118*g - 1949 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a meter in millimeters?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from zjjzjjzrvjjw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 5*a**2 + 7*a. Let w = 21 - 24. Let n(s) = 3*s**2 + 4*s. Give w*u(g) + 5*n(g).\nAnswer: -3*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00361485 rounded to five decimal places?\nAnswer: 0.00361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1978 is divided by 98.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**5 - 250496*a**4 + 7009600*a**3 + 72110592*a**2 = 0.\nAnswer: -8, 0, 36, 62596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 1844.\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + (2 + 1 + sqrt(1100) - (0 + 2*sqrt(1100) + sqrt(1100)))*1)**2.\nAnswer: -40*sqrt(11) + 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010363 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -333*q**2 + 99*q - 8. Let d(o) = 166*o**2 - 49*o + 4. Let i(w) = 10*d(w) + 6*x(w). Factor i(v).\nAnswer: -2*(13*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.432.\nAnswer: 0.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 2*q**2 - 2*q**2)*(-31*q - 2*q - 12*q)*(-7*q + 4*q + 9*q).\nAnswer: 540*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2447 - -2447.4. What is the nearest to o in -3\/2, -0.2, -4\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i - 120. Suppose 5*z + 4*m = -m - 440, 0 = 2*z - 5*m + 176. Calculate the remainder when i is divided by z\/(-6) + (-6)\/9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 + 5 = 0. Let t be (h - 7)*6\/8. Let -2*m**2 + 0*m**4 + 3*m**4 - 7*m**t + 5*m**2 + m**3 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -5, 0, -1 in descending order.\nAnswer: 0, -1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100100 (base 4) in base 6?\nAnswer: -35440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*y**3 + 36*y + 24\/7 + 126*y**2.\nAnswer: 3*(7*y + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 16. Let p be q(9). Is (-102)\/p + 12\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 17 - 17 - 3*g**2 - 3*g**2. Let q(y) = y**2. Give j(q(s)).\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0484 - -0.3516. Let b = 0.23 + 3.77. What is the third biggest value in i, 84, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1182.8 and 3.\nAnswer: 1185.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2609332 and 73\/15004.\nAnswer: 28702652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -128, 41, 5, 0.3, 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16462?\nAnswer: 2, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -37, 469571, -4 in decreasing order.\nAnswer: 469571, -2, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 + 226*m + 6588.\nAnswer: -2*(m - 366)*(m + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*s + 125*s + 21 = 256*s. Which is bigger: s or 1\/190?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/484 - (2 - -173)*12\/44\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 + 140. Let u(y) = -4*y**2 + 301. Let o be u(0). Let s be -3 + o\/p - (-4)\/18. Solve 3*a + s*a + 25 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*g = -15, b - 15 = -4*b + 3*g. Suppose 2*s - 310 = -b*s. What are the prime factors of s?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266394103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.59956l to millilitres.\nAnswer: 66599.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 34 = -3*a. Solve -5*d - 7 = 5*n - a, 1 = 4*n + 3*d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*(-6)\/15)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 94342.6 rounded to the nearest 1000?\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139*i**4 + i**3 + 2*i + 1 wrt i.\nAnswer: 1668*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 10*m + 1. Give k(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d78 (base 14) to base 6.\nAnswer: 40554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1611\/11 (b) -0.04 (c) 5 (d) 9 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.04. Let z = 849 - 1244. Let w = 391 + z. What is the third smallest value in w, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(4 - 4 - 2*m + 4*m - 4*m + 5*m + m + 2*m - 4*m + (2*m + 1 - 1)*(-6 + 2 + 5)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14243 (base 7) in base 3?\nAnswer: 12100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.3, -47, 1\/5, 1\/2, -1\/32?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**4\/12 - p**2\/2 + p + 2. Let u(k) be the first derivative of r(k). Does 14 divide u(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**3\/6 + 5*t**2 + t. Let u be c(-7). Suppose -4*o + u*o = -3*w + 769, 524 = 2*w + 5*o. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 16*b = -15*b + 3532, 0 = 3*j - 6*b - 2130. List the prime factors of j.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 638\/(-3770)*(-12)\/22*15*1\/117.\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 3) to base 11.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4689778 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w*w**(1\/11)*w*w))\/w))\/(w\/w**(-2\/5)))**(-10\/11)\/((w\/w**0*w)\/w*w**(-3)*(w**3*w*w)\/(w*w*w*w**3*w*w*w)) assuming w is positive.\nAnswer: w**(430\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - y = 5 + 11, 0 = 3*z - y + 19. Sort z, -42, -2 in increasing order.\nAnswer: -42, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, -1\/3, 3.\nAnswer: -1\/3, 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2))**(-5)\/((f*f*f\/((((f\/((f\/(f**(-2\/7)*f*f)*f*f)\/f))\/f)\/f)\/f))\/f**(-3\/8)))**41 assuming f is positive.\nAnswer: f**(-7257\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16783*q**3*z**3 + 9604*q**3 - 10*q*z + 4 wrt z?\nAnswer: -50349*q**3*z**2 - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 4:49 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 9:24 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 20. Which is smaller: -1\/62 or o?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjx when three letters picked without replacement from jjcjjjjjjxjhjrjjd?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from vnxxnppxpxxpnvxnnxx.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by -14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 21. Let g = -19.2 - -23.2. Is g != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34264117\/6552 - -67980\/13. Calculate the common denominator of -13\/240 and m.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6*-6 - 4. Suppose -8*u + 4*u + 148 = j. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in 1\/3699, -2\/19, 3, 0.36?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 5:07 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11652.28 minutes?\nAnswer: 699136.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**(-18\/11))\/a**(12\/11)*a**(-19)*a**3)**(-27\/2) assuming a is positive.\nAnswer: a**(4671\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 220703916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7821211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*(-7)\/21.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 + 298*z**3 - 281*z**3 + 5*z**2 - 4*z**4)*(1 - 1 + z).\nAnswer: -3*z**5 + 17*z**4 + 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513197587?\nAnswer: 7, 73313941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4629.\nAnswer: 3, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*z - 17 - 47 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 128*v. Let f(i) be the first derivative of 2*i**2 - 1431. Give q(f(z)).\nAnswer: 32*z**2 + 512*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 49795227.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1437 (b) -43 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3)\/c**(2\/9))\/((((c*c\/(c*(c\/(c**(-3)\/c))\/c))\/c)\/c)\/(c*(((c*c**2\/c)\/c)\/c)\/c))*(c\/c**(1\/4)*c**(-2\/5)*c)**(3\/37) assuming c is positive.\nAnswer: c**(36989\/6660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -493715, -987388, -1481063, -1974740, -2468419, -2962100, -3455783?\n\"Answer: -n**2 - 493670*n - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*q = -132*q - 49 + 751. Calculate the remainder when q is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2*5\/(-5)*-1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a week in minutes?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 26899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 0, -0.9, 0.7, -48?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.115 + 0.015. Let x be 5\/14 - 2\/4. Let a = x + -3\/28. What is the closest to a in 0, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1516071 and -0.5.\nAnswer: -758035.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1271, -284, 7 in increasing order.\nAnswer: -1271, -284, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1219, -2438, -3657, -4876, -6095, -7314?\nAnswer: -8533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -3. Let z = 14 - n. Let q be 3*(z + 0)\/(-4) + 0. Which is smaller: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 + -119. Is 17 a factor of (0\/(-5) - m)\/(1\/(-289))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.36584 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319446 is divided by 106476?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2764329064 - -2764329138.000000448. Let t = -74 + x. Round t to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/9*123*7.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -13705*a**2. Let o(p) = -2*p. Calculate o(f(b)).\nAnswer: 27410*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7769 - -20?\nAnswer: -7749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/677 and 93\/16.\nAnswer: 10832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -394 + 434. Suppose 2*q - 9 = 1. Suppose 19 = 2*p - 5*t, -q*p + t = -4*t - z. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 - 8*k - 333. Let s(n) = -2*n**2 + 5*n + 222. Let b(q) = 5*h(q) + 8*s(q). Is b(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2. Let c(k) = -k**2 + 196*k. What is w(c(b))?\nAnswer: b**4 - 392*b**3 + 38416*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*s + 2*q, 2*q + 0 + 38 = 3*s. What are the prime factors of (-1 + 28\/s)*537?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 times -7?\nAnswer: 2114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-315)\/6*(-10)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 8*q - 9*q - 7*q - 20, 5*q = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-3))\/((-34)\/153). Let q(p) = -p**2 + 9*p**2 - 5*p**2 + p**a - 3*p**3 + p. What is q(3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-3) - (-42 + (-12)\/4). Suppose p*b + 30 = 55*b. Solve 0*u - 4*u - 17 = 5*c, 3*u = 4*c - b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 624\/(-24)*(-105)\/3*34\/1105?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 11*z**2 + 24*z + 24. Let w be p(8). Let f be (-2 + 22\/6)*(-9 + w). Solve f*q + 20 = 29*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*(x\/x**(-2\/21))\/x*x)\/x)\/x**(-4\/9))\/(x**(-18)*x*(x**(-1\/8)*x)\/x) assuming x is positive.\nAnswer: x**(9911\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -12*j**2 - 99*j + 258. Give x(-11).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 2765254*a + 8295780.\nAnswer: -2*(a - 3)*(a + 1382630)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**6\/24 + 83*o**5\/12 + 525*o**4\/4 + o**2 - 377. Find f, given that y(f) = 0.\nAnswer: -7, 0, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 - 8*f + 73. Does 69 divide r(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4 = 4*o, -4*a + 1 = 5*o + 5. Let q(n) = -4 - 3*n + a*n + n**2 - 5*n. Determine q(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/108)\/((-8)\/1806). Let p = g - -50. What is the nearest to 2 in 0.1, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 3 (c) 84 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kddkiyiffkfyid. Give prob of sequence fyk.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 2*r - 2. Let m(c) = c**2 + c - 1. Let f(s) = 2*m(s) - u(s). Let v(n) be the first derivative of -n**2 - 27*n + 231. What is v(f(g))?\nAnswer: -2*g**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 27*y - 90. Let b be w(4). Find the third derivative of 150*h**3 - 6 + b - 2*h + 123*h**2 - 12 wrt h.\nAnswer: 900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 0*n + 0*n**2 + 2*n**2 - 5 + n. Let y be u(4). Suppose 2*q - 42 = -36. Solve 0 = -q*p - 6, -6*r + 3*r - y = 3*p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*a + 12*a - 22*a + (-2*a + 2*a - a)*(428 + 241 - 164) as x + p*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -18. Let x(p) = -p**3 + 12*p**2 - 2*p + 10. Let u be x(d). What is the common denominator of (-26)\/24*63\/u and -37?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21261767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 80672, 80902, 81132, 81362, 81592?\n\"Answer: 230*s + 80442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-595)\/(-1505))\/((-170)\/20)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1089, 1013, 939, 867, 797, 729, 663?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-6))\/(4\/12). Suppose -2*t = -0*l - y*l - 188, 5*t - 5*l - 455 = 0. Calculate the highest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 769175330 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1068 <= 196487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 6 = 15. Suppose -c - 2*v = -0*v - b, 5*c - 2*v - 63 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2922965 is divided by 730737.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -22 + (6 - (1 + -2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/108 and -49\/50553612.\nAnswer: 50553612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -21 - -9) + (-9 + 4 + 2 - -50)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - q + 5 = 2*q, 3*d = -q + 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 209, 0, -24.13 in ascending order.\nAnswer: -24.13, 0, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v + 17. Let g(k) = k + 1. Let t(m) = -a(m) - 3*g(m). What is the units digit of t(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 54 = -0. Solve 3*c + y = -c - l, c = 2*y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - 15*f + 8. Let i be n(-6). Let u be -3 + (-32)\/i + 0. Sort u, -0.15, 1 in increasing order.\nAnswer: -0.15, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 5, -3, 3, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -40 - 1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.14 (b) 4\/11 (c) -24 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23\/6 in 16, 1\/3, -11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.5 - -3.5. Let j = t + -19.9. Let n = -8.9 - j. What is the second biggest value in 1\/4, n, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83055.06 months in years?\nAnswer: 6921.255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/98 and -179\/1879248?\nAnswer: 1879248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(19) - -1*(3*sqrt(19))**2) + sqrt(76)\/(sqrt(16)\/sqrt(4)).\nAnswer: 2*sqrt(19) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -291\/994 - -1\/142. Is p greater than or equal to -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20653 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 2:38 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0*c + c)*(-51*c**2 + 2*c - 4*c + 2*c**3 + 50*c**2).\nAnswer: 6*c**4 - 3*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 795417 and 45607.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5557592 - -12027592. Round a to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000110000100101111 (base 2) to base 3.\nAnswer: -1000220022112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8\/20 - 1)*-10*18\/27\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47947 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*t, -4*r = r - t + 212. Let l be (-14)\/(-4)*r\/7. What is the smallest common multiple of 2 and (-274)\/(-14) - 9\/l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-504)\/(-126))\/(30\/(-1)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.9814 (c) 5 (d) 1296\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 168.95 - 165. Let z = i + -0.55. What is the closest to 0.1 in z, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1504 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by 41.\nAnswer: 52\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -16889*j. Let v be n(-9). Suppose -4*l + 4*g - 305138 = -1142, v = -2*l - g. Round l to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1899 (base 10) to base 8.\nAnswer: -3553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-196)\/16))\/((-3)\/21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 15*a**2 - 8*a - 14. Let g(r) = 2*r**3 + 32*r**2 + 17*r + 29. Let v(f) = 3*g(f) + 7*z(f). Determine v(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 15*o**3 - o**2 - 3*o - 3. Let h = -5477 - -5481. Let f(v) = -15*v**3 + v**2 + 4*v + 4. Calculate h*c(s) + 3*f(s).\nAnswer: 15*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 + o - 8. Let s(c) = 11*c**2 + 2*c - 17. Suppose 2*k + l + 8 = 0, -l + 9 - 5 = 0. Calculate k*s(x) + 13*y(x).\nAnswer: -x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 138707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**4 + 681*w**3 + 126*w**2 + 154600*w?\nAnswer: -24*w**2 + 4086*w + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*h - 34 = -4, -4*o + 5*h - 40 = 0. Let c be ((-1)\/o)\/(7\/7). What is the biggest value in c, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -998257253\/59620 - -6004\/2981. Suppose -2*v - 5*n - 33491 = 0, -v - v = 4*n + 33488. Let p = z - v. Find the common denominator of p and -11\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236.3523ml to litres.\nAnswer: 0.2363523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/3)\/(5\/15). Suppose -z*u + 41 = -11. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0 + 3 + 2 - 6 + (-4 + 0 + 3)*(-6 + 4 + 0) + 0 + 0 + 2 + 1 - 4 + 5)*(-2*q - 2*q**2 + 2*q).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2184 and 434586516.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-3)\/(-90))\/(5\/(-30)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 13*t - 24 = 0. Suppose t*v - 1124 = 1216. Suppose -5*k = -5*i - v, 0*k - i + 156 = k. 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: What is the second derivative of -74*a**3 - a**2 + 824*a wrt a?\nAnswer: -444*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -1925817?\nAnswer: 1925817.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*-16*(-8)\/64?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415335 is divided by 609?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 13*k**6\/6 - 18*k**2 - 32. Find the second derivative of h(z) wrt z.\nAnswer: 260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 2*o**2 + 85. Determine b(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50738, 100667, 150598, 200531, 250466?\nAnswer: 300403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 589.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**2 - 9. Let i(b) = 22*b. What is r(i(v))?\nAnswer: 2904*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 0.2, -5, -1.35?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -876, -879, -884, -891, -900, -911, -924?\nAnswer: -939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -16*b**5 - 149432*b**4 - 348416809*b**3 + 2290401958*b**2 + 45278262455*b + 126130101904 = 0.\nAnswer: -4673, -19\/4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-746120)\/596896)\/(5*(-62)\/32)\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*v + 1 - 1)*(-3 + 0 + 2) + v + v - v)*(-4*v - v + 4*v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4348*-0.05.\nAnswer: -0.02174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -1\/6 (c) 0.3 (d) 1 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72744.7ug in nanograms?\nAnswer: 72744700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a - 46 = -10. Let u be 2\/a + 1941778\/(-62). What is u rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*(-648)\/(-2592) + (1 + 0 - 5)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*d + w - 2506, -2*w - 3773 = -3*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288367 is divided by 1762.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 17*i**2. Let b(v) = 385*v**2 + 15*v + 15. Calculate b(h(t)).\nAnswer: 111265*t**4 + 255*t**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -23*s**7\/14 + 139*s**5\/15 + 3*s**2 - 60. What is the third derivative of b(z) wrt z?\nAnswer: -8280*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4813 = -2*p + 12777. Is p a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - sqrt(70)\/(sqrt(42)\/sqrt(6)))\/(sqrt(162) - sqrt(162)*1 - sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 22*j. What is the smallest common multiple of 4 and o(-13)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-56) - 159\/(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -d + 8081, 5*d = 3*b + d - 4867. Find the third derivative of -196*w**2 - 14*w**5 - 25*w**5 - 1614*w**4 + b*w**4 wrt w.\nAnswer: -2340*w**2 + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.04 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1746, 3502, 5258, 7020, 8794, 10586, 12402, 14248?\n\"Answer: b**3 - 6*b**2 + 1767*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = 0. Suppose d = -4*r - r + 5. Let v = 0.2 + -0.4. Is r smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9*x**2 - 531. What is d(0)?\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 64 = -26*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*g + 4 = 131, 4*m + 2*g = 172. Let w = 2 - m. Let n = w + 70. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 (base 9) in base 7?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -117499*x**2 - 46*x + 22*x + 25*x - 6. Let s be k(2). What is s rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12934642 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -7. Suppose -l = -z*l + 4800000. Round l to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 115786*z**3\/7 - 231680*z**2\/7 + 116002*z\/7 - 108\/7 = 0?\nAnswer: 54\/57893, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 3*d - 58. Give b(-14).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9398 - -116132. Round r to the nearest 1000.\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297607 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from -2765.303.\nAnswer: -2765.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, 1.3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -1741*n**8\/112 + 1409*n**4\/8 + 1590*n**2. What is the second derivative of i(a) wrt a?\nAnswer: -104460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7*(-14)\/441*-9. Let u be k + 14 + -2*(-8)\/(-4). Let x be 1 + 30 - (1 + -2). What is the highest common divisor of x and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 + -0.5. Let q = -5 - -8. Let j = -23 - -49\/2. Which is the nearest to q? (a) h (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81547296 to the power of 1\/3, to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b + 51 = -587 - 220 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-3 - (0 + 1 + -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -0.01 (c) 0 (d) 11157 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24147 is divided by 366?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 476*r - 469*r - 14. Let b = -28 - -192. Suppose 0 = r*n + 2*o - 164, 2*n - 5*o - 14 - b = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*b + 4 = 0, 5 = -3*i + 2*b + 21. Factor 10*n**3 + 251*n + 13*n**2 - 113*n - 126*n - 4*n**3 + 4 + n**i.\nAnswer: (n + 1)**2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -25, 53873?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-91)\/(-26)*12\/14. What is the derivative of 13 + 43 - 396*n**d + 386*n**2 wrt n?\nAnswer: -20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 - 3*k**2 - 7*k**2)*(1644 - 1644 - 116*k) to w*k + x + s*k**2 + n*k**3 and give n.\nAnswer: 1276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 + -29. Suppose 2*g - k = t, -g + 3*g = -5*k - 1. Let l = g + -5. Solve -22 = 3*n - 3*f + 2, n = -4*f + l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*w + 21 = 0, w = -2 + 1. Let p = -14 + y. Is -3 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2158\/4329 + (9804\/703 - 14)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.6 + -23.1. Let l = t - -17. What is the smallest value in -0.1, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i + 1. Let g be 4 - 6 - (2 + -4). Let v be b(g). Let u be v + 1 + (-9 - -10). Solve -3*d = -2*x - 4*d - 11, -5*x = -u*d + 22 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.4233 to one dp.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Let a = 376 + -381. What is the nearest to -1\/4 in a, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18773, -75021, -168775, -300041, -468825, -675133, -918971, -1200345?\nAnswer: -1519261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.9 - -24. Which is the nearest to l? (a) 5 (b) -0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 2*c**3\/21 + 708*c**2\/7 - 1418*c\/7 + 2016. What is s in m(s) = 0?\nAnswer: -709, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110491351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 o when four letters picked without replacement from {j: 7, o: 5, s: 2}?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 18. Let h be r(0). Let l be (1\/(-1))\/h*4. Sort 2\/9, l, -4 in descending order.\nAnswer: 2\/9, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004983196 to 5 decimal places.\nAnswer: -0.00498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*-1 - (-1)\/1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*r - 7233 = 13013. What is the remainder when r is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -282*a + 591. Calculate the remainder when 203 is divided by t(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**2\/9 + 3665557*d\/9 + 407284 = 0.\nAnswer: -3665556, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7444 - 401851\/54. What is the common denominator of -13\/81 and d?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 25 = 2*r - 7, 5*r - 10 = 0. Let z = f - -9. Suppose 2*w - 2 = -0. Sort z, w, -3 in decreasing order.\nAnswer: z, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 16*n**3 - 7*n**2 + 5*n - 27. Is l(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n**2 - 6*n**2 + 2*n**2)*((2*n**2 - 3*n + 3*n)*(5 - 1 - 5) - 29*n + 29*n - 17*n**2) in the form m*n**2 + u*n + z + l*n**3 + g*n**4 and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215, 218, 215, 200, 167, 110, 23?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8*c - 76. Let b(k) = 43922*k. Give b(t(a)).\nAnswer: 351376*a - 3338072","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*j + 6*j**2 + 2 + 71*j - 6*j**2 - 126*j - 10*j**3 in the form y*j**2 + f + u*j + w*j**3 and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**26\/(f*f\/f**29) assuming f is positive.\nAnswer: f**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 4\/5*w**3 + 3\/100*w**5 + 0 + 1\/4*w**4 + 9*w + 6\/5*w**2. Factor j(u).\nAnswer: 3*(u + 1)*(u + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, j: 4, q: 1, b: 5, z: 1}. What is prob of sequence djqb?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53109253 + 0.3.\nAnswer: 53109253.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1276 + -1409 + 140\/2.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from emee.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3, 0.5, 2\/7, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - -13. Let o = -8 + p. What is the least common multiple of 24 and (3 + (-15)\/9)*o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**3\/3 + 2*d**2 + 2*d. What is the units digit of r(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 6*v - 5. Give f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s + s + 2*s)*(-2 + 2 - 2) + 1 - 1 - s - 4*s + s + s - s + 2*s + s)*(4*s - 3*s - 2*s)*(9 + 8 + 10).\nAnswer: 135*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -10. Let i be (-1)\/(-4) + (-23)\/k. Factor -3*x**5 + 3 + i*x**4 - 3 + 0 - 3*x**3.\nAnswer: -3*x**3*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r**3 - 8*r**2 - 11*r - 13. Let g(u) = 9*u**3 + 16*u**2 + 23*u + 22. What is -3*g(a) - 5*w(a)?\nAnswer: -2*a**3 - 8*a**2 - 14*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-350)\/70 - 96\/(-22)\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101 - 202202?\nAnswer: -201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3092 and 153827?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 7*z**2 + 11*z + 24. Let b be r(-6). Let j be (22\/4)\/(b*(-6)\/3096). Calculate the highest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + h - h)*(-2*h + h + 3*h)*(-1 + 2 + 0)*(-11*h + 17 - 17 + (-1 - 1 + 0)*(3*h - 5*h + h)).\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxggxxgggggggg. Give prob of picking 2 x and 2 g.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 + 133. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2849 - 2871) + (-3 - (0 + -113))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1592805 minus -0.5?\nAnswer: -1592804.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17598 + -17584. What is the closest to -1\/3 in -0.1, n, 0.5, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 54. Let c be ((-6)\/(-18))\/((-2)\/(-18)). Solve -o*j + c*j = 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d + 0*d + 5*d)*(-230 - 193 + 129)*(3*d - 6*d + 2*d) as a*d + p*d**2 + i and give p.\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -153, -135, -113, -93, -81, -83, -105?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4*d + 370 = 314, 0 = 18*s - 4*d + 56 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 10 - (21 + -15)) + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 2:58 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20701067 (base 8) to base 7.\nAnswer: -52414452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**3 - 60*t**2 - 4*t + 14. Give g(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 151120 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 829292 divided by 8?\nAnswer: 207323\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.3 + 0.1. Let i = -2.4 + c. Let v = 0.01 - -2.99. Put i, v, -2 in descending order.\nAnswer: v, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u**2 + 3*u - 1. Let m be n(4). Let s = m - -262. Suppose 0 = -5*h + 164 + s. What are the prime factors of h?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1116.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16856*s + 205 = -16815*s. Suppose -2*j = -0*j - 4. Solve -s*l + 31 = -j*y, 0 = -4*y + 2*y + l - 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/6 - 2269*m**2\/2 + 4362695*m\/2 - 5604066325\/6.\nAnswer: -(m - 815)**2*(m + 8437)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 47, 11, -43, -121, -229, -373, -559?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 7*v - 10. Let z be p(-8). Which is smaller: z or -3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -19. Let z = j + 14. Which is the third smallest value? (a) -2 (b) -0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65236990 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a8 + 59?\nAnswer: -24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593 = -36*z + 89 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -480.32021578 + 157.3202116. Let n = k + 323. Round n to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 11*v**2 - 9*v - 8. Let a be u(10). Let o(s) = -s**2 + 5*s - 4. Let k be o(3). Suppose -n + 8 + k*n**a + 9*n + n**2 - n**2 = 0. What is n?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 1:37 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2782, -4224, -5634, -7012, -8358, -9672, -10954?\nAnswer: -12204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/4436 - -215143\/13308. Let v be (3\/(-2))\/((-54)\/(-6294)). Let n = 177 + v. Calculate the common denominator of n and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -2\/4231303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85523 (base 13) to base 6.\nAnswer: 5052415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*c = -94 - 66 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooeemoexxoxed. Give prob of sequence ooxx.\nAnswer: 3\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17\/50 - -7\/50. Which is the third smallest value? (a) -8 (b) 0.03 (c) g (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 101112?\nAnswer: 101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*k = 34. Let j = -17 + k. Solve j = -0*x + 4*x + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 774642 to the power of 1\/2, to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21947 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7383991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1076\/(-8)*24\/402 - -5. Which is smaller: t or -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + -0.1. Let n = -1.06 - -3.06. Sort n, u, 4 in descending order.\nAnswer: 4, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 73*w = -18*w - 6678. What is the highest common divisor of 246 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528\/48*(86 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, 0.37, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4626.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -4, 2, 1\/2, 83 in descending order.\nAnswer: 83, 2, 1\/2, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 6*g**2 + 6*g + 7. Let c be d(-5). Let m be (5\/(-25)*0)\/(-1 - 0). Let n be (m - ((-3)\/c - -3))*-2. Solve -2*q = -q - n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, z: 8, c: 2}. Give prob of sequence zzh.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -207756 divided by -69252?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119438679*d**4 - d**2 + 297264567*d.\nAnswer: 1433264148*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 10*k - 61. Suppose 0 = k*j - 58*j - 1704. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 14234544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22 + -21)*(1 - -1 - -218). What is the third derivative of 3*z**2 - r*z**3 + 254*z**3 - 8*z**2 wrt z?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from {m: 1, z: 2, b: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/8 and (-21566)\/(-96382) + (-2382)\/10322.\nAnswer: 29656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, c: 9, n: 3, z: 2}. Give prob of sequence bc.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -0.2 (c) 2\/11 (d) -50 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - bc6f6f?\nAnswer: -bc6f70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 47.7297km?\nAnswer: 47729.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 0.5, -1245, -0.3, 4 in ascending order.\nAnswer: -1245, -5, -4, -0.3, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*a = -365 + 387, -2*c + 2*a - 2 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {m: 1, t: 8, d: 2, f: 2, l: 4, b: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 32*l + 1625 = 0. What is the greatest common factor of l and 455?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/116 (b) -3 (c) -2\/11 (d) -56 (e) -0.6 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(4\/5)*o**(1\/12)*o)**(-1\/37) assuming o is positive.\nAnswer: o**(-173\/2220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*u - 1064 = 5992. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - u + 13. Calculate the remainder when 47 is divided by w(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 5*d**2 + 9*d + 12. What is the remainder when o(-3) 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 12 + 134?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1398184352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 2, x: 2}. Give prob of picking 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, w: 3}. Give prob of picking 3 d.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + l = 0. Suppose -2*p - 5*x + 33 - 5 = l, -2*x = -3*p + 4. Suppose -r - 3 = -p. What is the greatest common factor of r and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + 2*-5*sqrt(85)\/sqrt(5) + (1 + sqrt(1088) + -5)**2 + sqrt(1088)).\nAnswer: -198*sqrt(17) + 3300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 - 2*z. Let r(y) be the first derivative of -1 + y + 1\/2*y**2. Let g be r(2). Let v(t) = -4*t**3 - 3*t. What is g*v(l) - 5*q(l)?\nAnswer: -2*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 13. Let m be r(-8). Suppose -3*y + 1 = -m. Differentiate -1 - 4 - y*z**3 + 6 + 4 with respect to z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/59376 and 47\/28?\nAnswer: 415632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**5\/20 - d**4\/6 + 2*d**2 + 24*d. What is j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1342, 1339, 1328, 1309, 1282, 1247, 1204?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3655 - -1?\nAnswer: 3656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -198551 divided by -399?\nAnswer: 198551\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 16*m**7\/105 + 187*m**6\/30 + 1213*m**5\/15 + 1397*m**4\/6 + 242*m**3 - 2*m**2 + 427. Determine x so that i(x) = 0.\nAnswer: -11, -1, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -d + 174, -5*t - 117 = d - 319. Calculate the remainder when d is divided by 93.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 5, -17, 0, 1.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2788 + -2788.2. Is 11647 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37389 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 123 - 105 = -v, -3*f - 3*v = -339. Let p = f - 114. Calculate the highest common factor of 4 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 227*v**5 + 6940*v**3*z**2 + v**2*z + 565*v*z**2 + 45*v*z + v + 4*z wrt v?\nAnswer: 13620*v**2 + 41640*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -71954*h**3 - 3*h**2 + 270740?\nAnswer: -215862*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, e: 12}. Give prob of picking 2 x and 1 e.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3045*m + 3 - 7 + 1 to the form f*m + b and give f.\nAnswer: -3045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -30*v**2. Let z(y) = -12*y - 26. Determine a(z(h)).\nAnswer: -4320*h**2 - 18720*h - 20280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o + 4. Let y = 1 + -11. Let q be -4 + (-5)\/(y\/4). Let l be n(q). Solve 2*k + 6 + 11 = -3*x, l = x - 4*k + 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - b)*(6 - 3 - 1)*(5*b + 2*b**2 - 5*b) - 34*b + 34*b - b**3 + (2*b**2 - b**2 + b**2)*(5*b - 3*b - 4*b) as w + m*b + y*b**3 + l*b**2 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -13. Suppose -4*x + 30 = x - n, x = c*n + 30. Let v = 2 - x. Put 1, -2, v in ascending order.\nAnswer: v, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/135 - (-86)\/18. Suppose -d = -5*z + 4*z. Solve -3*m = m + z*y + 24, 0 = -y - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26509541.\nAnswer: 19, 541, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/3 + 1\/1. Let q = y - -13. Sort 5, q, 0 in decreasing order.\nAnswer: 5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -414*t - 35*t**2 + 98*t**2 + 413*t in the form o*t + a + h*t**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1585\nAnswer: 4\/1585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 490 and -594760.\nAnswer: -594270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121102 + 12?\nAnswer: -121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -1\/2, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Let s(o) = -6*o**2 + 10*o + 4*o**2 + 0*o**2 + 3*o**2 + 24. Let i be s(-6). Solve n*l + 2*l = i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 20895?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 12244153 - 12244153.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (72 - (-13 - ((7 - -3) + (-19 - -3)))).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or 5\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 15*s**2 - 10 + (-2 + 3 - 2)*(-s + s - 5*s**2).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**5\/3 - 30*m**2. Let t(f) be the third derivative of 0*f**4 + 0 + 0*f + 1\/60*f**5 + f**2 + 0*f**3. What is w(t(y))?\nAnswer: -20*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2569587 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2. Let i(r) = 35*r + 3. Let q(p) = -1927*p - 164. Let t(a) = -164*i(a) - 3*q(a). Determine t(d(b)).\nAnswer: -82*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -4. Let r(b) = b**2 + 4*b + 2. Let f be r(-4). Suppose g*k - f = 3*k. Solve 0 = z - 3, 4*v - k*z + 8 + 10 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62115420, -62115395, -62115354, -62115297, -62115224, -62115135?\nAnswer: -62115030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {w: 1, t: 4, l: 2, o: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2859?\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -2.7, 3\/8, -1\/7, -1\/13 in ascending order.\nAnswer: -2.7, -2, -1\/7, -1\/13, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-11)\/4)\/((-2)\/40). Suppose t = -4*w + 16, 0*t - 5*w = -5*t + y. Let s = 13 + t. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11405.2098 + -348?\nAnswer: 11057.2098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2286885 is divided by 2310.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g**3 - 292*g + 87*g - 115*g - 3*g**3 + 452*g**5 wrt g?\nAnswer: 9040*g**3 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4406, -34835, -117418, -278231, -543350, -938851?\n\"Answer: -4346*t**3 - t**2 - 4*t - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i**2 - i + 4. Let l(n) = -2*n**2 - 14*n - 1. Let a(v) = 24*v**2 + 189*v + 12. Let q(x) = -2*a(x) - 27*l(x). Calculate -4*q(t) + 3*u(t).\nAnswer: -3*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 62169 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) 5 (c) 2\/7 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 3\/2*b**2 + 1\/3*b**3 + 0 - 1\/4*b**4 + 7*b - 1\/20*b**5. Calculate w(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14983191?\nAnswer: 3, 19, 29207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3 - 19*z**2 + 26*z + 40. Let a be i(-24). Round a to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91 and 7?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-4)*102\/9690)\/(4*3\/48)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 176 + -189.1. What is n rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2115 and 7777665.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.092634 * -0.1.\nAnswer: -0.0092634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2485, 19687, 66373, 157285, 307165, 530755?\n\"Answer: 2457*d**3 + 3*d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l**3 + 3*l**4 + 488*l - 479*l + 6*l**3 + 7*l**2 - 2 as j*l + y*l**4 + i*l**3 + n + w*l**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66151 + -67804763\/1025. Is 1 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 16.15, -33.3, -4\/5 in increasing order.\nAnswer: -33.3, -4\/5, -2\/19, 16.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 4*v - 4. Let g(y) = y**2 + 9*y - 5. Let z(k) = -k. Let w(n) = -g(n) - 4*z(n). Calculate -5*m(q) - 4*w(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 915171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 8450*i**4\/3 + 90742080*i**3 + 2192535265472*i**2\/3 + 89949133824*i + 8302965248\/3 = 0?\nAnswer: -16108, -4\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -739*b + 453*b - 487*b.\nAnswer: -773*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -14*p + 5. Let k(v) = 28*v - 11. Calculate -2*k(t) - 5*w(t).\nAnswer: 14*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 42\/9 + 7 + 60\/(-9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 10168.42kg?\nAnswer: 10.16842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -21, -52, -105, -186, -301, -456, -657?\nAnswer: -910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 84. Let s be d(18). Let m(n) = n**2 - 2*n - 8. Let c be m(-7). Calculate the common denominator of -29\/12 and (1\/(-2))\/(c\/s).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 4*z + 7 = 0, -b + 4*z + 5 = -z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.25 + 2.15. Let m = 2 - j. Let i be 8\/(-14)*2\/(-4). Which is the nearest to i? (a) 6\/7 (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 3271*c**7\/105 - 623*c**3 + 2*c**2 - 63. Find the first derivative of p(j) wrt j.\nAnswer: 26168*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93082 (base 14) to base 15.\nAnswer: -6edb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -8*m**7\/105 - 3*m**6\/10 - 2*m**5\/5 - m**4\/6 - 55*m**2\/2 - 36. Let x(o) be the second derivative of k(o). Factor x(y).\nAnswer: -4*y*(y + 1)**2*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*b**2 + 216 - 213 + 239*b**2 - 62*b**2 - 42*b**2 - 55*b**2.\nAnswer: 32*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8105 - -8107. Which is the closest to -0.09? (a) 242 (b) 1\/6 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3 + 6) + 22\/6. Let p(r) = o*r**3 + 3*r**3 - 16 + 7*r**3 + r - 15*r**3. Suppose -8*k = -4*k. Determine p(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-420)*5\/(-3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 181 = -376 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2 = -27. Suppose -3*d + g*d - 110 = 0. Let w = d - 30. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.52 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 859241971 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*z + 44 - 471. What is the highest common divisor of z and 749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -1\/20*q**5 - 6*q**2 + 0 + 1\/4*q**4 + 0*q**3 - 3\/40*q**6 + 0*q + 1\/112*q**8 + 1\/70*q**7. Factor x(u).\nAnswer: 3*u*(u - 1)**2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 10:36 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2. Suppose -11 = -2*q - r. Suppose j = -q*u + 39, -3*u - j + 20 = 3*j. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.23 * 0.2024.\nAnswer: 1.260952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 11 + 31, 0 = -3*f - 5*s + 28. Let g = 23 + -14. Let o = g - 9. Which is greater: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 470 divide 1177820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, 0.8, -75017?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -42. Let a = w + 48. Calculate the remainder when 37 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqczcqqcczz. Give prob of sequence qccz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1272270 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164 and 574.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (17 - 16 - -9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 104344763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*(-3 + sqrt(17) + 2))**2.\nAnswer: -32*sqrt(17) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 740282588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -36*b**2 + 435*b - 859. Give a(2).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12816 divided by -1424?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7241 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 40*j**2 + 40*j + 3. Let r(k) = 12*k + 183. Let f be r(-16). Let o be a(f). Round o to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 498682 - 735382. What is i rounded to the nearest 1000?\nAnswer: -237000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*1\/2*-34. Solve -4*r - p = -1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5109328kg to nanograms.\nAnswer: 510932800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 152?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676*a = 675*a - 3*d + 9, -4*a - 76*d + 292 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 131057\/7895 - (-32)\/30*(-6)\/4. Solve 2*t - h*y + 2 = -12*y, -2*y = -8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4*y = 10, 0 = -3*k - 9*y + 6*y + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ilojqpjl. Give prob of picking 1 p, 1 j, 1 i, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 88728, 177467, 266204, 354939?\n\"Answer: -u**2 + 88742*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50.6 - -3.6. Let q = p - -47.000066. Round q to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 4 + -3 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 124, 238 in ascending order.\nAnswer: 1, 124, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -0.3 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 908970626.0600024 + -909001456.8. Let b = u + 30826.74. Let g = -4 - b. Round g to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*u - 100213*u**2 - 161*u.\nAnswer: -100213*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7965?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -33.3?\nAnswer: 166.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(92\/(-920))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3178.00156 - -3178. Round v to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -19, -9, 3, 17, 33?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9971 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152230 is divided by 383926.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1\/4 (b) 4 (c) -0.4 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 76246 - -24?\nAnswer: 76271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 6 + 0 - (-1 + -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssdt when four letters picked without replacement from ddsts.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 6*y + 4. Let o be t(-5). Let m = o - 5. Let n(k) = -6. Let x(s) = -s - 12. Let j(b) = 5*n(b) - 2*x(b). Calculate j(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 2, v: 1, g: 4, j: 1}. Give prob of picking 1 j, 1 a, and 1 v.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6*3 + 0. Suppose v - 6 = -y*v. Suppose 1 = -3*p + v*q + 7, -4*q - 12 = 0. Solve p = -0*l + 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(3\/4))**10*(x\/(x**5\/x))\/x**3 assuming x is positive.\nAnswer: x**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y = -4*g + 4, -y + 11 = 3*g. Let w(n) = -3*n**2 + y - 2. Let f(h) = 5*h + 2. Let p(x) = 17*x + 7. Let v(q) = 14*f(q) - 4*p(q). Give w(v(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 29\/9 - (-2)\/(-9). Let b = -2 + 2. Suppose -4*m + 7 + 5 = b. Solve -m*j - 5*n = -2*j - 16, f*n = 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2837778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 456 - 16?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 575 (b) -0.24 (c) -12 (d) -4.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 - 4*g**2 + 0*g**2 + 2*g**2 - 10*g to the form i + h*g**3 + w*g**4 + t*g + r*g**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 0*o - 7*o)*(0*o**2 - 3*o**2 + 5*o**2 + (1 + 4 + 6)*(-2*o**2 + 2*o - 2*o)).\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 388?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 - ((-6 + (7 - -2) - 14) + -1).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from tituu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -192 - -445. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 3*k**2 + 46*k + 141. Let p be y(-3). Solve b - p*u - 17 = 6*b, 0 = b + 4*u + 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -3, -37, 27, 2 in increasing order.\nAnswer: -37, -5, -3, 2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 - 69 - (-1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40.9 + -41. Let p = 2 + -4. What is the closest to k in 4, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/105, 1, 0, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 690.7 to the nearest 10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5836825\/78 - -74825. Let y = -37\/6 - v. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -25*w - 7*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 26 + 26)*(82 - 82 - 61*v) - 3*v**2 + v**2 + 4*v**2.\nAnswer: -181*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 14. Sort n, 4, 0 in ascending order.\nAnswer: 0, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*o - 8, 100*o + z + 2 = 103*o. Let h(a) = a**3 - 2*a**2 - a - 6. Calculate h(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 v when three letters picked without replacement from vvwww.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -30. Let c be (5\/(-1) + 2)\/(h\/17). Calculate the greatest common divisor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zczr when four letters picked without replacement from {r: 8, c: 2, z: 5}?\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 3*m**2 + 9*m + 9. Give v(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**4 + 494*i**3*t + 163*t + 4 wrt i?\nAnswer: -4*i**3 + 1482*i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = 3. Suppose -13 = -3*c - k. What is the greatest common divisor of 13 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9320829 or 0?\nAnswer: -2\/9320829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8775 divided by 2925\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3))**(6\/19)*(f\/(f**(-5)\/f))\/f*(f*f**(-4\/9)*f*f)\/f*f assuming f is positive.\nAnswer: f**(1427\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53633?\nAnswer: 53633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26428, 52874, 79340, 105826?\nAnswer: 132332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 252.3 * -0.3466\nAnswer: -87.44718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -10*d**7\/21 - 19*d**3\/6 - 26*d. What is the second derivative of j(a) wrt a?\nAnswer: -400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 827 - 453. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 29*m + 14. Let p be w(-7). List the prime factors of (5\/3)\/((-9)\/p).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 + 6*j**2 - 5*j - 6. Let k be o(-5). What is the common denominator of (102\/k)\/(1\/3) and 83\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 - 149. Suppose 187 = 7*f + s. Calculate the highest common factor of 10 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24.08829 + 0.08829. What is the second biggest value in -1, 4, c, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -10. Let n be (-5)\/28 - (-1)\/o. Let t = -1.71 + 1.61. Which is the second smallest value? (a) t (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3\/5 (c) -4\/9 (d) 64 (e) -4\/7 (f) 2\/5 (g) 0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1613*m - 10. Let w(u) = -4845*u + 27. What is -8*c(a) - 3*w(a)?\nAnswer: 1631*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -18, -8.\nAnswer: -18, -8, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 - 1425136?\nAnswer: -1425202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/(-55)*(5 - 0). Let r be 8*(-2)\/(-4) - o. Let b = r - -55. Is 29 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -20 (b) -1 (c) 2\/5 (d) -1\/5 (e) 15\/209 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396 a factor of 1161440898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*v + v**2 - 284*v - 567*v.\nAnswer: v**2 - 643*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47450228 and 3724?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2112 and 165264?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 286047*g**2\/4 - 286021*g\/4 - 13\/2 = 0. What is g?\nAnswer: -26\/286047, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*y + 5*s - 110, 27 = s + 30 - 7 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 575\/32 - 1709\/96. Let n(v) be the second derivative of 0*v**3 + 20*v - c*v**4 + 0 + 20*v**2. What is the derivative of n(f) wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 10:26 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r + 6. Let y(w) be the third derivative of -5*w**4\/24 + 5*w**3\/6 + 5*w**2. Give 4*q(h) - 5*y(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12521 (base 9) to base 5.\nAnswer: -232233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*d + 84 = 5*d, -5*z - 5*d = -95. Suppose -5*v - z = -8. Let w be 12\/162 - 0\/v. Is w smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17114 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*r = 69*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5001 - -13?\nAnswer: -4655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.76 - 0.24. Let z = -16.00000054 - o. What is z rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -3*a**6\/10 - 5*a**4\/6 - 9*a. What is the third derivative of d(k) wrt k?\nAnswer: -216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 1. Suppose -b + 10 - 4 = 4*n, -4 = -2*n - b. What are the prime factors of d(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -528 divided by 454\nAnswer: -264\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*c + 32359, 470*c + 32352 = 473*c + 3*z. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 5470 + 1887. What are the prime factors of z?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 - ((25 - (-58 + 74)) + 6 + -3)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 7*d - 16. Let j be m(9). Let a be (-8)\/(-8)*5*j. Suppose 5*w**4 + w**5 + w**5 + w**4 + 2*w**2 - a*w**2 = 0. What is w?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1163 - -50766. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2)*f)**(-10\/19)\/(f**8\/(f\/f**7*f)) assuming f is positive.\nAnswer: f**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/67 smaller than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -11*d + 98. Let r(b) = -2*b + 4. What is -5*r(j) + w(j)?\nAnswer: -j + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**4\/12 - z**3\/6 - z**2\/2 - 3*z. Let u be s(-1). Let n be 1\/1 + (-2 - u). Solve n*i = 3*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*s - 3*x, 3*s - 4*x - 19 = -9*x. Suppose -n + 10 = -0*n. Calculate the smallest common multiple of n and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 (base 16) in base 14?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (6 - 429\/22)*4\/(-3) and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooyz when four letters picked without replacement from vozovy.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1056*n**3*z**3 - n**3 - 4*n*z**3 - 3*n - 1322 wrt z.\nAnswer: -3168*n**3*z**2 - 12*n*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-5\/2)*j**3)\/(j**(2\/7))**(-1\/7) assuming j is positive.\nAnswer: j**(151\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 54 (b) 3 (c) -0.239 (d) -2\/29 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15501768.5 rounded to the nearest 10000?\nAnswer: 15500000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is -5750438 greater than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 142 divided by 71\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165735 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 2. What is k(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -5*l**4\/24 - 9*l**2. What is the units digit of u(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 - 2*u - 8. Let y be v(-4). Let g = y - -54. Let z be (-46)\/(-7) + g\/14. Solve -i - z = -2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**7\/315 - v**6\/36 - 2*v**5\/45 - 4*v**2 - 32*v. What is m in z(m) = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 5*b**2 - 3*b. What is the remainder when 74 is divided by h(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782*w + 2702*w = 34560 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 634, 617, 586, 535, 458?\n\"Answer: -i**3 - i**2 - 7*i + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000064531 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**3\/6 + y**2\/2 + 4*y - 18. Let c be b(-14). Suppose -120 = -4*m + 60. What is the highest common factor of m and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 18*h + 4 = 16*h, 2 = -j - 3*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 0, 2*m + 12 = 6*m - z. Let g be -311*m\/(-21) - 44\/(-77). Calculate the greatest common divisor of 75 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + p + 2*p)*(-5*p - 6*p + p)*(157*p**3 + 25*p**3 - 24*p**3).\nAnswer: 3160*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 58*u**2 - 15*u - 26. What are the prime factors of c(-4)?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -59, -41, -11, 31, 85, 151?\n\"Answer: 6*h**2 - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:06 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w - u - 14, 21 = 4*w + u. Suppose 2*f + 9 = 3*i, -w*i - f + 31 = f. Suppose 0 = 2*y - i*y + 12. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oosskooibboo. Give prob of sequence bibs.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**5 - 56865*w**4 - 3117198*w**3 + 24607800*w**2 = 0.\nAnswer: -18900, -62, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from aoryroyyyoo.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600329 to the power of 1\/2, to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*l + 1815 - 339 = -1198 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1231522 - 185696276?\nAnswer: -186927798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 272*i + 13219*i - 1 + 4616*i.\nAnswer: 17563*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j + 25 = 3*z, -3*z + 49 = -j. What is the least common multiple of 27 and z?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2313.1 + 2313. Put r, -2\/447, -0.5 in descending order.\nAnswer: -2\/447, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1867 is divided by 752.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 q, and 1 m when four letters picked without replacement from {q: 2, m: 8, y: 4, b: 1}?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 20*b**2 + 41*b - 37. Let z be a(16). Is z >= -405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -5, -1, -10, 2.\nAnswer: -10, -5, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -3, 4990 in decreasing order.\nAnswer: 4990, -3, -41","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -2620 - -2686. Solve -14*s = -25*s - n for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by 23?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 5*m + 8. Let v be w(11). Let b = -155147\/37103 + -1\/3373. Calculate the common denominator of (v\/80)\/((-4)\/(-30)) and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/28*75\/(-990))\/((-2)\/(-11)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 18*i - 52. Calculate the least common multiple of 48 and d(10).\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/(1\/(-4)). Let v(z) = 6 - 4 + 7*z**2 - z**3 - 5*z - 2. Let d be v(6). Solve -r*n = -d*n + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**3 + u**2 + 152*u**4 - 75*u**4 + 83*u + u**3 - 76*u**4 as l*u**2 + t*u + w*u**3 + g*u**4 + o and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 62 - 10 = 0. Let f be y*1*4*-1. Let h be (-1)\/2*(-24 + -2). What is the greatest common divisor of h and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4094274?\nAnswer: 2, 3, 131, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u = -20*u + 35 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5098.4*16.1.\nAnswer: 82084.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 9*n. Suppose n = 5*t - 0*t - 16499975. Suppose -5*i + 8249990 = -2*r, -r = 2*i - 4*i + t. Round i to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38356.\nAnswer: 2, 43, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + ((0 + sqrt(76))*-3 - sqrt(76))) - (4*-6*sqrt(76) + sqrt(76) + (sqrt(76) - 5*(-1 + sqrt(76) + sqrt(76)))))**2.\nAnswer: -1120*sqrt(19) + 59684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.49 times -205.403\nAnswer: 100.64747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 14074?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/6*72\/(-48). Let b be (-32)\/(-14) - (-2)\/(-7). Let d be -3 + 4 - (-1 + b). Solve 0 = -d*h + 5*h - v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51910435.\nAnswer: 5, 17, 29, 21059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from {c: 1, m: 1, e: 8, p: 8}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**3 - 26*m**2 + 47*m - 266. Calculate o(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 39*o - 18. Let t(i) = 11*i - 5. Suppose 3*x + u + 12 = 5*x, 4*u + 13 = x. Let l(j) = x*m(j) - 18*t(j). Let w(n) = 2*n**2. Calculate l(w(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.246815 months?\nAnswer: 0.10390125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 33*t - 17 - 17 - 17 + 69.\nAnswer: 33*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**2 + 6*i + 2. Let s(n) = -n**2 + n. Let l(b) = -2 + 3 - 2*b - 7. Let k be l(0). Let h be (-1 - 0)*2 + 3. Calculate h*o(g) + k*s(g).\nAnswer: g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcp when three letters picked without replacement from ppwpphhhphhcpp.\nAnswer: 5\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/8 + 2\/(-8). Let u(l) = -l**3 - 70*l - 8 + 81*l + 5*l**2 + 3*l**y. Calculate the lowest common multiple of u(9) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14244 is divided by 158?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(((-7)\/(-49)*-2)\/(56\/(-98)))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/8 of a century?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-69)\/(-180) - (-4)\/(-16). Let d(t) be the first derivative of -1 + 2\/3*t**2 - w*t**5 + 2\/3*t + 0*t**3 - 1\/3*t**4. Factor d(f).\nAnswer: -2*(f - 1)*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + a - 195, 38 = -v + 3*a + 93. Let r = 220 - v. Let p = r + 37. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let h = -8 + 14. Suppose -5*v + 310 = -5*w, -266 + h = -5*v - 5*w. Let u(b) = 3*b**2 - v*b + 57*b. Determine q(u(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4326*h - 4327*h + 8665*h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 4*n**2 - 3*n + 1. Let d be k(2). Suppose p - 4*m - 10 = 0, -3*p + 16 = -3*m - 5. Solve -4*y - 2*b = 10, 2*b - 5 = d*y + p*b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 2. Let v = 18 + -11. Let a be o(v). Let c be (-3)\/(2*1\/(-24)). Calculate the highest common factor of c and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 32 = 9*k. Factor 31 - t**2 - 6 + k*t**2 + 2 + 18*t.\nAnswer: 3*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 1558592.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.8 (b) -2 (c) 1\/8 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/162 and 109\/36?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4 + 3 - 7 - k. Let a be n(-1). Is ((-330)\/(-77))\/(a\/7) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-39)\/(-6)*4 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 11*r**3\/3 + 7*r**2\/2 - 9*r - 1. Let m = -7 + -2. Let a(s) = 5*s**2 + 3*s - 4. Give m*a(c) + 4*l(c).\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1200)*-1 + 4)**2 - (-3 + (sqrt(1200) - (1 + sqrt(1200))))**2)*-6*3.\nAnswer: -21600 + 2880*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*x**2 - 261*x**2 + 471*x**2.\nAnswer: 86*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3226512334?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xii when three letters picked without replacement from {x: 8, i: 5}?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 105 + 59. List the prime factors of (-18)\/72 - j\/(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmrrarrvrrrpvmprxv. What is prob of sequence mv?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229521?\nAnswer: 3, 76507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1603496012 divided by -4?\nAnswer: 400874003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/3462 and 1015\/(-1260) + (-33)\/(-12)?\nAnswer: 10386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28357953.\nAnswer: 3, 13, 197, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + x**3 + 2*x**2 + 3*x + 3*x**2 - x**2. Suppose 0 = -5*i - j - 19, -5*i - 3*j - 32 = -5. What is the remainder when 8 is divided by h(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v + 2*v)*(0*v**2 + v**2 - 3*v**2) + 1860*v**3 + 1065*v**3 - 3785*v**3.\nAnswer: -856*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1638 and 33138?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/7))**(-32\/7) assuming a is positive.\nAnswer: a**(-320\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348465091.\nAnswer: 13, 313, 85639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 66*a**5\/7 - 1261858*a**4\/7 + 1812744*a**3 - 15893984*a**2\/7 - 89889024*a\/7 + 5503392\/7 = 0. What is a?\nAnswer: -2, 2\/33, 6, 19109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4500.648 minutes in milliseconds?\nAnswer: 270038880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -450.02 from 5024665273.\nAnswer: 5024665723.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 90, 5, -4, -5, -3, 50 in increasing order.\nAnswer: -5, -4, -3, 3, 5, 50, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - m - 1. Let g(y) = -3*y**2 + 14*y + 6. Let j be g(5). Let k(c) = 9*c**2 - 6*c - 6. Calculate j*k(l) - 6*w(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -5692707.\nAnswer: -68312484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 543697 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3679245\/120 - (6 - 1) - (-6)\/(-16).\nAnswer: 5, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15*d**2 + 5. Let c(q) = 31*q - 31*q + 7*q**2 - 109 + 112. Let t be (-9 + 2\/1)*1. Let f(y) = t*c(y) + 4*n(y). Differentiate f(j) with respect to j.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from {y: 4, b: 1, k: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-56)\/(-20))*20\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**3 + 10*i**3 - 17*i**3)*(3 + 0 - 1) to o*i + a*i**2 + l*i**3 + m and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19838, 19839, 19840?\nAnswer: 19841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**7\/42 - v**6\/30 - 5135*v**4\/12 + 13505*v**3\/6 + 10444*v. Find the second derivative of z(y) wrt y.\nAnswer: -20*y**3 - 12*y**2 - 10270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1.0359, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 1, d: 2, l: 2, u: 1}. What is prob of sequence uj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 574\/5 + -114. Let m = -7 - -3. What is the biggest value in m, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 226612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 271564150 by -549725.\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -116*((-15)\/6 + (-1 - -4)). Let c = o - -182. Calculate the common denominator of 2 + -4 + (-4)\/((-192)\/c) and 37\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - v - 4*v + (-7 - 7 + 4)*(3*v + 4*v - 6*v) + 5*v + 0*v - 3*v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8*r = 32. Is (-2)\/r - 27\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 16*l**2 + 14*l - 11. Let n be z(-15). Does 22 divide (62\/n)\/((-2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 116 and 0.2.\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24282 and 290852.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*n**2 + 103*n**3 - 110*n**2 + 151*n**3.\nAnswer: 254*n**3 - 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.14, -0.8, -3 in decreasing order.\nAnswer: 0.14, 0, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) -125 (c) -0.3 (d) -8.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 7. Suppose 7 = -2*p + 3*p. What is the remainder when p is divided by t(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6\/5, 0.3, 448, -31, 2 in increasing order.\nAnswer: -31, 0, 0.3, 6\/5, 2, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42990821 is divided by 3100.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21833 - 21862.31. Round b to 1 decimal place.\nAnswer: -29.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -966703 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 3*p - 6. Suppose -5*x - 20 = 0, -3*a = x + 1 - 9. Is u(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2827191, -60, 2.\nAnswer: -2827191, -60, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5798*q**2 + 3627*q**2 - 216*q**2 + 470*q**2 - 9.\nAnswer: 9679*q**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 100, 265, 496, 787, 1132?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 908*g - 4640.\nAnswer: 4*(g - 232)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210373?\nAnswer: 71, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 871?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/13 (b) 1 (c) 3 (d) -5\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 577240, 577242, 577244, 577246?\nAnswer: 577248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -98119252421 + 220?\nAnswer: -98119252201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50*(-1 + 6\/4). Suppose 16*c - 49 = 47. Solve w - z = c*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5295853\/746 + 7099. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 274779.5nm?\nAnswer: 0.02747795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m*m*m\/m**(-5\/11)*m)*m)*m**(2\/15))**11 assuming m is positive.\nAnswer: m**(427\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*l = -82*l + 151*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r - r - 3*r)*(-r**2 + r - r) + (5*r**2 - 2*r**2 - r**2)*(2*r + r - 2*r) as y + o*r**2 + j*r**3 + a*r and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/8*(-12)\/9. Let d(c) = c**h - 4*c**2 - 2*c**2 - 2*c**2. What is d(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a*g**3*z + 197*a*g*z**2 - 26*g**3*z**2 + 1810*g*z wrt z.\nAnswer: 394*a*g - 52*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002931 rounded to seven decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*sqrt(5)*3.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2667699 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/19, 2227, 2?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 13) to base 6.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (16 - -2) + (-50 + 62 - 39)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23660 = -4*v + 213308. Let l be (-1)\/5 - v\/(-60). What is l rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 12) + 1 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -12*f**2 - 94*f + 3. Let l be p(-10). Let o = l + 262. Solve -y = 3*d - 2*y - 4, -o*d + 5*y = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvu when three letters picked without replacement from {e: 2, q: 4, g: 4, p: 3, u: 3, v: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 564220298 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-34 + 22 + (-19 - -7))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5448 + 5448.03641. Round j to 3 decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 204 + -186. Suppose 3*x - 10 = w, 7*w - o = 4*w - 3*x. Factor -n + 0 - 1\/2*n**4 - 5\/2*n**2 - w*n**3.\nAnswer: -n*(n + 1)**2*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.2 - 7. Let u = -987 - -987.5. Which is the second smallest value? (a) w (b) u (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4853 - 1.512854. Round v to 3 decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3854 = 3*o, -3*o + 5*l + 3566 = -258. Let j = o - 858. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -9*q**3 + 2*q**2 - 42*q - 10. Let n(p) = 5*p**3 - p**2 + 21*p + 6. Give 3*m(a) + 5*n(a).\nAnswer: -2*a**3 + a**2 - 21*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80 - -95) + -1*11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*o + 111*o = -60. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 5*p**4\/4 + 3*p**2\/2 - 7. What is the second derivative of c(r) wrt r?\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -286 + 303.9. Let g = y + -18. Let n = -18.4 - -15. Which is smaller: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(84)*-1)\/(sqrt(12) - 3*(sqrt(12) + sqrt(36)\/sqrt(3)) - sqrt(12)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**6\/180 + l**5\/6 + 3*l**4\/4 + 13*l**3\/9 - 2*l**2 + 52*l. Let k(n) = 0. Calculate n.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 5*k**3\/6 - 3*k**2\/2 + 3*k. Let q(f) = -1. Suppose -3*u = 9, -3*u - 3 = -r - r. Determine r*q(t) + s(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 14*b**2 - 11*b + 17. Let m(f) = 5*f**2 - 4*f + 6. Let t = 31 + -20. What is t*m(h) - 4*d(h)?\nAnswer: -h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011516853 rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 440a4 + -38?\nAnswer: 44067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*g + 27 = g, -q + 14 = -4*g. What is the second derivative of 27*c - 12*c**3 + q*c**3 - 35*c**4 + 2*c**3 wrt c?\nAnswer: -420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 88 + 203*x**2 - 49 - 39. Let q(o) = o**2. Give q(v(l)).\nAnswer: 41209*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - 5*(sqrt(30)\/sqrt(3) - sqrt(10)) - sqrt(10) - sqrt(10))\/((sqrt(2) + sqrt(4)\/sqrt(2))*-2) + 4 + ((sqrt(5) + 0)*-3 + sqrt(5))*5)**2.\nAnswer: -78*sqrt(5) + 7861\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1222 or 1\/9?\nAnswer: -1222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -1.1 in descending order.\nAnswer: 5, -1.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/90, -5, 1\/7, 0.1 in decreasing order.\nAnswer: 1\/7, 0.1, 1\/90, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127484237?\nAnswer: 127484237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16085867*d**3 - 1715*d - 5792?\nAnswer: -96515202*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-5)))\/b)\/(b\/b**(-1\/3))*((b\/(b**4*b))\/b)\/b*b**(2\/11)\/b*(b**(1\/5)\/b**(-5))**(1\/65) assuming b is positive.\nAnswer: b**(-3359\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-18 + 17 - -8 - -37) + -19\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 3193377420579 - 3193377420579.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**2 + 4605 - 4605.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26208288 and 1060?\nAnswer: 131041440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0 = -3*z + 4, 0 = -5*a - 4*z + 2. Solve -3 = -a*s - s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/5 - 13001*g**2\/5 - 5201*g - 13003\/5.\nAnswer: (g - 13003)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*w - 1695 - 19 - 470 = 0 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 2411160.\nAnswer: 12055800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 s, and 2 k when four letters picked without replacement from qqkqsokqske.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + i - 5*i)*(5972 - 3334 - 3442)*(-i**3 + i**3 + i**3) as q*i**3 + k*i + f*i**4 + a + y*i**2 and give f.\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.03 - -9.77. Let x = a + -16.1. Let j = 6.454 + x. What is j rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 7 = -5*i + 3*s, 13 = 4*i + 5*s. Suppose -i*b - 9 = -151. Suppose -b*f = -77*f + 276. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -203\/2 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 4) to base 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/13))**(-31) assuming c is positive.\nAnswer: c**(62\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*b = -35, 2*q - 5*b - 115 = -3*q. Suppose 4*v + 5 = 3*o, 5*o - 3*o = -3*v - q. Let n be (-4 - -1) + 7 + -5 + 4. Sort n, 1, o in descending order.\nAnswer: n, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -105*m + 515. What is z(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 4*g - 19. Let x be n(-5). Suppose -19 - x = -5*a. Let v = a - 13. Sort v, -3, 0.\nAnswer: v, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39079 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0613074817 rounded to five dps?\nAnswer: 0.06131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 1:51 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u + 23. Let f(v) = 6*v - 22. Let a(c) = -4*f(c) - 3*n(c). Let s be a(-13). Suppose 0 = -3*k + s + 2. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-2 - 0)*1. Suppose 4*r - r = 0. Suppose -3*g + 6 = r, g - 14 = 5*z + 4*g. Sort -1, l, z in decreasing order.\nAnswer: l, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/18)\/(-49*70\/(-92610)). Let 3\/2*r - 1\/6*r**4 - 1\/6*r**3 + t*r**2 + 0 = 0. What is r?\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (122 - 246 + 285*s + 124)*(-5*s - 5*s + 2*s) to the form p + y*s + f*s**2 and give f.\nAnswer: -2280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(288) + 3 + sqrt(288)) + -3 + -5 + ((sqrt(288) + 1)*2 + sqrt(288) - sqrt(288)))**2 + 3.\nAnswer: 576*sqrt(2) + 1299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7903875?\nAnswer: 3, 5, 7, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(444*44\/(-1056)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2902*i - 30072 = -396*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j - 24. Let r be x(-10). Suppose 0 = -5*y - 5, -f + r + 6 = -y. What is the lowest common multiple of 6 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 + 3) - (3 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/2 - 87*t**2 + 369*t\/2 + 270.\nAnswer: -3*(t - 3)*(t + 1)*(t + 60)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000425 to 7 decimal places.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-1000)\/(-90))\/(-10))\/((8\/6)\/1)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**3 - 2*k**2 + 2*k + 4. Let m be u(-2). Let g = m + 52. Suppose 5*n - g*b + 2*b - 194 = 0, -4*n - b + 150 = 0. Does 33 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18, 40, 86, 162, 274, 428?\n\"Answer: p**3 + 6*p**2 - 3*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-48))\/(35\/(-56))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1585 - 811. Suppose o - 258 = d - 0*d, -3*o = d - i. Does 32 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**4 - 15*c - c**3 - 5*c**4 + 3*c**2 + 14*c to o*c**3 + b*c + z*c**4 + g*c**2 + i and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 92 + 233 = 5*s, -5*f - 4*s = 343. Let w = f + 112. Let d = -45 + w. Solve -2*i = -o + 9, d*i - 4*i = 4*o + 24 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 226*a**6\/15 - a**3\/2 + 39*a**2\/2 + 300*a + 1. Find the second derivative of o(u) wrt u.\nAnswer: 5424*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 5*m - 3*n, -624*n = -2*m - 622*n + 36 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -14735.\nAnswer: 1\/14735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by (-3)\/((-102)\/93 + 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166 (base 10) in base 15?\nAnswer: 52b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.63 less than -0.02347343133?\nAnswer: 28.60652656867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -286.02 - -289.02. Sort 4, t, 180\/13.\nAnswer: t, 4, 180\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -7*z**3\/3 - 1. Suppose 0*c - 2*c = 0. Let t(s) = c*s + 3*s + 2*s - 3*s. Determine t(l(b)).\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 6*k + 10 - 15 = k, l + 1 = k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1\/3 (b) -1 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (((2 + sqrt(1331) + sqrt(1331) - sqrt(1331))*-6)**2 - sqrt(1331)))*2*-4.\nAnswer: -384456 - 12584*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25*85\/1428)\/1 - (-25)\/15.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.835023 centimeters to millimeters.\nAnswer: 28.35023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 187621 + (-1 - (3 + -4)). Let d = 3887621 - y. Round d to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3b (base 12) to base 14\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 6*(sqrt(1008) - (3 + sqrt(1008))) + 1 + -1 + 2)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19941, -79129, -177769, -315861?\nAnswer: -493405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3 - 4170648*h**2 - 2174283921834*h + 4348584526276 = 0. What is h?\nAnswer: -1042663, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/35542320 and -67\/22440.\nAnswer: 604219440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i = 20*i + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0, -14, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4 = t - 4*o, t + 5*o + 5 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*z - 4*o, -2*z + 2*o = -3 + 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 35 = -3*i + 6*a, 2*i - 5*a + 25 = 0. Let c be ((-18)\/45)\/((-8)\/i). What is the nearest to c in -3\/5, 2\/5, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 2)*(2 + 0 + 1)*(3*j - 2*j - 3 + 0*j).\nAnswer: 9*j - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3626 + 66*d - 20*d**3 + 59*d - 134*d + 49*d wrt d?\nAnswer: -60*d**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4*l = 5, -20 = 3438115*s - 3438111*s + 5*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 + 2*q**3 - 2*q**2 + (-10*q**3 + 3*q**3 - 2*q**3)*(0 + 1 + 0) + 0*q**3 + q**3 + 0*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*s, -3*i - 3 = s - 2*s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 3:05 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5*o - 19 = 0, -486*n - 30 = -471*n - 0*o + 2*o - 5*o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 + 290*z\/7 + 1128\/7.\nAnswer: 2*(z + 4)*(z + 141)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {q: 8, b: 3, x: 2, e: 5, j: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*b - s = -302, -65*b + 4*s = -66*b - 2 - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-376*q + 422*q - 3 + 3)*(-2*q + 2*q - q).\nAnswer: -46*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + -1 + -29 + 27.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 + 0*d**4 + 0*d**4)*(d + 2*d - d) - d**5 - d**5 + d**5 - 13*d**5 - 4*d**5 + 4*d**5 + (0 - 2*d + 0)*(-d**3 + 2*d**4 + d**3).\nAnswer: -16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60333 and 27251?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2607 and 72759.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 26 = -20. Let h(y) = y**3 - 3*y**2 + y + 2. Let j be h(f). Is j at most as big as 2\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/60 - (-248)\/(-5115)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -172\/3. Let f = h + 44\/15. Which is the third smallest value? (a) 2\/17 (b) f (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -5*c**4\/4 - 25*c**3 + 85*c**2 + 584. Factor m(p).\nAnswer: -5*p*(p - 2)*(p + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96*g + 634*g**3 - 3*g + g**4 - 632*g**3)*(-23 + 4 - 22 - 36).\nAnswer: -77*g**4 - 154*g**3 - 7161*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000672239546 rounded to seven decimal places?\nAnswer: -0.0000672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + -1 - (0 + sqrt(52)))*4*-4 + 2 + 0.\nAnswer: -128*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*((-6)\/4)\/(-3). Suppose -6*s = -11*s + 10. Let o = s + k. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(77)\/(sqrt(504)\/sqrt(2)))**2.\nAnswer: -97\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(1 - -4 - 3). Let l(r) = 13*r**2 + 2*r + 1. Let b be l(-1). Suppose -j*t + b = -52. What is the lowest common multiple of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1256 + 4025. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**2. Let q(t) be the first derivative of 11*t**5\/120 + t**3\/3 - 3*t**2\/2 + 90. Let h(i) be the third derivative of q(i). Give h(s(x)).\nAnswer: 77*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + 12*r - 17. Let f(w) = -w**2 + 6*w - 8. Let k(l) = 5*f(l) - 2*u(l). What is k(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.284943 to 3 dps.\nAnswer: 0.285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-26)\/(-5))\/((-64)\/70) and 49\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -587\/18 (b) 2\/15 (c) 5 (d) -2364\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-6 + -1) + (31947\/4278 - 1\/2).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23332*s**4 + 21*s**3 - 94171398*s**2.\nAnswer: 559968*s + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1273, -2552, -3839, -5134, -6437, -7748, -9067?\nAnswer: -10394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**6\/40 + 5*z**4\/24 + 5*z**3\/3 + 11*z**2. Suppose 0 = -2*m + 2 - 8. List the prime factors of y(m).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/20)\/((-1)\/5). Let n be (-1)\/(-2) - 21\/t. Let z be 2*2\/n*-3. Sort 3, -4, z in increasing order.\nAnswer: -4, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70677 is divided by 2473.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 1. What is the remainder when 22 is divided by c(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*h - 52 = 0, 2*h - 37 = -2*x + 7*h. Suppose 0*p + 4*p = x. Suppose i + p*i - 60 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16642 - -1213224?\nAnswer: 1233166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 17064 - 59162. Suppose 3*x - o = 56351. Round x to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, -442, 14603 in descending order.\nAnswer: 14603, 81, -442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.03033733 + -1365834.73566267. Let z = 1365979.7659846 + i. Let j = z - 128. What is j rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -54*l**2 - 16*l - 24. Let j(b) = -80*b**2 - 17*b - 24. Let u(g) = -3*d(g) + 2*j(g). Factor u(r).\nAnswer: 2*(r + 3)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11314596\/121 or 93508?\nAnswer: 11314596\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2665 times -380?\nAnswer: -481.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1266*f**3 - 330*f**3 + 1160*f**3 - 579*f**3.\nAnswer: 1517*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(8) - (sqrt(64)*2)\/sqrt(8)))\/((sqrt(192) - (sqrt(192) + 2*sqrt(192))) + sqrt(3) - (sqrt(192) - sqrt(48))).\nAnswer: sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 8:23 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/p**(-1\/8))\/p))\/(p\/(p**(2\/3)\/p*p)*p))\/((p**5*p)\/(p\/(p**2*p))) assuming p is positive.\nAnswer: p**(-203\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 0.1, -2663, -3\/7, 2\/17?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g - 2 - 3*g - 3*g + 11*g. Suppose -5*x = -4*y - 20, -5*y - 2 = -x + 2. Give p(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - 342.05. Let s = v - -342.5. Which is the second smallest value? (a) s (b) -28 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u. Let v(w) = -11*w**2 - 253*w - 7. Let z(o) = -5*o**2 - 128*o - 3. Let q(f) = -3*v(f) + 7*z(f). What is a(q(m))?\nAnswer: 12*m**2 + 822*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -9*v + 53 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - 6)\/(-5) - (-176)\/(-55)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 9) in base 11?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 9:31 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 0. Suppose 0 = 5*x - 3*v - 2 - 31, 4*v = -3*x + 14. Is x bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-15))\/(1156\/867)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 11*y**2 - 2*y + 6. Determine b(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a factor of 148452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2250*s - 7975. Give t(4).\nAnswer: 1025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/9 - 26*r**2 + 158*r\/3 - 238\/9.\nAnswer: -2*(r - 1)**2*(r + 119)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c603 (base 14) to base 9.\nAnswer: -120431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/66*9)\/(4\/(-480)). What is the highest common divisor of 810 and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l - l + 3*l + (3*l - 3*l + l)*(-5 + 2 + 5).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*t - 4085530 + 4085530 to the form p*t + r and give p.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*((-3)\/16)\/((-16)\/448). Is (h\/(-15) + 2)*-150 + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 21*f + 30*f + 29, -4*f = 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1839 is divided by 445.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from nkkkkkkknpkkkp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(23\/2))\/m)\/m)\/((m*m**(1\/11))\/m) assuming m is positive.\nAnswer: m**(229\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*l - 17 = 59*l + 4*n, -34 = -3*l + 5*n. Let t be (1\/7)\/(1104\/28). Let r = t + -2\/23. Which is the smallest value? (a) r (b) 1 (c) 0.5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.31 - -0.21. Let f = -1.7 - -1.88. Let k = -7.82 - f. Which is smaller: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**8\/112 - 33*n**7\/70 + 55*n**4\/24 - n**3\/3 + 743*n**2 - 1. Find the second derivative of k(s) wrt s.\nAnswer: -60*s**3 - 1188*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6392 divided by -94\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2. Let s = -3 - -5. Let t(o) = -10*o**2 + 7*o**s - 3*o**2. Determine t(n(l)).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*y + 57*y - 4 = -4*t, -4 = -2*y - 2*t. Solve -13 = 4*f - g + 6*g, y*g = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 85*h + 53 = -267 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 7*l**2 + 6*l - 4. Let p be c(-8). Calculate the greatest common divisor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(3\/13))\/l)\/(l*l*l**42*l)*l**(-11)*l*l**(-12) assuming l is positive.\nAnswer: l**(-868\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 26969332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (733\/(-4))\/(15\/(-2940)*7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4873 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7065454?\nAnswer: 2, 11, 19, 16903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b1bb4 + -174?\nAnswer: b1a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -218, -223, -228, -233, -238, -243?\n\"Answer: -5*o - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 418 = 550. Let y = -18386\/19 - o. What is the third biggest value in -5, y, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/7, 1\/69, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5815 - -4041453\/695. Find the common denominator of 49\/45 and y.\nAnswer: 6255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**6\/40 - 7*p**5\/60 + 21*p**4\/8 + 55*p**2 + 2*p. What is the second derivative of a(v) wrt v?\nAnswer: -18*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1367 - 1309. What is the remainder when k is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a hour in seconds?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21857 divided by -11?\nAnswer: -1987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**5\/30 + 7*j**2. Let n(b) = 1 - b - 1. What is n(h(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, t: 1}. What is prob of picking 2 s?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -146\/5 greater than or equal to -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52.908 - 0.092. Let m = d - -53.032. Let w = m - -13.968. Put -2, w, 2\/13 in decreasing order.\nAnswer: w, 2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14567583377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/4 of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -66 - -a1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 2977745.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y - 30. Let t be k(-11). Suppose t*g + 0*u - 3*u = 63, -4*g + u + 96 = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.2 at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 - 392*o + 138. What is d(-131)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 711192973 to the nearest integer?\nAnswer: 26668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 5*c = 8, 3*u - 34*c - 6 = -37*c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 319525 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*j - 1 + 75*j - 41*j - 114*j**2.\nAnswer: -114*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l + 26. Give o(8).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 110681453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 5*h**2 + 6*h + 2. Let u be c(-6). Solve -y = -u*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 6065\nAnswer: 3\/6065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (348\/(-108))\/((-2)\/18). Let w be 2\/(-3) - (-16)\/6. Suppose t + 13 = w*i. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -250 - -54?\nAnswer: -1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 6)*(-q + 4*q - 4*q)*(-4 + 0 - 10) to the form w + y*q and give y.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -123*h**2 - h - 2. Let w be u(-1). Let m be 4 + (-4 - -6) + w\/21. Which is the closest to 1\/3? (a) -3 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159\/212*((-3)\/(-1) - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 13 = 1. Suppose x = -n*x. Let c be ((-7)\/5 + x)\/(-1). Is c at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -38.\nAnswer: -5\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 376783768031.3 - 5\nAnswer: 376783768026.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*w**2 + 129*w**2 - 257*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77747187 is divided by 786?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k + 4894 = 95*k - 3485. Calculate the greatest common divisor of 477 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*u - 3 = 0, -6*u - 21 = -3*n - 4*u. Suppose -20*x + 12*x + 200 = 0. Calculate the remainder when x is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(44) + sqrt(1100) + 1 + 0 - (sqrt(33)\/sqrt(75) - 2*(sqrt(11) + -3))))**2.\nAnswer: -552*sqrt(11) + 211984\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 13*u - 13. Let o be s(12). Let p be ((-3)\/4)\/((-132)\/64). Which is smaller: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1313110 (base 4) to base 15\nAnswer: 23e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*i + 3*i + 10335, 3*d = 5*i + 51565. Let n = 185533\/18 + i. Calculate the common denominator of -95\/12 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -486, -4050, -13724, -32562, -63618?\n\"Answer: -509*b**3 - b**2 + 2*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 42937 and -5431819.\nAnswer: -5388882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 - 401016?\nAnswer: -400877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -208\/3 + 1468\/21. Let l = -501 - -504. Sort 4, k, l in increasing order.\nAnswer: k, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*2 + sqrt(190))\/sqrt(10) + (-2*sqrt(684) + sqrt(684) - sqrt(684)).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/9, 30, 0, 2 in increasing order.\nAnswer: -2\/9, 0, 2, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 - 65. Let w(j) = -2*j**2 + 13*j + 17. Let i be w(7). Let o(u) = -u**2 + 9*u + 22. Let x be o(i). Solve -c - m*z = -3*z - 8, -4*c - 2*z + x = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m - 5. What is p(3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 + 2*k - 1. Calculate the least common multiple of g(1) and -6*(2\/(-4))\/(2\/4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v + 1 - 1 + 1 - v. Let i(l) = 18*l - 4. Let o(z) = 3*i(z) + 8*q(z). Suppose -2 = -2*f + 3*t + 3, -4*t = -5*f + 16. Calculate o(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/26)\/((9\/(-81))\/(35*11\/(-99)))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4\/7 + 292*b**3\/21 + 4610*b**2\/21 - 209096*b\/21 - 23400\/7 = 0. What is b?\nAnswer: -27, -1\/3, 26, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 - 53. What is the closest to -1\/2 in 1\/40, x, -2?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 2*s + 30. Let r be (6\/10)\/(3\/s). Let g(b) = b - 1. Let l(q) = -q**2 + q - 2. What is r*g(o) + 2*l(o)?\nAnswer: -2*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*r - 6 + 2, -5*o + r = -20. Calculate the highest common factor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.1218 - -14.056283. Let r = 1.935033 - v. Let y = -2 + r. Round y to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52680452 divided by -44.\nAnswer: -1197283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/(13\/(-182)). Let m be y\/(-4) + 1\/4. Which is the nearest to 0.1? (a) -2\/7 (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 6:46 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 + 104041424?\nAnswer: 104042024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23970*l**2*y**3 + 52*l**2*y**2 - 115*l*y**2 + 508*l*y - 4474*y**3 wrt y.\nAnswer: -143820*l**2 - 26844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19548 and 19386.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38205, 679, -4.\nAnswer: -38205, -4, 679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/12743 + 1159293\/815552. Find the common denominator of 1\/4 and o.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 186, 232, 290, 366, 466, 596, 762?\n\"Answer: h**3 + 39*h + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l + 974 = 1426 - 1272 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = 3*n - 1603. Calculate the least common multiple of 66 and n.\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04543 times -2545?\nAnswer: -115.61935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**2 + 3*l**2 + 0*l**2)*(-404*l - 38 + 81 - 43)*(-l + 0*l + 4*l) to the form o*l + b*l**3 + p + r*l**2 + x*l**4 and give x.\nAnswer: -6060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/15*y**3 + 0*y + 0 + 2\/15*y**4 + 0*y**2 = 0. What is y?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 142.7439 millilitres?\nAnswer: 0.1427439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -268, -735, -1542, -2689, -4176, -6003?\n\"Answer: -170*r**2 + 43*r - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from rxrrrrxxxx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 9 + 10 + 2042*p.\nAnswer: 2042*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*f - 195, 0 = i - 0*f - 4*f - 90. What is the remainder when 417 is divided by i?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820209751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1\/5 (c) 0.3 (d) 2168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*v - 9. Solve -7 - 5 = v*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + ((-8)\/20)\/((-12)\/156). Factor r + 8\/5*u + 2\/5*u**2.\nAnswer: 2*(u + 1)*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.17*-17\nAnswer: -2.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26 times 5.41\nAnswer: 140.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 - 5*l**2 - 8*l + 3. Does 22 divide j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143 + 244. Let m = 107 - i. What is the nearest to 1 in 1\/7, m, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 11*a + 49. Let k be o(-7). Let c = k + 79. Solve -c*i + 1 = -3*n + 3*i, n + 3 = 3*i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, -2, -4, -6, -8?\n\"Answer: -2*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 12:38 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33*27\/(-396) + 142\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -44 and 67.26117407.\nAnswer: 23.26117407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 7*u + 7*u. Let c(l) = 5*l. Calculate t(c(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -12.6. Let n = 2.4 + u. Let t = 1396 - 1396.5. Put -1, 0.3, n, t in descending order.\nAnswer: n, 0.3, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(1\/6))\/b)\/(b\/(b\/(b**6\/b))))\/(b**(2\/3))**(-1\/21) assuming b is positive.\nAnswer: b**(-647\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3981.932 millilitres to litres.\nAnswer: 3.981932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 1. What is v(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -o - 89, -5*o = 3*s - 980 + 540 + 537 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3071869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -853*t**9\/252 + 352*t**5\/5 + 2769*t**2. Find the third derivative of k(j) wrt j.\nAnswer: -204720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7885440 and 3072?\nAnswer: 63083520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 9. Let n = 1 - -7. Let j(k) = k**3 - 7*k**2 - 6*k + 1. What is the remainder when j(n) is divided by a(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/1 + (-3)\/(-3). Suppose 0 + p = -2*r. Is r at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16667?\nAnswer: 7, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212 + 122\/((-8662)\/(-8733)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3 - 9. Let w be -2 + 0\/(-1) - a. Let r(s) = 2*s**3 - 3*s**3 + 0*s**3 - 5*s**2 - s + 4. What is r(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 - -44) + -3 + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p - 6. Let o be r(-5). Suppose o*a = 4*z + 100, 3*z + a = -a - 50. What is the units digit of z\/15*(0 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185411 bigger than 185408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(300))\/sqrt(5))\/sqrt(10))\/((sqrt(162)*3 + sqrt(162))*6).\nAnswer: sqrt(3)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13100112 + 3?\nAnswer: -13100103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-40))\/(4\/24*(-5)\/25)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - l + 28 = -5*l, 4*u + 3*l + 47 = 0. Let s(a) = -a**2 + 7*a + 2. Let f be s(7). Let d be (-3)\/(f\/(u\/(-6))). Sort -5, d, 5 in ascending order.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 11 - (2 + -1 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64.2 - 64. What is the nearest to -1 in w, -4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34\/5 in 0.5, -2\/9, 5, 0.09?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53494*j**2*p**2 + 3681*j**2 - 89*j*p**2 - 2*j - 109*p**2 - 93 wrt j.\nAnswer: 106988*p**2 + 7362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69305.99999857108 - -69306. What is o rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82988752 rounded to the nearest 100000?\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = x + 4*m - 4, 5*m = 15. Let d(k) = -k**2 - 7*k + 5. List the prime factors of d(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1144? (a) 0.1 (b) 2\/7 (c) -1148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -182, -290, -318, -260, -110, 138, 490, 952?\n\"Answer: h**3 + 34*h**2 - 217*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 6:40 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*l**4 + 23076*l**3 + 773*l**2 + 172*l?\nAnswer: 264*l + 138456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 at least as big as -4568928.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-150)*10)\/(-1))\/(7\/315)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*p + 4*h, -963320*h + 963319*h = p + 8 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18223431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 64 (c) 2.518 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3738\/89)\/630*5\/(-6)*10\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -413, -632, -851, -1070, -1289, -1508?\n\"Answer: -219*t - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 6. Let l be o(-5). Let t(m) = 10*m - 14*m - 3*m - 7*m. Give t(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 71098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (126\/(-84))\/(6\/(-128)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 13 + 0 = 4*s, 21 = 3*s + 3*g. Suppose 2*v = -s*v + 16. Let x be (-4)\/42*(v - 11). Is 22 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1827251282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*w**3 + 56933*n*w**2 + 3*n - 528562*w**3 wrt n.\nAnswer: w**3 + 56933*w**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84*b*h*r + 2*b*h + 6161*b*r**3 + 3*h*r**2 + 8 wrt r?\nAnswer: 36966*b*r + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-17)\/2)\/(6\/(-12)). Suppose -y*c + 10*c + 11977 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p + 11\/4*p**2 - 3\/4*p**3 + 1.\nAnswer: -(p - 2)*(p - 1)*(3*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1738 and -31\/158.\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -122946, -122798, -122646, -122490, -122330?\n\"Answer: 2*t**2 + 142*t - 123090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h - 28. Let f be n(-6). Solve -5 = 5*o - b, 3*o - 4 = -0*b + f*b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -45. Solve f = u - 3*p - 6, 5*u - 10 = 5*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 4, a: 6, n: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 10*r**2 + r - 1. What is d(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((105\/10)\/(-7))\/((-9)\/12756). Let a(x) = 2*x - x + h - 2123 - 2*x. Let m(z) = z. Let o be m(2). Calculate a(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 413*p - 818*p + 402*p + 6. Let x(a) = 5*a - 11. What is 7*b(l) + 4*x(l)?\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5769.\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2344 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 159?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 399968051 to the power of 1\/2, to the nearest integer?\nAnswer: 19999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 4. Let k = 104\/11 - o. Let b = 7628 - 15255\/2. Does b = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13166 and 4031?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 312430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1427510871?\nAnswer: 3, 101, 174491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 7:48 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**4\/6 + z**3\/6 + z**2\/2 - z. Let q be c(-1). Let t(n) = n**2 - q*n + 2*n + 4. Determine t(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from uued.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/(-88)*(-62271)\/37740.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from {y: 8, h: 1, e: 1, r: 1, a: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27781*i**3 + 27100*i**3 - 54886*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 14928?\nAnswer: 44784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27986919*u**5 + 25141*u**2 + 8*u - 15.\nAnswer: 1679215140*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 238318 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2)*1*-2. Let d(w) be the second derivative of 2*w**5\/5 - w**4\/12 - 13*w. Give d(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110110001 (base 2) to base 8\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 109*l**8\/56 + l**4\/6 + 18*l - 1. What is the third derivative of r(i) wrt i?\nAnswer: 13080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 34. What is the least common multiple of g and 42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 174.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -502077 - -94390185\/188. Let g = l - -14\/47. Let p = -4 + -1. Which is the third smallest value? (a) g (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*n = -106 + 365. Suppose -26 = -l + 9. What is the highest common factor of l and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*q**3 - 36*q**3 - 61*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 131397564 + -0.02\nAnswer: 131397563.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - k - 9, t + 4*k - 6 = -0*t. Let a(z) = 3 + 0*z + t*z**2 + z - 2*z + 4*z. Let p(l) = 2*l**2 + 2*l + 2. Determine -2*a(c) + 3*p(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4778.\nAnswer: 2, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 4*x - 8. Let p(a) = -a**2 + 6*a - 2. Calculate the smallest common multiple of v(-4) and p(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - -3573655.9738265.\nAnswer: 3573663.9738265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*w**3 - 7*w**2 - 143*w - 79*w + 216*w - 112*w wrt w?\nAnswer: 42*w - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 18559728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 651*n + 643*n - 1303*n.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 84*w**3 + 2*w**2 - 4.\nAnswer: -84*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 22, 1.\nAnswer: 0, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-105)*65\/(-39)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3538618 + 2?\nAnswer: 0.6461382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -31, -129, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -5. Suppose 2*n = -n - 5*r + 23, 0 = 5*n + d*r - 35. Suppose -3*s = -n*s - 3. Let c(a) = -1. Let i(u) = -2*u - 12. What is s*i(h) + 12*c(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by -7786.\nAnswer: 111\/7786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -70*k - 4. Let p(x) = 69*x + 5. Let t(w) = -6*m(w) - 5*p(w). Let b(g) = g**2. Calculate b(t(q)).\nAnswer: 5625*q**2 - 150*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 4, m: 1, k: 10, j: 1}. Give prob of sequence hd.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 247.197 to 0 decimal places.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l - 10. Let g(y) = -8*y - 2 - 3 + 5*y. Let k(x) = -13*g(x) + 6*t(x). Suppose -15*s - 23 = -2*c - 10*s, -5*c = -s - 23. Give k(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34218 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -73 - -7ad6e?\nAnswer: 7acfb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*4\/10 - -34. Suppose 6*v + 6*v - h = 0. Let x be -1 + 2 + -1 - -2*v. Solve -5*n = -x - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-2 + (-10)\/(-4)). Suppose s = -4*q + 8*q. Suppose 7*w - w = q. Solve x + w*x + 5 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 0*d + 6*d)*(3311*d - 8741 + 8741 + 673*d).\nAnswer: 7968*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 44. Solve g = -d + 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-5) - (-66)\/(-176)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 25*h + 134. Let q = -122 + 255. Calculate the remainder when q is divided by d(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -19, -34, -51?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -433 divided by 433\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**3 - i**2 - 30657*i + 122590. What is y(4)?\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-651)\/(-3410)*22 - (-3 - (-3 + -5))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111, -164, -215, -264, -311, -356?\n\"Answer: p**2 - 56*p - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*z + 1326 - 306. Suppose -3*v + z = -q, 39 = 2*v + q - 13. Let h = 13 + -4. What is the remainder when v is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*4 + 4 + 5 + -5. Suppose -o = -5*z + z. Solve -4*f - 3*h + 6 = 0, 3*f - 10 = -2*f - z*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by 26.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00179744 to five dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39\/(0 + -3 - -4) and ((-117)\/1)\/(12\/(3 - 15)).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -3 (b) 3 (c) 401 (d) 5 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.03 (c) -1 (d) -5 (e) 117 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14968\/29 or 517?\nAnswer: 517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 465, 1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -18709.5219 to the nearest ten.\nAnswer: -18710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14131, 28243, 42267, 56155, 69859, 83331, 96523, 109387?\nAnswer: 121875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t + 1602 = 7188. Calculate the highest common factor of t and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9775362 divided by 6\nAnswer: -1629227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 3 - 11. Solve 2*q + 9 = -p, 2*p = a*q - 2*p - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*l = -6042, 32*l + 4 = 30*l. What are the prime factors of t?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 1:35 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/15 + -1 + (-2)\/3. Let r = -890 - -2103. Suppose -k + r = 3*w - 1449, p = 5*k - 5. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7672*q**5 + q**3 - 2*q**2 + 3536*q wrt q.\nAnswer: -153440*q**3 + 6*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + (3 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 11270.62188 microseconds?\nAnswer: 0.0000000186352875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23805290 rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f. Let l be p(-1). Suppose -3*y = -0*y. Let h be -1*1*(-16 + y). Calculate the highest common divisor of h and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.5, -0.0295, -0.1, 0.4, 2\/39, 0.888?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452158 is divided by 130?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, h: 1}. What is prob of sequence ff?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*o - 11. Let w(v) = -v. Let j be w(o). Let h = -1 + j. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Let d be (25\/200)\/(1\/(-2)). Sort k, -3, 0.2, d.\nAnswer: -3, d, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, 5, -6\/449, -4?\nAnswer: -6\/449","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 - -1. Let l = 54197.2 + -54197. Which is the nearest to g? (a) -0.3 (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 253\/3 - 84. Let 0 + 1\/3*i - l*i**4 - i**2 + i**3 = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -1. Let l be (-2)\/9*-3*3. Let a(i) = -i. Let x(w) be the third derivative of w**5\/30 + w**4\/12 + 19*w**2 - 244*w - 5. Determine b*x(t) + l*a(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.32 in -5\/6, 0.2, 0.1, -0.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 + p**2 - p**2 + 4*p**3 + 0*p**3 - 2*p**3 + (1 + 3 - 3)*(-p + p + p**3) - 3571*p**3 + 3564*p**3 + 602*p**2 + 258*p**2.\nAnswer: -5*p**3 + 860*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**2 + 9*v + 1. Let d(q) = 5*q**2 + 10*q + 1. Let b(u) = -5*d(u) + 4*i(u). Let o be b(-4). Let j = 46 - o. Which is bigger: 25\/3 or j?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 747 (b) 0.08 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 0 - (-5 - -6). Suppose 18 = 3*y + f, 3*y - 4*f - 18 = -i*y. Let u(o) = o**3 - 7*o**2 + 19*o + 8. What are the prime factors of u(y)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2310 divided by 154?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -7 - (3 - (1 + 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1. Suppose 0 = 331*x - 328*x - 21. Suppose l = -5*v + 83 + x. 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 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 14\/99595 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/3 + 50246*y**3 + 1507214*y**2\/3 + 854074*y + 1205744\/3 = 0. What is y?\nAnswer: -75359, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*v - 10, 3*k - 2 = k + v. Suppose k + 14 = 4*i. Let c(b) = -b**3 + 6*b**2 - 5*b - 2. Give c(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 3\/8, 21, -1, 4.8, 2\/9?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3685 divided by -11\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s - 15 = -3*u, -5*u = s + 3. Let l = s + -10. Let w = 50 - l. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398418 (base 10) in base 11?\nAnswer: 252379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1188 and 88?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 10237518*k\/7 - 2925004\/7.\nAnswer: -2*(k - 731251)*(7*k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 + 62. What is the smallest common multiple of 10 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1722, -3430, -5150, -6888, -8650, -10442, -12270, -14140?\n\"Answer: -s**3 - 1701*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -107, -430, -983, -1778, -2827, -4142?\n\"Answer: -2*c**3 - 103*c**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2435 is divided by 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17497842343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117*s**2 - s - 2*s**4 + 3*s**3 - 3 - 117*s**2 to b*s**2 + h*s**3 + t*s**4 + u + o*s and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -367082 + 3?\nAnswer: -36707b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**1*n)**(5\/8)*(n\/n**(-1\/5))\/n**(-2))**(-12))**(-1\/20) assuming n is positive.\nAnswer: n**(267\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12309, -12310, -12311, -12312, -12313, -12314?\n\"Answer: -r - 12308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076 - 3\/2*3*32\/(-48) is divided by (-2)\/6 - 910\/(-39).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 divided by 53?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -35*d + 132. Suppose 0*a - 14*a = 182. What are the prime factors of f(a)?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 8*w - 16 = 6*w, -2*x + 4*w = 32 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 - 217 = -164*q + 147*q + 516 for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -16, 34, 114, 230, 388, 594, 854?\nAnswer: 1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 + 7*u**2 - 5*u - 3. What is x(3)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63768327?\nAnswer: 3, 7, 449, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a meter in centimeters?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92312?\nAnswer: 2, 11, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -8*m - 106. Let z be s(-24). Let j be 174\/(14\/(56\/8)). Is z >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*g**2 - 4*g + 5*g - g.\nAnswer: 37*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4948 - 4818. Solve 27*g - g = -a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*g = 67*g + 3*u - 46128, 3*u = 3*g - 69222. What are the prime factors of g?\nAnswer: 2, 3, 5, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.8 and -242.\nAnswer: -242.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) + 107\/4. Suppose -2*v - 3*h = 1, 3*v + h - i = 6*h. Solve 5*p - 3*p + x = -11, 0 = -4*p + v*x - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjhrluhlllh. Give prob of sequence hr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 61398604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18011559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43371 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 0*v + 2*v + (-3*v + 0*v + 5*v)*(1 - 2 - 1).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15860122 by -7930061.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.583 + 0.983. Let w = -9 + 7. What is the nearest to -2\/11 in -0.3, t, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4852977\/610 + 9\/30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 125488028 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + o + 9, i - 24 = -4*i + 4*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(28)\/sqrt(4)) - (sqrt(20) - sqrt(2420)*-1))\/(-2*(sqrt(16)\/sqrt(4) + sqrt(4)) - (sqrt(4) + -5*sqrt(64))).\nAnswer: -11*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69962386?\nAnswer: 2, 13, 313, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/5)*m**(-16)*(m\/(m*m**(-3\/8)*m))**(-33) assuming m is positive.\nAnswer: m**(169\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*g - 0*g - 2*n - 297 + 267, 0 = 5*g + 4*n + 31 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 8*y**2 + 16*y. Calculate i(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/(-3))\/((-6)\/34 - (-33436)\/65586).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -7*j**3 + 286*j**2 + 22*j + 774. Calculate a(41).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -86461\/3 at most as big as -28820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 134523. Let t(n) = -78*n**2. Give q(t(b)).\nAnswer: 78*b**2 + 134523","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 12:03 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Suppose 4*s + 0*k + 3*k = 43566, -3*s + 2*k + 32666 = 0. Is t + (s\/8 - (-6)\/(-24)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 2:50 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.17511 millimeters in micrometers?\nAnswer: 69175.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 + 44*b**3\/3 - 32*b**2\/3 - 16*b\/3.\nAnswer: -4*b*(b - 2)**2*(3*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31289335, 3, -5 in increasing order.\nAnswer: -31289335, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a - 1. What is u(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-489)\/(-99) + (-78)\/(-1287))\/(-2 - -1). Let d be (0\/(-3 - -5))\/1. Put d, t, 3, 8 in descending order.\nAnswer: 8, 3, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(2)*3 - sqrt(2880)*-1)\/((sqrt(576) + (sqrt(576) - (sqrt(576) - sqrt(576)*-2)))*-5).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4 - 4 - m + 1 + 0*m. Let g be r(-3). Let y(l) = -2*l**2 + 4*l + 41. Let w be y(5). Solve g*n - 3 = -w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {y: 5, w: 2, k: 3, p: 3, l: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -1\/150*r**5 + 1\/30*r**4 + 0*r - 1\/15*r**3 - 20*r**2 + 0. Factor m(w).\nAnswer: -2*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 2. Let i be r(0). Suppose -i*b + 367 + 842 = f, -9 = -3*f. What are the prime factors of b?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 3*h + 5. Let t be y(-2). Suppose t*o = -4*o + 14. Suppose -o*v = -12 - 32. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 678 times 0.05\nAnswer: 33.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q - 1. Let l be x(1). Solve p - l = 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29123652 and 389.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a. Let q(w) = -20876249*w. Determine s(q(d)).\nAnswer: 62628747*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20178 and 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_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: What is next in -604, -631, -660, -691?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoyooy. Give prob of picking 3 y.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 10:40 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 16 - 12*t**2 + 16. Let f(o) = -2*o**2 + 0*o**2 - o**2 + 4*o**2. Determine n(f(u)).\nAnswer: -12*u**4 + u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1150 and 2385.\nAnswer: -2742750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2888 - -2906. Let a(w) be the third derivative of w**5\/12 - w**4\/12 - w**3 - w**2. What is the remainder when a(3) is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/1 - 2\/((-54)\/(-141)). Which is the second biggest value? (a) -2\/7 (b) -1130 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -152 (b) 2\/13 (c) -2 (d) 4\/3 (e) -2588\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 28*j - 58. Let n be y(31). Let m be ((-126)\/n)\/(88\/(-20) + 4). Solve m*f - 13*f - 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 178656.93 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 1 - 3. Suppose 25 = 37*r - 42*r. Suppose v + v = 4. Put 4, v, d, r in increasing order.\nAnswer: r, d, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2213 (base 4) to base 6.\nAnswer: -435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 758.648453 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 (base 7) in base 16?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/((-315)\/153) + 10 + 99.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 - 3*g**2 - 2*g - 3. Let h be u(-3). Calculate the highest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -15*o + 1. What is n(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 5\/9, 0.2, 1, -7, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = q + 8. Let u be (-220)\/418*-19 + -8. Solve -u*n + 21 = -4*z + z, 5*n + q*z = 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z. Let n(d) = -427963937*d. Give n(o(f)).\nAnswer: -855927874*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853418983 is divided by 766.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - (5 + (0 - -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1988*i**2 + 184. Let m(b) = 2981*b**2 + 277. Let q(x) = 5*m(x) - 8*s(x). What is the first derivative of q(o) wrt o?\nAnswer: -1998*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/18)\/((-1)\/3). Let j(z) = -3*z - 1. Give j(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1022 divide 9734550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/515891 or -1?\nAnswer: 2\/515891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2110 is divided by 192?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7565197 divided by -9\nAnswer: -7565197\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**21*(d\/(d*d*d\/(d*d**(3\/7)*d)))\/d*(d*d**10*d*d*d)**(7\/2) assuming d is positive.\nAnswer: d**(199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.051044 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/253 and -13\/161.\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29359, -58693, -88037, -117391, -146755, -176129, -205513?\nAnswer: -234907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2775966 weeks in microseconds?\nAnswer: 167890423680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*g - 2*y + 12, -5*g + 15 = -3*y. Suppose g = 5*f - 5*x - 37, -4*f + 5*x + 32 = 0. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2 = -12. Let x(q) = -1 + 808*q**2 - 809*q**z + 9*q - 6. Determine x(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - n + 148 = n, 5*f = -n + 704. Suppose -5*y = -0*y - f. What is y rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -0.09, 5, -21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 12:47 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*h + 0 + (-6 + 5 - 1)*(-3*h + 5*h + 0*h) + 2 + h - 2 - 4 - h + 4 + 0*h + 3*h - 2*h - 5*h - 2*h + 3*h + 129*h - 12 + 90 - 81.\nAnswer: 120*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d - 25. Put d, 1\/2, -2 in descending order.\nAnswer: 1\/2, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 5, -u + 1 = -4*a. Let b(g) = 3*g - a + 1. Let l(c) = -3*c - 2. Let q(z) = z + 1. Let f(x) = l(x) + 2*q(x). Calculate b(f(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a minute in seconds?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -1, 0, 23 in decreasing order.\nAnswer: 23, 0, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**3 + 17*t**3 - 1 - 1866*t + 1.\nAnswer: 2*t**3 - 1866*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 11*j**2 - 8*j - 8. Let u be -2 - (-36)\/4 - -1. Let a be (-54)\/(-10) - (-2)\/(-5). Let m(p) = -7*p**2 + 5*p + 5. Give a*b(z) + u*m(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - s - 816000, -3*s - 272000 = j + s. Round j to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 o when three letters picked without replacement from {c: 5, x: 1, v: 1, a: 2, o: 2, y: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -215400717 take away 0.803?\nAnswer: -215400717.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61640?\nAnswer: 2, 5, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkfffffffkf. Give prob of picking 2 f and 1 k.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2 + 4, -14 = 2*y + 4*o. Let z = -30 + -4. Which is the smallest value? (a) z (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2763 + 2763.5. What is the closest to 68 in 0.3, -3, 2\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*y - 46*y + 30*y**2 + 83*y in the form t + o*y**2 + k*y and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**3*x**3 + 15216*m**3*x**2 - 561*m*x**2 + 40252560*x**5 wrt x?\nAnswer: -18*m**3 + 2415153600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w - 14. What is the smallest common multiple of 27 and n(-8)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27 * -21046.\nAnswer: -5682.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107552 and 2176.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 8*y**2 + y - 1. Let a be b(8). Suppose s - 5*m = a + 5, 4*s - 2*m = -6. Let n = s - -14. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 79057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 11*q - 8. Let j be i(6). Suppose -5*w = -5*b + 15, 2*w + 3*w + 9 = 3*b. Suppose w = -l - 0 + 2. What is the highest common factor of l and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 4 - 16. Let w = -3 - -8. Suppose -w*a + m*o + 545 = 0, -2*a - 3*o + 339 = a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 8590.\nAnswer: -60130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 + x**2 + x + 1. Let r(l) = l**3 - l**2 - l + 1. Calculate -j(p) - r(p).\nAnswer: -3*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -271*l**5\/20 + 253*l**4\/12 - 7*l**2 - 47*l. What is the second derivative of s(k) wrt k?\nAnswer: -1626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 5*m - 3. Let h be k(-8). Let w = -12 + h. Solve w = -2*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/9)\/((-2)\/(-3)). Let r be 0\/(-4 - -2 - g). Suppose r = -m - 2*z - 1, -2*z - 6 = -0*z. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 148*a**2 - 9060172*a + 3428152.\nAnswer: 4*(a - 61217)*(37*a - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, z: 6}. Give prob of picking 1 y and 3 z.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 + 765*n**2 - 448581*n - 2085. What is r(-702)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3165 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -4*(sqrt(77) + sqrt(77)*-2 + sqrt(77) - sqrt(77)) - sqrt(77))\/sqrt(11).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 0*a + 74803*a**2 - 74683*a**2.\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 535 - 516. Suppose s + 4*s = -15. Calculate the remainder when r is divided by 0 + s + 11 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*u - 10*u - 25*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-22)*8\/(-3). Let f(j) = 24 - 18 + j + j**2 + j**3 + 5*j**2. Let t be f(-6). Is t equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 11:01 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 66449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 459.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 242156 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4543 - 2*s**2 - 220 - 164.\nAnswer: -2*s**2 + 4159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 >= -120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + (sqrt(17) - (sqrt(17) + -2)))*-1)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 1110*u - 8944.\nAnswer: (u - 8)*(u + 1118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-18)*(-978)\/(-4). Let u = -188 + 230. Let o = m - u. 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 the remainder when 4838 is divided by 4825?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -67*q**2 - 27*q - 51. Let y(f) = 27*f**2 + 13*f + 26. Let h(c) = -2*p(c) - 5*y(c). Give h(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6318361 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 4*w = -2*i + 8, -3*i + 5*w = 0. Let u = -5 + i. Is 15 a factor of (-304)\/(-10) - u\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1910 by 191.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 2. Let f(p) = 3*p - 34. Let j be f(26). Suppose -4 = -m - 0. Let v be 1\/m + (-143)\/j. Give w(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3 + 864*p**2 - 1731*p + 866 = 0. Calculate p.\nAnswer: -866, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 5*v - 17, 2*v = -l - 2*v - 7. Let o = 2 - l. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khkukkmuahuhutkakk. Give prob of sequence km.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 6:37 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8548 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/40 + 2\/8. Let p = -0.13 + 0.03. Which is the closest to k? (a) -5 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2280\/(-84))\/19)\/((-10)\/28).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15 + (-2)\/(1 - -1). Suppose 7*h + 140 = 4*i + 3*h, -h = -4*i + 155. What is the first derivative of -i + 67 - 39 + d*g wrt g?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 248 and 2542?\nAnswer: 10168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x + 7. Let t(z) = -8*z - 8. Let y(a) = 7*g(a) + 6*t(a). Calculate y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*f + 10. Let v be 332\/14 - 2\/(-7). Let u = v - f. What is the greatest common factor of 12 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*y - 101, 7*h = -3*y + 3*h + 116. What is the remainder when 81 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 774 and 688?\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618975?\nAnswer: 3, 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -8. Let x be o\/7 - 84\/49. Let l be x\/(-9) + 80\/45. Solve -a + l = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4581 - -4546. Sort b, 0.08, 1, 3 in decreasing order.\nAnswer: 3, 1, 0.08, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*f + 106*f = 24 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**2 - 2*n + 1. Let i be j(1). Let p(w) = 23*w**2 + 34*w + 122. Let h be p(-5). Suppose -i*c = -h - 453. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*n + 4*i - 8, 0 = -n - 4*i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29559\/20 - -5961\/4. Find the common denominator of (-318*(-3)\/48)\/((-3)\/4) and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 5*r - 10. Let f = -93163 - -93168. Solve 0 = r*w - 10 + 4, -3*w = 4*s - f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9579 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v - 18. Let i = -5394 - -5392. Give r(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13471472, -13471464, -13471446, -13471412, -13471356, -13471272, -13471154?\nAnswer: -13470996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -580 times -1.1?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3814*s**4 - 9*s**2 - 126794 wrt s?\nAnswer: -15256*s**3 - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7014 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010011010000 (base 2) to base 15.\nAnswer: -18a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 227007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3464 - 38*z**2 + 42*z**2 - 1731 + 29*z**3 - 1733.\nAnswer: 29*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-18)\/(-21) - (23199\/308)\/3 and 97\/890.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.030757*-238.\nAnswer: -7.320166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 8*g + 2. What are the prime factors of q(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5092078568?\nAnswer: 2, 103, 6179707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = -15. Let q(h) = -14*h + 1 + 7*h + 3*h + 3*h. Let f be q(-8). Calculate the highest common factor of j and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 5 (c) 97 (d) -1802\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 492*c**3 - 572*c**2 + 202*c - 32. Let f(a) = 197*a**3 - 229*a**2 + 81*a - 13. Let x(u) = 5*d(u) - 12*f(u). Let x(z) = 0. Calculate z.\nAnswer: 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from rzszzzrszrzrrrrrzzr.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**3 - u**2 + 2*u - 2. Let h(n) = -16*n**3 - 5*n**2 + 11*n - 11. Let s = 14 + 8. Determine s*c(j) - 4*h(j).\nAnswer: -2*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/(-63) - 30\/315\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -4, 29 in descending order.\nAnswer: 58, 29, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from kvhhv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -m - 0*m - 5*o, 3*m = 4*o - 47. Let z = -8 - m. Suppose 4*s - 7*f + 2*f - 53 = 0, -5*s + z*f + 60 = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101 + 34. Let x = m + 67.00025. Round x to 5 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) 0.17 (c) -30368\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 1732*y\/3 - 40988080.\nAnswer: 2*(y - 7420)*(y + 8286)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Let c = 37147 + -37146.94. Put 2\/9, 2, c, x in increasing order.\nAnswer: x, c, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 144 + -9. Let m = -134 + o. Is (m\/(-3))\/(1\/(-993)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144\/400*30\/(-18)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (289 - 1722 - 640 - 1278)*(-1 - u**2 + 1) in the form c*u**2 + t*u + d and give c.\nAnswer: 3351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 4*o**2 - 50*o + 167. Give v(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-159) + 162648\/(-240408).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/1 + (-2 - (-305)\/60). Let s(t) be the third derivative of 4*t**2 + 1\/120*t**6 + u*t**4 + 0*t + 1\/6*t**3 + 0 + 0*t**5. Give s(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(3) - (sqrt(300) + 6*sqrt(300) - sqrt(3))).\nAnswer: -sqrt(13)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(-4 + (sqrt(288) + -2)**2).\nAnswer: -48*sqrt(2) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f - 2 + 2)*(128*f**2 - 644*f**2 - 490*f**2) to the form d*f + r*f**2 + w*f**3 + b and give w.\nAnswer: 2012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4729747 to the power of 1\/2, to the nearest integer?\nAnswer: 2175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8076*n**3 - 46 - 2688*n**3 - 116 - 2693*n**3 - 2693*n**3.\nAnswer: 2*n**3 - 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -65800 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3286 and 6014?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 2 - 0)*5. Suppose -10 = -19*z + 14*z. Solve 0*j - 14 = 3*j + 5*m, j = -z*m - v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 441273 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-3*(-2)\/(-6) - 2). Let q(i) = -i**2 + 1. Let c(x) = -7*x - 1. Calculate d*c(a) + q(a).\nAnswer: -a**2 - 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1736, -1740, -1748, -1760?\nAnswer: -1776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + 140 = 44 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 2*l - 2. Suppose 2*f = -3*o + 3, 2*o + 2*o - 11 = -5*f. Suppose -f*z = -r + 12, -5*z + 1 - 13 = r. Let c be t(z). Which is smaller: 11 or c?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 - (-1 + (-6395)\/(-14)). Let g = -37831\/84 - l. Calculate the common denominator of -25\/24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*6*-2*sqrt(102)*-6)\/(sqrt(36)\/sqrt(6)*-4 + -3*sqrt(18)\/sqrt(3))*-5)**2.\nAnswer: 2203200\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1017 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) 0.04 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -5\/2*p**2 + 0 + 5\/6*p**3 + 7*p. Let i be c(5). Solve 5*b = -0 - i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-23)\/(-1))\/((7 - 5) + -7). Sort 1, -2\/9, s, -0.5 in increasing order.\nAnswer: s, -0.5, -2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 - 3*w - 3. Let u(m) = m**2 + m + 1. Let s be (-4)\/18 + 620\/(-45). Calculate s*u(v) - 4*b(v).\nAnswer: 2*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-50) + 94\/10. Suppose -z = -1, 5*p - 135 = 4*z + 176. What is the highest common factor of p and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*y + 5*k - 2, 28*y - 26*y - k = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15827, 15824, 15823, 15824, 15827?\nAnswer: 15832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 566?\nAnswer: 5660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 4:56 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7482082 is divided by 115.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -0.1, 4, 862?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*b - 433 = 1156 + 373 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 + 2\/(-8). Let u be -2 - (4 - (4 - 2)). Let l(z) = -2*z - 5. Let p be l(u). Solve -p*k = -v - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10}. Give prob of picking 2 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + sqrt(847) + -3 + sqrt(847))**2 - (5 + -1 + sqrt(847) + 2).\nAnswer: -539*sqrt(7) + 3526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 11*f**2 + 5. Calculate t(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118515 + 17336. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 658790 and 132?\nAnswer: 3952740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114\/(-532))\/((-3)\/(-4)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 75 - 168. What is the highest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129, -27, -5, -200, 3, 4, 1 in descending order.\nAnswer: 4, 3, 1, -5, -27, -129, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n**2 + 618*n + 3229. What is q(108)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9590 - a + 9581 + 9593 + 9573 - 38337.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*h - 1173. Let t = -113 + 78. Let f = -14 - t. Calculate the highest common divisor of f and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2772.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 0, 2*c - r = c + 8. Suppose -3*x - g + 13 = 0, -g - 3*g = 5*x - 17. Solve x*k - 3*p - 17 = 0, -2*p - 2*p + c = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190 divided by -4412\nAnswer: 95\/2206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1733, 22.\nAnswer: -1733, 11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853 is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*u = 68800000, 51600000 = 3*t - 36*u + 40*u. Round t to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*j + 6*j - 15, 2*j - 4 = -4*n. Suppose j*p - 218 = 42. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -146023?\nAnswer: -146020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 9696*s**2 + 194445*s - 1214500.\nAnswer: -(s - 9716)*(s - 5)*(s + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-21)*-2)\/1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from taaeqaataaqagageg?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32345549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15350553 is divided by 1649.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -375 - -372. Which is the biggest value? (a) x (b) -4 (c) -2 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 6*m**2 + 66*m - 119. Let s be u(11). Suppose -4*q + 12 = t - 2*t, -q = -5*t + 16. Solve -q*p - 2 - s = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19 and -9539.077.\nAnswer: -9558.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 1. Let g(y) = 9*y. Let o(i) be the second derivative of 75*i**3\/2 - i. Let z(p) = u*o(p) - 99*g(p). Let c(m) = -2*m. What is z(c(x))?\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from avaavlytlatttvvlvt.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -27*g**3 + 7*g - 7. Let i(v) = -13*v**3 + 3*v - 3. Calculate -7*i(c) + 3*z(c).\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(209)*-4 + sqrt(209) - sqrt(209))\/sqrt(11))**2 + -1*-4*sqrt(1900).\nAnswer: 40*sqrt(19) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 6, 0 = 5*w - 5*y - 8 - 2. Let z(p) = 9*p - 4*p + 0 - 2 - w*p. Let o be z(9). Calculate the highest common divisor of o and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y - 6. Let d(a) = -a - 1. Let c be (2 + (-4 - -5))*(-1)\/3. Calculate c*o(w) + 5*d(w).\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 16*i - 21. Let y be d(-14). Suppose -2*r - 270 = -y*r. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1164 divided by 388.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 339507234 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8537514 to the power of 1\/2, to the nearest integer?\nAnswer: 2922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -2*y - m - 14, -4*m = -6*y - 34 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59\/5, -0.026, -0.3 in decreasing order.\nAnswer: 59\/5, -0.026, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.61167 to 2 decimal places.\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1154 in -0.5, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462 a factor of 2105398422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 18 = 36. Suppose 11 = 4*a - b. Solve 1 = 2*g + a*d, 5*g - d - 17 = d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 35*c + 448. Let r be m(-12). Suppose -3*j = 5*d - 15, 2*j + 37 - r = 3*d. Solve 38\/3*p**4 + j - 8\/3*p**2 + 0*p + 14\/3*p**5 + 16\/3*p**3 = 0 for p.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2906*g - 2889*g + 5915*g.\nAnswer: 120*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5911 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 8:19 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1120233 (base 5) to base 3\nAnswer: -1000112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 13*x**2 + 12*x + 1. Let o = -125 + 441. Let v be o\/(-26) + 2\/13. What is r(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2640 is divided by 1222.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 - 35 + a**2 + 2*a**2)*(-3 + 2 - 2 + (3 + 2 - 4)*(-3 + 0 + 1) + 1 - 1 + 2)*(-2*a - a + 4*a).\nAnswer: 6*a**3 + 105*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one quarters of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13 + 9.13. Let h = -8.87 + z. Let f = h - 0.1299991. Round f to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, 36, 79, 134, 207, 304, 431, 594?\n\"Answer: a**3 - 3*a**2 + 39*a - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d + 5*t = -35, -3*d + t = -13. Let g be (4\/d)\/(5\/360). Suppose 4*n + 2*n - g = 0. What is the greatest common divisor of 24 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5439\/9176 - (-2)\/(-4). Let w = m + 249\/31. Calculate the common denominator of -67\/20 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Suppose -5*g + 1 = -14. Suppose 15 = -0*a - g*a. Put w, -2, a in decreasing order.\nAnswer: w, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykxq when four letters picked without replacement from {y: 1, h: 5, q: 2, x: 3, k: 1, c: 1}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4279588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*272\/64 + 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 - -0.9. Let q = 16 - 6. Let m = 12 - q. What is the nearest to -2 in c, m, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 14*g + 2*r = -3740, -4*r - 3004 = -4*g. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 119*m + 123*m = 152, m = -2*l + 283. Calculate the highest common divisor of 15 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 11. Let p be u(-8). Suppose -3*o = p - 15. Let s = 13 - 5. Solve s = -4*b - l, -2*l + 20 = -o*b - 0*l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0936 - -0.0193. What is q rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107 - 127. Is (-3 - (-93)\/6)*(-72)\/k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(80) - -1*sqrt(80)*1)\/(((-3*sqrt(250) + sqrt(250) - sqrt(250)) + sqrt(250))*6).\nAnswer: -sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.81 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 + 20 - 15*g**2 + 20*g - 7*g**4 - 5*g**3 + 6*g**4 - 15*g**3.\nAnswer: -5*(g - 1)*(g + 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 43 (b) -0.3 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 + -90. Solve 5*y = -5*z + 3*y - m, -z - 4*y + 14 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 8 + 20)*(-j + j - j**3) in the form v*j**3 + h*j + w + g*j**2 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Let s be -2*(-1 + g) + 4. Let i(t) = 2*t**2 + 1. Let l(j) be the first derivative of 4*j**3\/3 - j**2\/2 + 2*j + 14. Give s*l(m) - 5*i(m).\nAnswer: -2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.2. Let n = 164 - 117. Let q = n + -52. Sort q, -4, m in ascending order.\nAnswer: q, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 4*o**2 + 5. Suppose 12 = -5*y + 2*y. Let h be p(y). Suppose -4*s = 5*c - 6*s - 91, h*s = c - 32. Solve -5*i = 2 - c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*r - 33, -3*j + 4*j - 12 = -2*r. Suppose 0 = v - j + 10. Suppose -3*x + 15 = 0, -2*t + v*x = x + 1595. What is t rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 8*r**2 + 12*r - 11. Let u be q(9). Suppose 0 = 2*m - 3*l - 12, -5*l - u = -m - 3. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1543722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8087, 4418, -5505, -24808, -56617, -104058, -170257, -258340?\nAnswer: -371433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2 + 10*p = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15511 + 5311 = -850*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -135*u**2 + 18*u - 5. Let n(z) = 67*z**2 - 9*z + 3. Let b(k) = 13*n(k) + 6*w(k). Find the second derivative of b(j) wrt j.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 25*n**3 + n**2 - n. Let t be d(1). Let f = -32 - -17. Let v = t + f. Calculate the greatest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - 15\/(-4))*-7388?\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 30*y**2 + 26*y + 8. Let g(f) = 21*f**2 + 27*f + 8. What is -3*g(v) + 2*o(v)?\nAnswer: -3*v**2 - 29*v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55544\/85 - 3182\/5. Which is bigger: q or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3 - 55 = 0. What is the remainder when 50 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-2)\/(-12)*-3). Suppose 0 = -2*t - 4*a + 18, z*t + a = t + 32. Is 12 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/10)\/(396\/(-90))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100837.181210628697 - -1.258791971303. Let j = u + -100841.44. Let b = j + 3. Round b to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suss when four letters picked without replacement from {u: 6, s: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 227*b**3*w**5 - 2*b**3*w - 6*b*w - w wrt w.\nAnswer: 4540*b**3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4400, -11219, -22584, -38495, -58952, -83955?\nAnswer: -113504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 293, -1\/3, -289?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-99 - 340 + 112)*(3*d**3 - 3*d**3 - d**3) as g + h*d + c*d**3 + n*d**2 and give c.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 428036 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -13. Let l(b) = -5*b - 1. Give l(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 1064\/(-114))*(-3 + 34\/11).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9941 at most as big as 9917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.08 (b) -2 (c) 12 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -61914631637.9?\nAnswer: 61914631638.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(2\/(-7) - 228\/(-1680)). Determine w so that -1373*w**2 + 690*w**2 + 687*w**2 - x*w = 0.\nAnswer: 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*((1*((sqrt(17) - (sqrt(17) - sqrt(204)\/sqrt(300))) + sqrt(17) + sqrt(17)) + -1)**2 + ((1 + sqrt(1700))**2 - sqrt(816)\/sqrt(3))).\nAnswer: 232*sqrt(17) + 178428\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977090841.\nAnswer: 3, 1459, 74411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-6)*g**6)\/(g**(-3\/5)*g*g*(g**(3\/2)\/g)\/g))\/((g**(5\/6)*g*g\/(g*g*g\/(g\/g**8)*g))\/(g*(g\/(g**(-7)*g))\/g*g**(-2)*g)) assuming g is positive.\nAnswer: g**(214\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*-2 + 9. Let q = y + -6. Sort -5, q, 2 in descending order.\nAnswer: q, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/150 and -19\/20.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45 + -5?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 664458 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(2 + 47)*-1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1274*r + 1698*r - 1037*r + 64.\nAnswer: 1935*r + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkh when three letters picked without replacement from {h: 3, q: 5, d: 7, k: 3, x: 1}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 1392*u**2 + 161472*u.\nAnswer: 3*u*(u - 232)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v. Let s(n) = -55*n**2 - 2. What is u(s(m))?\nAnswer: -55*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -25. Solve y - h = -2*h - 5, 3*h = 5*y - j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-6))\/g*g)\/g**(2\/7) assuming g is positive.\nAnswer: g**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(968)*-2*4 + 4 - (4 + sqrt(968)*2 - (sqrt(968) + 6*(1 + sqrt(968) - sqrt(968)) + sqrt(968))))**2.\nAnswer: -2112*sqrt(2) + 61988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h + 38. Let m be w(-11). Suppose -4*k - 2*q + 36 = 0, -4*k = -2*q + m*q - 38. What is the smallest common multiple of k and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92628533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + -10011011?\nAnswer: -10101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 2900466?\nAnswer: 2900466.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1108.9 + 1027. Let p = -82 - w. Which is the closest to 0.09? (a) 0 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 - -40. Let m = 1 + -1. Suppose m*r = -4*r + d. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25571*n**4 - 2527*n wrt n.\nAnswer: 306852*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 1. Let p(y) = 5*y - 4. Let j(w) = -4*i(w) + p(w). Let k(a) = -2*a + 2*a**2 + 2*a. Give k(j(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -808, -942, -1166, -1480, -1884, -2378?\nAnswer: -2962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 425\/(-136)*(-2)\/(-5)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6 - -1.4. Put v, 2, 0 in ascending order.\nAnswer: v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -691 = -13*g + 89. Suppose 39*u = g*u - 1197. Calculate the remainder when u is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 11 = 4*q, 27*q - 1 = 29*q - p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*a**2 - a - 2*a - a + 3*a + 3*a - 6*a.\nAnswer: -68*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 105619 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: Solve -23 + 8 = 5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62714739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 116580000 rounded to the nearest one million?\nAnswer: 117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/(3\/25)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11601 - -11604. Solve 3 = -4*f + i*n, -5*f + 3*n - 5*n - 21 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -159 + 161. Let j = 11 + 3. What is the remainder when (27\/(-9))\/(6\/(-332)*f) is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -698.3 + 728. Round c to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 15 = -3*w + 3*i, w + 4*i + 9 = 0. Let d(z) = 3*z**2 + 3*z + 6. Let k be d(-2). What is the greatest common factor of k and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -325 and -0.0557.\nAnswer: -325.0557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 9:43 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**8\/1008 - s**7\/315 - 13*s**6\/360 - s**5\/18 - 412*s**2. Suppose g(v) = 0. Calculate v.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -757 - -1393. Let f = y + -632. Is 22 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30.841 + 58434995.83.\nAnswer: 58435026.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3 + 2 - 4 - 3*v**3. Let f = -2836 + 2835. What is k(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*l**2 + 5*l**2 - 5 + 4 - 1 to the form h + u*l + f*l**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/18*(-36)\/(-32).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**2 + 5*s + 14. Let z be r(8). Is -50671*(-2)\/2 + z\/55 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -886 - -940. What is the greatest common factor of 72 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -43*v**2. Let g(z) be the second derivative of z**3\/6 - 121*z**2\/2 - 1002*z + 1. Calculate g(u(k)).\nAnswer: -43*k**2 - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**4\/4 + 2*l**3\/3 - 2*l**2 - 1. Let d be z(-3). Factor -1 + 2 + d*y - y**2 - y**3 - 2*y.\nAnswer: -(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1605.36413 rounded to one decimal place?\nAnswer: -1605.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -10.9.\nAnswer: -76.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1424, 3124, 4782, 6362, 7828, 9144, 10274, 11182?\nAnswer: 11832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22 and 115350.\nAnswer: 115328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50307203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 806376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3. Let o = -1 + f. Which is the second smallest value? (a) o (b) 0 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1345 divided by -5\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) 0.1 (c) -73\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011258 divided by -374574?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krkk when four letters picked without replacement from {r: 2, k: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 2035326253?\nAnswer: 2035326250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -221, -135, -47, 43, 135?\n\"Answer: n**2 + 83*n - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 28028*h - 646760.\nAnswer: 4*(h - 23)*(h + 7030)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 197.8956 to one decimal place.\nAnswer: 197.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 2*x + 4*q, 3 = 4*x - 5*q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*x = -34, 12*h = 14*h + 4*x - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 267 = -5*a, 0*a + 65 = a + 5*z. Suppose f - 17 = -x, 4*x = 5*f + a + 4. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17010175*u**5 - 2*u**2 - 141585.\nAnswer: 1020610500*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/7 - 775*n**2\/7 + 21096*n - 1186164.\nAnswer: (n - 523)*(n - 126)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -4\/459?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23.994 + -501.736. What is x rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*s - 25, 2*h + 4*s = -174 + 190. Solve -30*v = -33*v - h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423, 857, 1349, 1887, 2459?\nAnswer: 3053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfapwaffpwxwwf. What is prob of picking 1 f and 1 a?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**5\/4 - a**3\/3 - a**2\/2 - 31*a - 7. What is u(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -944 and 0.18.\nAnswer: -169.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**6\/1140 + 8*i**5\/285 - 155*i**4\/228 + 46*i**3\/19 - 2*i**2 + 110. Factor f(h).\nAnswer: 2*(h - 6)*(h - 1)*(h + 23)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -9*r - 45. Let p(h) = -11*h + 99. Let d be p(7). Let k = d + r. Solve -2 = -3*u + k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*h + 3854, 4*q = 3*q + 4*h + 1258. Is 65 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {m: 1, q: 2, n: 1, s: 1, y: 1, b: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}