diff --git "a/data/dm_maths/full_data/1143_11255.jsonl" "b/data/dm_maths/full_data/1143_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1143_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor -3*w**2 + w**3 + 3 - 3*w**2 + 9*w - 2 - 5.\nAnswer: (w - 4)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b + 30. Let u be l(13). Let p = -3 + u. Is 28 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 2, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o = -2. Solve o = -v + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 318, -0.029, -5 in descending order.\nAnswer: 318, -0.029, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + -2)*1 - -13498. What is i rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37019, -73463, -109907, -146351, -182795, -219239?\n\"Answer: -36444*i - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q + 6. Let o(g) = 3*g - 7. Suppose 3*y + 2*y + 4*w = -1455, 0 = -3*y - 5*w - 886. Let n = -293 - y. Give n*x(u) - 5*o(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116521 or -6?\nAnswer: -116521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3454 + -48295\/14. What is the common denominator of o and -19\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 16 = 11. What is the common denominator of 24\/5 and -87*k\/40 + (-4)\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101 + 1111?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1166.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3628*t - 45658. What is k(-12)?\nAnswer: -2122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*4\/24 + (-45)\/(-36).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 537*p + 12314. Determine v(-23).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 66 + 18. Suppose -f*j + 3*j + 2*a = -89, 0 = 3*a + 6. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**3 - g**2. Let n be w(-1). Suppose d + n*c = 23, 13 = d + 4*c - 12. Suppose d = -x - 5*y, -y + 3 = -x - 2*x. Which is bigger: -3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1\/(-2)*14\/35) - 0. Solve 2*t - 7*u + 10*u = 15, y*u = -2*t + 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*25.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144585 to the power of 1\/2, to the nearest integer?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o. Let h(m) = -18*m - 88. Let l be h(-5). Let n(b) = b**2 + 3*b**2 - 3*b**2 - 3*b**l. Give i(n(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 11:48 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168 + 169. What is the second biggest value in r, 3, 0.1, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44003*0.1372\nAnswer: -6037.2116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/864*(-141939)\/(-52570).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12084 and 6897?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 7*k + 8. Let j be 0 - k*(-2)\/(-12). What is the second biggest value in -4, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34175, 34060, 33849, 33542, 33139?\n\"Answer: -48*w**2 + 29*w + 34194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-60)\/10)\/(1*2))\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 204.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 10:52 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2213610 is divided by 10541.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118916630 is divided by 512.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 44*w - 27*w + 74*w.\nAnswer: 3*w - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 - 8*v**2 + 9*v - 33. Let k(r) = 8*r**3 + 33*r**2 - 37*r + 133. Determine 4*k(w) + 17*t(w).\nAnswer: -2*w**3 - 4*w**2 + 5*w - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*v**2 - 207*v**2 + 113*v**2.\nAnswer: -207*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 4*t = -2*m + 124, -3*t - 93 = 3*m. Let f = -24 - m. Suppose -p + 1 = l, -2*l = -4*p + 21 + f. Solve -y = 5*o + 37 - 14, p*y - 4*o - 1 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 526 and 526 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 14*j**2 - 31*j - 20. Give l(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2304916 is divided by 192073?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1115878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 4:59 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -42. Which is smaller: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*1\/((-6)\/4). Let t be (w + 8)*6\/4. Find the second derivative of -a - 2*a**3 + 6*a**t + 0*a**3 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8389, -53665, -176559, -415879, -810433, -1399029, -2220475?\n\"Answer: -6468*y**3 - y**2 + 3*y - 1923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322619 (base 10) in base 15?\nAnswer: 658ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t = 41*t - 553. What is the remainder when 129 is divided by t?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -296015\/36351 + 2\/5193. Let l = 389\/28 + g. Calculate the common denominator of l and -95\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 11) to base 14\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*g + 650, -4*l - 4*g = -g - 2634. Suppose -l + 128 = -4*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29193 to 3 decimal places.\nAnswer: 0.292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 112*c**2 - 2*c + 45. What is y(-112)?\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-30)\/24) + -7. Let m be a + 1 + (-10)\/(-5). Solve 3*i + u - 9 = -0*i, m = -u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3339 less than -12511?\nAnswer: -12511.3339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-33)\/12)*12*19\/304.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/4 + i**3 + 15*i**2 - 37*i. Let r be g(-5). Calculate the highest common factor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -513 (b) -267\/2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*a - 9, 3*s - a = -3*a + 9. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from xbxoqumqxqm.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0568 < -10857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((978\/1467)\/(85\/(-3)))\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u. Let q(l) = -3*l. Let a(t) = 17*j(t) - 6*q(t). What is the units digit of a(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42786518221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10, e: 10}. Give prob of picking 4 u.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 174 = 10*a - c, 6*c = 2*a - 100. Suppose -n - 5*b + 39 = 0, b - 12 = -3*b. What is the least common multiple of n and a?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2698402\/9 or -299823?\nAnswer: -299823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -11. Let y = 13 - -64. What is the highest common factor of y and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/189 (b) -6\/3905 (c) 35 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzzzzzzzrrzrzz. What is prob of sequence zrz?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*d + 96*d = 20. Suppose -304 - 366 = -d*i. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 k, and 1 i when three letters picked without replacement from {p: 4, i: 2, n: 2, k: 3, h: 1, j: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 3*l**5\/20 - l**4\/6 + l**3\/6 - 15*l**2. Let t(h) = -8*h**2 + 3*h - 1. Let q = 1248 + -1254. Give q*t(i) - 5*y(i).\nAnswer: 3*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 185. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603.5260332 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 10 + 0*h**2 - 15*h**2 - 33*h + 5*h**3 - 34*h + 62*h + 5*h**4 = 0. What is h?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27528132 is divided by 2294009.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b**4 - 3*b**3 - 4. Let f(j) = -7*j**3 + 3*j**3 + 3*j**3. Let l(y) = -3*f(y) + k(y). Find the first derivative of l(c) wrt c.\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -40, -145, -354, -703, -1228, -1965?\nAnswer: -2950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -2. Let h = -350.121 + -0.879. Let t = h - -352. Put -0.4, 0, t, w in ascending order.\nAnswer: w, -0.4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*s, 581*v = 576*v + 3*s + 62. Suppose 830 = -3*i - 46. What is the remainder when i\/(-6) - (-6)\/(-9) is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01145453 rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c. Let v(i) = -5*i - 20 - 23 + 45 + 13*i. Calculate g(v(d)).\nAnswer: -16*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**4\/3 + 68*l**3\/3 - 290*l**2 - 2*l - 1540. Factor j(v).\nAnswer: -4*(v - 29)*(v - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) -0.05 (b) 0.2 (c) 1\/4 (d) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -254\nAnswer: -254.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 - (-7 + 5). Suppose -l*k = -0*k. Let o(u) be the third derivative of -u**4\/24 - 4*u**2. Determine o(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2.1, 0, -2\/63, -0.3, -23 in descending order.\nAnswer: 4, 0, -2\/63, -0.3, -2.1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by ((-637)\/(-13))\/(-7) - (1 - 25).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*7\/(-84))\/(2\/(-3)). Solve 0*r + 1\/4*r**2 - k*r**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 2. Let l be x(0). Suppose -5*r = -c + 11 + 12, 6 = -l*r. Solve -y + 3*p = -19, -4*y = -3*p - 23 - c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**9\/m)*m*m)**(-37)\/(m*m**(4\/15)*m\/m**(-1\/6)))**(-11) assuming m is positive.\nAnswer: m**(-48037\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 812790.9 grams in tonnes?\nAnswer: 0.8127909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061754498 to the power of 1\/2, to the nearest integer?\nAnswer: 32585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 21*a = 63*a - 1479 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 523 = -303. Let j = k - -120. Suppose 0*b + 2*b - 6 = 0. Solve -3*h - p + 5 = j*h, 0 = 3*h - 3*p - b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*q + 44*q = 330*q + 45595 for q.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 5, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgds. Give prob of picking 1 s, 2 g, and 1 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3157742, 6315486, 9473228, 12630968, 15788706, 18946442, 22104176?\n\"Answer: -k**2 + 3157747*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 180 + -185. Let p(h) = 9*h + 4. Let n(y) = 4*y + 2. Give c*n(g) + 2*p(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 3*a - 42 = 0. Does 16 divide 886\/14 - 4\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3929 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**3 - 4*g**2 - 35*g + 132. Let f be c(4). What is the greatest common factor of 105 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c4 (base 15) to base 4\nAnswer: -31123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (2 - (4 + -12)) + 1 - 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -420*h + 421*h. What is the least common multiple of 6 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 15*p**2 + 5*p - 2. What is the lowest common multiple of 27 and u(-2)?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**3 - 63. Let y(i) = -5*i**2 - i + 0*i**2 - 2*i**2 - 6*i**2. Calculate y(n(o)).\nAnswer: -117*o**4 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-11)\/(-22)*1\/2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqvvbivvqi. What is prob of sequence qb?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*-2)\/sqrt(3))\/(5*sqrt(54)) + -1.\nAnswer: -1 - 2*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-452)*(32\/(-27))\/((-9600)\/3600).\nAnswer: 2\/339","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19644 or 726822\/37?\nAnswer: 19644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-1 + 5))\/(-1). Suppose -19*f + 26*f - 28 = z. Solve -16*g + 20*g = -f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 137 = -151. Let f = r + -43. Suppose -3*q = 2*s - 1491, -s + f*s + 1010 = 2*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p - 18. Let t(r) = 5*r**2 - 6*r + 6. Let v(o) = -4*o**2 + 5*o - 5. Let q(a) = p*v(a) - 5*t(a). Let c(y) = -5*y. Give c(q(i)).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/8 + 156\/13 + -7.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -5, -1983567.\nAnswer: -1983567, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 9:17 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (604\/8)\/(5\/(-20)). Let u = -202 + a. Let x = 39 + u. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - (-25)\/35)\/((-5)\/(-35))*-6514.\nAnswer: 2, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 + -79. Let l = p - 106. What is the units digit of 6\/15 - l\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 6*z - 7. Let u(a) = a - 1. Let w(t) = -21*u(t) + 3*x(t). Suppose w(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17727 + -17726.99995392. What is o rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llsl when four letters picked without replacement from {s: 4, l: 15}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30842*s**2 - 15417*s**2 - 3*s + 3*s - 15422*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1, 5\/6, -4, -27, -5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.667356009 and -0.0525?\nAnswer: 3.614856009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(72)*2 + (-1*sqrt(72) + sqrt(72) + sqrt(72))*-4 + -2)**2*5.\nAnswer: -360*sqrt(2) + 1485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 - -2) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5bf (base 16) to base 7.\nAnswer: 4201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {x: 9, u: 7}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2. Let a(l) be the first derivative of 2*l**3\/3 + 2*l**2 + 3*l + 2. Let v be a(-2). Let q(j) = -v*j + j + 3*j. Give q(z(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*9*10\/630.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(5\/4)*q*q**(-13))\/(q**(6\/11)\/(q*(q\/((q**(10\/13)*q*q)\/q))\/q)) assuming q is positive.\nAnswer: q**(-5757\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1920) + (sqrt(1920) + -4*sqrt(1920) - sqrt(1920) - sqrt(1920)) - sqrt(30)) + sqrt(30))\/(sqrt(6) + sqrt(30)\/sqrt(45)).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*y = 3589, -2581 = -5*u + 3*y + 1023. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6457823577?\nAnswer: 3, 79726217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 - 76.087. Let h = 0.05905 + 3.75395. Let z = h - x. Round z to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 527039100 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 1. Let r(k) = -30*k - 4. Determine 4*h(j) - r(j).\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001928320205 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 110590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-300)\/(-55)*1344\/480. What is the closest to 0 in t, 0.3, -0.5, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42845 + -42841. Suppose 4*p - 38 = -2. Suppose 0*j + p = j. What is the remainder when j is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-126)\/105)\/(3\/(-80)). Solve -w*s + 7*s = 25 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and -7.6.\nAnswer: 159.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 0.0292708.\nAnswer: 0.000585416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (0 - 24) + (-26 - 5 - 2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304224 is divided by 12104?\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -10*u - 57. Calculate the least common multiple of 14 and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(112) - sqrt(112)) + -3)**2 + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101 (base 2) to base 15.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 80 (b) 40 (c) -0.9 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195232, 394389, 593546, 792703, 991860, 1191017?\nAnswer: 1390174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*j - 26*j + 28*j + (-4 - 3*j + 4)*(-4 - 8 - 4).\nAnswer: 70*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 168190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(38\/380)\/(2\/(-92)*1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(60\/(-10))*(-6)\/(-8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, -0.4, -4\/7?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - -76. Suppose w = -3*t + 2*t. List the prime factors of ((-22)\/(-4))\/((-14)\/t).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 328 and 246?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 64217.\nAnswer: 4\/64217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/30 and -101\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.433597ml in litres?\nAnswer: 0.000433597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + h + 350 = -4*h, -h + 1295 = 4*w. List the prime factors of w.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 295900.\nAnswer: 3\/59180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-15)\/25*-5. Sort a, 4, -5 in ascending order.\nAnswer: -5, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -60*r**3 - r - 2. Let q be f(-1). Differentiate -38*i**4 - 113 - q*i**4 - 84 with respect to i.\nAnswer: -388*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/5 - 272*l\/5 - 112.\nAnswer: 4*(l - 70)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73570 is divided by 157?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12113 - 1659 = 366*c + 185 + 6539 for c.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60539 - 60537. Let z = 8 - 4. Which is the second smallest value? (a) z (b) -1\/4 (c) -1.3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920237623 to the power of 1\/3, to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 107 and 10.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 0) + (0 - -2). Let t = 5 - p. Let n(r) = r**3 + r**2 - r + 2. Let l be n(0). Solve -l = t*m - 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 14*u**3 + 11*u**2 - 28*u - 20. Let z(i) = -5*i**3 - 4*i**2 + 9*i + 7. Determine -6*l(q) - 17*z(q).\nAnswer: q**3 + 2*q**2 + 15*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 31*(41\/(-205))\/(1\/(-15)). Solve -88*q - 15 = -o*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 84*l + 8025. Determine h(-102).\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.6 + 16.4. Let l = h + -1. Let x = -13.4 + l. What is x rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*35*(-11)\/(-1540)*(-1)\/3*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 22*a + 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k - 6*k + 33*k + 29*k to t*k + i and give t.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 0 + 9\/2*w**2 - 27\/2*w + 3\/2*w**4 + 15\/2*w**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 + 1154251?\nAnswer: 1154239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4016.2 - 4016. Sort 5, l, 4, 3, 30 in ascending order.\nAnswer: l, 3, 4, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + k + 1. Suppose 3*b + 5*x = 209, -4*b + x + 188 = -106. Let w = -73 + b. What is p(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2859699510 and -0.9?\nAnswer: 2859699509.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1782 + 564. Let d = 1846 + r. Calculate the least common multiple of (-26)\/169 + d\/26 and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 12 + 18)*(r**5 + 2*r**5 + 0*r**5).\nAnswer: 51*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -263 in increasing order.\nAnswer: -263, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + -0.3. Let x be 54\/9 - (3 + 1). Which is the closest to -2? (a) f (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1945*19785\nAnswer: 23633.1825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*j - 44, -18 = 3*z - 3*j - 78. Let a(q) = q + 30. Let g be a(0). Suppose 2*d + 3*d = g. What is the lowest common multiple of d and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001836156377 to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515*n = 339*n - 2088505678. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/1103 (b) 1\/5 (c) 0.3 (d) 1 (e) -5\/3 (f) 1\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/((-2)\/(-12)). Suppose -10*n - 12 = 8. Let j be (4 - (20\/6 - n))*-3. Solve -5*b = l*v - 12 - 1, -2*v = j*b - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004094797 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = -12*o + 5 - 21 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15421 + 15418. What is the nearest to 1 in 0.46, -3\/4, y, -3\/5?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from {c: 1, l: 1, b: 5, w: 1, y: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3431*z + 29*z**3 + 2*z**2 + 43*z**3 + 25*z**3 + 3431*z.\nAnswer: 97*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -54. Let i = x - 39. Let t = 222 - 2884\/13. Which is the nearest to 0.1? (a) 5 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -5 (c) -2\/7 (d) -32 (e) 83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1375285.\nAnswer: 5, 23, 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 51 = -r + 5*a, -4*a - 60 = -4*r. Suppose m - r = -8. Suppose 4*x = 5*l + 62, 2*x - 16 = m*l + 12. Solve -x = -3*q + 5*n, 3*q + 1 = q - n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -15. Suppose -30 = -8*h + k*h. Suppose -15*f = -27*f + 48. Sort h, f, 0, -5 in ascending order.\nAnswer: -5, 0, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, t: 7}. Give prob of picking 1 q and 1 t.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvvvvvvvtttt. Give prob of picking 2 v and 2 t.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72221?\nAnswer: 72221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 1 - 7 = 0. Let d be (1 + 4)\/1 + g. Suppose -3*w + 2*s + 6 = -5, -d*w + s + 7 = 0. Solve 3*n - 4 = -w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000022243 to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/27 and 91\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -8*s + 6. Let j = 26 - 8. Let l(y) = -10*y - 5*y + j - 7. Let x(p) = 11*i(p) - 6*l(p). Let n(k) = -k**2. Calculate n(x(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62651.88 + -62643.279858. Let f = 8.6 - n. What is f rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 10:31 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -6.1. Let g = -1.86 - -5.06. Let t = g - 2.7. Sort t, 1\/3, -18, f in decreasing order.\nAnswer: t, 1\/3, f, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/4 of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 663380 and 5740.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 2, 174295.\nAnswer: 1\/8, 2, 174295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/65, 0, -4, -3, -0.9, -1 in descending order.\nAnswer: 2\/65, 0, -0.9, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15210717 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 + 0.08703045?\nAnswer: 1030.08703045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by -5.\nAnswer: 63\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 5*c**4\/24 + 515*c**3\/4 + 1535*c**2\/2 + 13*c - 67. Factor r(n).\nAnswer: 5*(n + 2)*(n + 307)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1597 + 1590 = -5*u - 4*g, 0 = -19*u - 4*g + 49 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 + 14. Let k be g(0). Calculate the highest common factor of 77 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/8 - 2*3653\/(-104). Calculate the remainder when 110 - l - (-1 + 0) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*i**4 + 4*i**4 + i**2 + 5*i + 8*i + 2*i wrt i.\nAnswer: 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 827616*s + 5793459.\nAnswer: -3*(s - 7)*(s + 275879)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 4*l - 50647 - 179369, l - 287516 = -5*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/6)\/((-10)\/(-12)). Suppose -i*o = -0*o - 54. Solve o = -0*d + 3*d - 3*c, 2*d + 3*c = -7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*p + 12*p - 224. Suppose -p*n = 22 - 54. Calculate the smallest common multiple of 1\/(-2 + (-65)\/(-32)) and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**3*t - 49690111*n**3 + 12*n**2 - 4902679*n*t wrt n?\nAnswer: 6*t - 298140666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10188?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.013, -29289 in decreasing order.\nAnswer: 0.013, -0.1, -29289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 208064 = -452198. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146654337 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3202333 - -113?\nAnswer: 3203112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 14 = -4*w, 3*z + 5*w = -z + 2. Solve 2*u + 4*f = 0, u = -u + z*f - 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.8 - -4. Let s = f - -1. Let l = s - 0.3. What is the third biggest value in l, 4, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**5\/60 - j**4\/24 + j**3\/2 + 4*j**2. What is the remainder when 57 is divided by f(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243845974 by 2246.\nAnswer: -108569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.09, -40, 1, 0, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**4\/12 + 9*i**2. Let h(p) = 8*p. What is h(k(a))?\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -29. Let y be 8\/12 + (-1)\/(-3). What is the closest to l in 2\/5, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*n + 246*n + 248*n = 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(112\/(-14))*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 5) to base 8\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(7\/((-42)\/(-30)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 909215096 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3)*177\/(-6) - -1. Let o be (-2)\/n*(8 - 4). Suppose -4*f + 6 = 2*t - 12, 9 = -4*t + f. Is o bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -185 + 182. Let s = 49 + -933\/19. Let p = 2 + -1. What is the third smallest value in s, -2, p, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/((d\/(d*d\/(d\/(d\/((d*d**(1\/2)*d)\/d)))*d))\/d)))\/(((d\/(d\/(d*d**(-8))*d*d*d))\/d)\/d))**(-11))**(-1\/57) assuming d is positive.\nAnswer: d**(77\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/5 - 3\/15. Suppose -y + 20 = m. Let t = -5 - -7. Calculate the highest common divisor of t and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -39, -72, -105, -138, -171, -204?\n\"Answer: -33*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 26 = -9*a. Let i = a - 19. Let x(g) = 11*g**2 - 6*g - 17. Let b(r) = 4*r**2 - 2*r - 6. Suppose 43 + 8 = 3*q. Give i*x(o) + q*b(o).\nAnswer: 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10367\/5 - 2080. Find the common denominator of j and 46\/8 - 1\/(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0153 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2120 (base 3) in base 4?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2*v + 86, 0 = s + 2*v - 4*v - 43. Suppose 0 = -10*g + 235 + 335. Suppose -g*p = -56*p - 169. Calculate the remainder when p is divided by s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 115*i**3 + 2*i**2 + 4*i + 3. Let f be z(-1). Let m = -73 - f. Calculate the remainder when 120 is divided by m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1652)\/6 - -2)*13761\/(-45870).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(192) - sqrt(3)) + -1) + sqrt(27)\/(sqrt(576)*-4))**2.\nAnswer: -4035*sqrt(3)\/8 + 5463939\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378*x = -379*x + 636. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 316*l**2. Let v(j) = 326*j. What is v(g(o))?\nAnswer: 103016*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 998202*n**3 + 166065875682*n**2 - 9208740269653022*n - 55258420205056908.\nAnswer: 2*(n - 166369)**3*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(3) + 4 + -4)**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5*q + 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 596984837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggg. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.057154 rounded to two dps?\nAnswer: -4.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 102?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19 + 4 + -19 - (-2)\/(-1). Solve -i + s*i = 2*u + 4, 0 = -u - 5*i + 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 343 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -144\/5? (a) -8\/9 (b) 0.2 (c) 3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 20*d. What is the least common multiple of o(1) and ((-2)\/4)\/((-3)\/108)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -17*l - 43. Let m be f(-3). Solve -m*j = -2*j + 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1555 not equal to 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 99924.04 centuries?\nAnswer: 9992404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 19180289.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m + 5. Let h(u) = -2*u - 5. Let o(r) = 6*b(r) + 7*h(r). Let i be o(-3). Is 1 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32438070?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or 126260?\nAnswer: 126260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 283207555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 33, 2\/11.\nAnswer: 2\/11, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -354.65 - 0.35. Let l = -344 - i. Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 531 = -3*z, z - 4*p + 8*p = 174. Let k = 382 - z. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**4 + 752*v**3 - 36812*v**2 + 137632*v - 101568 = 0.\nAnswer: 1, 3, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13098704 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: Simplify (d\/((d\/(d\/d**26*d))\/d)*d**(-4\/9))\/((d**3*d)\/d)**37 assuming d is positive.\nAnswer: d**(-1210\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 20 = -j, 2*j - b + 10 = -3*b. Solve 4*z - s - 11 = z, j = 2*z + s + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d - d**2)*(-4*d + 5*d - 2*d) + 3941*d**3 - 1360*d**3 + 4776*d**3.\nAnswer: 7358*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 - d?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.96 + -0.04. Let d = j - -6. Let r = -6 + d. Which is the closest to r? (a) 2\/21 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/84 in 1522, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51870 and 302886220?\nAnswer: 908658660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -16.848, 0.2 in increasing order.\nAnswer: -16.848, -1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**5\/60 - s**4\/6 + s**3\/3 + s**2 - 40. Let o be 0*(1 + 0) - -4. Let n be t(o). Solve 3*m - 17 = 4*x, -3 = n*x + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13468331 and 3445387?\nAnswer: 148151641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*a + l + 33, -3*a + 46 = 2*l. Let z(h) = 5*h + 28. Is 9 a factor of z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664084 is divided by 1416?\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19671194 divided by 2?\nAnswer: 9835597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -675, -2699, -6073, -10797?\n\"Answer: -675*x**2 + x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/8, -509629, -2, -0.02 in descending order.\nAnswer: 1\/8, -0.02, -1, -2, -509629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - b. Let k be f(-2). Let y be (0 - 1)\/((-2)\/k). Solve y*x = -2*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 70\/(-5) + 2*-1. Let f = o - -15. Which is greater: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**3 - 4*t**2 - 6*t - 5. Calculate b(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -98, -210, -388, -644, -990, -1438, -2000?\nAnswer: -2688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -4, 2, 0.5, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -23.6. Which is the nearest to 0? (a) 2\/9 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, y: 8}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 41?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q. Let u be v(2). Suppose 4*w - o - 2 = 3, w = 5*o - 13. Let x be 1 + (3 - w\/u). Solve i + 2*i = x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3111901379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 960?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -596 + 2948. Calculate the highest common divisor of d and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 bigger than 791887\/1487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 5) to base 8.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -4, 144, 2, 1 in decreasing order.\nAnswer: 144, 2, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + s + 7, -3*k - 252 = s - 257 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (-39)\/12)\/((-3)\/(-12)). What is the greatest common divisor of i and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155 and 898411.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3494815l in millilitres?\nAnswer: 349.4815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 23947.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2275902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 6:05 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 17, 28, 43, 62?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n**2 - 6*n - 1. Let d be x(-3). Let b = d - -24. Solve 0*o - 15 = -b*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - f - 5. Let a = 0 - 0. Let p be j(a). Let l = p - -15. Calculate the remainder when 18 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 1. Let n be -2 + 7 + (-4 - t). Let q(f) = -f**2 + 31*f + 32. Let j be q(32). Solve j = d + n*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1327.794 and -0.3?\nAnswer: 1327.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:15 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 3. Let l(b) = 4*b - 11. Let m(f) = -9*f + 21. Let d(g) = 5*l(g) + 2*m(g). Let k(h) be the first derivative of d(h). Give 4*k(s) + 3*t(s).\nAnswer: 3*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - 100001001111001000010111?\nAnswer: -100001001111001000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -0.6, 2\/3, -2, 154, -11\/2?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6992 + -181717\/26. Find the common denominator of (-9)\/6 - 119\/12 and z.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 - -0.01. Let v = 0.13 - j. Let k = v + -0.20000075. What is k rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 112 - 155 + 649 + 0*w**3.\nAnswer: 2*w**3 + 606","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.112 minus 935561.9?\nAnswer: -935562.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k*m**3 - k*m**2 - k*m*z + 19*k*z - 3*m**3*z - 1354*m**3 wrt z?\nAnswer: -k*m + 19*k - 3*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -269*i**5\/20 - i**4\/4 + 9*i**2\/2 + 2*i + 89. Find the third derivative of u(b) wrt b.\nAnswer: -1614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841432?\nAnswer: 2, 17, 23, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 2, c: 1, w: 1, b: 1, i: 1}. What is prob of picking 1 i, 1 b, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - l = 2*x + 6, 4*x + 2*l + 28 = 0. Let g be (-2)\/4*x*1. Suppose g*c - 288000 = 8*c. Round c to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -943 (base 16) to base 9\nAnswer: -3224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.184 rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (346\/12975)\/((-4)\/(-5))\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) 3 (c) 7 (d) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 0.58 (c) -57 (d) -0.4 (e) 0.4 (f) 4 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91563340*v**3 + 104390374*v.\nAnswer: 549380040*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18385693\/120 - -153213. Find the common denominator of b and -33\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -221, -223, -227, -233, -241, -251?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/((-3)\/54). Let v be 2\/k - (-50)\/18. Let d = 202 - 187. Calculate the greatest common divisor of v and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 141 (b) 8 (c) -2\/7 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10343784 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 12:18 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/1)\/((-12)\/(-8) + -4 + 2). Solve 50 = -x*w + 10*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 2*s + 16. Calculate the remainder when m(5) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/35))**(-1\/11)*(d**(-31))**(-50))**(-36) assuming d is positive.\nAnswer: d**(-21483108\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 245406 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-19)\/((-3135)\/(-44))*(-7)\/(112\/(-18))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/20 - 1)*-5. Suppose 0 = 2*t - 3*p - 36, 2*p - 3*p = g. Find the third derivative of 4*d**3 + 4*d**2 + 0*d**2 + t*d**2 - 10*d**2 wrt d.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.006, 3\/7, 2\/21, -6?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/636880 and -39\/175142.\nAnswer: 7005680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express q - 1 + 0 + q + 29 as i*q + u and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -772 divided by 157.\nAnswer: -772\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -18898800 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7955877.\nAnswer: 3, 2651959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/32)\/(-1))\/(3\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -0.8. Let t = -17432 + 17434. Which is the third biggest value? (a) -2\/13 (b) u (c) t (d) -5.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1032 + 2?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -51 and -53 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50100\/17237 + 4\/1567. Find the common denominator of z and 22\/23.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times 3454.7\nAnswer: 3109.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*t**3*z - 4*t**2*z + 3*t*z + 29*z wrt t.\nAnswer: -12*t**2*z - 8*t*z + 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39024*c - 490 + 78047*c - 39020*c)*(2*c + 0 + 0) to the form a*c**2 + v + l*c and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4929448 and 52?\nAnswer: 64082824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 l when three letters picked without replacement from kkkkxyyll.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 47*l - 2878. Calculate h(72).\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-361120)\/(-61) - (2 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**3\/5 + 13188698*g**2\/5 + 5275478*g + 13188694\/5 = 0.\nAnswer: -6594347, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 255 = -55. Let c be 10\/4*(-96)\/k. Suppose 5*u - 4*m = 16, -u - 1 = -2*u + 3*m. Is u smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/56)\/((-7)\/(245\/10))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-5*k + 2*k + 2*k) + 0*k - 2*k + 3*k + k + 2 - 2 - 2*k + 2 - 2 + 0 + k + 0 + 221*k + 133*k + 926*k.\nAnswer: 1282*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30\/102879119 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72885 and 45765.\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*r - 3*r + 9, -2*l + 3*r = 2. Calculate the highest common divisor of 65 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) -6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1332 - 1332.000007482. Round p to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 37 - 9. Let o(k) = y*k - 6*k - 26*k. Let s(m) be the first derivative of -m**2\/2 - 14780. What is o(s(w))?\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*t**4 - 5*t*y**2 + 4*y**2 + 7*y wrt t?\nAnswer: -24*t**3 - 5*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 divided by 84?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 31*t + 17. Let n be h(15). Solve -10 = -0*s - n*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 3*n**7\/14 + 13*n**6\/8 + 29*n**5\/6 + 15*n**4\/2 + 20*n**3\/3 + 2*n**2 + 24*n. Suppose x(z) = 0. What is z?\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from ywwyeyeymyemywmew.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -120?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0\/(-1))*1. Calculate the common denominator of -34\/11 and (-3)\/117*(-142 - o).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4 + 42*h**3 + 756*h**2 - 7080*h - 16800 = 0. Calculate h.\nAnswer: -14, -2, 10, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -441, -163, 297, 939, 1763, 2769?\n\"Answer: 91*a**2 + 5*a - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 1497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*v**4 + 10*v**4 - 7*v**4)*(-10 + 0 + 61)*(-1 + v + 1).\nAnswer: 969*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-22)\/4*1. Suppose -4*m + 12 = -o, 0 - 2 = 3*m + 2*o. Let c be ((-6)\/(-2))\/(m - 3). What is the third smallest value in c, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -199997030 by 99998515.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -1\/3, 0, -7\/3, 1020?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (10 - 3 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 3, a: 5, x: 6, l: 1, t: 1}. What is prob of picking 1 v and 1 t?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4 = h, 4*h - 1 = -3*q - 8. Let g be q*2\/(-2)*-1. Is (-955)\/g*2\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/14*((-222)\/90 + 2). Let c = -21.89 + 20.99. Sort z, c, -3\/5.\nAnswer: c, -3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 + 55*m + 74. Let h be y(-26). Let r be ((-2)\/(h + 8))\/(2\/(-316)). Which is bigger: 76 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559 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: Is 1335925741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13896 (base 10) to base 11\nAnswer: -a493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 48*a - 156. Give o(-51).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/128 and -127\/335472?\nAnswer: 2683776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*p - 34 = -0*p, 4*p = -4. Does 6 divide -1*(1 - 2)*f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -5*q + h, -5*h = 481*q - 480*q + 21 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -94*t + 1421. Let r be u(15). Let f(w) = 25*w**2 - 11*w - 4. Let j(b) = -13*b**2 + 6*b + 2. Calculate r*j(q) + 6*f(q).\nAnswer: 7*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195\/(-507)*(-91)\/(-14).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11496 and 3318.\nAnswer: 6357288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 50443.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4196, 0.3, 2\/7 in descending order.\nAnswer: 4196, 0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 6:19 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133 + 209. Suppose -8*b + o + 52 = 0. Calculate the smallest common multiple of 1 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n + 2*n**2 - 3*n + (2*n - n + 0*n)*(-3*n + 2*n + 2*n) - 4*n**2 - 8*n + 8*n + (2*n - 2 + 2)*(n - n - 2*n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**4\/6 + 9*w**3\/2 - 2*w**2 - 17*w. Let o be a(13). Differentiate 31 - 19*x**4 - o - 3*x**4 with respect to x.\nAnswer: -88*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 14 = 5*s, 33*s - 30*s = 5*l + 18 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oono when four letters picked without replacement from mooonoooooo.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18609688 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 118288631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-6)*1\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 379 and -0.2?\nAnswer: 379.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972*g + 1045*g - 584 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19101?\nAnswer: 3, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -4595665790879?\nAnswer: 4595665790876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 5*w**2 + 2*w - 3. Determine g(7).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -121990000 rounded to the nearest 1000000?\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 38 = -126. Let z = w - -44. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36259151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b - 6*b. Suppose 0 = 2*w - b*j + 4*j + 8, 0 = 2*j + 8. Let d be w\/(-22) - 490\/(-154). Solve -z + d = -0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 22*i**2 + 5*i + 18. Let n be z(14). Round n to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 227475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123 and 822634291?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 2\/5, 65.5, -1\/4, 2703, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*q**4 - 885*q**3 - 351*q**2 - 35*q.\nAnswer: -q*(q + 35)*(5*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -57*u**2 + 121*u - 9. Calculate t(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13771 - -13776. Calculate the lowest common multiple of x and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536.81832 milliseconds in days?\nAnswer: 0.000006213175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*d + 6, -1 = -2*d + 1. Suppose 2*j - 19 = -x*n + 33, 3*j - 46 = 2*n. Calculate the remainder when 52 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/40)*s**(6\/13) assuming s is positive.\nAnswer: s**(227\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0879954 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -47. Suppose p + 7 = j, 3*p + p + 3*j = 0. Let o = p + 3. Solve -r + u = -o*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 4. Let m be l(3). Let o be (m\/10)\/((-1)\/2). Let y be (0 + o)*459000\/(-9). What is y rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -10 - (-4 - -2) - 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 11 - 19 - 9*b**3 - b**2 - 3*b - 3 + 2*b to q + z*b**3 + a*b + t*b**2 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgf. Give prob of picking 2 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from sosbszszsoozoblzbszo?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -20. Find the third derivative of -1006*s**3 - 13*s**6 + 1006*s**3 - v*s**2 wrt s.\nAnswer: -1560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40*(-2)\/((1*-3)\/((4182\/68)\/41))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 67, 103, 139, 175?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - k = 12, 3*d + 12 = 2*d + 5*k. Suppose -2*g + 3*g = d. Suppose g*p - 33 = v + 2*v, -25 = -5*v. Solve -p = -m - 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 + (0 - 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -180?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 + 2844\/(-24)*8\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**3*p*z - 20196*c**3*p + 77*c**3*z - c**2*p*z + 2*c**2*p + c*p*z - 401*c - 29*p wrt c?\nAnswer: 18*p*z - 121176*p + 462*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27911.90515 and -0.09?\nAnswer: 27911.99515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 8*u + 16. Suppose n = -4, 3*p + 12 = -5*n + u. What is the remainder when 10 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**15)\/((w\/(w\/(((w\/w**(14\/5))\/w*w*w)\/w)))\/w))\/(w**(2\/77)*w*w*w\/(w\/w**38)) assuming w is positive.\nAnswer: w**(-8172\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**4\/4 + 5*j**3\/2 + 9*j**2 - j + 18. Factor k(w).\nAnswer: 3*(w + 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -34 (b) 125 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -13 - 31)*(-34)\/4. What is the highest common divisor of g and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 4*z**2 - 4*z + 5. Let v = -20 + 23. Suppose 0*c + 5*c - 119 = -3*t, -v*c = 5*t - 209. Suppose 0 = g + 38 - t. Determine x(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47409 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 - -2) - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 12:52 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6936819 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/6510 and -26\/13035.\nAnswer: 5657190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 2*f**2 - 2. Let w be d(-2). Let a = 5 + w. What is the third derivative of -b**5 - b**2 + 0*b**3 + 0*b**a - 3*b**5 wrt b?\nAnswer: -240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -245 + 2787?\nAnswer: 2542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5390 and 6860?\nAnswer: 75460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32\/3 in 11, 0.3, 5, -26?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 328 and 64?\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 140\/(-32) - (-18)\/(-48). Let k be (-80)\/12*6\/(-4). Solve 0 = -w - 3*r + 2, -v*w + k = r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/11 - 190996*q**3\/11 + 414539454*q**2 + 763984*q\/11 - 18239736008\/11 = 0. Calculate q.\nAnswer: -2, 2, 47749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -165822564202 take away 2?\nAnswer: -165822564204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*k**3*s**3 - 17*k**3*s**2 - 89*k**3*s + 3895*k**2*s**2 - k**2 + 3*k*s**3 wrt k?\nAnswer: -156*s**3 - 102*s**2 - 534*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1864651495 to the nearest integer?\nAnswer: 43182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1282*j + 2461. Determine u(2).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(10\/(-2)*(-6)\/3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from wwmwmvm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-264)\/14 + -1 + (-1891)\/13237.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.4, -0.593, -1 in ascending order.\nAnswer: -1, -0.593, -1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**3\/6 + 3*b**2\/2 - 15*b. Let o be j(-2). Is (3 + -20)*118\/(-1 - o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 62*a - 2830. Let b be p(47). Let x(z) = -z**2 - 10*z. Let i be x(-7). What is the greatest common divisor of b and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from ppllplpppppplpppppp.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 2\/13, -22, -6, -12, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -4*f**6\/15 + f**5\/10 - 5*f + 1. Let z(d) be the first derivative of w(d). Factor z(y).\nAnswer: -2*y**3*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 875 * 167\nAnswer: 146125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s. Suppose -5*v - 9*v = -196. Let y(z) = v*z - z - 42*z. Calculate y(g(u)).\nAnswer: 58*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9571047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 86762\/(-710)*25\/(-65)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 2*n + 2*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 7*o + 5*o**3 - 25 - 3*o**3 + 5*o**3 in the form j*o**3 + t*o + m + d*o**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 14) to base 11.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2573630 and 10.\nAnswer: 2573630","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -423.23 + 422. Which is bigger: b or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 377 = -297 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 9 - 31*z + 13 - 101*z)*(-9 - 5 + 3).\nAnswer: 1452*z + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbd when three letters picked without replacement from bdnbdnnndndd?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = -0*z. Suppose -z*d = -111 - 72. Suppose -d - 9 = -2*q. Solve 25 = 3*f - 4*w + 6*w, -5*w = 2*f - q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 531851, 531973, 532095, 532217, 532339, 532461?\nAnswer: 532583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -8.97. Let w = -0.036 - p. Let x = w + 0.0659971. What is x rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25954, -25990, -26026, -26062?\n\"Answer: -36*f - 25918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 361*g**2\/9 - 304*g\/3 + 64.\nAnswer: (19*g - 24)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 4586.\nAnswer: 3\/2293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 1055 - 630. Let y = -48 - d. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 4. Let t(x) = -8*x + 15. Let h be t(6). Let r be 26\/42 - (-11)\/h. Which is the second smallest value? (a) p (b) r (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihhhhihhhhzhiihzzhhh. Give prob of picking 1 h, 2 z, and 1 i.\nAnswer: 52\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 225*o. Let s(m) = 458106*m. Calculate s(a(l)).\nAnswer: 103073850*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 3:44 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*d - 1371*d - 44745 - 13874 = 12661 for d.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*c**2 + 294*c**2 - 104*c**2)*(-3*c**2 + 0*c**2 + 5*c**2) - 4 + c**4 + 4 to a*c**2 + l*c**4 + k + s*c**3 + u*c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 340*q**2 + 4*q + 5. Let n(p) = 3*p**2 + 62*p - 22. Let t be n(-21). Is l(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -23. Suppose -5*g + 0*f + 5 = -f, 0 = -u*g + 2*f - 6. Solve 0 = s + 5*i + 1 - g, 0 = 5*s - 5*i + 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.40256 - 5.52109. Let i = q - -22.523. Let y = -2.4 - i. What is y rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343139.8cm in meters?\nAnswer: 3431.398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.46+-47.1817\nAnswer: -47.6417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (-35 + 197 - 133).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/18 (b) -0.4 (c) 2 (d) -3 (e) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4950527293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*j**3*p**2 - 2*j**2*p**2 + 32109*j**2*p - j*p**2 + 23*j*p - 41380*p**2 - 5 wrt j?\nAnswer: -54*j*p**2 - 4*p**2 + 64218*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) 0.88 (c) 4 (d) 0.0077 (e) -4 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**5 + 15*l**4\/4 - 5*l**3\/3 - 15*l**2\/2 + 44. Factor m(d).\nAnswer: 5*d*(d - 1)*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4297374992.0648869 + 4297374621. Let g = a + 369.5449. Let n = g + 1.52. What is n rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**5 - 10*j**4.\nAnswer: 5*j**4*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1, -4, 0.2, -37, 2\/3 in decreasing order.\nAnswer: 2\/3, 2\/7, 0.2, -1, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/((-9078)\/(-445)))\/((2\/(-16))\/(-1))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -999 divided by -630.\nAnswer: 111\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(245) - (sqrt(245) + -4)) + 3)**2*1 + 5.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1847416 * -0.054\nAnswer: -99760.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 335*p + 10744. Give c(36).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wnywnwyy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49991016 a multiple of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4099537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28688 + -10987. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -186046 not equal to -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -46*6\/(-48)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**4\/5 + m**3\/5 - 15*m**2 + 143*m\/5 - 14 = 0.\nAnswer: -10, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31031001 - 2?\nAnswer: 31030333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23d + 2ee?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/90 + 50\/(-18). Suppose 142 = -116*v + 502 + 220. Put v, -5, c, -11 in increasing order.\nAnswer: -11, -5, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3602824 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -199, -632, -1455, -2794, -4775, -7524?\n\"Answer: -21*g**3 - 6*g**2 - 4*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(3 - 1 - 1 + 3*h).\nAnswer: 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*k = -14, o - k - 33 = -22. Let p(q) = q**2 - 13*q + 14. What is p(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 23)*((-8341)\/2856 - -4). Let x = p - -483\/17. Calculate the common denominator of 57\/16 and x.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 0 (c) -2\/15 (d) 3 (e) 0.1 (f) 50 (g) 1650\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 4*j - 2 + 1447*j**3 + 4*j**2 - 1448*j**3 as n + v*j**3 + a*j**2 + w*j and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19473?\nAnswer: 3, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3042 and 351?\nAnswer: 9126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (89 - 15) + 10 + (11 - 20) + -1 + -7.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19137124 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 0. Let m be (-15)\/(9\/z) + 3. Let p(a) = -a**2 + 6*a - 2. Let b be p(5). Solve m*l = 2*t + 3*l + 1, -b*l = -3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16684514 and 13447?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c + 46. Let a be m(15). Let r(t) = -2*t + 60. Let i be r(10). What is the highest common divisor of a and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269, -259, -261, -281, -325, -399, -509, -661?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 4*c**2 - 19*c - 70. Let r be q(-3). Let n(h) = -4*h**3 + h**2 + 5. Let a(i) = 5*i**3 - 2*i**2 - 6. Calculate r*n(j) - 3*a(j).\nAnswer: j**3 + 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -362?\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -10*m**2 - 40*m + 6. Let s be v(-4). Solve 3*x = s, 0 = q - 4*x + 15 - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 990*a*k**4 - 11*a*k**3 + 47*a*k**2 - 27*k**2 wrt k.\nAnswer: 23760*a*k - 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.225, -3.2, -3, 0.6, 1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 338168 - 173480110\/513. Let v = i - 4\/57. Which is the third smallest value? (a) -0.5 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(5*(sqrt(448) + (-2 + sqrt(448))*-1 + -3 + 0) + -1))**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1. Suppose t = f - 14. Let r(g) = 2*g - 2. What is the remainder when f is divided by r(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.20709568 to four dps.\nAnswer: 1.2071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 4:35 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2861 = -125*w - 246*w - 849 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 701120509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = k - 8. Calculate the remainder when 30 is divided by ((-8)\/k)\/((-12)\/24).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((15\/6)\/(-5))\/(2\/(-152)). Suppose 3*q = 5*p + y, 0*p = q - 3*p - 18. What is the third derivative of -20*x**2 - 13*x**6 - 2*x**q + 2*x**6 + x**2 wrt x?\nAnswer: -1560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2cd + -4?\nAnswer: -2d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17.76 and -0.04.\nAnswer: 17.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -40*n**2 + 3*n. Let i(v) = 2*v. What is k(i(z))?\nAnswer: -160*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 84*m**2 + 1 - 2 - 43*m**2 - 44*m**2. Let r be (-2)\/(-6)*(0 + 0). Let g = -1 + r. Calculate d(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((sqrt(432) - (-1*sqrt(432) + sqrt(432))) + sqrt(432)).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -2, 1, -7, -111, 11 in ascending order.\nAnswer: -111, -41, -7, -2, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m**2\/5 + 19176*m\/5 - 347112\/5 = 0. What is m?\nAnswer: -3214, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 3. Calculate the remainder when 95 is divided by k(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7 = -n, 0 = n + 2*i + 3*i - 11. Let u be (-4 - (-2 - n)) + 17. Solve 3*h - 6*h = -q + 4, 0 = -4*q - 3*h + u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, -5, 10, 5, 1, 319.\nAnswer: -5, 1, 5, 10, 127, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3360345 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -458049\nAnswer: -458049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**3 - 4*z + 5. Let j(x) = -17*x**3 - 11*x + 14. Suppose 0 = 2*r - 4*d + 38, -r - 2*r - 3*d = 21. What is r*h(w) + 4*j(w)?\nAnswer: -2*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 15 = j, 5*x + 3*j = -j + 27. Let c be (x + 1 + -4)\/(-2). Do 6 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85935?\nAnswer: 3, 5, 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k + 2. Let u be q(-4). Let a(h) = -h**2 + 2. Let v(s) = -9*s + 11 - 6*s**2 + 9*s. Determine u*a(i) + 4*v(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 9*v)*(-2*v + 2*v - 5*v)*(-2*v - 84 + 84).\nAnswer: 90*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -848, -3453, -7786, -13847, -21636, -31153, -42398?\nAnswer: -55371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from dddhhdddczc?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 5*v**2 - v - 36. Let q = 66 + -72. Let k be j(q). Solve -14 = -2*t - k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11 - (-4 - (-4 - 1)). Let i(p) = -7*p**3 - 5*p**2. Let g(t) = -3*t**3 - 2*t**2. Calculate l*g(a) - 4*i(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 109672 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 2 + 1 + -2. Suppose -10*f + 12 = -7*f. Solve 4*s + f*t = -16, p = -3*s - 5*t - 3 - 19 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 217306*m - 15 - 14.\nAnswer: -217306*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000687389 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -547, -353, -149, 71, 313?\n\"Answer: q**3 - q**2 + 190*q - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - 2*p**5 - 2*p**5 + (919*p + 249*p**2 - 919*p + 2)*(p**3 + 0*p**3 + 0*p**3).\nAnswer: 247*p**5 + 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4 + 124280*n**3 - 772400190*n**2 + 1544427560*n - 772151645 = 0. Calculate n.\nAnswer: 1, 12427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14044052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*f**3 + 28*f**3 + 0*f**3.\nAnswer: 127*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*s + 62 = 0, 0*s + 5*s = -3*y + 79. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -322*o - 4. Let j(d) = -d - 7. Let p be j(-9). Let x be (0 - p)\/(6\/(-9)). Let w be r(x). Round w to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2628117 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22746781 is divided by 2527420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18581906 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37054933393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**2 - 78*m + 26*m - 40 + 5*m**2. List the prime factors of b(-12).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**3\/6 + 2342*b. Let n(q) = 67*q. What is t(n(c))?\nAnswer: -67*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4 + 4 + 2*x. Let t(c) = 39*c**2 + 378*c + 27. Let o(j) = -3*j**2 - 28*j - 2. Let n(d) = 27*o(d) + 2*t(d). Calculate n(y(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -3, 41, -271 in increasing order.\nAnswer: -271, -3, -2, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*a + 16 = 0, -3*a + 7*a = -5*c - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -52)\/8 + -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**7\/1260 + h**5\/40 - h**4\/24 + 2*h**2. Let b(u) be the second derivative of m(u). Differentiate b(n) wrt n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1497 + -11?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 10, -258 in decreasing order.\nAnswer: 10, -1, -2, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -0.02 (c) -0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5806 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 89.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3 - 3)*(-1 + m**2 + 1) + 6*m**3 + 442*m - 442*m + (-m + 0*m + 2*m)*(-18*m**2 - 11*m**2 + 5*m**2).\nAnswer: -19*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1534772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 372902495?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9075*r = -10464*r + 98619 for r.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91583?\nAnswer: 91583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 43 + 64 = -5*m, 3*m + 117 = 4*h. Suppose -3*u = -3*y - h, -2*u - 3*u = 4*y + 53. Let k = y + 15. Solve 3*x - 3 = k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -16 + -10 + (51 - 8)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6))\/4*(842 + -578)*(-6)\/(-4).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-3))**27*(j\/(j**(-1\/18)\/j))**(-39) assuming j is positive.\nAnswer: j**(329\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32676*l**6 + l**5 - 278*l**3 - 2*l**2 - 4674567*l + 9 wrt l?\nAnswer: 3921120*l**3 + 60*l**2 - 1668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**(2\/15)\/a)**50)**(2\/45))**(3\/8) assuming a is positive.\nAnswer: a**(17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5852 and -84957.\nAnswer: -497168364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-198)\/(19 - 8)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**3*q*s*u + 3787569*c**3*s*u + 160*c**3 + c**2*q*u + 74*c**2 - c*q*u + 157*u wrt s?\nAnswer: -c**3*q*u + 3787569*c**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/21 in 4, 3\/4, -0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.995 - 0.965. What is the closest to 9 in 1, o, 2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 230 and 1?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1. Let v(a) = 34*a - 1. Let c(s) = v(s) + 5*x(s). List the prime factors of c(5).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**2 - 16044*o + 414440 = 0. What is o?\nAnswer: 26, 3985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1431756 and 12150?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -5\/1247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2099218, 2099192, 2099166, 2099140, 2099114, 2099088?\nAnswer: 2099062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3876*q + 7881. What is z(-2)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r - 62 = -2*r. Solve r*x - 16 = 4*s, -2*x - 2*s + 13 = -5*s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1017 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -143147566?\nAnswer: -143147563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7093702.5 rounded to the nearest 100000?\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(2 + 0 + sqrt(2736)))**2.\nAnswer: 2304*sqrt(19) + 98752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 185 - -190. Suppose 900 = -q*j + 380*j. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d + 25 = 0. Suppose 25 = -d*x, p + 5*x + 35 = -4*p. Let a(b) = 2*b**3 - 142*b**2 + 780*b - 4. Let q be a(6). Put 6, 5, q, p in descending order.\nAnswer: 6, 5, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 5:19 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*x - 12. Find the third derivative of m**2 - 2*m**4 + 3*m**4 + m**x + 0*m**4 wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2343818.9 and -2.\nAnswer: -2343820.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56417 - -56416.099984. Let l = q + 0.9. What is l rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + 0.03. Let u = 0.12 - w. Let y = 0.176 + 3.824. What is the closest to -0.3 in y, -2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25*2816\nAnswer: 70400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-144)\/(-9))*-1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51 + b?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11292119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5101411 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 5*s**4 - 150*s**3 - 160*s**2 + 150*s + 155 = 0?\nAnswer: -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3564\/(-2187))\/((-4)\/18)*3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 258407*b**3 - 14750*b**2 - b.\nAnswer: 1550442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1216.16079 + 6.7056.\nAnswer: 1222.86639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -w - 0*w. Let r = -20\/11 - -202\/99. What is the smallest value in w, r, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 + 29273931*m - 856963036192761.\nAnswer: -(m - 58547862)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**7\/4200 + x**6\/3600 - x**4\/2 - x. Let c(b) be the third derivative of m(b). Determine a so that c(a) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*y - 5*z - 14, 0 = y - z + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 0*w**3 + 0 - 1\/2*w**2 - 1\/4*w**4 + 1\/20*w**5 - 2*w. Let x(o) be the first derivative of d(o). Factor x(b).\nAnswer: 3*b*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + 7*b - 1560 = 30*b + b for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 35. Calculate the remainder when c\/(-8)*(2 + -196) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2734255 = 37*a + 1012615 - 1579537. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -217, -391, -597, -835?\nAnswer: -1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1644*h + 208786. What is c(127)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 419102904 divided by 6163278.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*y - 173*y - 163 - 3842 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = b - 7. Let q be (b\/4)\/((-4)\/(-8)). What is the third derivative of -5*s**5 + 5*s**q + 3*s**2 - 4*s**5 wrt s?\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-10)*(2 - 1). Let l = 5 + 40.5. Let j = l - 46. Is j less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6804143713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/117 - 37\/117. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n, -5*y + 10*y - 3*n = -20. Let v = 22 - 14. What is the tens digit of (v\/10)\/(y\/(-50))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7941088*k**3 - 3561520*k**2 wrt k.\nAnswer: -47646528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0*31\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 5*t - 756, 3*h - 4*t - 753 = 0. What is the highest common factor of 26 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205382.\nAnswer: 2, 103, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11.8 times -0.4\nAnswer: 4.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4072*x - 4 = 4070*x. Solve -x = 3*l + 3*c + 1, 0 = -l - 2*c - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 620 = 20*s. Let i(q) = -9*q - 95. Is i(s) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13223 by 73.\nAnswer: -13223\/73","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 450 - 420. Does 45 divide (36\/i)\/((-24)\/(-11720))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/5, -10.944, -9 in descending order.\nAnswer: 2\/5, -0.5, -9, -10.944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m**2 - 7. Let w(s) = -s**2 - 1. Let j = -20 - -23. What is j*q(c) - 21*w(c)?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 397 divide 901529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 5*q + 17 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236093913.\nAnswer: 3, 11, 491, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, 548, 1680, 3382, 5654?\nAnswer: 8496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46, -40, -34, -28, -22?\n\"Answer: 6*x - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177606.4*-0.1.\nAnswer: 17760.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -167 (b) -2 (c) -0.2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 344153423 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -73, -115, -159, -205?\n\"Answer: -g**2 - 39*g - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from nbnnnndbnrnndnnbnnb.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8625825?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201847 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5214, 20876, 46986, 83544, 130550, 188004?\n\"Answer: 5224*o**2 - 10*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**10*n\/n**(5\/3)*n)\/(n**(1\/7))**(14\/11) assuming n is positive.\nAnswer: n**(335\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 15 = 0, -r - 2*n - 3 = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.81 + -3.19. Put f, 0.2, -3, -0.1 in descending order.\nAnswer: 0.2, -0.1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q - 6 - q - q**3 + 3*q**2 + 8*q - 4*q. Let k be g(4). Suppose -k*b = -129 + 43. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 748 and 27588?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/3*(-15 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 52.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**4\/24 + t**2. Let d(m) = m. Let o(p) = 5*p. Let j(y) = 11*d(y) - 2*o(y). What is z(j(a))?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -18*v - 165. Let r be y(-11). Calculate the greatest common divisor of r and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*o, 4*o + 4 - 2 = -2*k. Let n(i) = 4*i**3 - i + i**2 + 1 + 0 + 0*i + 0*i. List the prime factors of n(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360\/687960*(-312)\/(-16)?\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5149 + 5149 + 4509*u to the form x*u + t and give x.\nAnswer: 4509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**4 - 1626*c**3 - 2*c**2 - 593*c?\nAnswer: -48*c - 9756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 206644837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1678 - -1681 - (-22 + -2 + 2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 13\/732?\nAnswer: 13\/732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -2) + -13 - (-3 - -11 - 8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.9, 7, 3, -2\/19, -3 in ascending order.\nAnswer: -3, -2.9, -2\/19, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1695562 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(396))**2 + 5 - 2*(sqrt(99) + -2)**2) + -3.\nAnswer: 24*sqrt(11) + 14052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 638*a**2 + 5*a + 4. Let r be l(-1). Calculate the highest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -871401, -1742803, -2614205?\nAnswer: -3485607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 74 - 106 = 0. Let q = 43 - o. Suppose -4*m - 3 = -7. Put 2, q, m in increasing order.\nAnswer: m, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Is (3\/q)\/(8\/176) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1177 - -1228. Let k be (-2)\/(-5) + 72\/20. Let s = t - k. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 2*j + 4, -4*r - 3*j - 6 = 0. Suppose p + 2 = -5*v + 18, r = -5*p - 20. Find the third derivative of 19*d**v + 6*d**4 - 2*d**2 - 11*d**4 wrt d.\nAnswer: 336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.03 + -2. Let v = l - -8.97. Let q = 8.9991 - v. What is q rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 20173 = 20027. Suppose -14*k = -19*k + z. Does 67 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -191, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 76*g - 131*g - 2 - 44*g.\nAnswer: -251*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**0\/m)\/m)**50\/(m\/(m\/(((m\/m**(-10))\/m*m)\/m))*m*m**(-7\/6)))**(-3\/2) assuming m is positive.\nAnswer: m**(659\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/1099800 and -197\/245340.\nAnswer: 31894200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 0*z**2 - 4\/3*z**3 + 0 + 47*z. Let l(f) = f**2. What is b(l(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 23749, -2, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**3 + 43*l**2 - 42*l + 46. Suppose 7*c + 4 = 6*c. Let x(m) = -m**3 + 14*m**2 - 14*m + 15. Let w(p) = c*o(p) + 11*x(p). Is w(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -3 (b) -2 (c) 1\/253 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p**3 + 150*p**2 + 74*p + 69. What is v(38)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.06 + 8.06. Sort -3, -6, -1.8, s in descending order.\nAnswer: -1.8, s, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776396.\nAnswer: 2, 67, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 336*b**4 - 699*b**3 - 957*b**2 + 87*b + 9 = 0.\nAnswer: -1, -1\/16, 1\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -9*t - 2941 + 2920, 0 = -3*l + 2*t + 28 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57112)\/(-10384) - 3\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1239410 less than 0?\nAnswer: 1239410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000857487556 rounded to six dps?\nAnswer: -0.000857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*c + 19, 0 = -3*i - 2*c - 7 + 6. What is the remainder when 10 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27623 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 9. Let w be s(9). Suppose w = 5*h - 0 - 10. What is the tens digit of 3 + (-2)\/h + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1238 - -1241. Solve -i - l + 4 = 0, -a*l = 7*i - 2*i - 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**3 - 17*u**2 - 17*u - 51. Calculate d(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k**4 - 574636*k**3 + 430896*k**2 + 2585764*k + 1580216 = 0. Calculate k.\nAnswer: -1, 11\/4, 35914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 418602 and 48?\nAnswer: 3348816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 0 + 6*u + 0*u**2 - 1\/6*u**4 + 0*u**3. Let a(h) = -1. Let b(c) = -2*c - 6. Let f(o) = 6*a(o) - b(o). Give f(t(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 17. Let z(l) = -4*l - 69. Let h(q) = 9*m(q) + 2*z(q). Let s be h(-11). List the prime factors of s - 7 - (-61 - 3).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 18 = -4*u, -2*u - 1 - 5 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-7 + 13 - 4) - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -5 + (-56 - -59 - (-2 + 0 + -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 2*y + 437. Let r be n(22). Let u = 7.6 + -20.6. Let m be (1\/2)\/(1\/(-10)). Which is the closest to u? (a) r (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12188, 51690, 117522, 209678, 328152?\n\"Answer: -o**3 + 13171*o**2 - 4*o - 978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452083461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**7\/1680 + m**6\/960 - m**5\/120 - m**4\/48 - 9*m**2. Factor y(j).\nAnswer: j*(j - 2)*(j + 1)*(j + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1281.5927153 and 0.15464.\nAnswer: 1281.7473553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 7 - 2*d - 2 to the form w + a*d and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -179, 4, 3, -43, 2, 1 in ascending order.\nAnswer: -179, -43, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0504 - 5.8204. What is o rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/6 + 2*r**3\/3 + r**2 + 4*r. Suppose 3*v = 5*v + 6. Let o be k(v). Solve -2*i = -o, -5*x = -3*i - 2*i + 30 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-33)*17*(-31)\/1581\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7 + 1371548*y + 3.\nAnswer: 1371548*y + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.9. Let f = 0 + i. Let t = -1.9 - -2. Which is the second smallest value? (a) t (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3 + (80\/(-6))\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7169.\nAnswer: 67, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*j + 11. Suppose -b - b = -t + 262, 5*t - 1304 = j*b. Suppose -5*u - h = -t, -4*u + h = -7*u + 154. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, -3, 0.2, -2, 3.7667, 0.4 in increasing order.\nAnswer: -3, -2, 0.2, 0.4, 3.7667, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/8 + (-10)\/(-4). Suppose -s*h + 6 + 1 = 3*z, 0 = -2*z + 2*h + 8. Suppose -54 = -z*p - 0. Solve 5*y - p = -4*u, -2*y + 4*u + 2 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*k - 601 + 215 - 1774. Let b(m) = 4*m**2 - 4*m + 3. Calculate the remainder when k is divided by b(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 + d**2 + d - 4. Let i be s(-3). Suppose -15 + i = r. Is 2 a factor of 4\/18 + r\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 52*o - 2864. Calculate v(55).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 361*d**4 - 27*d**3 + d**2 - 76242?\nAnswer: 1444*d**3 - 81*d**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b + 40. What is p(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**3 + 6*v**2 + 4*v - 1. Let q(o) = 11*o**3 + 12*o**2 + 9*o - 2. Let x(m) = 4*q(m) - 9*y(m). Let z be x(-6). Is ((-14)\/(-5))\/(z\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 11:14 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from {z: 4, c: 6, m: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2 - 2*v - v)*(177943 - 177943 - 1350*v).\nAnswer: 2700*v**2 - 2700*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**3 + 6*p**2 - 2*p + 10. Let x be z(5). Let w = x + 234. Solve l - 2*l = s + w, 0 = -3*s - l - 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -499, -799, -1101, -1405, -1711, -2019?\nAnswer: -2329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76979 and 392?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfhyyxgoxhgxxxx. What is prob of picking 1 f, 1 y, and 1 h?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3217 - ((-26)\/26 - 8\/(-2)). What is the common denominator of -51\/11 and 7 + 0 + 23085\/p?\nAnswer: 7084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1597?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00173589647 to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/5))**(-2\/77)*(u\/(u*u**(-2\/17)))\/(u\/u**(-2\/7)) assuming u is positive.\nAnswer: u**(-7747\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 57708 divided by -5\nAnswer: -57708\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110122020001 + -12022?\nAnswer: 110122000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760984?\nAnswer: 2, 7, 107, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 434*q**3 - 2*q**2 - 2*q. Let y(f) = 4*f**2 + 3*f**2 + 867*f**3 - 6*f**2 - 3*f - 4*f**2. Let i(p) = 5*k(p) - 3*y(p). Is i(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*g - 3 = r, 4*g + 12 = 0. Solve 5 - r = -4*b - 3*f, b + 5*f = 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 130\/(-2) + (20 - 18). Let s be (-123*(-7)\/t)\/(1\/(-3)). Suppose g + 2*i - s = -3*i, 92 = 4*g - 4*i. Does 26 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -900 - -916. What is the highest common divisor of 1712 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/21629 and -79\/11190.\nAnswer: 242028510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 186100 or 186096?\nAnswer: 186096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14261672 and 302.\nAnswer: -14261370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -20*u**2 - 16*u - 9. Let j(r) = 11*r**2 + 7*r + 4. Calculate 4*d(l) + 9*j(l).\nAnswer: 19*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 11*b - 7. Suppose 2*f - f - 3*d + 15 = 4*f, d = 0. Let l(i) = 2*i**2 + 12*i - 8. Determine f*t(g) - 4*l(g).\nAnswer: 2*g**2 + 7*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = m - 2, 0 = -m + y - 3*y + 5. Let f = -204.4 - -204. Which is the closest to 0.9? (a) f (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -10. Let v(m) = 160*m - 1445. Let x be v(9). What is the third smallest value in 1, x, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -114*p**5\/5 + 1036*p**4 - 44618*p**3\/5 + 31264*p**2 - 246504*p\/5 + 29088 = 0.\nAnswer: 2, 3, 2020\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 4*f**2 + 0*f**2 - 13*f**2 + 4*f**2 - f**2 + (2*f + 0 + 0)*(-2*f - 1 + 1).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 55957*x - 109782*x + 55948*x in the form w + i*x and give i.\nAnswer: 2123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6063 - -6064. Which is the nearest to v? (a) 25 (b) 2 (c) -2\/3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340.44 rounded to 0 dps?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpwqrqgrwqqpwqrq. Give prob of sequence rppq.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -8. Let r = g - 3. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -96 + 110. Let y = -14.1 + z. What is the third biggest value in y, 2\/11, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.96 + 1.1. Let v = b - 0.26. What is v rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o - 1. Let s be r(10). Let t = s - 43. Suppose 0 = 4*p - t + 10. Calculate the greatest common factor of 12 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 136, 438, 944, 1660, 2592, 3746, 5128, 6744?\n\"Answer: y**3 + 96*y**2 + 7*y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -43 - (-1 - 32).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/68739 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*g**2\/7 + 232*g\/7 + 46\/7.\nAnswer: 2*(g + 23)*(5*g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 + 1022. List the prime factors of k.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 + 34. Suppose 17*h + z = -124. Is -2*(h - -5)*(-1)\/(-2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 17*m**2 + 18*m - 88. Let x be y(5). Calculate the greatest common divisor of 671 and x.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 5*t - 6. Let p be g(4). Let i(b) = 9*b**2 - b + 2. Let s be i(p). Suppose -5*r = -x - 2*x - 48, 4*r = 4*x + s. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 0.4. Suppose -496 = 50*l - 58*l. Let s be (-3)\/24*l - -2 - -5. What is the nearest to a in s, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Suppose 5 = 3*v + m, m + b*m + 6 = -2*v. Solve 0 = v*o + 3 + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 107 + -114 + (8 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3573.99999873 + 3574. What is f rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12739 minus 13315.80464?\nAnswer: -26054.80464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58429178683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -357*d - 882*d**2 + 1923*d - 155*d**2 + 215*d + 375*d wrt d.\nAnswer: -2074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + j = -3 + 11, -j = -4*z - 14. Which is the closest to -3\/8? (a) 4 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -27 + -3 + 1 + -2. Let j = 37 + n. Let w be (j\/4)\/((-6)\/(-8)). Solve w*t = t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 76*o**2 - 663*o + 227. Give q(66).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4\/5 + 2*n**3 - 2*n**2\/5 - 2*n = 0. What is n?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 170, -2, 1, 2, -1 in descending order.\nAnswer: 170, 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 56 = -256. Let b(k) be the first derivative of -2\/3*k**3 - 1\/3*k**6 + 0*k + x + 1\/2*k**4 + 2\/5*k**5 + 0*k**2. Let b(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y - 12. What is the remainder when 20 is divided by i(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + sqrt(99) + (sqrt(99) + sqrt(99) + -1)**2*2.\nAnswer: -21*sqrt(11) + 796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0573 times -1.609?\nAnswer: 0.0921957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128\/201 + -2\/67. Let x = 3\/17 - 23\/34. Which is the closest to x? (a) z (b) 0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1810 + -1806. Sort -4, -1, 35, v in descending order.\nAnswer: 35, v, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6)\/((-338)\/(-8788)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2481 is divided by 276?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 53468*x - 1069682. What is b(20)?\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhhhhdhdhddd. What is prob of sequence dhd?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 31. Let o = 32 + -14. Let y = o - 24. What is the nearest to y in q, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f + 2211273 = -14*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 32*t - 17000 = 0. Let v = t + 691. Let c(o) = o**2 - 10*o - 9. Determine c(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 81986 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.88082614 + 9.881. Round u to 6 decimal places.\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8926503 and -0.3.\nAnswer: 2677950.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.18 + 3.82. Let a = p - 57. What is the biggest value in a, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -366 + 366.00000169. What is k rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(208) + 5 + sqrt(78)\/sqrt(54))**2 - (1 + sqrt(52) + sqrt(13) + 0)**2.\nAnswer: 142*sqrt(13)\/3 + 2491\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/241 less than 98.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 35.06356kg?\nAnswer: 35063560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 14*l + 2. What is the smallest common multiple of (85\/34)\/(((-390)\/(-72))\/13) and h(-6)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 693 = -3*z + 10*z. Let l = -174 + z. Let o = l - -232. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 4*z - 1. Let f(b) = -b - 1. Let v(m) = -4*f(m) + n(m). Does 10 divide v(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2. Let x(s) = 129*s. Let n(u) = -10*u. Let k(b) = -54*n(b) - 4*x(b). Calculate p(k(t)).\nAnswer: -576*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(456)*-2)\/sqrt(8))\/(-2*sqrt(432)).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 276*u - 1118 - 1642 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11368120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, c: 2, p: 1, m: 1, v: 1}. Give prob of picking 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 smaller than 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 277*n + 19025. Suppose v - 24 = 14. Calculate the remainder when m(-68) is divided by v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddidddd. What is prob of picking 2 d?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.4, -6\/7, 0, 0.02, 3\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-4*2*1\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151678220 divided by 1844.\nAnswer: 82255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 5*m + 2*m)*(-3 + 2 - 1)*(-139 + 182 - 112)*(-1 + 2 - 2).\nAnswer: -1242*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.0930192 to one decimal place.\nAnswer: -82.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 2\/21, -0.2, -10\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6206, -12424, -18636, -24836, -31018, -37176, -43304, -49396?\n\"Answer: v**3 - 3*v**2 - 6216*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052127196 to the power of 1\/2, to the nearest integer?\nAnswer: 45300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.934367 micrograms?\nAnswer: 0.000001934367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/((1*sqrt(132))\/sqrt(11) + sqrt(12)) - -1*((sqrt(605) - (sqrt(605) - (sqrt(605) + sqrt(605)*3)))**2 + sqrt(5)).\nAnswer: 3*sqrt(5)\/2 + 9680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-8) + (-117)\/16 - -1 and -91\/44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + g + 25 - 4, 5*s - 5*g = -20. Let b be (-1 - (4 - 21)) + s. Suppose b*q - 494849 = 1144151. What is q rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s**2 - s + 2. Let o(t) = -t**2 + 9*t - 14. Let p be o(4). Let q be i(p). What is the hundreds digit of -1*((2 - 3) + q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -19, 2, 60 in descending order.\nAnswer: 60, 4, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (5 + 2)) + (-8 - (-6 + (-3 - -9))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-8)\/(-3)*5\/(-60)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -6645 - 5063. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53791833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35391, 70684, 105977, 141270, 176563?\nAnswer: 211856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 986 + -5951\/6. Which is bigger: a or -7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 5543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*p - 63 + 150, -p - 2*i + 12 = 0. Calculate the greatest common divisor of p and 4122.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*p**2 + 7*p - 8 - p**3 - 30*p**2 + 8 + 2*p**4 to the form d*p**3 + i*p + y*p**4 + b*p**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 6997*y**2 + 2108*y - 15847. What is the derivative of s(o) wrt o?\nAnswer: 13994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113 - -116. Suppose 0 = 87*s - 86*s + p. Put -2, 1, s in ascending order.\nAnswer: s, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 32*t + 25. Determine f(10).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 254.156 to the nearest integer.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49.04 + 49. Let z(g) = -g + 19. Let p be z(16). Let o be p\/45*(-5)\/2. Put n, -2\/13, o in decreasing order.\nAnswer: n, -2\/13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 10 = -4*p + 14, 0 = p - 5*z - 29. Calculate the least common multiple of p and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 + -59. Let p = l + -23. What is the third derivative of -3*n**2 + 8*n**p - 4*n**2 - 5*n**5 + 9*n**5 wrt n?\nAnswer: 720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-16)\/(-2))\/((-42)\/(-3108)) and 48.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -295*c**5 + 45644 - 45644 + (0*c**4 + 2*c**4 + 0*c**4)*(-3*c + c + 0*c).\nAnswer: -299*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, 3\/7, -2\/13?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 1:40 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.68 - -5.6800004969. Round z to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 5:19 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3 - 0. Let u be 27\/5 + (-4)\/10. What is the third derivative of -6*q**5 + 5*q**5 - 3*q**2 + o*q**u wrt q?\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9478690432 + 2.\nAnswer: -9478690430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7106238 (base 10) to base 2.\nAnswer: -11011000110111010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008135 rounded to 4 decimal places?\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 + 4*p\/5 + 16\/5.\nAnswer: -2*(p - 4)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*sqrt(1331) + -4 - ((sqrt(1331) + (sqrt(1331) - (0 + sqrt(1331))**2))*-6 + -2).\nAnswer: -7991 + 110*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 46, 60, 80, 106, 138?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28\/195 - 17077\/780. Calculate the common denominator of (-6)\/8 + (-15)\/(-6) and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -377*x + 29772. Calculate j(93).\nAnswer: -5289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*v = -5, -c + 2*v + 3 = -0*c. Let j be (-1090)\/10 - c\/1. Round j to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/121 - -371\/484. Which is the biggest value? (a) h (b) 1\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/80 and 4 - (1\/2 + 2394\/600).\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2095632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - -3 - -18*1. Is 1236\/27 + 4\/k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6188 and 14?\nAnswer: 6188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d + 10*d + 84*d**2 - 82*d**2 - 4*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6\/91 (b) -0.2 (c) 870 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - 5) + 9 + 14 - (3 - -14).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 3, -87.31522, -1 in decreasing order.\nAnswer: 3, 2\/7, -1, -87.31522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 109335, 109345, 109355, 109365, 109375, 109385?\n\"Answer: 10*r + 109325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**2 + 2*o**2 + 3*o**2)*(-306*o**3 + 111*o**3 - 255*o**3) - 2*o**5 + o**5 - 3*o**5.\nAnswer: 446*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 604484521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180531)\/(-3159) + -57 + 455\/27?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*j**3 - j + 1764 - 39*j**3 - 1762 wrt j?\nAnswer: -192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-279)\/(-2697)*1\/3*(-50)\/75?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4624 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r + 21. Let c(a) = 4*a - 20. Let h(x) = 6*c(x) + 5*t(x). Let k be h(-18). Find v such that -1\/5*v**4 + 0*v**k - 1\/5*v**5 + 0*v + 0 + 0*v**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2196*b**2 + 4391*b**2 - 37*b - 2178*b**2 - 2*b**3 to the form m*b + v + c*b**3 + r*b**2 and give m.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 4 (b) 2 (c) 3\/25 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) 6 (c) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 17*o**3 - 2*o**2 + 30*o**3 - 45*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 13\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((((sqrt(85)*-3 - sqrt(85))*-5 - sqrt(85))\/sqrt(5) + (1 + sqrt(1700))*-2)*4 + -5).\nAnswer: 13 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 + 2. Let u(d) = d**3 - 5*d**2 + 4*d + 1. Let m be u(3). Let q = -8 - m. Which is the closest to w? (a) q (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5\/5 - 60*r**4 - 3699*r**3\/5 - 6954*r**2\/5 + 45984*r\/5 + 49536\/5 = 0. What is r?\nAnswer: -86, -8, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 77?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/8 - 0. Let u = 5\/8 + b. Sort 2\/9, u, -1\/2, -5 in decreasing order.\nAnswer: u, 2\/9, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62650 and 1414.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*c - 108, 2*c + 5*k + 135 = 7*c. Let l be ((-14)\/6 + 1)*c\/(-48). Factor 3\/4*i + 0 + l*i**2.\nAnswer: 3*i*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-6))\/((-20)\/(-330)). Suppose -2*p + 43 = t. Is 0.04 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let r(g) = -g**2 + 9*g + 20. Let i(n) = -4*q(n) - r(n). What is the hundreds digit of i(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -703600 rounded to the nearest ten thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21868 divided by -28?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -105, -227, -409, -657, -977, -1375?\nAnswer: -1857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 4, v + 64*m = 59*m + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2711038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 28. Suppose 3*t + l*c + 383 = -31, 0 = -4*t + 3*c - 587. Round t to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3791886 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -219, -217, -209, -195, -175, -149, -117?\n\"Answer: 3*j**2 - 7*j - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36\/61 + 374\/427. What is the second biggest value in c, -1, -743?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1460751 is divided by 691.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 + 7*o**4 + 0*o**4)*(-o + 6*o - 3*o + o + o - 3*o - o + 2*o + o + (-1 - 3 + 5)*(-3*o + 0*o + 6*o) + 3*o - 2*o + 6*o).\nAnswer: 117*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168209*a**2 + 2*a**3 - 168209*a**2.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 13.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.55 - 0.32. Let k = u + -0.03. Let y be ((-2)\/(-7))\/(8\/14). Which is the smallest value? (a) y (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -67318, -67321, -67318, -67309, -67294?\n\"Answer: 3*v**2 - 12*v - 67309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45072.6 millennia in months?\nAnswer: 540871200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**2 + 0*m + 4\/3*m**3 - 7. Determine q so that c(q) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/21*(-1 + (5 - 6)). Which is smaller: l or 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b. Let p(s) = 5*s + 4*s - 3*s - 3*s. Determine p(x(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 - -6.8. Let o = 2 + -2.4. What is the third smallest value in -0.1, o, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 133020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/214 and 47\/5940.\nAnswer: 635580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 - ((5 - (-1 - -12 - 0)) + 9 - -11)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - 102. Let n = g - -138.9. Does -1.6 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**4\/3 - 19*w**3\/3 - 2*w**2. Let l be x(13). Let u = l + -62. Solve 0 = -q - 3*q + u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 28, 3*r - 147 = -3*b - 159 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -25.6\nAnswer: 2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w**2 + 14*w + 9. Let c be z(5). Suppose -2*v + c = -6*v. What is the common denominator of 5 and 2 + v\/36 - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -70800863*k**2 + 116485154?\nAnswer: -141601726*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + 16.96. Let y = 16.5 - n. Which is the nearest to 3\/10? (a) y (b) -3 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, y: 11}. What is prob of sequence zzy?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 101188645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) 1\/3 (b) -3853 (c) -3\/2 (d) 0.5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 2*j - 112 - 109 + 0*j - 462.\nAnswer: j - 683","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9437, -37757, -84959, -151049, -236033, -339917, -462707, -604409?\nAnswer: -765029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135.588 - 135.488. Let w be (-2)\/28*1330\/12. Let h = w + 33\/4. Which is the nearest to h? (a) q (b) -9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**2 - 2. Let i(s) be the third derivative of s**5\/15 - s**3\/2 - 25*s**2 - 3*s - 10. Give y(i(f)).\nAnswer: 8*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 47. Suppose 0 = -g - d*g + 14. Sort -5, -3, g, 4 in decreasing order.\nAnswer: 4, g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkmvvmqvmqmvmvqmq. Give prob of sequence mvm.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - z - 25 = 0. Suppose -3*i + 65 - 44 = 0. Suppose -z*r + 173 = -i. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 2552.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271603 at least 45802433\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246 and 2143398.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408355 is divided by 2106?\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 + -1022020210110120?\nAnswer: -1022020210111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2 - 2*r + 2. Suppose -5*b - 2*a + a + 13 = 0, 4*b + 4*a = 20. List the prime factors of f(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45666 and 21948.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 10) to base 4.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/22 and 17\/2034.\nAnswer: 22374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsissnnshlfl. What is prob of picking 2 f and 2 n?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2) + (0 - 8) + 1 - 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (sqrt(1377) - (1 + sqrt(1377))) - (1 + (sqrt(17) - (sqrt(17) + sqrt(68))**2*3))*-6.\nAnswer: -2746 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -672 by 6.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4196964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*r + 18321 = 22265 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/3 and 157\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 + 6*r**5 - 3*r**5 + (0*r**2 - 3*r**2 + r**2)*(-r**3 + 0*r**2 + 0*r**2) + 4*r**5 + 3 - 3.\nAnswer: 7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161 - 158. Suppose 3*y = 2*k + 35, -3*y = f*k - 15 - 0. Solve y = 5*n - 2*c, n + 3*c - 2 = 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -58882, -59124, -59520, -60064, -60750, -61572?\n\"Answer: l**3 - 83*l**2 - 58800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170 + 174. Let u = 31 + 37. Suppose u = 2*l - 5*c, 8*c - 5*c - 81 = -3*l. Solve -5*n - g = -l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 2*i**2 - 5*i - 10. Let k be w(-2). Let l = 0.007 + 0.293. Let s = l - 0.2. Which is the third smallest value? (a) 2\/21 (b) s (c) -3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190930 and 409798?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -374*a**2 - 163806*a + 2622. Give x(-438).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 21800 to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f**3 - 7*f**2 - 6*f - 4. Let t be d(-4). What is the units digit of (4\/6)\/(8\/t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k + 4. Find the second derivative of -j - j**k + 3*j**2 - j**2 wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 1\/5 (c) 0.5 (d) -2\/7 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151703449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -539*a**3 + a**2 - a - 5. Let p be b(-2). Suppose 0 = -4*h + 24931 + p. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 210547 + -5307?\nAnswer: 204240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 6:42 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13594*t**4 - 2*t**3 - 36*t**2 + 279.\nAnswer: -326256*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 74552.9983 to the nearest 100.\nAnswer: 74600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**2\/4 - 393891*j\/2 - 145636995\/4 = 0.\nAnswer: -262409, -185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**2\/7 + 255672*f\/7 - 2812150\/7 = 0.\nAnswer: 11, 127825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*u - 24055 = -4905, -u = h - 3830. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 9:33 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 21.3231987 milliseconds?\nAnswer: 0.00000024679628125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 1.39 (c) -5 (d) 1.9 (e) 5 (f) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, s: 2, o: 1, y: 2, v: 1}. Give prob of picking 1 o, 1 y, and 1 v.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**2 - 5*h + 7. Is q(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1. Let w be (14\/49)\/((-1)\/(-7)). Let v(j) = 0*j - 3 + 3 + w*j - 2. Suppose 0 = 5*o - 4*l - 16 - 15, 0 = o + 5*l + 17. Calculate o*k(r) - v(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (10\/(-40))\/(3\/(-60108))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssc when three letters picked without replacement from {m: 2, b: 1, c: 4, x: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3237959043?\nAnswer: 3, 11, 17, 19, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 14*y + 11. List the prime factors of c(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -955979840 and -0.05906.\nAnswer: -955979840.05906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3 = 0, 3*t + l + 2 = 2*l. Let s = 1 - t. List the prime factors of ((-3)\/s)\/((-6)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -695, -2796, -6297, -11198, -17499?\n\"Answer: -700*m**2 - m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 17*o**2 - o + 17. Let i be r(17). Put -2, i, -5 in decreasing order.\nAnswer: i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*a - 2 + 4 = 0, -g = a. Put 6, 1, g, -4 in increasing order.\nAnswer: -4, g, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 584*q**3 - 12*q + 147*q**2 - 147*q**2 + 6 - 586*q**3. Let h = -14 - -6. Is o(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2135 + 218?\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/40)\/(15\/(-20))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -257.01922 times -9\nAnswer: 2313.17298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 234 divided by -3\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-14)\/6 + (-8)\/12)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48654224 to the nearest integer?\nAnswer: 6975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 68. Suppose -9*u + b = 36. What is the tens digit of (-1)\/((-1)\/256) + u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*i - 5313 = -59*i for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-10)*114\/(-114)*2\/(-4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 - 133. Let x be 35\/21 + 424\/k. What is the highest common divisor of x and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 924126.90000025 + -924127. Let b = a + 0.1. What is b rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126256 or -126259?\nAnswer: -126259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -265046 + -2752583.\nAnswer: -3017629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-25))\/(1012\/5060)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1986 and -0.5?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o - 79 = 516 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-10))\/(1\/(-1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*((sqrt(68) + sqrt(68) + 1*sqrt(68)*2)\/(1*sqrt(400)))**2.\nAnswer: 408\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Let s = -2 + 4. Suppose -5*m = -4*p - 11, -3*m - s*m = p + 9. Put 5, i, m in descending order.\nAnswer: 5, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*i**2 - 28*i**2 + 2 + 3*i + 14*i**2 in the form c + q*i + s*i**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3, 3*l + 172 = 4*j - 85. Is j greater than 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 1 - -1) + -16 + 0 + -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**(-4))*g)\/g*(((g**3\/g*g)\/g)\/g)\/g*(g**(-2\/7))**(-2\/3) assuming g is positive.\nAnswer: g**(67\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 4, d: 15}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-6) + 34\/4. Suppose -r = -5*z + z. Suppose 15 = z*y + 5. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103309 - q + 5475 - 123116.\nAnswer: -q - 220950","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.6 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 4:17 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 t, and 1 v when three letters picked without replacement from {t: 1, m: 1, v: 1, r: 2, l: 1, b: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = 47*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/45*-5)\/(1\/(-6)). Suppose -4*o - 17*f + 988 = -13*f, d*o = -3*f + 991. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37102.\nAnswer: 2, 13, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-265 + 265 - 26*j)*(-20*j**2 - 2 - 6 + 6).\nAnswer: 520*j**3 + 52*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 272, -238, -1058, -2188, -3628?\n\"Answer: -155*d**2 - 45*d + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (12\/9)\/((-11)\/(-33)) + (-333)\/56 and -51\/752.\nAnswer: 5264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20723.\nAnswer: 17, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/64227 and -67\/97407.\nAnswer: 26397297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -43, -44, 33, 224, 565, 1092?\n\"Answer: 6*h**3 + 3*h**2 - 52*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 520*s + 7740.\nAnswer: 5*(s - 86)*(s - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 340*y - 87323 - 1668437. List the prime factors of y.\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 440946 and 61963?\nAnswer: 18960678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -187*u**2 - 512.\nAnswer: -374*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 3*j + 0 - 3\/2*j**3 + 1\/20*j**5 - 1\/4*j**4 + 3*j**2. Find f, given that n(f) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6 (b) -2 (c) -183 (d) 2\/7 (e) 0.208 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 25465363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 162 + -153. What is the remainder when 429 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978137.1 months to millennia.\nAnswer: 81.511425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 111652 - 111652 + 448*y in the form f*y + v and give f.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32215.2 and -0.1377.\nAnswer: -4436.03304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j + 36. Calculate the remainder when 8\/(-5)*(105\/6)\/(-1) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in 2\/21, -2\/15, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8019, -12882, -17745, -22608, -27471?\nAnswer: -32334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*q**4\/7 + 35290278*q**3\/7 - 308212*q**2\/7 = 0.\nAnswer: 0, 2\/229, 77053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((13\/(-3913))\/(-11*(-105)\/2695)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhyyyyyyyeyyey. Give prob of sequence yy.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538, 967, 1358, 1705, 2002, 2243, 2422, 2533?\nAnswer: 2570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13784769 is divided by 1378476?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-5\/3))\/s*s*(s\/s**41)\/s assuming s is positive.\nAnswer: s**(-115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*i**2 - 2*i**3 + 11*i**4 + 35*i**2)*(18 - 21 + 10) in the form m*i**3 + r + c*i + z*i**4 + n*i**2 and give z.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**3 - 7*g**2 + 14*g - 4. Let t be u(6). Suppose -5*x = -4*i - t, 4*x + 6*i - 388 = 2*i. Does 48 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 19*i + 136. Let n be z(-7). Suppose 2*y + 6*y - n*y = 0. Let q be -2*(-1 - (-74)\/76). Are q and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-293 + 595 - 294)*(-23*a - 22*a + 44*a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(9))\/sqrt(3) + -1*(sqrt(192) - (sqrt(192) + -1)) - (4 + (0 + sqrt(432) + sqrt(432))*6)**2.\nAnswer: -62225 - 1158*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 + 4*m + 3. Let o be b(-2). Suppose 2*n + 5*v = -2*n - 13, 5*n - 3*v = -o. What is the common denominator of -76\/9 and 40\/(-9) + n\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/2 + 3094344*u**2 + 12377382*u + 12377384 = 0. What is u?\nAnswer: -2, 6188692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 + 4*g**2 + 5*g + 3. Calculate b(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {v: 3, g: 1, a: 1, u: 1, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6 - 0. Suppose -9 = -2*k + 5*w - 0*w, -3*w + 7 = 5*k. Find the third derivative of -3*u**t + 5*u**2 - 2*u**6 + 0*u**k wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106734785?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -767756, -767717, -767678?\n\"Answer: 39*f - 767795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0109 times -0.3\nAnswer: -0.00327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 4)*((-3 - 2 + 3)*(-2 + 2*u + 2) - 6 + 6 + 8*u)*(-2*u**2 - u**2 + 2*u**2) in the form w*u**2 + h*u**3 + v*u + s and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -6*a + 3*a - 551, -5*a - 4*y - 889 = 0. Let v = 293 + a. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 9*m**2 + 8*m - 5. Let u be l(-6). Let j = -51 + u. Which is greater: j or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 69 = 4*t, t - 14 = 4*z - z. What is the remainder when 50 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -160151, -160018, -159893, -159776?\n\"Answer: -4*t**2 + 145*t - 160292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 1241*h**5\/60 - 34*h**2 - 5*h. Let a(t) = 2*t. What is a(g(m))?\nAnswer: 2482*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -225, -1846, -6241, -14796, -28897, -49930, -79281, -118336?\n\"Answer: -231*a**3 - a**2 - a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 14840 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916965316?\nAnswer: 2, 2243, 102203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29379 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 1384 - 1920 = 0. Calculate the highest common factor of a and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {n: 3, a: 8, g: 5, z: 1, o: 3}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.07, 2\/9, 0.4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*q**3*u - 13*q**2*u + 7*q*u + 9 wrt q.\nAnswer: -60*q*u - 26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**3 - v**2 + v - 1. Let t(a) = -11*a**3 - 3*a**2 + 2*a - 2. Let n(s) = 7*h(s) - 3*t(s). Let j be n(-1). Solve 0*p + j*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48585?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 567006464 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1756885 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -13, 5 in descending order.\nAnswer: 5, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 + 3*h**2 - 9. Suppose 16*b = 10*b + 48. Let j(g) = -g**3 + 2*g**2 - 6. Calculate b*j(m) - 5*q(m).\nAnswer: 2*m**3 + m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6828555 is divided by 2276000?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.0410942235 and 2661.\nAnswer: 2668.0410942235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -874.7953412 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97e (base 15) to base 3.\nAnswer: 2221102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3649645345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Is (-12)\/(-8)*92\/n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*b - 18, t = 4*b + 7 + 2. Let i be (-2)\/(2*1\/b). Let a = -2 - -4. Solve 6*q + i*d + 11 = a*q, 3*q - d = -5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times -222?\nAnswer: -6216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 - 5)*(-10*i + 14 - 14 + i + i - 4*i + 4*i - 4*i - i + (3 - 4 + 0)*(2*i - 2*i + i) - 2*i + i + 0*i) in the form f*i + u and give f.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(15)\/(sqrt(432)*6))**2.\nAnswer: -sqrt(5)\/12 + 46661\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43.7 in 4, -0.109, 2?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10896, -4, -2, 0, -13.\nAnswer: -13, -4, -2, 0, 10896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 55833 = 69056 + 34921. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431442 is divided by 30760?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, a: 3, l: 11}. What is prob of sequence laa?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 8*k. Let p(x) = x**3 - 2*x**2 + 15*x. Determine 7*i(m) + 3*p(m).\nAnswer: 3*m**3 + m**2 - 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + -1 + 2*sqrt(2057))**2 + ((sqrt(2057) + (-1*(-2 + sqrt(2057)) - sqrt(2057)))*-1)**2 + 4.\nAnswer: 836*sqrt(17) + 43285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1442 and 5399569?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 12*h**2 + 7. Let p(u) = 2*u - 17743. Determine p(t(f)).\nAnswer: 24*f**2 - 17729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000251608193 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*i = -92*i + 2*w + 222, 6*w = -5*i + 269. Calculate the highest common factor of i and 2695.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, l: 2, o: 3, f: 1}. What is prob of picking 1 v and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**5 + 1899478*o**4 - 24*o**2 - o - 23787 wrt o?\nAnswer: 60*o**2 + 45587472*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 351 - 348. Suppose 142 = -i - k*y + 186, -3*i - 4*y = -127. What is the remainder when 89 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -435, -455, -489, -537, -599, -675?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f**2 + 29*f + 170. Let m be i(-5). Let c = m - 235. Suppose 4*v - 9 = -2*g + 5, 3*g = -v - 4. Calculate the greatest common divisor of v and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*u - 5*f - 45 = 89*u + 92*u, -16*u = -4*f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 - 5*p**2 - 4*p**2 + 11*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - j - 61500 = 0, 5*r = -0*r - j - 102500. What is r rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fprfhhhh. What is prob of sequence pr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5888*b + 58568 = 75090 + 236662 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18257\/219 or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnjjpjnnnnhn. Give prob of picking 1 p, 1 j, 1 n, and 1 h.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**4\/4 - 3*w + 5. What is the derivative of h(o) wrt o?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and 36473.\nAnswer: 4376.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 306, 607, 910, 1215, 1522?\n\"Answer: s**2 + 298*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.91 + 0.6. Let s = -0.01 - f. Is s less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.113 in -1\/3, -0.1, -22\/9, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15804441 + 34118028. Let t = r - 7513587. Round t to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162269 >= 341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 451 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 13*u**2 + 8. Let s(l) = 3*l + 4. Let f be s(3). Let h be y(f). Let n = h - -4. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 - 21?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/4 and -139\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 3*i + 19. Let a(j) = -3*j**2 - 4*j - 19. Determine 3*a(q) + 4*l(q).\nAnswer: -q**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.3, -1\/3, -1.1 in increasing order.\nAnswer: -1.1, -1\/3, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2 + k**2 + 5 + 3*k + 0. Let b = -4 + 5. Let x be -1*(-2 + 5)*b. What is s(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 397 + -78. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121910 = 16*u + 29414. What are the prime factors of u?\nAnswer: 3, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at least as big as -600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -1af2ea?\nAnswer: -1af2ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 18935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2100) + sqrt(2100))\/(1*sqrt(567)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 - z**4 - z**4)*((0*z + z - 3*z)*(0 + 1 + 0) - 19*z + 30*z + 17*z).\nAnswer: -78*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 90 = -3*d, -a + 22 = 2*d - 27. Suppose 22*k + 28 = d*k. Solve -5*j = -4*o - 9, 4*j + 3*o - k - 25 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480985 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: What is next in 261748, 1046906, 2355502, 4187536, 6543008?\nAnswer: 9421918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 87 = 2*h. Let w = -34 - h. Let o = w - 21. What is the closest to 0.06 in 0.5, 5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75514887 or -75514881?\nAnswer: -75514887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r - s - 61 = 0, -2*r - 5*s + 19 = 0. Calculate the smallest common multiple of r and (-2 + 10)*(-2 - 0)\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (12 + 0)) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 28*w + 121. Let n be q(27). Suppose -3*l + 94 = n. Is l at most as big as 2\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 8*y**2 - 21*y - 38. What is w(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 34*w - 48. Suppose -42 = -7*k + 35. Suppose 24*g = 25*g - k. Let y be s(g). What is y rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2. Let v(z) be the third derivative of -34*z**5\/15 - 709*z**2. Give i(v(o)).\nAnswer: -55488*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1296*c + 612*c - 421*c - 210*c to the form n + y*c and give y.\nAnswer: -1315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(10))\/(4*(sqrt(4)\/sqrt(2) + sqrt(2))) - sqrt(120)\/((1*sqrt(72) + sqrt(72) - sqrt(72))\/sqrt(12)).\nAnswer: -13*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41886 and 2506?\nAnswer: 293202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*h - 17. Suppose j = h*j - 8. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, y: 2, b: 5}. Give prob of picking 2 b and 1 m.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - g**2 - 4*g + 7. Calculate f(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.14 + 2.94. Which is the second smallest value? (a) 1 (b) -3 (c) r (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x + 46*x - 20 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 3 + 5*m + m**2 + m**3 - 5*m**2 + 2. List the prime factors of d(4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -11*x - 18. Let l be y(-8). Let p be 0 + 1 - l\/50. Suppose 3*m - 2 = -t, -t - 5*m - 10 = 4*t. Which is the nearest to 1\/3? (a) p (b) t (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**4\/4 + 23*c**3 + 141*c**2\/2 - 34*c + 12. Find w, given that i(w) = 0.\nAnswer: -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444.9 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -1c939?\nAnswer: 1c941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14981966 and -89.\nAnswer: 14981877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 10*a**2 - a - 8. Let k be g(-11). Find the common denominator of (k\/22 - -3) + 2 and ((-4)\/12)\/(6\/(-171)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12333*l**5*u + l**2*u + 2*l**2 + 35920*l*u wrt l.\nAnswer: -246660*l**3*u + 2*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -10*k. Let h(v) = 303*v - 11. Give l(h(p)).\nAnswer: -3030*p + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5c9c48 (base 13) to base 12\nAnswer: 8b1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*i + 2*i - 12, 0 = -2*i - 3*o - 9. Suppose b + v = -i*b + 16, 4*b = -2*v + 60. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250454 equal to 250970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 - 1 = 0. Let f be (-12)\/48 + (-65)\/(-4). Solve f = -y*s - 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 23077 (b) 5\/2 (c) 17\/4 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*t**5 + 301*t**2.\nAnswer: -1440*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44844 and 48?\nAnswer: 179376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 0.1, -6, 1.1, 3\/22, 2\/13 in decreasing order.\nAnswer: 1.1, 2\/13, 3\/22, 0.1, -1\/8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000018184 rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**3 + 222*w**2 + 8*w + 60. Give t(37).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -38. Suppose -13 = n*a - 43. What is the remainder when 17 is divided by 21\/2*a\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (46\/(-161))\/((-22)\/14)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*m**2*p**2 - 3433*m*p**2 - 19817*p**2 - 1 wrt m?\nAnswer: 22*m*p**2 - 3433*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 13. Let f be n(13). Let a(g) = 3*g**2 - 2 - 2*g**2 + 5*g + f - 6*g. What is the lowest common multiple of 11 and a(-3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1095 divided by -5.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79\/3 + -26. Let n be (33 - 22) + (0 - 16). Let d = -205\/4 - -51. What is the nearest to m in 0, d, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from rssezesrerrprcp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/60 + 7\/70?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112 + 111.875. Let v = -5.875 + s. Let n be (2\/(-6))\/(51\/18). Which is the closest to v? (a) n (b) -0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 - b**2 + 119*b**4 + 4*b**2 - 7 + 180*b**4 + 22*b**4 wrt b?\nAnswer: 7704*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1480 + 1189. Suppose -36*t + s = -19*t. What are the prime factors of t?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 + o**4 + 0*o**3 + (-o + o + 2*o**3)*(5*o + o - 4*o) - 2*o**4 + o**3 - o**3 - 124*o**4 - 529 + 529 + (o - o - 2*o**2)*(4*o**2 - 2*o**2 - o**2).\nAnswer: -123*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157 divided by 4101.\nAnswer: -157\/4101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472442?\nAnswer: 2, 53, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - q - 1. Let n(c) = 27*c**3 - 17*c**2 - 5*c - 7. Determine 5*k(g) - n(g).\nAnswer: -27*g**3 + 12*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3.22, -0.5, 0.5 in increasing order.\nAnswer: -3.22, -2, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 + j. Let y be v(-1). Factor u + 0*u + u**3 + 9*u**2 - 11*u**y.\nAnswer: u*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 16*b + 19*b - 3*b - 1 + 12*b. Is l(1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1493 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1020383, 1020382, 1020381?\n\"Answer: -p + 1020384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13439 + -0.13439031614. What is o rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2067*q + 39913 = -59361 - 21063 - 1616 for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 646539*t + 4525822.\nAnswer: -(t - 646546)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(13\/2))\/(v*v**(-8\/9)*v) assuming v is positive.\nAnswer: v**(-101\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5840\/21 + -278. Put n, -7, 0 in decreasing order.\nAnswer: n, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.79073 rounded to 1 dp?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 1\/28*c**4 + 0*c + 0 - 1\/210*c**5 + 0*c**3 + 5*c**2. Factor q(g).\nAnswer: -2*g*(g - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gibfzqfz. What is prob of sequence qbf?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44182754 + 10363*d + 44182754)*(1 - 2 - 3) to the form x*d + q and give x.\nAnswer: -41452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+0.0323\nAnswer: -0.2677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2308091*d**3 + 33 + 1154049*d**3 + 1154045*d**3 - 33.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36125?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3846940 is divided by 262.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20272*-299\nAnswer: -6061328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.9 - -12.7. Let o be 6\/(-4)*2 - -1. Put o, i, 0.4 in increasing order.\nAnswer: o, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/22 + 282\/22. Let j(v) = -y*v - 12*v + 26*v + 11. Let n be j(-8). Solve 3*m + 17 = 2*s, 17 = -n*s - 0*s - 4*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4257434 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 193 in -3, 5, 0.4, 4, -417, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 14*o**2 - 4*o - 220. Give u(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -1) + -2 + -11 + 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*g**2 + 22*g + 62*g**2 + 3*g**3 + 7*g**4 - 2 - 17*g - 2*g**3 to the form v*g + k*g**3 + n*g**4 + h*g**2 + a and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1509390 and 112716?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185 divided by -37.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 + t**2 - 1 + 2 - 1. Let i be r(-1). Suppose -7 - 6 = v - 3*s, -i*v - 3*s + 25 = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -3\/28, -2 in decreasing order.\nAnswer: 1\/2, -3\/28, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80269 + 79883.21. What is l rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 8*d**2 + 24*d + 58. Let s be v(-6). Let m = s - -976. List the prime factors of m.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2865943 + -0.259217\nAnswer: 2865942.740783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151 - 150. Let z be (-32732 - y)*(-72)\/24 - -1. Round z to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -194 + 1361\/7. Let o(u) = u**2 - 4*u. Let i be o(4). Suppose -c - 5 = i, 263 = -5*y + 4*c + 38. What is the common denominator of y and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + 12 - ((-7 - -1) + 31 + -37)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 + 53*c + 23. What is the remainder when s(8) is divided by 730?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/14)\/(2\/(-4)). Let l(a) = -8*a + 1. Let u be l(s). Let m = 15 + u. What is the remainder when 13 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmk when three letters picked without replacement from cwcmkkcckc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43.108 + 0.108. Let r = -24 - l. Let b = r + -19.5. Put -1, -0.01, b in increasing order.\nAnswer: -1, b, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1470530 and 53\/427483071?\nAnswer: 4274830710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/2569869 and 64\/63?\nAnswer: 17989083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1685110, -1684725, -1684340?\nAnswer: -1683955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23468 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 110.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 86\/6619495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**5 - 64*b**4 - 440*b**3 = 0.\nAnswer: -22, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/211709963 and -34\/2149?\nAnswer: 1481969741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, c: 1, b: 3, z: 1, d: 1}. What is prob of sequence bdbb?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 7513?\nAnswer: -9\/7513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*y - 6 = 84*y. Suppose 4*k - z + 64 = 237, -141 = -3*k + y*z. What is the greatest common factor of 42 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (11 + -2 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7\/2)*z**(-24)*z**(-9)*(z*z**6)\/z assuming z is positive.\nAnswer: z**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 308 and 454?\nAnswer: 69916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6*9 + (-15)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/560*(-8)\/24*-21.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 + 7.09. Let u = 4 - f. What is the third smallest value in -2, -1\/12, u?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14035.72 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**3 - 101*v**2 + 36*v + 203. Let l be d(-34). Solve -183*f = -l*f - 288 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -21. Let l be z\/(-12) + (-8)\/(-48). Let u(i) = -5*i**3 + 2*i**2 - i. Determine u(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-396)\/330)\/(19\/((-380)\/(-3))*(-7)\/2)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + i + 1. Let f(l) = -3*l**3 - l**2 + 104*l + 4. Calculate -f(g) + 3*n(g).\nAnswer: 3*g**3 - 2*g**2 - 101*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-7) + 2)\/(3417\/119 + -29). Solve -r*m = n + 3, -2*n + 10 = -5*m - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 10 - 6)*(p + 284 - 297 - 3*p).\nAnswer: 14*p + 91","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166589 is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 4:15 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2269\/2 + 1165. What is the common denominator of t and -71\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7488 or -3092451\/413?\nAnswer: -7488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**2\/13 - 4686200*m\/13 + 4686198\/13 = 0.\nAnswer: 1, 2343099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 5*r**2 + 3. Let t be y(-5). Suppose 0*l + t*l = -63. Let v = 41 + l. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**5 + y**3 - y**3 + (-4*y + 8*y + 4 - 5*y)*(-2*y**4 + 0*y**4 + 0*y**4) + 26*y**5 + 16*y**5 - 63*y**5 + (3 - 3 - 2)*(-3*y**5 + 2*y**5 + 0*y**5).\nAnswer: -14*y**5 - 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) -506 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41797863 - 11557873. Suppose -b = -q + 7560005, 8*b + 2*q = 4*b - n. What is b rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4))\/((-42)\/112). Let d = -4.93 + -0.07. Let o be (-15 - -6)*3\/9. Which is the closest to -1? (a) d (b) o (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 1210*r - 708*r - 502*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/1)\/3*1. Solve u + x*o - 8 = -o, 5*u - 5*o = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 9:57 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 342\/18*(3 + 0\/6). Calculate the highest common factor of 5206 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 2, w: 2, x: 12, d: 1, z: 2}. Give prob of picking 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -91, -366, -825, -1462, -2271, -3246?\n\"Answer: p**3 - 98*p**2 + 12*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 78855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from piogqgql. Give prob of picking 1 i and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1609, -1476, -1255, -946, -549, -64?\n\"Answer: 44*a**2 + a - 1654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12\/5)\/(i**(2\/41)*i*i))**(-2\/15) assuming i is positive.\nAnswer: i**(608\/1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (150\/21)\/(560\/(-4704))*(-1 + 0)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -35.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 370850507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 214*r + 5. Let j be c(-3). Let t = -504 - j. List the prime factors of t.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8103554.\nAnswer: 2, 1553, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 45299\/(-1746) + (-33)\/594\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.6 (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -76814784 divided by 19203696?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 46 = -9. Let a = 62 - d. Solve 3*g - 25 = 4*j - 5, -5*j - 4*g - a = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 0*a + 1\/15*a**5 + 0 + 15*a**2 - 10\/3*a**4 + 200\/3*a**3. Factor c(y).\nAnswer: 4*(y - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/b**(-2\/91))*b*b*b**(-8)*b*b assuming b is positive.\nAnswer: b**(-366\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1 - (-3 - ((-20)\/4 - -4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.152, -3, -1265?\nAnswer: -0.152","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/(-50))\/(6\/5). Let t = -0.224 - -1.824. Which is the second biggest value? (a) p (b) 3\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 137462 and 70018?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 7)\/((-33)\/11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 + 6*k**4 - 3*k**4 + 4*k**3 - 4*k**3 - k**4 + (-k**3 + 0*k**3 - 22*k**3)*(k - 2 + 2).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**2 - 202536*b - 3418402608 = 0. Calculate b.\nAnswer: -33756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*h - 160, h + 76 = 2*s + 15. Suppose s = 2*q + 13. Calculate the remainder when ((-12)\/(-15))\/((-3)\/(-90)) is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78064571225 minus 18?\nAnswer: -17.21935428775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1622748.089955 - 0.48.\nAnswer: -1622748.569955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 6\/5, -6, 3\/4, 5, 6, 0.1.\nAnswer: -6, -0.04, 0.1, 3\/4, 6\/5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 38*p**2 + 136*p - 581. Calculate k(8).\nAnswer: 2939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from pehhphhehphhehhehc.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 2)\/((-1)\/(-2)). Suppose -3*p + 5 = 2*p - 5*b, 4*b = j*p. Factor 3*g**2 - g**p - 2*g + 0*g.\nAnswer: 2*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65287 is divided by 74.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.154098 - 0.154. Round t to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.2, -4, -2\/11, 4 in increasing order.\nAnswer: -4, -3.2, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -124.99 + 125. Let x = 0.39 + c. What is the third biggest value in -2\/13, x, 2\/11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 8*y**3 + 4 + 4*y**3 - y - 3*y**3 + 3*y + (y + y + y)*(-3*y**2 - y**2 + 2*y**2) + (5*y - 2*y - y)*(6*y**2 - 14*y**2 - 12*y**2).\nAnswer: -37*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 182876 + 365755 - 182877 + 19*x.\nAnswer: 20*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 12, 19, 26?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t + 3*k = 30, -2*k + 10 = 0. Suppose -t*r + 1332 = -778. What is the remainder when r is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 2, i: 1, l: 1}. What is prob of picking 1 i and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 s when three letters picked without replacement from vbss.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (765\/(-2125))\/(2\/25)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-30420)*-65 + (-236)\/18 + (-25 - 6).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4a (base 12) to base 2\nAnswer: -111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 376\/11 in 5\/1622, -0.4, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422 divided by -3?\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001011 (base 2) in base 12?\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 78*l + 1722. Calculate a(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v - 2. Suppose -3*c = 2 - 5. Suppose -c = 2*w + 7. Calculate p(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07 + 19.07. Let f = x + -15. Let m(y) = -y - 1. Let u be m(3). What is the third smallest value in f, -1, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/4054448 and -95\/4881342.\nAnswer: 741963984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/(-54*77\/41580)*(-2)\/(-42)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -857, -866, -875, -884, -893?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -177 - -315. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2712 or 2713?\nAnswer: 2712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*4\/((-16)\/(-9)). Suppose 25*k = 11*k + 70. Let q(n) = 8*n + k*n + 5 - r*n. Let w(d) = d + 1. What is 2*q(c) - 9*w(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 29. Which is the nearest to -2\/3? (a) r (b) 2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 22*o**2 - 35*o - 81. What is v(20)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353 - c + 164 + 190.\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/7388 and -39\/736?\nAnswer: 1359392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155336.\nAnswer: 2, 19417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -2. Let d = f - -8. Suppose 2*p + 3*y - 14 = 0, -4*y = -d*p + 5 + 30. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7\/x*x\/(x**(1\/7)*x))\/(x\/(x\/(x*x*x**(-5)*x*x))*x*x*x*x\/(x**5\/x)) assuming x is positive.\nAnswer: x**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 26. Suppose -22*x - 3 = -z*x. Solve x*o = -4*w - 10 + 1, 5*o = 4*w + 17 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4270 - 2?\nAnswer: -4272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 19*o = 462. Suppose 17 = g - 4*m, 0*m = m + 4. Calculate the lowest common multiple of o and g\/((-3)\/(-51)) + 1.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18223 is divided by 212.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3759410223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, 17, 0 in decreasing order.\nAnswer: 18, 17, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3151896512 to the power of 1\/2, to the nearest integer?\nAnswer: 56142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10119760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 18. Calculate g(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1317*s**3 + 54859187*s**2 + 1314*s**3 - 54859187*s**2.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) + (-3)\/20. Let y = -7 + 7. Which is greater: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 14*r**2 + 6*r + 9. List the prime factors of j(7).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69131046 - 8167917?\nAnswer: -77298963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 321507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 7*g + 10. Suppose -3*w - 27 = -3*v, 3*w = 2*v + 5*w - 2. Suppose -8 = -v*l + 2. Calculate the smallest common multiple of l and t(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-19) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 286.067 - 0.067. Let z = w - 285.5. Which is the third smallest value? (a) z (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1638 - 1623. Solve 4*s + r + 16 = 0, -5*s + 4*r - 5 - i = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, k: 14}. What is prob of sequence ll?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(6\/5)*k**(8\/5) assuming k is positive.\nAnswer: k**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1330130 - 213?\nAnswer: -1331003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by -19\nAnswer: 39\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -273 + 275. Suppose -2*y - 2*w = o, y - 4*y - 4 = 4*w. Solve 2*u + 3*u + 20 = y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6192189, -6192197, -6192205, -6192213, -6192221, -6192229?\n\"Answer: -8*m - 6192181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/5 + 1008*n\/5 + 7203\/5.\nAnswer: -3*(n - 343)*(n + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/5 - 12\/5*s**2 + 12\/5*s = 0. Calculate s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -265*i**3 + 228*i - 183312 wrt i.\nAnswer: -795*i**2 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 16 = -0*m - 2*m, -2*s = -8. Suppose g + m = 3*b + b, -4*g = 2*b - 8. Suppose -b*l = -9*l + 95. Calculate the remainder when l is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 437789.56\nAnswer: 1751158.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21805, -21801, -21799, -21799?\nAnswer: -21801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 555 + -578.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -4*i + 4, k - 84 + 91 = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 - -3) - (-5 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhhshmvmhsg. What is prob of picking 1 v and 2 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 36, -1.3, -28, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 1 = -1. Suppose c - 2 = o, -3*c - 128 = 5*m - 34. Calculate the remainder when 1\/(5\/m)*-4 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1094 - 1099. Let j = -0.1 + 0.1. Let m = j - 0.4. What is the third smallest value in m, -2\/19, x?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 0.0383.\nAnswer: -4.0383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in 310, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**3*k + 658*c**3 + c**2*k**2 + 129*c**2*k with respect to k.\nAnswer: -3*c**3 + 2*c**2*k + 129*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27 + 156*p**2 - 24*p - 37*p + 61*p wrt p?\nAnswer: 312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 7) to base 3\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9864824124401\/7287 - -1353756567. Let g = d - -26\/347. Find the common denominator of -8\/33 and g.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + h**2 + (-4 + 4 - 6*h)*(-h + 3*h + 0*h).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + -67 - (28\/2 + -2 - -5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 189071\/21 + -9005. Let g = y - 1\/21. Which is the third biggest value? (a) 11\/4 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-220)\/42 + 5 + 16\/28. Factor -1\/6*f - z*f**2 - 1\/6*f**3 + 0.\nAnswer: -f*(f + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 897790 divided by 179558\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2404091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -132072, -264146, -396216, -528282?\n\"Answer: 2*x**2 - 132080*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 35 - 20 = 0. Is 5 a factor of ((-3834)\/12)\/9*(3 - k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1096 and 28362973.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 4)*(5 - 1 - 2)*(5*x - 4*x - 1 + 0*x)*(4 - 4 - 1) as p + a*x and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/4007 - 4001\/12021. Which is the closest to 1? (a) -0.1 (b) m (c) 15\/4 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 4 + 5 - 12 + (5*v + 0*v - v)*(-1 - 4*v + 1).\nAnswer: -17*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(8\/5)*i**(-31))**49 assuming i is positive.\nAnswer: i**(-6958\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 3*y**2 - 4*y - 3. What is the remainder when 33 is divided by i(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a (base 11) in base 3?\nAnswer: 10122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/8*20\/(-15))\/((-2238)\/(-48117)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 - 29 = -l, 2*a - l - 31 = 0. Calculate the remainder when 82 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8838790?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l = -51*l + 25, -3*k + 2*l + 1028 = 0. Calculate the least common multiple of k and 8.\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**5 - 5*u**4 + 77*u**2 + 5*u. Let f(a) = -a**5 - a**4 + a. Let l(t) = 10*f(t) - 2*h(t). What is the third derivative of l(z) wrt z?\nAnswer: -1080*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -3, 3, -22\/7?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-72)\/15)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -194 + 78. Let j = d - -582\/5. What is the second smallest value in -0.1, j, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431581.\nAnswer: 431581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o + 20*o - 3*o)*(4 - 2 + 1 + (1 + 2 - 4)*(-1 + 2 + 0) - 1 - 2 + 10).\nAnswer: 216*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 - -52\nAnswer: 52.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 + -1.6. Let v = r + 2.5. Which is the biggest value? (a) 4 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 633*q + 3790. What is y(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 10:44 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 3, w: 13, g: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b - 8. What is the lowest common multiple of s(6) and 6\/(-1 + (2 - 0))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 143 - -18687?\nAnswer: 1881a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11524813.\nAnswer: 41, 181, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d**3 - 7*d**2 - 6*d**3 + 18*d**2 - 8 + 8*d. Let h(j) = -2*j**3 - 7*j**2 - 5*j + 5. Let t be (12\/(-10))\/((-12)\/(-80)). Calculate t*h(z) - 5*k(z).\nAnswer: z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z + 278 = -2*b, 3*z + 10406*b - 34 = 10404*b for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 4 + 1, 8*i - 9 = 17*i - 6*i + 2*u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123644035 - 1366767?\nAnswer: 122277268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + -32 + (2 - (0 + -12))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a**2*s**3 + 2*a**2*s - 15*a*s**4 - 12*a*s**2 + 2*a*s + 92*s - 12 wrt s.\nAnswer: 42*a**2*s - 180*a*s**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -60733*j - 45914150. Give s(-756).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 125?\nAnswer: 7\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14 + 115\/(-35) - (-32 + 26).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 54*b**3 + 39*b**2 + 75*b - 193. Let c(h) = 13*h**3 + 10*h**2 + 19*h - 48. Let r(y) = -25*c(y) + 6*o(y). Solve r(u) = 0.\nAnswer: -14, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/v**(-2)*v*v**(2\/13)*(v**(-8)*v*v)\/v)**(-22) assuming v is positive.\nAnswer: v**(2530\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 56667 (base 14) in base 7?\nAnswer: 1532460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 4. Let p be x(-4). Suppose -3*m + m + 436 = p. Suppose -4*f - 8 = 0, 6*z - 2*z = 3*f + m. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -65, -188, -371, -614, -917?\nAnswer: -1280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 24 + 11 = 0. Suppose -x = g + 3*l + 1, -2*g = -5*l - 39. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20\/25*-2*45\/18 + 883 is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((32\/20)\/(-1))\/((-4)\/(-1030)). List the prime factors of -2 - 1 - 1 - c.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3145, -6625, -10447, -14605, -19093, -23905?\n\"Answer: i**3 - 177*i**2 - 2956*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2176 + 3694. What is the remainder when g is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 8:46 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**4 - 7*s. Let k(v) = -15*v**4 + 28*v. Let m(h) = -9*b(h) - 2*k(h). What is the second derivative of m(y) wrt y?\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.2 - -0.8. Let g = z - 36. What is the smallest value in -0.5, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 64450.43 micrometers?\nAnswer: 0.00006445043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*a + 4*a, 4*m - a = 400. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 4:25 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4032?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, k: 2}. Give prob of sequence kbbk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -130 - 85. What are the prime factors of u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 74\/(-26)) + 28\/13. Suppose -a*y + 3 = h, 2*y + 3*h + 4 = -3. Factor -9*s + 4*s**2 - s + y*s**2 + 2 + 0.\nAnswer: 2*(s - 1)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150197?\nAnswer: 150197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 3:09 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242164 is divided by 80675.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25, 34, 75, 166, 325, 570?\n\"Answer: 3*h**3 - 2*h**2 - 6*h + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 4*h + 30 = 0. Let j = h + 15. What is the units digit of (-7)\/(j - 1\/14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11100020 + -12?\nAnswer: -11100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -4 - -4)\/(84\/16 + -5). Let b(o) = o**2 + 37*o - 163. Determine b(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4124\/28 + (-4)\/14?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18361398*-48.\nAnswer: 881347104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojo when three letters picked without replacement from {j: 7, o: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42641 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: List the prime factors of 1162730.\nAnswer: 2, 5, 116273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 19*g**2 + 22*g + 37. Let z(j) = 4*j**3 + 56*j**2 - 68*j - 110. Let u(b) = 10*c(b) + 3*z(b). Find a such that u(a) = 0.\nAnswer: -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 a when three letters picked without replacement from {k: 3, a: 4, g: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 185320.8357 to the nearest one hundred.\nAnswer: 185300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-11)\/(v*v**(1\/14)*v*v))**39\/(((v**8*v)\/((v*v\/v**(-2\/7))\/v))\/((v*v*v\/v**1)\/v)**1) assuming v is positive.\nAnswer: v**(-1111\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/17 or -1182842?\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 919 + -649. What is the greatest common divisor of 450 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/504 and -43\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1402*540\nAnswer: -757080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 52402, -909, -5 in decreasing order.\nAnswer: 52402, -5, -909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3552 >= 3554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 187939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/10405143 and 111\/11561270.\nAnswer: 104051430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)*a*a*(a\/(a\/((a*a\/(a\/a**(-1\/5)))\/a)))\/a)**(-36) assuming a is positive.\nAnswer: a**(936\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7400*v - 5 = -5*u - 7397*v, v - 5 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-3) + 1 + 10\/(-3). Let m be 29*a\/16*-4. Suppose 2*n - j - m = -n, -n + 5*j = -5. What is the lowest common multiple of n and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 9. Let b be 16\/12 + (-2)\/(-3). Suppose -8 - 10 = -b*s. Calculate the greatest common divisor of l and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + -2.3. Let m = 1.7 + s. Let j = -70 - -69.5. What is the closest to m in j, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1922*h**5\/3 + 5828*h**4\/3 + 1157*h**3\/2 - 11653*h**2\/6 + 373*h\/6 - 1\/2 = 0. What is h?\nAnswer: -1, 1\/62, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/16 - (-1)\/1. Let h = 39\/56 + x. Is 1 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10d09e (base 15) to base 8\nAnswer: 3041107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i - 5. Determine y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22722950*z**4 - z**3 + 195949167*z**2.\nAnswer: 545350800*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, b: 3}. Give prob of picking 3 b.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12\/47181184723 + -2209974949132634537\/47134003538277. Let d = 46887 + t. What is the common denominator of d and 21\/2?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 0.2, 2\/7, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272.7338 millimeters to kilometers.\nAnswer: 0.0002727338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48 times -0.2802?\nAnswer: 0.134496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10017 - 4847. Let p = d + -3464. Suppose -p = -2*u + 4*v, 7*u + 5*v - 4340 = 2*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 46573885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 771 + 24437?\nAnswer: 250a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2846.\nAnswer: 2, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7743675 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiviivia. What is prob of picking 3 i and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 128\/256*-12*1\/(-1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -30. Let g = 14 - 25. Let l = g + d. Are l and 1\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -1. Let a(o) = -4*o + 1. Let l(q) = 66*q + 66*q - 115*q - 3. What is u*a(i) + 2*l(i)?\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 495 and 560727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 10*q**2 + 12*q + 12. Suppose -4*y = -9*y - 40. Let c be m(y). Is c\/(-7)*35\/(-10) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 9*f**2 + 69 - 4*f**2.\nAnswer: 5*f**2 + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2944 and 2976752.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 2725487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 54 = -2*s - 2*p, -3*s = 3*p - 54. Suppose 0*r = -r - 6. Let q be s\/(r\/(-8) + 0). Solve 4*m - 3 = 2*c + 17, 3*c + q = 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2 - 3*p - 5502*p**2 - 79330*p**2 + 80*p**2. Let w be a(-2). What is w rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {v: 2, j: 1, e: 1, z: 5, d: 2, k: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -40001 (base 6) in base 14?\nAnswer: -1c65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 50.2. What is l rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 5*t + 7889, 14*o = 16*o + t - 7871. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 201*y + 6 - 3.\nAnswer: 201*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**5\/17 + 688*q**4\/17 + 704*q**3\/17 - 4804*q**2\/17 - 8958*q\/17 - 4140\/17 = 0?\nAnswer: -2, -1, 3, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 11:23 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 - (-950)\/(-275))*11. Sort -4, -16, s, -2, -1\/2 in descending order.\nAnswer: s, -1\/2, -2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2590 and 96250.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g*g)**(-1\/7)*((g*g\/(g\/g**(14\/5)))\/g)\/(g\/g**(-5)) assuming g is positive.\nAnswer: g**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 2534\nAnswer: -5\/2534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -167637, -167199, -166761, -166323, -165885?\n\"Answer: 438*n - 168075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139374 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 229638977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 3*q + 3. Let w(i) = i**2 + i. Let y(f) = m(f) + 2*w(f). Let r(z) = 6*z**2 - 3*z + 6. Let k(d) = -2*r(d) + 5*y(d). Is k(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1494*w + 2 + 1198*w - 2716*w.\nAnswer: -24*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppdpppppdp. Give prob of sequence dd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, t: 6, d: 1, e: 1}. Give prob of picking 4 t.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49146?\nAnswer: 2, 3, 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from gstysypsysyytyyt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 + 2*p - 4. Let a(t) = -15*t**2 + 7*t - 13. Calculate 2*a(q) - 7*s(q).\nAnswer: 5*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*c + 3*i, c + 0*c - 5*i + 12 = 0. Suppose -3*r = -4*k + c, -4*k = 4*r - 5*r - 15. Solve 0 = 5*d - 2*s + r, 4*s = 4*d + 6*s - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-12))\/((-1)\/4). Suppose h = a*i - 208, -h + 116 = 3*i - 6*h. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1160071487 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 1, 2, 3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150847810.\nAnswer: 2, 5, 131, 115151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 y, and 2 g when four letters picked without replacement from igigigyiiiigg?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*m + 150, m = -2*n - 3*m - 86. Let i = n - -60. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from eeadoeekdekkd.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u + u - 10*u - 3*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2645*d**4 + 326*d**3 + 5602478.\nAnswer: -10580*d**3 + 978*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 123cc4 + -3?\nAnswer: 123cc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f = 0. Suppose f*m + 5*m = 0. Let i = 44 - 28. Solve 0 = -4*t - m*t - i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z + 3*z - 54. Is 22 a factor of 523\/z + (-2)\/(13 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1055522 and 1040.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 + 97*s + 776. What is the remainder when q(-9) is divided by 184?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 9:32 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d + 2*d - d)*(1 - 5 + 2) + (4*d + 0*d - 3*d)*(2 + 1 + 1) - 5*d - 4*d + 4*d.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1 - 5 = 0. Let j be 375\/(y + (-57603)\/28800). Round j to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -2, -5, 3, -41 in ascending order.\nAnswer: -41, -5, -2, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5 - 47. Let j = x - 32. Let q = j - 18. Solve -9 = -a - q*p, -p + 20 = 4*a + 3*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-765)\/(-850))\/(2\/110) and 27\/644.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66285 is divided by 231.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -25*l - 30 + 126. Solve -4*n - 4 = 0, 4*n + 8 = -2*i + l*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 13*x - 80 = 0. Find the common denominator of (-6)\/(-4) + x\/(-45) and -55\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2704168539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 83756776 at most as big as 335027101\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -11. Suppose 30 = -j + p*j. Let l = -1 + 91. Calculate the highest common divisor of l and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*p - 2*s + 122, 5*p = 2*s + 299. List the prime factors of p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 8*o**5 - 4446*o**4 + 651520*o**3 - 9336522*o**2 + 20369880*o + 5686200 = 0.\nAnswer: -1\/4, 3, 13, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 9. What is the third derivative of 3*x**6 - x**2 + t*x**2 - x**2 - 6*x**6 wrt x?\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**7\/35 + g**6\/180 - g**4\/24 - 161*g**3\/6 - 29*g. Let q(i) be the second derivative of a(i). What is q(-1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 - 2*g + 48*g**3 - 47*g**3 + 4*g**2 - 3*g**2 in the form k + j*g + b*g**2 + o*g**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + x + 5. Let f be u(0). Suppose -4*y - 3*j = -16, f - 1 = y + 2*j. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -612 by -306.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 5:47 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/64*(-504)\/(-14) and 11\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 27)*(13\/6 - 2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*m + 56*m = -32. Calculate the least common multiple of m and 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207544981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7141*l + 11. Let i(t) = 3563*t + 5. What is -4*c(o) + 9*i(o)?\nAnswer: 3503*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 2*z**2 + 17. Let o be m(-4). Let a be (-3)\/5 + o\/(-25). Put 2, 4, a in increasing order.\nAnswer: a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 4*a + 1. Let u be l(-4). Suppose 5*r + u = 146. Let m(t) = -t**3 - 3*t**2 + 8*t + 6. What is the remainder when r is divided by m(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-1*7\/14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 39711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t + 3. Suppose 43*m - 18*m - 6875 = 0. What is the common denominator of -83\/12 and (t - m\/(-40)) + 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7575 and 606.\nAnswer: 15150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*n - 270. Let o = n - 53. What is the highest common factor of o and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*o + 356, 132*o + 172 = 2*q + 136*o. What is the greatest common factor of 1012 and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - 4*w + 0*w)*(3*w**2 + w**2 - 2*w**2) + 5*w**3 + 0*w**3 - 4*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -2*b - 2*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6694506 divided by -1098.\nAnswer: 6097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*g + 2258 + 3059 = 273. Calculate the highest common factor of 2314 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 148*n**2. Let i(t) be the first derivative of 2*t**2 + 3317. What is k(i(h))?\nAnswer: 2368*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2187 + -2139. Let w = 68 + 364. What is the highest common divisor of j and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2094 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -66758?\nAnswer: 1\/66758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2284 divided by 4.\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 963*r + 4374 = -498*r + 297*r - 4938 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 280.315466 rounded to 0 dps?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.661779 times 423\nAnswer: 279.932517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32458 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120 + -11?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 8*u + 2*u**3 - 13 + 16 - 8*u**2. Does 10 divide t(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = -68. What is the remainder when i is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -41\/4, 2\/5, -16\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*2*4)**2.\nAnswer: 9408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52372?\nAnswer: 2, 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6 - 16 + 41 + 29 - 42*f + 78. Let v be k(3). Let s(y) = y**2 + 4*y - 5. Let c be s(-5). Solve p + v*p - 5 = c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110001101111101 - 101000101?\nAnswer: 1010110001000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 9 = -4*k + 24, 2*k = 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 7*u + 3. Let x be d(-7). Suppose -x*k - 6 - 2 = -o, 3*o + 5*k = 10. Let t = -0.01 - 1.99. What is the closest to 0 in o, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 10*k**4 + 2*k**3 + 4*k - 4. Let w(r) = -8*r**4 - 2*r**3 - 3*r + 3. Let g(x) = 2*v(x) + 3*w(x). What is the second derivative of g(c) wrt c?\nAnswer: -48*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.15 and 3543490439332.\nAnswer: 3543490439332.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 22?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 - (-2 + 1 + 3). Suppose 3*z = z. Suppose -2*l - 55 = -5*b, z*b - 55 = -5*b - 4*l. Solve 0 = 5*q + 2*f + x, 5*q - f + 2*f = -b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 550089178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 - -8)\/(-7 + 3 - 28443\/(-7111)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (72\/54)\/((-12)\/(-99)). Let l be (1\/4*0)\/(-1). Suppose c - 17 = -l. Is i < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*j + 14, u + 18*j - 18 = 13*j. Let t be ((-340)\/15)\/2*6\/u. What is the highest common factor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007558 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*m - 115 + 15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (5 - 29)\/((-4)\/22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) - -2*sqrt(343)) + 0 + sqrt(343))**2 - sqrt(343) - ((sqrt(7) + (sqrt(189)\/sqrt(3) - sqrt(7)))**2 + -1)) + 1.\nAnswer: -7*sqrt(7) + 5427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, d: 2, f: 3}. What is prob of picking 3 p?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c = -16 + 37 - 226 - 55 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02557166 to 5 dps.\nAnswer: -0.02557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*d - 1 = 5, -2*p + 3 = -d. Let n = p - -2. Let k(a) = 2*a - 2. Let m be k(n). Solve -m*f + 3 = -3*w - 4, -5*w - 16 = f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/6*-12*1\/(-10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -215 (base 7) to base 13\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/130347 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114508?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 56*l**2 - l + 56. Give s(56).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6114 + -833. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2268\/(-4284)*(-17)\/(-2)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a hour in minutes?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {d: 1, f: 6, c: 2, b: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*j + 487550, 143*j - 5 = 142*j. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*i**5 + 4*i**4 + 38*i**3 + 4*i**2 + 23878965*i - 1.\nAnswer: 820*i**3 + 48*i**2 + 228*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**4 + 3*b**4 - 4*b**4 + (-4*b + 15*b - 8*b)*(-2 + 3*b**3 + 2) as u*b**4 + d*b + c*b**2 + k + l*b**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4041 >= 6078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*f - 5. Let v be (-5)\/((-3480)\/138) + (-1)\/f. Let z = 17 + -17. Which is bigger: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 l when four letters picked without replacement from {l: 2, m: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xusxmxvxvssw. Give prob of sequence xu.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -576 + 622 + -17 + -1\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*r - 2)*((2 - 1 + 2)*(-1 - 2 + 1) + (-3 + 1 + 0)*(-10 + 13 + 7)) + (5*r - 4*r - 2*r)*(1 - 4 + 0) as v*r + j and give v.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -46 - 332. Suppose 11*d = 13 + f. Let q(v) = -v**2 + 7*v - 6. Let c be q(5). Sort -1, c, d, -4 in descending order.\nAnswer: d, c, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**3*r**2 + 2095*b**3*r + b**3 - 6*b*r**2 wrt r?\nAnswer: 2*b**3 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/420 and 67\/12345284.\nAnswer: 185179260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 175 - 2*y**5 - 175 + 9*y**4 + (-10*y**2 - 15*y**2 - 20*y**2)*(-2*y**3 + 2 - 2) - y**5 + 0*y**5 + 2*y**5.\nAnswer: 89*y**5 + 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5666 - -5933. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 + 3*q - 3. Let c(s) = 10*s**3 + 4*s - 21 - 8*s**3 + 18. Let z be 12\/10*(-20)\/8. Give z*c(b) + 4*g(b).\nAnswer: 2*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 - 151. Let w = -22.84 - s. Is w >= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 16*a**3 + 2 + 9*a**2 - 1 - 2*a - 8*a**2. Let o be m(1). Factor -14*u + 17*u + o - 3*u**2 - 10.\nAnswer: -3*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-163719)\/18 - -4)*(10\/(-6) - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 858110104 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2 - 3059*p + 40269. Calculate c(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5376289 = -149*u + 108*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18039, 36077, 54115, 72153?\n\"Answer: 18038*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 115601 and 264273758.\nAnswer: 264389359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 57717, 57706, 57689, 57666?\n\"Answer: -3*k**2 - 2*k + 57722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s - 5*j = 36 - 3, -6*s + 97*j = -s + 67*j + 40 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/3 - 63316*u**3\/3 - 126635*u**2\/3 - 21106*u.\nAnswer: u*(u - 63318)*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + (-6 - (3 + -6)). Let u(d) = -10 - h*d + 2*d - d + 1. Let p be u(-6). Solve -w - 5 = -p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -216 by -6.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/26*2\/(-20)*-2.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = f. Suppose -2*y - 3*y + 3*m = -53, -3*y - 4*m + 55 = f. Let d = y + -8. Solve 0*w = -4*w - j - 1, d*w - 4*j + 17 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)*-2*3)\/(sqrt(176)*3) + -3 + (sqrt(192) - ((4 + sqrt(192) + sqrt(192) - sqrt(192))*1 + sqrt(192) + sqrt(192))).\nAnswer: -33*sqrt(3)\/2 - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 8\/31, 1.05, 0.3, -3?\nAnswer: 8\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**5 + 4380*j**4 + 17560*j**3 + 26360*j**2 + 17580*j + 4396.\nAnswer: -4*(j - 1099)*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-40)\/(-32))\/((-2)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 991 - 4*s**2 - 963 - s**2 + 4*s**2.\nAnswer: -s**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*c**2 - 14*c**2 - 4*c**3 + (-1 - 2*c + 1)*(0*c**2 + 0*c**2 + c**2) + 3*c**3 - 3*c**3 - c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -24*z**2. Let s(n) = -465*n. What is s(q(g))?\nAnswer: 11160*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230997 is divided by 53.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q + 32. Let w be k(14). Let f(a) = -a - 10. Let s be f(w). Suppose -5*v - 3*v + 8 = s. Solve -3*z - 2 - v = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 241?\nAnswer: 2651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405184862.\nAnswer: 2, 2803, 72277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -1\/840*g**7 + 22*g**2 + 0 + 0*g + 5\/96*g**4 + 1\/1344*g**8 - 1\/120*g**5 + 1\/8*g**3 - 1\/80*g**6. Solve l(n) = 0 for n.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x + 8. Let r be (-4)\/(-5) + 16\/x. Which is the closest to 2? (a) r (b) -2\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2*i + 142 - 428, -2*i - 580 = -4*b. Let o = 214 - b. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, q: 2}. Give prob of sequence qiqi.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -2*h - 4*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 5*v**2 - 6*v + 1. Let g(x) = x**3 + 5*x**2 - 7*x + 2. Let c(n) = -5*g(n) + 6*w(n). Let j be c(-5). Which is greater: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 10694*d**2 + 53512*d - 42816.\nAnswer: -2*(d - 4)*(d - 1)*(d + 5352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2236, -8 in ascending order.\nAnswer: -2236, -8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4600 + 0)*4800\/500. What is p rounded to the nearest 1000?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 + -68 + -1 + (0 - 2). Is p bigger than -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 - 41 = 3*o. Find the second derivative of 50 + 6*j**4 - j - o wrt j.\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/11)\/l)\/l**23)**(1\/17))**19 assuming l is positive.\nAnswer: l**(-5054\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21419, -22098, -22775, -23450?\nAnswer: -24123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -534*p**3 + 1629*p**3 - 77*p - 524*p**3 - 1617 - 548*p**3 wrt p.\nAnswer: 69*p**2 - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7723 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: b\"What is the wth term of 30638, 61274, 91910, 122546, 153182, 183818?\n\"Answer: 30636*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 16. Suppose -c*p - p = -99. Is p a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -1\/8, -0.4, 1715 in decreasing order.\nAnswer: 1715, -1\/8, -0.4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 and 293137.\nAnswer: 5862740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37\/84 + -3\/28. Let d be -3*8\/6 - -1. Let t = -1\/100 - 6\/25. Sort a, d, t in ascending order.\nAnswer: d, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 151 + -112. What is the highest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11c1 (base 16) in base 13?\nAnswer: 20b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y. Suppose 4*j - 7 = -3*j. Let f(t) = t**2 + t. Let m(n) = -2*n**2 - n. Let i(x) = j*f(x) + m(x). Calculate i(o(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -78 at least -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1108801 is divided by 221756.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/5154 and -44\/30255?\nAnswer: 51978090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**3 - 2*c**3 + 3*c**3 + (3*c + c - 2*c)*(c**2 - c**2 + c**2) as a*c**2 + d + o*c**3 + f*c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -52158 divided by 452?\nAnswer: -26079\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -155, -153, -147, -137?\n\"Answer: 2*u**2 - 4*u - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + f = 6, 5*j - 27*f = 19*j - 18*j + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1219*i**3 + 8*i**2 + 1093*i**3 + 992*i**3 - 8*i**2.\nAnswer: 3304*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i**2 + 3*i - 4. Calculate h(3).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*j + 2*j - 176 = 0, 5*g - 207 = -3*j. What is the tens digit of g - (-6)\/(1 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and -0.3?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 146 + -68. 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 625 minutes before 10:38 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 171.091 + -171.2. Which is the biggest value? (a) 4\/7 (b) m (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2068316261 rounded to 4 decimal places?\nAnswer: 0.2068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(110)\/sqrt(10)*-6))**2 + (sqrt(80) + sqrt(80) + -5)*2.\nAnswer: -355\/36 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 118057*o - 29514.\nAnswer: -(o - 29514)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0491 and -11?\nAnswer: 11.0491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - x**2 - 57*x - 153. What is a(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 673790086 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1 + 3 - sqrt(2))**2 + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-3))\/10*2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 56\/(-21)*24\/(-2). Suppose d = 6*b - 2*b. Let s = 27 - b. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742*z + 81740 = 6917*z + 20468 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1 = v. Let j be (-9)\/(-1)*v + 2. Let d = -14 - -91. What is the greatest common factor of d and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*l - 424*l**2 - 21*l**2 - 35*l - 2*l**2 - l**2 + l**2 + (0 - 3 + 2)*(4*l**2 - 5*l**2 + 8*l**2).\nAnswer: -454*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -16544, 1 in ascending order.\nAnswer: -16544, -35, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 20. Let y = b + -5. Let g(o) = 5*o - 1 + 2*o**2 - o**2 - 3 + 0*o. What is g(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = -32. Solve 3*n - 4*y - l = -2*n, 5*n + 1 = -4*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*m - 16*m - 6*m)*(-3 - 4 + 5)*(32*m - 36*m + 53*m)*(-m + 0*m + 3*m) in the form h*m + g + j*m**2 + p*m**3 and give p.\nAnswer: 2940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/10*105\/21. Which is the nearest to -2? (a) -2\/3 (b) i (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -211251*d**3 - 2*d**2 + 3*d + 6. Let g be ((-1)\/(-5) - 0) + 22\/(-10). Let o be v(g). What is o rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 4*z - z)*(1345*z**3 - 249*z**2 - 2695*z**3 + 1348*z**3).\nAnswer: 6*z**4 + 747*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.3, 0.7, 8.623?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j + 33500 = -q, -4*q = 2*j + 13400. Round j to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(208) + 0 + sqrt(208))**2*-6 + (-3 + (sqrt(208) - (0 + sqrt(208))))**2) - (-4*-2*4*(sqrt(208) + sqrt(208) + -1))**2) + 3.\nAnswer: -872921 + 16384*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -207 - -317665?\nAnswer: 317456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7338\nAnswer: 7337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(475) - (sqrt(475) + sqrt(475)*5 + 4)) + -1 + -2)*-3)**2.\nAnswer: 12600*sqrt(19) + 429264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.63 + -17.8. Let q = j + 0.170000775. What is q rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f*f**(1\/4))))\/(f\/f**(-1\/17)) assuming f is positive.\nAnswer: f**(81\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 863433 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 7*c**2 - 5*c + 3. Let i(v) be the second derivative of v**3\/6 + v**2\/2 + 2*v. Let w(b) = 3*i(b) + y(b). Give w(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + p - 100. Suppose -7*b + p = -3*b. Solve 2 = 3*i + l - 12, 3*i + b*l - 34 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -13*z + 2. Let n(t) = -t + 1. Suppose 3*o + 72 = 21*o. What is o*n(f) - v(f)?\nAnswer: 9*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*k, 19*q = 16*q - k + 23 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-56)\/42)\/(4\/(-30507)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2 + (0 + 2 + 0)*(2 + 2 + 3))*(-2 - 1 + 8)*(-4*x - 910 + 910).\nAnswer: -240*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 93. Let l be z(0). Suppose -4*h = 2*f + h - l, 0 = 2*f - h - 87. Calculate the remainder when f is divided by (12\/(-7))\/(2\/(-14)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 298966527\nAnswer: -5\/298966527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3775883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 315\/18*(-2)\/40?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 196590, 196601, 196620, 196647, 196682, 196725, 196776?\n\"Answer: 4*k**2 - k + 196587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 20*g**2. Let k(n) be the first derivative of 28*n**3\/3 - 805. What is a(k(y))?\nAnswer: 15680*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40766 and 1326094?\nAnswer: 22543598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13056 (base 10) in base 9?\nAnswer: -18816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1972984479.\nAnswer: 3, 13099, 50207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202 - -100120212?\nAnswer: 100122121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 10*a**3 + 2*a + 1. Let l be (155\/(-6))\/(-5) + 4\/(-24). Let t be (7 + l + -10)\/(-1). Let p(k) = -k**3 - 2*k**2 + k + 1. Let d be p(t). Give x(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3715894?\nAnswer: 2, 7, 13, 17, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19898059 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, e: 1, z: 3, y: 1, c: 1, m: 1}. Give prob of sequence me.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -17. Suppose 4*p + a = -p + 2, 3*a + 11 = 2*p. Solve -p + w = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 3*y + 6, 17 = s - 3*y + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2\/3*f**2 - 8\/3 - 2*f = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 94534 or 94535?\nAnswer: 94535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2*(-3)\/(-12))\/(9\/1296).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1271)\/(-1476)*-9*4.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 10) to base 14.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)\/(x**2\/x))\/(x**5*x\/(((x**0\/x)\/x*x)\/x)) assuming x is positive.\nAnswer: x**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/210 - 13*h**4\/28 + 38*h**3\/21 + 7318*h**2. Determine l so that x(l) = 0.\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*u + 28, -137*u - 56 = -4*r - 142*u. Solve -p + 3*t = -19, -t - 36 = -r*p + 3*t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -35, 8, 105, 274, 533, 900, 1393?\nAnswer: 2030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1754, 3515, 5262, 6995, 8714, 10419, 12110?\nAnswer: 13787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 - -45. Is r < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 0 + 0*p**3 - 1\/70*p**7 + 0*p**6 + 0*p**4 + 1\/10*p**5 + 0*p + 4*p**2. What is the third derivative of n(f) wrt f?\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -242985*z**3 + z + 2738241?\nAnswer: -728955*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(5)) - 1*sqrt(180))*3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/14033376 and -187\/2923620.\nAnswer: 70166880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*u + 202*u = -687*u - 45264 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - 50. Suppose 36*m = 39*m - r. Solve m*o = 3*b + 3 + 3, 5*b = 2*o - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.77 and -25161.16235.\nAnswer: -25163.93235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 7*s**2 + 6*s + 11. Let k = 74 + -66. Give o(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 + 5*d**2 - d - 3. Let t be b(4). Let c = t + -92. Let a = c - 89. Calculate the remainder when a is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -687 - -672 - (-21 + -3 + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1435, -1426, -1411, -1390, -1363, -1330?\nAnswer: -1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from ccccmncanp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/4)\/6)\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + (-5 - -2) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*f - 49*f + 101*f + 140*f to z + x*f and give x.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 396 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 4:41 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0, -0.06, 0.5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33002 and 123888.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1205, 1248, 1431, 1826, 2505, 3540?\n\"Answer: 12*f**3 - 2*f**2 - 35*f + 1230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 329620.8ns to minutes.\nAnswer: 0.00000549368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*o + 4, o + 2*q + 2*q - 24 = 0. Let w be (18 + -15)\/(6\/o). Let g be 2\/3*(-7 - -10). What is the highest common divisor of w and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101286819 divided by 3\nAnswer: 33762273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b - 57. Let w be y(-10). Differentiate 2*p**2 + 2664*p**3 + 102 - 2718*p**w - 2*p**2 wrt p.\nAnswer: -162*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**3 - 13*k**2 - 1\/12*k**4 + 0 - 1\/120*k**6 + 2\/15*k**5 + 0*k. What is the units digit of z(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p + 9 - 9 + 18*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010100000 (base 2) to base 3.\nAnswer: 11102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 7*d - 4, -v = 2*d + 9. Sort -6, 0, v in descending order.\nAnswer: 0, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 - -87. Calculate the common denominator of -79\/80 and k\/(-3)*(-1391)\/(-104).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = -2*j - 1, -5*z + 2*j = -17. Suppose -z*b + 12 = -9. What is the greatest common factor of b and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 9*v + 12. Let f be i(8). Let u = 90 - 80. What is the remainder when (-117)\/2*f\/(-6) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 15, -28*f + 29*f = 4*o - 7. Suppose 2*n - 25 - 1 = 0. What is the highest common factor of f and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 0) + (-34 - (-131 - -95))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -40*y**3 - 8*y**2 - 5*y + 8. Let p(k) = -27*k**3 - 5*k**2 - 3*k + 5. Let g = -2456 - -2464. Give g*p(h) - 5*s(h).\nAnswer: -16*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + sqrt(2057)*2 + (1*sqrt(170))\/sqrt(10) - (sqrt(17) + sqrt(153) + 5 - sqrt(17))*-3)*-3.\nAnswer: -129*sqrt(17) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (75855\/2649090)\/(39\/(-12))?\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 z, and 1 j when four letters picked without replacement from {l: 11, w: 1, z: 5, j: 2, u: 1}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -11*y**3 + 2*y**2 - 15*y. Let v = -111 - -105. Let q(h) = -5*h**3 + h**2 - 7*h. Calculate v*s(c) + 13*q(c).\nAnswer: c**3 + c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4270004 to the nearest one hundred thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r + 4*r)*(379212*r - 379212*r - 359*r**3) + 0*r**4 + r**4 - 5*r**4.\nAnswer: -722*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1722.214 rounded to the nearest 10?\nAnswer: -1720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 11:36 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4392486 divided by -104583\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, 0.16, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 516239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 0*k. Suppose d - 2 + 1 = k. Let o(g) = 4*g**3 - g**2 + 2*g - 1. Give o(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -11*h + 15. Let w(v) = 5*v - 7. What is -4*k(f) - 9*w(f)?\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -15. Let w(k) = 323*k + 107. Determine -7*p(m) - w(m).\nAnswer: -323*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 2832368?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**5\/30 - 67*v**4\/24 + 21*v**3 - 185*v**2\/3 + 244*v\/3 + 234. Factor l(y).\nAnswer: (y - 61)*(y - 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -1493, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.38 - -0.62. Let f = 2 - 1.7. Let j be 0 - -1 - (-22)\/(-18). What is the closest to j in 2, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3 - 5*r + 1 - 3. What are the prime factors of m(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvywy. What is prob of picking 2 y and 2 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -172.99 - -173. What is the fourth biggest value in c, -4, -2\/11, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111379.\nAnswer: 127, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*y**3 + 530*y**2 - 504*y**2 + 0*y**3 - 10*y**6 wrt y?\nAnswer: -1200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = -s, 2*s + 0*q = 2*q - 4. Suppose -4*v - f = 4, f + 4*f + 20 = -s*v. Which is the nearest to v? (a) -5 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42960 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 2*j - 1. Suppose 0*v + 4*v = -4. Let a be f(v). Suppose -2*u - 3*u + 50 = a. Solve 3*x = x + u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, a: 4, v: 2, l: 3}. What is prob of sequence lkvv?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*q - 1033619 + 5*q**2 - 2*q**2 + 48*q + 1033617 in the form y*q**2 + j + o*q and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 5*c + c + 13.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2 + 1236*m + 2480 = 0 for m.\nAnswer: -2, 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 872776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 2 + i)*(-2*i + i + 2*i) + 427*i**2 - 123*i**2 + 74*i**2)*(5*i**2 + 0*i**2 - 4*i**2) to the form q*i**2 + d*i**3 + n*i**4 + a + m*i and give n.\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 b, and 1 n when four letters picked without replacement from onnxboobobobonbdnnnb?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211012 - 1?\nAnswer: -211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.29.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = j - 1, -o + 3*o - 2*j + 14 = 0. Let c be 3 + ((-4)\/2 - o). Let s = 8 + 4. What is the highest common factor of c and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q - 10*q - 12, 0 = m + 2*q - 15. What is the remainder when 23 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(8 - 1\/(-1)). Let y = h + -35. Is (y\/(-8))\/(2\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.179 and -46005169.\nAnswer: -46005168.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 15*q**2 - 16*q + 7. Let z be 216\/(-14) + 24\/(-42)*1. Determine p(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23896*k + 43188*k - 19286*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.026*2.971.\nAnswer: 0.077246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2279 - -2260. Which is the biggest value? (a) n (b) 2 (c) 1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/(-2) - (-2)\/(-4). Let c = 13 + a. Is 30*6\/9 - c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/3)\/((-1)\/(-1))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 3254\/479?\nAnswer: 3254\/479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -656 = -4*i - 68. Let j = 755 - i. Suppose -5*f + 4*q + 1975 = 0, 5*f + q = -j + 2583. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76084464?\nAnswer: 2, 3, 1585093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 62408*z - 1936570.\nAnswer: 2*(z - 31)*(z + 31235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70709, -70725, -70741, -70757, -70773, -70789?\nAnswer: -70805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 16*f**2 - f + 15. Let t be h(-12). Suppose 9*v - t = 180. Let k = v - 71. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(4 - 9 - -3). Suppose 5*x + k + 2 + 1 = y, -x + k = 3. Put x, 2, -3 in increasing order.\nAnswer: -3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -11 + 10 - 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -20. Suppose 3*m - w = i, -2*m + 2 = -0*m - 5*w. Suppose g = -5*h + 29, -m*g + g = 5*h - 45. Solve t + 17 = -0*t - 3*u, 0 = g*u + 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6317293933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 350791673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 29*i + 127 + 83 = 0. Let j be (-12)\/4 - -3 - -3. Solve 0 = j*v - i*v + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 42. Let r = -18.2 - q. Let p = r + -6. What is the second smallest value in 5, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -2, -1023 in descending order.\nAnswer: -2, -5, -7, -1023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 - 708*v\/11 - 1104734\/11.\nAnswer: 2*(v - 941)*(v + 587)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 8*x = 18 + 11 - 10, -3*x = p - 52 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106699 is divided by 152.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 204\/308 + (-3)\/33. Which is the closest to 0.1? (a) l (b) -1 (c) -0.2 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**0\/j)**6*(j**(-10)*j)**(-23) assuming j is positive.\nAnswer: j**207","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/8 - (-3 + (-4874)\/16). What is the greatest common divisor of b and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g. Let j be o(3). Let c = 3977 + 2375. Suppose -4*b - c = -j*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**5\/20 + f**2 - 2*f. Let w be o(0). Suppose 0*a = -2*a + 8. Solve 0 = n - a*l - 17, -14 = -4*n - 4*l + w*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 708.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/14 + (-288)\/(-56). Suppose -4*q = -o*q + 25. What is the tens digit of (-2)\/10 - (-405)\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00667974 less than -4115?\nAnswer: -4115.00667974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 357004, 714080, 1071232, 1428460, 1785764?\n\"Answer: 38*n**2 + 356962*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from rrgggrgrgggggrgggg.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5249589 or -5249588?\nAnswer: -5249589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1002 - -2382. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + -9.4. What is the third smallest value in -6, 3\/2, f?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3635)\/(-163575))\/((-3)\/((-45)\/(-6))).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 628.\nAnswer: 3140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 5:48 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 14408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*sqrt(1053) + -3.\nAnswer: -54*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.064 times -1232279\nAnswer: -78865.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 40218934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 16 = -8*j. Let s = 3 + 2. Let n = j - s. Let t(z) = -z - 1. Give t(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(45)\/sqrt(3))\/sqrt(3) - sqrt(50)\/(sqrt(40)\/sqrt(4))))**2*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 12. Suppose 4*b - 142 = y*k, -3*b + 4*k - 35 + 141 = 0. Calculate the remainder when b is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4895 + -4890 + -1 + 38?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 - 120 = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23996, 23871, 23680, 23423, 23100, 22711?\n\"Answer: -33*t**2 - 26*t + 24055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28, 0.4, -1\/6, -0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x - 8. Let l be w(-12). What is the highest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dydddaddaady. What is prob of sequence yad?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g - 112. Let d be a(40). Solve d*l = -l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 520, -9, -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3425, 2\/5, -1384?\nAnswer: -1\/3425","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 623 - -6502?\nAnswer: 7225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -2\/11, 8, -1\/3, 0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*(b**(5\/4)\/b)\/b*b\/b**15*b assuming b is positive.\nAnswer: b**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*t - 117 = 0, t - 144 + 1 = 6*n. Does 2 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 - 59. Suppose -y = 9*f - 230. What is the remainder when 77 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-262 + 262 - 34*n)*(-n + 5*n - 3*n) + 0*n**2 - n**2 + 2*n**2)*(5*n**3 - 2*n**3 - n**3).\nAnswer: -66*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 0*r - 200 - 1\/14*r**4 + 4\/7*r**3 - 8\/7*r**2. Determine f so that s(f) = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 0*a - 8 = -a, -3*p + a = 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 29 = 5*y, 28*y - 37*y = 5*o - 8. Put -5, o, -6, 2 in decreasing order.\nAnswer: o, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2476 - 47377.658.\nAnswer: -49853.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 - 6*p**4 - 5*p**3.\nAnswer: -p**3*(p + 1)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2262\/35 + 135447\/385. Let q = 287 - x. Sort -0.2, 0.3, q.\nAnswer: -0.2, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110 + 62 + -2 + 74 + (2 - 44)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = 6. Solve -x*z = -0*z + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Let h be -17 + 50 - (-8 + 9 + (-1 - 0)). Is (-3)\/q*(-56122)\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6525672031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 12:42 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.1 - -100.212.\nAnswer: 93.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 11:16 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 707.7 + -166.1. Round n to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:47 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 0*v + 0*v**6 + 0*v**4 + 0 + 0*v**3 - 13\/35*v**7 - 56*v**2 - 109\/60*v**5. Find the third derivative of w(c) wrt c.\nAnswer: -1872*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16944 and 168.\nAnswer: 118608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4 + 6*(-989)\/(-13932)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -8334.449 - -8330. Let s = 23.4 - 27.8. Let r = c - s. What is r rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 6354\nAnswer: -2\/3177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 4*f - 790. Let w be s(0). What is w rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2 + 1121116*c + 7847714 = 0 for c.\nAnswer: -560551, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a decade in months?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47971*w**3 - 95908*w**3 + 47903*w**3 + 3 - 3.\nAnswer: -34*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (45\/10 + -5)*-4. Suppose 1107 = 11*k - a*k. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 72, 158, 268, 396, 536?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53344 + -53626?\nAnswer: -127172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y**(-1))\/y))\/y*y)**(-1)*((((y*y\/(y*y*y\/(y**(19\/5)\/y)*y*y))\/y*y)\/y)\/y)**20 assuming y is positive.\nAnswer: y**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -22*o**2 - 2660*o - 43. Determine c(0).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -630, -631, -632, -633?\n\"Answer: -u - 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35309827417544017\/103158 - 342288794054. Let b = p + 2\/5731. Find the common denominator of b and -103\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 960 and 14940?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 10 = -3*l. Suppose l*h + 317 = 4*c, c - h = -0*h + 80. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/(q\/((q*q**(2\/9)\/q)\/q)))\/q)\/(q**(-11)*q)*q**(-3\/4)*q*(q**11\/q)\/q)**44 assuming q is positive.\nAnswer: q**(7315\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -11. Calculate the remainder when 4 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 491*o + 26. Let l be 98\/(-21)*(-1 - 2). Let y be k(l). What is y rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 0*c**2 + 0*c**4 + 0*c**5 + 0*c + c**6 - 2 + 1\/3*c**3. Find the third derivative of n(h) wrt h.\nAnswer: 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1540 + 0?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 377\nAnswer: 1\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.321 - -72.171. Let l = 0.65 + t. What is l rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78168606036 - -5.\nAnswer: 78168606041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1)*k)\/k**(2\/5))\/(k**(-1))**(5\/14) assuming k is positive.\nAnswer: k**(67\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358 a factor of 479374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -571 - -576. Let w(p) be the first derivative of -2\/5*p**2 + 0*p + 1\/10*p**4 + 2\/15*p**3 + q. Factor w(r).\nAnswer: 2*r*(r - 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g**2 - 1690*g + 565 = 0. What is g?\nAnswer: -113, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(3\/4*4). Let d = -1\/15 - g. Is d bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/564 and (-132)\/16*(442\/936 + (-2)\/9).\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11100101212121 + 21?\nAnswer: 11100101212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-84)*-3*21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 8*g**4\/3 + 3*g**3\/2 + 41*g**2. Suppose 3*a - 5*r = 14, 2*a + 4*r = -2*a + 8. What are the prime factors of y(a)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 29 - 29 - (11 - 1).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + 2*q**2 - q**2 - 4*q + q**2 + 7*q**2 + 9*q**2 + (-7*q**2 + 2*q**2 + 2*q**2)*(-5 + 2 + 2) + 3 + 3*q**2 - 5 + 0*q**2.\nAnswer: 25*q**2 - 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 67*y**2 + 5*y + 3. Does 69 divide i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 + 1050?\nAnswer: 1048.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-12))\/(2\/(-24)). Suppose -13 = -2*b + b + m*s, -2*b + 78 = 5*s. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3328.2 + -0.08.\nAnswer: -3328.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*r + 2502862 = -49*r - 1379378. What is the ten thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3689 (base 10) in base 14?\nAnswer: -14b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 28*b**2 - 44 + 57 - 55 - b**3 - 21*b. Is m(27) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 10:23 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 - -1.7. Which is the closest to 0? (a) -3 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -135 and 1475360?\nAnswer: 1475495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8078 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 a(i) = -21*i + 3. Let c = -24 - -18. Let g(f) = -10*f + 2. Let h(u) = c*a(u) + 13*g(u). Let v(d) = 9*d - 17. Determine 13*h(b) + 6*v(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000548454897 rounded to 6 dps?\nAnswer: -0.000548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 3. Let n(j) = -10*j**2 + 0*j**2 - j**2 + 26*j - 40 + j**2. Let p(l) = -12*i(l) - n(l). Factor p(f).\nAnswer: 2*(f - 1)*(11*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmj when three letters picked without replacement from {v: 1, p: 2, j: 1, e: 1, t: 1, m: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 + 32 = -2*b - 5*d, 2*d = -2*b + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = -36*o + 40*o, 0 = 3*n + 5*o - 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/160*-8)\/(1*-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -78*c + 156. Let p be v(-6). What is the greatest common divisor of p and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 6:21 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.5. Let z be 3240\/240*(-4)\/6. Which is the closest to -1\/2? (a) -3 (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(26 - 55 + 57)*(-1 + 0 + 2)*(-6 + 3 - 8)*(-5*l + 3*l + 5*l).\nAnswer: 924*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4932118?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m + 1604*m - 45*m**3 + 12*m**3 - 794*m - 788*m.\nAnswer: -33*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -95*c**2 + 290*c + 3. Calculate the remainder when 241 is divided by i(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 2. Let a be b(0). Suppose -3*u + 27 = -4*p, -3*u = -a*p + 7*p. Suppose -29 = -u*g - 9. Calculate the least common multiple of g and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-243)\/(-27)*(16\/4)\/(12\/4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 318.2277 litres?\nAnswer: 318227.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*r*t + 3619*r - 57755*t wrt r?\nAnswer: -7*t + 3619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 403*s + 405*s = 77, -4*t + 60 = 2*s for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-8)*292\/30. Let r = j + -17\/5. Is -2\/39 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-5\/6)\/o*o*o*o)\/(o\/(o*o*o**3\/o*o))*(o\/(o**(1\/4)\/o))**46)**(-28))**(2\/13) assuming o is positive.\nAnswer: o**(-1120\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 4*q + 2*q + 26910. List the prime factors of q.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(2 - 2 + 3*s)*(2835*s - 7395*s + 2841*s).\nAnswer: 10314*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*d - 172, 172 = 4*d - 43*u + 40*u. What is the remainder when 1976 is divided by d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**3 - f**2 - f + 1. Let c(h) = 2*h**2 + h + 14. Let b be c(-6). Let v = b - 47. Let m = v + -32. Calculate i(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, f: 2, l: 9}. What is prob of sequence lsls?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**3 - x**2 + x - 1. Let n be d(1). Let k(w) = w + 0*w - 1 - 2*w**n + w**2. Let v(z) = -2*z**2 + z - 1. What is 6*k(f) - 4*v(f)?\nAnswer: 2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33235 is divided by 129.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbvvvcbccv. Give prob of sequence bbc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 45*o - 30866. Let u(y) = -60*y + 1. Let g be u(-1). What is the greatest common divisor of g and o?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15982681, -15982678, -15982675, -15982672, -15982669, -15982666?\n\"Answer: 3*k - 15982684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + ((sqrt(133) + sqrt(133) + sqrt(133)*-2*-3 + sqrt(133))*4)\/(sqrt(56)\/(2*sqrt(8)) + -1*sqrt(175)).\nAnswer: -8*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**8*r)\/r)\/r**(2\/21))**(-13) assuming r is positive.\nAnswer: r**(-2158\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24722)\/(-6) - 24\/(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43915287 at most 43915274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-105)*252\/90.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.488 and -2.\nAnswer: -2.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, g: 7, t: 5}. Give prob of picking 2 g and 2 c.\nAnswer: 147\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + k + 4*k)*(-3 + 9 + 8)*(-725*k**3 - 107*k**3 - 70*k**3) to the form h*k + l*k**3 + u*k**2 + f*k**4 + g and give f.\nAnswer: -25256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**3 + 2*t**2 + 27*t - 2. Let d(f) = 13*f**3 - 7*f**2 - 80*f + 7. Let j = -16015 + 16022. What is j*z(b) + 2*d(b)?\nAnswer: -2*b**3 + 29*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49629 and 3621?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h**3 - 7*h**2 + 5*h - 87. Let p(s) = -3*s**3 - 3*s**2 + 2*s - 41. What is 5*p(m) - 2*q(m)?\nAnswer: -3*m**3 - m**2 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 451063 from -5.\nAnswer: -451068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 382, 1520, 3414, 6064, 9470, 13632, 18550?\n\"Answer: 378*d**2 + 4*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 253228 and 18212?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2178*q**4 - 2688*q**3 - 680*q**2 + 96*q.\nAnswer: -2*q*(3*q + 2)**2*(121*q - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from {c: 3, s: 7, p: 1, o: 2, z: 6}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7137356 > 228395415\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from upkfkkknueeekekfkkue?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32332*k - 22134 = -32570*k for k.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 782 + -747 + (-2 - 14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 711080203*l**2 - 711080203*l**2 + 5*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 62*u - 31*u to w*u + n and give w.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, f: 12}. What is prob of sequence iff?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6942)\/5785*(-81)\/(-36)*10\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6022 + -5909. Solve -2*b - l = -109 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*z**3 + 891475*z + 7076971 wrt z?\nAnswer: -75*z**2 + 891475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 7)*(-70)\/(-105)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -15*z + 7*z. Solve -j = -z*j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89843, -89825, -89795, -89747, -89675, -89573, -89435, -89255?\nAnswer: -89027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-121068)\/363921 - (-4)\/24*2. Let b = v - 6\/1363. Let c = b + 1633\/8277. Is 1 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2272 divided by -1\nAnswer: -2272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t = -10. Suppose 55*y + 20 = 45*y. Sort y, t, 0, -8 in ascending order.\nAnswer: -8, t, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*l + 227*l + 143147 + 21433 = 1632*l for l.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/((-2849)\/(-968)) + 13?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32410*j + 3079*j + 1922325 = -3700*j for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -2. Suppose 4*f + 516 - u = 0. Is 4 + -38*f\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31015398 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 4388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + 3*(4 + (-1 + sqrt(2736) - sqrt(2736)))*2*3 + -2.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1*6\/18*-1*1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 74\/14 + (-2)\/7. Suppose 3*d = -h - 7, -4*d = h - y*h - 12. Let f(v) be the third derivative of v**5\/15 + v**4\/24 - 2*v**2. Determine f(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 2:00 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/(-8) - 45\/(-60). Let k be 7\/x + (-2)\/1. Which is the nearest to k? (a) 4 (b) 0 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2574 = -11*m + 319. Let f = 521 - m. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54350 and 26000.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(162\/3))\/(96*(-140)\/(-13440)).\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5534, 5533, 5532, 5531, 5530, 5529?\n\"Answer: -f + 5535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -222921 + 223162.726. Let s = 242 - b. Let u = 0.117 - s. Round u to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 782529\/17 + -46031. Let -2\/17*q**3 + 2\/17*q**2 + g*q**5 + 0 - 2\/17*q**4 + 0*q = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(10))\/sqrt(2) + (sqrt(180))**2*3.\nAnswer: -3*sqrt(5) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 5 + 3 + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/15661999 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 5*s - 28, -665007*x + 665006*x - 8 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/17, -176, 0.1 in decreasing order.\nAnswer: 11\/17, 0.1, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 7, p: 6}. Give prob of sequence ppf.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vllllvlllvvlv. Give prob of sequence lvvv.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06513516 less than 11.87?\nAnswer: 11.93513516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ab (base 15) to base 3.\nAnswer: 112022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 1, y: 1, h: 1, o: 1}. Give prob of sequence veo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 453 - 453 - 11*r**5 - 55*r**2 - 47*r**5 + 55*r**2 + 0*r**5 + 2*r**5 + 0*r**5 + (1 - 1 + 2*r)*(-r**4 + 5*r**4 - 3*r**4).\nAnswer: -54*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = -2*j + 7*j + 28. Solve 0 = 149*u - 152*u, j*q - 4*u + 16 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13989 or 1\/2?\nAnswer: 2\/13989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 - 22. Suppose 5*r = -p + 52, 2*r - n = -2*r - 4*p. Suppose t - r = -6. Solve 2 = t*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - -1*(sqrt(68) - (sqrt(68) - 1*sqrt(68))))\/sqrt(4))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 444999?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6178 - 305 = -3*i, 3*q = 9. Calculate the smallest common multiple of 240 and i.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r - 18. Let m(t) = -8*t - 14. Let o be m(r). Suppose 5*p = k + o, -2*p + 2*k + 24 = -k. Solve 10 = 4*w - p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 594 (b) -3 (c) -2 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/8 of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614*s - 578*s - 43*s**2 + 614*s - 650*s.\nAnswer: -43*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -904c - -5?\nAnswer: -9047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 0 + 1\/2*x**2 + 3*x = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, m: 7, t: 1, j: 1, q: 5}. What is prob of picking 1 m and 1 t?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 981 - 985. Which is the third smallest value? (a) 1\/15 (b) n (c) -0.5 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 - 5*k**2 + 3*k. Let g = -27253 - -27255. Let m(j) = -2*j**3 + 6*j**2 - 4*j - 1. Calculate g*m(d) + 3*p(d).\nAnswer: 2*d**3 - 3*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r + 10 - 11 = -1. Sort -1, 2, -4, r, -2.\nAnswer: -4, -2, -1, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8\/25 of a kilogram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -376.406 to zero dps.\nAnswer: -376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56\/67 - 1227\/536. Calculate the common denominator of j and (((-3)\/280)\/(-1))\/(3\/166).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 639061144569*v**4\/2 + 5751553498773*v**3\/2 + 14389436*v**2 + 18*v = 0. What is v?\nAnswer: -9, -2\/799413, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1299, -3, 1, 4, -6, -5 in descending order.\nAnswer: 5, 4, 1, -3, -5, -6, -1299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {v: 4, k: 3, y: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43791521 is divided by 2865.\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j - 60. Let n be f(-16). Let a = -1560\/11 - -11272\/77. Is a < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-2 - (-7 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 95781, 95781, 95779, 95775, 95769, 95761?\n\"Answer: -o**2 + 3*o + 95779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -178 + 348. What are the prime factors of k?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 93*k**2 - 8*k - 9. Let r(g) = -2*g - 61. Let n be r(-29). What is the hundreds digit of i(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b - 122. Calculate n(-30).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(48)\/sqrt(2))\/(sqrt(64)\/(sqrt(8) + sqrt(8)*2 - sqrt(8))) - (5 + sqrt(768)*1).\nAnswer: -18*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 24*t + 72. Give b(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 145 + 147 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 20 = 7*q. Let m = 60 + q. Suppose 6*b = b + m. Is 17\/2 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Suppose m - 5*w = -3 - 1, -4*m - 4*w + 32 = 0. Suppose -9*t = -6*t - m. Solve a = 2*v + 5*j + 29, t*v = 7*v - 2*j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Solve -956*r - 146600 = 1434*r + 542*r for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*6.1\nAnswer: 4.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 18*o - 10. Let j be b(-10). Suppose -z = -3*x + 170, -8*x + 116 = -6*x + 2*z. Let g = j - x. Which is smaller: g or 16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 14. Let t(c) = -9*c - 19. Let b be t(x). Solve l + b = -3*m + 6*m, 0 = -3*l - 2*m - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -513*x**4 + 3*x + 1031*x**4 + 29*x**2 - 517*x**4 - 6*x + 4*x to the form c + o*x**3 + z*x + g*x**4 + y*x**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -2 (c) -5\/2 (d) 5\/1278 (e) 5 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 22*i + 87. What is t(36)?\nAnswer: 879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**3 + 9*g**2 + 8*g + 3. Let v(w) = -2*w**3 - w**2 - 2*w**2 + w**3 - 2*w**2 + 4*w**2 - 1. Let r(j) = -f(j) - 3*v(j). Factor r(n).\nAnswer: -n*(n + 2)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/70 + (-5734)\/20 + 1. Which is smaller: o or -287?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 884 divide 1310088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 2*k**2 + 0*k**2 + 0 - 8 to z + o*k + t*k**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w + 3. Suppose -2*c + 68 = -4*s + 14, 7 = -2*s - 3*c. Let a be d(s). Suppose -10*i + 128 = -2*i. Calculate the greatest common divisor of a and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 + -71. Suppose -l*w - 3*y + 14 = 2, -y + 4 = 4*w. Suppose t - 9*t + 72 = w. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -593520, -593519, -593516, -593511, -593504, -593495, -593484?\n\"Answer: j**2 - 2*j - 593519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2318 and 950.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*j = 9, 4*k - j = -0*j + 23. What is the smallest value in -0.4, k, 5, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*k - 60, -7*d + 3*d + 2*k + 26 = 0. Solve 2*a = 5*a + d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*q**4 - 6 + 2*q + 1 + 11 + 35*q**4 - 4*q**2 - 5 - 4*q**3 in the form c + h*q**2 + v*q**4 + r*q**3 + n*q and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*34.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (3 - -1)) + 0 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 1 - 3. Let m = -2.6 - 8.9. Let i = -11 - m. Which is the closest to 2\/5? (a) w (b) -2\/13 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 129.804 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 + 57. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 25*l**3 + 2*l - 1. Let t be q(1). Let f = 29 - t. Suppose -f*s + 9 = -3*w, -w - 4*w + 2*s = 6. Put 8, 0.2, w in descending order.\nAnswer: 8, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -30. Calculate the smallest common multiple of j and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000490241044 to 6 dps.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6630680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 19*r - 20. Let p = -106 - -128. Calculate the remainder when u(9) is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47796200 a multiple of 3530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.6 - 0.6. Let z = 9273\/7 - 1325. What is the closest to -3.9 in -2, 0, v, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58154617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + sqrt(567)) + 5 + -4)**2.\nAnswer: -72*sqrt(7) + 583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 63*i**3 - 354*i**2 + 201*i - 30 = 0. What is i?\nAnswer: 2\/7, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -765 divided by -3080\nAnswer: 153\/616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**5 - 2126*f**4 + 286190*f**3 - 983140*f**2 + 977856*f - 278784 = 0.\nAnswer: 1\/2, 1, 2, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1073 and 15319517.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/5*126\/189*60\/(-16).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11090869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**4\/11 - 234*h**3 + 1280*h**2\/11 + 3858*h\/11 = 0.\nAnswer: -1, 0, 3\/2, 643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 46 - 24) + -3 + 1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 159, -4263, 0.4 in increasing order.\nAnswer: -4263, -10, 0.4, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(5) + 2 - ((3*(-1 + sqrt(5)))**2 + sqrt(5)).\nAnswer: -52 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27\/5, -0.1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 630 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713510988 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60818327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*q + 168 = -147 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1776 and 144.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqd when three letters picked without replacement from {l: 7, d: 5, q: 1}.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 + 4993.334946.\nAnswer: 4994.534946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/4 + 461199*b**2\/4 - 65475135*b\/4 + 2324188337\/4.\nAnswer: -(b - 461057)*(b - 71)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 288467317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 5*l**2 - 3*l + 6. Let j be p(-5). What are the prime factors of 555\/j + (-4)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6924224, -13848435, -20772640, -27696839, -34621032?\n\"Answer: 3*f**2 - 6924220*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 24 = 2*w, -x + 796 = -w + 408 + 398 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243258 to the power of 1\/2, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwwwrrwwlrwwwwtw. What is prob of picking 2 r?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7368 and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71 + 80. Let u(f) = -6*f + 8*f + 0*f - f + c. Calculate u(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 20*w + 4. Let l be n(4). Let m be (-4)\/22 - 140\/(-44). Suppose -2*x = -5*b + l, 2*x = m - 7. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 373952346.3 to the nearest ten thousand.\nAnswer: 373950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-1)\/((-3)\/12). Let b = m - -4. Let f be ((-1)\/b)\/2*-14. Solve x - c = -3*c + f, 0 = -5*x + 4*c - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -8)*(-1)\/(-21). Put 1\/7, -10\/9, v in increasing order.\nAnswer: -10\/9, 1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 + 15066*k**3 - 45219*k**2 + 30150*k.\nAnswer: 3*k*(k - 2)*(k - 1)*(k + 5025)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56.06 - -56. Let p be ((-1)\/(-2 - 0))\/(-3). Which is the nearest to 2\/7? (a) -3\/8 (b) x (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26*42\/8 + (-6)\/4. Suppose -5*p + 1025 = 3*r, v = r + 2*p - 206. Is 69 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + n**2 + (4*n - 3*n + n)*(4*n - n - n) - n**2 + 2*n**2 - 2*n**2 + 53 - 24*n**2 - 53)*(-3*n**2 + 4*n**2 - 3*n**2).\nAnswer: 40*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8 + 1288*f**2 + 0*f**5 - 1294*f**2 - f - 14*f**5 wrt f.\nAnswer: -280*f**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 11 = 3*m. Let r = 3 - m. Let o = r + 0. Solve o*t = t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 113103570*v**2 - 171775112 wrt v?\nAnswer: 226207140*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2 + 5*o + 11. Let c be x(4). Let y be (-4)\/136*c*(14 - 0). Solve -b = -y*b + 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 2}. What is prob of picking 1 a and 1 v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -22*o - 22. Let z be c(-11). Find the common denominator of (2 + 242\/(-12))\/1 and (-1006)\/z - 1*1\/5.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.357581 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 4) + 6 + 1 + (-104 - -86).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 61 = 4*v + 17, 5*v + q = 26. Let f(l) = 2*l**3 - 8*l**2 + 8*l. Is 16 a factor of f(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 + 3. Calculate n(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (46 - (-4 + 4))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**8*y)\/y*y\/((y\/y**(-3\/5)*y*y)\/y))\/(y**(1\/4)*(y*y**(1\/20))\/y))**(-3) assuming y is positive.\nAnswer: y**(-183\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 16 = -1. Let q = f - -1. Suppose 2*t - 46 = -0*t - 4*k, -4*k - 140 = -q*t. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/4214 and -61\/10?\nAnswer: 21070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2553346 or -102133893\/40?\nAnswer: -102133893\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 3\/(-2)*2. What is the nearest to -0.1 in b, 0.03, 4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 1) + -6 + 0. Which is bigger: -7 or w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1566196552 to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7546)\/2695 + (-3805)\/25?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 2, 0, 5, 519 in descending order.\nAnswer: 519, 5, 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15435 divided by 15\nAnswer: -1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*y**2 - 3\/7*y - 1\/7*y**3 + 0.\nAnswer: -y*(y - 3)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1584 = -7*f - 2*f. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5023 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: How many hours are there in 6.5657043 milliseconds?\nAnswer: 0.00000182380675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 13*h + 2. Let r be 3 - 1 - (1 - 10). Let u be c(r). What is the greatest common divisor of 60 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1063310 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7042 - 6665.8. Round f to the nearest integer.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let j(t) = 3*t - 20. Let f(l) = 2*l - 18. Let v(a) = -4*f(a) + 3*j(a). Calculate o(v(s)).\nAnswer: s + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.132882373 to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.2636 - 103037185.\nAnswer: -103037164.7364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2305886.\nAnswer: 2, 11, 281, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 28*h + 32. Calculate m(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 + m - 2. Let k(y) = -17*y**2 + 3*y - 103. Determine k(j) - 3*n(j).\nAnswer: -29*j**2 - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/7)\/(j\/j**(7\/2)))\/(j**(-1\/2))**(-23) assuming j is positive.\nAnswer: j**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 441117 and 33327.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3528?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 180719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4 + (-231)\/(-154)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3527120252 minus 92201?\nAnswer: -3527212453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 7*v**2 + 2*v - 9. Let q be u(7). Suppose 2*d - 22603 = -q*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -x - 0*x - 178. What is the smallest common multiple of 30 and x?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 3*b + 2. Suppose -3*z - 5*m = 14, 0 = 3*z - 4*z - 3*m - 6. Let o be w(z). What is the greatest common divisor of o and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, h: 2}. What is prob of sequence vvhh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**2. Let v(s) be the third derivative of -s**4\/24 - 7*s**2. Determine v(a(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 42, -4 in decreasing order.\nAnswer: 42, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 4. Suppose 13 = -4*r + 3*r. Let l be 2\/r + 6\/39. What is j(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/6)\/(6\/12). Suppose -10 = 5*q, -p*u + 8 = -2*q - 2*q. Suppose -15*y + 13*y + 20 = u. What is the smallest common multiple of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.25?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/23)\/s)**20)**(-24) assuming s is positive.\nAnswer: s**(10080\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n**2 + 33*n + 110. Let i be w(-9). Which is bigger: -753 or i?\nAnswer: -753","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -223\/3 - -74. Let s = 41 - 36.6. Let u = -4 + s. Is u at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108745377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/4*(-4)\/3. Let v = -120 - -99. Let j be -2*(v - 7\/(-1)). Calculate the greatest common divisor of j and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -60.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by 3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(5 - (-582)\/(-117)). Let h be 1\/((0 - 1)*(-3)\/o). What is the third derivative of 25*s**2 + h*s**2 + 13*s**3 - 12*s**3 - 4*s**3 wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.101882 + 0.102. What is o rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2308*b**2 + 11530*b**2 - 2308*b**2 - 2312*b**2 - 2306*b**2 - 2304*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 886 - 872. Suppose -38 = -2*d + 44. Calculate the remainder when d is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3225 and 21629.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 39*c**2\/2 + 17. Let o(m) = 2*m**2. Give s(o(q)).\nAnswer: 78*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 445, 5, 1, -842?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g\/(((g\/g**2*g)\/g)\/g))*g)\/(g\/(g**2\/g))*g**(-2\/5)*g*g**2 assuming g is positive.\nAnswer: g**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2 + 2*i**2 + 6*i**2 + i**2. Let w(v) = -2*v. Calculate w(g(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 2256540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 42, -5, -70, -159, -278?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1123 + -2043. Let w be (23\/g)\/(1\/(-3)). Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -22*p**5\/5 + p**4\/4 + p**3\/3 - 205*p**2 + 3*p + 1048. What is the second derivative of k(i) wrt i?\nAnswer: -264*i**2 + 6*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from uuunvouououuno?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 994 + 1088 = 13*x, 0 = -3*x + 2*g - 28 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 2*u + 4. Let h(j) = -2*j**2 - j + 3. Determine h(r) + k(r).\nAnswer: -r**2 + r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 221601*k + 221604*k - 105, k - 35 = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.55, 1\/6, -418?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 0*a**2 - 277 + 277.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**3\/6 + 3*y**2\/2 + 198*y. Let f(g) = 3 + 3*g + 14 - 10. Let u be f(-5). Give w(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 183, 27.\nAnswer: -1, 27, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z - 6. Let h(f) = f**3 - f**2 + 2. Let o(a) = 46*a**3 + 7*a**2 + 4*a - 11. Let w(b) = -6*h(b) - o(b). Is w(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 708 and 177.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + s - 12. Let d(x) = -x**2 - 6. Let c(a) = 7*d(a) - 3*h(a). Let l be c(6). What is the units digit of -2*2 + l\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*a + 5. Suppose 3*c + 5 = a*c. Let v = 95\/44 - 21\/11. What is the nearest to 2 in v, 4, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -180 + 222. Suppose 3*s = -2*s + 5*y, -16 = -4*y. Suppose 2*o = -4*m - 3*o + 22, -5*o - b = -s*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -z, -23 = -u - 4*z + 15. Suppose -h + u = -181. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10188 or -10187?\nAnswer: -10188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104590, -209171, -313752, -418333, -522914, -627495?\nAnswer: -732076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 334*x - 185*x - 175*x. Let f(j) = j**2 + 24*j. What is d(f(k))?\nAnswer: -26*k**2 - 624*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*t - 3 - 4, 2*t - 4*f = 0. Suppose -t*j + 5*j = -141. Let n = j + 74. What is the remainder when n is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40936 a multiple of 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/7 - 2\/(-7). Suppose i*h = 3*h - 165. Suppose 3*r + 15 = 4*r. Calculate the greatest common divisor of h and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*y = 175, -66 = -5*m - 5*y + 374. List the prime factors of m.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125073 divided by 8.\nAnswer: 125073\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 = -5*a + 4, -q + 5*a - 16 = 0. Suppose 3*h + 0 = l + 2, 3*l = h + 2. What is the closest to h in 6, q, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -825444 divided by 6?\nAnswer: -137574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -154, -151, -148, -145, -142?\n\"Answer: 3*t - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, a: 3, x: 3, e: 1, o: 2, v: 1}. Give prob of picking 1 a, 1 f, 1 e, and 1 v.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*y - 150 = -38*y. Does 17 divide (y\/(-18) + 2)*366 - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(4\/(-372)*3). Let g = z - -118. Is -41\/7 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1513 + 2?\nAnswer: -1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1040*n + 418*n + 620*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -73. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*v - 35, 6*q - 4*v - 16 = 4*q. Solve 4*f + q = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3424 is divided by 699?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 128120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21024701 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**4\/20 + m**3\/5 - 3*m**2\/10 - 2*m. Determine f so that w(f) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 7. Suppose 2*z - y = -4*f, 2*z + 2*z - 16 = 0. Suppose f = 4*u - 0 - 24. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -493 divided by 8.\nAnswer: -493\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -10*k - 12. Let w = 17 + -23. What is the tens digit of m(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 + 63*o**2 - 1664*o - 7531. Give l(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 - -96.7. Let t = f + -32. Round t to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.000175 - -3. Round j to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*t - t**2 + 10*t**2 - 32*t**2 wrt t?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21085, -84296, -189619, -337036, -526529?\n\"Answer: 3*b**3 - 21074*b**2 - 10*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/(-1*9\/(-18))*-13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/7 (b) -2\/11 (c) 2 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1132, -2263, -3394, -4525?\nAnswer: -5656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4616151755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5.8, 65, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 11:09 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 17*b - 11. Let o be y(16). Suppose o*r - 224 = 6. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 4) + (10 + 154\/55 - 8)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y - 3*y - y)*(-551 + 197 - 913 - 1045) - 3 + 3 - 2*y + y - 1 + 1 + (2*y + 2 - 2)*(-1 + 1 - 2) + y + 0*y - 3*y.\nAnswer: -4631*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -165 + 10. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(1152))*5 + sqrt(1152))*6 - (3 + 2 + sqrt(1152) + -1)) + 0.\nAnswer: -4 + 840*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3, 0.01984205?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/5892 and -103\/12?\nAnswer: 5892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 15. Suppose 3*g + 18 = 5*x, 0 = -v*x + 5*x - 3*g - 12. Suppose 221 = 2*t + n, -t + 219 = t + x*n. List the prime factors of t.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3))**(-10)\/(q*q\/(q**1\/q)*q)**(-37) assuming q is positive.\nAnswer: q**(313\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, -971, -2151, -3823, -5987?\nAnswer: -8643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-4)*1\/2. Let u = 583 + -583.02. Let a = -5.6 - -6. What is the second smallest value in i, a, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 569.3611 meters?\nAnswer: 569361100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2282\/1395?\nAnswer: 2282\/1395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 2)*(-2 + t + 2) - 3*t + 9*t - t - 1 + 3 + t + t)*((-t + 0*t - t)*(-2 + 2 - 2) - 4*t + 6*t - 4*t + 2*t - 3 + 3 - 5 + 3*t + 5).\nAnswer: 63*t**2 + 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17) + 0 + 1 + -2)**2 + (sqrt(1224) + (-2*sqrt(1224) - sqrt(1224)) + sqrt(1224))\/((sqrt(32) + sqrt(2))*2).\nAnswer: -23*sqrt(17)\/5 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 8*r + 12. Let t be o(-9). Suppose -5*j = t*c + 2*c - 975, -c = -4. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -395*j**2 - 405*j**2 + 797*j**2. Let l(h) = -8*h**2 + 1. Determine c(l(u)).\nAnswer: -192*u**4 + 48*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 846*r = -849*r - 6, -3*r - 3 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19991272*o - 19574811 with respect to o.\nAnswer: 19991272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifws when four letters picked without replacement from iwfrsoo.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-2)\/(238\/(-78) + (-4 - -7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -8 + 3*x**2 + 2*x + x + 0*x - 2*x**2. Give f(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1439364 and 97905.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-2 - -1) + 17 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14902808 is divided by 1862818.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrnrrwrwrrr. What is prob of picking 2 n and 2 w?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(91)*-2*3)\/(sqrt(14)\/((sqrt(8)*2)\/sqrt(4))).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -9150\/179617?\nAnswer: -9150\/179617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -282b + -5c3?\nAnswer: -3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35644225\/564 - 63199. What is the common denominator of o and -32\/235?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570905439 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: In base 15, what is 359 + 13?\nAnswer: 36c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-20)*(193152\/8)\/2. Solve -3012*d + o*d = -36 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6310635 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 11:33 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 1\/3*n**4 + 8*n + 0 + 0*n**2 + 0*n**3. Let q(p) = -11*p**2. Give q(s(x)).\nAnswer: -176*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 9*c**2 + 16*c + 18. Let q be n(-7). Solve -4*j = -5*r - 16, -2*j - q*r + 5 = 23 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7. Let r(w) = w**2 + 1. What is -3*m(y) + 21*r(y)?\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.112219 to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v + 4440 + 36983 = 0. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6975, -27741, -62343, -110775, -173031?\nAnswer: -249105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96801 is divided by 6793.\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(56)\/(sqrt(800) - (sqrt(800) - -2*sqrt(800))) + -5)**2 - -4*-6*(sqrt(252) - sqrt(252)*1)*1.\nAnswer: sqrt(7) + 40007\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 7:48 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3101383 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 24 = 0, -86*o = -83*o + 5*l + 52 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 6*t - 2. Let d = -63 - -58. What is w(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147120 divided by 6\nAnswer: 24520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.561 and -527?\nAnswer: -295.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 4*t**2 + 2*t - 6. Let i be b(4). Let d(m) = m**i - 3*m + 0*m**2 - m - 7. Suppose 3*l = -l + 20. Calculate d(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244.19 times 0.0774\nAnswer: 18.900306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -21*f. Let u(n) = 3*n. Let g(t) = -2*p(t) - 15*u(t). Let o(w) = -5*w. Determine o(g(q)).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 3*d**2 - 10*d - 3. Calculate u(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/978810 and 2\/3099565?\nAnswer: 18597390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 45*w**2 - 412*w - 537. What is c(10)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, o: 2}. What is prob of picking 3 h and 1 o?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16184170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14769664 divided by 3584\nAnswer: -4121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 2:32 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*c**3 + 91*c**3 - 26*c**3 - 30*c**3.\nAnswer: -47*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 3\/4, -181, -54, -2\/9, -10\/9?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1818566327.\nAnswer: 67, 1259, 21559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*p - 485 - 711. Suppose -61*n = -p*n - 105. Let v(b) = 5*b + 19. Let w(u) = -3*u - 13. Let a(f) = 5*v(f) + 8*w(f). Determine a(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 452112 - 0?\nAnswer: 452112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**2. Let p(n) = 14*n**2. Calculate -6*p(t) - 17*q(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.136*0.3\nAnswer: 0.0408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8516.963 minutes to milliseconds.\nAnswer: 511017780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (0 - -2)) + (4 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 52\/5 - 54\/5*w + 2\/5*w**2 = 0.\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*p + 611 = 2291 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77913*c + 7*p = 77909*c - 65, -4*p - 56 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 16*m + 25. Let g be j(17). Let n(k) = k**3 - 7*k**2 - 9*k - 6. Calculate n(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 74364 - -23?\nAnswer: 74407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -30, 1, -0.2, -23 in decreasing order.\nAnswer: 1, 3\/8, -0.2, -23, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.42946 decades to millennia.\nAnswer: 0.0842946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -311\/240 - 3\/80. Which is the second smallest value? (a) -5 (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (0 + 4) - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**4\/12 - k**2\/2 + k. Does 4 divide a(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 5:36 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**4\/12 + 390*h - 25. Let o(u) be the third derivative of 9*u**4\/8 - 2*u**2. Give s(o(c)).\nAnswer: 729*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 36895*t**2 - 7500245*t - 7463345.\nAnswer: 5*(t - 7577)*(t + 1)*(t + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c. Let v(i) be the third derivative of 3*i**4\/8 + 8*i**2. Calculate j(v(w)).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 217436*g**4 - 22289*g**2 + g.\nAnswer: 5218464*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 804856 is divided by 2074.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 2*r + 2*r + 6. Let v be i(0). Suppose v*x = x + 15. Solve 0 = x*w - 11 - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -18. Let a(k) = k - 10. What are the prime factors of a(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021981862 rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2 + 9*b + 15. Let m be z(4). Let o(h) = h - 8. Let q(f) = -f + 15. What is m*q(k) + 5*o(k)?\nAnswer: 2*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -5 + 1 + 7 - -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*z - 36 = -0*r, -4*r = -4*z - 72. Let t be 9 - (3 + 3) - -11. Is t\/(-3)*-13*r\/12 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3323571.\nAnswer: 3, 331, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -30, -68, -110, -150, -182, -200?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -869*s + 33*s - 6021*s**3 + 6022*s**3 + (-4*s - 2*s + 4*s)*(0*s**2 + 0*s**2 + 2*s**2).\nAnswer: -3*s**3 - 836*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 529 - 355 = -68*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (27\/(-6))\/(6\/(-56))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 18 - g + 20.\nAnswer: -g + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1996, 1874, 1750, 1624, 1496, 1366, 1234?\nAnswer: 1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d - 7*d + 9*d + 1. Give v(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*q + 2*q + 5238, -3*c + 5*q = -15692. Let h = c + -47054\/9. Calculate the common denominator of -83\/6 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (31*(-3 - 0))\/1. Let s = -151 + 88. Let v = s - p. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/4))\/o)\/o*(o\/(o**0*o))\/o*o**(-50)*(o**(1\/15))**(1\/4) assuming o is positive.\nAnswer: o**(-776\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2668 or 2665?\nAnswer: 2668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 0. Solve 0 = 2*w + 4 - n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5170641 and 224.\nAnswer: 165460512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 7:34 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + i = -167, -19 = 3*t + 5*i + 102. Let s = -83\/2 - t. Factor 1 - 5\/2*a**3 + 9\/2*a**2 + s*a**4 - 7\/2*a.\nAnswer: (a - 2)*(a - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((297\/15)\/(-11))\/((-2)\/(-38)*(-348)\/580)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2*g = -g - 12, -5*c - 14*c + 8*g = -7*c + 4*c - 176 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -23. Let v(n) = -n**2 - n - 1. Let t(f) = 7*f**2 + 6*f + 6. What is q*v(h) - t(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 4*g - 16. Determine o(-7).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 375233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*x**2 - 42*x**2 + 10*x**2 + 11*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.03 and 194677.\nAnswer: 194676.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 7*f**2 - 6*f + 8. Let u be o(6). Suppose -u*j = 5*n - 3*j - 170, -j = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/(-21) + 1)\/(68\/119). Let t = -4\/219 + 166\/1095. Sort t, 0.4, y in descending order.\nAnswer: y, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - 12. Let v = -72 - z. Let s = 2 - v. Does 25 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 68*w**2 + 70*w - 8. Give c(-69).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10204 + 0.16?\nAnswer: 10204.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/441 + 1\/14*2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 l when three letters picked without replacement from {l: 4, i: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 43 = -3*d - 0*d, d = 5*v + 27. Let h be 3 - (4 + (14 - 3)). Let q = 17 + h. Solve q*x + 29 = g, -x - g + 4*g = d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/(-175) - (-2)\/35. Sort -3, z, 9.\nAnswer: -3, z, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -243011334 + 420?\nAnswer: -243010414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -245, 3, -0.2, -0.062836?\nAnswer: -245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 p when three letters picked without replacement from bpppbpbpppypppbbby.\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**4 - 220*x**3 - 9820*x**2 - 18720*x = 0.\nAnswer: -26, -2, 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**2 + 3*s - 3. Suppose 0 = 14*i - 28*i - 6 - 50. Let u(a) be the first derivative of -2*a**2 + 4*a + 5\/3*a**3 - 4. What is i*w(r) - 3*u(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*h - 6 + 2 = 0, -2*z - 12 = -2*h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.19131mm to micrometers.\nAnswer: 39191.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81508 (base 10) to base 16.\nAnswer: 13e64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50155922 is divided by 364?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -202?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 13. Let v(r) = -r**3 - 7*r**2 - r - 10. Let g be v(-7). Which is smaller: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5c (base 14) to base 11.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5015*x + 5099*x + 2772 = 0 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3878 + -3877.89. What is the third smallest value in 10, 1\/8, l?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -417 != -516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 37174 (base 8) to base 9\nAnswer: 23843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*m**3 + 3*m**2 - 161?\nAnswer: 90*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 4*i**2 - 7*i + 21. What is h(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 10*d**3 - 7*d**2 - 4*d - 4. Let j(a) = -29*a**3 + 22*a**2 + 11*a + 11. Let b(o) = -4*j(o) - 11*p(o). What is the third derivative of b(k) wrt k?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 9243083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163232593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - -9 - (0 + 1). Let g(d) = 25*d**2 - d + 1. Let c be g(2). Calculate the greatest common factor of c and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*y + 4, -4*y = -3*o + 4 - 0. Suppose 2*u - u = o. Let s = u + 16. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -246 + 27959?\nAnswer: 27713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 31827115.8683 from -1.\nAnswer: -31827116.8683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*q + 260, 2*d = d - 4*q - 65. What is the units digit of (-3325)\/d - (-2)\/(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -f + 2, f = -2*f - 4*n - 14. Let o be f + 8*(-18)\/(-68). Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + a**2 + 1 - 2 + a**2 + 5*a + a + 68*a**4 - 69*a**4 in the form l + b*a + s*a**4 + c*a**2 + q*a**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 4646.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 (base 12) in base 5?\nAnswer: -3240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 8:40 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**3 + 2*h**2 + 3*h. Let q(s) = -3*s - 2. Let g(k) = 4*p(k) + 9*q(k). List the prime factors of g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2744509\/42 + 65342. Find the common denominator of -119\/12 and f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z + z + 3 - 5*z)*(-4*z + 4*z - 4*z) in the form c*z**2 + s*z + o and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Let z = -555.3 + 584. Let u = 29 - z. Which is the closest to 1? (a) t (b) u (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 + 75 = 17*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -125e2 + 4c?\nAnswer: -12595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -617 (b) -1\/45 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3\/23 - 548*c**2\/23 + 37538*c\/23 = 0.\nAnswer: 0, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2147436507 to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/19 - 283888*i**2\/19 - 87579800*i\/19 - 6747296864\/19.\nAnswer: 2*(i - 142252)*(i + 154)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-18)\/3 + -21. Let y = -6 - p. What is the highest common divisor of 24 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 11*z + 16. Suppose -z*o = -1369 - 2219. Suppose 5*p - o = 2*v, -673 = -4*p + 5*v + 48. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8593*n - 6909*n = 171768 for n.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 156 + -151. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 236506 and 236506 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -97171, -194345, -291519?\n\"Answer: -97174*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -41. Which is the biggest value? (a) -2\/3 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18226, -36533, -54850, -73183, -91538, -109921?\nAnswer: -128338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51843 = 1716*n + 1441*n + 36553 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 230603300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 722944109680 + 722944109680.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.304 - 7.7831. Round z to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2 + 0*q - 3 + q. Let g(h) = -2*h**2 + 21*h - 31. Suppose v + 3*c = 3*v - 12, -2*v = 2*c - 22. Let w be g(v). What is p(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g + 2*g + 2*g)*(-3 - 6 - 1)*(4 - 1 - 2) to y + o*g and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4025 - 80551\/20. Calculate the common denominator of 14\/49 - (-1334)\/280 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3 - (-1 + -4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 22*h = -43*h + h + 122. Let s = 1 - -1. Solve -h*r = 3*o + s, 3*o - 3 - 1 = -5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-21)*(-14)\/7)\/((-72)\/(-28))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63050 divided by -6305.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41*-15.7.\nAnswer: 643.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -65 + 23 + (3 - -33)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g + 37. Suppose 5*j - 83 = 4*z, -j + 20 = 2*z - 5. Let d be t(j). Let a(b) = -b**2 - 1. Let w(h) = -7*h**2 + h - 4. Give d*w(i) + 6*a(i).\nAnswer: i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n = -4*y, 4*y = 5*n. Suppose 0 = -y*p - 2*p - 4*a + 10, -3*a = 6. Calculate the remainder when 25 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6181?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7)*w\/w**(-3\/11))**(-10\/19) assuming w is positive.\nAnswer: w**(-1200\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/66)\/(9*12\/162).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.5, -3\/5, 0.5, -0.10149?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.1, -5\/2, -2\/75, 2\/27?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 4)*(1 - 0). Let g(j) be the second derivative of -j**5\/20 - 5*j**4\/12 + 5*j**3\/6 - 5*j**2\/2 + 2*j + 7976. What is g(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3.177629ng?\nAnswer: 0.000000000000003177629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4552898*o - 4552893*o + 9105774*o.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**3 + 7*m**3 + 5*m**3 - m**3 - 4*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 10:41 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**3\/2 - h**2 + 54*h. Suppose 0 = -3*p - p + 16. Let t be l(p). Solve -2*q = 2*g - t, 4*g + 0*g = 2*q + 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) 0.4 (c) -2 (d) 1 (e) -54357\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (0 - 50 - (-565 - -550)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.992 - -0.108. Let n = o - 11. What is the second biggest value in -0.5, -3, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 3:59 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from kbkbkkbkkbbkubbkb.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 - (6*40\/(-144))\/5*3.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -25*d**2. Let w(t) be the second derivative of 2*t**4\/3 - 726*t. Calculate w(f(p)).\nAnswer: 5000*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1336455258 to the nearest integer?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i = -18*i - 1188. Suppose -i*n = -97*n - 4. Solve -o + 2*s + 2 - 11 = 0, 0 = n*o - 2*s + 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4*-1 + 184\/160 and 62\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b + 235103 + 64381. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/9 - 2\/9. Let g = -116 - -117.1. Which is the closest to 0.1? (a) 0.4 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 + 212541*u - 637624\/3.\nAnswer: (u - 1)*(u + 637624)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2349897?\nAnswer: 3, 11, 71209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -j - 86, -20*o = -29*o + 6*o - 4*j + 74 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27757349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -5, -0.07, 54, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-145)\/(-15) + -10)*-1. Sort -1, n, 4\/5 in descending order.\nAnswer: 4\/5, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 16 = -2*b - 9*v, 3*b - 4 = -v. Solve -4*g = -3*k - 2*g - 5, b = -2*k + 4*g - 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.2 (c) -5\/972\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a15633 - -2?\nAnswer: 1a15635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 3. Let a(d) = -3*d + 4. Let r(s) = -3*a(s) + 4*b(s). Let n(w) be the second derivative of -1\/6*w**3 + 0 + 5*w + 0*w**2. Calculate n(r(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 665599 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 946 + 1?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -11. Suppose 2*u + a = 4*u. Suppose u*f - 37 - 225 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 158 = -l. Does 24 divide (30\/25)\/((-159)\/l + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139540345 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6562 divided by 386.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 51666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 50 - 299 = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.123*0.1\nAnswer: -0.0123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4677b2 (base 15) in base 11?\nAnswer: 199a431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -44\/3. Let n(g) be the first derivative of 0*g + o*g**3 + 0*g**2 - 1. Let k(w) = 4*w. What is n(k(p))?\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 6*u**2 + 10*u + 25. Let b be r(-5). Suppose -5*n - 11 + 1 = b. Let j(k) = -3*k**2 - 3*k - 2. What is j(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -12*l - 10. Is -3\/8 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5748 greater than -5749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 616840 a multiple of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 q when three letters picked without replacement from {z: 7, r: 1, q: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 1\/2, -2\/3, 15, -0.4.\nAnswer: -71, -2\/3, -0.4, 1\/2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 757.678 rounded to the nearest ten?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 11:13 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.9954 millimeters to meters.\nAnswer: 0.0309954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1001042 - 42034?\nAnswer: -1043131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-20646)\/27)\/62\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 27*o**5\/20 + 11*o**3\/6 - 13*o**2\/2 - 10*o. Is g(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 1 + (-1 - -2). Suppose 4*w + 87 = -5*i, i + 0*i + 4*w + 27 = 0. Let f be (40\/i)\/(4\/(-18)). Solve -3*l = 3*p - 4*l + v, -f = -4*p - 3*l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 * -29\nAnswer: -66.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 4*q - 804 + 806, -64*h - 5*q - 138 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3231, 6554, 9877, 13200, 16523, 19846?\n\"Answer: 3323*j - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005828022 rounded to six decimal places?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-424)\/(-32) + -6 + -8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100114421222 - -3?\nAnswer: 100114421230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/1320 and -65\/1452.\nAnswer: 14520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.885 + -316.415. Let v = -322.296002 - a. What is v rounded to four dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1841 + 1090?\nAnswer: 28d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 7*j. Let k be h(7). Suppose 0 = 3*c + 12, -2*c + k*c = 5*o - 17. Let p(s) = s**2 + s - 5. What is the tens digit of p(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4052047?\nAnswer: 61, 181, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 41*q**2 - 1144*q - 110. Let u be t(28). Let f be (-2)\/(-3) + (-1)\/(-3). Solve u*k - f = 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*o - 18 = 0, -f - 4*f - 2*o = -2. Suppose -f*j - j + 15 = 0. Let u(s) = s + 4. What is the units digit of u(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**3 + m**2 - m + 3. Let n(d) = 5*d**4 + 406*d**3 + 8742*d**2 + 28878*d + 6. Let v(k) = -2*b(k) + n(k). Factor v(j).\nAnswer: 5*j*(j + 4)*(j + 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 8*d + 274 = 302 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 7*s - 3461*s**2 - 121 + 3462*s**2)*(-2*s - s - 9*s).\nAnswer: -12*s**3 - 84*s**2 + 1032*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 1.1. Let s = 2210858 + -2210858.900061. Let n = v + s. What is n rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*z**2 + 392*z**2 - 10*z**3 + 9*z**3 - 12*z.\nAnswer: -z**3 + 552*z**2 - 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200\/24 + -7 + (-2)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*y - 24 = 0, -y + 4*y = 0. Let g(t) = -t + 11 - 4*t - z + 2*t. Determine g(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by 2.\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 258231?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, 15, -122, -5 in descending order.\nAnswer: 15, 11, 3, -5, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -14.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6999, 7240, 7493, 7764, 8059, 8384, 8745, 9148?\nAnswer: 9599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 18. Let a = 420 + -441. Let g be w(a). What is the greatest common factor of g and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2360, -2365, -2372, -2381, -2392?\nAnswer: -2405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -137, 62136.\nAnswer: -137, -1, 62136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -201, -408, -615, -822?\n\"Answer: -207*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 10251507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.9, 2, 25, -22958 in decreasing order.\nAnswer: 25, 4.9, 2, -22958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1764534 + 708?\nAnswer: 1765343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(18)*-4)\/sqrt(9) - (sqrt(18) - (sqrt(18) + -5))*-4)**2.\nAnswer: -176*sqrt(2) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 21*i**2 - i - 1. Let b be f(-1). Suppose -o = -2*n + 4, -5*o - b + 1 = 4*n. Which is greater: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**5\/5 + 3*h**4 + h**3\/3 - 19*h - 224. What is the third derivative of d(q) wrt q?\nAnswer: -24*q + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldd when three letters picked without replacement from llllldllddllldld.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.973337 kilometers?\nAnswer: 973337000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -8 - ((-3 - -2) + 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2744 and 85\/504.\nAnswer: 24696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i\/i**6*i)\/i*i*i*i**(2\/3) assuming i is positive.\nAnswer: i**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 36*l**3 + 2*l**2 + 23*l - 25. Let a be z(1). Solve -6*g + a = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -643 = 280*j + 1712 - 4035 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 8. List the prime factors of s(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-40 + (6 - 3))\/(-15) and -143\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-14952)\/32040*-2*2\/4\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 18*c**2 - 20*c + 37. Let t be d(19). Find the common denominator of 546\/325*(-20)\/t and -133\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b + 2. Determine r(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a67a7 (base 11) to base 15.\nAnswer: -13e960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a. Suppose -3 = 4*t - 3*w - 0*w, 3*t - 3 = -3*w. Let q(v) = -2*v - 7*v - 7*v + t*v. What is i(q(h))?\nAnswer: -80*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 7:48 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 296505 * -1\nAnswer: -296505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 z when three letters picked without replacement from zbbz?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -0.3 (c) -2\/5 (d) 24 (e) 1.64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 0*u**4 + 1\/12*u**6 + 0 + 6*u**2 + 0*u + 0*u**3 + 1\/15*u**5. Find the third derivative of t(p) wrt p.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*l - 4 = -1879 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 19*o**2 + 24*o - 124. Let i be f(-17). Which is greater: -1109 or i?\nAnswer: -1109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.13, -0.7, 2\/33, -0.3, 1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -4) + -2 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1303 (base 10) to base 13.\nAnswer: -793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -1059?\nAnswer: -4236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t - 7*t + 3*t**4)*(-282 - 339 + 619 - 293*t).\nAnswer: -879*t**5 - 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396192 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by (-64)\/(-48)*(1 + 26\/4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlyyllxyvlvxvlvvvl. What is prob of picking 1 x and 1 v?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 160 = -5*a. Let i = a - -48. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13014*i**4 - 11*i**2 + i - 570 wrt i?\nAnswer: -312336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -20 + -1 + 7 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 plus -0.18985?\nAnswer: -2.78985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 531*a*m*t**3 - 2*a*m + a*t**2 - 2*m*t**2 + 2*m*t - 999*m wrt t?\nAnswer: 3186*a*m*t + 2*a - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 103*m**2 + 11*m - 1132. Give y(103).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*-4*8\/(-64). Suppose m = -149*d + 157*d + 771200. Round d to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 3*g**2 - g**3)*(3 + 0 - 6) + (0*g**2 + 2*g**2 - 3*g**2)*(-g + g + 2*g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/((-6)\/((-18)\/1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 u, and 1 m when four letters picked without replacement from {w: 5, m: 1, k: 4, u: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 723348 and 12780?\nAnswer: 3616740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -v + 5*s, -28 = -5*v + 4*s - 2*s. Suppose 3*l = -3*i + 5 + v, 2*i - 5*l = 6. Differentiate 5 - 6*u**i - 2 - 6 wrt u.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4200073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*a - 141*a + 486924 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42 + (7 - 3)\/2. What is the greatest common factor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/14)\/(1134\/26460)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6918 = 3*j. Let o = 1837 + -1831. Is ((-4)\/o)\/(4\/j) - 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 177, 348, 505, 642, 753, 832?\n\"Answer: -c**3 - c**2 + 181*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14*(-22)\/44.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.35 - -0.05. Suppose 15 = 4*i - 5*x, 0*i + 9 = 5*i - 3*x. Let d be i + (-5)\/10*2. Which is the nearest to d? (a) 3 (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, 40, 308, 646, 1036, 1460, 1900, 2338?\nAnswer: 2756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o + o)*(-9 + 5 - 1).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1485354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(6)\/sqrt(3))**2 - sqrt(2) - sqrt(24)\/sqrt(192).\nAnswer: 11*sqrt(2)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(q + q - 3*q)*(32 + 4 + 30)*(-3 + 0 + 1).\nAnswer: -132*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, 1, 15, 45, 97, 177, 291?\n\"Answer: t**3 - t**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 13*g - 18. Calculate u(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -316 + 527. Suppose 0 = -4*v + o - 47. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = -4*z + 15*c + 557, 4*z - 2*c - 542 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8775 and 500?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5105613778?\nAnswer: 2, 179, 14261491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -7*b**3 - 2*b**2 + 2*b - 8. Let k(u) = u**3 - u**2 + u. Let s(l) = -2*k(l) + z(l). Find the first derivative of s(j) wrt j.\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1884 + -715?\nAnswer: -2599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2595*o - 2596*o + 3. Factor 7\/5*m + 2\/5*m**2 + 4\/5 - 1\/5*m**o.\nAnswer: -(m - 4)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 9*h + 2*k + 14 = 0, 10 = 4*h + 2*k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(396) + sqrt(396) + 1 + sqrt(396) - -3*(sqrt(396) + 0)**2) + -3 - (-4 + (sqrt(396) + (5 + sqrt(396) + -2 - sqrt(396)))*5)**2.\nAnswer: -8835 - 636*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 10:01 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b - 2*b)*(-3*b**3 + 3*b**3 - 2*b**3 + (-4*b**2 + 2*b**2 + 0*b**2)*(5*b + 4*b - 4*b)).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 18\/5 of a minute?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 160*m - 10696263 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 5 - 4)*(0*p + 3*p - 4*p) - 4*p - p - 4*p)*(1 - 1 - 4) to the form h + c*p and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*u + 17, 5*u = -d - 0*d. Suppose -16*j - 90 = -21*j + 5*q, -d*q = 0. What is the remainder when 132 is divided by j\/((-2)\/6 + 6 + -5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -183 - -184.845. Let j = n + 0.005. Round j to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -5, -2251 in ascending order.\nAnswer: -2251, -7, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-12))\/(4825\/772).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3\/3 - 89428*i**2\/3 + 178868*i\/3 - 29812.\nAnswer: -4*(i - 1)**2*(i + 22359)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-72))\/(-1 + (-2852)\/(-2912)). Let r = -4\/27 + m. Calculate the common denominator of r and -36\/161.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.107 + -286.693. Let f = m + 289. Let o = -29 - -57\/2. Which is the closest to 5\/2? (a) f (b) o (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 59, 131, 233, 365, 527, 719?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/4848 and 63\/512272.\nAnswer: 1536816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4341 + -4324. Calculate the smallest common multiple of 10 and a.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2310200 is divided by 526?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**4 + 82*x**3 + 1693*x**2 + 5820*x + 5508 = 0.\nAnswer: -51, -27, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/22 and 89\/350.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8871*k - 736250. Determine j(-83).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 295 * -1.9.\nAnswer: -560.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46, -73, -90, -97, -94, -81, -58?\n\"Answer: 5*i**2 - 42*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 39*z**2 - 2*z + 3. Let m be q(-4). Let g(y) = -y**3 - y**2 + 7*y - 18. Let k be g(-4). What is the tens digit of m\/10 + 1\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5) + -5 + 4 - -6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 4, u: 3}. What is prob of picking 2 u and 2 h?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46061*h*i**2*o**2 - 150*i**2 - 110*i*o**2 wrt h?\nAnswer: 46061*i**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 683572.2 and -5?\nAnswer: -3417861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.41 and 259.7.\nAnswer: 259.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 959*c. Let i(j) = 94942*j. Determine 3*i(a) - 296*v(a).\nAnswer: 962*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -233220?\nAnswer: -1\/58305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 36480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b - 3 = -22*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 7*k**2 + 2. Let i be j(-7). Let m = 3 - -5. Suppose -s = -i*s + m. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r. Let p(k) = -10*k**2 - 4*k. Determine p(j(q)).\nAnswer: -40*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siissiisssiissiiizi. Give prob of picking 1 z and 1 s.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*n**5 - 3*n**5 - 11*n**5)*(-1 + 0 - 1).\nAnswer: 74*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 3:27 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14\/4453795?\nAnswer: -14\/4453795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Let u be -6 + 32\/((-66)\/(-12) + 0). Let o = -0.03 - -0.43. Sort m, u, o in decreasing order.\nAnswer: m, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/3)\/(3\/54). Let t = 653\/22 - 332\/11. What is the nearest to t in 4, 3\/2, c?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + 8. What is the remainder when 43 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 - -86. Suppose -b*d + 213 = -2*k - 324, 424 = 4*d - 3*k. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6025817?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1556*a - 11640 - 30372 = 0 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*1263.\nAnswer: -20208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-22473)\/1485 - -3*(-4)\/(-90)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -271 + 279. Suppose 60*d - 252 = 53*d. What is the least common multiple of i and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 730\/7 + -104. Which is the nearest to -1? (a) 2 (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -458.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 - f + 6. Let d(g) = 2*g**2 - g + 7. Let p be 4\/(-1)*(-3)\/4. Let k = p - 7. Calculate k*d(j) + 5*v(j).\nAnswer: 2*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1786*b**4*t**2 + b*t**2 + 805*b*t wrt b.\nAnswer: -21432*b**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 636524363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 165792.\nAnswer: -7\/165792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 0*a**2 + 0 - 16*a + 5\/2*a**4 - 47\/20*a**5 + 0*a**3. What is the third derivative of f(y) wrt y?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o**4 - 6*o + 4. Let b(m) = 30*m**4 + 30*m - 21. Let q(k) = 4*b(k) + 21*u(k). Find the second derivative of q(h) wrt h.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13029044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - p - 19 = 21, -60 = -5*y + 5*p. Suppose 4*t - 208 = -2*c, t - c = -2*c + 50. Calculate the remainder when t is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -94 + 2a?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 99650077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from nvosb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-eight thirds of a minute?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-5))\/(4\/60) - 3. Suppose i + 3*l - 11 = 0, -2*i - 2*l = w*i - 120. Calculate the highest common factor of 39 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -243*s*w**3 - 17*s*w**2 + 13878*s*w + 26*s - 74*w**4 - 2*w - 1 wrt w?\nAnswer: -1458*s*w - 34*s - 888*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -13, -24, -39, -58, -81, -108?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + m + 5. List the prime factors of c(-4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + (-19 - (22 - 44))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/13451 - -94175\/80706. Suppose 1\/6*v**2 + b*v + 1 = 0. Calculate v.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*w + 2*j + 600, -2*j - 603 = -5*w. Suppose 0 = 7*g + w - 632. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 7:36 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 + 207. Let n = i + -99. Solve -4*d = -n*q - 2, q = -4*d - 0 - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -7*s**2\/2 - 754. Let m(n) = -n**2. What is q(m(g))?\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 2*m - 2. Let g(f) = 3*f**3 + 5*f - 5. Let j = -11 - -6. Suppose 0 = 5*b - 0*b - 10. Calculate b*g(i) + j*r(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h. Let r(i) = i**2 - 8*i + 1. Let w(t) = 6*b(t) - r(t). Determine a so that w(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**5 + 4*m**4 + 4*m**3 - 4*m**2 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 7*y**2 + y + 9. Let z be n(-7). Suppose -z*b = -b + 30. What are the prime factors of (b\/(-9))\/(4\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**2 + 21. Let l(a) = -5*a**2. Determine j(l(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131187 is divided by 97.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 7:46 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -818 + 593. Is k less than or equal to -226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*g - 138 = -171*g - 5*d, -3*g - d = -126 for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 2:48 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 2)\/((-13)\/91). Let u(r) = -r**3 - 17*r**2 + 32*r + 32. Let s be u(i). Round s to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/2357 or 1?\nAnswer: 14\/2357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11754772 and 2216.\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15501 divided by 5167\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00315212727 rounded to 5 decimal places?\nAnswer: -0.00315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 46216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1966 is divided by 142?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -11*r**2 + 13153*r + 65781. What is k(-5)?\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b**2 + b**2 - 25*b**2)*(7*b - 2*b - 6*b)*(3*b + 0*b - 5*b).\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.92 and -5231525115?\nAnswer: 5231525115.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvxv when four letters picked without replacement from xvxxxxxxxxxxvxxxvxxx.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145 + 1297\/9. Do -2 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 617895\/15920 + 9\/48.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 4:45 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**(-2\/3)\/v)\/v*v**(-2))\/(v**6\/((v**(-2\/9)*v)\/v)))\/((((v*v**(-2\/7)*v)\/v*v)\/v*v**(-3\/4)\/v)\/(v**(2\/7))**(2\/59)) assuming v is positive.\nAnswer: v**(-116617\/14868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y + 75. What is the greatest common factor of y and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/24*-3*2)\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h + 2. Let v(a) = -3*a + 3. Let x be (-3)\/6 - 10\/(-4). Let p(q) = x*v(q) - 3*w(q). Let g(j) = -2*j. Give g(p(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.3 - 6.3. Which is the second smallest value? (a) 3 (b) -16 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 24*z + 4. Let l(m) = -32*m + 1. What is a(l(x))?\nAnswer: -768*x + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*w - 18 = 43, 119 = 4*x + 5*w. Let l = x + -24. Suppose 8 = f + f, -l = -2*q - 4*f. Is q equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.035417 (b) 49 (c) 0.1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 5*j + 13 = 5, y - 5*j = -4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16764.3319 from 35.\nAnswer: -16729.3319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/22 and 3\/1486.\nAnswer: 16346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/6 + -2)*249. Let p be 4 + 2598\/16 - 11\/440*15. Is p equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 75060, 0.5, 0.3, 14 in increasing order.\nAnswer: -4\/3, 0.3, 0.5, 14, 75060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -12*v + 378. Let r be f(30). Solve -r*u = -13*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -46.5, 2\/3, -1\/5, 6\/13 in descending order.\nAnswer: 4, 2\/3, 6\/13, -1\/5, -46.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d + 3*d - 18. Suppose -d*r + 2 - 10 = 0. Let t(x) = -x**3 - 5*x**2 - 5*x. Give t(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/7, -0.01, -0.4, -12, -4, -0.09?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 12:51 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y*y*y**(-2\/11)*y*y)\/y)\/(y\/(y\/(y\/(y\/((y\/(y**13\/y))\/y))))*y))\/((y\/(y*y**(8\/3)*y))\/(y*(y\/((y**15*y)\/y))\/y)))**(-2\/37) assuming y is positive.\nAnswer: y**(-8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5089 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12546 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-39)\/7)\/(25\/10 + -1) and 5\/((-630)\/(-92))*42\/56.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -162, -404, -692, -1026, -1406, -1832, -2304?\n\"Answer: -23*r**2 - 173*r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-40 - 1 - 26)*(5*q**2 + 0*q**2 - 4*q**2)*(-14*q - 21*q + 6*q).\nAnswer: -1943*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019649 to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t - 17. Let p(k) be the first derivative of k**2\/2 - 8*k + 28. Let s = 3 - 8. Let x(m) = s*p(m) + 2*j(m). Calculate x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 less than 40079665.76?\nAnswer: 40080776.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(4 + (sqrt(343)*-3)**2) + (-2 + (sqrt(343) + -1*sqrt(343))**2)*-4.\nAnswer: 9286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*j**2 - 76*j**2 + 9*j + 133*j**2 to the form t*j**2 + p*j + b and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -110010101010100 (base 2) to base 7\nAnswer: -135425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 130, 156, 182?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4322.22947 - -4322.8. Let t = -853 + 852.43. Let g = a + t. Round g to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*j + 4*g = -65*j - 19871, -j + 3972 = -3*g. Is j a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by (-9)\/27 - (-224)\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.479298 years?\nAnswer: 0.02479298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 1\/7*q**6 + 3\/7*q**3 - 1\/21*q**7 - 1\/35*q**5 - 1\/3*q**4 - 1\/7*q**2 - 4*q - 5. Let o(t) = 0. Calculate t.\nAnswer: -1, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*s - 2*s - 3*s)*(-2*s**3 + 0*s**3 - s + 0*s).\nAnswer: 68*s**4 + 34*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -111, -107, -87, -51, 1, 69, 153?\n\"Answer: 8*b**2 - 20*b - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -180355.\nAnswer: -180353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - r. Let i(d) = 4*d**2 + 6*d. Let c(z) = -i(z) - 6*k(z). Let o(p) be the first derivative of 2\/3*p**3 + 0*p + 4 + 0*p**2. What is o(c(m))?\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*9*(-2)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 6:21 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 8*h**2 - 4*h - 51. Let f be c(9). Let r be 2\/(-1) - f - 1. Solve 21 = -g + 4*q + 3, -21 = -3*g - r*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 623286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**2 - d + 2. Let l(s) = -14*s**2 - 4*s + 6. Let f(m) = -4*l(m) + 11*x(m). What is the remainder when 7 is divided by f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i + 15. Let u be h(6). Suppose -u*o - 90 = -8*o. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * -866403.\nAnswer: -16461657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5181912 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 343504?\nAnswer: 343500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-4) + 0\/(-1). Let r be (-35)\/21 - -1 - (-10)\/6. Let a be r\/(2 - 1) - 5. Sort w, -6, -2, a in decreasing order.\nAnswer: w, -2, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b62615 + 5?\nAnswer: -3b62610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3731 and -9.7859.\nAnswer: -3740.7859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) 0 (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -946.9 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 3*n**2 + 2*n + 2. Let t be l(-2). What is the third derivative of 3*d**t + 3*d**6 + 0*d**2 - 8*d**2 wrt d?\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*o + 368 - 416 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/5, 1162, 5, 134\/13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0. Let v be 20\/352 - (-6)\/48. Sort 0, f, 0.4, v in ascending order.\nAnswer: f, 0, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 4*o**2 - o + 6. What is j(5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 90*k + 11*k + 1 + (-k + 0*k + 0*k)*(5 - 2 + 3) + 2 - 2*k - 2.\nAnswer: 93*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.88 - 0.02. Let d = 0.8 + k. Let z = 5.1 + d. Which is the nearest to -0.1? (a) z (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -73?\nAnswer: 6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -10898\/2241 = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2103 - -2175. What is the highest common factor of 1422 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98877544?\nAnswer: 2, 12359693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -4398998\/5 and -879799 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/1)\/((-132)\/(-242)*11).\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -7 - 5) + 18 - 15?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0569 + -0.1358?\nAnswer: -0.0789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c**2 + 24*c + 464. Determine l(-19).\nAnswer: 2535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -11. Let u = s - -40. Suppose 0 = -2*b + 70 + 144. What is the remainder when b is divided by u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 9*q + 15. Let i(l) = 2*l + 2. Let p(z) = b(z) - 5*i(z). Give p(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from kaklaakkkkaak?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 228516373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.209 (b) 5 (c) -0.4 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*-1)\/sqrt(4)*4)**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrr when three letters picked without replacement from {r: 4, k: 3, q: 6}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**4\/5 - 92712*y**3\/5 + 2134553656*y**2\/5 + 132810681696*y + 10260395850320 = 0.\nAnswer: -154, 46510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -61*v + 69. Let l be o(10). Let j = l - -26511\/49. Which is the third smallest value? (a) j (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 3. Let j = -2 + u. Let n be (1 - 2)*(9 - 6). What is the second smallest value in -2, n, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**4 + 27*g**3 - 370*g**2 wrt g?\nAnswer: 24*g + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czcczcz. What is prob of sequence cc?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 3*l**2 - l**2)*(11*l + 50 - 50) - l**3 + 4*l**3 + 0*l**3 to the form a*l + x + d*l**2 + w*l**3 and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**4 - 3325*k**3 - 540655*k**2 - 5159675*k - 12694500 = 0.\nAnswer: -403, -252, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39864310?\nAnswer: 2, 5, 3986431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15679\/3480 - -9\/232. Find the common denominator of 61\/24 and o.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65 - -69) + -2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 837 + -819. What is the least common multiple of u and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1135528706?\nAnswer: 2, 13, 43674181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83094 - 413048\/5. Let c = 488 - d. Find the common denominator of 432\/165 + 4\/22 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 418 = 2*g + 2*f, 0 = -2*g - 4*f - 206. Let y be 7*(-6)\/g*5 + 7. Solve y + 1 = 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -1\/6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 6*q**2 + 3*q - 13. Let k be t(6). Which is the nearest to 0.1? (a) -2 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 312 = -3*x, 5*a = x - 152 + 652. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 7:58 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (-2 - (-4 - 3)). Let y be g\/44 - 16\/64. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1152 = -3*n - 4*r + 118, 3*n = 5*r - 1016. Do n and -343 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175 and 973.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 32*u + 3. Let j be s(1). Let y = j - 30. Suppose 11538 - 2123 = y*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*d**2 + 3*d**2 - d - d**2)*((2 - 2 - 2*d)*(-3*d**2 + 0*d**2 + d**2) - 22*d**3 + 8*d**3 - 29*d**3 - 6*d**3 + 0*d**3 + 3*d**3).\nAnswer: 84*d**5 + 42*d**4 - 126*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5486*j**3 + 4*j**2 + 13*j + 20. Let b(y) = 6*y**3 - 4*y. Let w(d) = 3*b(d) + q(d). Find the third derivative of w(t) wrt t.\nAnswer: -32808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47265304601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 848138 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-2 + sqrt(325) - sqrt(325)) + 2 + -5))**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/320*5)\/(144\/(-2112)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) -1.4 (c) -22 (d) -2\/5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(152)\/sqrt(8))**2 + (sqrt(1900) - (sqrt(1900) + -2 + sqrt(1900)))**2.\nAnswer: -40*sqrt(19) + 1918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 136138731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 29 + 31 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/8, 4, -322.3, -6, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 4*f - 8. Let v be b(6). Let x be (-24)\/192 - (-1)\/((-16)\/(-386)). Sort 5, x, v in descending order.\nAnswer: x, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5056 - 5052. Solve -4*p + 8 = -4*o, 5*o = k*p - 6*p - 31 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 9*w**2 - w + 2. Suppose d + 0*d + 9 = 0. Let t be z(d). Suppose u + o + 0 - t = 0, -5*o + 46 = 4*u. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-41114 + 3 + -2)\/(25\/(-56 + 31)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*b - 10, j + 2*b + 3*b + 25 = 0. Let p be ((-10)\/4)\/(2\/8). Let c = p - -13. Solve j = -3*h + c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (90\/135)\/((-1*1)\/(-12)). Let l(z) = -z - z + z**3 + 10*z**2 - 3 + u*z. What is the tens digit of l(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*v**2 + 323*v**2 - 77*v**2 - 75*v**2 - 76*v**2 - 89*v.\nAnswer: v**2 - 89*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a week?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 2.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8630 - -163968\/19. Let r be 3\/22*(-8)\/6. What is the third smallest value in r, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 111588*h**2 + 619*h - 111588*h**2 + (-h**3 - h**2 + h**2)*(6 - 4 - 1).\nAnswer: -3*h**3 + 619*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56445177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385036 to the power of 1\/2, to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -25*j**8\/48 + j**6\/60 - 71*j**4\/12 + j**3\/3 - 2401*j**2. Find the second derivative of w(n) wrt n.\nAnswer: -3500*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4171 + 3.4171. Which is the third biggest value? (a) q (b) -2\/9 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.111 in -0.02, 1.554, -0.4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d**(2\/13)))**(-30)*(d*d**5)\/d**(-9) assuming d is positive.\nAnswer: d**(-135\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**3 + 4*n**2 + 2*n + 4. Let k be g(3). Let a(c) = 46*c**2 + 71*c + 2. Let s be a(-2). Calculate the highest common divisor of k and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/((-3933)\/(-46)) + ((-162)\/(-152))\/3. What is the fourth biggest value in h, -77\/4, -0.1, 4?\nAnswer: -77\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 1)*20*201\/18. What is s rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1*i)\/(i**(-23)*i*i)*((i**(1\/4)\/i)\/i)**(-5\/7) assuming i is positive.\nAnswer: i**(97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.015 - 5\nAnswer: -4.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -10, -19, -30?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.02 (c) 1119275 (d) 4 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Let z(j) = 27*j - 11*j - 14*j. Let s(p) = -4*w(p) + z(p). Let x(d) = -4*d**2 - d + d. Calculate x(s(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a milligram in micrograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 1. Let f(j) be the third derivative of j**4\/12 - j**3\/6 + 2*j**2 + 38*j. Calculate -f(g) - u(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 0.005, 37 in descending order.\nAnswer: 37, 2, 0.005, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 1404*g + 75839. Determine h(-59).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42044 = -18*b - 37372. Let z = 13641 + b. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49149*-17\nAnswer: 835533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y - 619 + 1253 - 625 + 21*y**3 in the form b*y**3 + l*y + z + a*y**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 131.\nAnswer: 14\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -883561937.\nAnswer: -883561937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -274*f - 9544. Calculate t(-35).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**4\/10 + 38*g**3\/15 + 57*g**2\/5 - 126*g + 6511. Solve z(s) = 0.\nAnswer: -5, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9305868 divided by 68?\nAnswer: 136851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154455533.\nAnswer: 154455533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*i = 84*i - 128 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*m - 63*m + 2*m**2 - 73*m + 448*m**3.\nAnswer: 448*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 0, 3 in descending order.\nAnswer: 3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1, 0 in descending order.\nAnswer: 13, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*l - 16 = -6*a - 109*l, 2*a = -l - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139.13 + 139.13013922. What is s rounded to 6 decimal places?\nAnswer: 0.000139","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:20 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*30\/40 + 25\/(-28). Which is the third smallest value? (a) -2\/3 (b) 73 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*m - 64*m = 54 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 7) to base 2.\nAnswer: -1000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 8. Let o = -0.6402 - -0.8402. Which is the closest to -2? (a) 0.1 (b) x (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*l + 1192 - 1192)*(94*l**2 - 58*l**2 - 64*l**2) + 2*l - 2*l - 2*l**3 in the form b*l**2 + q*l**3 + c*l + a and give q.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = q - 2*o + 6, -2*o + 12 = 4*q. Let h(m) = q*m**2 - 5*m + 2*m - 5*m + 11 + m. Is h(7) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvbkkvvms. Give prob of picking 3 v.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 + -4 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18224.\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) -0.824 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -31, -30, -27, -22?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*m, -6*m + 3*m = -5*x + 12. Suppose x*a = -3*a + 561. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 490, 5, 3, 10, 300 in ascending order.\nAnswer: 3, 5, 10, 300, 490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v + 22. Let n be r(-11). Let f(d) be the second derivative of 2*d + 1\/6*d**4 - 1\/2*d**2 + 0*d**3 + n. What is the derivative of f(q) wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 5*r - 5. Let u be i(-6). Let s(o) = 65*o - 14. Let c be s(-3). Let a = c + 212. Solve a*n + u = -8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 - 1 + 1 + (0*x**2 - 3*x**2 - 2*x**2)*(0*x**2 - 2*x**2 + 0*x**2) + 3*x**4 + x**4 - 3*x**4 as b*x**2 + l*x + d + j*x**3 + w*x**4 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14139, -14300, -14549, -14874, -15263?\nAnswer: -15704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.72872417 to three dps.\nAnswer: -14.729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -0.00503.\nAnswer: 3.99497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68048735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2210928491 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -27*r**2 + r - 1. Give p(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 180*y**2 - 6*y - 5 - 89*y**2 - 92*y**2. Suppose 2*d - 1 = -11. Let i be r(d). Solve i = c + 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -18. Suppose o*v + 3 = 90. Solve -3*t - t + 5*g + v = 0, -4*g = 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4408*y**5 + 22686*y.\nAnswer: 88160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u + 64 - 544 = -41*u for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5*x**3 - 6*x**2 + 750*x - 5. Let m(o) = 3*o**3 + 4*o**2 - 753*o + 4. Give 2*b(n) + 3*m(n).\nAnswer: -n**3 - 759*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t + 2. Suppose -22 = 2*y + 5*j, 0 = y - 4*j + 14 - 16. Let u(x) = 7*x + 3. What is y*u(k) + 5*d(k)?\nAnswer: -2*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - n - 20 = 0, 0 = 2*u + n + 3*n - 10. Let p(g) = -4*g**2 + 7*g - 3. Let y be p(u). Let o = y - -96. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6313, -12716, -19213, -25804, -32489?\n\"Answer: -47*b**2 - 6262*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/4))**(25\/2)\/(s*s**(-3)*s*s*s**(-4)))\/((s*s**(-1\/2)*s\/(s**(1\/5)\/s))\/(s\/((s*s*s**(-2\/5))\/s))**(-1\/18)) assuming s is positive.\nAnswer: s**(3979\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 28. Differentiate 4 + 10*t**3 + 16*t**3 - k*t**3 with respect to t.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/12*10\/(-5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2642150, 5284162, 7926172, 10568180?\n\"Answer: -i**2 + 2642015*i + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*t - 2182 + 8602. Which is greater: t or -311?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 29*s**2 + 314*s - 46. Let c be f(-11). Solve -g - 4*t + 9*t + 19 = 0, 3*t + c = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 4*r + 4*l, -4*r + 121 = -3*l + 3. Suppose -4*q = 8 - r. Suppose -3*o = q*t - 117, -4*o + 21 = -4*t + 89. Does 20 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 57*c**5\/20 + 31*c**3 + 117*c. Find the second derivative of a(b) wrt b.\nAnswer: 342*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/(-6) - (-1)\/(-3). Suppose -2*x = -b + 4*b - 106, -f*b + 142 = 2*x. What is the smallest common multiple of 42 and b?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14424 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -19, -2, -3, 58, 5.\nAnswer: -19, -5, -3, -2, -1, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1706 or -1?\nAnswer: 1706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -577 - -489. Let f = y - -83. Which is the nearest to 2\/7? (a) 13 (b) f (c) -1\/4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 - 3*f**3 + 5*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1254 + -474. Is 39 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 4 - (36 - 48)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -635*s + 39 - 15 + 786*s in the form o*s + d and give o.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*a - 267 - 728 + 7620 = 0 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 933 is divided by 305?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1786*j - 39 = 1783*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66*w**5 - 9137454*w**3 + 61597775*w**2.\nAnswer: 3960*w**2 - 54824724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -8\/3*u**3 + 3\/2*u**4 - 8 + 40\/3*u - 1\/6*u**5 - 4*u**2 = 0.\nAnswer: -2, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -56057, -56075, -56107, -56153?\n\"Answer: -7*r**2 + 3*r - 56053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -4 - s**2 + 1 + 2*s + 1 - 1. What is the units digit of z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9710.84 nanometers?\nAnswer: 0.00971084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 + 87. Suppose -n - 6 = 5*r, -s*n + 3*r + 2*r + 18 = 0. Suppose n*g - 2 = 10. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -122800 less than -122800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 2033*c**2 + 98*c**2 - 24*c**2.\nAnswer: 2107*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3560*f + 5 - 3557*f + 2*f**2 - 3*f**2. What is s(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2178998869 and -3.\nAnswer: -2178998872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/950 and -3\/268.\nAnswer: 127300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/50490 and 43\/207009?\nAnswer: 2070090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 52*a**2 - 36*a - 1762. Give v(-52).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 2 (c) -368\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6790b7 (base 13) in base 14?\nAnswer: 479db2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -24*w. What is p(-4)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76017709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**4 + 10504*o**3 + 156678*o**2 - 2262384*o = 0.\nAnswer: -5237, -24, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -x - 10 - 7, 2*x - 31 = 5*c. Let k(w) be the first derivative of -1\/3*w**x - 2 + w + 0*w**2. Determine t, given that k(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004672 divided by 125584?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -19, -3, -7, 25950, 3 in ascending order.\nAnswer: -19, -7, -3, -1, 3, 5, 25950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/15 - 2184*p**2\/5 + 2384928*p\/5 - 868113792\/5.\nAnswer: 2*(p - 1092)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 17 + 9 = -2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 1:26 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32137712 is divided by 4806.\nAnswer: 4796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65123930?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27035327?\nAnswer: 11, 23, 106859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*r - 11, 0 = 4*j - r + 3*r + 6. Calculate the highest common divisor of 7 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**4 + 5*d**4 - 2*d**4 + (-24*d**4 - 3*d**4 + 4*d**4)*(-2 - 1 + 1) to z*d**4 + k*d + i + b*d**3 + m*d**2 and give z.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*u + n + 3, 4*u + 20*n + 52 = 0. Let h(f) = -f**2 - 5*f + 5. Let v be h(-6). What are the prime factors of v + (56 - 0) - (u - -4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 7:01 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 g when three letters picked without replacement from sszg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285, -2259, -7609, -18021, -35181, -60775?\nAnswer: -96489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2)\/j**(1\/3))\/(j\/(j\/(j**(1\/2)*j))*j)**(1\/43) assuming j is positive.\nAnswer: j**(-115\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 1 = d, -127506 + 127508 = -4*b + 2*d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 0.5, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7533.9, -0.02, -139 in ascending order.\nAnswer: -7533.9, -139, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2631582 rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*h + 194 - 359 = 357 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s + 4 + 17*s**2 - 5*s + 12*s - 3 wrt s?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 33*q**2 + 4*q + 4. Let j(s) = s**2 - s - 1. Calculate -i(x) - 4*j(x).\nAnswer: -37*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -34.8143 + -0.336\nAnswer: -35.1503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -231, -878, -2139, -4218, -7319?\nAnswer: -11646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, b: 4, n: 5}. What is prob of sequence bnbz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Suppose 0 = -3*d - n + s, -2 = -5*d + 5*n + 3. Let q(i) = 4 - 2 - 7*i**2 - 2 + d. Calculate q(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 27*v**2 - 49*v + 260. Give s(-29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 + 194 + (-34 - 3).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10, -1, 8, 17?\n\"Answer: 9*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 15 - 185 = -4*c, -150 = -3*c + 3*r. What is the highest common divisor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -5, 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6547 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5326715 (base 10) in base 2?\nAnswer: 10100010100011101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 142953126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -1\/3 (c) 3 (d) -2.7 (e) 1 (f) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 0, 1\/9, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 13956700 to the nearest one hundred thousand.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37863 - -37858. Which is the nearest to -0.15? (a) x (b) 3 (c) -6\/5 (d) 6.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 14, i: 1, s: 1}. Give prob of picking 1 s and 1 t.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/499, -47\/2, -0.6?\nAnswer: 2\/499","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/250 and 67\/8.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 + 12*y**3 - 7*y**2 - 22*y**3 + 9*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 14166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/3, 0.1, -0.34, -5?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1838 times 0.019852?\nAnswer: 36.487976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -997.96 + 998. Let w = -3\/154 - 299\/462. Which is the closest to w? (a) m (b) -0.2 (c) 0.2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p. Let t(l) = 3*l**2 + 4. Let s(u) = 4*u**2 + 5. Suppose 2 = -z + 3*z - 4*b, 4*b + 17 = 5*z. Let h(n) = z*t(n) - 4*s(n). Give o(h(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/4 + 9*j**4\/4 + j**3\/2 - 57*j**2\/2 - j\/4 + 105\/4 = 0.\nAnswer: -3, -1, 1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 12*h + 48. Let s be g(13). What is the highest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100930*g**2 - 101009*g**2 + 201958*g**2.\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 1. Let y(v) = -5*v. Let k(t) = 4*b(t) - y(t). Let d(m) = -1. Give -4*d(g) - k(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -317\/378 - 1\/54. Which is greater: -3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaaaaaaqqa. Give prob of sequence aq.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.93682951 rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + 4 + -2 - (68 - (-66 + 144))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -9 in descending order.\nAnswer: 1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4*c = 88, 401*s - 288 = c + 934 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92 and 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 88373?\nAnswer: -31\/88373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = 3*z - 24. Let h = z + 43. Suppose h = -x + 15. Solve -x = 3*a - 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1309622 is divided by 654798?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*w + (3*w - w - w)*(-2 + 4 - 1) - 3*w - w + 3*w + (-w + 3*w + 0*w)*(3 - 3 + 3) - w - 4 + 4 + (-2*w + 0*w + 0*w)*(3 - 4 + 2).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -0.4. Let s = l - -0.9. Suppose 5 = 5*q - 2*f, -q - 4*q + 3*f = 0. Is s equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -0.5, -2\/19, -4\/7, -3\/7, 2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h = -12. What is the second derivative of -h*w + 7*w**3 - w**3 + 2*w wrt w?\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3307 divide 344301691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -328886 (base 11) to base 14\nAnswer: -d902d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(3 + 58\/(-19)). Let d be m\/(-7) - (-8)\/28. Is 23 a factor of ((-644)\/(-7))\/(-1 + d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 8 = 5*o. Let u(r) = -5*r + o*r + 0*r. Let q(i) be the second derivative of -5*i**4\/4 - i - 4050. What is q(u(l))?\nAnswer: -135*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 530563819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 13840?\nAnswer: -1383b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 403441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5*z - 129, -z + 813 = 2*i + 564. Which is smaller: i or 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - d + 0*d)*(-64*d - 74*d - 30*d) + 1 + 2*d**2 - 1 to l*d**2 + f*d + q and give l.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -11277705 equal to -11277696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = 4*j - 126. Let o = -328 + 328. Factor 0 + o*i**4 - 2\/5*i**j + 4\/5*i**3 + 0*i**2 - 2\/5*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: Collect the terms in 2226 + 2215 + 2212 + 2215 - 11081 + 2213 - 7*t**3.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 16*r - 4. Let s be w(-9). Suppose -52 = -4*m - 0*m. Calculate the remainder when 1\/(144\/s - -1) is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + (50 - 54 - (-4 + 3) - 4).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3d20 (base 16) to base 5\nAnswer: 1000043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 23874.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 1:27 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 2 + 2 - 4 - 2*d + 4 + (-3 + 2 - 1)*(4*d + 2*d - 4*d) - 2 + 2 + 3*d + 2 + d - 2)*(-4 - d**3 + 4).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1. Let l(p) be the second derivative of -p**3\/6 - 2*p**2 + 7*p. Calculate -5*i(v) + l(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0373 times 21120?\nAnswer: -787.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62\/73249 - -2227722581\/878988. Let n = -2531 + w. Find the common denominator of n and -31\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -9\/2 = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -353*v - 35818. Give m(-102).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 3*b + 259 = x, 3*x = -3. Suppose 51 = -5*k - 5*u + 221, -k - 2*u + 38 = 0. Let j = b - k. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 + 6 = -9*j. Solve -7*g + 1 = -j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 5*d + 10, 0*d - 15 = -2*g + d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -13*b - 0*b. Suppose 8*k - 6*k - 126 = b. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*d + 983*d**2 + 13*d - 42*d to the form v + u*d + s*d**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -14*m**4 + 93476*m**3 + 387448*m**2 + 334044*m + 40086 = 0.\nAnswer: -3, -1, -1\/7, 6681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*(b*b**2)\/b*b)\/b)**(-2\/3)*(b**(-2\/3))**33 assuming b is positive.\nAnswer: b**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2409440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 885, 1668, 2451, 3234?\n\"Answer: 783*a + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/3)\/y*y)\/y)\/y**(-8)*(y**(-2))**(-16) assuming y is positive.\nAnswer: y**(118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 198867805*c - 326295022 wrt c.\nAnswer: 198867805","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/22 + 48\/22. Suppose -20 = -4*v - v, -70 = -d*p - 4*v. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-2) + 0\/(-1). Let n be p\/(-1 - (-8)\/4). Is (103 - -9) + 3*n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*j**5 - 310*j**4 - 12*j**3 + 408*j**2 + 16*j = 0. What is j?\nAnswer: -2, -2\/51, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*7 - 220\/(40\/2). Let n = 13 + -7. Calculate the remainder when d\/(-6) + (-2 - (-446)\/n) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 p when three letters picked without replacement from {n: 10, s: 2, p: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (22\/55)\/((-1)\/10). Suppose -o*c = -2*z - 3*z, 3*c = -z. Let v be c\/(-4 + (2 - -1)). Solve 0 = -v*r + 3*r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 8)*(-9)\/(-6). Suppose -z*q + q + 95 = 0. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-three quarters of a kilogram?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 6*u**2 - 6*u - 5. Let g be o(7). Suppose 2*j - 4 = 4*w, -j + g = -w - 0. Let m = 10 - j. Calculate the least common multiple of 20 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019247 to 6 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*3*(-1)\/(-3). Let p(c) = -c**2 + 4*c + 7. Let r be p(x). Suppose -n + 299999 = -a - 0*a, 0 = -r*n + a + 599999. Round n to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 9926*g**3 + g**2 - 4*g + 1. Let j be (-5)\/2*(-24)\/20. Let m be q(j). Round m to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752874171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 3*t + 6. Let p be g(4). Suppose 0 = p*i + 25 - 1. Let w be 4\/i - (-3)\/(-45). Which is the nearest to 2? (a) 0.2 (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 89 - 89 - 11*y - y - 9*y + 8*y + (-1 + 0 - 7)*(3*y - y - 3*y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 11:32 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3) + sqrt(18)\/(sqrt(24)\/sqrt(4)) - sqrt(6)\/sqrt(8)) + sqrt(3) + 6*sqrt(9)\/sqrt(3) + sqrt(300) + (sqrt(300) - sqrt(300)*-1))**2.\nAnswer: 17787\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8\/63 + -26\/1197. Let x = 539\/24 - 177\/8. What is the nearest to x in -0.5, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*l + 53*l + 25*l.\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.47 - 15.23. Let t = -17.1 - k. What is the third biggest value in -3.8, 5, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13364?\nAnswer: 2, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 1659\/15 + 8\/20.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440198502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-706)\/(-8) - 8*6\/192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/83 (b) 10.313 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 29*x**2 - 1. Let c be 1\/(-6)*1*(-2 + -4). Let h be g(c). What is the greatest common divisor of 28 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422*v - 408*v - 140 = 0. Calculate the least common multiple of v and 134.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 15*v**2\/2 + 33*v + 12 = 0.\nAnswer: -4, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, m: 1, v: 6, c: 2}. Give prob of sequence vc.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 132148 at least 10307435\/78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/1817 or 0?\nAnswer: -11\/1817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1047*v - 8. Let j(z) = 1047*z - 8. Let w(n) = -2*f(n) + 3*j(n). Is w(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 20, 37, 56, 77, 100?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5213161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from ggaaaeggaoagaaaoggga.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwssssss. What is prob of picking 2 s and 1 w?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44911 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3004*n - 1000*n - 1006*n + n**2 - 998*n + 107.\nAnswer: n**2 + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1297.2 + -1289.2. Let g = 0.26 - -0.04. Are g and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 9:51 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*b - 2*i + 55, 2*b - 4*i - 22 = 0. Let x be 11\/b*5*1*-31. Let k = 313 + x. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/7, -0.305, -4, 9.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/(-14))\/((-1)\/82). Let h = -72 + j. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -1. Let z be ((-1)\/(-3 + q))\/(6\/(-30)). Solve z*t = 23 - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, 7, 2.\nAnswer: 2, 4, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2)\/((-311692619)\/103897526 - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2951*i**3*v + i**3 - 719*i**2*v - 3*i**2 - 330573455*i*v wrt i.\nAnswer: -17706*i*v + 6*i - 1438*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/25977 and 18\/1601915.\nAnswer: 4805745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1489*f - 81897. What is x(-55)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 328746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1125280, 4501130, 10127546, 18004528?\n\"Answer: 1125283*j**2 + j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20631 = 498*l - 2703 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64634 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -171 + 22a54?\nAnswer: 228a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/6)\/(1\/3). Suppose 4*k = -78*k + 4*k + 546. Put 1, -3, k, q in increasing order.\nAnswer: -3, q, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*j + 55*j + 36, -5*d - 16 = -4*j + 3*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110580 and 228532?\nAnswer: 3427980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:51 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-10)*(-6)\/9. Let n(w) = -4*w - 3. Let z be n(i). Let s = -122 - -118. Which is the third biggest value? (a) 0.1 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23792595 divided by 3?\nAnswer: 7930865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1074 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22033\/2220 - -11\/444. Find the common denominator of v and ((-18)\/15 - -1)\/(8\/(-395)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4750845000 to the nearest 1000000.\nAnswer: 4751000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*h + 3*h + 6580 = 0. Calculate the remainder when 418 is divided by h.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24+54699.86\nAnswer: 54675.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/30324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhrrphrrrhrhr. Give prob of sequence hr.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(96))**2 + 3)*-4*-2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 235767572.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvdc when four letters picked without replacement from {r: 2, d: 3, c: 4, p: 1, v: 6, a: 2}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4 - 16. Suppose 12 + 0 = 3*g - i, 12 = w*i. Let d be ((-2)\/6*0)\/(-2). Solve g*x + 0*x + 5 = d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Let u be 51*-1*(2 - 1). Let n be 4\/(-10) - u\/15. Solve 0*i + t = n*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/41, -2, -4, -2\/31, -3 in decreasing order.\nAnswer: 2\/41, -2\/31, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 10*x**2 - 9*x + 7. Let b be c(-9). Suppose -p = -4*t + 6 + b, p = -t + 7. List the prime factors of t\/(-6)*69\/(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16953715 a multiple of 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40, -20, 12, 62, 136, 240, 380?\n\"Answer: w**3 + 13*w - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*c + 20. Solve 0 = 3*v - c*r + 3*r + 3, -12 = -2*v + 4*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*x + 2831 = -59*x. Is -0.193 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -18\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 179204?\nAnswer: 1\/89602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**3\/3 + 73*m. Let j(w) = 4*w**2 - 5. Let p(x) = 4*x**2 - 4. Let z(b) = 4*j(b) - 5*p(b). Determine f(z(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*w = 15, 2*h = -2*w - 6 - 0. Let n be h - (1 + 0 - -8). Let j = -1 - 3. Sort 5, j, n.\nAnswer: n, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - 86 - -40 - (2 - -19).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 4*k**2 - 13*k + 8. Let b be n(6). Suppose -25 = 15*m + 20. Let p be m + 1 + (-1 - -5) - -1. Solve -p = b*t - t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 966470 and 114935.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (248\/(-84) + 3)\/((-494)\/(-78) + -7). Let f = -4\/5 + 38\/35. Which is the closest to f? (a) q (b) -4 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*u + 33 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 greater than -161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201440 (base 5) in base 9?\nAnswer: -33307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - d + 35 = 6*s, -7 = s - 2*d. Suppose -a - 4*a + 3*i = 60, -5*a - 70 = -5*i. List the prime factors of 181*1 + 1*a\/s.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 14 = -34. Suppose -3 + 8*x - 2 - 1682*x**2 - s + 1684*x**2 = 0. What is x?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 16 + -18 - -17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(3 + 10769\/(-3590)). What is k rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -742716147 - -29.\nAnswer: -742716118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t**3 - 254*t**2 - 376*t - 312. Let s(v) = v**3 + 47*v**2. Let w(d) = i(d) + 4*s(d). Factor w(q).\nAnswer: -2*(q + 1)*(q + 6)*(q + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) -0.5 (c) 0.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (10\/35)\/(24\/42*-1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k - 17*k - 20 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*p + 34 = 0. Let y = p - -160. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 3*w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2367*0.04.\nAnswer: -94.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1682613*r**3 + 18906*r**2 + r + 1?\nAnswer: -10095678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/(q*q**5)*q**(4\/5)*q*q**(3\/8)*q)\/((q\/(q*q**(-2\/5)*q*q*q*q))**(-11)*(q*q**5*q)\/q*q\/q**(-1\/4)) assuming q is positive.\nAnswer: q**(-1907\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1093 - 714. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**3 + 3*w**3 + 0*w**3)*(-6*w + 4*w - 4*w).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*u**4 - 44 - 2*u**2 + 57 - 67*u**4 + u**3 to t*u**4 + c*u**3 + i*u + a*u**2 + q and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Suppose -c - 4*s - 10 = j, -3*c + 3 = s - 0. Solve 0 = -c*o + 2 + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muuuuumuu. Give prob of picking 1 u and 1 m.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.26 - 0.76. Let n = -4.5 + f. Which is the nearest to 2\/7? (a) -1\/6 (b) 2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34034160 - -1?\nAnswer: 34034161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -6 + 1 + (4 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v - 2. Let t(c) be the third derivative of -89*c**5\/30 - 90*c**2 - 3*c. Determine z(t(f)).\nAnswer: -890*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/8 + 325*c**2\/8 - 3671*c\/8 - 26605\/8.\nAnswer: -(c - 313)*(c - 17)*(c + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.9 - 8.7. Let u = -6.7 - -7. Put -3\/4, u, t, -0.026 in increasing order.\nAnswer: -3\/4, -0.026, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4428*q + 1. Let o(a) = -43*a - 2. Determine o(d(b)).\nAnswer: -190404*b - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, d: 6, s: 2}. What is prob of sequence ddd?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = n - 10. Let b = 27 - n. Let l be ((-24)\/b)\/(2\/3). Sort 5, 2, l in descending order.\nAnswer: 5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109931 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: b\"What is the uth term of 4096, 16542, 37284, 66322, 103656?\n\"Answer: 4148*u**2 + 2*u - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -3*q**7\/70 + q**4\/2 + 2*q**2. What is the second derivative of l(k) wrt k?\nAnswer: -108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -297.2 - -297.19997083. What is k rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4 - 2140*n**3 + 500344*n**2 + 39724144*n = 0.\nAnswer: -62, 0, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**3\/2 + 2*v. Let i = 38 + -36. Let q(s) = -i*s + 28 - 52 + 24. Determine p(q(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3810001 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31914305.\nAnswer: 5, 349, 18289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u**2 + 0*u**2 - 13*u**2 + 4*u**2. Let n(c) = 4*c**2. Let a(w) = -8*w**2. Let r(d) = 4*a(d) + 9*n(d). Calculate r(m(t)).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1052 divide 132562062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (91\/21 - 4)\/((-1)\/(-45)). Solve w*a = 4*a + 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/147697187 and 29\/53708068?\nAnswer: 590788748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((-4)\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 58907, 118445, 177999, 237575, 297179, 356817, 416495?\n\"Answer: y**3 + 2*y**2 + 59525*y - 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 64?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/416 - 67\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 11*r - 2*r + r + 5*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2 - 33*s**3 - 2*s**4 + 0*s - 2*s + 35*s**3 = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**3 + 5*f**2 - 3*f. Let i(k) = 6*k**3 + 5*k**2 - 3*k - 1. Let s(x) = -6*i(x) + 7*l(x). What is s(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) - (-78)\/273. Sort w, 4, -2, -16.\nAnswer: -16, -2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 7\/(-6))\/((-2)\/8)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**4\/4 - p**3 + 3*p**2\/2 + 3*p + 13. Let j(a) = -3*a**3 - 17*a**2 - 11*a - 7. Let l be j(-5). Give h(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34 + -13 - ((4 - 8) + 9). Solve 34*o = 38*o + j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**2 + 2032442826*k + 344235320079905523 = 0. What is k?\nAnswer: -338740471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 10:34 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 35*s + 22. Let h be m(17). Solve 3*f + 5*u = 12, h*u - 16 = 4*f - 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*b - 213 + 9 = -7*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Let i(y) = 4*y**f - 6*y**3 + y + 4*y**3 + 3*y**3. Is 6 a factor of i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 110 (b) 9 (c) -11\/78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 211961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 27*j - 6 + 13.\nAnswer: 27*j + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0 (b) 0.4 (c) 1\/8 (d) -1\/30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 258945 and 81000.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1641 less than -0.02?\nAnswer: 1640.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 748178311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = a + 7 - 4, -3*p = -4*a + 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32338.\nAnswer: 2, 19, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 112844 rounded to the nearest 1000?\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeuyeeeueeyuyy. Give prob of picking 1 e and 3 y.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 0 + 2 + 98226\/17 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 358472?\nAnswer: 358473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 270631921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3ad0 - c9c?\nAnswer: 2d33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 - (5 - (1 + (0 - -15))).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*l + 340 = 0, -3*w + 3*l = -344 + 89. What is the highest common factor of 34 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 224515 (base 6) to base 5\nAnswer: 1103244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*f + 2 = 0, -4*f + 169 = 31*n + 56*n + 176 + 333 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-80385)\/(-3220))\/(-233))\/(9\/(-8))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 15 - 3. Suppose 54 = f*i - 18. Suppose -9*b + i*b = -0*b. Solve 0 = -b*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17199133283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 8*o**2 + 31*o - 16. Is g(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-35) + (-920)\/(-14). Suppose -4*v + 10 + l = 0. Calculate the greatest common divisor of v and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**2 - 1. Suppose -4*h + 6 = 5*s - 15, -3*h + 2*s = 13. Let f be d(h). Suppose 6*r - f = 5*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w**(-16)*w)\/w*w)\/w**(-10)*w**0\/(w*(w\/w**(-7\/4))\/w) assuming w is positive.\nAnswer: w**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350 - 541 = -81*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*r - 6*r. Suppose -r*f - 24 = -36. Sort 0, f, -8.\nAnswer: -8, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 3 + (0 + 1 + 1)*(2 + 0 - 4))*(2 - 1 + 0) + 2 + 1 - 2 - 4 - 3 + 5 + (-3 + 2 - 1)*(3 - 4 - 1))*(-7*z**2 + 27*z - 27*z).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*p = 32, 2*p - 22 = -2*i + i. Solve -x + 4*s = 1, x - 2*s + i = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -16*c + 155. Let p be o(10). What is the nearest to 0.2 in p, 0.2, 17\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0 - 9. Suppose -g = 4*q - t*q, -4*g + 2*q + 18 = 0. Which is the nearest to -0.1? (a) g (b) -1\/5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*x - 11670 - 2883 = 218*x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 2 - 2)*(h - h - h**3 + (0*h**2 - 3*h**2 + h**2)*(0*h - 3*h + h) - 2*h**3 + 3*h**3 + 0*h**3 + 4*h - 2*h**3 - 5*h - 179*h**2 + 180*h**2).\nAnswer: -10*h**5 - 5*h**4 + 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 0.110859, -0.87?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -3*c + 7*c. Let x = 65 + c. What is the highest common factor of 56 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 21*o**2 - 9*o**2 - 11*o**2 + 21 + 12*o. Let c be n(-10). Suppose -49 - c = -5*j. What is the least common multiple of j and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372, 3074, 10402, 24666, 48176?\nAnswer: 83242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 58 = 20*l, 2870*n - 2866*n + 8 = 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 357*y**6\/2 - 222*y**3 - 639. What is the third derivative of a(r) wrt r?\nAnswer: 64260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/11)\/1*(-46)\/46?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 68, -2?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -152 + 186 - (-2090)\/(-60)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413*w + 36956 + 116260 = 422*w. Is w a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*h**2*z**2 - h**2 + 25725*z**2 + 1177424*z wrt z?\nAnswer: -14*h**2 + 51450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2\/13 + 40188*d\/13 - 12368 = 0 for d.\nAnswer: -20098, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 21 = i. Let m = i + -7. Solve 0*t - 2*t + 2*y + 4 = m, 3*t = 2*y + 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1116, 1, -2, -89, 3, -1 in descending order.\nAnswer: 3, 1, -1, -2, -89, -1116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81904 = -1758*u + 18616 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 8*j**2 - 6*j + 9. Let m be w(-7). Suppose 0 = m*n - 2*l + 3*l + 16, -3*l = 2*n + 24. Let u = 8 - 13. Does n = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(5) + sqrt(245) + 4 + sqrt(5) + sqrt(125)*-4 + -3 + sqrt(5) + sqrt(5) + sqrt(25)\/sqrt(5))**2.\nAnswer: 80*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22100112210 + 202011?\nAnswer: -22022210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2324139 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 3 (c) -13 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 513467 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 0 - 7\/6*c**3 + 11*c + 35\/2*c**2. Is t(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 + 3.01. Let n(i) = -5*i + 40. Let k be n(0). Let x be (15\/(-25))\/((-84)\/k). What is the closest to 6 in h, x, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a = -23*a - 5*w + 11524, 2*w = 8. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s**3 - 6*s**2 - 5*s + 2. Let v = 76 + -32. Suppose 5*g - v = -5*b + 46, -4*g + b = -77. Calculate the remainder when a(-2) is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (235\/(-94))\/((-5)\/3 - 0).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 12, 0.2, 0.1, 5, -4 in increasing order.\nAnswer: -4, -0.3, 0.1, 0.2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31930 + -349534\/11. Let v = -154 + k. Which is the smallest value? (a) -0.3 (b) 0.2 (c) 4 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 247761*z**3 + 28283*z**2 - 2*z + 2 wrt z?\nAnswer: 1486566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3674125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 10*l + 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from {y: 6, s: 6}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6*q**2 + 35*q + 61. Let v(c) = -2*c**2 + 12*c + 20. What is -6*g(w) + 17*v(w)?\nAnswer: 2*w**2 - 6*w - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 369 - 800. Let b = p + 927. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 3 + 7947*c - 7875*c)*(4*c + 0*c - 3*c)*(5 - 5 + 7*c) to x*c**3 + j*c + d*c**2 + p and give x.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 28 = 5*t, -3*t = 2*x - 22 - 10. Suppose -x*m + 21*m = 28. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(-34\/5)\/m))*m\/(m**3\/m)*m)**(2\/45))**(-12) assuming m is positive.\nAnswer: m**(104\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19937, 39906, 59875, 79844, 99813, 119782?\nAnswer: 139751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.76 - -13.26. Put -2\/5, h, 0.3 in decreasing order.\nAnswer: h, 0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4508*p**4 + 4442*p**2 - 22 + 5098*p**2 + 3766*p**2 - 2762*p**2 + 1920*p - 234 + 13776*p**3 = 0.\nAnswer: -2, -4\/7, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -0*m + 10*m - 832. What is the least common multiple of m and 32?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/405 and -79\/23633340.\nAnswer: 638100180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 + 16*d - 1. Let t(o) = o**2 + 2*o + 2. Let s be t(-3). Let m be u(s). Let c = -4 + 7. Solve -m*i + c = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 3 + 6)*(-1 + 1 - 2) + 1 - 4 + 2)*(1 + 2*h - 1)*(16 + 3 + 0) as g*h + z and give g.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 120272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.98717kg in nanograms?\nAnswer: 96987170000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 p, and 1 l when four letters picked without replacement from {r: 5, p: 5, l: 3, z: 2}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 2:35 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7 + 1 = h, -c + 18 = 4*h. Let t(x) be the second derivative of 7\/6*x**3 + 0*x**c + 0 - 18*x. Calculate t(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1*(50\/120)\/((-15)\/(-6))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -444 + 1036. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r, 7*r - 8 = -2*a + 2*r. Suppose -a*s = -5*s + 27. Let j = s - 17. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 5:43 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -59*d**3 + 4*d**2 - 26*d - 57. What is j(-2)?\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3196972973 to the nearest integer?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/3042 and 193\/15834.\nAnswer: 617526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 9. Let i(y) = 29*y**2 - 1055. Determine o(i(t)).\nAnswer: 87*t**2 - 3156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -52, -91, -132, -175, -220?\n\"Answer: -j**2 - 36*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*1*(-6 - -3). Let u = -91.7 - -86.7. What is the third biggest value in -3\/5, v, u, -2\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 53 - 80 = 0. Solve -3*a - g = -u, 3*u - 32 = 4*a - 0*u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 9*p**2 - 10*p. Let a be r(-10). Let n(h) be the third derivative of a + 1\/72*h**4 - 1\/60*h**5 + 0*h**3 + h**2 + 0*h. Factor n(q).\nAnswer: -q*(3*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2264, -24, -0.4, 4\/5 in increasing order.\nAnswer: -2264, -24, -4, -0.4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47.4279 + -0.4579. Let b = i + 0.03. Let j = -47.00131 + b. Round j to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 13. Let b be (-8)\/140*z*7. Suppose 2*w - 7 = 3. Put w, 4, b in increasing order.\nAnswer: b, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-3*(-10)\/(-15)). Let s = -3545 - -3548. Sort -8, f, s, 2.\nAnswer: -8, f, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -164, -183, -210, -245, -288?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6344 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + 10)*(28 + 80465\/(-2860))?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-10750)\/625 + (2 + -3)*-17\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007900973 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40, -11, 72, 203, 376, 585, 824?\n\"Answer: -r**3 + 33*r**2 - 63*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -64322 (base 7) to base 15\nAnswer: -4acb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 37.36957 centuries?\nAnswer: 3.736957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1010*g**2 - 2*g**4 - 2*g**3 - 515*g**2 - 455*g**2 - 2 to x*g**2 + j*g + t*g**4 + v + q*g**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 14\/10 + (-2)\/5. Solve 4*v + y + 19 = f, 2*v + 3*y + y + 20 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -438244, -876486, -1314728, -1752970?\nAnswer: -2191212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 9*w**3 + 0*w**3 - 5*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96727 and 9329.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6053413 is divided by 1163?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 2. Let d(i) be the second derivative of -i**4\/12 - i**3\/3 - i**2\/2 + 629*i. What is 2*d(g) - 3*w(g)?\nAnswer: -2*g**2 - g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -h - 4. Let t(f) = f - 3. Let l be t(h). Is 4*(-1)\/l*-3 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -1bb00?\nAnswer: 1bab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15963575945389 + -0.1.\nAnswer: 15963575945388.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 - 0.06. Let t be 36\/14 - (5 - 2). What is the closest to x in 0.5, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30347647 (base 8) to base 14.\nAnswer: -bcc0bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = -3. Is (f - 2) + -5 + 253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17443059 divided by -5\nAnswer: 17443059\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.72055475 to 4 dps.\nAnswer: 10.7206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*b + 2*h, 3*h - 43 = -5*b + 22. Let i be ((-30)\/(-54)*-3)\/(b\/(-6)). Let o = 4\/23 - 35\/69. What is the closest to 0.1 in o, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 + 2*t**3 + 4*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**2 + 20*a + 1425 = 0. Calculate a.\nAnswer: -15, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27178, -55432, -83686, -111940?\n\"Answer: -28254*b + 1076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 34. Let a(j) = 59 + j**2 - 3*j + 5*j + j - 4*j. Calculate the remainder when a(0) is divided by d(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 + l**3 - l**3 + (4*l**2 - 18*l**2 + 3*l**2)*(5 - 5 + 50*l).\nAnswer: -547*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7863 - -10821. Is g a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34692 and 381612.\nAnswer: 381612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 539202234 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (28960\/(-400) + 73)*(-3 + 148)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11794655 divided by -5.\nAnswer: -2358931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.2 - 30.4. Let q = -838 + 863. Let c = y + q. What is the closest to c in -0.5, 0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1401*v**6 - 1724*v**2. Let j(p) = -2803*p**6 - 3449*p**2. Let g(d) = 6*j(d) - 11*z(d). Find the third derivative of g(r) wrt r.\nAnswer: -168840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7\/451831 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6*x - 10 = 0. Let n be (-2)\/(-2) - 3\/(15\/x). Sort 25, n, 5 in increasing order.\nAnswer: n, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 689793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*n**4*s - 34*n**4 + 35*n**3*s - n**3 + 2*n**2*s - 2*n + 28366*s - 29 wrt n?\nAnswer: -1440*n*s - 816*n + 210*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/10)\/((-9)\/(-2)))\/((-33)\/(3762\/(-380))).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 5. Suppose -4*u = 3*v + 8, u + p*u - 5 = -5*v. Suppose -v*y + 27 = 5*a, -4*a - 5*y + 3 = -24. What is the remainder when 5 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 2*o + 13. Calculate f(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -158, -236, -258, -206, -62?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sedqeici. Give prob of picking 1 d and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 6. Let u(v) = 12*v - 1. Calculate the remainder when 2\/(-6) + (-64)\/(-3) is divided by u(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38029, 147253, 327675, 579295, 902113?\n\"Answer: 35599*z**2 + 2427*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -517, -6, -1 in decreasing order.\nAnswer: -1, -6, -517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**3 + 2*h**2 + 10*h + 8. What is the smallest common multiple of a(-2) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*j**4\/9 - 554*j**3 + 183880*j**2\/3 - 536642*j\/9 - 364420\/3 = 0. What is j?\nAnswer: -2877\/4, -1, 2, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 580837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 - 62. Suppose s = -11*t + 15 + 73. Let y be (5*t\/20)\/16*-3. Sort -1\/4, 22, 1\/2, y.\nAnswer: y, -1\/4, 1\/2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + b - 1. Let z(s) = 7*s**3 - 11*s**2 - 15*s + 17. Let u(v) = -6*x(v) - z(v). What are the prime factors of u(10)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 1. Let r = -3 + 3.5. Put 0, r, g in decreasing order.\nAnswer: r, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -170*a**5 - 6*a**2 + 48*a - 6. Let d(v) = -170*v**5 - 7*v**2 + 49*v - 7. Let x(o) = 6*d(o) - 7*k(o). What is the second derivative of x(s) wrt s?\nAnswer: 3400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.135199 - -5.864683. Let o = 31 - -11. Let f = i - o. Round f to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26\/3 + 9. Let y be 2 - 1 - (0 + 6 + -5). Factor -q*n**2 + y + 2\/3*n.\nAnswer: -n*(n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llzz when four letters picked without replacement from {z: 10, l: 2, o: 2}?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + (-18 - (-36 - (-16 - 4))).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3138767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1726 - 11627 = 0. Let r = p - -6235. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 205 - 900760?\nAnswer: -900555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + -2*(sqrt(17) + 0) + -2*sqrt(17)*2 + -3 + -2)**2.\nAnswer: 48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -4*g**5\/15 + 308*g**2. Let x(y) = 56*y. Give x(a(o)).\nAnswer: -896*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -378303\/11 + 34391. Let v = 11 - 6. Sort v, g, -4.\nAnswer: -4, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*q = -110, -18*j + 17*j - 3*q = -35. Solve 47*p - 18 = j*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -26. Let a = 85 + d. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p**4 - 1840*p**3 - 2584*p**2 + 2080*p = 0. What is p?\nAnswer: -130, -2, 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - 55. Let u be x\/28*(528\/(-15))\/4. Let t be 54\/90 + u\/5. Solve 29 = -t*k + 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 4 - 2)*(7513 - 7513 + 19*f**2) + 4*f**2 + 2*f**2 - 8*f**2 to the form w*f**2 + x*f + g and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - ((-6)\/(-3) - 0). Suppose 44 = 33*x - 88. Solve -x*b + d = -20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 - ((-10)\/15 - (-82)\/6)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (105\/(-63))\/(1\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213, 1714, 5763, 13626, 26569, 45858?\nAnswer: 72759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b + 6. Let s be u(-1). Suppose -2*d = -2*g + 5*g + 4, 4*d = 2*g - 24. Solve -s = g*i + 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 39.08075?\nAnswer: 39.08075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f. Let i(s) = -20709*s**2 - 91*s + 8. What is d(i(p))?\nAnswer: -41418*p**2 - 182*p + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/41272 and -43\/224.\nAnswer: 165088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17 * 18\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*u + 8 + 20, 0 = -9*u - 45. Put 2\/5, v, 0.3, 0.6 in decreasing order.\nAnswer: 0.6, 2\/5, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 5202*u + 60. Determine w(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + -6)\/((-6)\/236). Suppose 1674 = -15*y + w. Let m = 93 + y. Solve -3 - m = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -781*r - 1353. Does 23 divide i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1334611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 15*j + 1. Give i(3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 - 7*o - 9. Let n(d) = d**2 + 4*d + 5. Let h(y) = -7*n(y) - 4*t(y). Let m be h(2). Let c = -1 + m. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 i when three letters picked without replacement from {g: 1, i: 1, z: 1, y: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35146.\nAnswer: 2, 17573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, 2\/3 in decreasing order.\nAnswer: 2\/3, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*h + 42 = -67*h. Suppose -g - 4 = -h. Suppose -5*v + 17 = -d, 3*v - 3 = 9. Solve -4*r = -2*q, g*r = -d*q - 0*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 - -1) + (-3 - -1). Let k(r) = -r**3 + 7*r**2 - 1. Let m be k(7). Calculate the common denominator of 39\/10 and y\/28*(-86)\/m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14cc274 - -5?\nAnswer: -14cc26d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 10*c**2 + 2*c + 19. Let h(a) = a**3 - 10*a**2 + a + 21. Let l(j) = -5*f(j) + 4*h(j). Give l(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17548 - 17548 + 12*w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**3 - 7*x**2 + 2*x - 5. Let i(y) = 3*y**3 + 6*y**2 - y + 5. Let c(a) = -3*i(a) - 2*t(a). Let u be (-16 - -20) + -7 + -1. Calculate c(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1148)\/(((-1)\/(-2))\/(5\/(-20))). Let i(k) = -k**2 + 6*k - 3. Let a be i(4). Suppose -l + 109 = -a*r. Calculate the remainder when r is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 333760029 divided by 3.\nAnswer: 111253343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/25 of a litre?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 889619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 593256 divided by 24719.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjvajjvj. What is prob of sequence jta?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**5\/20 + i**4\/2 + 17*i**2. Let j(g) = 0. Calculate g.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + l - 4, 4*y - 8 - 6 = -2*l. Suppose -2*m = 5*x - 10, 0 = 5*x - 4*m + 5 + 15. Sort x, y, 4 in decreasing order.\nAnswer: 4, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 442 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {y: 12, i: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -30, -86, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-4))\/((-7)\/14*2))\/(121539\/3828)\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 5. Let t(z) = -3*z + 7. Let y(v) = 4*n(v) + 3*t(v). Let d(m) = -2*m + 2. Calculate 4*d(o) - 11*y(o).\nAnswer: 3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48455 + 71694. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/c**(-4\/5)))\/c)**40)**16 assuming c is positive.\nAnswer: c**(-1152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5571 = -1629. What is s rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.4, 0.1, 0.36 in ascending order.\nAnswer: 0, 0.1, 0.36, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34, -252, -652, -1234, -1998, -2944, -4072?\n\"Answer: -91*d**2 + 55*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 9:26 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1020200012220 (base 3) to base 16\nAnswer: -a1d24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10003 + -9724.04. Let x = 279 - p. Which is smaller: 1\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25084561, 50169123, 75253685, 100338247, 125422809, 150507371?\nAnswer: 175591933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + z + 3 - 3)*(9*z**4 + 13*z**4 + 4*z**4).\nAnswer: 26*z**5 - 26*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080772673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeeee. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 211.9 - 212. Sort 0.1, -0.8, v, -1\/7.\nAnswer: -0.8, -1\/7, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*r**2 - 2*r**2 - 4*r**2 + 93*r**3 - 29*r**2 - 4*r**2 wrt r?\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/4 + 99*v**4\/2 + 2279*v**3\/4 + 1053*v**2 - 1672*v = 0. What is v?\nAnswer: -8, -4, 0, 1, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -2*t - 0 - 5, -5*g + 4*t + 25 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2959 minus -61?\nAnswer: -2898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(56) + sqrt(2744)))\/sqrt(8))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2 + 17. Let w(g) = -4*g - 3. Let c be 2\/(-1) - (0 - -1). Let a be w(c). Let v(b) = -b**2 + 4. Give a*v(r) - 2*d(r).\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9341, -9332, -9335, -9356, -9401, -9476, -9587?\nAnswer: -9740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - a = 3*a - 1, 5*k - 11 = a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o*o\/o**(-2\/5))*o)\/o)\/o)**(-3\/26)*(o**(-1\/3))**31)**(-25) assuming o is positive.\nAnswer: o**(9805\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 70*o**2 + 326*o - 8395. Give y(67).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 11) in base 13?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 569702158*x**5 - 359604886*x.\nAnswer: 11394043160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 609 - 586. Let k = -23.4 + v. Which is the nearest to 1? (a) k (b) 2 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 59 + 76. Suppose 5*h - 4*i = -0*h + 143, -5*h + 3*i + 141 = 0. Calculate the smallest common multiple of h and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 4*u - 20, -3*k + 11 = -u + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 minus -42403?\nAnswer: 42401.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -1. Let n be (4\/14)\/((-3)\/7). Let u = 2.9 - 3. Which is the third smallest value? (a) x (b) u (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 35. Sort -12, s, 4 in decreasing order.\nAnswer: 4, s, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56.62 - -0.38. Let y = -41 + j. Let p = y + -20. Which is the third smallest value? (a) p (b) 1\/6 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 301700 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 237360 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10\/81 + -187\/567. Let c = n + 3\/7. Let f = -1 - 2. Put f, c, 5 in decreasing order.\nAnswer: 5, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*f - 4766944 + 1331050 = 0. What are the prime factors of f?\nAnswer: 7, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*2\/(-156))\/((-7)\/(-140))?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -41*g**3 - g**2 - 3*g - 3. Let a(l) = 83*l**3 + 2*l**2 + 7*l + 7. Determine 3*a(s) + 7*d(s).\nAnswer: -38*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 383 and 48848203.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*p - 59*p + 5*p - 141*p - 47*p to t + v*p and give v.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 2*r + 58, -29137036*r = -29137052*r + 64 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 13 - 25 - 8*o - 10. Let w(a) = -2*a - 1. Let c(q) = -n(q) + 3*w(q). Determine c(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2117668 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 8. What is the units digit of g(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-15) + 6032\/240 + (-37 - -33)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124481331 to the nearest integer?\nAnswer: 11157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -59 (b) 2\/13 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 2:29 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 9261?\nAnswer: 9261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6175, 6976, 8319, 10210, 12655, 15660?\nAnswer: 19231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*c*t + 3686*c - 184*t wrt t?\nAnswer: 5*c - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - 3*x**3 + x + (-12 + 12 - 11*x**2)*((4*x - x - 4*x)*(2 + 2 - 6) + 3*x + 2*x - 3*x).\nAnswer: -47*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -637224060*k**4 - k**2 - 78412874*k?\nAnswer: -15293377440*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30881*v**2*y - v*y + 2*v + 1096 wrt v?\nAnswer: -61762*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*u**3 + 0 + 16*u**2 + 5 - 4.\nAnswer: -37*u**3 + 16*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.084 - 0.306. Let u = 1.69 + y. Let k = u + 2.2. What is k rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -5, 16 in decreasing order.\nAnswer: 16, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -683 + 687. Let x = 6 - 2. Suppose -5*f - 5 = x*b - 19, -a*f + 3 = -5*b. Solve 0 = 2*r + w + 7, f*r - 4*w + 6 = 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**3\/3 + d + 8. Let w(q) = 7*q**2 + 13. Let r(t) = w(t) + 2*y(t). Find the first derivative of r(c) wrt c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/c**(-3\/13))\/c)*c\/(c\/(c\/c**24)*c*c*c)*c*c)**47 assuming c is positive.\nAnswer: c**(-14194\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1276.13 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 - 7*l**3 + 41*l**3 + 16*l**3 + 3*l**3.\nAnswer: 56*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 163 + -161. What is the closest to 3 in 3\/2, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6481.803 rounded to the nearest one hundred?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 323\/44 - 1\/132. Let k be (7\/(-2))\/(2 + (-10)\/4). Let z = i - k. Which is greater: -9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + sqrt(19) + sqrt(19) + -4 + ((1*sqrt(19))**2 + 3 - sqrt(19)) + (sqrt(171) - -1*sqrt(171)).\nAnswer: 18 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1469\/9 + 163. Which is the nearest to 1? (a) z (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1513059 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002 less than -42503497?\nAnswer: -42503497.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*z + 45*z + 98*z + 49*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -58759 + bb6?\nAnswer: -57763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 264\/25, 6\/25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 362\/(-11403) - 695\/(-63).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-119))\/((-316)\/(-75208))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**(-13)*p))**(19\/5)\/(p**19*p**13) assuming p is positive.\nAnswer: p**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26154 - -13701106.\nAnswer: 13674952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 19*w + 5. Calculate p(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -363 + 325 + (-3 - -23).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(-3*sqrt(3888))**2 + -2 + (sqrt(3888)*-1)**2.\nAnswer: -31102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17291 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 8*o - 2. Let g be x(-7). Suppose 5*d - 214 = 4*b, -118 = -g*d + 5*b + 92. What is the greatest common factor of 207 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {v: 5, p: 3, o: 3, z: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7874 * 56.7.\nAnswer: 44.64558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-3874265.\nAnswer: 1162279.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(2*sqrt(7))*3 + (sqrt(208) + 1)*1.\nAnswer: 1 + 11*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**4\/6 + q. Let t(d) be the first derivative of -2*d**3 + 976. Calculate t(b(c)).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 65 - 3*p + p**2 - 36*p + p**2 + 2*p - 18. What is the hundreds digit of u(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 142, -52, -3, -16, 36 in ascending order.\nAnswer: -52, -16, -3, -1, 0, 36, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/5)*w)\/w**6*w**6\/((w\/(w\/(w\/(w**(-3)\/w*w))))\/w))\/(w**(3\/2)\/(w\/(w**0\/w*w*w))*w**(-1\/8)\/w**(-2\/15)) assuming w is positive.\nAnswer: w**(-277\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 31*d**2 - 30*d + 79. Let l be p(-32). Solve k = -l*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 3*g + d - 14, 10 = -2*g - d. Let j be (-14)\/(-8) + (-1)\/g. Suppose j*h = 45 + 11. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**4 - 2*b**4 + 5*b**4 - b**3 - b**4 + b**3 - 2*b**4 + 1 - 1 + (0*b + 0*b + b)*(b + b**3 - b))*(6*b - 38*b + 6*b).\nAnswer: -26*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64539 + 147502. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39419, 78896, 118371, 157844, 197315, 236784, 276251?\nAnswer: 315716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-288)\/135 + (-12)\/(-90)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125164, 250368, 375640, 500992, 626436, 751984?\nAnswer: 877648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 11. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110111220001 (base 3) in base 5?\nAnswer: -144342023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 872*b**5*g - 525*b**3*g**2 + 2*b**2*g**2 + 16*b*g + 7*b + 3*g**2 + 1 wrt b.\nAnswer: 52320*b**2*g - 3150*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 27 = 11*r, -8*z + 14 = 126*r - 58*r - 65*r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + -2)\/((-7)\/7). Suppose 0 = -2*m + s + u, -s - 5 = -2*s. Suppose 0 = -r - 3, 5*r + m = -4*a + 3*a. What is the highest common factor of 70 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4871, -9768, -14665, -19562, -24459?\n\"Answer: -4897*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173054, -343627, -514202, -684779, -855358, -1025939, -1196522?\nAnswer: -1367107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*c + 10653 = 0, 2*u - 21299 = -14*c + 11*c. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -43\/6 + 17\/3. Let q(d) = -64*d - 4. Let k be q(-7). Let y be (k\/(-54) - -3) + 5. Which is the biggest value? (a) 5 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 10*r + 7. Let j be c(-10). Suppose 0 = -z + j - 2. What is the third derivative of -z*d**6 - d**5 + d**2 + d**5 wrt d?\nAnswer: -600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 + 6 + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, s: 7, z: 2}. What is prob of picking 2 s?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2\/41, 4 in decreasing order.\nAnswer: 10, 4, -2\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -56, -31, -6, 19, 44, 69?\n\"Answer: 25*c - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3234, 6495, 9784, 13101, 16446, 19819?\nAnswer: 23220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**35*a**(-2)*(a\/(a*a**(1\/31)*a))**19 assuming a is positive.\nAnswer: a**(415\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0.9. Let g(p) = p**3 - 2*p**2 + 4*p - 3. Let f be 0 - 7\/((-14)\/4). Let d be g(f). Which is smaller: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and 29160?\nAnswer: 29160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53 and 18154?\nAnswer: 962162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 3*d**2 - 5*d + 4. Let s be b(-4). What is the highest common divisor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -262\/3 + 86. Let u(f) = f**2 + f - 1. Let s be u(-1). Let t = r - s. Which is smaller: 3\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3394, 3341, 3288, 3235, 3182, 3129?\nAnswer: 3076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - g - 1737, -5*o + 3*o - 3*g + 1749 = 0. List the prime factors of o.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 12*z - 16. Let w be q(-13). Let o be (5 + -4)*-10 - w. Let k = 53 + o. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-544)\/(-13) + (-20 - (-2358)\/117). Solve u*h = 39*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.19 and 12536?\nAnswer: 12535.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 + d**3 + 4*d**3)*(2*d - d + d) + d**4 + 3*d**4 - 3*d**4 + (-2*d**2 + 0*d**2 + 5*d**2)*(0*d + 0*d + d**2).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 5\/6*a**3 + 31\/10*a**5 + 39 - 11\/12*a**6 + 1\/2*a**2 + 0*a - 27\/8*a**4. Factor f(c).\nAnswer: -c*(c - 1)**3*(11*c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 3)*(-c**3 + 2*c**3 + c**3) - 2*c**3 + 0 + 2*c - 1 + 2)*(8*c - 11*c - 9*c).\nAnswer: 48*c**4 - 24*c**2 - 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 21 - 17. Solve -n*g + 5 = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 9*x**2 - 8*x + 3. Let r be h(-8). Suppose -2*y - 5*k + 31 = 0, -r*k = 2*y + k - 32. Calculate the smallest common multiple of 12 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -932134 or -932135?\nAnswer: -932135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/5 - 1666*m**3\/5 + 103594*m**2\/5 + 212178*m\/5 + 21384 = 0.\nAnswer: -891, -1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 7*w + 5. Suppose 2*y + 2*y = 28. Let v be q(y). Suppose 0 = v*t + 18 - 68. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224352.\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3213 - 3208. Solve -4*l + 4 = 5*w - o, 4*l + 26 = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*q - 15 = 0, 3*q = -5*c + q + 22. Suppose -5*x - c = -k, -6*k - 3*x = -k - 104. What is the greatest common factor of 76 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 1 - (-9 + -1 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 + 70. Let k(q) = -2*q + 44. Let w be k(h). Factor 0*g + 3\/8*g**4 - 1\/8*g**5 + w*g**2 + 0 - 1\/4*g**3.\nAnswer: -g**3*(g - 2)*(g - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 greater than or equal to 211469.49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 14*t**2 + 14*t - 3. Let v be s(13). Suppose 0 = -2*n - v, 4*n + 1781 = 2*w - 533. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -5. Suppose -c*p - 3*p + 20 = 0. Factor p*o**2 + 8*o + 16\/3 + 2\/3*o**3.\nAnswer: 2*(o + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 - 3) - (-416 - -414).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.384 - 2.184. Which is the closest to 0? (a) d (b) 73 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-13)*-4)\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2198 - -18376. Suppose -5076 - p = -57*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001101 + 1001?\nAnswer: -1011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 + 33. Let t be 1\/(-6) - (-44)\/(-24). Let a be ((f\/(-9))\/(5\/30))\/t. What is the highest common divisor of 203 and a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64895263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 5:57 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 280.06478 rounded to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/113))**(-18)*(w\/(((w\/w**(10\/3))\/w)\/w))**(-10))**(-22) assuming w is positive.\nAnswer: w**(400136\/339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + 6. Suppose -4*w = -w. Let k be i(w). Suppose -k = -7*q + 6*q. Calculate the remainder when 28 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006768076 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208876, -417748, -626620, -835492, -1044364, -1253236?\nAnswer: -1462108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 55*d**3 - 50*d - 35. Let z(m) = -51*m**3 + 48*m + 36. Let h(n) = 4*l(n) + 5*z(n). Let i(w) = -w**3 + w + 1. Calculate -3*h(c) + 120*i(c).\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 228383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8983*5.\nAnswer: -44915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -187 - -211. Let r(u) = -10*u + 8. Let c(d) = -5*d + 4. Let f(n) = -7*c(n) + 3*r(n). Let x be f(4). Calculate the greatest common factor of h and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 85476973.8 to the nearest one thousand.\nAnswer: 85477000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -356\/1521 + 2\/169. Let z = -0.8 - -0.3. What is the biggest value in -5, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4.4. Let z = 79.5 + -80. Which is the closest to 0.2? (a) -2\/13 (b) z (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n\/(n**6*n)*n)\/n)*n)\/(n*((n\/(n*n**(1\/5)))\/n*n)\/n))**37*n**1\/n**(-1)*(n**(1\/3))**(-38) assuming n is positive.\nAnswer: n**(4946\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13804918?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.895, 6, 0.5, 0.2, -6, -6\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237588\/(-2808) - 105\/270?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 + 27*z**2 + 13*z + 2. Let o be u(-13). Suppose 3*n = -3*d + 435, -3*n + 5*d + 685 = o*n. What are the prime factors of 6\/2 + n + -3?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-106535)\/(-15))\/11 + (-8)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55.06 + 55. Let o = a - 2.94. Sort o, -3\/2, -0.4, 0.1.\nAnswer: o, -3\/2, -0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3011185 is divided by 21205.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45\/2 - -21. Let k = 94 - 98. Let j = 4.89 + 0.11. Put j, k, m in decreasing order.\nAnswer: j, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005268 rounded to four dps?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 930, 152, -648, -1476, -2338?\nAnswer: -3240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)\/(i**(-3\/5)*i))**14 assuming i is positive.\nAnswer: i**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1 - 6*l + 3 - 21*l**2 + 12*l**2 + 8*l**2. Let g be b(-5). Let 13 + 2*c + 3*c**2 - g*c - 11 = 0. Calculate c.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, v: 5, z: 9, q: 2}. Give prob of picking 2 v, 1 y, and 1 z.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.24 - -0.24. Let g = v - -15. Let d = 14\/15 + -73\/30. Sort g, -0.3, d in ascending order.\nAnswer: d, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3*v*x + i**3*x**2 - 3*i**2*v*x**2 - 6*i*v*x - 12*v*x**2 wrt i.\nAnswer: 6*i*v*x + 6*i*x**2 - 6*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1382, -2896, -4548, -6338, -8266?\nAnswer: -10332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k + 2*k)*(54*k**3 + 618297 - 618299 + 19*k + 15*k**3).\nAnswer: 138*k**4 + 38*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-810)\/(-20)*(-2)\/(-3). Suppose x + 2*x - 2*u = y, x + 3*u - 9 = 0. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1864677.1 to the nearest 100.\nAnswer: 1864700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10595 or -9315?\nAnswer: -10595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b. Let k(c) be the second derivative of -7*c**4\/12 + 17*c. Determine k(l(z)).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 948*g + 3*g**3 - 957*g - g**4 - 2*g**2 + 747*g - 3*g**3 as x*g**3 + v*g**4 + m + p*g + b*g**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 5*n**2 + 2*n - 6. Let g be b(-2). Solve 6 = -2*l, 1 = g*v + l - 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 13. Let p = i + 12. Let u(y) = 7*y**3 - 24*y**2 - 13*y - 10. Let v(o) = o**3 - 3*o**2 - o - 1. Let l(g) = u(g) - 6*v(g). Determine l(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 241654 and 109634.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/38)\/(350\/3325). Let z(l) be the first derivative of -11\/4*l**x + 7\/3*l**3 + 0*l + 0*l**2 + 7. What is the third derivative of z(f) wrt f?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from exbknfen?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 388189 divided by 2?\nAnswer: 388189\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3972 divided by -5.\nAnswer: 3972\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-962)\/(-1628) - (-3)\/(-6))\/(32\/176).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4 + 2.5. Let c = 4.1 - a. Let o be (-95)\/20 - 2\/8. Sort -2\/3, c, o in descending order.\nAnswer: c, -2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Let x be -182*(21\/(-1) + j). Calculate the common denominator of 35\/2 and (x\/(-16))\/9 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 21*n**2 + 12*n + 1. What is the remainder when z(-22) is divided by 58?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = r + 4*f, 4*f = 21*r - 11*r + 30 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -4.5. Suppose -3 + 9 = n. Let i(l) = -l**3 + 6*l**2 - l + 8. Let y be i(n). What is the second biggest value in y, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**3 + j. Let b(n) = 3 - n + 6*n - 3*n. Suppose 3*s = -o - 4*o - 22, 16 = 2*o - 5*s. Let i be b(o). Determine p(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7000\/(-294))\/(-50)*(-6)\/10*-2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 1:46 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 1. Let t(c) = -c. Let l(v) = d(v) - 3*t(v). Let f(y) = 7*y - 5. Determine -f(q) + 6*l(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 21)*(-6)\/(-2). Suppose -4*d - 4*u - u + 5 = 0, -5*u + 5 = -2*d. Suppose -4*s + 573 - h = d. Calculate the highest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*k**2 + 5*k**3 + 197*k - 332*k + 135*k - 81*k**2.\nAnswer: 5*k**3 - 374*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113.591 - 61.533. Let v = -52 + t. What is v rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 9:11 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 150 = -3*o, -4*o - 912 = 19*g - 1333 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 5. Let b be -1*(-15)\/6*h. Suppose -9*a - b = -14*a. Find the common denominator of -2\/11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9355 is divided by 6559?\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ada when three letters picked without replacement from aadd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 12, -0.05, 6, 172, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**2 - 12*c - 4. Let l be j(-6). Let s(q) = l*q - q**2 - 11*q**2 - 5*q + 4*q. What is s(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 - 1.1. Let w(r) = r**2 - 6*r + 7. Let h be w(5). Let j be h\/(-2)*1\/3. Which is the nearest to j? (a) p (b) 0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2 + 207*i**3 + i**2 + 0 + i + 3*i**2 - 5. Let t be k(3). Suppose 0*o - 4*u + 5630 = 5*o, -5*u + t = 5*o. Round o to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*t + 3*t - 12590, 5*r + 25 = 0. Let u = t - 2689. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (-7)\/(-2))*-6. Let x(w) = 6 - 5*w - 5*w**2 + w**q - 2*w**3 - 2*w**2 + 0*w. Give x(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*v = -18, 4*p - 2*v = -7*v + 85. Suppose 0*a - 5 = -a - 3*j, -4*j = 4*a - p. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 10 - 5*t - 11 as k + d*t and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 320558 and 366352?\nAnswer: 2564464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143899007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 3*b + 83, 16*s + 3*b = -506 + 387 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704*m + 1500*m + 2113*m = 706*m - 176939 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -25 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-12)\/l*l)*l))\/l)**21\/(l**(1\/4)\/(l*l**(-24)*l)) assuming l is positive.\nAnswer: l**(-1265\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**2 + c + 2. Let u be n(2). Let v be 3 - (u - (3 - 3)). Calculate the smallest common multiple of 1*(v + 3) + -2 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 38166\nAnswer: 1\/12722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4913597 is divided by 1480.\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185822087?\nAnswer: 11, 17, 58453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -12) + (210 - 195)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 184a (base 13) to base 2\nAnswer: 111000011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 9:14 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 22 + (-40 - -21) + -24?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*i - 122284 - 24492. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*k*l**3 + k + 126*l**3 with respect to k.\nAnswer: -45*l**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/34)\/(10*(85\/(-136))\/((-75)\/12))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 591448601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/18 and -50\/117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56373548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099314 divided by 1?\nAnswer: -1099314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(1\/9))*d**(-24)*d**(-6\/13)\/d**(2\/23))**(2\/131) assuming d is positive.\nAnswer: d**(-131522\/352521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1556 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in -4, 1\/5, 2\/15, 0.382, 2\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/115? (a) 0.5 (b) 0.03 (c) 40\/81 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 6*l - l = -35, -7 = -3*p - 2*l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**6\/160 + w**4\/32 + 21*w**2. Suppose f(j) = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c - 84*c + 31*c - 37*c.\nAnswer: -77*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16544 + 1800591. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 894909 - -5?\nAnswer: 894912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-1 - (-5 + 1)) + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37b27 - -5?\nAnswer: 37b2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flf when three letters picked without replacement from lllllllflllfflll.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9598783 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i + 178. Let j be b(35). Let u be j\/8*(140\/(-10) + 9). Which is greater: -23 or u?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2 + 62*y - 10. Determine u(-13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-266)\/18 - (-8)\/(-36). Let s be (-5 + 0)*9\/k. Solve y + 0*y = s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*m + 2*m - 36 = 0, 2*q + 4*m - 72 = 0. Let h(g) = -73 + q - g**2 + 42 + g. Let f(r) = r + 4. What is 3*f(d) - 2*h(d)?\nAnswer: 2*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 1. Suppose 0*x + 2*x + 16 = 0. Let m(l) = -5*l. Let o(f) = 14*f + 1. Let t(c) = x*m(c) - 3*o(c). Let b be (-12 + 3)*(-2)\/3. Give b*r(v) + 2*t(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 13.1833462\nAnswer: -4.1833462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*s**2 + 25*s**5 + 21 - 21 wrt s?\nAnswer: 1500*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -955.06406 rounded to the nearest 10?\nAnswer: -960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*w**2 - 2470361*w - 2058630.\nAnswer: -(w + 411726)*(6*w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 13) to base 10\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*4\/48 - (-5)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccocccorcoococcocco. Give prob of picking 2 c and 2 o.\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -95, -87, -59, -5, 81, 205, 373?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -11. Let n be (u\/7)\/((-8)\/(-56)). Let p be (-42)\/(-18) - (-2)\/n. Let j(z) = -z**3 + 6*z**2 - 5*z + 4. Determine j(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 27 + 9. Let o = -9 - t. Let x be 5*(-2 + (-9)\/o). Solve x = -3*s + 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7\/1098 - -14827\/86742. Is 1 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1286.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 4*t + 6. Let n be f(4). Let p = n + 0. Suppose -4*b - i = -32, -33 = -5*b + 2*i - p. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 4:32 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 9:29 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/117 and -3\/130?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 84433 divided by 84433?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23.226886814 and 3552.\nAnswer: 3575.226886814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + j + 4. Let k(c) = -10*c**2 + 15*c + 27. Let s(q) = k(q) - 4*r(q). Let o(a) = -2*a**2 + 4*a + 4. What is -8*o(f) + 3*s(f)?\nAnswer: -2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - (0 - -2)) + -20. Let s be 1 + -11*(-2)\/b. Let m = 2 - 5. Sort s, m, 5 in ascending order.\nAnswer: m, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34103216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f + 70*f = 4*f - 808 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -101221002112 (base 3) to base 4\nAnswer: -310201103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n + 5. Calculate the remainder when w(6) is divided by (0 - 15\/(-6))*4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 11:07 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 135691 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.58 (b) -2 (c) -4 (d) 4 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 7) in base 3?\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -153.65753 and 0.3.\nAnswer: -153.35753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l - 9. Let s(x) = -x + 3. Let w(c) = -2*m(c) - 7*s(c). Let o(z) = 5*z - 16. Let r = -52 - -201. Let u = 151 - r. Determine u*o(g) - 11*w(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.084995.\nAnswer: -0.0084995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -48789.\nAnswer: -48789, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -1\/6*d**4 + 0 + 7\/6*d**3 + 0*d - 57*d**2 - 1\/60*d**5. Determine r(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*t - 2, 0 = -t + y - 2*y + 1. Let w = -1 - t. Let x = -88 + 88.2. What is the smallest value in x, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4\/2 - 900*i**3 - 134097*i**2 + 270900*i - 271803\/2 = 0. Calculate i.\nAnswer: -301, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k + 123 + 711 + 806 = 518 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23.2 - 25. Let s = c - -1.9. Let i = -2\/207 - 136\/207. What is the closest to s in 1\/2, 4\/5, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2*d + 6*d - 36, 0 = -5*a + 2*d + 138. Let k = -3 + a. Let y = 168 - k. Is y a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 - 18*c**3 - 84*c**2 + 98*c + 1029.\nAnswer: -(c - 3)*(c + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1625497910 divided by 4.\nAnswer: -812748955\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*n - 3*v, 24*n + 60*v + 40 = 64*v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440*u - 430*u - 3*u**3 + 870*u.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 96148463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000066705 rounded to 6 dps?\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-1\/56) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(14)\/sqrt(2) + 3*(sqrt(7) - sqrt(63)))**2 + -3.\nAnswer: 30*sqrt(7) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3891?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -272 + 157 + 121 + 164*d in the form v + b*d and give b.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-5))\/((-12)\/(-20064)*44)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/63*(-68796)\/2205.\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 108781 (b) 5 (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13029 = -14*u - 17705. Sort -2, 1, u.\nAnswer: u, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 10:39 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 7*b - 7. Let f be x(2). Suppose -a = -2*y - 250, -3*a - 2*a + f*y = -1236. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*n - 4*a, -25 = -0*n + n + 5*a. Let b = n + 10. Solve 3*x - 3*h = b, -2*x + 4*h = 3 + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -734*c - 3622. Let u be d(-5). Which is greater: u or 42?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 7*r - 3. Let h be p(-6). Suppose 75 - h = 4*z + 3*d, 2*d - 53 = -5*z. Suppose 4*n - z*n + 3175 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34276583 to the power of 1\/2, to the nearest integer?\nAnswer: 5855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 949299192.\nAnswer: 2, 3, 541, 24371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 1. Suppose g - 5*h - a = -4*g, 0 = -h + 2. Suppose 24 = 3*q - g*x, -4*x + 8*x = -12. Solve 0 = -4*t - q*i - 25, 2*t - 4*i + 0 = -6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845*s + 670*s - 10675 = 0 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 93*d**4 + 27*d**4 - 45*d**4 - 3*d**4 + 3*d**4 - 3*d**4 + (3*d - 2*d - 4*d)*(d**3 + 0*d**3 + 6*d**3).\nAnswer: 51*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 4. Let h(n) = -n**3 + 6*n**2 - n + 2. Let y be h(5). What is the remainder when ((-9)\/6)\/(-3)*y is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3013 is divided by 382.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.18692992 from -0.07.\nAnswer: -1.25692992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-750*r - 722*r + 4455*r - 1640*r)*(-r**2 + 3*r - 3*r) as i + x*r**3 + j*r**2 + v*r and give x.\nAnswer: -1343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005190492 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 7 - 18, 4*s - 52 = 4*q. Let z(r) = 3 + s*r - 3*r - 4*r. Suppose 5*t = 8 + 2. Let p(v) = -2. Calculate t*z(h) + 4*p(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -11488459.\nAnswer: -11488459.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -36. Let l = -31 + v. Let 5*m**3 + 10*m**l + 13*m**2 - 8*m**2 = 0. What is m?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 780, 1752, 3112?\nAnswer: 4860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -323*q + 1 + 604*q - 309*q. Determine b(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2. Let p(h) = -h**3 - 15*h**2 - 12*h + 30. Let l be p(-14). Let s(o) = o**2 + o. Let z(x) = l*n(x) - s(x). Calculate z(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -28*c + 21. Let y(i) = 5*i - 4. Calculate -2*d(w) - 11*y(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.8 times 245608?\nAnswer: -2406958.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + 11*m + 2. Let z be r(-6). Suppose 0*f - 4*f - z = -2*d, -16 = -5*f - 4*d. Solve f - 2 = 2*u, 4*u + 12 = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/7 + 702*i**2\/7 - 10848*i\/7 + 42880\/7.\nAnswer: -2*(i - 335)*(i - 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190 + 2*i**3 + 201 + 196 - 587.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 9 - 9 + 12*o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/3593 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/59836972 and 129\/1542190?\nAnswer: 299184860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -1\/3*u**4 + 0 + 1\/20*u**5 + u - 3\/2*u**2 - 1\/6*u**3. What is k(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107.8 + 82. Let n = -26 - g. Put -3, n, -3\/5 in descending order.\nAnswer: n, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4574467.\nAnswer: 4574467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + -3 + 2 + -3. Suppose n*w + 39 = -4*d, -3*d + 8*w = 3*w - 7. Let q = d - -6. Solve q = -4*x + k - 17, x + x + 25 = -5*k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 - -107. Calculate the remainder when d is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105 * 105.\nAnswer: 11025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23716 is divided by 11850.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 595?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooa when three letters picked without replacement from xojajxjjooxxoox.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3 and -85\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c - 40*c = 0. Solve -16*s + 14*s + 6 = c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 579519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 460 and 3040?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002102102 + -112?\nAnswer: -1002102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 11:42 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/3760852 and -25\/9668?\nAnswer: 3760852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-6)\/(-132)*-2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/(-4))\/(1\/12). List the prime factors of (2\/(-6))\/(2\/n).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 437\/4 + -2099\/20. What is the common denominator of -133\/6 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1949 - 2528.2. Round k to the nearest 10.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 993937.4mm in meters?\nAnswer: 993.9374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 118896?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -253 at least as big as -210144\/827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02158 to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2\/8 + 201110473*g\/8 = 0.\nAnswer: 0, 201110473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 8, 15, 26?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/900746946 and -75\/2.\nAnswer: 900746946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113 + 114. Let q = -17 - -14. Which is the nearest to i? (a) q (b) 0.4 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351a20 (base 11) in base 3?\nAnswer: 1001101200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (26\/(-2)*(-28)\/7)\/(-1). Which is greater: 2\/9 or h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r + 12 = 0. Let x be (-1)\/r*(-3)\/(-2). Factor 3\/4*q**3 - 1\/4*q**4 - 3\/4*q + x - 1\/4*q**2.\nAnswer: -(q - 2)*(q - 1)**2*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000247091 to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 13. Let r(g) = -6 + v + 4 + g**2 - 2*g. Does 2 divide r(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253776539 is divided by 430.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2706*0.424\nAnswer: -1147.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l**3 + 2*l + 1. Let k be 7 + -3 - -2 - -3. Let p = k + -10. Give h(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -820 + -2?\nAnswer: -822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k - 3. Let y(p) = p - 1. Let j(v) = -g(v) + 3*y(v). Let n(w) = -6*w. Let u(t) = 5*t. Let z(d) = -4*n(d) - 5*u(d). Determine z(j(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 305942 and 160966.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 16?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 16 = -68. Let g be (-60)\/154 + 16\/i. Factor -6\/11*x**3 + 10\/11*x**2 - g - 2\/11*x.\nAnswer: -2*(x - 1)**2*(3*x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1573) - (sqrt(1573) + 0)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/4)*b\/b**2*b**(3\/2)\/((b\/b**(3\/4))\/b*b*b)*((b*b\/(b*b**(-4)*b)*b)\/(b\/(b\/b**(2\/21))))**(-12) assuming b is positive.\nAnswer: b**(-845\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2288655 and 121905?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, h: 3, e: 1, l: 4, n: 1, o: 1}. What is prob of picking 1 o, 1 n, and 1 e?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*u**3*z**3 + u**3*z**2 - 2*u**3 - 15*u + z**2 wrt z?\nAnswer: -9*u**3*z**2 + 2*u**3*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.47 * -21242.\nAnswer: 94951.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = 12*z - 3388. Suppose 0 = 2*s + 3*c - z, s + s + 5*c = 154. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*u - 31*u + 120. Let y(o) = -u + o - 3*o - 6*o + 4*o. Let f be y(-10). Let r(z) = -z + 14. Give r(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8187 - -12611. List the prime factors of v.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from {i: 1, d: 1, x: 2, g: 1, r: 1, c: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 15 + -6 + -3 + -5 - (-47 + -1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - 0.28. Let o = 0.41125 - -2.58875. Let t = -11 - -7. Which is the third biggest value? (a) w (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1495, 1527, 1527, 1495, 1431, 1335, 1207?\nAnswer: 1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h**2 - 6*h**2 + 7 - 5*h - 2 + 6*h**2. Let d(w) be the second derivative of 7\/12*w**4 + 0 - 2*w - w**3 + 3*w**2. Determine 5*d(x) - 6*q(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 34 - 31*c**2 + 30 + 2*c**3 - 52 + 14*c. Let x be v(16). Suppose 43*t + x = 47*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10612.4 rounded to the nearest 100?\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 740019 to the power of 1\/2, to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1207?\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -992 + 2483 = -195*v - 302*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 17 = 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.54 + -0.46. Which is the third smallest value? (a) x (b) -1\/3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-99)\/44 - (-3)\/12) + 417. Suppose -7*g + 2*g = 90. Let v = k + g. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + 9. Let f(h) = 1 - 1 - n*h**2 + 29*h**2. Let v(a) = -5*a + 6. Let r(j) = -45*j + 55. Let m(z) = -6*r(z) + 55*v(z). Calculate m(f(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**8\/13440 - r**6\/480 - r**5\/120 - r**4\/12 - 3*r. Let w(x) be the third derivative of h(x). Factor w(d).\nAnswer: (d - 2)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3899, 6281, 8663?\n\"Answer: 2382*x + 1517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 69, -3\/5, -2\/9, -86, 1\/2?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 1\/3*f**3 + 3*f + 0 + 2*f**2. Calculate w(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/456 and -107\/25536?\nAnswer: 25536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701 = -114*l + 1955 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56\/(-26) - 8\/(-4). Let y = -1\/22 + 25\/66. What is the second biggest value in g, y, -1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 20036865.\nAnswer: 9\/6678955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 48. Suppose -5*h - 8 = -4*j - 18, -5*j + 1 = -4*h. Let d(b) = -h*b - 6*b + w*b. What is d(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-256)\/160*((-174)\/(-24) + -7) - 33\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0 = 12. Find the second derivative of v*g - 2*g**5 - 3*g + 3*g wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 + 0.81. Let w = 3.7 - s. Sort w, 5, -0.4 in descending order.\nAnswer: 5, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 1. Suppose -118*r - 75 = -103*r. Let m(t) = 6*t**2 + 2*t + 5. What is r*p(j) - m(j)?\nAnswer: -j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 4*q - 3*q)*(24 - 24 + 7*q) + (4*q - 3*q - 2*q)*(q + 0*q - 3*q) - 2*q**2 + 2*q**2 - q**2 in the form h + o*q**2 + m*q and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -114752351 minus -48?\nAnswer: -114752303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14420100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*r - 6*r. Suppose 3*b - 4 - 2 = 4*t, -t = r*b - 8. Suppose 6 - 16 = -b*k, 0 = -5*f - 5*k + 4610. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.59218 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -11 - (-59 + 33 - -48).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = r - 17, 2*z = -7*r + 5*r - 2. Let m be (123\/135 + -1)\/(0 + (-26)\/117). Which is the third smallest value? (a) -1\/3 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -287*d + 12. Let s be p(-1). What is the highest common factor of 46 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*q - 272*q**3 - 272*q**3 + 543*q**3 as n*q + s*q**2 + m*q**3 + v and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-116)\/5*305\/(-122). Solve -c - 64 = -i for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllllllvlvllllllll. Give prob of sequence vll.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9333 + 2774. Let r = t + 91919\/14. Let z = -1257 - -10005\/8. Calculate the common denominator of r and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118230 and 1655220.\nAnswer: 1655220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 4)*(4 + 17 + 3)*(20 - 47 + y + 22)*(-3*y**2 + 0*y**2 + y**2).\nAnswer: 144*y**3 - 720*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 33*p**2 + 11076*p - 4023. Give x(-336).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 262, 261, 264, 271?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/47? (a) -2\/7 (b) -5\/4 (c) -1 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 142587.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 899104738?\nAnswer: 2, 7, 17, 19, 198829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -64*d**3 + d**2 + d. Let v be n(-2). Suppose 6*z + 1816 = v. What is z rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - -2 - (24 - (10 + (-3 - -5)))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1763 - -1712. Suppose -5*d - 66 = z, 0*z + z + 45 = 2*d. Are z and n non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 - 33*s**2\/5 - 69*s\/5 - 7.\nAnswer: (s - 35)*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6\/8 + (-1932)\/(-48) + -8 and (-4)\/(-10) + (-301)\/(-35).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -7607 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**6\/120 + o**5\/12 - o**4\/4 + 6*o**2. Suppose c = -2*q + 4, 3*c = -0*q + q - 23. Let r be g(c). Which is bigger: r or -1\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**5 - 36*n**4 - 42*n**3 + 900*n**2 - 825*n = 0 for n.\nAnswer: -5, 0, 1, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q - 7*q**2 - 34546 + 48*q**2 + 34544 to b + z*q**2 + l*q and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(243)*3 + 4 + -5 + ((-1*sqrt(12))\/sqrt(4))**2*-6.\nAnswer: -24 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -57602 (base 8) to base 15\nAnswer: -73a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05 (b) 0.7 (c) -2\/5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 623, -4 in ascending order.\nAnswer: -4, -1, 623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 296 - 292. Solve -5*c - o = -3*c - 2*b, -2*c = -b + 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106690, -427210, -961554, -1709716, -2671690, -3847470, -5237050, -6840424?\nAnswer: -8657586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 1:01 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003819845889 rounded to 6 dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/15*1*(-32)\/32.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/6 - (-28)\/8. Suppose f*k = -0*k + 12. Let -2\/11*l**2 - 6\/11*l**k + 2\/11*l**5 + 0 + 6\/11*l**3 + 0*l = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*c = 4*d - 13, -51 = c - 12*d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -44, -18, 28, 100, 204?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-8)*(3904\/40 + -100).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 92*w**2 - 3*w - 2. Let a be u(-1). What is the third derivative of -3*v**5 + a*v**6 + 22*v**2 - 2*v + 13*v**5 - 10*v**5 wrt v?\nAnswer: 11160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 10*a + 17. Determine n(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 464118?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + -2*sqrt(539) - sqrt(539))*-1)**2.\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 157237 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 + -21. Let d be 3\/(-9)*(-1 + -2). Is 17 a factor of (2*d)\/((-4)\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-65)\/(-10))\/((-2)\/(-4)). What is the common denominator of -13 + i - (40\/42 + 1) and 55\/2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.88 times 4\nAnswer: -23.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/7))**37*(d**(-3)*d)\/(d\/d**(-1)))**(-4) assuming d is positive.\nAnswer: d**(408\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28907936371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21010 - -11212312?\nAnswer: 11233322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 323\/3, -5, -6\/13, 2\/45, -3?\nAnswer: 323\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 611 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -49.17 (c) 18.73 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-252770*f + 252770*f - 210*f**2)*(-f + 0*f + 3*f + (-2 - 2*f + 2)*(0 + 0 + 2)).\nAnswer: 420*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75*q*t - 40*q + 9*t**2 + 31 wrt t.\nAnswer: -75*q + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 1. Let g(t) = -3*t**2 - 5*t + 1. Determine -g(f) - 2*m(f).\nAnswer: 5*f**2 + 5*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56245\/414 - 2988\/23. Find the common denominator of m and -77\/2328.\nAnswer: 6984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -19*t + 41. Let d(o) = -59*o + 123. Let i(h) = -4*d(h) + 11*k(h). What is the units digit of i(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 - (148\/(-1) - -3)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -9, 6\/5, 0.02517, 3\/4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 161*n - 1. Let r be k(-1). Is r\/(-15) - (-2)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1662 and 9.4749.\nAnswer: 15747.2838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 134015421 - -10?\nAnswer: 134015431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 389?\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -9) + -6 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/1176 and 49\/108.\nAnswer: 10584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 461, 701, 959, 1241?\nAnswer: 1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -85622, -85623, -85624?\n\"Answer: -a - 85621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*1 + (3 - 1). Let u = 4.9 - -0.1. What is the third biggest value in -2\/5, u, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6301*i - 178105 - 232883 = -474651 - 925594 for i.\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 9*n - 168 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 247743373 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -20*h. Let p(r) = 5*r. Let n(b) = -100*b - 4682. Let t be n(-47). Determine t*p(k) + 4*u(k).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 1805701062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**3*t))**(3\/2) assuming t is positive.\nAnswer: t**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2325236 and 1076.\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 8. Let m = z - -19. Let w = m + -5. Which is the nearest to 1? (a) 4 (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13287?\nAnswer: 3, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000073993 to six decimal places.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -14. Solve 7*w - m*w - 13 = 4*p, 2*w - 10 = 4*p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2 - 9*x - 9. Let f(g) be the first derivative of -g**3\/3 + g**2 + 2*g - 28. What is -18*f(w) - 4*r(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (((-120)\/(-2) - (-16536)\/(-636)) + -1 + 0)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5009809.\nAnswer: 7, 102241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-24) - (-2)\/(-12). Let u(c) = r*c**2 + 2*c**2 - 3*c**2. Let o(g) = 4*g. What is o(u(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -39. What is the closest to 1 in -2\/11, 3\/2, l?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/184 > 4662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -271 divided by -4\nAnswer: 271\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 102 = 3*u - 66, -5*w + 81 = 2*u for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(14\/1904*2006).\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 250*l + 4002. Let f be h(-16). Factor 20 + 15\/2*g**3 - 15*g - 55\/2*g**f.\nAnswer: 5*(g - 4)*(g + 1)*(3*g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tztztztzttztttttzt. What is prob of picking 3 z?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1111 = -7*x - 390. Suppose 3*u - 5*k - 78 = 0, 2*k + 3*k = u - 26. Calculate the remainder when x is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j - 22. Let m be w(-12). Suppose -m*c = -5*c + 15. Suppose 25 = c*n - 35. What is the highest common factor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 494, 721, 940, 1145, 1330, 1489?\n\"Answer: -z**3 + 2*z**2 + 228*z + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m\/m**(-9))*m\/m**(-8)*(m**16*m*m*m)\/m**(-15) assuming m is positive.\nAnswer: m**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 3*i**2 + 6*i - 11. Let d be a(2). Suppose 18989 = 3*k - s + 2120, 0 = k + d*s - 5623. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -25, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than -0.130829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -51462.3 and 1378526.\nAnswer: 1327063.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250508103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 517583731 take away 132?\nAnswer: 517583599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209 = -3*z + 194 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, n: 7}. What is prob of picking 4 b?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (32 + 33 - (-1 - 5)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -3 + 0 + 2. Let l(f) be the first derivative of 2*f - 1\/3*f**3 - n + 0*f**2 - 1\/2*f**4. Let h(b) = b - 1. Determine -2*h(p) - l(p).\nAnswer: 2*p**3 + p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1123\/1161 + -40\/43. Let s(u) be the second derivative of -r*u**4 + 0*u**2 - 7*u + 0 - 2\/27*u**3. Factor s(z).\nAnswer: -4*z*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + w - w)*(-1133*w**2 - 666*w + 666*w) to the form m*w**3 + d + z*w**2 + q*w and give m.\nAnswer: -1133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 6*m + 6. Let g(d) = 2*d**2 - 5*d + 5. Suppose 0 = 3*l, -4*n - l - 1 = 19. Let x(j) = n*y(j) + 6*g(j). Let i(q) = -2*q. Calculate i(x(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 355200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrvlzl. What is prob of sequence vl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7182)\/(-168))\/(-9*(-9)\/108).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -2*o**5\/5 + 5*o**4\/2 - 6*o**3 + 7*o**2 - 4*o + 4. Suppose r(p) = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**3\/6 + 2*g**2 - g. Suppose -8 = -5*h - 3*z, 0 = 4*h + 3*z + z. Determine n(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 92.\nAnswer: 91.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -3*f - 7*h + 19744, -32960 = -5*f - 4*h. Suppose -2*s + 20*s - f = 0. List the prime factors of s.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.09 + 9.84. Let m = c + 0.25. Let y = -9.99993 + m. What is y rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**3\/3 + 290*p**2\/3 = 0.\nAnswer: -145, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22921354602161 and 0.2.\nAnswer: -22921354602160.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*9*210\/(-1323)*7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -56, -4?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -298 less than 558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76454?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27886 is divided by 5421?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 5*t + 2*t + t**2)*(-8 + t + 8)*(-2430*t + 937*t + 1013*t + (-4*t + 3*t + 0*t)*(4 - 2 + 0)).\nAnswer: -482*t**4 - 482*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878*b = -34885 + 12057 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2158 and -68\/9711.\nAnswer: 19422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-15)*18\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -23\/523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -188 divided by -1\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8510075*s**2 + 929930*s wrt s.\nAnswer: 17020150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223488561.\nAnswer: 3, 2389, 31183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (16\/12)\/(3\/54) and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660 = 72*u - 3444. Suppose 0 = 2*v + r + 1, v = -3*v + 3*r + 23. What is the remainder when u is divided by 31 - (-2 + 2 + v)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/4*(-2)\/(-12).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601 = -62*f + 32*f + 59*f - 21 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*k + 17 - 143 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70672240?\nAnswer: 2, 5, 401, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 25*d - 27. Let t be v(30). Do -177 and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 4*y**2 + 7*y - 6. Let r be q(5). Let t = 7 - r. Let m(n) = n**3 + n**2 + 2. Let c be m(0). Calculate the highest common factor of t and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 7. Let j be k(4). Suppose 2*a - 177 + 39 = 4*r, 0 = -a + j*r + 73. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8090 + -8090. Let q = -0.3 - -0.1. Let x = 0.3 + q. Which is the smallest value? (a) o (b) x (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.2, 1\/20, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**2 - 2*s - 3. Let n be o(-1). Let r(u) be the second derivative of 2\/21*u**n + 0 + 0*u**2 + 4*u + 1\/21*u**3. Solve r(j) = 0 for j.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/576 and -109\/29796.\nAnswer: 1430208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6720, 13421, 20122, 26823?\nAnswer: 33524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*k + 36, -4*i + k + 28 = -3*k. What is the third smallest value in i, -2\/3, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3517887 a multiple of 884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 0)*(-33*n + 3*n**4 + 33*n) as g + k*n + r*n**2 + z*n**4 + x*n**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 254 + -252. What is the nearest to -0.1 in d, 0.05, 0.5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 223*i + 327. What are the prime factors of p(5)?\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, -8, 2, -12, 5, -49 in ascending order.\nAnswer: -126, -49, -12, -8, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 + 98*x**2 + 378*x + 739. Calculate s(-45).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 279 or 273?\nAnswer: 273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 2033\nAnswer: 7\/2033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11)\/33)\/((-2)\/9132). Suppose 0 = -2*z - 0*z - 25756. Let m = k - z. Round m to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -284\/55 - 51\/11. Calculate the common denominator of q and (66 + 2 + 0)\/(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 + 34022*v\/5 - 475916\/5.\nAnswer: -2*(v - 16997)*(v - 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 192\/286 - (-212)\/(-689). Which is the second smallest value? (a) 0 (b) 4 (c) -2\/7 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(-3 + (((sqrt(65) + sqrt(65)*-2)*5 - sqrt(65))*6)\/(sqrt(55)\/(sqrt(11)*-1*-3))))**2.\nAnswer: -32754456 - 139968*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3953066*z**4 + 1140165*z.\nAnswer: 47436792*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 272 (base 10) to base 14\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/13 - 6\/(-39). Which is the third biggest value? (a) z (b) -0.3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a day in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/342)\/(-165 + 358126\/2169)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.301685 millilitres?\nAnswer: 0.002301685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3285, 4478, 6465, 9246, 12821, 17190?\nAnswer: 22353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187356560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34075 by 3.\nAnswer: 34075\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2267829 to the nearest integer?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1.8. Let j = 116 - 115.97. Which is the third biggest value? (a) 4 (b) n (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38772.15 seconds to milliseconds.\nAnswer: 38772150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-6))\/(5\/(-20)). Does 28 divide (i - -12)\/(3\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2088, -4124, -6108, -8040?\nAnswer: -9920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 11:50 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h**5 - 1431*h**4 - 2430*h**3 = 0. Calculate h.\nAnswer: -18\/11, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1 (c) 5\/76 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1984017 is divided by 31492.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1788*s**2 + 2 + 630*s**2 + 2 + 2*s**3 - 6 - 1517*s**2 as i*s**3 + a*s + k + t*s**2 and give t.\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*z - z - 4*q, -5*q + 95 = 5*z. Let s = z - 24. Let f be s + 3 + 9 + -4. Solve -f*b + 8 = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, b: 1, v: 12, k: 2, f: 3, w: 1}. What is prob of sequence bccv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 14 (c) 8 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -11*h - 1. Let v be h\/(2 + (-18)\/8). Sort 0.2, 2\/3, -0.25, v in decreasing order.\nAnswer: v, 2\/3, 0.2, -0.25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/1 + (-9 - -45). Suppose -2*o + 4*g = 5*g + i, -41 = o + 5*g. Which is smaller: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 864200 by 1192.\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*u + 5*y + 16, u = 5*y + 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 4*r**3 - 4*r**3)*(-2 + 2 - 2) - 42*r**3 + 105*r**3 - 179*r**3.\nAnswer: -118*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 95857 to the power of 1\/2, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014769 to 6 decimal places.\nAnswer: -0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1322 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 6 - 4)*(0 - 2 + 1) + 1 - 2 + 3 + 2 - 3 + 3)*(-11*r**4 - 14*r**2 + 14*r**2).\nAnswer: -22*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = 14*c + 12. Suppose c*t - 25 = -b - 2*t, -t + 100 = 4*b. What is the remainder when 85 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**3\/3 - 81. Let i(b) = b**2 - b - 1. Give -i(u) - y(u).\nAnswer: -2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -4 + -3 + -2 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -y - b, 0 = 5*y - 7*y + 5*b + 73. Suppose -5*l + 665 = 5*k, 3*k + 6*l - l = 401. Let w = k + -96. Calculate the least common multiple of w and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/18)\/((-32)\/80*(-15)\/27).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 5\/2 (b) -0.06 (c) -1\/7 (d) 16.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 302.62*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(-114 - 26*x**2 + 114).\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l - 48. Let y be k(-8). Let m(t) be the third derivative of t**6\/120 - 7*t**5\/60 - 5*t**4\/12 + 4*t**3\/3 - 9*t**2. Determine m(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22851 (base 9) in base 11?\nAnswer: 10526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2516021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 8*x = -23*x + 324 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*t - 2 - 7*t)*(0*t**4 + t**4 - 2 - 5).\nAnswer: -9*t**5 + t**4 + 63*t - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 47, 6, -0.2, 0 in descending order.\nAnswer: 47, 6, 2\/17, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 8:44 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**2 - 10*c + 8. Let m(w) = w**2 - w. Let o(d) = f(d) - 2*m(d). Let q(b) = b - 1. Let t(g) = -o(g) - 8*q(g). Let y(n) = -2*n. Give y(t(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + f + 2. Let h = -15 - -17. Let w be k(h). Let z(l) be the third derivative of -l**5\/60 + l**4\/24 - 5*l**3\/6 - 14*l**2. Calculate z(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*m + 10. Suppose -10 = -m*g + 2*u + 12, -12 = -g + 2*u. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1542478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13*1 + (-189)\/(486\/18). Let b(g) = -2*g + 6. Let p(s) be the first derivative of s**2\/2 - 5*s - 3. Determine n*b(h) + 7*p(h).\nAnswer: -5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 227 - 1?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.05952651 to 3 decimal places.\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 16*d + 18. Let q be r(16). Let g be 4\/14 + (-749)\/49. Let i = g + q. What is the third smallest value in 2, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -61.1, 8, 5, -1, 1307, -2\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 12:51 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/13))**(2\/3)\/((((((q*q**4)\/q)\/q*q)\/q*q)\/q)\/q**(-8)) assuming q is positive.\nAnswer: q**(-427\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 4*j - 19, -3*j + 12 = -k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 421?\nAnswer: -42.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**3\/6 - 8*f. Let t = -3 - -6. Give m(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1668 = -4*n. Does 31 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*a + 69, -2*a - 3*a - c + 77 = 0. Let j = 18 - a. Suppose j = s + 1. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161117*-5.\nAnswer: 805585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 0.0093065\nAnswer: 0.074452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -10*q + 23 - 32 + 9*q. Calculate t(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194112 is divided by 38808?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 338066\/4187 and 80 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s*(s**(-23)\/s)\/s)\/s))\/s)\/(s\/s**(-14)*s))\/(s**(-7)\/(s\/s**(-6))) assuming s is positive.\nAnswer: s**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/3140 and 103\/180.\nAnswer: 28260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 - 2*m**2 - 5*m + 10. Let t(f) = f**3 - 3*f**2 - 5*f - 1. Let u be t(4). Is l(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 24 + 13)*(k + 3 - 3).\nAnswer: 31*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 7*h**2 - 4*h + 16. Determine b(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 267, -4\/13, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -11. Find z such that 5*z**2 + z**2 - m - 12*z - z**2 + 2*z = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3722 or 3690?\nAnswer: 3690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - c**2 + 2. Let a be r(2). Let p be (-5)\/(-3)*a\/(-3). Solve -16 = 2*d + 5*v - v, 0 = -d + 4*v + p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 13 + 4*j - j.\nAnswer: 3*j + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/18)\/(1\/33). Let d(p) = p - f + 11. Let y(i) = 4*i**2. Give y(d(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 3*o**2 - o - 132. Give h(0).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2, 2\/5, -1, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**5\/80 + n**4\/12 + 5*n**3\/24 + n**2\/4 + 3*n. Let o(t) = 0. What is t?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -2*sqrt(612) - (-2 + sqrt(612))*-2) + -6*(sqrt(612) + sqrt(612) + -2 + sqrt(612)) + (sqrt(612) - (1 + sqrt(612))*-5))**2*-4 + -1.\nAnswer: -353809 + 10368*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -13 + 2\/2 + (21 - 17). Let k = 3 + -1. Sort c, k, 0.\nAnswer: c, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/28)\/(258\/(-674)). Let p = -1\/172 + x. Let z = -3 - -31\/9. Put 5, z, p in descending order.\nAnswer: 5, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.4 in 0.3, 2, -18.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 21 - (-9 - (10 - 7 - 7)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*f - 13*f - 26*f to z + g*f and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -681 + 676.01. Let o = k - 0.01. Which is the second smallest value? (a) o (b) 0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 + -53. Let x = q + -57. Let c be (-2)\/(-85)*x\/21. Is c <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 156, 31, -1, -6, 2, -4 in descending order.\nAnswer: 156, 31, 14, 2, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61.1 and 41.6.\nAnswer: -2541.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(54)\/(sqrt(18)\/sqrt(3))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*p + 3 = 0. Let i be (1\/p)\/(3\/99). Let t = i - -31. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 10 + 1 = 0. Is -1 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, r: 4, x: 1, e: 4}. Give prob of picking 3 r.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7*-12*2\/(-28). Let x(o) = -15*o - 1. Is 34 a factor of x(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 2*t**3\/3 + 9*t**2\/2 - 499*t. Determine d(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m. Let j(y) = -5*y**2 + 2*y + 2. Let o(w) = -15*w**2 + 7*w + 7. Let k(x) = -14*j(x) + 4*o(x). Give q(k(l)).\nAnswer: -70*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -136615.616 - -389250.\nAnswer: 252634.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - y**3 - 802 - 1184 + 422*y**2 - 3591*y + 189 - 2213*y**2.\nAnswer: 3*(y - 599)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from {o: 12, q: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1128 divide 17409552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -254931551*f + 585265507?\nAnswer: -254931551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -5, 10614.\nAnswer: -116, -5, 10614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44899?\nAnswer: 59, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 113.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 403853279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/11*z**2 + 0 + 2\/11*z = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.09 + -4. Let f = 352 - 347.91. Let b = f - u. Is -0.1 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-564)\/(-534))\/(182\/96499). Let v = y - 560. Is v greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 8:23 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0409276573 to six decimal places.\nAnswer: 0.040928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/7, 2, 1\/611?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21622, -43000, -64378, -85756, -107134?\nAnswer: -128512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5 - 0. Suppose m*g + 93 = -57. Let h = 60 + g. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*m*s**4 + 82*m*s**3 + 12769*m*s**2 + 2*m*s - 23*s**4 - 3*s**2 - 8*s wrt s.\nAnswer: -1560*m*s + 492*m - 552*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1408)\/(-224) - (-9)\/(252\/(-8)). Solve -o*q = 319 - 289 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 316964 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/((-9)\/90). Solve -u*j + 14 = h, -j + 3*h - 3 = -3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1081280381\/1206 - 896584. What is the common denominator of r and -17\/12?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z + 68 = 28*z. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34.24 + 34. Let i = -0.21 - p. Round i to three decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 18*m - 121. Solve -d + 10 = m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15\/4? (a) 42 (b) -0.25 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143754083.\nAnswer: 3, 31, 4099477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*b + 4*j + 16, -2*j - 16 = 0. Factor -52\/5*v - 46\/5*v**b - 8\/5 - 11\/5*v**3.\nAnswer: -(v + 2)**2*(11*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -645 divided by -5?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.39 and 0.76985?\nAnswer: -1.0700915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 12. Let m be o(8). Suppose 5*f - b - 2 - m = 0, -f - b = -8. Suppose 2*z - 5*c - 130 = 0, 3*z + 7 - 192 = f*c. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4) - (-56)\/32.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18344, -36700, -55062, -73430, -91804?\nAnswer: -110184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2447.41652 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -429.5*0.045.\nAnswer: -19.3275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*y = -5*y + 4, 3*r + 2*y = -2. Suppose 4 = -0*m + r*m. What is o in 2 - o**m + 5 - 5 + o = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 273848\/322905 + 4\/9785. Find the common denominator of 37\/105 and g.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -260\/161 + -176419\/322. Let f = k + 549. Suppose 0 = -5*q - 3*l - 36, l = -5*q + 5*l - 22. Which is bigger: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*z + 93*z = 50310. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -354 + 5312\/15. Let w(m) = -2*m + 8. Let y be w(7). Let j be ((-2)\/(-4))\/(y\/4). Which is the closest to -1? (a) -1 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 523 + -185. Calculate the lowest common multiple of m and 7.\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -544*l**5 + 102*l**4 + 2*l**2 + 442*l + 51?\nAnswer: -10880*l**3 + 1224*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*5\/(45\/6). Let q be (-4 - -8)\/(-16) - (-2 + g). Which is the biggest value? (a) -2\/23 (b) 2\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/17, 7\/15?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*z = 105*z + 60. Let v(k) = -k**2 + 6*k - 3. Determine v(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311.4234 milligrams in kilograms?\nAnswer: 0.0003114234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*n = -2*n + 952, 0 = 2*f - 3*n + 631. Let u = f + 529. Suppose -2*j - 2*j + u = 0. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 - 3*c**4 + 5*c**4 - 790 + 782 to the form h*c**4 + l + w*c + o*c**2 + z*c**3 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5060.089112 - 5060. Let v = -0.089 + c. Round v to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 3. Let w(l) = 9*l - 7. Let c(t) = -13*t + 10. Let k(b) = f*w(b) + 5*c(b). What is the first derivative of k(s) wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7878116 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5666.84nm to centimeters.\nAnswer: 0.000566684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5402814 hours to days.\nAnswer: 0.022511725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 23, 0, -45, -118, -225?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 89760, 89758, 89756, 89754?\n\"Answer: -2*r + 89762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -0.1, 0.1, 0.02411, -1\/15, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -329*a**4 + 230*a**2 + 4906383 wrt a?\nAnswer: -1316*a**3 + 460*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 4*c + 4*c)*(1701 + 2338 + 1629 + 599 - 949).\nAnswer: 10636*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 2\/11, 8.\nAnswer: 0.07, 2\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3726.999998074 + 3727. What is c rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 12:40 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -56*h**2 + 2*h + 2. Give w(-1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -15, -33, -57, -87, -123, -165?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 19*z - 7. Let u be g(4). Let q = 72 - u. Solve 2*s + 12 - 1 = q*d, -5*s + 10 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**4\/3 - 20578*k**3\/3 + 144136*k**2\/3 - 27464*k - 82368 = 0.\nAnswer: -10296, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*z + 855*z + 569*z.\nAnswer: 1092*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/93 and -113\/310.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) -0.4 (c) 44 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1282407 and 1282413 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 + 52. Let o(k) = -k**2 - 13. Calculate 2*f(t) + 9*o(t).\nAnswer: t**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b. Let p = 4 + 11. Let c(t) = -7*t + 1. Let r(k) = p*m(k) - 3*c(k). What are the prime factors of r(7)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*g**2 + 3*g**4 - 4*g**4 - 2*g**4 + 6*g**4 + 2 - 3*g**3 - 2*g**4 + 9*g to the form w + p*g**3 + c*g**4 + v*g**2 + q*g and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1.9. Let n = 24.57 + -24. Let u = n - 0.27. Which is the nearest to 0.1? (a) d (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-15) - (-2)\/(-10). Let q be 1\/2 + 276\/8. Let l = 32 - q. Sort 4, l, h.\nAnswer: l, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4554)\/(-8349) - (-4)\/(-22).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*c + 7. Let l(j) be the first derivative of j**c - 2 - 2 + 7 - j**2. Find the second derivative of l(d) wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*f + 18. Suppose -4377 + 4317 = -15*l. Solve -b + 4*c - f + 16 = 0, l*c + 8 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + -12. Let x be 118\/3*w\/(-10). Suppose -171 = -2*v - x. Calculate the highest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*b - 42 - 9 = 0, -o + 5*b = -1. Let j = 14 + o. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 344 and (-66)\/(-18) - 76\/114 - -309*5.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.075 + 0.925. What is the fourth smallest value in 2\/25, -5, d, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 16. Let s be c(-7). Let n(a) = 4*a**2 + 21*a**2 + 3*a - 11 - a - 26*a**2 - 14*a. Determine n(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 19*n**5\/60 - n**4\/24 + 2*n**3\/3 + 3*n**2. Calculate the least common multiple of f(2) and 2.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**(-22\/9) assuming t is positive.\nAnswer: t**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11258.46336 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsw when three letters picked without replacement from {j: 1, a: 1, w: 3, t: 2, s: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-2) + -68 + (-8001)\/(-126).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0383 - -0.0617. Is 12\/5 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) -6\/7 (b) 0.2 (c) -1\/13 (d) 1.4 (e) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (3 + -5 + -1). Factor q**3 - 3*q + 7*q - 5*q + y*q.\nAnswer: q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -625, -1\/2, -391, -50, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113832484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*a + 21 + 7, k + 3*a - 3 = 0. Let t(y) be the first derivative of 2*y**3 - 1\/4*y**4 + 22 - 1\/2*y**2 - y. Give t(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -10000100101101010?\nAnswer: -10000100101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 68 + 35)*(0 - 1 + 2)*(2 - 2 + n) - 2 + 4*n + 2.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45*15\/(-1350))\/((65\/(-790))\/13).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/((28\/120)\/(-7)). Suppose -7*r + 2*r + d = 0. Suppose x + x = -g + 46, 4*g + 4*x = r. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1462302 rounded to one dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5, -0.2, -3\/7, -8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/7)*s\/((s*(s\/s**(-5))\/s)\/s))**(1\/14) assuming s is positive.\nAnswer: s**(-29\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/24*3)\/((-3)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 13*x**2. Let i(z) = -83*z**2. Determine i(q(b)).\nAnswer: -14027*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13209?\nAnswer: 3, 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 317242 + 159042. Suppose -5*f = 5, -2*f + 0*f = -2*u - 136140. Let b = q + u. What is b rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 0.691\nAnswer: 0.03455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*o + w - 18, 9 = o + 3*w. Suppose o*x = 4*x + 20, 3*x - 24 = -2*f. Calculate the remainder when 63 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400*n**3 - 3*n + 4*n**2 - 4*n**2 + 105*n**3.\nAnswer: -295*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*g)*(-3*g**3 + g**3 + 6*g**3 + (3 - 4 - 4 + (4 - 2 - 3)*(-1 + 5 - 3) + 3 - 1 - 1)*(0*g**3 - 3*g**3 + g**3)).\nAnswer: 28*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 9:37 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + -6*-3*sqrt(88) - (-2*sqrt(88) + sqrt(88))*-6)\/((sqrt(392) + (sqrt(392) + sqrt(392)*1)*-6 - sqrt(392) - sqrt(392))*-2).\nAnswer: sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9966 - 9970. Let l = 43 - 257\/6. Sort n, 2\/15, l, 2\/5 in descending order.\nAnswer: 2\/5, l, 2\/15, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -665 divided by 665\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((3 - 1) + -5)*-1. Suppose r*o = -4*h + 21, -o - 35 = -3*h - 3. What is the remainder when h is divided by ((-39)\/(-52))\/(1\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvxchcb. Give prob of picking 1 b and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -8. What is the common denominator of h\/(-4) + 2\/(800\/(-156)) and -29\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 + -2?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 390106925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 2*r = 52. Let a(q) = q**2 - 2*q + 14. Let i(v) = 3*v**2 - 7*v + 41. Let s(c) = r*i(c) + 11*a(c). Determine s(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2642*r + 129984 = 5978*r - 496*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfbac. Give prob of picking 1 a and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4503 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/130, 0.1, -4, -0.2, -5.\nAnswer: -5, -4, -0.2, 1\/130, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7 and 0.138.\nAnswer: -6.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/59)\/(v**(-6\/11)\/v*v)*(v*(v*v**(-18))\/v)**(-3\/7) assuming v is positive.\nAnswer: v**(35423\/4543)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7970, -7980, -7980, -7970?\nAnswer: -7950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 170*z - 342. Let n be a(2). Is n > -120\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2673 is divided by 107.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 14909892?\nAnswer: 14909894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 2*j + 10, -y - 3*j = 12 - 38 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7085*z**5 + 488730*z + 55 - 977476*z + 488740*z wrt z?\nAnswer: 141700*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057255 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -39. Let l be (-9)\/6*40\/z. Suppose -17916604 - 2083396 = l*a. What is a rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1650 by 8.\nAnswer: 825\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1294, -2553, -3812, -5071?\n\"Answer: -1259*n - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56 + 7 - 41 + 32*r**3 + 16 wrt r.\nAnswer: 96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n**3 - 5*n**3 + 22*n**3)*(-8*n + 11*n + 1 - 2*n**2 - 2*n).\nAnswer: -52*n**5 + 26*n**4 + 26*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*m + 209*m + 2*x = -1733, 5*m = -4*x + 8623. Does 157 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -13. Let g = 19.9 - i. Let o = -4 + 6. Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 1. Let j(t) = t**3 - 10*t**2 - 37*t + 14. Let x(w) = -j(w) + 6*o(w). Let p be x(18). Let c be (19\/5 + -5)*5\/p. Solve -c = 2*v - 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-3\/7)\/b)\/b*b**3)**(-2\/3))**(-46) assuming b is positive.\nAnswer: b**(368\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11966563 rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 122753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 40*m - 46. Let r be q(-19). Let n(j) = -j - 2. Give n(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-12893\nAnswer: -64465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/2)\/((-3)\/8). Solve -o - o + 6 = -w*u, 2*u + 3*o = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**3 - 3*i**2 - 2*i. Let p be n(-1). What is the highest common factor of p and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from {w: 3, n: 2, g: 1, o: 3, a: 1, f: 3}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -288. What is the remainder when i is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1699001 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 13*g**2 - 9*g - 20. Let z be c(12). Let d be 12\/z*1 - 43\/4. Let j = 76\/3 - 26. Which is greater: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1983 and 321?\nAnswer: 212181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 - -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 divided by -460688.\nAnswer: -81\/460688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 87 = -2*w, 21*w + 311 = 15*w + 53*w + 18*w + 2*k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*c + 1 - 3 + 2 = 0. Are c and -25\/23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bfffbffgffffgfffgbgf.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*b + 10, -3834*b + 2*k - 19 = -3837*b. Find r, given that -1119\/7*r**2 - 11532\/7 + 34968\/7*r + 9\/7*r**b = 0.\nAnswer: 1\/3, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 319493096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.03 - 0.03. Let s = -41.928 + 42. Let q = s + 0.028. Which is the nearest to q? (a) -5 (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -11*x**4\/6 - x**2 + 13*x - 1. Let q(c) = -6*c. Calculate w(q(z)).\nAnswer: -792*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10710000 rounded to the nearest 100000?\nAnswer: -10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -181 + 5?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**5 - 232998*z**4\/5 + 4*z**3 + 465996*z**2\/5 - 2*z - 232998\/5 = 0?\nAnswer: -116499\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, 58 in increasing order.\nAnswer: -8, 2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2601.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.37 - -0.87. Let h = -9625 + 837398\/87. Let s = -2\/29 - h. Which is the third smallest value? (a) s (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 + -23. Let i = 212 - -332. What is the greatest common factor of i and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45\/2*t**3 + 45\/2*t - 20 + 35\/2*t**2 + 5\/2*t**4 = 0 for t.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 5)*(-3*r + 5*r - 3*r) + 2491 - 4985 + 2543 + 12*r as v*r + p and give p.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i. Let g(l) = 25*l + l**2 - 25*l - 2*l**2. Calculate x(g(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004534 rounded to 7 dps?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1115 = 5*l, -l - 4*n - 45 + 268 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 19}. Give prob of sequence ms.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17006206 (base 8) in base 4?\nAnswer: -33000302012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -53225 (base 6) in base 5?\nAnswer: -212332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 14970*x + 44883.\nAnswer: 3*(x + 3)*(x + 4987)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -28270 divided by -5654?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 1. Let c be 4*(-14)\/21*30\/(-4). Let y be 16\/(-40)*(-3)\/((-6)\/c). Calculate r(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + -11 - (-37 + 26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -66*b**2 - 3*b + 18. Let w(t) = -19*t**2 - t + 5. Determine 5*v(l) - 18*w(l).\nAnswer: 12*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 11 + 72)*((0*d + d + d)*(-2 + 0 + 0) - 2*d - 4*d + 5*d).\nAnswer: -290*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101215850 divided by 101215850?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/24*-2*-4. Let a = -5\/11 - -67\/99. Which is smaller: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1402.1, -0.2, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199818, 1598701, 5395760, 12790113, 24980878?\nAnswer: 43167173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1583, 1630, 1677, 1724, 1771, 1818?\n\"Answer: 47*s + 1536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 20*b - 14. Let h be f(9). What is the third biggest value in h, 1, 155?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1653 and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -3, -4 in increasing order.\nAnswer: -5, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -37, -42, -47, -52, -57?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j - 3*b + 2482 = 0, j + 4*b - 2483 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (25 - (-1 - 2)) + 1. Let y = f - 26. Let d(j) = -3*j**3 - 5*j**2 - 3*j + 9. Let b(o) = 2*o**3 + 3*o**2 + 2*o - 5. Give y*d(q) + 5*b(q).\nAnswer: q**3 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 6 = -4*i - 3*h, -4*i - 5*h = 10. Suppose 0*m - 2*m + 20 = i. Does 10 divide (-2)\/10 - (-202)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5\/7 - 88320*s**4\/7 + 975052800*s**3\/7.\nAnswer: 2*s**3*(s - 22080)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -384 + 474. Which is the smallest value? (a) 5 (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153\/(-34)*-406*1\/3.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -520863 at most -520880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*q + 110 = -49, -4*q + 78 = 2*i. What is the first derivative of -i*t - 5*t - 14 - 44*t + 122 wrt t?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -6\/61, -1.1, 0.08, 1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3*f = 3*r - 3, -5*f - 20 = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*h - 31, 8*i - 5*i - 14 = -h. Solve 5*k = i*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 7*s**2 - 56*s + 26. Give t(8).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 39 = -3*b, -56 = -0*c - 5*c - 4*b. Suppose -p + 0 = 3, 0 = w - 4*p - c. Suppose -s + 9 = -w*s. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -721 - 6.\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -307 in -2, -0.16, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 3*m**2 + 4*m**2)*(2*m - m + 6115*m**2 - 5617*m**2).\nAnswer: -498*m**4 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (0 + -7 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*sqrt(170)*1)\/((sqrt(640) - (1*sqrt(640) - sqrt(640))) + sqrt(640)).\nAnswer: -5 - 5*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.36 + -0.86. Let j = 12.2 + -11.7. Which is the nearest to -1? (a) j (b) -1\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 0.4, -2354, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26\/5 of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000140828426 rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 101 * -4\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*z = -223*z - 360. Suppose 41*r = 29*r + z. Solve 4*y + 3 + r = 0, -1 = -p + y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3835.63175 + 0.4?\nAnswer: -3835.23175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**5 - 36*t**4 - 36*t**3 + 756*t**2 - 3888 = 0.\nAnswer: -3, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*x - 28*x - 11 - 131 + 13*x to the form p*x + h and give h.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 - 3075*w\/2 - 16852.\nAnswer: -(w + 11)*(w + 3064)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 1. Let k be h(8). Let b = k - -15. Suppose -d + 34 = 5*t, t - 18 + b = 5*d. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-9))\/((-3)\/5769) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129104 is divided by 30335.\nAnswer: 7764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -964062, -964045, -964008, -963945, -963850, -963717?\nAnswer: -963540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, g: 1, l: 11}. What is prob of sequence yl?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5350460, -5350462, -5350464?\n\"Answer: -2*o - 5350458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 3*i - h, 41 = i + h + 4*h. What are the prime factors of (i\/4)\/((-8)\/(-16))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 9:22 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 12:33 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n - 20. Suppose -n*b - 3*x = 7, -4*b + 5*x + 31 = -2. Let m(f) = f**3 + f**2 + 3*f - 1. Is 12 a factor of m(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3408634919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 67 = 3*t + y, 0 = t + 3*y + 18. What is the units digit of 139\/(t\/(-6) - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 13513.1851 and -10465.59.\nAnswer: 3047.5951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**5\/90 - 5*q**4\/36 - 4*q**3\/9 + 6*q**2. Factor g(i).\nAnswer: -2*(i + 1)*(i + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2 - 642*w + 18044 = 0. What is w?\nAnswer: -347, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 143 = -5*b + 758. What is the highest common factor of 2173 and b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*((m*m*m*m**(-2\/57))\/m)\/m)\/((m\/((m*m**11\/m)\/m))\/(m**(-23\/2)*m)) assuming m is positive.\nAnswer: m**(-631\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1131)\/221 + -5*4\/(-170). What is the closest to t in -1, 3\/17, -2\/13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-102)\/(-119))\/(-6))\/(3\/21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -389, -383, -373, -359?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**9*t)\/t*t**3)**9)**(-26))**(18\/7) assuming t is positive.\nAnswer: t**(-50544\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 253045 (base 6) to base 14\nAnswer: 83c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*m + 41. Suppose 5*l = 3*p - 21, -m*l - 3*p + 2*p - 13 = 0. Let r(d) = -2*d**2 - 5*d - 3. What is r(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -396\/2605 - -142537\/797130. Find the common denominator of n and 5\/2.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 9:18 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3876)\/12920*(10\/24)\/(-1)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 4:04 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9*t**3 - t**2 + 5. Let a(s) = 5*s**3 - s**2 + 3. Let u(c) = 16*c - 133. Let l be u(8). Calculate l*a(f) + 3*d(f).\nAnswer: 2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -32*k - 68 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -83228 (base 10) to base 5\nAnswer: -10130403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**2\/2 - 44. Let s(u) = -39*u. Calculate c(s(v)).\nAnswer: 39*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04104 + 0.04. Round m to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 370602 by -72.\nAnswer: -20589\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43813 + -25113. Does 110 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r. Let w(v) = -12*v + 53. Let y(m) = 5*n(m) + w(m). Calculate y(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4698*-0.5.\nAnswer: 0.2349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98146404?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - 3*d - d)*(-4 - 2 + 5 - d) in the form v*d + b + m*d**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.6931 to one dp.\nAnswer: -22.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270)\/(-72))\/((-27)\/36).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.01 + 0.01. Let c = w + 14.3. Let a = c + 0.7. What is the smallest value in a, 0.2, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s - 459 = -68*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 + 2 - 3*x**3 - x**4 - x + 3*x to the form f + s*x**2 + v*x**3 + g*x**4 + o*x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -12*a - a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 394311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 4*t + 1. Suppose 0 = -8*f + 4*f + 16. Give d(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.72 - 2.44. Let f = -217 - -216.759. Let o = f + k. What is o rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7904?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -0*q + 9, 4*f - 33*q + 27 = -46*q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 55. Let n be y(-31). Let v(w) = 12*w**2 - 17*w - 14. What is the tens digit of v(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 4*s**2 - 4*s + 1. Let n be (-2)\/(-4) - (-36)\/8. What are the prime factors of z(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26407169 equal to -26407173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*g - 22820, 5 = 5*g - 15. Does 24 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**3 - 3*v**2 + 59*v + 172. Give b(-3).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*d + 2*p, d - 21*p - 6 = -26*p. Solve 5*l = d - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 5) to base 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1586 + 1631. Calculate the greatest common factor of 36 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**5\/80 - j**4\/24 - 5*j**3\/24 + 3*j**2\/4 - 74*j + 1. Let x(c) = 0. Calculate c.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -147 - 403. Suppose -w = -14*r + 9*r. What is the highest common factor of 45 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/x**(-5)*x\/(x*(x*x\/((x\/x**19*x)\/x))\/x)*(x*x**19\/x)\/x*x)**(8\/13) assuming x is positive.\nAnswer: x**(80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 45 + -5*(-2)\/5 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-20) + ((-3720)\/(-1450) - 3)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3, s - 37 = -0*h - 3*h. Suppose -2*q = -4, 4*m + m = q + s. What is the second smallest value in -1\/4, -4, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192787929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 9:50 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 8:51 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/9 - 8\/9. Let h = 0.03 - -1.97. Let t = 102 + -101.9. Which is the third biggest value? (a) t (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 388 + -361. Suppose 5 = m - 4*j, m + 0*j = 2*j + 5. Solve m*o - 2 = -u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.761, 12, -5, 0, 7, 1\/3, 2 in decreasing order.\nAnswer: 12, 7, 2.761, 2, 1\/3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*g + 4*s, -4*s - 10 - 2 = -4*g. Suppose g*w = -w + 10. Let f = -21 - -36. Calculate the greatest common factor of f and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2 + 2. Suppose 36 = 3*i + t - r*t, -24 = -2*i + 5*t. Calculate the remainder when 317\/9 + (-2 - (-16)\/9) is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 1758*x**2 - 75145*x + 2493414.\nAnswer: (x - 1799)*(x - 22)*(x + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + 0.60000063. Round s to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0 - 2 = 4*a, 8 = -3*w - a. Let m be ((-52)\/(-2) + w)*1. Let h = -22 - -25. Solve 3*r + t - h = 5, 0 = -r + 5*t + m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/126 and 8\/4 + 1606\/(-1232)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**9\/5040 + f**8\/2240 - f**4\/8 + 4*f**2. Let y(v) be the second derivative of q(v). Find b, given that y(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/(-20))\/(15\/50). Let j be -4 - ((-7)\/(-2))\/(b\/24). Let m = 812 + j. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/255408 and -73\/90144.\nAnswer: 1532448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*v + 34 - v**2 + 39*v - 14 + 43 - v**2 with respect to v.\nAnswer: -4*v + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25823448 (base 9) to base 10.\nAnswer: -12711212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-84)\/15*(-1 + 6). Let r = 41 + x. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0041 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 - 65. What is the remainder when 41 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 199 + d - 34 - 34 - 40 - 46.\nAnswer: d + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 34. Find y, given that 319 - o*y - 5*y**2 - 289 - 16*y = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5015 (b) -25784 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12)*36\/(-60)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - -2*sqrt(832)) + sqrt(832))*-3.\nAnswer: -96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699873 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*v + 14*v - 18*v**4 - 18*v + 11*v**2 wrt v.\nAnswer: -432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*u + 4670 - 7424 for u.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056 minus 4?\nAnswer: -4.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**4 - 29010*b**3 + 2263805*b**2 + 2292810*b = 0?\nAnswer: -5879, -1, 0, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -38*u. Let k(a) = 51*a. What is b(k(r))?\nAnswer: -1938*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14)\/((-1)\/(-14)*-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 21 = 2*y, y - 1 = -5*d + 3. Suppose 3*s - y*s + 2184 = 0. Suppose -25*a + 21*a = -s. What is the remainder when a is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 375989 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43714639*y**4 - 1812*y**2 + 923*y + 1 wrt y?\nAnswer: -1049151336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143157633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2265)\/(-9) + 6\/18. Let t = -121 + r. List the prime factors of t.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 34*g - 14. Let u be t(6). Let n(h) = -103*h**2 - 95*h**2 + u*h**2. Let l(o) = -4*o**2. Determine l(n(k)).\nAnswer: -256*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1961.4 + 5049. What is t rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a decade in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8834*d**3 + 459*d?\nAnswer: 53004*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 8*j**2 - 20*j + 22. Suppose 3*o = -32 + 2. What are the prime factors of n(o)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -10*g**3 - 2*g**2 - 6*g - 13. Let q be t(-3). Suppose 2*u - q = -39. Let w = u - 99. What is the lowest common multiple of w and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - (24 + -36)) + (3 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (2 + -1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 36*v**3 - 6*v**2 - 4*v - 8. Let c(g) = -36*g**3 + 5*g**2 + 6*g + 10. Calculate -2*c(y) - 3*h(y).\nAnswer: -36*y**3 + 8*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q - 15. Let d be x(3). Let z = d - 12. What is the hundreds digit of 20\/z*-11*(-10 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in -133, 0.4, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 9 = -7. Let h = 4 + -9. Let n be 9\/(-15) + ((-22)\/(-20) - 0). Put v, n, h in increasing order.\nAnswer: h, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1750 is divided by 575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*i - 108750 = 169*i - 153*i - 138630 for i.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -108 in -1\/192, 0.068, -52, -2\/3?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**3 + 18*y**2 + 87*y - 19. Let d be l(9). Solve d*s = 34*s + 6 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**2 - 444*q + 447 = 0.\nAnswer: -149, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 308\/2640*7\/(-98)*4.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*l**2 + 7*l*t - 23511*t wrt l?\nAnswer: -36*l + 7*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28469 is divided by 14223?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 11424986.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 306 - 304. Suppose 7 = -4*z + 23. Solve -2*v - v - d*m = -5, -2*v = -z*m + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -603707 divided by 281?\nAnswer: -603707\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 301316313 smaller than 301316313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6089*m**4 - 33688*m?\nAnswer: 73068*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -521*x**4 - 6*x + 3*x - 1 + 518*x**4 - 2*x**3 in the form w + u*x + n*x**4 + r*x**3 + k*x**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*l - 1 + 17*l - 33*l + 0 as j*l + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 0*q**2 - 1 + 4\/3*q**3 + 0*q. Let r(c) = 4*c**2. What is r(z(y))?\nAnswer: 64*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 + -70. Let l(n) = 5*n + 27. Let y(r) = -2*r - 14. Let g(f) = v*l(f) - 9*y(f). Differentiate g(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.077 + -0.423. Suppose 3 = -p, 0*z = z - 2*p - 8. What is the nearest to -0.2 in u, z, 4\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 2*w - 84, 6821*y - 6810*y - 178 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 1\/3, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12944963\/3 > 4314987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from amaamxaaofaaalxoxmxm?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 96661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 4:02 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*k - 4*k. Solve 2*a - 7 = -h, -5*a + 3*h = -k*h + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252632 to the power of 1\/2, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s - 5*s + 2*s)*(-3 - 5 - 2) as y*s + h and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 divided by -29.\nAnswer: 104\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {h: 2, i: 1, w: 3, d: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 1. Let n = m - 0. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63100*l**6 + 36204*l**2 wrt l.\nAnswer: 7572000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*w + 1 + 2*w - w - 3*w + (-w + 0 + 0)*(-2 - 2 + 5) - w + 0*w + 0*w + 2 - 2 - 2*w + (-2 - 1 + 5)*(w - 3 + 3) + 35*w + 25*w - 11*w.\nAnswer: 47*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*b - 54*b - 7 = 2*u, -4*b = 4*u + 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in ninety-eight fifths of a millimeter?\nAnswer: 19600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + (13 - 32) + (-95 - -102).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-12)\/(-90)*1140\/48?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*a - 784, 3*i - 807 + 225 = -3*a. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 1\/5, -0.3, 61, 0.1, 5, 42?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2. Let s be (-5 + 6)\/(w\/(-2)). What is the second derivative of 4*b**3 + s*b - 5*b**3 + 0*b wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 - 12975*r**2\/4 - 51921*r\/4 + 64895\/4.\nAnswer: (r - 12979)*(r - 1)*(r + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 + 16*g**2 + 12*g + 2. Let m be o(-7). Solve -c - m = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-114299998)\/15 + (76\/30)\/(-19). Round c to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*k + 6*t, 5*k - 207*t + 99*t - 30 = -105*t for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 11:00 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261213626 to the power of 1\/3, to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1626 times -234377?\nAnswer: -38109.7002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 11:54 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s\/((s\/s**(-7\/3))\/s))\/s*s))\/s*s**(-4)*(s**5)**4 assuming s is positive.\nAnswer: s**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + g)*(-2*g**2 - 1 + 1) + (-2*g**2 + 2*g**2 + g**2)*(2 + 14 + 0 - g) in the form s*g**3 + t + m*g + j*g**2 and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -0.3, -0.11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77377064 by 123016.\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87836 and 77084.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (736*l - 74*l**2 - 736*l)*(0*l - 6*l + 2*l).\nAnswer: 296*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 11:06 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -1\/62, 5.32?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -2*m. Suppose -3*g - 8 = -k, 4*g - 10 = 2*g. Suppose 2*q - 15 + k = -f, -3 = -4*f - q. Solve 0 = -u, 3*c + m*u + f = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*f**3 + 415*f**3 - 39*f**3 + 36*f**3.\nAnswer: 614*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44872 (base 9) in base 11?\nAnswer: 20498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*b + 152 - 10 - 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (12 + (-55 - -30))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**3 + 2*y**2 + 5*y + 9. Let d be u(-2). What is the fourth biggest value in -3, d, 1\/4, 2\/15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 263*b**2 - 2*b. Let a(m) = -99290*m + 49650*m + 49642*m. Determine a(f(d)).\nAnswer: 526*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13315 (base 6) in base 16?\nAnswer: -80f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6446 - -6583. What is the remainder when 2464 is divided by r?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-351)\/(-78)*(-512)\/(-24). Calculate the greatest common factor of 1888 and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 32*c - 164. Let v be r(4). Does 5 divide (405\/v)\/(1\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(14\/5))*x\/(x\/(x**(11\/5)*x))*x)\/(x*(x*x**(-1\/4))\/x)**(15\/4) assuming x is positive.\nAnswer: x**(67\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -10*q**2 - 4*q + 7*q**2 + 4 + q**3 + 0. Let k be g(4). Let h be (k\/(-7))\/((-6)\/21). Solve -a + 11 = 4*l, 3*a + h = -2*l + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*z + 2, 0 = 4*x - x + 5*z - 13. Let w be 0\/(-12) + 2\/x. Let p = 18 - 19. Sort p, -4, w.\nAnswer: -4, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13218 = 51*f + 12963 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 34. Let n = 50 - u. Suppose 0 = 4*p - 3*p - 6. What is the remainder when n is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 8*x**2 + 11*x + 8. Let a be o(-9). Is 24\/10*a\/(-3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10662063*w + 26188517 wrt w?\nAnswer: 10662063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + 1. Let c be (-1)\/x + 1\/2. Let m be 12\/56*4 - (-10 + (-72)\/(-7)). Sort -2\/11, m, -1\/3, c in descending order.\nAnswer: m, c, -2\/11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96 + 102. Suppose -7*g + 2*h = -2*g - 10, -3*g = 3*h - c. Solve -4*u - 6 = p, 5*u - g*p = 7*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 1672, -1, 0, -0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/19120 and 173\/315480?\nAnswer: 630960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 12:52 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2853*o**2 + 107*o + 3 wrt o.\nAnswer: 5706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -15 - (5 + -22)) + 0 + 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1059, 2613, 6879, 15213, 28971, 49509?\n\"Answer: 226*u**3 - 28*u + 861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37150*l**2 - 2*l + 38655*l**2 + 2*l.\nAnswer: 1505*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.05+-3.6477717824\nAnswer: -3.6977717824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-5)*4\/(16\/12). Is -0.1 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*o - 738 = 0, 37*h - 33*h = o - 737. Let l = -176 - h. Solve 0 = l*c - 9*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100017033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/11 - 8\/11*z**3 + 8\/11*z - 6\/11*z**4 + 4\/11*z**2 = 0. What is z?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109 + 108. What is the nearest to -1 in 3, 2\/11, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 - 155 = -26*x. Solve 2*t - 4*t = -2*l, x*l = 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155.89129847 + 155.8753. Let i = q - -0.016. Round i to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880902.\nAnswer: 2, 3, 11, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 - 30*k**2 + 31*k - 14. Calculate x(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 576*-31.08.\nAnswer: -17902.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 227396 a multiple of 544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8656242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**5 - 208*c + 7*c**5 - 134*c**2 - 224*c - 6*c**5 - 408*c wrt c.\nAnswer: -20*c**3 - 268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 43, 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.013*-0.3\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 3856 and -2.\nAnswer: 3854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 4*y + 20, 2*y - y - 2 = 0. Put 38, 1, z in decreasing order.\nAnswer: 38, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 4 - 4. Let w be (-9)\/18*2\/c. What is the third smallest value in 0.4, 1\/4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 13, w: 5, b: 1, g: 1}. Give prob of sequence wgb.\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66740, 66747, 66754, 66761?\n\"Answer: 7*a + 66733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1773 at least -1772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-2\/11)))\/(t\/(t*t**2*t)))**35 assuming t is positive.\nAnswer: t**(1225\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -557*i + 557*i - 36*i**2. Let z(l) = 2*l**2. Calculate z(y(q)).\nAnswer: 2592*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*h**2 - 45*h**2 - 35*h**3)*(8 - 1 - 2 - 22).\nAnswer: 595*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*h + 3*w, -2*h = 3*w - 12 - 7. Calculate the remainder when 41 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + 158*c - 98*c to the form o*c + h and give o.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 94421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 + (-13 - -4 - -7) - 24) + 18?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g. Let o(s) = -1100*s**2 + s. Determine h(o(k)).\nAnswer: -1100*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 10257*k + 51361. Give g(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i**2 - 3*i**2 + 30*i + 6*i**2.\nAnswer: 3*i*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - ((-252)\/(-6))\/(-7). Let h(b) = -8*b**3 - 2*b**2 + 4*b - 3. Let r(x) = -5*x**3 - x**2 + 2*x - 1. Let y(k) = w*r(k) - 3*h(k). Determine y(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*h, -5*v + 4*h + 589 = 2*h. Calculate the greatest common factor of 68 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/30 and -25\/21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-3)\/(-18)*3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 + s + 6. Let x(l) = 13*l**2 + 4*l + 25. Calculate 9*o(y) - 2*x(y).\nAnswer: y**2 + y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1776827 (base 12) to base 5\nAnswer: -2222301021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4300*s + 60205. What is t(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 169, 304, 437?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 7*k - 141 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u + u + 3*u - 17*u + 9*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5)*5\/(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -382\/3 less than -128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1932*d = -1859*d - 1314 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 297*y - 1. Let l(r) = 296*r - 2. Let a(u) = -3*l(u) + 4*w(u). Let t be a(2). Suppose 2*x = 6*x - 3*k - 493, 5*x + k = t. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + r**2 - 3*r - 1. Let p be n(-3). Let m be (-549)\/(-5) + (-2)\/p. Suppose -m = -3*z + z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*65\/(-52) + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3991325 is divided by 782?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 154813627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*s + 1296 = -60*s + 37*s for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*v + 2*v. Suppose -v*y - 5*c - 2 = 0, -2*c + 0*c = y + 2. Suppose 2*x = 6 + y. Calculate the lowest common multiple of x and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 119*c**2 + 322*c + 3017. Calculate r(116).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 6:19 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 9*f. Solve -4*b + 3*c + 6 = -2*c, -5*c + 10 = f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000135222 rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 37\/(-148) - (-2)\/8. Solve 6*r - 7*r - 1 = m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/23 (b) -2 (c) -0.0747\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7931.904 millilitres to litres.\nAnswer: 7.931904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -1456, 0, -11.\nAnswer: -1456, -11, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 12, -7, -60, -159?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2886225 divided by -15?\nAnswer: -192415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3850 is divided by 146.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 10:38 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l**2 - 11*l**2 - 13*l**2 + (-36 + 15 + 19)*(-4*l**2 + 4*l**2 - l**2).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131226944.\nAnswer: 2, 17, 103, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 1 - (11 + -32 - (-22 - -6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-126)\/(-6))\/(1\/25). Suppose -z + 4*n = -84, 5*n - 178 = 4*z - a. Calculate the highest common divisor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -11, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 1:32 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a + 3e174?\nAnswer: 3e15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6*27\/12*(168\/1050)\/((-76)\/(-950))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12339 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-35)*(j\/j**2)**(-29\/4) assuming j is positive.\nAnswer: j**(169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 2*u**7\/7 - 3*u**4\/2 + 4*u. Find the third derivative of b(w) wrt w.\nAnswer: 720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 8*l**2 - 11*l - 13. Let t be u(-9). Let d(x) = 29*x + 2. Let a be d(t). Let y = 206 - a. Is y 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 2554808579?\nAnswer: 43, 59414153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49677 - -47104.3. Round h to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**2 - 3*r + 6. Let h be (328\/(-615) + (-2)\/(-10))\/(5\/15). Let v(b) = b**2 + b + 1. Determine h*g(q) - 3*v(q).\nAnswer: 2*q**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85 - 39) + (6 - 62).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 449.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15309 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: Two letters picked without replacement from {s: 4, h: 5, u: 1}. What is prob of sequence uh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127.9529 - 128. What is v rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -14. Let l be (p\/(-24))\/((-18)\/(-33)). Let b = -1\/18 + l. Is 2\/27 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1140 = 4*n + 91*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 2:43 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.872 - -0.072. Let o = 27.80000179 + a. Round o to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*c + 3*c = -77*c + 6105 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = g + 5, 0 = 2*y + 24*g - 29*g - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62.3 - -62. What is the nearest to -0.1 in 4\/3, w, 1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -44*d - 1475. Calculate v(-33).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -0.1.\nAnswer: -1, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 887433 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4*p = -20, -141*p + 146*p = -4*o + 23 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344295.1 less than -4?\nAnswer: -344299.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-244)\/3 + 8\/24. Let i = f - -245\/3. What is n in 0 - 1\/3*n**3 + 1\/3*n**2 + i*n = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 1\/9*t**3 - 45*t - 1 + 10\/9*t**4 - 20\/3*t**2 - 1\/30*t**5. Factor m(z).\nAnswer: -2*(z - 20)*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 3*w + 9*w + 5*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78658265.\nAnswer: 5, 7, 2247379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -36109992.\nAnswer: -1\/18054996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19219030 to the nearest integer?\nAnswer: 4384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 39*q**3 - 96*q**2 - 2*q + 7 + 28*q**2 + 43*q**2 + 30*q**2. Is v(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - c**2 + 6*c. Let j(g) = 2590*g**3 - 925*g**2 + 5550*g. What is 3*j(r) - 2775*m(r)?\nAnswer: 4995*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 + 83 + 51 - 9*f + 55 - 29 to the form b + j*f and give b.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10991.69 - 10883. Let l = -52 + 160. Let i = z - l. Round i to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21\/(-4))\/((-12)\/(-32)). Let s be (6\/b)\/(16\/(-112)). Suppose 0 = 4*t, t = s*m + m - 40. What is the least common multiple of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8\/3, -1\/2, -2.\nAnswer: -8\/3, -2, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3\/18)\/((-20)\/(-420))*2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -246 (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -110*i. Let o(x) = 4*x**2. Determine j(o(k)).\nAnswer: -440*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1355 - 4?\nAnswer: -1359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 0.092, -343 in decreasing order.\nAnswer: 0.092, 0.06, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, -3, -5, -7, -43 in ascending order.\nAnswer: -43, -7, -5, -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 6 - 6. Let v(n) be the third derivative of n**4\/24 - 10*n**2. Give v(f(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 639*f - 633*f. Let y(k) = -4*k - 5. Let m be y(5). Let j = f - m. Solve j = -h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - 2 + 0*i**2 + 0 - 3*i**2 + 6*i. Suppose 5*k - 25 = -2*q, k = 4 - 1. Let d(v) = -v**2 + 7*v - 2. Give q*d(f) - 6*o(f).\nAnswer: f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 31*i - 1249. Give c(42).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (329 - 205 + 73*r - 124 + 14*r**2)*(5*r**2 + 2*r**2 - 4*r**2) to the form y*r**4 + s + z*r**2 + u*r + a*r**3 and give y.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079109510?\nAnswer: 2, 3, 5, 17, 43, 49207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 4. Let o(d) = 3*d - 7. Let s(k) = 5*g(k) + 3*o(k). Let z(f) = -f**2 + 8*f + 5. What is 6*s(y) + z(y)?\nAnswer: -y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-312)\/(-5)*(-5875)\/9400.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/12 - (-31 + 29). Put -0.6, -0.05, c in increasing order.\nAnswer: -0.6, c, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 < 4099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 6*t**2 + 14*t + 80. Let l be m(-5). Solve 3*o = -4*b + 32, -5*o - 15 = -l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-308))\/((32\/(-14))\/16).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-3)\/6*14. What is the greatest common factor of 6 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3) + 97\/(-3). Let b = c - -38. Solve -2*j + b = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 8*o**7\/35 + o**6\/40 - 3647*o**4\/24 - 9*o**2 - o + 5. Find the second derivative of t(g) wrt g.\nAnswer: 576*g**2 + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208+272599.5186\nAnswer: 272807.5186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -7*q**2 - 11*q + 21. Let p be o(-7). Let b = -11 + p. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/o*o**4)**(-1\/46)*o**(4\/7)*o*o*o**4*(o*o**(-5)*o)\/o*o**(-1)\/o assuming o is positive.\nAnswer: o**(64\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 198, 213, 218, 207, 174, 113, 18, -117?\n\"Answer: -t**3 + t**2 + 19*t + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 4 (c) -0.5 (d) -50\/3 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 10*g + 13. Let a be r(9). Let x be (-117)\/15 + (-5)\/25. Let c be (-2)\/a*(2 + x). Sort c, 5, -3 in decreasing order.\nAnswer: 5, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46765, -93499, -140233?\n\"Answer: -46734*n - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2913545.767 + -0.24878\nAnswer: -2913546.01578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*b + 18*b - 340*b + 5767 = 0 for b.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**7\/630 - h**6\/20 + 25*h**4\/24 + 11*h**2 - 1. Let a(b) be the second derivative of o(b). Find j such that a(j) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x. Let q(u) = u**2 - 116845*u. Determine q(j(z)).\nAnswer: 4*z**2 + 233690*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, b: 3}. Give prob of sequence bbb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-474 - -508) + -41 + -5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**6\/360 - y**5\/24 + y**4\/3 - y**3 + 15. Let q(m) be the third derivative of s(m). List the prime factors of q(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 16 = 11*q. Let d be (-5 + q - -4) + 5. Sort 2, 0, d in increasing order.\nAnswer: 0, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b. Let h(w) = -w - 4. Let n be h(-6). Let o(y) = -y**3 + 9*y**2 + 2. Let s be o(9). Let k(z) = -3*z**s + z**n + 0*z**2. Determine i(k(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 - 12*s - 5. Suppose 3*w = -v + 17, 7*v + 2*w - 51 = 4*v. What is the tens digit of l(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 divided by -12?\nAnswer: -105\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o - 25*o - 3*i = 21, 4 = -2*i. What is the third biggest value in -24, o, 0.5?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40.30086564+284\nAnswer: 324.30086564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -772, -1363, -1954?\nAnswer: -2545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 + 1.8. Let g = -1.3 + v. Let t = -2 + 7. Sort g, 0.05, t in descending order.\nAnswer: t, g, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n + 10 = 0. Let d(g) = -15*g - 1. Is d(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 15 - 3. Suppose h + 28 = -4*y, 0 = 3*h - 6 - t. Let x = -14 - y. Which is bigger: -7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4 + 107.\nAnswer: 109.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 407338279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/3)\/((-5)\/15). Suppose -5*y + 8 = -2*j, 3*j - 3*y + z = -y. Is 502\/3 - j\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 15. Let l be d(-16). Is (l + 2)\/(1\/118) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 606 + -410. What is the highest common divisor of a and 168?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 560 and 1540.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - m**2 + 3*m**3)*(4 - 1 + 4).\nAnswer: 21*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2 - 14*a + 14*a - 2*a**3 - 1. Let i(x) be the second derivative of -3*x**5\/20 - 5*x**2\/2 - x. Determine -3*i(c) + 5*v(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0.2. Let w be 21\/(-7) - (-8)\/3. What is the biggest value in w, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g = -1146 - 2836. Calculate the remainder when g is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -824.71 - -821. Let h = -20 - -19.89. Let m = h - l. Round m to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 335 - 199. Let w(h) = -2*h**2 + 15*h - 15. What is the remainder when a is divided by w(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1010100101?\nAnswer: -1010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 152.39835.\nAnswer: 155.39835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7697, 7694, 7691, 7688, 7685?\nAnswer: 7682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132969 is divided by 44309.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 5. Suppose 3*a + 4*i = i - 18, 3*a + 4 = 4*i. Let h be g(a). Find the second derivative of -7*b**3 - 6*b - 4*b**5 - 2*b**3 + 9*b**h wrt b.\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16107427.22 to the nearest ten thousand.\nAnswer: -16110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22.4, -166, 3, -12.\nAnswer: -166, -22.4, -12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7))**(-34\/5)\/(y*y**(-5\/3)*y**(2\/29)\/y*y)*(y**0\/y)\/y*y**(-9)*y*y*((y**(-2\/13)*y)\/y)\/((y**(-8)*y)\/y) assuming y is positive.\nAnswer: y**(-98923\/39585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/73 or 670.47?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**7\/126 + 17*y**6\/90 - 103*y**5\/60 + 89*y**4\/12 - 16*y**3 + 18*y**2 - 3190*y. What is p in t(p) = 0?\nAnswer: 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*z - 197*z - 36*z**3 - 200*z.\nAnswer: -36*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175119.\nAnswer: 3, 7, 31, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 36*h - 13*h**2 + 37*h.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/39 + (1467\/(-27) - -54).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 10 = 19169*s - 19174*s, 50 = 4*v - 6*s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4. Let v(q) = -q - 1. Let i = -20 + 7. Let u be (2\/(-8))\/(i\/52). Give u*r(o) + 4*v(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Let t be o\/2*(-4)\/(-3). Suppose -v = t*b - 9, -4*b - 7 = -4*v + 5. Solve 0*j = -v*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3 + 3*t - t + 13 + 6. Let g be m(-9). Suppose -2*x = -5*c - 67, 0 = -2*x - 0*x + g*c + 64. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 513 = 87. Let h = 153 - m. Let x(o) = -o**2 + 12*o - 8. Give x(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 746 = 618. Let a = j - 345. Suppose q - 4*x + 3*x - 2 = 0, -19 = 4*q + 5*x. Put a, q, 6 in descending order.\nAnswer: 6, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142123637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101201102 - -211212?\nAnswer: -100212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 74.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 969606 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000736757524 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3840 by 480.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121803 at least as big as 4121804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1622, 2805, 3988, 5171?\n\"Answer: 1183*m + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 44537.283 to the nearest one hundred.\nAnswer: 44500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170\/(-18)*(-101 - -102)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**3\/3 - 15*f**2\/2 + 9*f - 5. Let u(j) be the first derivative of x(j). Let r be u(9). Solve 0*b - r*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -13*k**3 - 40*k**2 + 6*k - 1007. Is s(-54) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10355 + 420*h**3 - 885*h**3 + 431*h**3.\nAnswer: -34*h**3 - 10355","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -10*b - 76. Let u be f(-8). Suppose -4*l - u*l - 40 = 0. Let w be (1 + 1)*(-51)\/27. Which is greater: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.7956 - 10.89. Let i = -0.71 + r. Round i to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2926.832 years in months?\nAnswer: 35121.984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 2613 - 2617 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -6 + 6 - -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2512450 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 2:05 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-314*n + 314*n + 10*n**4)*(46 - 3 + 60).\nAnswer: 1030*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5808*w - 51692. Determine c(-9).\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 178 = -204*s + 410*s - 142*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8517, -17034, -25551, -34068?\n\"Answer: -8517*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 9, 3\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 76 = p + 3*p, 2*f - p + 76 = 0. Let o = 137 - f. What is the greatest common divisor of o and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159 - -178. Calculate the remainder when 35 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -3b6?\nAnswer: -3ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-4) - (-34)\/8. Find the second derivative of -3*g**u + g + 5*g**5 - 4*g wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + 1 + sqrt(3) + 2*sqrt(243) + 3*(sqrt(3) - (1 + sqrt(3))*6 - (sqrt(3) - (1 + sqrt(243))))**2 + -2.\nAnswer: -65*sqrt(3) + 155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -7 (c) 3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173268833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 8*x - 28 = 0, c - 6667*x = -3*c - 6666*x + 35 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*m**2 - 87 - m + 43 + m**4 - m**3 + 42 in the form z + h*m**4 + n*m + y*m**3 + u*m**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of ((-120)\/35)\/(7\/(-980))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 1)*(-2*s - 1 + 1) + (-4 + 1 + 1)*(-170*s - 160*s + 92*s) - 3*s + 4*s + s + 4*s + 0*s - s to c + i*s and give i.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169095 is divided by 1199.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**3 - d**2 - 1. Let k(b) = -14*b**3 - 4*b**2 - 187*b - 4. Calculate k(i) - 4*y(i).\nAnswer: -2*i**3 - 187*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (421*l - 206*l - 29 - 214*l)*(-4 + 4 - 4).\nAnswer: -4*l + 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + r - 15 = 0, 3*t - 5 = -3*r + r. Let j = -2 - 2. Let l = j + t. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-527)\/(-85)) + 68\/(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.584 - -0.016. Let u = -10 + b. What is the nearest to u in -1, 2\/5, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32 + 12c2a?\nAnswer: 12be8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 84 - 2?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1388 + 1404)*(0 + (-1)\/2). Which is the second smallest value? (a) 11 (b) r (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1 + (-12 - -15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33764*i**2 + 1998*i - 12.\nAnswer: 67528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681171 is divided by 22692?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -212*b**4*f**3 - 6*b**4 + 13*b**3*f**2 - 25*b**2*f**3 + 758*b**2 - 2*f**2 wrt b.\nAnswer: -5088*b*f**3 - 144*b + 78*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7931, 7933, 7935, 7937, 7939?\n\"Answer: 2*h + 7929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11690 and 2415.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 times -0.175\nAnswer: -0.3325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -27*i**2 + 13*i**2 + 9*i**2 + 12*i + 7*i**2. Let t(p) = -p. Give t(z(f)).\nAnswer: -2*f**2 - 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403*x**3 - 130*x**3 - 133*x**3 - 133*x**3 + x.\nAnswer: 7*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 96*i**3 + 6*i**2 - 7*i - 1. List the prime factors of a(3).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/(-4) + (6 - 25\/4). Suppose 5*b = 5*s - 310, s = q*b - 9*b + 74. Calculate the least common multiple of s and 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u**4 + 174500*u**3 - 387616*u**2 + 77520*u = 0 for u.\nAnswer: 0, 2\/9, 2, 4845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s - 1. Let c(z) = z**3 + 6*z**2 - 9*z - 4. Let y be c(-7). Let u be -1*((-4)\/20)\/(2\/y). What is i(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1253*d**2. Let r(j) = -72*j. Calculate r(s(c)).\nAnswer: -90216*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*o**3 + 2*o**4 - 1936*o + 16*o**2 + 9*o**4 - 4*o**5 + 1932*o + 2*o**4 + 3*o**4.\nAnswer: -4*o*(o - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 18*c**2 + 41*c + 21. Let h be i(-20). Put -1\/3, h, -29, -0.05 in descending order.\nAnswer: h, -0.05, -1\/3, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3 - 3*l - 4 + 1. What is the units digit of j(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -20*t - 69. Let o be n(-5). Suppose o + 16 = 3*v + 4*f, 3*f = -3*v + 51. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*w - 7 - 23 = 0, 4*w = -4*p. Find the second derivative of 6*k + 3*k**p + 0*k**5 - 8*k**5 - 18*k wrt k.\nAnswer: -100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 8*r + 1799232. Is (-2)\/(8\/r*4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 591918.20600054 - 591939.206. Let l = 0.48 + 20.52. Let h = l + b. What is h rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 774169, -15\/23 in descending order.\nAnswer: 774169, 0, -15\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 45. Let j = -24 - i. What is the remainder when j is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (33\/(-22))\/(((-18)\/16)\/3) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v. Suppose 0*w - w - 3 = v. Let y be ((-5)\/w)\/((-4)\/(-12)). Which is the closest to 1? (a) 2 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 105761328 smaller than 105761328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -27. Let r(m) = m**2 + 3*m - 1. Give r(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31929 - 32134 = 41*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5718\/4*(230\/(-24))\/(25\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 6*l - 49. Let g = -17 + l. Let a = g + 11. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**1)*(f*f*f**(-7\/4)*f*f*f)\/f)**(-16)*f**(2\/7)\/f**(2\/9)*f*f**(-4)*f**(2\/5)*f assuming f is positive.\nAnswer: f**(-6784\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 87.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 245, 505, 779, 1073, 1393, 1745, 2135?\n\"Answer: l**3 + l**2 + 250*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(1900) + 3*-3*sqrt(1900)))**2 + ((3*sqrt(1900)*-3)**2 - sqrt(1900))*-1)*4 + 3.\nAnswer: 40*sqrt(19) + 3762003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 9*a**2 - 92*a + 46. Let q be y(15). Let i(n) = -3*n + 18. Give i(q).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (78 + (-31 - 48))*47?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from tptrbbl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**7\/840 - p**5\/60 - p**4\/6 - 3*p. Let x(i) be the third derivative of r(i). What is the first derivative of x(z) wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.9788 - -0.0212. Which is the nearest to 21? (a) 0.1 (b) 0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (-1*(sqrt(76) + sqrt(76)*-3) - sqrt(76)) + -2*sqrt(76)*4)\/(sqrt(20)\/(3*sqrt(5)) + sqrt(4) + (sqrt(168)\/sqrt(6))\/sqrt(7)).\nAnswer: -18*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*r + 41*r + u - 6058, -3*u = 5*r - 10090. Is r a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -7*c**6\/120 + 19*c**5\/80 - 5*c**4\/16 + c**3\/24 + c**2\/4 + 4*c - 2. Let o(v) be the first derivative of f(v). Factor o(l).\nAnswer: -(l - 1)**3*(7*l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g - 2. Let a(q) = 12*q - 4. Let p(z) = 4*a(z) - 9*c(z). Is 7 a factor of p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5528883 is divided by 12623?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1623 + -1625.45. What is the second smallest value in -1, x, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -20. Let x(z) = -4*z**2 - z + 10. Let f(g) = -9*g**2 - 3*g + 21. Let k(o) = v*f(o) - 5*x(o). What is the tens digit of k(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 5:38 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11612241 to the nearest integer?\nAnswer: 3408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 517\/4 (b) 5 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*m*o**2 - 2*b**2*o - 304*b**2*w - 2*b**2 + b*o*w - 3112*b*w - m*o**2*w - 2*m*o**2 wrt b.\nAnswer: 2*m*o**2 - 4*o - 608*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64638.4 kilograms to grams.\nAnswer: 64638400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.7292 litres in millilitres?\nAnswer: 173729.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 0*t**5 + 0*t**3 + 17\/6*t**4 + 0 + 0*t - 51*t**2 + 32\/105*t**7 + 0*t**6. Find the second derivative of n(r) wrt r.\nAnswer: 768*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + -2*sqrt(170))*2 - (sqrt(170) + -2*sqrt(170))*-5)\/(2*sqrt(1210) + -2*sqrt(160))*3.\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -640 + -5?\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94\/7 - -92\/7. Let f = -29\/68 - -3\/17. What is the smallest value in r, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 11*i**2 + 2. Let y be x(11). Let t(z) = 2 + 6*z - 6*z + 12*z + z**y. Let q be t(-12). Solve -q*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 12. Let v be k(10). Let j(w) = -1 + 2*w - 2 + v*w - 3*w. Calculate j(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9916 + 178409\/18. Let d = 10332 + -7224. Let t = -24789\/8 + d. Find the common denominator of w and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.09, 144, 2\/13?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/3 - 92*p + 1998 = 0 for p.\nAnswer: 27, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 14*h**2 - 9*h - 20. What is n(0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -32. Calculate the smallest common multiple of 26 - 2 - (k - 1) and 0 + 0 - 10*-1.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6302241979 to the power of 1\/4, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(242) - (1 + sqrt(242))) + 1)**2 + 4*(sqrt(242)*2 + 1) - -4*(5*(1*sqrt(242)*-6 + 1))**2.\nAnswer: -13112*sqrt(2) + 871320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**4 + 2*p**3\/3 + 21*p**2\/2 - 44. What is the third derivative of k(o) wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - w - 2, n = -4*w + 3. Suppose 0 = -f + u + 2*u + 56, n*f - 168 = 4*u. Calculate the greatest common factor of f and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2732, 2731, 2730, 2729?\n\"Answer: -a + 2733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*n - 133 = 0, u - 5*n + 4*n - 32 = 0. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7784.2 + -7785.2. Let q = -0.07 - 3.93. Put q, a, 1\/5 in increasing order.\nAnswer: q, a, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.84 times -0.03?\nAnswer: -1.5552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -2*z - 81 - 1\/3*z**3 + 0*z**2. Let v(b) = b**2 + 1. Determine 3*c(y) + 6*v(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + i = 23, 4*x + x - 5*i + 70 = 0. Let d = x - -11. Solve 6*s - 16 = d*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67413 (base 8) in base 4?\nAnswer: 12330023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jorjfroryrryrrr. What is prob of picking 1 f, 2 r, and 1 j?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57 + 81 + 59)*(2*z - 11*z**4 + 16*z**4 + 0*z) as g*z + o*z**2 + k*z**3 + l + i*z**4 and give g.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48609 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 2. Let x be z(2). Suppose 5*g = -5, -2*q + g - 2*g - 3 = x. List the prime factors of (18\/(-4) - q)*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*b + 15146 = 14738. What is the remainder when b is divided by (-5 + -3 + 5)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/8)*n\/n**(3\/7)*((n\/(n**(-5)*n))\/n*n)\/(n*n**(-3\/2)))\/((n*(n*n**(-1\/2))\/n*n)**(-3\/8))**19 assuming n is positive.\nAnswer: n**(1863\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 15 = -6*w + 11*w, -12 = -3*w for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 + -119. Put 3, 5, 1, k in ascending order.\nAnswer: k, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 8*h**2 - h + 11. Let p be r(8). Suppose -2 = x - p. Let l = 0 + 4. What is the third biggest value in 2\/5, l, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 12*v + 0 + 5\/6*v**4 + 0*v**3 - v**2. Let i(b) = 2*b. Determine a(i(o)).\nAnswer: 40*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/6552 and -173\/2184.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/10, -0.006, 7722?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1281851?\nAnswer: 17, 75403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*m + 3*m**2 - 14*m)*(-1 + 1 - m + (-2 + 0 + 4)*(-2*m - 3*m + 4*m)).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 90332*x + 3251965. Calculate w(-36).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 236.6 - 237. Let z = -4 + -0.5. Let g = z - 0.5. Which is the third smallest value? (a) g (b) m (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - a = 4*u - 19, 0 = -3*u + 4*a - 17 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178)*2)\/(3*sqrt(150) - sqrt(6)) - (0 + (sqrt(240)\/sqrt(5))**2 + sqrt(3) + sqrt(48)\/sqrt(4)).\nAnswer: -48 - 10*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -45. Calculate the remainder when 31 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 3*n - 37*n**2)*(-25*n**2 - 5 + 7*n**2 - 8*n**2 - n).\nAnswer: 962*n**4 + 37*n**3 + 185*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 63*v + 3. Let l be c(63). Solve 5*y + m - 11 = -0*m, 3*y = -l*m - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 469 + -325. List the prime factors of ((-16)\/10)\/((-24)\/(-60)) + c.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003409583891 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 0*o**4 + 1\/120*o**6 + 17*o**2 + 0*o**5 + 0 - 47\/70*o**7 + 20*o**3 - 3*o. Differentiate h(s) wrt s.\nAnswer: -564*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94009014, 94009021, 94009028?\nAnswer: 94009035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 - -64. Differentiate 17*y**3 + 7*y**3 + 10 - 2*y**t - 22 wrt y.\nAnswer: 66*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8398192027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2. Suppose -4*c + 77 + 107 = 0. Suppose -5*y - 5*t + 120 = 0, -2*y + c = -0*t + v*t. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1490674 is divided by 166.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -170 + 73\/2*b**2 + 0*b - 1\/3*b**3. Let n(h) = 2*h. Determine x(n(u)).\nAnswer: -4*u**2 + 146*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124)\/(-70) - (-6 - (325\/(-750)*-36)\/(-3))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1124?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*y = 2, g + 2*y + y = 18. Let i = 12 - g. Suppose -2*l + 1 + 5 = i. Solve -4*f - h = 11, -5*h - 18 = l*f + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -12*a + 5. Which is greater: 4\/11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (4 - 0) + -1 + (178 - 178).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.27802 and 0.6?\nAnswer: -0.166812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 44 + 69\/(-9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 9919 + 3318. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18060+2\nAnswer: 18062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5508*v - 5498*v + 11006*v - 14*v**2.\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -5, -106, 179, 3 in increasing order.\nAnswer: -106, -5, 0, 3, 4, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 5*s + 38 = 27, 3*s = 2*j + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -934590, -934587, -934584, -934581, -934578?\n\"Answer: 3*q - 934593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-294)\/168)\/(3 - 34\/8).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j + 6 = 0. Suppose 2*p + 2*b - 34 = 0, -j*p + b + 7 = -24. What is the tens digit of (3\/2)\/(2\/(4 + p))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150*k**2*n**2 + k**2 - 9802*k*n + 1089*n**2*t + 10*n*t wrt n?\nAnswer: 300*k**2 + 2178*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1287*v - 15 + 1301*v + 20 + 27.\nAnswer: 14*v + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3150 and 252.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112.1 - 117. Let o = 5 + s. Suppose -4*z - 36 + 60 = 0. Is o at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/224 and -7\/1658632?\nAnswer: 46441696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -663*q + 3311. Let d be g(5). Sort -6, d, -18 in increasing order.\nAnswer: -18, -6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10487 + 10506. Let u(z) = z**2 - 18*z + 31. Calculate u(t).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522.8668 nanograms in grams?\nAnswer: 0.0000005228668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, g: 3}. What is prob of picking 1 g and 2 h?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99 + 103. Let s be ((-5 - 0) + o)*(-3)\/9. Which is the third smallest value? (a) -2 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 4:33 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a + 1476. Let s(b) = -b**2 + 7*b + 2. Let q be s(7). Is a\/14 + q\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6282.234 + 6375.504816. Let p = 21.270754 - g. Let r = 72 + p. What is r rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58151.974 - -57851. Let q = 300 + k. Let l = q - 0.026. What is the second smallest value in 1\/3, 2\/11, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opp when three letters picked without replacement from {o: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -182 + 270. Is 37 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-7)\/t)\/t*(t\/t**1)\/t)**7\/((t**(-1)\/t*t)**44*t**(1\/2)\/(t\/(t**(-3)\/t))) assuming t is positive.\nAnswer: t**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 27*j. Let t(d) be the second derivative of d**4\/8 + 47*d**2\/2 - 18*d. Let c(v) be the first derivative of t(v). Calculate x(c(y)).\nAnswer: 81*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = -40*z + 25752. What is the lowest common multiple of z and 148?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31687.\nAnswer: 31687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/2 (b) -2\/11 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2143 - -0.0143. What is the third biggest value in -1, 0.2, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 10*k = 390. Let a = 28 - k. Let o be (a\/3)\/(1\/306). Round o to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30762469, 61524934, 92287399, 123049864, 153812329, 184574794?\nAnswer: 215337259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*o - o + 3*c, -2*o + 5*c + 15 = 0. Suppose o*x - 81 = 14. Calculate the highest common divisor of x and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 5:41 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1263, -1265, -1199, -999, -599, 67?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.15 (b) 0 (c) 3\/7 (d) 3\/128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrzzrzzzzz. What is prob of sequence zzr?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptprrrtrrllr. What is prob of picking 1 p and 1 r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2 and 133\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023708354 rounded to five decimal places?\nAnswer: 0.02371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-3 - (-54)\/15). Let c = 91 + -91. What is the biggest value in -0.9, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104 + -106. Which is the second smallest value? (a) 8 (b) 3 (c) 1\/2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 33 = -11*q. Sort q, -5, 1, -1 in decreasing order.\nAnswer: 1, -1, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, u: 2, k: 2, j: 3, h: 1}. What is prob of sequence jkjs?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 38*a + 27. Let s(w) = -w**2 + 18*w - 13. Let x(z) = -3*b(z) - 7*s(z). Determine x(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/612 and 161\/5944356.\nAnswer: 5944356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134581 is divided by 1525?\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/11 (b) -25 (c) 6 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 2:02 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Suppose -6 = -7*d + 2*d - i*j, -2*d - j = -2. Suppose 2*n = u - n, 0 = -d*u - n. Solve u = -0*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 + -51 + -43 + 25.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1074949501 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 10*k**2. Let y(c) = -c**3 + 4*c**2 + 6*c + 6. Let j be y(5). Suppose -6*i + 5*i = -j. Let m(p) = 3 - 14 + i - 2*p. What is m(v(t))?\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1933 + 30. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = 2*b, u + b - 6 = -u. What is the highest common factor of 3 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 t, and 1 j when three letters picked without replacement from {j: 2, t: 1, i: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 2*c - 10. Let u be p(-5). Solve -3*n = -5*t - n - 31, u*t + 19 = -2*n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*p - 12*p**2 - 25*p - 48 - 39*p + 47 in the form u*p + w + r*p**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.4 or -595445?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43268955.\nAnswer: 3, 5, 181, 15937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 887 less than -0.1?\nAnswer: -887.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -937*g + 935*g = -2*i - 14, -12 = -4*g - 4*i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2509019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3}. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -99, -74, -29, 42, 145?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*z = -3*g + 30, -20 = -3*g + z. Is 215 + (6\/(-9))\/((-2)\/g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1114 (base 6) to base 15.\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*v - 7*v + 18*v)*(-2 - 1 + 4)*(v**3 + 4*v - 4*v) to the form m*v**4 + q + z*v**2 + k*v + l*v**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38884572 - 38662.\nAnswer: 38845910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*g + 4784 = -448 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 23 = 9*b, -2*o + 47 = 4*b + 57 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 7. Let q = 17.1 - 17. Let d = -2.4 - -1.9. Which is the second smallest value? (a) u (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119752 + 2.1.\nAnswer: 119754.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 + -45. Let n be ((-8)\/p)\/(3\/15). Let d be n*(-3)\/((-3)\/(-4)). What is the highest common factor of d and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1609730)\/(-330) - 29\/(-957) and 10?\nAnswer: 24390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 2247072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1232378 and 39\/454034?\nAnswer: 8626646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725953 is divided by 148?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-883 + 1474 - 963)*(4 - r + 0*r + 3*r) + r - 4*r - r.\nAnswer: -748*r - 1488","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + 0.27682.\nAnswer: 47.27682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 1. Let u be r(1). Let f = -62 + 61. Which is the closest to u? (a) 0.4 (b) f (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(60))\/(6*sqrt(12)\/sqrt(4)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*l + 475*l + 300 = -73*y, -3*l = -y + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 6*n**2 + 5. Let g be o(-6). Suppose 0 = -11*r + g*r + 24. Solve -2*p = -4, 0*l - r*l = 3*p + 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*b - 389 = -85, -4*g - 5*b + 277 = 0. Let p = g - 5. Let l = 90 - p. Calculate the remainder when 84 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l**2 - 350*l + 2466. Is c(7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 0*y**4 + 0*y - 32\/5*y**5 + 0*y**2 - y**3 - 32. Find the third derivative of s(p) wrt p.\nAnswer: -768*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**5\/60 - 5*x**4\/12 - 7*x**3\/6 - 2*x**2. Let j be h(13). Suppose -j - 73 = -5*v. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12 + 1 - (6 - 8). Let j = -11 + l. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 406 and 8323?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 13479.\nAnswer: 26958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p = -25. Suppose -p*x = -3*r - 6 - 84, 4*x + 2*r - 50 = 0. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1008, 2016, 3024, 4032, 5040?\nAnswer: 6048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2305*j - 18396 = 2159*j. What is the highest common factor of j and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1001?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7725467 to the nearest integer?\nAnswer: 2779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z. Let n(x) = 1765 - 4*x - 1765. Calculate n(q(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 1302 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3142 a factor of 130013296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 41 (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -315*l - 5599. Calculate the remainder when 76 is divided by u(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 4. Let h be (-140)\/105 + (-76)\/(-12). Let s(w) = 4 - h*w + 234600*w**2 - 2 - 234601*w**2. Give s(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 5*y - 4. Let k be z(4). Suppose k = -0*u - u + 2*o + 18, -o + 3 = 0. What is the remainder when u - 4\/((-8)\/2) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6c (base 15) to base 14\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1800)\/(-400)*1\/117.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 12:21 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*u - 4, -3*c = 3*u - 39. Is 8 a factor of 1180\/44 - (-2)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b + 50. Let y be l(16). Solve -5*c + 3*u = -c, 0 = -y*u + 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 8\/13*m**2 + 1 + 7\/39*m**3 - 5*m - 1\/78*m**4. Factor n(q).\nAnswer: -2*(q - 8)*(q + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 12 + 5 + (3 - 0) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1030, 678, 2 in ascending order.\nAnswer: 2, 678, 1030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*u + 368 + 266 - 299*u + 411 + 227 - 18.\nAnswer: -2*u + 1254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 374? (a) -1\/2 (b) -1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/10 and (2\/5 + 49\/(-35))\/(-23).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**4 + 9*d**3 + 18*d**2 - 4*d - 24 = 0.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 - 7*x + 0*x**2 + 4*x**2 - 6. Give v(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*a + 6434 = -5264 + 4578 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*-2 + -4 + 3 + sqrt(2448) + 1)*5 + 4 + -1*(3 + (sqrt(170)\/(sqrt(10)*1))**2).\nAnswer: -60*sqrt(17) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1459113049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1057693 divided by 17927.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 4*f - 70.\nAnswer: 2*(f - 7)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/3*(-318)\/8. Let w = 106 + f. Solve w = -0*t - 2*t + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**3 + 5*v**2 + 45*v + 35. Calculate t(-5).\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -29, -20, 15, 82, 187, 336?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5851811 - -3?\nAnswer: -5851807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**2 - 43155*k - 1255700 = 0.\nAnswer: -29, 8660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -323203296 and -323203296 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 191 - 59. What are the prime factors of u?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/(-45))\/((-2)\/5). Suppose 0 = a*w - 6*w + 20. Let u(r) = -11*r + 4. Let h(i) = -5*i + 2. Determine w*h(t) - 2*u(t).\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -31 (b) -0.5 (c) 3\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -6. Let c = 0.99999968 - t. Round c to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a**2 + 3*a - 6. Let l be g(-3). Let j = 244 + l. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -17, -7.\nAnswer: -17, -7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 138276 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 56165*j. Let h(x) = 2*x. Determine h(i(s)).\nAnswer: 2*s**2 - 112330*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-543)\/(-21177)*(-78)\/(-16)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/368863 and 41\/3850.\nAnswer: 129102050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r + 3136 = -26*r - 1846 + 1238 for r.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 466646953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43050282 to the nearest integer?\nAnswer: 6561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 7:14 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-60) - (-6)\/8. Is d > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**2 + 8*y**3 + 3*y**3 - y - 24*y**3 + 5*y**3. Let x = 2 + 0. Let t(w) = 2*w**3 - w**2. Determine x*o(i) + 9*t(i).\nAnswer: 2*i**3 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 9, -155*c + 5*h = -152*c - 12 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**2 - 20*d + 6. What is k(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 10*q + 14*q, -2*q - 28 = -4*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - f + 2. Let n be l(1). Let q be (-34)\/(-1) + n + -2. Suppose 4*y - 82 = -2*h, 2*h - q = y + 31. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 0.3, -0.812, 37\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 11:14 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 4. Let y be 4\/(-16) - ((-99)\/12 - -3). Suppose 0 = 2*t - y*c - 6, -t + 0 = -4*c - 3. What is o(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*c + 1 + 4, 0 = g + 3*c - 14. Factor g*u**2 - 4 - 4*u**2 + u**2 + 2*u.\nAnswer: 2*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2127*a - 31868. Give v(15).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 + 0.92. What is the second biggest value in z, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106)\/12 + (-10108)\/8664.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m**2 - 4*m**2 + 43 - 34*m + 9*m**2 + 2*m**2. Let j be h(-35). Suppose -3*c + 1 = -2*g - 4, c - g = 1. Solve 0 = -5*q + j - c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 23. Suppose -5*j - c = -13. What is the second derivative of 3*u + 4*u**2 + 7*u + 4*u**j - 4*u wrt u?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -24 - 16 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 7:28 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1399032)\/(-7560) + -185)*(-14)\/10\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 263, 390, 515, 638, 759?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*z + 159, 20*f - 17*f - 9 = 0. What is the smallest common multiple of 9 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4409*d + 48498. What is s(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367467.\nAnswer: 3, 122489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10371769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 - 2*m + 2*m**2 + 4*m**2 + m.\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnnnnnplnnll. Give prob of sequence np.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 10*z**2 - 9*z - 5. Let q be w(9). Let v = 21 - 14. Let u be 22\/(-583) + 938\/(-424) + 3\/(-4). Put v, u, q in descending order.\nAnswer: v, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 165 - 48. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9967434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 205*c - 63 + 50 + 13 - 17*c. Let a(d) = -8*d**2. Determine s(a(w)).\nAnswer: -1504*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = -4*q + a, 4*q + 5*a + 44 = -113. Do q and -48 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4142 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 276\/(-8)*4\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -246207*g**3 + 5005*g**2 - 1 wrt g.\nAnswer: -1477242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + 3.22. Let m = w - -1.8. What is the nearest to m in -4, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15946606*l - 17573832?\nAnswer: 15946606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(2\/7))*n**(-1)*n)**(-1\/2)\/(n\/(n\/n**1*n)*n**(-2\/21)*(n*(n\/n**1*n)\/n)\/((n\/n**(3\/4))\/n)) assuming n is positive.\nAnswer: n**(-127\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 838789020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 19*r**2 + 8*r - 5. Let o(p) = -p**2 - 2*p + 3. Let q(c) = 4*o(c) + s(c). Let t(v) = -8*v**2 - 3. Determine 3*q(k) + 7*t(k).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 22 = -2*c, -3*g + 44 - 7 = 70 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609882.\nAnswer: 2, 3, 7, 13, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -407 + 411. Solve 1 = -w + o*x, 0 = x + 2*x - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 616\/33 + ((-3)\/(-9) - 0). Suppose -j*s + 182 = -5*s. Suppose -6*g + 3*g = -4*t - 42, 14 = g + 3*t. Which is greater: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4 - y**3 - y**2 - y + 2 + 0*y**2. What is the units digit of c(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -317 + 474. Let d = y - 157. Let p(q) = -q**3 - q + 2. Calculate p(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7949756 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000115447528 rounded to six dps?\nAnswer: 0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.54 + 0.06. Let g = -6.9 + t. Which is the second biggest value? (a) g (b) 1\/3 (c) -3 (d) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33\/5, 3\/2, -3, -3\/4, -1\/3 in increasing order.\nAnswer: -33\/5, -3, -3\/4, -1\/3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2. Let r(t) = -32*t - 1. Let x(k) = 7495*k + 10. Let m(g) = -12*r(g) - x(g). Calculate m(j(d)).\nAnswer: -14222*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 15. Suppose -2*q - 2*l - 2*l = -8, 3*q - 2*l + v = 0. Suppose -2*z - b + 4*b - 1 = q, -5*b - 11 = 3*z. Sort 3, -5, z in decreasing order.\nAnswer: 3, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -25, -22, -17, -10, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*f + 110*f + 67*f.\nAnswer: 148*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 6 + (29 - 13) + -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 - 2*g - 5. Let f(d) = -3*d**2 + 2*d + 4. Let s be (1\/(-4))\/((-14)\/(-224)). Give s*l(w) - 5*f(w).\nAnswer: -w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 3*r**2 + r. Calculate the lowest common multiple of 9 and j(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 13*p**2 - 28*p - 6. Let c be v(-11). Sort -5, c, 4, -1.\nAnswer: -5, -1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 434868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*304\/192*(425\/5491)\/(-25)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.7 - 6. Let m = d - -0.2999956. What is m rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56.8 + 57.166. Let s = 0.266 - z. Let b = 25.39 - 25. Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147476164 divided by -6.\nAnswer: 73738082\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25122 - 25094. What is the remainder when ((-2)\/(-5))\/(16\/2880) is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 47, 87, 151, 245, 375?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52313371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4}. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from nnnbbpb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4023518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -628*f*h**2 + 6*f*h*y - 2179*h**2*y - 12 wrt y?\nAnswer: 6*f*h - 2179*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3983 - -1.39. Round f to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -40. Suppose r - 175 = -3*t - 23, -r + u*t + 144 = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 13*x - 71. Let l(u) = -6*u + 36. Let f(j) = 7*l(j) + 4*n(j). What is the first derivative of f(c) wrt c?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 1)*((5*c - 3*c + 0*c)*(-2 - 4 + 2) - c + 3*c + 0*c).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 1:23 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*h**4 - 38*h**3 + 60*h**2 - 42*h + 11.\nAnswer: (h - 1)**3*(9*h - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) + 106\/(-190). Let s be (-6 + (-207)\/(-36))\/(2\/8). Which is smaller: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -518, -360, 118, 1078, 2682?\nAnswer: 5092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/433 and -9\/8?\nAnswer: 3464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -36564a62?\nAnswer: -36564a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**3\/3 + 4*t**2 + 2*t + 733. Give n(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -2 (c) -17416 (d) -1\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) - (-81)\/(-15). Sort k, -7, 0 in descending order.\nAnswer: 0, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 3*n**2 - 43*n - 27. Calculate h(-6).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4601597673.\nAnswer: 3, 101, 15186791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 4:25 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7752)\/(-2907))\/((-96)\/84)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 902 is divided by 890?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 14, 29, 48, 71, 98, 129?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (436\/(-6))\/(((-84)\/18)\/7).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1935)\/(-6))\/((-3)\/(-2)). Let w(p) = 2*p**2 - 5*p + 2. Let g be w(3). Suppose -u + 5*y + 26 + 47 = 0, -g*u = 5*y - s. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*y = -14, 5*i - 14 = -2*y - 2. Suppose 2*g - 6*l + 2*l - 380 = 0, -i*g - 2*l = -386. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100 + 10?\nAnswer: -1110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, -4818, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100001110010 (base 2) in base 11?\nAnswer: -477a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -44305?\nAnswer: -44301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(22100\/(-936))\/(-85)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 8 = 2*m. Let l(s) = -11 + 136*s + 37 - 141*s. Is l(m) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s - 33 - 51 = 0. Suppose -s*n - 44 = -2*n + g, -n - 50 = 3*g. Is -41 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 + 1.03. Let t = q - 1.3. Sort t, 0.5, 2 in descending order.\nAnswer: 2, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37930.56l in millilitres?\nAnswer: 37930560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25)*-6 + sqrt(25))*3)\/(sqrt(125) + 3*sqrt(125)) + 3.\nAnswer: -3*sqrt(5)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*d = -183*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/(-8) - (-3)\/(-1). Suppose 4 = -3*h - 3*s + b, 4*h - 5*s - 32 = 0. Solve 0 = 5*a + 3*d + h - 15, -4*a = -4*d + 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6495, -20, 6441, 12882, 19297, 25680, 32025, 38326?\n\"Answer: -u**3 - u**2 + 6485*u - 12978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/((-15)\/15).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 3. Let b be q(5). Let u = b + 0. Let f be ((-9)\/(-6))\/((42\/16)\/(-1)). Is f less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*u + 14260 = -103*u - 85*u for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(88)\/sqrt(2) + sqrt(55)\/(sqrt(5) + sqrt(80)) + 2 + sqrt(891) + (sqrt(11)*-2 + -5 - sqrt(11)))**2.\nAnswer: -246*sqrt(11)\/5 + 18691\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 91*5 - 1\/(1 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*t - 215*t - 3710*t.\nAnswer: -4140*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**3 - 40*l**2 - 15*l + 9. Let y be o(7). Solve -y*n - 2*n = 3*c - 5, 3*c + 1 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19019, 20521, 23025, 26531, 31039, 36549, 43061?\nAnswer: 50575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18366874 to the power of 1\/2, to the nearest integer?\nAnswer: 4286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 5:19 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/13)\/(n\/(n\/(n*n**(-1)\/n*n))))\/(n*n**(-1)*n)**28*(n**(-6)*n\/(n*n*n**(-2\/27)))\/(n**4*n*n*n*n**(-1\/7)) assuming n is positive.\nAnswer: n**(-102283\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11102001 (base 3) to base 14.\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**2 + q + 4*q**2 + q**3 - 2*q**2 + 0*q**2 as m*q + b*q**3 + g*q**2 + a and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.5 + -6. Let c = 0.025 + 3.675. Let f = c + -4. Put -4, f, q in descending order.\nAnswer: f, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + t**2 - 7. Let m(k) = -339*k**3 - 660*k**2 + 105. Let i(j) = -m(j) - 15*v(j). Find the third derivative of i(u) wrt u.\nAnswer: 1944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 - 7*l - 43. Let o be m(10). Let b be ((-9)\/(-12))\/(-1) + o\/68. Let f be ((-2)\/(-4))\/((-2)\/(-32)). Solve -2*g = b*g - f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -530, -536, -532, -518, -494?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*a + 63, 2*z = -0*z + 3*a + 57. Suppose 8*h - 4*h + 9 = g, 3*g + z = -5*h. Calculate the common denominator of 3\/11 and 2 + (-4 - 68\/g).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1139 is divided by 1012?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**4 - 4315*k**3 + 74420*k**2 - 334100*k + 264000 = 0.\nAnswer: -880, 1, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -363 (base 14) in base 12?\nAnswer: -483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105402 is divided by 118?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -84*n + 1731. Let t be u(19). Let v(c) = c**2 - 9*c - 9. Let g be v(-6). Calculate the highest common divisor of g and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/725595 and -118\/83265.\nAnswer: 5079165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, -675, -1901, -3603, -5775, -8411, -11505, -15051?\nAnswer: -19043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 2*h + 3*h)*(2*h - 3*h - h) - 3*h**2 + 4*h**2 + 0*h**2 - 6697*h + 6697*h - 506*h**2 + 4*h**2 + h**2 - 3*h**2.\nAnswer: -501*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4 + 34*x**3 - 2*x**2 - 34*x = 0?\nAnswer: -17, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3846?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 6:32 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 + 20*k - 85. Give t(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 143\/5? (a) -0.43 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -5 (b) 4 (c) 1 (d) -1578 (e) -86 (f) -0.09 (g) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 17. Let v = y + -6. Let l(p) = -2*p. Determine l(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3933672332 to the power of 1\/2, to the nearest integer?\nAnswer: 62719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven eighths of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 17 = y. Let z = y + -5. Suppose -5 = -n, -2*d + z = -3*n + 2*n. What is the highest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**4 - 2*h**4 + 2*h**4 + (-2 - 1 + 2)*(0*h**3 + 0*h**3 + 2*h**4) + 2*h + 6*h**4 - 2*h to w*h**4 + n*h**2 + x + j*h**3 + a*h and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 801564487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/40*1 - 1586\/(-16). Let j = -87 + z. Solve 5*b - 5 = -2*u + j, 35 = -5*u + 3*b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175 + -120. Let r = 59 - u. Suppose -4*m - l = -9 - 3, r*m = 4*l + 12. Solve m - 5 = 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 2*k**2 - 7*k + 4. Does 5 divide n(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 5. Let q be 0 - (8\/(-3) + 3). Which is the second biggest value? (a) d (b) 1\/8 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 521\/358 + 8\/179. Let l(i) be the second derivative of -15*i + 0 - f*i**4 + 0*i**3 + 11\/10*i**5 + 0*i**2. Find the third derivative of l(k) wrt k.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 73196?\nAnswer: 21958.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1648 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47090 + 10704 = -14*v. Calculate the highest common divisor of 23 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*h)*(11*h**3 - 143*h + 143*h) - 182*h**4 + 12 + 5 - 17.\nAnswer: -160*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4659*a**6 + 3340*a**5 - 363810083*a**2?\nAnswer: -559080*a**3 + 200400*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 99\/44*(-2560)\/(-192)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16408135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from kiiooioiikk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 8*o - 9. Calculate d(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c + 1 - 1 + (5 + 3 + 19)*(0 + 0 + 2*c) to the form d + n*c and give n.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 30*f. Let q be d(-1). Let m = q - -18. Which is greater: -11 or m?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.31 + 0.37. What is the third biggest value in 0, -1\/4, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -10, -30, -66, -124, -210?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -241863845?\nAnswer: -241863844.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/11 in 2, 223, -0.04, 18?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*c - 9, 5*k + 5*c - 5 = 0. Suppose 303 + 18 = k*s. Suppose 3*g = 3 + 33. What is the remainder when s is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j + 96. Let s be (-8 - (-1525)\/40) + 5 + 123\/(-24). What is the highest common divisor of j and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**3 - 1. Let l be v(1). Suppose 0 = -l*t + 6 - 0. Suppose 131 = r + 6*a - 3*a, 0 = -t*r - 3*a + 268. Is 31 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -348, -1824, -5832, -13638, -26508, -45708, -72504, -108162?\n\"Answer: -211*x**3 + x - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.68, -10, -5\/114, 0.5 in increasing order.\nAnswer: -10, -4.68, -5\/114, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 339042 and 35574?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**5 + b**4 - b**2 + b. Let l(v) = 12*v**5 + 12*v**4 + 40*v**3 + 48*v**2 + 12*v + 4. Let m(r) = 8*g(r) + l(r). Factor m(d).\nAnswer: 4*(d + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -4*l + 99. Let u = 3 - -19. Calculate the remainder when l is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45036 - 17435. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 71.70592 days?\nAnswer: 6195391488000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -306*j + 326*j - 120. What is the closest to -2 in -0.04, 5, j?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8864791657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-48\/11)\/m**(-28\/5)*m\/m**(2\/15)*m**24 assuming m is positive.\nAnswer: m**(4307\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*y + 1309 = 363 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 88, 29279, -1, -1\/2.\nAnswer: -3, -1, -1\/2, 88, 29279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*sqrt(539)*-1*-1 - ((sqrt(539) + 1 + 4 - sqrt(539)) + -2)).\nAnswer: -8 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 118\/153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79173135.\nAnswer: 3, 5, 821, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 1584139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b**2 + 8*b - 8*b + (3*b - 3*b - 2*b)*(-4*b + 5*b - 4*b + 1).\nAnswer: 12*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143 - 107. Let t be (-3948)\/(-38) - u\/(-342). What is the highest common divisor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -55824, -111857, -167892, -223929?\n\"Answer: -l**2 - 56030*l + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -7, 19, 5, -5, 3 in increasing order.\nAnswer: -13, -7, -5, 3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**4 - 7*m**3 - 5*m**2 + 7*m - 1.\nAnswer: (m - 1)**2*(m + 1)*(6*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.063 - 0.453. Round w to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75493*c**5*r + 954*c**5*u - 30*c*r*u + 78721*r + 65*u wrt c?\nAnswer: 1509860*c**3*r + 19080*c**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 8*k**2 - 14*k + 7. Give z(10).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -187*q**2. Let g(b) = -3*b + 3*b + 99*b**2 - 104*b**2. What is g(s(j))?\nAnswer: -174845*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 58094511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10151*w - 120*w**2 - 10151*w)*(-5*w**2 + w**2 + 3*w**2) to r*w + t + n*w**2 + y*w**4 + b*w**3 and give y.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 53187, 0, 2, -27, 5 in decreasing order.\nAnswer: 53187, 5, 2, 0, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1132 - w**2 - 1132.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 529618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6149.5487 + -0.018\nAnswer: -6149.5667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 5*u - 11 = 12, 40 = 4*u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*129145\nAnswer: 9040.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 77*u**2 + 32*u - 28*u - 82*u**2 - 126*u**2 - 107*u**2 to h + p*u + c*u**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 2)*((-1280)\/70 + 18). Which is the second smallest value? (a) t (b) -4 (c) 7 (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -630, -1399, -2184, -2991, -3826?\n\"Answer: -x**3 - 2*x**2 - 756*x + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8535, 8599, 8663, 8727, 8791, 8855?\nAnswer: 8919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2806 is divided by 47?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15012507 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ashmsssh. What is prob of sequence ah?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, x: 3, k: 7}. Give prob of sequence xwkw.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3 - 57*j**2 - 240*j + 300 = 0. What is j?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94 - -64. Let z = -17 - j. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = r - 9 - 0, 0 = 4*r - 4*c - 20. What is the third derivative of 13*w**2 - 1228*w + 1228*w + 7*w**r wrt w?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6141 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: Simplify (((s**(1\/6)\/s**5)\/(s*(s**0*s*s)\/s*s*s)**31)**(6\/17))**41 assuming s is positive.\nAnswer: s**(-31693\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 1:39 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182 + -171. Solve l = -4*d + 19 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -s + 4*u, -3*u + 226 = 5*s - 0*u. Suppose 0 = -3*o + 25 + s. Suppose -2*d - d + 36 = 0. Calculate the remainder when o is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*o - 498851 + 502451 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((744\/62)\/780)\/((-1)\/(30\/(-4)))\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((56\/(-140))\/((-16)\/15))\/((-3)\/(-4))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*s + 8*s + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/9 and 1\/2093.\nAnswer: 18837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.084, 6\/11, -2\/5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 254302357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3 + 80946*z**2 + 12766332*z - 6403402 = 0. Calculate z.\nAnswer: -157, 1\/2, 20393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4779000 to the nearest 100000.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.2, -4, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*(-3 + 7))\/2. Suppose 12 = 2*z + a*z. Find the second derivative of u - 8*u**3 + 0*u**z + 0*u**3 wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-42)\/12)\/7 - 2055\/(-6) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 839906880 to the nearest integer?\nAnswer: 28981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -65074841.18566 and 0.3.\nAnswer: -65074840.88566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 39, 5, 10, -2\/11 in ascending order.\nAnswer: -4, -2\/11, 5, 10, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39, 336, 835, 1542, 2463, 3604, 4971?\n\"Answer: j**3 + 95*j**2 + 5*j - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3063.51 to the nearest 10.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/((-210)\/203 - -1) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 59*s - 867. Calculate a(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 130\/30 + (-1)\/3. Suppose -o = o - l. Solve o*a = -a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3*j = -2*n - 11, 3*n = -5*j - 20 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -156*g**2 + g - 53 + 83*g**2 - g + 76*g**2 to y + n*g**2 + q*g and give y.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by ((-1)\/(-2))\/((-7)\/14) - -14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(96)*4)\/((sqrt(96)\/sqrt(4))\/sqrt(8) - sqrt(147)*1)*6.\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000390792 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5316 or 1372?\nAnswer: 5316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6 = v. Suppose -v*b + l = -55, -b = 3*l - 25 + 10. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-45)\/(-51)) + 3. Let j = 3 - 4. Is j >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/36 and -59\/240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514173029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, -970, -2\/11?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225700?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j**(-1\/48)*j)\/j)*j)\/(j**(-2\/47)*j)*((j*j**(-4\/15))\/j*j*j)**(-32))**(2\/127) assuming j is positive.\nAnswer: j**(-602389\/716280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-89 - (77 - 146)) + (0 - -57).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/14 + (-4)\/14. Let v = 262 + -230. Suppose -32 = -2*j - v. Solve -4*p + o - 6 = j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**10\/756000 + x**9\/30240 - x**8\/4032 + 17*x**5\/60 + 25*x**2. Let n(o) be the third derivative of j(o). Solve n(t) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85789484 divided by 2299?\nAnswer: -37316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 2*q + 36594 = 36734 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -12544*a**3 + 19*a**2 - 30*a + 73. Let s(h) = -4704*h**3 + 7*h**2 - 11*h + 27. Calculate -7*r(c) + 19*s(c).\nAnswer: -1568*c**3 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 6*r**2 - 49*r - 27. Let d be a(12). Put -3, d, -4 in decreasing order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*2\/8*4. Suppose 0 = 3*u - 2*u + t*g - 10, -3*g = u - 12. Let n = u + -6. Which is smaller: -2\/39 or n?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**6\/1020 + 7*u**5\/510 - 7*u**4\/51 + 20*u**3\/51 + 261*u**2. Let k(x) = 0. What is x?\nAnswer: -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121210201 (base 3) in base 9?\nAnswer: 47721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404 = 119*o + 128 + 20 + 519 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13959*g**2 + 3 + 749*g**3 - 4 + 13415*g**2 wrt g?\nAnswer: 4494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.81 - 3.01. What is the nearest to 0.2 in 0, o, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -0.4, -0.05, -2771, 3 in descending order.\nAnswer: 72, 3, -0.05, -0.4, -2771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -78*c**3 + 19*c**2 + 132*c + 80. Does 6 divide t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {i: 1, t: 16, n: 3}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2600.47 - -48.47. Let l = 2548.646 + y. Round l to 1 decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -4*i - 34, 5241*v + 710 = -64*i + 5244*v for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 10:46 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + -65. Let g = l + 119. Let i = -63 + 127. Calculate the remainder when i is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -60*u - 3. What is the tens digit of f(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 5*f**2 - 5*f - 5. Let d be r(6). Let o = 13 + -15. Let x = -17 + 20. Which is the closest to d? (a) x (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**5\/3 - 10*l**4\/3 - 8368*l**3\/3 + 238832*l**2\/3 - 557536*l\/3 - 2137120\/3 = 0.\nAnswer: -74, -2, 5, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -93 - 2*2\/(-4). Is l\/(-22) - (-2)\/(-11) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 598 + -281. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*b - 3*i - 1520, 4*i = -b + 328. Let c = 82 + b. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 8*q - 1. Let u be r(-3). Let c = 51 + u. Let n = -8 + 22. What is the remainder when c is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -4, -3077, 2, -34 in decreasing order.\nAnswer: 2, 1, -1, -4, -34, -3077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6 + 6. Let i = 18 - w. Find the second derivative of -11*g**2 + 12*g**2 + 15*g**2 - i*g wrt g.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1089256, 1089249, 1089242, 1089235, 1089228, 1089221?\n\"Answer: -7*u + 1089263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14, 29, 44, 59?\n\"Answer: 15*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -12. Let o = b + -4. Let a = 7 - o. Is a equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 290147 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 3*p - 6 = -0, -4 = -7*d - 4*p - 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + a + 9*a**2 - 7 + 0*a + 11 in the form j*a**2 + g*a + f and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/5))**(2\/85)\/(r*r*r**11*r**(-22)) assuming r is positive.\nAnswer: r**(3831\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291181 is divided by 58232.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2905 is divided by 950.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**5\/140 - h**4\/84 - h**3\/21 + 4*h - 26. Let l(w) be the first derivative of z(w). Factor l(s).\nAnswer: s*(s - 2)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -23*w. Let o(m) = -8*m - 7*m - 21*m + 34*m - 11*m. What is l(o(t))?\nAnswer: 299*t","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is -3b (base 12) in base 5?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 8 - 5. Suppose -2*t + 9 + o = 0. What is the highest common factor of t and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*f + 8. Let v be 572\/18 + (-10)\/(-45). What is the highest common factor of f and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*y - 39. Suppose -4*j = -c + 3*c - y, -2*j + 2 = -c. Suppose 5*m = 48 - 8. Solve -m = -4*r + c*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.4 - 0.0162.\nAnswer: 7.3838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -263\/4, 13\/4, -7, -0.2 in increasing order.\nAnswer: -263\/4, -7, -0.4, -0.2, 13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**2*p**2 + 247*o**2*p*q - 130*o**2*q + o*p**2 - 8577*o*p - p**2*q wrt o.\nAnswer: -4*p**2 + 494*p*q - 260*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89661 and 418?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3 = -12. Let w be 1 + i\/(-6)*-2. What is the derivative of u**w - 5*u**2 + 5*u**2 + u**2 - 3 wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-4)*11)\/(-1). Suppose -5*p + 16 - c = 0. Let q = p - -1. What is the nearest to 2\/5 in q, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 288906 * 5.\nAnswer: 1444530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35463 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*g + 17. Suppose g*x + 4*y - 10114 = 0, 24*x - 26*x + y = -10099. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4386 - 23*t + 31*t + 4384.\nAnswer: 8*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-50))\/(298\/100 + -3). Suppose -o*r + 8670 = 10*r. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380, 1064, 2068, 3398, 5060?\nAnswer: 7060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7991 + 8409. Calculate the remainder when x is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2 + 0*z + 0 + 6*z. Let q be h(-2). Let g = 1 + q. Which is bigger: g or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 192*g + 12473. Calculate b(-65).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/11 + 1918*k\/11 - 3844\/11.\nAnswer: 2*(k - 2)*(k + 961)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 1\/390*s**5 + 3*s**2 - 1\/780*s**6 + 0 + 0*s**3 + 0*s**4 + 0*s. Factor a(x).\nAnswer: -2*x**2*(x - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 + 54*q**4 + 0*q + 6*q + 0*q**2 - 52*q**4 in the form r*q + j*q**2 + c + u*q**4 + k*q**3 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 9 = 29. Let b(u) = u**3 - 7*u**2 + 4*u + 2. Let q be b(6). Let d = -6 - q. What is the nearest to -1\/4 in 2\/15, c, d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11900\/525*(-36)\/102\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4748395 is divided by 4031?\nAnswer: 3908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/6 and 35\/486.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5) + 48\/35 + (-4 - -96 - 97)\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3191805277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 s when four letters picked without replacement from qqsxxsxqsw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + 13 + (-22 - 9) + 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 71 + 77. Which is the nearest to k? (a) -0.1 (b) -0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3662*z**4 + 609*z**3 - 37*z - 388010440 wrt z.\nAnswer: -14648*z**3 + 1827*z**2 - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 10*m - 264 = 0. Suppose -34 = -t - m. Let w be (-2)\/1 + t + 24. What is the highest common divisor of 30 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-135)*2\/5*(-2268)\/(-30240)?\nAnswer: 1\/250","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58819 + 9859 = 576*a for a.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 + -50?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 3. Let a(z) = z**2 + 24*z + 47. Let i be (-5)\/(130\/576) + (-4)\/(-26). Let m be a(i). Sort v, 4, m in decreasing order.\nAnswer: 4, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 178.2 (b) 0.2 (c) 0.5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 3*v + v + (-v + 2 - 2)*(1 + 3 - 2) - 2*v - 1 + 1 in the form w + h*v and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1026*h + 92334. Calculate l(-90).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1266 or -1253?\nAnswer: -1253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -692*g + 1384. Let u be f(2). Let h(c) be the second derivative of u - 7\/6*c**3 + 17\/2*c**2 + 38*c. Find the first derivative of h(s) wrt s.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**2*j**2*n + 12*h**2*j**2 - h**2 - 11*j*n + 3*n wrt j.\nAnswer: -6*h**2*n + 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15160 - 30301\/2. What is the fourth smallest value in a, -1, -2\/13, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-28) + -1 + 20\/7. Let l(i) = -3*i**2 - 2*i - 5. Let c(m) be the second derivative of -m**3\/6 - m**2\/2 - 111*m. Give q*c(b) - l(b).\nAnswer: 3*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnn. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -328\/7 - -3650\/77. Suppose -3*f + 5 = 2. Is n > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4028 by -1007.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-21)\/(-7) - -63. Differentiate -295 + u*r**3 + 256 - 20*r**3 wrt r.\nAnswer: 135*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 179499114 and 23161176.\nAnswer: 717996456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 10:43 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a481 - -228?\nAnswer: 1a6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*n - 8*n + 76*n**2 + 20 - 81*n**2.\nAnswer: -5*(n - 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 157006212 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2559 (base 16) to base 3\nAnswer: 111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1737679\nAnswer: 1737681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4534 < -613.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16038 = 31*i - 183075. Calculate the remainder when i is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/24 and (-8)\/(-6) + (-41890)\/28968.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 7:04 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 - (84 + -85).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y + 825 - 249 = 0. Suppose 16 = -4*f, -f = -6*g + 3*g - 59. Let q be ((-9)\/g)\/(y\/(-24)). What is the third smallest value in 0, q, -5, -2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 67, 242, 647, 1396, 2603, 4382, 6847?\n\"Answer: 19*r**3 + r**2 + 39*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 8*d**2 + d + 6. Let q be l(-8). Let h be q\/16*(-2)\/1. Which is the smallest value? (a) 0.5 (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 40 = -3*b, y + 50 = 3*b - 0*b. Suppose 4*s + b = -56. Let n = s - -56. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.33629526 to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 5*t. Suppose 5 = 5*h + 5*z, -10 = -5*h - 3*z + 3. Suppose u + b = 91, 2*b + 1 - h = t. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0, 0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29894, -59720, -89546, -119372?\nAnswer: -149198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3933, -7858, -11783, -15708?\nAnswer: -19633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven halves of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7175019 milligrams?\nAnswer: 0.0000000007175019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((120\/(-56))\/5)\/1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13886589 is divided by 2494?\nAnswer: 2491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - t**3)*(-1 - 2*t + 1) + 2*t**4 + 15*t**3 + 335 - 335.\nAnswer: 4*t**4 + 15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p = -1582*p - 136576 for p.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 1:37 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 48327386100 to the nearest one million.\nAnswer: 48327000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - j**3 + 30*j**2 + 0*j**2)*(2*j**2 + 2*j**2 - 6*j**2).\nAnswer: 4*j**5 - 60*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -903*f + 1162 = -6965 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 12*d**2 - 217*d - 534. Determine v(20).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i = 25*i - 20. Let a be (-440)\/(-77) + i\/14. Solve 2*d + 0 = a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 1044125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -34?\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -21*(504\/(-630))\/((-84)\/(-10)). Let f(w) be the first derivative of -1\/3*w**3 - 4 - 5*w + 7\/2*w**m. What is f(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34667\/4 - 8828. Let y = m + 35481\/220. Find the common denominator of -1\/20 and y.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -136, -0.14, -1\/8, 1\/7, -5, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-18) + (-8)\/(-36). Suppose b = 10*t - 5*t - 1530. Is t a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.740573 kilometers in nanometers?\nAnswer: 5740573000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/15, 0.06, 12, -3\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1623 times -74\nAnswer: 120102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 19. Let p be u(8). Let j be (0 + -1)*(-1 + 1). Let l = j - -3. Do p and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-268)\/(4\/(-5)*(30 + -25)). Which is bigger: 81 or k?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48.9999988 + 49. What is r rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/(-44))\/((-12)\/16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 5 (b) -5 (c) 237\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3412400743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -10. Let s be (-74)\/(-26) + 4\/26. Suppose 0 = -0*y + y - s*z - 5, -y = l*z - 20. What is the remainder when 39 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 390329762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 - -83. Let d = 35 + k. Is d a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201693981 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - y - 1. Let x = -419 - -402. Let n(r) = 17*r + 17. Give x*t(z) - n(z).\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coc when three letters picked without replacement from osswmmcoomcswwcm.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g*m**2*q**4 - 3*g*m*q**2 + 23*g*m*q + 19054*m**2*q**2 + 686108*q**4 wrt q.\nAnswer: 72*g*m**2*q + 16466592*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 121555*l - 1336984.\nAnswer: -(l - 121544)*(l - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -1 - 7) + (3 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1186*x = -1094*x - 148*x - 58272 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 636 = o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20655?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -508*j**2 - 2. Let y(d) = -8*d - 10*d - 2*d + 22*d. Calculate l(y(a)).\nAnswer: -2032*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3700939 a multiple of 1485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/8)\/f*f*f\/f**1)\/(f*f**1*f\/(f*(f\/(f\/((f\/f**(-4))\/f))*f)\/f)*f*f))\/(f*f**(-1\/11)*f\/f**(-1\/4)*f**(2\/5)*f*(f*f**(-2))\/f) assuming f is positive.\nAnswer: f**(-521\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156 divided by 7.\nAnswer: -156\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2674446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.18202 - -0.21798. What is the nearest to -1 in 0.5, 18, v, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (5 - (-4 - -4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*w - 17, 0 = -5*w + 5*o + 10 + 20. Suppose 0 = w*m - 4 + 9. Is 1 + 1 + 22 + m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36241110 to the nearest integer?\nAnswer: 6020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 12. Let f be u(14). Solve 3 = p - f*t, -2*t = -6*p + p + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 114970845?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -515932224 divided by 4?\nAnswer: -128983056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68059 and 0.242?\nAnswer: 16470.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 4\/5, 1\/7, -1\/4, 0.162?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 12:11 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p + 32*p = -3*i + 18, 8 = -2*p + i for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -1096*d + 1091*d - 0*u + 5*u, 3*d - 4 = -2*u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000425 to five dps.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 13 - (-5 + 9 + -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -142300 (base 6) to base 13\nAnswer: -61b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*4*-5)**2 + -2.\nAnswer: 919598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q. Let o be 0\/(9*(-2)\/(-6)). Let r(b) be the third derivative of -1\/12*b**4 - 2*b**2 + o*b**3 + 0*b + 0. Give r(a(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 45 = 5*k, 5*k - 16*k + 83*a - 20 = -10*k - 11 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = 6*h + 111 - 115. Let u = 61 + -25. What is the lowest common multiple of h and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -147*m*u**5 - 415*m*u**4 - 478*m*u**2 + 170*m wrt u?\nAnswer: -8820*m*u**2 - 9960*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, x: 9}. Give prob of sequence ixx.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 541205332 to the nearest integer?\nAnswer: 23264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**3 - 3*s**2 - 10*s - 3. Let m(t) = 6*t**3 + 2*t**2 + 11*t + 2. Give 6*m(y) + 4*w(y).\nAnswer: 16*y**3 + 26*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21022 + 0?\nAnswer: 21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*h - 37*h - 6 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = j + 3*o - 9, -3 = 2*j - 3*o. Suppose -j*b = 2*b - 20. Solve 6 = b*g - 7*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 11*u**2 + 12*u - 6. Let w(p) = p**3 - 2*p**2 - 6*p + 5. Let b be w(3). Is 26 a factor of s(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3352 and 174?\nAnswer: 291624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2926, -2900, -2856, -2788, -2690, -2556?\n\"Answer: q**3 + 3*q**2 + 10*q - 2940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 549 and 33.\nAnswer: 6039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7.28*-232\nAnswer: 1688.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 3. Let w be d(1). Let h = w - -3. What is the highest common factor of h and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 3*z + 4. Let w be u(-2). Factor -18*x**w + x**2 + 8 - 3*x**2 - 12*x.\nAnswer: -4*(x + 1)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 4*d**2 - 27451*d + 164777. Determine p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/13, 2, 44, -1\/30, -5, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -3. Let k = b - 5. What is the second biggest value in 4, k, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 519778 and 208670.\nAnswer: 3794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 312, 5586, -2.\nAnswer: -4, -2, 312, 5586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3*s + 16 + 3 = 0, -2*d + 3*s - 16 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-10))\/x*x*x*x**(5\/8)*x**(-3)\/(((x*x**27)\/x)\/x*x))**(-1\/72) assuming x is positive.\nAnswer: x**(299\/576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 13882839.243 to the nearest one hundred thousand.\nAnswer: 13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 42*q**2 + 77*q + 125. Let l be k(40). Solve -2*m = -l*b + 10, 2*m - 2 = -3*b + 2*b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2. Suppose -1602 = -p - 4*x, 4741 = 3*p - 0*x - x. Let b(g) = -1582*g + 5*g**2 + p*g. Give b(z(o)).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**2 - 72*d - 1579. Is g(68) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 82 = 90*r - 189*r + 94*r, 0 = -5*r - 70 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57129.33ng in tonnes?\nAnswer: 0.00000000005712933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 0 + 3)*(-3 - 1). Is (-24 + y)\/7*183\/(-4) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 265237 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -874181 divided by 11.\nAnswer: -79471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -10*f - 17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 + 3*i**2 + 0*i**2 + (0*i - 12*i + 2*i)*(0*i + 2*i - 3*i) as y*i**2 + z + w*i and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.349015 days to weeks.\nAnswer: 0.764145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194 divided by 3244614.\nAnswer: 97\/1622307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7316600?\nAnswer: 2, 5, 36583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*d = -4, 78 = 2*j - 2*d. Let t = 44 - j. Solve 0 = 4*r + l + 16, -4*r - t*l - 16 = -3*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7127644 micrograms to nanograms.\nAnswer: 712.7644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 666269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 3 - (-2 + 4). Let c be d - (-8)\/2 - -252. Let g be c\/6 + 3\/(-9). Calculate the greatest common divisor of g and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.104211 from -3096620.76.\nAnswer: -3096620.864211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*s + 3*j + 18682 - 18622 = 0, 3*s + 12 = -0*j + 2*j - 40 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4252 divided by 1063.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 2*v - 3*v + (-30 + 55 - 16)*(0*v + 3*v - 4*v) + 0*v + 3*v - 4*v to i + j*v and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2043*y**2 - 11. Let r(n) = -511*n**2 + 3. Let f(h) = 6*q(h) + 22*r(h). Let k(d) = -2*d**2. What is k(f(l))?\nAnswer: -2064512*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + o**2 + o**4 + (4 - 2*o**2 - 4)*(-o**2 - 2*o**2 + 4*o**2) + 37*o**4 + 4*o**4 + 2*o**4.\nAnswer: 42*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 453858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by -16595.\nAnswer: 66\/16595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -20*l**2. Let b(x) = x**2. Let k(h) = -15*b(h) - f(h). Let n(r) = 4 - 2*r - 4. Calculate k(n(v)).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -835 + 835. Is x at least as big as 3\/1448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p - 8. Let l(a) be the second derivative of -2*a**3\/3 - 7*a**2\/2 + 829*a - 2. Calculate -7*l(u) + 6*q(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2942 + 2945. Solve 0 = 227*t - 230*t - j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 139892819 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 7*f**2 - 3*f + 37. Suppose 360 = -33*j - 12*j. What is x(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -38. Let i(n) = n**2 - 3*n - 2. Calculate i(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-18) - (-369460)\/(-7482) - (-12)\/258\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**5 + 770*b**4 + 17370*b**3 + 141820*b**2 + 476525*b + 512442 = 0.\nAnswer: -747, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011002201101 (base 3) to base 12.\nAnswer: -25630a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + -4 - 1\/1. Let o be 158*6*l\/8. Suppose -d + o = 2*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54100 - 2719 = 9*q. What is the highest common factor of q and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 386721910 to the nearest 100000.\nAnswer: 386700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8.6988+-41\nAnswer: -32.3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**2*j**3 - 130*f**2*j**2 + 9*f**2 + 845*j**5 wrt j.\nAnswer: -12*f**2 + 50700*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.507 and 0.05.\nAnswer: 0.02535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 206285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*h = -159*h - 42. What is the hundreds digit of h + 19740\/24 + (-1)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4073 is divided by ((-24160)\/24)\/(-4)*(-48)\/(-80)?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249 and 350841?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 - 4*z**2 + 2*z**3 + (3*z**2 - z**2 - 3*z**2)*(-33*z - 34*z + 8*z) to r*z + j*z**2 + d + g*z**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 2*f**2 - 2*f + 1. Let n be t(1). Suppose 0 = -6*d + 24 + 6. Suppose d*m + m = n. Solve 3*k + 3*q = m, -5*k - 3*q + 8 = -0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -6. Suppose -t + 7 = g. What is the remainder when 7 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.535500641189 less than -0.08?\nAnswer: 27.455500641189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 3 - 3 - p)*(2 + 2 + 1 + (2 - 5 + 2)*(2 - 1 - 3)).\nAnswer: 14*p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(637) + 1 + -5)*1)**2 + -4.\nAnswer: -14*sqrt(13) + 634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 - -68. Is 45 a factor of (-45)\/4*-3*(10 - m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 7*d**2 - 4*d - 6. Suppose 0 = 5*t + 11 - 1. Let s(m) = 4*m + 1. Let v be s(t). Calculate the remainder when r(v) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*p**2 + 12*p**3 + 24*p + 280*p**4 - 10*p**2 - 8 - 282*p**4 = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r**3 - 49*r**2 - 7*r - 2085. Let w(a) = -3*a**3 - 14*a**2 - 2*a - 695. What is -2*g(n) + 7*w(n)?\nAnswer: -n**3 - 695","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02947 and -1016351956.\nAnswer: -1016351956.02947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412 = 7*m - 5*m. Suppose -767 = -95*c + 1703. What is the remainder when m is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 1, -5.\nAnswer: -51, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4695 + 4703. Solve 22 + 34 = -p*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) -38341 (b) 0.05 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -1. Suppose 4*q = 5 - 21. Put 1, q, d in decreasing order.\nAnswer: 1, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166, -5\/4, -1, -0.104 in decreasing order.\nAnswer: -0.104, -1, -5\/4, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6*1434118\nAnswer: 8604708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -425*t**3 - 62110320*t**2 - 2269228308165*t + 160181131230 = 0.\nAnswer: -73071, 6\/85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 1316564?\nAnswer: 1316555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26, -50, -68, -74, -62, -26?\n\"Answer: k**3 - 3*k**2 - 22*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 709254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - p + 1. Let x(b) = -4*b + 8*b**2 + b + 2*b + 11*b - 10. Calculate -20*a(l) - 2*x(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -72*p - 4736. Let r(h) = 0*h - h**2 + 3 - 2*h + 5*h**2. Calculate the remainder when b(-67) is divided by r(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (744*w - 761*w + 12 - 13)*(-2 - 4 + 3).\nAnswer: 51*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 19*r - 17*r = 2, -16 = -4*s - r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3190*v + 899*v - 17 + 18)*(3*v**4 + v**4 - 2*v**4).\nAnswer: 8178*v**5 + 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10652 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133 - 133. Solve 4*c + 20 = f, 2*p + 4*c = -p - 26 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 9969*f**2 - 9969*f**2 - 5*f**4 - 4*f to the form c*f**4 + v*f**3 + p + z*f**2 + q*f and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-1 + 1 + d) + 854544*d - 427258*d - 427256*d + 74.\nAnswer: 32*d + 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (980\/(-24402))\/((-220)\/264)?\nAnswer: 4\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.251199 rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*h - 2*n, 4*h = -n + 6*n + 13. Put 2, 0, h, 7 in increasing order.\nAnswer: h, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 7:13 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-7) - -1 - (-1715872)\/301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-40)*(-550)\/7370.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 49, -399, -1175, -2279, -3711, -5471, -7559?\n\"Answer: -164*n**2 + 44*n + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - (-3*sqrt(85)*4 + sqrt(85)))*-3)\/(-2*sqrt(20)*-2))**2.\nAnswer: 1377\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 13*r**2 + 4*r + 6. Let h = 19 + -31. Let d be w(h). Calculate the highest common divisor of d and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4016 - 47*y**3 - 4016)*(-2*y + 2*y + y) in the form a*y**4 + i + s*y**3 + m*y**2 + f*y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:32 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 1. Let a(o) = -6*o - 22. Let s(x) = -a(x) + 5*z(x). Let m = 1 - 8. What are the prime factors of s(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19)*-2)**2 + 1 - ((sqrt(57) - 2*sqrt(57))\/sqrt(3))**2) + -3.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817274?\nAnswer: 2, 408637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 89*g**4\/4 - 32*g**3 + 106. What is the third derivative of f(r) wrt r?\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 115?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1650238?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 20 = -u. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*y = 18, 2*y + 23 = 3*m - 1. Calculate the greatest common divisor of m and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*z**4 - 11*z**3 - 1385*z**2 wrt z.\nAnswer: 96*z - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 322419*s + 1612122. What is g(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123 - -114) + (-1 - -3) + -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 8:51 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8902*z - 1548946. Determine r(-174).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 5, 12, -101, -2 in ascending order.\nAnswer: -101, -3, -2, 5, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 10:57 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (16 - 5\/(-5)). Let v = s - 20. Suppose -b - 2*b + q - 15 = v, 0 = b + q + 1. Are -5 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 - j + 9. Let d(a) = a**3 - 5*a**2 - 5*a - 6. Let q(r) = r + 2. Let w be q(4). Let f be d(w). What is the units digit of z(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29843 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123088 + 255776 = 16*w. Suppose -6*s + w = 3*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1383.4 + 1383. Which is the closest to 2\/25? (a) 2 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2469675)\/38675 - (-2)\/(-14)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 9:13 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8612 - 3866. Suppose 3990 = 21*x - w. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 + 367*l + 527. Determine t(-121).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -85 - -284?\nAnswer: 1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/9 - -1. What is the closest to 2 in 5, -0.5, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 62\/5*d**3 - 2\/5*d**4 - 62\/5*d - 204\/5 + 206\/5*d**2 = 0?\nAnswer: -3, -1, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*n - 4*w, -5*n = -w + 3*w - 74. Let b be -2*(-12)\/n - 2. Let t = 2.4 - 1.4. What is the closest to -0.2 in b, 1\/5, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -153*b + 170*b + 85. Sort -37, -1\/2, b in descending order.\nAnswer: -1\/2, b, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzq when three letters picked without replacement from wczqhwz.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -4107369741428 and 216.\nAnswer: -4107369741212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136715 divided by 9.\nAnswer: -136715\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38749*d**3 - 25617 wrt d.\nAnswer: -116247*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71473\/21 + 3405. Let v = -5\/3 + c. Let f be (-60)\/(-20)*3\/(-9). Are v and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, r: 8, t: 5}. What is prob of sequence ss?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 208 and 518?\nAnswer: 107744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 5*b + 20 = 0. Suppose -3*t + 3 + 12 = 0. Solve b*f - t = 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -435 + 257. Let g = -95 - l. Let u = g + -82.999957. What is u rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 4*k**2 - 16*k - 21. Let z be a(-6). Let n be (-99)\/77 + (z - 0). Solve -27\/7*l**2 + 57\/7*l**3 - 48\/7*l + 30\/7*l**4 - n = 0 for l.\nAnswer: -2, -1\/2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2687264 - -1650664. Round i to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-6 - (12 + -5)) + 0 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 0 = 5*f. Let z be (12\/20)\/(1\/f). Solve 0*h + 3*h - z = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000761313372 rounded to five dps?\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/115, -52\/3, 6?\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22 (b) -0.5 (c) -2\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -579.8 * 13.4.\nAnswer: -7769.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**6\/24 - 13*t**5\/6 - 1105*t**4\/24 - 275*t**3 - 1271*t**2 + 2*t + 1. Factor n(s).\nAnswer: 5*(s - 33)*(s + 2)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.717 and 2.8.\nAnswer: 2.0076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.006899g in micrograms?\nAnswer: 1006899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + t = 17123, 76*d - 73*d - 10266 = 2*t. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 + a**4 - a**4)*(0 - 1 + 0) + (4*a**2 - 5*a**2 + 7*a**2)*(3*a**2 + 0*a + 0*a) + 13 - 13 - 8*a**4 + 3*a**4 - 3*a**3 + 3*a**3.\nAnswer: 15*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*w - l - 966, 5*w + l - 2403 = 0. Is 32 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 288*f = -293*f - 12, 24*j - 23*f + 435 = -23*j - 19*f for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 3*r - 93 = 0. Let q = r + 70. Suppose c = -3*l + 35, -4*l = 3*c + 2*c - 32. Calculate the greatest common factor of q and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -59*g - 3074. What is a(-52)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/10)\/((-2)\/(-4)). Suppose m = -t*s - 13, -3*s + 3*m - 21 = -2*s. What is the units digit of (-2)\/s*(35 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 540 - 517. Let r(u) = -28*u + x*u + u. Let v(m) be the first derivative of -m**2 + 2. Determine r(v(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -72 (c) -3.6 (d) -4\/3 (e) 4\/5 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 7. Suppose 3*w + 22 = 5*g, -7*w + 3*w + 24 = 4*g. Suppose -6 - 2 = 2*r, 5*r = g*l - 5. Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 326.3 * -132.\nAnswer: -43071.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2896 - -2904. Solve i + i - 3*c = -6, 0 = -i - 4*c + f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43+41\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 865298 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -33*p**2 - 455*p - 90. Let o be j(50). Round o to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from dzdzdddddzddzdzddz.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-284)\/18 + 9180\/(-41310).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4502, 4489, 4468, 4439, 4402?\nAnswer: 4357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11342980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25602*d + 25583*d - 76. Which is the closest to 0.1? (a) d (b) 333 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 119 + 6*f - 134 + 70*f + 41*f. Let a be y(1). Calculate the highest common factor of a and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 995*c + 2*n - 7 = 997*c + 81, c + 52 = -3*n + 200 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.311 + -0.142. Let s = -0.049 + r. Sort 2, s, 1\/3, -2\/13 in descending order.\nAnswer: 2, 1\/3, s, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/15588 and 37\/1089378?\nAnswer: 943401348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (3*(sqrt(65) + -2*sqrt(65) + sqrt(65) - sqrt(65)) + sqrt(65)))\/sqrt(5).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 218587 or -0.21?\nAnswer: 218587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(x - x**3 + 2*x**3 - 3*x) + x**3 - 4*x**3 - 3*x**3.\nAnswer: -7*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -2*q**5\/25 - 2*q**4\/5 - 4*q**3\/5 - 4*q**2\/5 - 2*q\/5 + 135. Solve b(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 616445*i**3 + 2 + 616497*i**3.\nAnswer: 52*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(128) - (sqrt(128) + -1 - sqrt(128))) + sqrt(128))*6)**2*2.\nAnswer: -110808 - 6912*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**5\/60 + y**4\/6 + y**3 + 3. Let j(t) be the third derivative of g(t). What is the tens digit of j(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 3*j + 10*j)*(15*j - 3*j + 14*j)*(0 - 4 + 5).\nAnswer: 130*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5606 + -5609. Let w(z) = -2*z - 2. Let a(k) = 4*k + 3. Give u*a(s) - 5*w(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -2) + (5 - -2 - (0 - 0)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 831\/22 - 71\/2. Which is greater: 3 or q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 5*d**4\/24 - 12*d**3 - 54*d**2 - 2. Give g(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-261)\/3654*((-28)\/(-147))\/(1\/(-3))\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1695*b - 1692*b - 8 = -2*g, 3*g = 3*b - 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2195 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 25. Let l be 7 + -8 - (i - 0). Let u = -1 + 5. Solve 4*g - 5*q + 0 = 30, -u*q - l = -4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 2 - (15 + -19). Solve -y*s + 15 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 244 - 241. Solve 20 - 20 = -k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 7:54 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.11 + 0.11. Suppose -23*t + 52 = -10*t. Suppose -i - 7 = t*u + 6, -5*i - 25 = 0. Which is the biggest value? (a) 4 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 120*x**2 + 4 + 4 + 1 + 0.\nAnswer: 120*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(12) - -1*sqrt(1452) - sqrt(12)).\nAnswer: sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*b**2 - 89 + 159 - 68.\nAnswer: -29*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f + 46*f - 10*f - 104 = 0. Let y = 98\/15 + -26\/5. Factor -4\/3*w**f + y*w + 8\/3.\nAnswer: -4*(w - 2)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 2*c**2 - c - 1. Calculate j(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 20\/25)\/((-2)\/(-5)). Suppose -5*o + i*d = -2*d - 1573, -2*o - 4*d + 646 = 0. List the prime factors of o.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1333 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33018 + 135115. Suppose -19*b = 4*b - l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-66) - (-6 + (-3857)\/77))\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uau when three letters picked without replacement from auaggakgguaka?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 23477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**8\/280 + d**5\/24 + d**3\/3 + 6*d**2. Let c(g) be the first derivative of s(g). Find the second derivative of c(a) wrt a.\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, v: 5, w: 2}. What is prob of picking 1 v, 1 w, and 1 p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -7*c**4\/24 + c**3\/6 + 2*c**2 - 4*c. Let b(n) be the first derivative of t(n). What is b(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 23. Let u be (d + -5)\/(3\/94200). What is u rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 5. Let l(k) = k**3 - 9*k**2 + 7*k + 11. Let d be l(8). Suppose 5*a - d*h = -22, -26 = 5*a - 3*h - h. Put g, -1, a in decreasing order.\nAnswer: -1, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5921*k**2 - 162*k**3 + 5921*k**2.\nAnswer: -162*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1406 + 1411. Let o = 2 + 1. Solve -b - 3*b + d*s = -15, -4*b + 23 = o*s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101605 (base 9) to base 10\nAnswer: -60269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98751 or 98750?\nAnswer: 98750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 + -47. Solve -r*j + j - 5 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 9 = -3*f, 4*f = -3*n - 2*n - 14. Let o = 20 - 21. Put -12, o, n, -0.2 in descending order.\nAnswer: -0.2, o, n, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16574 + -8366. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 222243 (base 5) to base 15\nAnswer: 24b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/161 in -3, -293, -1\/10, 0.06, 0.2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Suppose -704*d + 682*d + 44 = 0. Solve k*o = -d*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7577887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -o + 4, -5*o = 7*n + 3*n - 45 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3274370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171 by -1.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eejbgbebqjeeqb. What is prob of picking 1 b and 2 j?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/(-35))\/(4\/(-40)). Let g = 856\/2947 - 2\/421. Let k = -3 + 3.02. Which is the closest to k? (a) l (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l**3*u*y - 1289*l**3*u - 156*l**3*y - 3*l**3 + 20*l**2*y + 9*l - 143*u*y + 2 with respect to u.\nAnswer: 4*l**3*y - 1289*l**3 - 143*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -6. Let r be (-1 - 3)*(-1 - m). Suppose 0 = 3*u + 15, -3*o + 47 - 6 = -r*u. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37404*u**4 + 2133*u**3 - 3*u**2 + 760148*u + 68 wrt u.\nAnswer: -448848*u**2 + 12798*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -27. Let i be ((-14)\/35)\/(r\/75). Is i smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*a + 5*y, 3*a = 3*y - 5*y - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 8*r**2 + 4*r + 13. Let g(s) = -s**2. Let x(l) = 3*g(l) + z(l). Let f be x(6). Is f greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:35 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 2:09 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 + 69*k - 527. Calculate the remainder when 719 is divided by v(20).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsnn when four letters picked without replacement from xxxsnxnssnnsnxx?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -64673 (base 13) in base 10?\nAnswer: -181262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 1952448.\nAnswer: 21476928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3166\/7? (a) 0 (b) 3 (c) 2\/11 (d) -3 (e) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -368 - -270. Let l = c + 102. Solve -6 = 2*a - a - z, -15 = a - l*z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*l**2 + 39 + 3\/4*l - 3\/4*l**3 = 0.\nAnswer: -52, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-3 - -6) + -1). Suppose f = 6*t + 3*t + 3*t. Solve -10*v + 8*v + 4 = t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/94 at most 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.35 - -0.15. Sort 1\/7, v, 0.4 in decreasing order.\nAnswer: v, 0.4, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 158450\nAnswer: -3\/158450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856917 is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(34)\/(1*sqrt(2)) + ((((-1*sqrt(85) - sqrt(85) - sqrt(85)) + sqrt(85) + sqrt(85) + sqrt(85))*-5)\/sqrt(5))**2.\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 5*i + 11. Let h(f) = -f**3 - 11*f**2 - 25*f + 56. Give 2*h(a) - 11*w(a).\nAnswer: -2*a**3 + 5*a - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8956 + 4476 - 37*l**2 + 4478 - 16*l**2.\nAnswer: -53*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 7*d**2 + 6*d + 3. Let o be v(6). Suppose -n = o*n - 36. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 4. Suppose s = j + 3. Let t be 3*(j - (-1)\/3). Solve -3 = -2*w + t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1243952*b*l**3 - 18*b*l**2 + 17*b*l - 154*b + l**2 wrt l.\nAnswer: 7463712*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 815903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 0*l**2 + 0*l + 5\/7*l**7 + 4 + 0*l**4 - 5\/3*l**3 + 0*l**5 + 0*l**6. Find the third derivative of y(w) wrt w.\nAnswer: 600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 14. Let z = -318533598 + 318533582.00000014. Let b = z - x. Round b to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*y - 446 + 256 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - a = 5*y - 17, 2*y = 5*a - 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101100111 (base 2) to base 4.\nAnswer: 311213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 8:02 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.2 (b) -0.5 (c) 2\/11 (d) 19356\/7 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)*s**4)\/(s**1*((s**(-1\/2)\/s)\/s)\/s*s))**31 assuming s is positive.\nAnswer: s**(279\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48426 - 28258. Does 91 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72460 divided by 20?\nAnswer: -3623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7565922101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 1. Let n(x) = -20*x + 20. Let l(o) = -36*c(o) + 2*n(o). Let g be l(-8). Let z = -8 + g. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/80 and 113\/360?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.03 + -1. Let l = i - 0.33. Let q = l + 0.2999975. What is q rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8, -24, -66, -146, -276?\n\"Answer: -2*o**3 - o**2 + o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*m + 183. Suppose -3*p - 64 = -5*l + 58, 0 = -4*l - p + 101. What is the remainder when m is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 112*n + 8613. Determine p(-76).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 2, j: 2}. Give prob of picking 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 134437 - -3?\nAnswer: 134440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaya. Give prob of picking 1 a and 1 y.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 9*n + 21. Let z(v) = 5*v + 10. Let t(m) = -4*i(m) + 9*z(m). Is t(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w + 14. Let p be i(0). Let z be 4\/p - (-15)\/21. Find the third derivative of 7*c**4 + 62*c**2 - z - 49*c**2 + 1 wrt c.\nAnswer: 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29671\/24705 + -5\/4941. Determine v, given that 118\/5*v**3 - 46\/5*v**4 + q*v**5 + 36\/5*v + 0 - 114\/5*v**2 = 0.\nAnswer: 0, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 3*q**2 - 2*q + 2. Let t be o(-2). Let f(a) = a**t + 392*a - 392*a. Let d(w) = 13*w. What is d(f(r))?\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1032 - -1021. Which is the second smallest value? (a) i (b) 3\/4 (c) -3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -44*l - 35. Let i be p(-8). Suppose 148 - 402 = -3*x + a, i = 4*x + 3*a. Suppose f - 48 = x. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15613669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*p + 4. Suppose -3*j - 5*d = 8, 0 = -d + 3*d + p. Let u be 1*(-2)\/(-4)*-2. Put -5, j, u in descending order.\nAnswer: j, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 140*b**2 - 27329265*b + 976045.\nAnswer: 5*(b - 195209)*(28*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/(((-3)\/54)\/1). Does 8 divide (r + 8)\/(2\/(-144))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.16 (b) -6 (c) -4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*h + 3. Suppose 4*c - h*c - 122 = -5*z, -4*z - 4*c + 112 = 0. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 12:25 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from mjjnnnxxn.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.62 - 0.02. Let g = -0.6 + d. What is the smallest value in 1\/4, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9592.97089 less than 59.1?\nAnswer: 9652.07089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 - (-13 - -4 - ((8 - 23) + 4)) - 9.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 8*n**2 + 282628*n + 141312 = 0.\nAnswer: -35328, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8755613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 11:46 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 645 and 13287?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than 162\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 13) to base 4\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1296 + 15148. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, k: 3, n: 2, b: 5}. What is prob of picking 1 k and 2 e?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-74)\/37)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -7. Suppose 153*b + 10*b = -62*b. Suppose -2*h - 2*j = -5 - 7, 3*j = -5*h + 20. What is the nearest to b in -6, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 259421.6 centuries in years?\nAnswer: 25942160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 1. Let n(o) = 7*o**3 + 15*o**2 + 4*o + 1. Let x(r) = c(r) - n(r). Factor x(k).\nAnswer: -k*(k + 2)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -2) + -5 + 3 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(-7) + -1 - -254. Calculate the highest common divisor of o and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w + 7. Let p be b(-3). Is 10\/13 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 554444771?\nAnswer: 554444775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8089*l*y**3 + l*y - 10*l + 2*y**2 + 3*y - 6294 wrt y.\nAnswer: -24267*l*y**2 + l + 4*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*375\/180)\/(1\/18*12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512.4928391 rounded to one decimal place?\nAnswer: 1512.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**4\/6 - 3*n**3 - 11*n**2\/2 - n. Suppose 22*y + 56 = 15*y. Let x be z(y). Solve -5*o = 4*s, -2*s = -x*s - o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21291*t + 2*t**3 + 21295*t + t**3 - 2*t**2 - 1 + 9*t**4 to the form r*t**4 + g*t + i*t**2 + d*t**3 + q and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39.895 + 40. Let i = -1595818.1050081 - -1595818. Let k = m + i. What is k rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 3*s + 5. What is the smallest common multiple of s and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + l. Let i be v(0). Let -8*s**4 + 4 + i*s**3 + 10*s - 2*s**5 - 8*s**3 - 5*s**2 + 9*s**2 = 0. What is s?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1046 divided by -6?\nAnswer: 523\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 10. Let j(r) = r**3 + 9*r**2 - 10*r - 10. Let a be j(-10). Let q be c(a). What is the remainder when 20 + 3 - q - (3 + -5) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 1, k: 5, c: 4}. What is prob of sequence ak?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40778010 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 9 - 4) + -3. Suppose a*i - 8 = 4. Suppose -h = -i*h + 1407. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3910 + -3728. Is w != 194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 1:16 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -321 + 9307\/29. Let x = -17\/174 + v. Let z(j) = -3*j - 72. Let g be z(-23). Which is the second biggest value? (a) 0.1 (b) g (c) 5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, v: 7, m: 4, t: 3}. What is prob of picking 1 m, 1 v, and 2 x?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2659568684 and 1?\nAnswer: 1.2659568684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -8, 213*s + 3*o = 215*s - 10084. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 26?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 10*y + 35. Let p be l(-10). Differentiate -p*z**4 + 184*z**4 + 8 + 31 with respect to z.\nAnswer: 196*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13112, -13113, -13114, -13115?\n\"Answer: -m - 13111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxdwxxxwwdhwxxwdhxx. Give prob of sequence ww.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (3\/4)\/((147\/10780)\/(1\/5)) and 1054.\nAnswer: 11594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510 = -5*o - 4*i - 478, -o - 4*i + 16 = 0. Solve 3*a - 7*n = -11*n + o, -a - 3*n = -8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1071.457*-1\nAnswer: -1071.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**3 - 5*h**2 - h + 2. Let o be w(-2). What is the common denominator of -149\/24 and (-1)\/o*(1370\/(-80) + 7)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 186?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228069 (base 12) to base 13.\nAnswer: 164958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2*l + 3 = -6, 4*l = -3*o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 84, 132, 180?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10345 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 31*c + 22. Let q be w(-15). Suppose -q*f = -2696 - 517. List the prime factors of f.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**3 + 10*k**3 + 0*k**3 - 19*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 448 divide 22146959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 4:24 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -28. Let a(t) be the second derivative of -t**3\/6 + 4*t**2 - t. Calculate the remainder when 27 is divided by a(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 y when three letters picked without replacement from {f: 1, q: 1, s: 1, w: 4, y: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2700\/630*(-14)\/4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11430 - -25433. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36, 115, 196, 279, 364?\n\"Answer: i**2 + 76*i - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38.6 - 24.9. Let m = l + -14. Which is the third smallest value? (a) -5 (b) m (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2. Let x(y) = -4746*y + 1498. Let c(n) = -313*n + 100. Let i(a) = 91*c(a) - 6*x(a). What is g(i(p))?\nAnswer: 196*p**2 - 6272*p + 50176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386946484.\nAnswer: 2, 307, 315103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1608\/7 or 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054840189 to the power of 1\/3, to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1472012 to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 720900 and 4752.\nAnswer: 31719600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**7*((j**(-1\/26)*j)\/j)\/j*(j*j**(-20)*j*j*j)\/((j*(j**(3\/14)\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(-751\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*(2*sqrt(832) + 1)*1)**2.\nAnswer: 640*sqrt(13) + 66580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 greater than 86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 + 12*c + 132. Calculate the remainder when 703 is divided by b(-5).\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 2330?\nAnswer: -2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 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: Is 1426 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + k**2 - k + 1. Let d(f) = 1868*f**3 + 3*f**2 + 2052*f + 3. Let j(w) = -3*a(w) + d(w). Find the second derivative of j(g) wrt g.\nAnswer: 11226*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*x + 90*x - 171*x = -816 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 2*h**2 - h)*(-h**2 + 2*h**2 + h**2) - 2*h**4 - 5*h**4 + 5*h**4 + 25*h**4 - 13*h**4 - 64*h**4.\nAnswer: -50*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybvvbvc. What is prob of sequence cvy?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 254\/19 or 14?\nAnswer: 254\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - 4*g + 5*g)*(-1 + 0 + 3) + (0 + 1 - 3)*(-2*g - 3*g + 4*g) to l*g + t and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-20))\/(1\/10). Find the second derivative of 4 - 2*h - a - 15*h**4 wrt h.\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 5*k**3 - 24*k**2.\nAnswer: k**2*(k - 3)*(k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(-36)*(-16)\/14 + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83152 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -28*d**5 - 2396*d**4 + 318084*d**3 - 2425060*d**2 + 5085400*d - 2976000 = 0.\nAnswer: -160, 1, 2, 5, 465\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bss when three letters picked without replacement from cccbcbbcsccscbb?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 4*m - 4*m)*(m + 9*m - 4*m) - m**2 + m**2 - m**2 + (19 - 19 - 10*m)*(-3*m - 4*m + 4*m).\nAnswer: 23*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-4))\/(4\/556). Let a = 23 + u. Suppose 0 = z + 5*z - a. Round z to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3702 and 185257.\nAnswer: 181555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 85. Suppose 46*f + n = 55*f. What is the greatest common factor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 230*h**2 - 2412*h + 570. What is q(219)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 162*a + 1479. What is the smallest common multiple of z(-9) and 807?\nAnswer: 5649","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8636 (base 10) in base 8?\nAnswer: 20674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -6 + (2 - (1 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -7. What is the smallest common multiple of s and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2784 is divided by 123.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p. Let i(v) = -582*v. Give u(i(a)).\nAnswer: -2328*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, 1\/6, 0.2, -0.1, -34\/7 in decreasing order.\nAnswer: 69, 0.2, 1\/6, -0.1, -34\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -110001000111001001101 (base 2) to base 5\nAnswer: -402444133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 32 = 5*l, 25 = 5*b + 3*l + 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q + 39. Calculate n(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 26 = -5*r + 14*q, -8 = -2*r + 2*q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z - 15 = 51 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccmxbbccmcimcb. Give prob of picking 1 c and 1 x.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*f - 5, -3*o - 3*f = 30. Let i be o\/(-90)*5\/3. Let r be 9 - ((-15)\/(-9))\/(4\/12). What is the third smallest value in 1\/4, i, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from {x: 2, v: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*y + 10*w, -44*y + 48*y + 4*w = 68 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2 - 4. Let y(z) = 5*z + 2. Let m(p) = -189*p - 72. Let x(a) = -m(a) - 36*y(a). Calculate n(x(g)).\nAnswer: -243*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 66*w**2 + 2*w + 1. Let f be (-2)\/11 + (-9)\/11. What are the prime factors of d(f)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**6\/40 - 44*l**5\/5 - 7565*l**4\/8 + 7921*l**3 + 2593*l**2. Factor x(b).\nAnswer: -3*(b - 2)*(b + 89)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17953 or -89767\/5?\nAnswer: -17953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 + 29. Let y be 4\/14 - 30\/z. Solve 0*u - y = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121333469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6117832 divided by -7147.\nAnswer: -856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 853.01 rounded to 0 dps?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 84 + 48 = u, 5*t + 61 = -8*u + 11 - 28 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15539, 31081, 46631, 62195, 77779, 93389, 109031, 124711?\nAnswer: 140435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, 0.3, 4, -0.1, -0.5 in increasing order.\nAnswer: -135, -0.5, -0.1, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10*q)\/q*q\/(q*q\/(((q\/(q\/q**22))\/q)\/q*q)) assuming q is positive.\nAnswer: q**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 57872*c + 57872*c.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23912.904 months in years?\nAnswer: 1992.742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (480\/(-70)*1\/2)\/(125\/((-244125)\/(-62))).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/9*p**5 - 52\/9*p + 56\/9*p**3 - 40\/9 + 32\/9*p**2 + 8\/9*p**4 = 0 for p.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.5. Let r be (2\/(-8) - 35\/(-60))\/(2\/(-12)). What is the third biggest value in 1\/3, v, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -3445?\nAnswer: -3448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 4*b - 2, -5*b = 126*a - 128*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*f - 16*f - 13*f - 10*f - 15*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -11*-4*62\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -8a1?\nAnswer: -89a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 10*m**2 + 11*m + 3. Let t be x(-11). Solve t*w - 8 = 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 97918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(14\/3)*y)\/y)\/(y*y**15\/y)*y*y\/y**(6\/7)*y**(-22) assuming y is positive.\nAnswer: y**(-613\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7644 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20876.5 and -148.5.\nAnswer: -21025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 12:28 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 62113.04 micrometers?\nAnswer: 62113040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-12) + 2\/6. Let k = -8 - -7. What is the third biggest value in i, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-15 + 8 + 2)) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4928 + 3*i - 1123 - 934 + 2948.\nAnswer: 3*i + 5819","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/4 - 11*z**2\/4 - z.\nAnswer: z*(z - 4)*(3*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7144*t = 6394*t + 1421490 for t.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(110)*-1)\/(sqrt(1440) + sqrt(1440)*2 + sqrt(1440)))**2.\nAnswer: 11\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 110 in -2, -1\/3, 0.057, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j + 2*j)*(-4*j - j + 0*j)*(-17*j - 14*j - 16*j)*(-2 + 2 + 3*j**2).\nAnswer: 705*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -26\/9 in increasing order.\nAnswer: -26\/9, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 5:42 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 8*r**2 - 14*r - 1. Let j be v(9). Let s = 53 + j. Suppose s*a - 1086 = -281. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 185032969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**6\/120 + x**5\/15 - x**4\/4 - x**3\/6 - 8*x**2. Let m be o(-5). List the prime factors of (13\/2)\/(m\/48).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03303 * -2047\nAnswer: 67.61241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*a + 8. Is 14 a factor of 16\/(a + -4) - -18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -41 - 0\/(-3 - -4). Let l = 57 - 11. Let z = l + c. Solve -5*s = -5*f - 5, 4*f + 12 = z*s + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146310649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(550) + (-5*sqrt(550) - sqrt(550) - sqrt(550))))\/(sqrt(44)\/sqrt(4)*-2*1) + 2)**2.\nAnswer: 120*sqrt(2) + 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.31 - -1.71. Which is the smallest value? (a) x (b) -3\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7 = 3*s, 4913*j - 4915*j = s + 21. Put -1, s, 193 in ascending order.\nAnswer: s, -1, 193","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8592.758l?\nAnswer: 8592758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73045909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -151, 2, -3, -11 in increasing order.\nAnswer: -151, -11, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/6 + (-13)\/(-39). Suppose -m - g*m = 90. Is 237\/(m\/(-6)*6\/20) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) + 195\/21. Suppose 4*s = -7 + 43. Solve w + w = j + p, 2*j = -5*w + s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2550 + 2547. Which is the nearest to k? (a) -2 (b) 0.3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 0)*(-3*g**3 + 2*g**3 - g**3)*(4*g - 2*g**2 - 4*g) + (2*g**4 - 4*g**4 + g**4)*(5*g - g - 3*g).\nAnswer: -33*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182*w**3 + 2*w**2 - 2*w**2 - 111*w - 181*w**3 - 24*w**5 wrt w.\nAnswer: -480*w**3 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 19. Let p(n) = n + 25. Let u be p(-14). Suppose u*g = j*g. Solve g = -2*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/85249 - -426241\/170498. Factor -37\/4*w**2 - 9 + 15*w + b*w**3 - 1\/4*w**4.\nAnswer: -(w - 3)**2*(w - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 4. Let u be k(3). Let a be u\/(-3)*(2 - -10). Factor -2*f**2 + 2*f**4 + 0*f**a - 4*f**5 + 3*f**5 + f.\nAnswer: -f*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/9 or -719?\nAnswer: -719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1910 is divided by 1116.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 1. Let h(r) = 72*r**2 + 11*r + 6. What is -h(s) + 5*u(s)?\nAnswer: -72*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t**2 - 4*t - 6. Let s be d(5). Suppose -h = -5*h + s. Let l = 33 - h. Solve 7*q = l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 3:55 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 2*i**2 + i**2 + 5*i**2. Let f(j) = j**2. Determine l(f(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43 - 40*d**3 - 43)*(3*d - 4*d - 17*d) to the form l*d**2 + w*d + g + v*d**4 + s*d**3 and give v.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.78571cm to micrometers.\nAnswer: 217857.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -263457, -263486, -263515, -263544, -263573?\n\"Answer: -29*o - 263428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-4641)\/208) - 6\/14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + ((0 + sqrt(11))**2 + -3 - (sqrt(11) + -1 + sqrt(1100))**2 - (sqrt(176)\/sqrt(4) + sqrt(44)*1)) + 2 + 0.\nAnswer: -1323 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2668 + -1467. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -597.28991 + -5?\nAnswer: -602.28991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 212154214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3130501 - -1432?\nAnswer: -3125025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21697, -21695, -21703, -21727, -21773, -21847, -21955, -22103?\nAnswer: -22297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (14 - 5 - 7 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 86*s**2 - s. Let f(g) = g**2. Calculate -c(o) + 6*f(o).\nAnswer: -80*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {n: 2, l: 6, z: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 3*i**2 + 10*i + 8. Suppose -15 = -n + 4*n. Calculate the lowest common multiple of l(n) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192491508869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 11*c. Let f(t) = -6*t. Give s(f(m)).\nAnswer: -66*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from eehhhhehhhh.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = t - 20, -t = 5*w - 59. Suppose 1249 = w*b + 347. Are b and 82 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8) + 210\/8. Let g = -103\/4 + v. Let c = 7 + -8. Which is greater: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 517 + -192. Is 45 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 10 - 9 - 20 - 5*n in the form y + p*n and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29800282 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -182.5 - -183. Let o = 34 - 27. Let d = 15 - o. Sort -0.4, d, 0.3, y in decreasing order.\nAnswer: d, y, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 6) to base 12\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {h: 7, d: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-495)\/99*(-3)\/5. Let w(c) be the third derivative of 1\/15*c**5 + 0 + 4\/3*c**b - 10*c**2 + 0*c + 1\/2*c**4. Let w(m) = 0. Calculate m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 1:10 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3 - 512*g**2*k**2 - g**2*k - 43*g - 165*k**2 wrt g?\nAnswer: 6*g - 1024*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*t - 10 = -3*t, 0 = -5*u - 4*t + 8. Let x(c) = c**2 - c + 48. Give x(u).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10524 - 5005?\nAnswer: -15532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.524938 rounded to 2 dps?\nAnswer: -4.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 113 + 0 + -2 + 0. Let r = 16 + g. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71615 is divided by 71586?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26874877.23 from -5.586.\nAnswer: -26874882.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 23, 58, 105, 164, 235?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooqoooooqqoo?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 16\/6)\/((-1614)\/4842)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 51*k + 2208. Let g be l(-79). Sort g, -1, 0, 11, 3.\nAnswer: g, -1, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3\/2, -2\/17, 5, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j + 294 = 0. Suppose 0 = -3*g + 12 + 138. What is the remainder when j is divided by g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u = 23*u - 39*u - 1764. Calculate the highest common divisor of u and 1197.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 - 29*h - 13. Let s be u(-16). Let v = s - -61. Let d(a) = a**3 + a**2 - a. Let z be d(v). Solve z = 3*i + b + 4, 4*i + 3*b - 3 = -0*b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 483726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12534433*n**3 - 2564735.\nAnswer: 37603299*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130 by -5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 10\/9, -2\/27, -1\/4?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-8))\/((-6)\/(-408)) + -3. Let j(w) = 18*w - 9. Let o(c) = 8*c - 4. Let x(t) = z*o(t) - 6*j(t). Calculate x(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 5*d - 2. Let j be z(4). Suppose -f + j + 10 = 0. Let i = -1 - -7. Solve -i*c - f = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, 13, 194, 491, 904?\nAnswer: 1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + sqrt(17) - (sqrt(17) + (sqrt(51)*1)\/sqrt(3))**2.\nAnswer: -65 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 6:35 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 726849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103313, -103305, -103299, -103295?\nAnswer: -103293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 2. Let o = 0.244 - 0.244. Which is the nearest to t? (a) 4 (b) 1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1445 - -1443. Let a(n) = 10*n**2 + 2*n - 1. Calculate a(x).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1596 divided by -14\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1089 and 34?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 510238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151 + -31. Let t = -185.74 - y. Let h = t + 3.6957. What is h rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32\/9 + 349\/36. Find the common denominator of 40\/11 and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1594 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1069, 3, -57, -5 in descending order.\nAnswer: 3, -5, -57, -1069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*q + 2*x - 2, 4*x = 3*q - 17. Let l be (0*((-5)\/(-2) - 2))\/(-2). Does 10 divide (l + -9)\/q - -23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**3 + 11*k**3 - 8*k**2 - 6*k**2 + 9*k. Suppose 0*f - 2*f = -2. Let q(t) = t**3 + t**2 - t. Let j(p) = f*d(p) - q(p). Factor j(m).\nAnswer: 5*m*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/8 - 562989*q\/4 + 105652204707\/8.\nAnswer: 3*(q - 187663)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-253)\/23)\/((-60)\/(-66) - -13 - 14)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 2. Let g(n) = -n**2 + 6*n - 6. Let o be g(4). Give j(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (253200\/10339)\/(-25) + (-1)\/49\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.5? (a) 0.4 (b) 1.71 (c) -1.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 3*u + 1. Let g = 14 - 25. Let k = 76 + -67. Let q = g + k. What is f(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)*1*-5 - (-5*sqrt(32)\/sqrt(4) + sqrt(8)))\/(sqrt(16) - (sqrt(176)*2)\/sqrt(11)))**2*-5 + 2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + (-74 - (38 + -105)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 + ((-8052)\/(-175) - (-726 + 752))\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13 + 6*n**2 + 8 + 5 + n wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 11*t**5\/60 - 3*t**2. Let d(c) = c**2. Determine d(r(v)).\nAnswer: 121*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -314.\nAnswer: -1\/314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v - 4*i + 76 = 0, 2*i + 12 = v. Let n = 2990 - 2976. What is the second derivative of -3*g + n*g + v*g**4 + 0*g - 8*g**4 wrt g?\nAnswer: 144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -11.\nAnswer: 17\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**2 - 37*y. What is w(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide -889*2\/((-2)\/13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56136744 and 72.\nAnswer: 56136744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34294419 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -202 + 303020?\nAnswer: 302515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/52 in 2, 2\/19, 3, -2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4955\/312 > -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20000 (base 3) to base 7\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -25.765344 from 2486950.\nAnswer: 2486975.765344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 6) to base 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/103)*w**17 assuming w is positive.\nAnswer: w**(1753\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 0.1833.\nAnswer: 0.4833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33292 is divided by 476.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 22766.\nAnswer: 22766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196849051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 12. Let b be k(7). Suppose 3*c - u - 10 = 15, -5*u + 15 = b*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 323 + -193. Let k be 52\/h - (6\/(-10) + 1). Solve 5*u - 3*o + 2 = -2*o, k = 4*o + 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*i = 31*i + 8649. Let c(h) = h**2 + h + 31. Let r be c(0). Calculate the greatest common divisor of r and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0217744224 to four decimal places.\nAnswer: 0.0218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 15) to base 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from phppppphppph?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17811 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 730 and 1460292.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*j - 79*j - 280. Let u be (-2)\/8 + (-1)\/2. Let r = 0 - u. Sort r, 3, j.\nAnswer: j, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2. Let p(d) = -343974958*d**2. Determine i(p(w)).\nAnswer: -354956315193305292*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -39*t**2 + 1208*t + 30. Calculate j(31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32365549 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((12\/13)\/(-3))\/2. Let o = 1.5 - 1.5. What is the nearest to o in 0.3, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-267.\nAnswer: -133.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 449*y**3 + 6*y + 31.\nAnswer: 2694*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/y**7)\/((y\/(y\/((y**(-3)\/y)\/y)*y))\/(y**(-4\/11)*y)))\/((y**(1\/5)*y\/y**(-2\/11)*y)\/(y**(-5)\/y**(2\/15))) assuming y is positive.\nAnswer: y**(-293\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, y: 1, m: 5, u: 1, p: 1}. What is prob of sequence wuym?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 35560?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**3\/3 - 50*r**2\/3 + 35*r = 0?\nAnswer: 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.65562?\nAnswer: -0.262248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 25 + 35 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, -4\/161, 2, -5, -3?\nAnswer: -4\/161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -w - 9*q + 7*q, 0 = -5*w - 2*q + 35. Suppose 5*r = 4*r. Solve -4*o + 5*h = -5, r = 3*o - 5*o - w*h - 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2034 and 1084986.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13217164755*p + 601*p**2 - 13217164755*p.\nAnswer: 601*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v - 39*v + 21*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4220\/(-633)*6\/(-8)*7?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.36647g in kilograms?\nAnswer: 0.05336647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -3*v + 3*o, 0 = -2*v - 4*o - 15 + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*q + f, 4*q - 5*f + 13 - 53 = 0. Suppose 3*w = -q*l - 41, -4*l - 5 = w + 25. Let d(g) = 2*g**2 + 12*g + 14. Is d(l) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k = -6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -3, 36, 0.3, -0.5, 24?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(43*i - 24*i**3 - 43*i)*(-2 + 2 + i**2).\nAnswer: -48*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**4\/24 - 5*i**3\/6 + 9*i**2. What is q(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -266330 and -266347 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen quarters of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -325.07 - -327. Let b = -0.07 - h. Let p be (-1 + 0)\/((-3)\/(-2)). What is the biggest value in p, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -17. Suppose -p - o*v + 2070 = 4*p, 384 = p - 5*v. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 5*w = -s - 13, 0 = -5*w + 2*s + 20. Sort 1, w, -7 in descending order.\nAnswer: w, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11786?\nAnswer: 2, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*o - 100*o + 100 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83.9 + -92. Let r = -6.1 - b. Is r at least -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1064 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w**3 - w**2 + 8*w - 3. Let i be a(9). Suppose -l = -3*r - i, 0*l = l + 5*r - 5115. Round l to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/79969909 equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0632449129 and -0.2468146.\nAnswer: -0.1835696871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -675*m**5\/4 + 251415*m**4\/4 - 5380302*m**3 - 89739300*m**2 - 5846400*m + 2906496000 = 0?\nAnswer: -48\/5, 5, 580\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3415000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 9898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331 = -99*u - 461 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 824*s - 920 + 1744 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*h + 1040 = -1209 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2010800 = -54*y + 19*y + 31*y. What is y rounded to the nearest ten thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 423276.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 11*m**3\/6 - 9*m**2\/2 - 7*m + 10. Give p(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n**2. Let t(h) = -66*h**2. Calculate t(x(f)).\nAnswer: -3234*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 7*y - 4 + 2 + 6. Let i be u(-8). Let g be ((-2)\/12)\/(2\/(-3)). What is the second biggest value in g, i, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 18. Let n = j - 4. Solve -2*i - n*g - 14 = -2*g, 4*i - g - 8 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-30)\/14)\/(-3))\/((72\/(-30 + 24))\/14)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14a0 - -3?\nAnswer: -1498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485921787.\nAnswer: 3, 13, 557, 22369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8553 + 2?\nAnswer: -8551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 721*l**2 - 93732*l + 243. Give i(130).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -607920 by -510.\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(6) + -1*sqrt(24) + sqrt(24)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*11\/748 - (-10)\/24.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = -5*v - 946. Let g = v + -22. Is (g\/(-1) + 0)\/((-90)\/45) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/50)\/((-3)\/15)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -1, 3\/4, 861, -2, 2\/17, -10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 - -176 - (0 + 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 368130940?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h - 6. Let i be a(1). Suppose -d + 84 = i*w + 6, -4*d + 8 = 0. What is the remainder when w is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70*w**5 + 245*w**2 + 14*w - 6*w**2 - 550*w**5 - 14*w wrt w.\nAnswer: -28800*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - b = -15, -9*l + 49 - 16 = 2*b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 93777 - -1.067393?\nAnswer: 93778.067393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*q - 28 = -3*l, 2*q + 21 = 5*l. Let p = l - 8. Let j(c) be the third derivative of -c**5\/30 - c**4\/6 + 2*c**2. Determine j(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 x when four letters picked without replacement from {x: 6, y: 7}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 16. Let k be -1 - (0\/(-1) + -1). Suppose -5*b - d + 60 = d, k = 5*b - a*d - 25. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 10 + -4 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z - 14996 = 30*z. Let a = -2578 - z. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - 3*v**2 + 4*v**2)*(1 - 7 + 4 - 8*v) + (5 - 2 + 3)*(-v**3 + 0*v**2 + 0*v**2).\nAnswer: 10*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2714 divide 256578846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320 minus 0.1350985?\nAnswer: -1320.1350985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7170 - 4877. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*g = 44*g - 1, -3*m + 4*g + 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*g**2 - 2)*(-1 + g + 1) + (g**2 - g**2 + 7*g**2)*(-g - 8*g + 6*g).\nAnswer: -19*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-12)\/(-28))*368\/3864.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/22 and 97\/52278?\nAnswer: 575058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6004 and 65728.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1133043442 (base 5) to base 4\nAnswer: 22001212131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 - -75. Let h(g) = -2*g + 17. Let l be h(z). Factor 0 + 0*y + 2\/7*y**2 - 4\/7*y**l + 2\/7*y**4.\nAnswer: 2*y**2*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o - 93*o**2 + 140*o**2 - 141 + 99*o**2 - 61 + 73 wrt o.\nAnswer: 292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-52)\/(-3) - 2\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 - 51 + 48)*(g**4 - g**4 + 2*g**4).\nAnswer: 160*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 1871808*x**2 + 219072634704*x + 21888549390400.\nAnswer: 4*(x + 100)*(x + 233926)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -5, -161, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11682699224922 - -0.9?\nAnswer: 11682699224922.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-5) + 2901\/15. What is the common denominator of -139\/18 and -2 - r\/24*2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 742 - 741. What is the third biggest value in v, 0.09, -1\/5, 5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6. Let k(n) = -1. Let s(v) = -4*d(v) + 21*k(v). Let r(f) = f. Let b(i) = 4*r(i) - s(i). Give b(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*g + 4*n - 2*n, -5*n + 20 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (-1 + sqrt(1539))*4 - (sqrt(1539)*-2*-1 + -5))*5)**2.\nAnswer: 900*sqrt(19) + 153925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, x: 2, q: 1, p: 2}. Give prob of picking 2 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-1*4)\/(sqrt(10)\/sqrt(2)*-3).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001116 to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*h = -62*h - 4*r - 102, 5*h + r = 332. Solve -h*v + 25 = -60*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -54\/17, 123?\nAnswer: -54\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j + 10 = 5*t + 34*j - 13 - 27 - 16, -t + j - 3 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.9 (b) 2 (c) 2\/3 (d) 5 (e) 3 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 1349?\nAnswer: -1339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.2438 - -0.0362. Let m = 5.28 - h. Is m > -26\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**4\/12 - 410*x**2. Let j(s) = 66*s - 4. Determine n(j(l)).\nAnswer: -132*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**2 + 5*r + 3. Let w be u(-2). Suppose 3390 = w*y - 4549. Calculate the remainder when y is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266 (base 15) to base 13.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + -5 + 6 + 49. Suppose -k = p - 39, -13*k + 3*p = -14*k + h. Calculate the smallest common multiple of k and 180.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 9*z - 73. Give l(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -49376b (base 14) to base 13\nAnswer: -699ca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -211, -307, -407, -511, -619?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k = 10*k - 13*k + 192. Solve s = 2*m - 5*m + 14, -4*s - m = -k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i)\/i*i*i\/(i*i**(-1\/4)) assuming i is positive.\nAnswer: i**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12139\/9 - 1349. Which is the closest to -0.12? (a) 1\/4 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*y + 1383 - 6336 = 2127 for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1440 (base 7) to base 5.\nAnswer: 4232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3\/3 - 114848*m**2\/3 - 114770*m + 4134312 = 0.\nAnswer: -57421, -12, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 987*g**2. Let m(r) = -5548*r. Determine u(m(w)).\nAnswer: 30380160048*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 7) in base 16?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = m + 11, -2*m + 0*u + u - 2 = 0. Let d(o) = 84*o - 42*o - m - 46*o. What is the remainder when 7 is divided by d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4162*b - 9. Let f = -46 + 47. Is j(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**5\/45 - 5*q**4\/12 + 50*q**3\/9 - 534*q**2. Let g(v) = 0. What is v?\nAnswer: -10, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -21. Let l be 10\/(-1)*w\/(-10). Solve l*t = -11 - 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 2 + 1 + 0*q)*(8 - 6 + 6).\nAnswer: 16*q + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1 = -14. Suppose 2*x + 2 = z*x. Suppose 0 = x*j - 7*j + 2*n + 15, -5*j = -5*n. Solve -2*a + 2*o + 2 = -0*o, -3*a + j = -4*o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 314, 0.1, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1036, -8, 0.5, -2\/15 in ascending order.\nAnswer: -1036, -8, -2\/15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 4*j**2 - 2*j - 4. Let r be n(-4). Suppose 80 = r*f + 4. Let o = 19 - f. Solve 5*m + 0*m - p + 18 = o, -3*m - 3*p = 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 43. Sort j, -5, -1 in decreasing order.\nAnswer: -1, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-45) - 4\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11012 (base 3) to base 11.\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*((sqrt(130) - (sqrt(130) + (sqrt(130) - (sqrt(130) - -4*sqrt(130))) - sqrt(130))*-6 - sqrt(130)) + sqrt(130))\/sqrt(10).\nAnswer: 184*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (0 - 2 - (-7 - -9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -2*v**3 - 2797. Let o(m) = 44*m - 1. Give o(q(b)).\nAnswer: -264*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 78 = 6*i. Calculate the remainder when 3\/(-6)*1 + (-615)\/(-6) is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 16*l + 65. Let f be z(-10). Let q(s) = -7*s - 2. Let g(w) = -10*w - 3. Let t(k) = -5*g(k) + 7*q(k). Determine t(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 103*r + 13900. Let i be y(-135). Let u(l) = 6*l + 2 - 28*l + 13*l. Let o(a) be the first derivative of -7*a**2 + 3*a - 1. What is i*o(x) + 8*u(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22020011010 (base 3) to base 4.\nAnswer: -213202131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1238 = -33*d + 31*d, -1238 = -2*l - 5*d. Is l a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*y + 40 = 138 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 173, 391, 697, 1091, 1573?\nAnswer: 2143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/13, -0.1, 4\/5, 12, 4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3 - 30*j**2\/11 + 36*j\/11 + 16\/11 = 0. Calculate j.\nAnswer: -2, -4\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9146862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7971.\nAnswer: 3, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -459178*h*r + 449548*h wrt r?\nAnswer: -459178*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 459*s + 3. Let v be m(1). Let x = 6926\/15 - v. What is the common denominator of x and (-22)\/6*-3*(-7)\/189?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4*p - 4)*(2*p + p + 2*p + p + 1 - 1 + (-4 + 4 - 1)*(-2*p + 3*p - 3*p) - p + 2*p + p).\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557*f - 6242 - 934 = -869*f for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*2*1)\/(-5*sqrt(63))*3)**2.\nAnswer: 44\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540864*v + 1081639*v - 540896*v.\nAnswer: -121*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l + 14. Let n(z) = -8*z - 15. Let k(d) = -6*n(d) - 7*v(d). Give k(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, s: 3, w: 1, a: 1}. Give prob of picking 3 i and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -377530 rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 290 + -287.66. Let y = 2.3400117 - m. What is y rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10424*u**2 + 14128 wrt u.\nAnswer: -20848*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -11481, -5.\nAnswer: -11481, -21, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -40110, -80218, -120324, -160428?\n\"Answer: c**2 - 40111*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5 = 5. Suppose -3*l + 14 = -j, -r*l + 7 = -j - 4. Suppose -59 = -3*x + 8*n - 3*n, 0 = l*x - 2*n - 47. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99437 <= 99448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -27897 <= 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-6)*(-2)\/(-23). Let i = v + -757\/138. What is the common denominator of i and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/((-168)\/(-16)))\/(1*-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765965.\nAnswer: 5, 307, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183121 - 101724. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2 + 524*h + 3961. Determine s(-79).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 75463455, 150926914, 226390375, 301853838?\n\"Answer: q**2 + 75463456*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -215 (b) -4.11 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and 1.7631.\nAnswer: -0.193941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10490449\/155 - 67680. Find the common denominator of p and 21\/5.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 0 + 0*n**3 - 1\/12*n**4 + 3*n + n**2. Differentiate p(c) wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126.96936112229 + 0.03063974771. Let h = p + -127. Round h to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -7. Let k be (-1 - f)*(-31014)\/12. Let v = 3169 + k. What is v rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-492)\/(-8))\/((-6)\/(-8)). Let w be 1\/((-1)\/f*-2). Factor -5 + 12*p**4 + 8*p**2 - 2 - 27*p + 1 - w*p**2.\nAnswer: 3*(p - 2)*(p + 1)*(2*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -7*f - 2*t - 488, -5*f + t = -610. Suppose 4*v - 2*g = 2130, -2*v - 4*g - f = -1212. What are the prime factors of v?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 16, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1118 divided by -559.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8309018?\nAnswer: 2, 4154509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (65\/130)\/(((-44)\/(-18))\/(32\/12))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 229945324 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 60, 0.4, -4\/5, 11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -29169973 to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-213)\/(-42) - (52\/(-2184))\/((-3)\/9). What is x in -4*x**2 - l - 19\/2*x + 1\/2*x**3 = 0?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*p - 361*p + 1444*p - 356*p + 31*p**2 - 358*p.\nAnswer: 31*p**2 + 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 102 (c) 1\/8 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1093, -2183, -3273?\n\"Answer: -1090*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 60. Let w(u) be the second derivative of -u**3\/6 + 33*u. Determine a(w(x)).\nAnswer: x**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/7, -0.5, -0.31, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v**3 - 2*v**2 + 25*v + 28. Calculate w(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*k + 172 + 177 - 358 as b*k + m and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45406 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2305*q**2 - 17*q + 12?\nAnswer: 4610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.443 + -6.243. Which is the third smallest value? (a) x (b) -0.2 (c) -7 (d) 3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(4*sqrt(605)))\/(((sqrt(96)\/sqrt(4))\/sqrt(2))\/sqrt(4)*5).\nAnswer: sqrt(2)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -4*y + i, y - 2*i + 3*i - 63 = 0. Let b = 138 - y. Let z = b + -45. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7378*y - 5457*y + 16075*y.\nAnswer: 3240*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 23*k**2 - 5*k - 337. Let c be w(23). Which is smaller: c or -453?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**3\/3 - 33. Let x(d) = -d - 3*d**2 + d. Determine x(f(i)).\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33691 and 28878?\nAnswer: 202146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40.9 + 38. Let n be (1\/(-13) + (-494)\/169)\/(63\/12). Which is the third smallest value? (a) y (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85)\/51*69\/(-21045))\/((2\/3)\/1)?\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6) - 38\/(-6). Suppose -5*m + w = -4*w - 15, -5*m - 3*w = -y. Find the third derivative of j**2 - 3*j**2 - 6*j**4 + j**2 + m*j**2 wrt j.\nAnswer: -144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/16*(-88)\/(-33). Differentiate -4*p**2 + 77 - 170 - 11*p**g wrt p.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 731 = -3*i - 367, -1100 = -o + 2*i. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1300 + -874. What is the remainder when z is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 37*f - 38*f. Let x be ((-1)\/(-2))\/((-1)\/(-12)). Find the third derivative of -2*q**5 - 2*q**2 + 6*q**2 + 2*q**5 - f*q**x wrt q.\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) 3\/2 (b) -3 (c) -6881\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-812)\/(-522)*(-8)\/((-320)\/18)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*sqrt(19) - sqrt(19)))**2 + sqrt(19) + (sqrt(133)\/(sqrt(7)*5) + sqrt(19) + sqrt(19))**2 + 6*(4 + sqrt(171) + 0)**2.\nAnswer: 149*sqrt(19) + 30924\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 4:44 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 716340968?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -1a?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 2, 17, 32, 47, 62?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2089 + 3*a - 2236 + 3537 as n*a + o and give o.\nAnswer: -788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(1300) - -2*sqrt(1300) - sqrt(1300)) + -4)**2 - (sqrt(1300) - 1*(sqrt(1300)*2)**2)) + -1.\nAnswer: -20833 + 340*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.53572 millilitres to litres.\nAnswer: 0.01153572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -31670713.\nAnswer: -2\/31670713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1591.3 and 0.3.\nAnswer: -477.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.41 + -1.59. What is the second biggest value in -3, -3\/5, t, 1\/6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/58187 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**2 - 2*j + 1. Let m be q(1). Suppose 5 = -8*h + 3*h. What is the second biggest value in 4, m, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(10 - 12)*(-4)\/(-24)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 + 431408*d**4 + 11631622456*d**3 - 23267990560*d**2 - 81429122876*d - 46529941264 = 0. What is d?\nAnswer: -53927, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783190353?\nAnswer: 3, 11, 23733041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 77233384747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Suppose -3*i + 3 = 5*r, 5 = g*r + 4*i + 1. Solve r = 4*k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1415, 1416, 1417?\nAnswer: 1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21330112 (base 4) in base 7?\nAnswer: 226510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -928544, -1857098, -2785648, -3714188, -4642712, -5571214, -6499688?\n\"Answer: b**3 - 4*b**2 - 928549*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - -48) + (-4 - (5 - 2)) - 11.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5007411 is divided by 4724.\nAnswer: 4695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(14\/(-4) - -2). Let c be 2\/6 - 88\/12. Let p be 57\/21 + (-2)\/c. Solve -j - 2*g - b = j, g = 5*j + p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 153*j**5 + 153*j**5 - 18*j**4 - 36*j + 84*j**2 + 23*j**3 - 311*j**5 = 0.\nAnswer: -3, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 8*l - 9. Let j(u) = -u**3 - 2*u**2 + 15*u - 17. Let c(p) = -3*j(p) + 5*w(p). Let i be c(2). What is the highest common factor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/8)\/f**2)\/((f**(-1\/3)\/f)\/f)**(-4\/15) assuming f is positive.\nAnswer: f**(-899\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 12\/53 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 10:08 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20827675, 20827680, 20827697, 20827732, 20827791, 20827880, 20828005, 20828172?\nAnswer: 20828387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**4\/4 + 2*i**3\/3 - 3*i**2\/2 + i - 1. Let n be w(-3). What is the derivative of n + 5*h**2 - 3 + 1 - 4*h**2 wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-27)\/45*4\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7027451?\nAnswer: 7027451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*i**3 + 3464*i**2 + 2484*i - 936.\nAnswer: 4*(i + 1)*(i + 78)*(11*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162325 is divided by 413?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 2*n**2 - 5*n**2)*((1 - 4 + 1)*(-174*n**3 - 344*n**3 - 256*n**3) + (0 - 3 + 1)*(-3*n + 3*n + n**3) + n**3 + 0*n**2 + 0*n**2).\nAnswer: -6188*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1219 + 137 = -g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283, 2114, 5499, 10444, 16955, 25038, 34699?\nAnswer: 45944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93715746.\nAnswer: 2, 3, 37, 139, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 53 = -4*n, -18*n - p - 57164 = 4*p - 57045 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4 - 5\/2. Let b(r) = r. Let z be b(-6). What are the prime factors of (-62)\/z - 2\/c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*z**4 + 3*z**3 - 18*z**4 - 32 + 39*z**4 + 29 + 222*z in the form r*z**2 + y*z + s + j*z**4 + u*z**3 and give y.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*b + 5 + 10 = 0, 3*j + 5*b = 24. Suppose 0*m - 2 = -5*g - 2*m, 4*g + m = 4. What is the highest common factor of g and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30 + 3 - 422*r**3 + 16 + r**2 - 10 wrt r?\nAnswer: -2532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**4\/8 + a**3 + 9*a**2\/4 + 2*a - 20. Suppose q(v) = 0. Calculate v.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 10:28 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14630 - 160948\/11. What is the common denominator of (14\/12)\/(1\/11) and k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 - 4?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 142504, 0, 3, 1\/5 in increasing order.\nAnswer: 0, 1\/5, 3, 142504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c*c**(2\/7)\/c))*c\/c**(-1\/8)*c)\/((c*c*((c*c\/(c\/(((c\/((c**(-2\/5)*c)\/c))\/c)\/c)))\/c)\/c)\/(c**(2\/11)*c)) assuming c is positive.\nAnswer: c**(12913\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86975?\nAnswer: 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/3527 and -95\/8?\nAnswer: 28216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 16, t: 2}. Give prob of sequence txt.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -21*z - 1042. Calculate the remainder when 662 is divided by i(-56).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - 2*j**2 - 6*j**2)*(-3 - 1 + 5)*(j + 3*j - 2*j).\nAnswer: -22*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -5*l + 5*c, -2*l - 3*c - 41 = 10 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 21 = -7*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-506)\/3795*(-1)\/(-2).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123033 + 369095 - 123029 - 123033 - 47*z.\nAnswer: -47*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22008*w = 25760*w - 318920 for w.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 124379b + -17?\nAnswer: 1243784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1700))*-4 + 0 + sqrt(1700) + 5)**2 + -2.\nAnswer: -60*sqrt(17) + 15299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 3 = -4*q - 3*c, 2*q + 4*c = -18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -11022d?\nAnswer: -11022d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 1:38 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*w = 2735 - 725 - 5752 - 7814 for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (14 + (1 - 1))) + 18 + -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/5)*z)**(-11)\/(z**(5\/2)*z\/((z*z\/(z\/(z*z**2))*z*z)\/z)) assuming z is positive.\nAnswer: z**(-183\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/368 and 69\/512.\nAnswer: 11776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**9\/420 + k**8\/280 + k**7\/630 + 5*k**4\/12 - 9*k**2. Let g(w) be the second derivative of q(w). Factor g(c).\nAnswer: 4*c**2*(3*c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/132048 and 113\/29344.\nAnswer: 264096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**3\/3 + 31*a**2\/2 - 32*a + 526. Let c(k) = 0. What is k?\nAnswer: -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 85420.95 meters in kilometers?\nAnswer: 85.42095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26635*k + 16727*k + 28695*k + 3322*k - 13820*k.\nAnswer: 61559*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-5 - (-4 - 6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 44\/20)\/(51\/1020).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 380.3 (c) -114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1551*j + 12540 = 1323*j for j.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6448 is divided by 2149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**2\/15 + 238984768*d\/15 - 7139214917001728\/15 = 0?\nAnswer: 59746192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 293588, 293589, 293590?\n\"Answer: i + 293587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9415964 - -0.1529.\nAnswer: -9415963.8471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256188 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 11:05 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8107 - -8112. Suppose -6 = 2*k - 2*i + 5*i, 4*i + 3 = -k. Let u be k + 11 - v\/1. Solve -2*c + u = -1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1658, 3299, 4944, 6593, 8246, 9903?\n\"Answer: 2*z**2 + 1635*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.84 - -0.06. Let k = -1.2 + z. What is the smallest value in 0.2, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*f + 77*f - 2930220 - 338472 = 0. Is 28 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 29, -3 in descending order.\nAnswer: 29, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5181.778 + -2.8?\nAnswer: 5178.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.3 (b) -14 (c) -7 (d) -1\/6 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**4\/12 + 19*k**3\/3 + 121*k**2. Determine h(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-20)*-7 + -8. Which is the nearest to 3? (a) 0.1 (b) k (c) -1\/2 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -47. Let p = -6285 - -13091657\/2083. Let b = p - -4092\/77071. Which is smaller: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 8 + (-19488)\/888?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 69*c**2 - 2526*c + 2457 = 0?\nAnswer: 1, 819\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 591250\/29 - 20390. Let u = a + 5369\/2581. Let n = u - 4719\/178. What is the common denominator of n and -59\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20866, -41275, -61232, -80737, -99790, -118391, -136540?\nAnswer: -154237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -30*f**2 + 1630*f - 20420. Let p(h) = -5*h**2 + 272*h - 3404. Let b(a) = -6*g(a) + 35*p(a). Factor b(y).\nAnswer: 5*(y - 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 6 + 14. Suppose 12*z - b*z = 8. Solve -6 - z = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*l + 6406 + 13994 = -86*l. Solve 668*b = l*b + 96 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*c - 5*c**3 - 316*c.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(252))\/sqrt(7))\/sqrt(12).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.112 - -0.088. Let u = 2068\/15 - 138. Let g be (-2)\/(-4) + (-9)\/(-2). What is the second smallest value in i, u, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2 - 68*k - 578 = 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - b + 14 = -4*d, 12 = -2*d + 2*b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -305529*t**4 + 2*t**2 + 49*t + 526 wrt t.\nAnswer: -7332696*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/2, -4, -2\/9, -2, -25313?\nAnswer: -25313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -9*c**3 - 5*c**2 - 13*c. Let d(u) be the first derivative of 5*u**4\/2 + 4*u**3\/3 + 7*u**2 - u + 3. Let m(r) = 6*d(r) + 7*x(r). Is m(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(630)\/sqrt(40))\/(1*sqrt(900) + sqrt(900)))**2 - (3 + ((sqrt(189) + sqrt(189)*1 + sqrt(189))\/sqrt(3))\/((sqrt(108)\/sqrt(3))\/sqrt(4))).\nAnswer: -3*sqrt(7) - 4793\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/54*(4\/46)\/(-1).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -30, -62, -110, -180, -278, -410, -582?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.2 + 3. Let w be (-2)\/(-5) + 12\/(-5). Let d be (-234)\/(-91) - 1*2. Which is the second biggest value? (a) d (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1 (b) 16 (c) 3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3897543 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 7)*(3 - 5 - 1 - 3*c) to d*c + k and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 2. Let l(b) = -b**2 + 2. What is 3*f(o) - 4*l(o)?\nAnswer: o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*(-72)\/(-27).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = 0, r = g + 2*g - 4. Suppose t = 2*q, 3*q - 7 = -t - g*q. Solve -t*m = 3*j + 15, 3*j + 4*m + 10 = -5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -5 (c) -48 (d) 3\/4 (e) 36055 (f) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-803 - 1966 + 4988)*((3*x**2 + 2*x**4 - 3*x**2)*(1 + 1 - 1) + (-4*x**2 + 5*x**2 - 3*x**2)*(-5*x**2 + 2*x**2 + x**2) - x**2 + x**2 + x**4).\nAnswer: 15533*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44536860 and 81650910?\nAnswer: 489905460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -20591223\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24157 (base 10) in base 13?\nAnswer: -acc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**2 + 8*i - 999 + 0*i**2 + 986 - 4*i**2 + i**2. Determine a(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 12*x**2 + 15*x - 49. Let l be i(-10). Let t = -0.1 - -0.13. Let r = t - -0.07. Which is the closest to r? (a) -0.1 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s - 17*s - 14*s. Let v(o) = -o - 5. Let r(x) = -x - 6. Let m(a) = -5*r(a) + 6*v(a). Give m(u(i)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m + 15. Calculate the remainder when r(12) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3297?\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 4 (c) 29 (d) -5 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -1*1)\/(4389\/418)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - d - 3*d)*(-1 + 0 + 0) - 3 + 3 + 2*d - 1 + 1 + 6*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -2, -20, -72, -170, -326?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10958 and -168090.\nAnswer: -157132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*z + 30, -5*z + 2*m = 5*m - 49. Suppose 4*w = 13 + 3, 2*y = 2*w + z. Suppose 13 = 3*o - 2*p, -p + 10 = o + 4*p. Solve y = -o*a + 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 24 = -5*u. Let x(a) = -9 + 5*a + 21*a**2 + 17 - 20*a**2. What is the remainder when x(u) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 864, 866, 868, 870, 872, 874?\n\"Answer: 2*c + 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45)\/6*(-68)\/170. Solve -v + 4*h - 13 = 0, -4*v + 2*v + 18 = y*h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21216 - 21219. What is the biggest value in 0.4, c, 3, -9\/5, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 0 - 1\/24*z**4 + 0*z**5 + 13\/3*z**3 - 11\/336*z**8 + 0*z**6 + 17*z**2 + 0*z**7 - z. Find the second derivative of l(a) wrt a.\nAnswer: -220*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8052.77 kilometers?\nAnswer: 8052770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**2*u**3 - 1552*o**2*u - 12328*o*u**3 + 54*u**3 + 15*u + 29 wrt u.\nAnswer: -6*o**2*u - 73968*o*u + 324*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*o + 90*o + 80*o - 8.\nAnswer: 2*o - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1748 - 284 + 1588 - 346 + 87)*(3*p**4 - p**4 + 0*p**4).\nAnswer: 5586*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/20 + 3\/10. Let n(j) = j**2 - 4*j + 2. Let g be n(3). Are g and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0 = -4. Let j(p) = -2*p**2 + 4. Let q(v) = -v**2 + 3. Let w(k) = i*j(k) - 3*q(k). Let t(s) = -s**2 - 2*s - 4. What is -t(a) + 2*w(a)?\nAnswer: -a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v + 20 = -2*j, -4*j - v - 67 = 0. Let f(c) = -c**3 - 17*c**2 + 16*c + 16. Let x be f(j). Let w = x + 3203. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120 - -84. Let l = z - -45. Let u = -7 + l. Solve 0 = -5*h - 4*c + 11 + 1, -u*h = -2*c - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5 + 114*f**4 + 2490*f**3 + 16500*f**2 + 44625*f + 41250.\nAnswer: -3*(f - 55)*(f + 2)*(f + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 6:11 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26453016 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246815160.\nAnswer: 2, 3, 5, 37, 55589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5149*f**3 + 22*f**2 + 85*f wrt f.\nAnswer: -30894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c = -4*c - 25, -274 = -2*i + 5*i - 4*c - 533 + 270 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*n - 9*n = -17648, 17643 = 4*s + 5*n. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 + 92 = -11*x. Let t = -2 + 7. Let n(c) = -4 + 2 + 0 - t*c. Give n(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 2. Let u(v) = -91. Give 3*o(x) + u(x).\nAnswer: 3*x - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10198769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 - 4972*c + 744120 = 0. Calculate c.\nAnswer: -1378, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10629611.37ns in weeks?\nAnswer: 0.000000017575415625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**2 + 7*x + 2. Let i(r) = -4*r**2 + 8*r + 3. Let o(z) = -6*i(z) + 5*s(z). List the prime factors of o(-9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + g**2 + 1. Let a(k) = 3*k**3 - 3*k**2 - 8*k - 2. Let s(c) = -a(c) + 2*w(c). Factor s(f).\nAnswer: (f + 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**2 + 2*q**2 - 9*q**2.\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/5781054 and -67\/680124?\nAnswer: 11562108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s - 2*s + s)*(-89 - 26 + 406 + 200 + 139) as a + y*s and give y.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.12 + 0.1. Let z = 209 + -207. Let i = -38 - -37. What is the nearest to 1 in i, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 67375 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:27 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4780143 (base 9) to base 12\nAnswer: a4ba03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 2:08 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13\/27 (b) 85.5 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 l, and 1 v when three letters picked without replacement from {e: 4, j: 4, v: 2, l: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*a*i**3 - 82*a*i**2 + 9*a*i - 2*i**3 + 2*i**2 + i - 3502 wrt i?\nAnswer: -198*a*i - 164*a - 12*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 23\/4. Let f = 110435\/216623 + -182\/419. Let u = 5\/47 + f. Sort -2, n, u.\nAnswer: -2, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 = 0, 0 = 5*k - 3*c - 101 - 8. Find the first derivative of k + 12*o**4 - 12 - 12 wrt o.\nAnswer: 48*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -2*m**2 + 4*m - 2. Let k be 1*12*2\/8. Give y(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 110 + -108. Let d(q) = -q**2 - q. Let j(a) = -4*a**2 - 5*a - 1. Let w be 1 - 2 - 1 - 34. Let i be w\/(-16)*4*-1. Calculate c*j(x) + i*d(x).\nAnswer: x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35816, 35826, 35850, 35894, 35964?\nAnswer: 36066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1473*w**6 - 10*w**4 + 11*w**2 - 1369.\nAnswer: -176760*w**3 - 240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = -5. Let j = 7 + g. Suppose -3*a + 5 = -j. Solve a = t + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1584216, 3168438, 4752660?\nAnswer: 6336882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(70) - sqrt(70)) + sqrt(70))*-2*-5)\/(sqrt(1210)*2 + sqrt(1210) + -1*sqrt(40)) + 1.\nAnswer: 10*sqrt(7)\/31 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 50, 63, 92, 143?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -3, -1\/331739?\nAnswer: -1\/331739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 - -79. Let k = 0.3 + -0.1. Which is the third biggest value? (a) k (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38483 and 91090588.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 not equal to 297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 65, 109, 169?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 12:01 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - z - 5. Let f(q) = 2*q - 10. Let g be f(7). Let t be n(g). What is the greatest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 319*i**2 + 3*i - 2. Let m be z(1). Suppose 20 + m = 5*o. Suppose 0*f - f + o = 5*u, f + 2*u = 56. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 30. Suppose -12*i + 24 = -h*i. Suppose 0 = g - 7 - 29. Calculate the smallest common multiple of g and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -29\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.393336535 rounded to 4 dps?\nAnswer: -0.3933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 - -100.518569.\nAnswer: 100.378569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -519, -59, 0.13, 0.4 in descending order.\nAnswer: 0.4, 0.13, -2\/3, -59, -519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6347 a factor of 836674234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220 (base 8) to base 2.\nAnswer: -10010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 674324.\nAnswer: -1\/337162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/30 of a minute?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13*8\/((-208)\/26)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*v - 4*q - 5, 0 = 2*v + 2*q - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3327 or 50752?\nAnswer: 50752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2448 + -2367. Calculate the remainder when 301 is divided by o.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s + 146 = 0. Let q = s + 432. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 3:51 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8737*f - 6993*f + 2197*f.\nAnswer: -13533*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, 177, -5\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -39 + 33. Suppose 43 = 6*t + 619. What is the smallest value in l, -1\/6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, u: 3, a: 5}. What is prob of picking 3 a?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(80)\/(sqrt(40)\/sqrt(4)) + sqrt(8)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*s - 6 = 0, -3*s + 11 - 17 = -5*i. Suppose 7 = i*j - 5. Suppose 0 = -c + 4*c - 15. Put c, j, 2 in increasing order.\nAnswer: 2, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 18 + 21 = 0. Suppose -263 = -3*n - h, o = -h + 2. Is 36 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*x**3 - 126085*x**2 - 358746*x + 58176.\nAnswer: -(x + 3)*(x + 9696)*(13*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 10:29 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-25)*(-29)\/(-3) - -6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l. Let g be (1 - 0)*1\/(-1). Let h = 1 + 4. Let j(u) = u**2 - 3*u + 1. Let d(p) = g*j(p) + h*s(p). Factor d(m).\nAnswer: -(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -218 - -223. Let z be (-718)\/(-15)*f + (-8)\/(-12). What is z rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1797237.2 and -1912.\nAnswer: -1799149.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/(-6))\/(1\/15) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1262070 and -61\/1100.\nAnswer: 138827700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45082 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1018 = -287*p + 153 - 23 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 413.744 + 0.556. Let p = z - 415. Let y = 0.22 + 0.08. Which is the second smallest value? (a) 4 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2228080.8 to the nearest 1000.\nAnswer: -2228000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/30*5)\/((-7)\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 4:28 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108527, 434034, 976605, 1736288, 2713131, 3907182, 5318489, 6947100?\nAnswer: 8793063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99.593 + -1.893. Round y to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3213 by -99.\nAnswer: -357\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17331 + 17331 - i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -63662326 - 0?\nAnswer: -63662326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.833 + -1.333. Put -135\/7, -0.5, r, -0.3 in ascending order.\nAnswer: -135\/7, -0.5, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -m - 0 + 2, 5*m + 5*z = 10. Put m, -6, -4, -2 in decreasing order.\nAnswer: m, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1477 - -803. Let u = c - -997. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 3 - 1\/30*r**5 - 1\/2*r**2 + 1\/4*r**4 - 2\/3*r**3 + 0*r. Let g(s) be the second derivative of c(s). Find f such that g(f) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 11:23 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 3. Suppose 0 = 4*n - 2*l + 3374, 4*n - 2*n + 1683 = -3*l. Let j = -843 - n. What is the fourth biggest value in u, -11, 2\/7, j?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -9f1223?\nAnswer: -9f1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1313\/7914 - -1\/1319. Let u(i) be the second derivative of 0*i**2 - 8*i + 0*i**3 + 0 - z*i**4. Let l(t) = -t**2. Determine u(l(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -12 + -19 + 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 866355 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 5*l - 1, -17 = 3*p - 23*l + 19*l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 348340763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2012 + 548.6412. What is v rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 9*q - 100. Suppose d - 25 - q = -2*j, 3*d = 4*j - 87. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3 + 7*i + 5*i**3 - 6*i**3 + 4 - 3. Let t = -125 + 121. Let u be d(t). What is the highest common divisor of u and 400?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1)*i)**(2\/27)\/((i*i**3*i*i)\/i**(2\/3)) assuming i is positive.\nAnswer: i**(-142\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i - 2496 = -50*i. What is the greatest common factor of 30 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19398152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10261, -20531, -30801, -41071?\nAnswer: -51341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9174 = -f - 2*k, -4*f + 2*k - 50683 + 13987 = 0. Let o = -14736766 + 324006953\/22. Let u = o - f. Find the common denominator of u and 49\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a7 - -5?\nAnswer: 2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c - b052?\nAnswer: -b025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.369?\nAnswer: -0.1476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, 76, -4.\nAnswer: -4, -1, 15, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 1 - a + 4*a)*(a - 8 + 0 + 6).\nAnswer: -a**2 + 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 813 = -8*w. Suppose 28 - w = -3*c. Is 45 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1cc37 - -2?\nAnswer: -1cc35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 29 - 29) + (1 - -9 - 1).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 11 = 5*n, 10 = 4*n - 4*t + 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145973 is divided by 139.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 - 27*p. Let d(m) be the second derivative of -1\/12*m**4 + 0 + 0*m**2 - 13*m + 0*m**3. What is w(d(h))?\nAnswer: -2*h**4 + 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3993*b**6 - 662*b**2?\nAnswer: -479160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 5)*(-49 + 79 - 45)*(-6*g - 4*g + 6*g) as o*g + c and give o.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32923 is divided by 16459.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 3. Suppose 0 = 5*f - 3 - 2, d*i = 5*f + 40. Let v = i - 7. Solve 4*c - 2*z + 3 = -9, 0 = v*c + 4*z + 26 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (5 - 1 - (3 - -14)) - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4449 = 3*j + 5*h, 13*j = 9*j - h + 5949. Is j a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*m + 156, 4*m - 32 = 4*q + 124. Let n be (m\/9 - 3)\/((-10)\/10). Let k(i) = i**2 - 3*i + 1. Let w be k(2). Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-41)\/130*2. Let x = -2\/65 + g. Let v = 1.5961 + -1.4961. What is the closest to x in v, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**5\/60 + 3*g**4\/8 - g**3\/6 + 17*g**2 - 10*g - 7. Suppose 3 = 2*l - 11. Determine a(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b - 55 = -4*s, 9 = 3*b. Let q(u) = 2*u - 29. Let f be q(s). Solve 0 = -3*g - f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-21)\/(x\/x**11)*(x\/(x**(-3\/4)*x))**(-7))**24 assuming x is positive.\nAnswer: x**(-390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7770197 micrograms?\nAnswer: 0.0000000000007770197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 12:23 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -25)\/((-850)\/510*(-297)\/30)\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 2:57 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204 - 136. Calculate the remainder when z is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(128) + 5 + sqrt(128) + 3)**2.\nAnswer: 1280*sqrt(2) + 12864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (13 + (-240)\/64)*4*-1\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 516003.\nAnswer: 516002.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:43 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 11963*x - 298494. Determine t(-25).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 352301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -11 - 0 - (-32 - -21). What is w in 4\/13*w**2 + 2\/13*w**3 - 6\/13*w + n = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66*((-5202)\/(-324))\/(-289).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -10, 9, 11804, 4, 1.\nAnswer: -10, 0, 1, 3, 4, 9, 11804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 1116 = -459. What is the remainder when 180 is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**4 - 470*z**3 - 10162*z**2 - 9690*z = 0.\nAnswer: -19, -1, 0, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2733 and 59.\nAnswer: 161247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -89*g + 799. What is the tens digit of v(-36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -582\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 3:28 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*(q\/q**4)\/q*q)))\/((q\/(q\/(q*q\/(q\/q**4))))\/q*q*q))\/(q\/(q**1*q)*q)**48 assuming q is positive.\nAnswer: q**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) 1652098 (c) -147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 409 + -409. Calculate the remainder when (a + (-7)\/(-21))\/(4\/1896) is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 190\/4 - 2 - (-21)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13130232121 + -13331?\nAnswer: 13130212130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 23*x + 519. Let y(s) = 8*s + 187. Let d(p) = 4*j(p) - 11*y(p). What is d(-11)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03699 times -31.13\nAnswer: -1.1514987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 22*m - 9. Let t(k) = 11*k - 4. Let b(j) = 3*r(j) - 5*t(j). Let s(o) = 5*o - 3. Determine 2*b(n) - 5*s(n).\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 7. Suppose q = 2*j - j - 27. Calculate the highest common divisor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-3\/11)*k)\/k)**(2\/11))**(-1\/16) assuming k is positive.\nAnswer: k**(3\/968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwqqlipqqqqw. What is prob of sequence lw?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 497, 491, 473, 437, 377, 287, 161?\n\"Answer: -k**3 + k + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -61299 + -1521?\nAnswer: -62820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*r - 11. Suppose t - 72 = -1. Calculate the remainder when t is divided by 3 + -2 - (-51)\/r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7328524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 1 + -8 + 8. Let s be 0 + (2\/c - -2). Suppose -u - s*u = 5240000. Round u to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 7*t = -19, t = -333*h + 338*h - 25 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 121824.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/19)*(q*q**(-1\/6)*q)\/q*q\/(q**(-4)*q)*q*q**(-7) assuming q is positive.\nAnswer: q**(-121\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-51 + 23)\/((4\/(-19))\/2) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -7078 - 1409. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 960 and 61120?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 654480 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 5, 1190, 39, 4?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -163*l - 12. Let w be r(-4). Suppose -12*i + 332 = -w. Suppose q - 23 = i. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + g + 2. Let n(x) = x**3 + 4*x**2 + 40*x + 10. What is 5*a(q) - n(q)?\nAnswer: -q**3 + q**2 - 35*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2017896.\nAnswer: 2, 3, 83, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-3) - -2 - -2. What is the first derivative of -g*i**2 + 4 + 4 + 8 wrt i?\nAnswer: -16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 1) + 0 + -1 - -3. Suppose 5*j - 33 = 4*u, 0 = -6*j + 5*j + g*u. Suppose j*y - 2*y - 14 = 0. Solve -y*o - 2*o = 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -73*y + 376. Determine u(7).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8788307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 6 = 5*n - 1, -1 = -5*t + n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, k: 1, h: 2}. Give prob of picking 1 k, 1 h, and 2 m.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.42 take away 0.183836?\nAnswer: 2.236164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a**(-2\/7)*(a*(a*a**0)\/a*a*a*a)\/(a**(-3\/8)\/a))**(33\/5) assuming a is positive.\nAnswer: a**(3861\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - u = 171, 8*u - 10*u + 876 = -5*t. Let k be t*8\/(-13566) - (-6)\/(-51). Let w be 3\/(-5) + (-2)\/5. Which is bigger: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + -1 - -6 - -3. Suppose -3*i + 136 = -h, -4*i + 3*i + 27 = -4*h. What is the third derivative of 2*y**n - 12*y**2 - i*y**6 - 2*y**3 + 48*y**6 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**1\/a))**23*a**(-2)*a**(-4\/9)*a)**(-1\/14))**31 assuming a is positive.\nAnswer: a**(-3007\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3924585 divided by -2\nAnswer: 3924585\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 - 4*j**3 - 2*j**3 + 1618 - 1689 + (2*j**3 + 5*j**3 - j**3)*(-4 + 5 + 1) to the form m + o*j**3 + a*j + h*j**2 and give m.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31999 - -32010. Solve -n*a - 5961 = -5983 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 3:47 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/((-66 - -6)\/6))\/((-339)\/10735)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.6 (b) -1\/7 (c) -7 (d) -0.4 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5244 (base 14) in base 12?\nAnswer: -8250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/(32\/8) - (5 + 0). Solve 0 = p*q - 2*l + 3, 4*q - 1 = -3*l + 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3766770571.\nAnswer: 59, 63843569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 750 rounded to the nearest ten?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 30 = 3*x. Let v(o) = -2*o + 6. Let z be v(x). Let t = -5 - z. Solve -q + 6 = t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 3:17 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17719892 is divided by 1581.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4355533 to the power of 1\/2, to the nearest integer?\nAnswer: 2087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 118471, 118457, 118443, 118429, 118415?\n\"Answer: -14*n + 118485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.241 + -178.141. Let r = u - -178. What is the third biggest value in 0.02, 5, r?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (871\/52)\/(1\/(-16)). Let b = k + 279. Solve -5*m = 14 + b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -854 divided by 11382\nAnswer: -61\/813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 = d. Let h be 3 + (d - (-12)\/(-4)). Let p = -5.3 - -5. What is the smallest value in 1\/5, p, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 (base 11) in base 14?\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -3, 2 in decreasing order.\nAnswer: 41, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-588)\/630)\/((-10)\/150)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2728*c + 45002 + 87802 = -145313 + 81701 for c.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n + 2*n)*((0 - 2 + 0)*(8*n**3 - 2*n**3 - 2*n**3) + 3*n**3 - 8*n**3 - 4*n**3).\nAnswer: -34*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 2*m + 3. Let c be d(-2). Let t(w) = -2*w**3 - 6*w**2 + 4*w + 2. Is t(c) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c92b + -2?\nAnswer: c929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/15 - 416*u\/3 - 2078\/15 = 0 for u.\nAnswer: -1039, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 21\/(-6))\/(21\/(-6)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Suppose 5*v + 20 = o*j, 0 = -3*v - 12. Suppose -x = p, -4*x + j*x + 21 = -3*p. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxzxzzz. What is prob of picking 2 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1 (c) 4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -1822.\nAnswer: 7\/1822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*o + 77*o - 581 = 0. Let d = 87 - o. Solve -5*y + 1 = -d*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -24*p - 5. Let x(k) = 12*k + 3. Let o(b) = -4*d(b) - 7*x(b). Is o(9) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5901 + -5901.5. Which is the closest to -121? (a) w (b) 3\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3383\/7 + -483. Find o such that 8\/7 + 0*o - q*o**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -984*m*x**2 - 2*m - x**3 + 879 wrt x?\nAnswer: -1968*m*x - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/18? (a) 28\/9 (b) 0 (c) 2\/15 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 13. Suppose 0 = -z*w + 10*w - 4*b - 20, 3*b - 12 = -3*w. Suppose 0 = 2*x - 5*x. Solve -d + w = -x*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 35*i - 17*i - 6*i - 6*i - 9*i.\nAnswer: -2*i**2 - 73*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 506 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: What is 194909475 divided by -7107?\nAnswer: -27425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 1. Let s be u(2). Suppose 0 = 4*h - h - 3*y - 24, 0 = 4*h - s*y - 31. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o**2 - 15*o - 19. Suppose -4*z + f = 25 - 6, 4*z + f + 29 = 0. What is the hundreds digit of l(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*48\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1528 is divided by 62.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -14*g - 47 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 46 = 4*o + 3*k, 0 = 3*o - 3*k + 24. List the prime factors of o*47\/3*-1.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**2\/2 + 2. Let z(x) = x**2 - x - 3. Let n(h) = 6*l(h) + z(h). List the prime factors of n(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7843895, 15687982, 23532083, 31376204, 39220351, 47064530, 54908747?\n\"Answer: y**3 + y**2 + 7844077*y - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17555, -35121, -52699, -70295, -87915, -105565?\nAnswer: -123251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-39)\/(-78))\/(45\/(-46) - -1). Let w(t) = -48*t + h*t + 24*t. Let x(v) = -v. Give 6*w(j) - x(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/4 + 341*p**3\/4 + 4905*p**2\/4 + 22975*p\/4 + 8875 = 0. What is p?\nAnswer: -5, -4, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17304 - 3842. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l = 0. Suppose 5*c - 99209 = -p - l*c, -4*p - c + 396817 = 0. Let u be (-1)\/(-4) - p\/16. What is u rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38\/7 + 432\/77. Let x = -18 - -6. Let d be (1\/2)\/(x\/8). Which is the closest to d? (a) -1 (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 997139 divided by 76703?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23174 + 23172. Let h = 381 + -224. Which is the third biggest value? (a) p (b) 2\/15 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -17*d**2 + 3*d + 9. Let a(w) = -158*w**2 + 28*w + 84. Let g(k) = -3*a(k) + 28*i(k). Let f(v) = -2170*v + 2. Give g(f(h)).\nAnswer: -9417800*h**2 + 17360*h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 + 25. Let y = -128 - d. Is 6 a factor of 126\/4 + y\/(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2197300 rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 0*i**2 - 2*i**2 - 3 - 6*i. Let q be p(-4). Suppose z + 3*z - 160 = 0. Calculate the highest common factor of q and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**7\/168 + h**6\/60 + h**3 - 9*h. Let d(y) be the second derivative of a(y). Find the third derivative of d(n) wrt n.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -9, 3, -5 in increasing order.\nAnswer: -9, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.77 and 0.0441188.\nAnswer: 0.033971476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 3:06 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(720) + 2)*-4)**2 + (sqrt(60) + sqrt(540)*5)\/(sqrt(12)*-2*2).\nAnswer: -772*sqrt(5) + 11584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*j = 0. Solve j = c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-5\/2)*h*h)\/h*h**9\/h*h*h**(-3\/11)\/h*h**(-1\/7) assuming h is positive.\nAnswer: h**(1861\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, q: 4}. Give prob of sequence qtqq.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 884*h**3 + 25644*h**2 + 69184*h + 624.\nAnswer: 4*(h + 3)*(h + 26)*(221*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*v**3 - 16*v**2 - 2*v + 2275.\nAnswer: 48*v**2 - 32*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5 - 3 = 0. Let j = -6 - g. Let d be j*-3*(-4)\/24. Let a(i) = i**3 - 2*i**2 + i. Let n(y) = -y. Calculate d*a(p) + n(p).\nAnswer: p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4457*z = 4441*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*d + 2*d = -5, 0 = 2*i - 4*d - 26. Let h be (-2 + i)\/(-1) - 2. Let j(w) = -w**3 - 3*w**2 - w + 4. What is the units digit of j(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315.472741 rounded to 2 dps?\nAnswer: 1315.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1158*z + 2 - 9 - 1132*z.\nAnswer: 26*z - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3\/4 + 5*a**2\/4 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.03, -8, 98039?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-4)*(-74)\/1221.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -72, -144, -212, -276, -336, -392?\n\"Answer: 2*w**2 - 78*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 26 + 4)*(-94 + 63*m + 94 + (-4 + 5 - 3)*(2*m - 2*m + m)) in the form p*m + w and give p.\nAnswer: -1220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 0*a - 14 = 0. What is the first derivative of 32*v**3 - 18*v**3 - v**2 + 6 + v**a wrt v?\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 28 = -5*c, -5*s - 2*c = -5 - 23. Suppose 0 = -2*t - s. Let j be (-2)\/4 + (-7)\/t. Solve j*v - 2 = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 214237264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 314 = -2*o - 310, 31 = 5*o - 2*d. Solve 3*l = o*b - 8, 5*l = 2*b + l - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67461236\/1700 + (-12)\/150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 6:56 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 48\/3*4 - -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-3) + -3)*25. Suppose -5*h - u = 0, m - 27 + 3 = 2*h. Calculate the remainder when 39 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -297, -339, -381?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 46 (b) 1 (c) -6 (d) 11 (e) 5\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 359 and -7.5355.\nAnswer: -2705.2445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 2:33 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000727 rounded to 6 decimal places?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47747 + 92981. Does 63 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563178856 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 g = 1 - 5. Let v = g + 6. Suppose -3*w = -8*o + 6*o - 33, -3*w + 36 = -3*o. Solve -w = -v*d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48809118.\nAnswer: 2, 3, 263, 30931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzs. What is prob of sequence zs?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/13 + 93308*r\/13 - 1088297858\/13.\nAnswer: -2*(r - 23327)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/29260415 and -6\/1851925?\nAnswer: 146302075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -20*y + 92\/9 - 284\/9*y**2 - 4\/3*y**3 = 0.\nAnswer: -23, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 660915948?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, h: 3, x: 4, q: 1, j: 3, c: 2}. What is prob of sequence jjq?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n - 1 + 4*n - 6*n. Let w = 8 + -2. What is the tens digit of q(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-114)*(-60)\/(-5)*(-953)\/3812?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*n**2 + 28*n**3 - 43*n**2 + 59*n**2.\nAnswer: 28*n**3 - 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 575\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/55 + 23\/165. Do -1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3178 and 122514?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12, -10, -52, -120, -220, -358, -540?\n\"Answer: -p**3 - 4*p**2 - 3*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 16*q**2 - 3*q - 67. Let o(y) = 2*y**2. Determine o(l(n)).\nAnswer: 2048*n**2 - 384*n + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 10*p - 12. Let x be u(6). Suppose l + x*l = 143. Suppose -l*n + 104 = -413. Calculate the remainder when n is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -18308.\nAnswer: 3\/18308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5601 + -402?\nAnswer: 5199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448*o**2 - 6*o**3 - 448*o**2.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69.45 - 0.45. Let y = -69.000062 + l. What is y rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1986 + -338. Let w = -1647.99221 + n. What is w rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 3*p - p)*(2*p**2 + 0 + 2 + 0*p**2)*(3*p + 0*p + 0*p).\nAnswer: 30*p**4 + 30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, 47, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*j + 11*j. Let n(u) be the second derivative of 1\/48*u**4 - 1\/4*u**2 + j - 2*u - 1\/24*u**3. Solve n(i) = 0 for i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*4\/6*6\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 52 + 64. Let x(n) = -n - 1. Let d be x(-1). Suppose 0*z + z + l = d. What is z rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*q + a - 5*a, 2*a = -5*q - 3. Let z be ((-176)\/44)\/(4 - 6\/((-48)\/(-28))). Sort q, z, 5, 3.\nAnswer: z, q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 581 + 795 = 4*u. Let z be u\/30*8\/48. Let h = z - 10\/9. Find the common denominator of -119\/6 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-12))\/(24\/128)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-66)\/22 - (0 - 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -127*g + 891. What is b(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.24? (a) 2\/13 (b) -3 (c) -4 (d) -137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*d + 297901 + 182689 + 1048339 = 0. Round d to the nearest 100.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 896 and 19768576.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - (0 - 7) - 12 - 6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 3*j - 2*z, -2*j = 3*z - 6*z + 90. Is j < -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*sqrt(153) + sqrt(153) - sqrt(153)) + (sqrt(153) - 4*(sqrt(153) - (sqrt(153)*-1 + sqrt(153) - sqrt(153)))))\/(5*-2*sqrt(729) - sqrt(729)*-1*3)*3.\nAnswer: sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/4 - 973*c**3 + 34967*c**2\/4 - 19415*c = 0.\nAnswer: 0, 4, 5, 3883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 7\nAnswer: 29\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)*j)**32*(j*j**1\/j)**48 assuming j is positive.\nAnswer: j**(272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -261, -1279, -3811, -8613, -16441, -28051, -44199?\n\"Answer: -126*z**3 - z**2 - 133*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -202*z**2. Let g(f) = -2*f - 4. Let q(h) = -60*h - 110. Let x(s) = 55*g(s) - 2*q(s). Calculate x(v(k)).\nAnswer: -2020*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161 or 435339\/2704?\nAnswer: 435339\/2704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*l**2 - 4*l - 2*l - 24*l**2 + 671 + 6*l as q*l + m*l**2 + p and give p.\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -6. Suppose v - 13 - 8 = z. What is the remainder when 40 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (48\/20)\/(-1)*-45. List the prime factors of 1*(s\/4)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43577825, 43577819, 43577813, 43577807, 43577801?\nAnswer: 43577795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1253 - 1023.6\nAnswer: -2276.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 0.0567\nAnswer: 0.3969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 405 and 33735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -115380 bigger than -115364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1230169585?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -4 (b) -1.3 (c) -2 (d) -2\/11 (e) 1\/6 (f) 0.2 (g) -0.2275\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2 + (0 + 3 - 4)*(0 + 2 - 6))*(3*h - 5*h - 3*h)*(2 - 3 - 2).\nAnswer: 90*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 205 (base 6) to base 12\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -369377 - -94930075\/257. Let i = x - -29629\/7710. Let k = 191\/14 - -6\/7. Find the common denominator of k and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = s - 7*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*z + 40. Put z, -1, -4 in decreasing order.\nAnswer: z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -18. Let u be (0 + 2)*(-1360)\/j. Let h = -3806\/21 - u. Is h greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377 divided by -29?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -13885.\nAnswer: 6942.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68279*f - 68284*f = 5*g - 20, -5*f = f - 3*f + 5*g - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138\/(-161)*(735\/50)\/(-7).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-27) - (-336)\/162. Let o be (-4 + k + (-21)\/(-21))*-5. Let u(y) = y**2 + 3*y + 2. What is u(o)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 56\/(-105)*3)*35\/98.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19188536\/679 - -28260. Let a = 2029\/1358 + k. Factor -3\/4*x**4 - 21\/8*x**3 - a*x**2 + 3\/8*x**5 + 0*x + 0.\nAnswer: 3*x**2*(x - 4)*(x + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 - 16672*(-9)\/(-13871). Let x = r - 1\/1261. Suppose -x*z**3 + 2\/11*z**4 - 6\/11*z**2 + 2\/11*z + 4\/11 = 0. Calculate z.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -16. Let s = -12 + 10. Which is the smallest value? (a) s (b) 0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384895 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 591 + -345. List the prime factors of a.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/s**(-13))))\/(s\/(s*s**(-2\/7))))**(-1\/35) assuming s is positive.\nAnswer: s**(-96\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929 is divided by 155?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*v + 15 = 0, -4*i + 9*i = 2*v + 13. What is the remainder when (-7 + 17)*2*i is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b - 7. Let q(a) = 5*a + 6. Let p(i) = 7*q(i) + 6*r(i). Let w(y) = 3*y. Give p(w(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 29. Suppose 0 = -2*c - j - 28, -7 = 3*j + 5. Let s be a(c). Let n be (-60499997)\/s - (-3)\/5. Round n to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g - 0 + 14. Let n = 3 - 5. Let l = n + 1. Put l, g, -3\/2 in decreasing order.\nAnswer: g, l, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 11 + 59. Let j(m) = m**2 - m + 1. Let w be j(2). Solve 2*n = a + 4*n - 11, w*a - 3*n + g = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6) + ((-100)\/12 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2 - 2844*o + 1011042 = 0.\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86196 divided by -11.\nAnswer: -7836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 4*i + 15. Calculate x(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17000, -15848, -14696?\n\"Answer: 1152*y - 18152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 5*v**3 + 5 + 0*v**3 - 34.\nAnswer: -5*v**3 - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/15)*c**(-3)*(c*c\/c**(-3)*c)\/c**(-2\/5)*c**(-3)*c*c**(3\/8)*c*((c*c**3)\/c*c)\/c**(-5) assuming c is positive.\nAnswer: c**(1429\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -2*k**3 + 2*k**2 - 23*k + 17. Differentiate x(q) with respect to q.\nAnswer: -12*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 489, 979, 1469, 1959, 2449?\nAnswer: 2939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 5, 1, 27, -10650 in decreasing order.\nAnswer: 27, 5, 3, 2, 1, -10650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-24)*4*-1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35 + -9?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/41 less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5098 + -5098.036808. Round i to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -103, -224, -425, -706, -1067?\n\"Answer: -40*x**2 - x - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14966082 and 2.\nAnswer: 14966082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -542 = -543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 + 3*n - 642779 + 0*n**2 + 642783 + n**2 + 2*n**2 + 3*n**2 + (-3*n + 6*n - 2*n)*(-3*n + n + n) to s*n**2 + l*n + h and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/33 and 47\/50915763?\nAnswer: 560073393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -177.971 + 178. What is the biggest value in -0.4, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 287160905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0080691 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -66610000 rounded to the nearest 1000000?\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17475865 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -296198, -296168, -296138?\n\"Answer: 30*w - 296228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(284\/(-24) - -12)\/(9\/27).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -18*m**6 + 0*m**2 - 7 + m**2 - 19*m - 12*m + 26*m. What is the second derivative of u(c) wrt c?\nAnswer: -2160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 7.03. Let w = x - 0.03011. What is w rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**6\/120 - 6*l**5\/5 + 72*l**4 - 2304*l**3 - 99*l**2. Let h(t) = 0. Calculate t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anacanaaaitkanan. Give prob of picking 1 c, 2 n, and 1 k.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3982 at least as big as -3986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/537 or 0?\nAnswer: -1\/537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0 + 0*p - 1)*(-4 - 2 + 1).\nAnswer: 5*p + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22302 divided by -1.\nAnswer: 22302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-825)\/(-1375) + (-187)\/17)\/((-1)\/(-5)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8*z - 3*x + 108 = 0, 3*z + x - 64 = 0. Let w be ((-33)\/15 + 1)\/((-1)\/10). Solve w = 18*c - z*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*j*l**2 - 6865*c*l**2 + 2*j*l**2 + j - 66*l**2 - 3*l with respect to c.\nAnswer: -2*j*l**2 - 6865*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o + 7*o**2 - o**3 + 11*o - 5*o**2 + 3*o**2. Let u(y) = -1. Let q(m) = -m - 2. Let t(l) = -q(l) + 3*u(l). Let d be t(6). Determine j(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 1 + 2)*(4 + 13*v - 52*v - 5).\nAnswer: -897*v - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40563054865 + 0*h - h + 40563054865.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3534539, -3534540, -3534541, -3534542?\n\"Answer: -s - 3534538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 + 8*f**2 + 12*f - 2. Let o be d(5). Solve 5*z + 7 + o = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 4. Let f(h) = h**2 - 6*h + 4. Let m be f(q). Which is the third smallest value? (a) -1\/2 (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-120)\/(-25)*(-30)\/(-9). Suppose a = w + 3*w. Suppose 4*d - 67 = -3*s, 4*d + w*s = -0*d + 72. Calculate the remainder when 75 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*r - 109*r + 52*r + 115*r + 138*r.\nAnswer: 234*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*w + 7 = 18, -5*w + 1 = 2*h. Suppose -2*k + 5 + h = 0. Suppose 4*m = -n + 13, -n - k*n + 4*m + 41 = 0. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5755*l + 512194. Calculate b(-89).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36087100 and 103106.\nAnswer: 36087100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6956236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - 64*d + 153. Calculate r(5).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -45. Suppose -5*q - g + 97 = 0, -3*q + n = -0*g - 3*g. Let v be (-2 - q\/3)*264. What is v rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28*(42\/(-24) - -2). Suppose -2*a + 612 = j*a. What is the greatest common factor of 85 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 4*h - 6. Let p be f(-5). Let i(n) = -8*n - 1. Let y(j) = 3*j. Give p*y(k) - 4*i(k).\nAnswer: -k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 627 + -445. Let b = 312 - x. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(12\/6)\/(-14)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*v = -764, 201 = 2*r - 4*v - 95. What is the greatest common divisor of r and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51000837.\nAnswer: 3, 37, 459467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1391 = 3*v, -831 = -3*q + 123*v - 126*v. Calculate the greatest common factor of q and 2440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943099681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -94068319.97 and -1.38.\nAnswer: -94068321.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4748624*x**5 - x**2 - 48*x + 1303 wrt x?\nAnswer: 284917440*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.0675\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2.57 (b) 1\/2 (c) 0.2 (d) -1\/6 (e) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -14 + ((-8)\/(-3))\/((-6)\/9). Let w be (1*15\/6)\/((-9)\/t). Let j(c) = 3*c + 1. Let s be j(-1). Put 4, s, w in decreasing order.\nAnswer: w, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -3 - (0 + -1 - (-10 + -2 - -10))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(99) + sqrt(99)*-3 + sqrt(99))*-1*-5)\/(4*sqrt(576)*-2) + 4)**2.\nAnswer: -65811\/1024 - 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -28319*w**4 - 75*w + 84473. Let p(z) = 4720*z**4 + 12*z - 14079. Let n(u) = 4*b(u) + 25*p(u). Differentiate n(f) wrt f.\nAnswer: 18896*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, -21, 3, -2, 1 in descending order.\nAnswer: 9, 3, 2, 1, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*u + 40. Let w = u - 4. What is the remainder when 7 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -929 times -645\nAnswer: 599205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 5\/3, 0.1, 351?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -18*d**5\/5 + 21*d**4\/2 + 2344*d**3\/3 - 1580*d**2 + 1056*d + 1054. What is x in o(x) = 0?\nAnswer: -11, 2\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 37 = 5*t - 202, 0 = 4*y - 12. Let o be (-4)\/(-14) + (-33)\/(-7). Suppose -2*h + o*h = 27. Calculate the highest common divisor of h and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 0, -2, -82.\nAnswer: -82, -2, 0, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0 = 20. Suppose 33 - 5 = d*a + 3*c, 5*a = 5*c. Differentiate -4 - a*t + 3*t + 3 with respect to t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 713 - 705. What is the second derivative of -2*d**2 + 32*d**4 - s*d**2 - 267*d + 45*d - 30*d**4 wrt d?\nAnswer: 24*d**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5 = 0, 4*t - 545 = -3*z + 334. Let c = t + -131. Factor -8*l**4 - 3*l**2 - c*l**5 - l**4 - 9*l**3 + 85*l**5.\nAnswer: -3*l**2*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 + (-10)\/15*-6 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*h**2 - 54 + 54 + 264*h**2 + 2*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17841.7 - -20260. Round u to the nearest 100.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + (sqrt(13)*-2 + sqrt(13))**2*-6) + -2)*5.\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637*d = 1120*d - 1324*d + 23815 for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -2752208.\nAnswer: 1\/2752208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n - 4. Let g(p) = p. Give 5*g(k) + z(k).\nAnswer: -k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653.1737l to millilitres.\nAnswer: 653173.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -369 - -381. Find the third derivative of m*r**5 - 203*r**2 + 106*r**2 + r**4 + 7*r**5 + 96*r**2 + 14*r wrt r.\nAnswer: 1140*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10 - (-8)\/(-5). Let y be ((-2)\/(-7))\/(30\/70). Which is the second biggest value? (a) r (b) y (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 343.6, 6096 in descending order.\nAnswer: 6096, 343.6, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*-1)\/(4*sqrt(250)).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + 1 - (-32 - -25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000171 to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756137.\nAnswer: 227, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -0.205679257972.\nAnswer: 1.794320742028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078544 (base 9) in base 5?\nAnswer: 122134040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 10*m**2 + 10*m + 15. Let z be d(11). Let o be 1 + (-2)\/z*14. Let p = 18 + o. Calculate the greatest common factor of p and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -6a6?\nAnswer: 6a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 21 = 4*s. Let u(y) = s + 7*y - 6 - 4. Is u(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/48 + 2\/(48\/(-9))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0*w**4 + 0 - 5*w**2 + 1\/10*w**5 + 0*w + 0*w**3 + 0*w**6 + 1\/70*w**7. Find the third derivative of b(x) wrt x.\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.068, -3, 3885?\nAnswer: 3885","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyydraayddry. What is prob of sequence arr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddokmrmdmdmrrmorm. Give prob of picking 2 d, 1 k, and 1 m.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 1)*(260*j**3 - 178*j**3 - 907*j**3) as n*j**2 + a*j**3 + k + y*j and give a.\nAnswer: 825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9709 months in millennia?\nAnswer: 0.000247575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 11:08 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -0.3 (b) 56 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 11) to base 12.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5375328 by -304.\nAnswer: 17682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3870, -15359, -34572, -61515, -96194, -138615, -188784, -246707?\nAnswer: -312390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2539004, 2539005, 2539006, 2539007, 2539008, 2539009?\nAnswer: 2539010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from jttjtjtjttjjj?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 1. Let f(s) = -9 + 10*s - 33*s + 16*s. What is 2*f(l) - 18*u(l)?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.368 + 1.6. Let u = -5.232 + r. Sort 0, 0.2, -3\/7, u.\nAnswer: u, -3\/7, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 602863540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1576\/8555?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*o**2 - 4\/5*o + 2\/3.\nAnswer: 2*(o - 5)*(o - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208142, -208143, -208144, -208145?\nAnswer: -208146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*t + 5*t - 13*t + 74*t.\nAnswer: 39*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-612)\/(-18))\/(-17)*(-14)\/(-6)*24\/128?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 0.5, -21, -4, -133.\nAnswer: -133, -21, -4, 0.5, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.562*127.5.\nAnswer: 71.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*w**3 + 3*w**3 - 3 - 1 + 3*w**2 to the form m*w**2 + g*w + o*w**3 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71068.\nAnswer: 2, 109, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 5*f - 7*f**3 - f - 5 + 6*f**3 - f. Let m(u) = -2*u**3 + 7*u**2 + 6*u - 11. Let j(a) = -3*m(a) + 7*v(a). Factor j(d).\nAnswer: -(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/49*((-3)\/3)\/(-5*2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v - 24*v - 5*v. Let p(d) = -d**2. Calculate k(p(g)).\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/17)*h)\/h*h)\/(h*h*h**4\/h))**(6\/17) assuming h is positive.\nAnswer: h**(-396\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5952 and 19312.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27970 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/980001 and -82\/980001.\nAnswer: 980001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 22 - -5 - (0 - -2 - (1 - -6))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 331583738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h + h + h**3 - 3*h - h. Let b(x) = 5*x**3 + 6*x - 5. Let m(u) = -b(u) + 6*w(u). Differentiate m(z) wrt z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30989, -30974, -30959, -30944?\nAnswer: -30929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.56 - 0.26. What is the closest to 2\/7 in -5, 0.1, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4814\/2 + (-2 - (3 - 9)). Suppose -244 = 11*t - o. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52*l - 11*l + 82*l)*(-4*l + 2*l - 8*l) to the form v + r*l + n*l**2 and give n.\nAnswer: -1230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 2. Suppose -5*n - 24 - 36 = 0. Let o be (4\/(-16))\/(1\/n). Suppose w = 4*w - o. What is k(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -15*l - 1. Let h(s) = 234500 - 469006 - 63*s**2 + 234506. What is n(h(g))?\nAnswer: 945*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450, 445, 512, 711, 1102, 1745, 2700?\nAnswer: 4027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyyo when four letters picked without replacement from {y: 4, m: 2, c: 1, o: 2, j: 4, f: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 817499 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.0365*8.71\nAnswer: -0.317915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/12 + (-1890)\/(-56). Suppose -3*t - 3*m + 5007 = 0, 5*t + 35*m = o*m + 8336. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6175*u**2 + 756*u + 1509. What is the hundreds digit of v(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, j: 1, n: 2, b: 2, p: 4, q: 1}. Give prob of sequence jb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiiiiiwwwwiwi.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 - -91. Calculate the remainder when 76 is divided by ((-3)\/(3\/(-29)) - w) + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 3, 0, -10, -4, 30 in ascending order.\nAnswer: -10, -4, 0, 3, 30, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/36*32*(-312)\/(-672)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8501 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 335 = 5*o + 3, 2*h = 5*o - 314. Calculate the remainder when 141 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -4*s + 8, m + 7 = -5*s + 17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 3*g - 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*1*2)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*j**2 - 8 - 4*j = 0. Calculate j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h\/(h*h*h*(h\/h**(-1\/3))\/h)))**(-9\/13)*(h\/(h*h**(-1)*h))**(-2) assuming h is positive.\nAnswer: h**(-30\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176660 and 240900.\nAnswer: 2649900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 782328.9 litres in millilitres?\nAnswer: 782328900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11453, 21426, 31399, 41372, 51345, 61318?\n\"Answer: 9973*c + 1480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**2*f**3 + 113990334*b*f**3 + 9141*f**3 + 3659*f wrt b?\nAnswer: 4*b*f**3 + 113990334*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 9*s - 6. Let f be g(-3). Let w = f - -342. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2))\/((-9)\/24). Let c be ((-48)\/n)\/(-3) - 4. Solve c = -5*v - 4*r + 6, 0 = -v + 6*v + 3*r - 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592*t - 141771 = -721*t. What is the highest common factor of t and 6751?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/260 and 9\/908?\nAnswer: 59020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51440421 and 20439.\nAnswer: 462963789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 = -2*a + 329 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113054 - -1?\nAnswer: -113053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10185)\/126 + 4\/(-6))*216\/(-3)?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t**2 + t - t. Let u(c) be the second derivative of c**3\/6 + 3*c + 20652. What is a(u(w))?\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 557 = -3*r, -2*w + 1122 = 2*r + 40. Let b = w + -365. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**2. Let n(k) = 7846*k + 3 + 7849*k - 15689*k. Calculate n(j(g)).\nAnswer: -30*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -88, -136, -184?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6225.6806 - -6223. Round f to 1 dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*d + 8 = 0, 46 = 3*y - 4*d - d. Sort y, 2, 4.\nAnswer: 2, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49069 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 166*z**3 - 10*z**2 + 11*z. Let k(q) = 82*q**3 - 5*q**2 + 6*q. Let n(a) = 7*k(a) - 4*v(a). Find the third derivative of n(s) wrt s.\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -102675?\nAnswer: -102674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106 - 103. Suppose 7*p = a + 11. Let f(w) = 6*w**3 - 7. Let t = -7 + 0. Let o(s) = 2*s**3 - 2. What is p*f(h) + t*o(h)?\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 117058671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**3\/3 + 7772*s**2 + 93316*s\/3 + 23332 = 0. What is s?\nAnswer: -3, -1, 5833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 45 = -11*u. Let g = 3 + u. What is the highest common divisor of 84 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 5*a + 7930 = 0. Let r = a + 1829\/3. Let y = 14 - 22. What is the fourth biggest value in r, 2\/5, 6, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**2 - 1441*f - 480 = 0.\nAnswer: -480, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 305038, 609987, 914936, 1219885?\nAnswer: 1524834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 1. Let x be f(1). Let r = 2 + -2. Let l = r - 0.5. Which is the third smallest value? (a) l (b) 1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.35 - -1.35. What is the second smallest value in -0.6, -2\/13, b?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - n + 1. Let l(r) be the third derivative of r**5\/60 - r**4\/12 + r**3\/6 - 7*r**2 - 4. Let q be 4\/(-4*2\/(-4)). Calculate q*f(y) - l(y).\nAnswer: y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5227.\nAnswer: 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -10123121302?\nAnswer: -10123121230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5 - 537*q**4 - 18036*q**3 = 0 for q.\nAnswer: -501, -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -59. Put -5, k, -4 in increasing order.\nAnswer: -5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4828358743 to the nearest integer?\nAnswer: 1690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k = 4*z - 15, 1 = k. Let r(t) = t**2 + 7*t + 6. Let d be r(-6). Suppose d = -4*p + z*p + 1. Solve -2*g + g = -p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 + 6*u**3 - 3*u**3)*(3 - 2 + 1) + 5*u**3 - 4*u**3 + 7*u**3 - 98 + 98 - 10*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-8)\/(-10))*9*115\/(-46). Solve 27*z - 30*z + 5*d = -y, -3*d = 5*z - 30 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2219279 divided by 4.\nAnswer: 2219279\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 567754.3cm?\nAnswer: 5677543000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1873023332.\nAnswer: 2, 139, 3368747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 at most 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*l + 273*l + 3*l - 102*l**3 + 9*l wrt l.\nAnswer: -612*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22\/15, -0.4, -1, -11, 13 in ascending order.\nAnswer: -11, -1, -0.4, 22\/15, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2. Let q(f) = 43022*f. Calculate q(u(t)).\nAnswer: 43022*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -308, -2, 4.\nAnswer: -308, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 at least as big as 710\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 1144570*b**3 + 279498340*b**2 - 17053938360*b.\nAnswer: -5*b*(b - 122)**2*(b + 229158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5240522 or -5240515?\nAnswer: -5240522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**4 + 11*d**4 - d**4)*(2 - 4 + 0)*(1 + 0 + 2 + (-3 + 2 + 3)*(3 - 2 + 1))*(0*d - 2*d + d).\nAnswer: 70*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.5 - -22?\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -26.89289 times 2\nAnswer: -53.78578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 41 * -134.553\nAnswer: -5516.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**4\/24 - p**2\/4 + 12*p. Find t such that v(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/6 and 89\/484?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 55\/(-45)) + (-1498)\/18. Let v = n - -87. Suppose 60*l - v = 56*l. Let j(x) = -10*x**3 - x**2 + x - 1. Determine j(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 - 42\/(-4). Suppose t = -5*u - 3*j, -7*u + 2*u - 2*j = 10. Is (2 - -89*1) + u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15 + -2.65. Let l = 1.8 + z. Let i = 79\/234 - 3\/26. What is the closest to i in 0.5, -0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 51*h**2 - 84*h - 594. Determine d(7).\nAnswer: 1317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/43 in -6, -2, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*x - s - 34, 66 = 2*x - 4*s. Calculate the greatest common divisor of 21 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 400368 and 281838.\nAnswer: 42839376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 equal to 579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 + k. Let i(f) = -f**3 - 4*f**2 - 5*f + 4. Let b be i(-4). Let r be (b\/(-9))\/(-4)*-3. Let m be l(r). Solve -2 = -4*j - m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + sqrt(187)\/sqrt(176).\nAnswer: sqrt(17)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -283 + 443. Suppose 344 = 2*y + u. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*t - 50*t = -41*t + 2880 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10)\/((-350)\/4081) - 4\/(-10) is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 15 = -6. Solve -2 = -2*t + m*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -408\/7. Let j(r) = r + 4. Let o be j(0). Let d be 2\/16*(o - 2). What is the closest to d in -4, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10790 is divided by 1079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + 3*d - 9. Let n(v) = -3*v**2 - 4*v + 12. Let h(y) = -3*n(y) - 4*z(y). Let r = -1 - -1. Let i(m) = 0 - m + r. Give i(h(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pun when three letters picked without replacement from {p: 1, w: 1, u: 1, n: 2, h: 1, j: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = 2. Suppose 4*c - 138 = c - 2*g, -3*c + 132 = 4*g. Suppose -f + c = r*f. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3)*-1*-4 - (sqrt(432) + 2)).\nAnswer: -8*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + -535e5?\nAnswer: -535dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70 - 1157?\nAnswer: -1087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11 + 0.183. Let w = 0.093 - a. What is w rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 747 and 4979253?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -12*f + 8. Let b(q) = -868541*q - 8 + 8 + 868532*q. Determine r(b(z)).\nAnswer: 108*z + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/35)\/(3\/21 + 0). Suppose 1 - 5 = -y*r. Let p be (11\/33)\/(r\/18). Solve m = -p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1959332250.\nAnswer: 2, 3, 5, 19, 359, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 121.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2216006 to the nearest integer?\nAnswer: 1489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -317, -326, -355, -416, -521?\n\"Answer: -2*k**3 + 2*k**2 - k - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 79*j**3 - 2492*j**2 - j + 2094. What is the second derivative of o(q) wrt q?\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60\/9*(3 + 0). Suppose 268 = d + b. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*w - 74 = 3*w. Let s be w\/((-24)\/(-6))*8. Let l(j) be the third derivative of j**5\/60 - j**4\/6 + 2*j**3\/3 + j**2. What is l(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 + 123. Let h be (8 - i) + (40 - 38). Calculate the highest common factor of 30 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 - 0.29. Let q = -3.85 + -0.15. Which is the biggest value? (a) s (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/6)\/(2\/(-4)). Let c be (-3)\/z - (-64)\/12. Is 1 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 308e (base 15) to base 14.\nAnswer: 3a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7262094 years in decades?\nAnswer: 0.07262094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 5 - (5 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 25 - 41 + (-1 - 4 + 3)*(2 + 1 - 1))*(-y**2 + 0*y**2 + 2*y**2).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2, -6, 3687, -129 in increasing order.\nAnswer: -129, -6, -2, 2, 3, 3687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 5573.\nAnswer: 5572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 1 - 1)*(-1653*l - 792 - 793 + 1584).\nAnswer: 3306*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - -1)\/(-1) - -30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 10*i - 1. Let k be t(10). Put 2, -2, k, -9 in ascending order.\nAnswer: -9, -2, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9673 bigger than -203116\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/39))\/a*a)\/a**(14\/3)*(a*a\/(a**(-29)*a))**(-31) assuming a is positive.\nAnswer: a**(-12138\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -5, 4 in increasing order.\nAnswer: -5, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53501, 106920, 160339, 213758, 267177, 320596?\nAnswer: 374015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41488?\nAnswer: 2, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*t + 3, 2*a + 5*t + 9 = 5*a. Suppose 2*m - 43 - a = 0. Calculate the remainder when m is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**2 + 1 + 7*g**2 - 21*g**2 - 42*g**2.\nAnswer: -63*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 1, 90, 2 in descending order.\nAnswer: 90, 28, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, -548, 1, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -5*v - 3*k, 4*v - k - 22*k = -21*k + 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11432 - 11438 + 12*c**4 - 33*c**2 + 26*c**2 + c**3 + 2 - c**4 - 2 + (-2*c - 3*c + 3*c)*(-3*c**3 + 4*c**3 - 4*c**3).\nAnswer: 17*c**4 + c**3 - 7*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4877836 is divided by 1444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106 and 112.\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + i - 88 = -2*i, -84 = -5*n - 4*i. Let k = 14 - n. Let q be k\/33 + (-75)\/11. Let m(x) = x**2 + 8*x + 3. What is m(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -r - 53 + 62, 8*m + 2*r = 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrmq when four letters picked without replacement from mrqqqqbqqyqrmqmryj.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -610*s + 133. Is f(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -26. Suppose 2*u - i = 9. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 2. Suppose -3*k = -z + 8, 0 = n*z - 3*z + k - 4. Let l = 37\/51 - 1\/17. Which is bigger: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i + 19*j + 113 = 26*i, 2*i - j = -0 - 13 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6 = x - 19, 0 = -5*x + 2*c + 53. Solve -y = -7 + x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10749 + -290201\/27. Calculate the common denominator of -35\/1053 and a.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-5 - (5 - -3)) + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 17*h + 116. Is g(26) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/295420 or 1?\nAnswer: -11\/295420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n = 1440*w - 720*w - 722*w - 60, 2*w = -4*n for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 291553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbc when three letters picked without replacement from bxucuuffxcucbbuxxx?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y**3 - 8*y**3 - 2 - 9*y**3 - 45*y**4 + 26*y**3 + y to d*y**2 + p*y**4 + q*y + u*y**3 + t and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j + j**2 + 115*j + 421*j.\nAnswer: j**2 + 509*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 188*d - 2. Let m be j(-1). Let l = -170 - m. Suppose -280 = -3*g + g. What is the highest common divisor of g and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.1. Suppose -63 + 303 = 2*o. Let x be 1\/(-4) + 14\/o. Which is the smallest value? (a) u (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131141 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, -7, -1, 23, 71?\n\"Answer: p**3 - 13*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/330 and 163\/198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 462\/(-252) + (1 - (1 - 4\/6)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*l - 1150 + 1150 - l + 2 - 5 + 2*l + (-2*l + 4*l + 0*l)*(-1 - 10 + 2) to the form v + d*l and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*k - 4*k - 193 = 0, -2*f + 2*k = -126. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d\/(d**(-2)\/d)*d)\/d)\/d)\/(d*d**5\/d*d)*(d\/((d**(-2)*d)\/d))\/(d*(d**(-4)*d)\/d))**(-25))**(7\/6) assuming d is positive.\nAnswer: d**(-175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3786721057?\nAnswer: 7, 337, 1217, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 3)\/((2 - -1) + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 37*t**3 - 24*t**2 - 55*t - 5. What is w(-2)?\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbfk when four letters picked without replacement from {b: 3, f: 5, k: 5, c: 2}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21132098551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 182771?\nAnswer: 182776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1601.93 + -1602. Which is smaller: w or -7\/8?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -42 - (2 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024369 rounded to 4 dps?\nAnswer: 0.0244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6183*f**2 - 6183*f**2 + 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -472*t - 42. Let u be v(-17). Let c = -3912 + u. Let w = -2839 + c. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-60)*4)\/((-16)\/10)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162789957 is divided by 5368?\nAnswer: 5357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1547)\/273)\/((-7)\/(-21))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 + 0*r**3 - r**3)*(38*r + 33*r - 63*r)*(-1 - 3 + 1)*(-1 + 0 - 1).\nAnswer: 96*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.136*-10.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen sevenths of a week?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 403505 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l, -72 + 6 = -2*b + 3*l. Solve -6*p + 2*m = -p + b, 4*p = -2*m - 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2 = 2*f, c + 2*f = 2*c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 102*b**2 + b - 615. Is m(-34) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/9 + 0*t + 1\/9*t**2.\nAnswer: (t - 1)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52991299, 211965193, 476921683, 847860769?\nAnswer: 1324782451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7548108 tonnes in grams?\nAnswer: 754810.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**4\/24 + 2*y**3\/3 + 2*y**2 + 2. Let u(f) be the second derivative of x(f). What is the first derivative of u(c) wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -2 - (-20 + 12). Let r(a) = 3*a**2 - 2*a. Let i be r(d). Calculate the highest common divisor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3174 = -4*h, -m = 3*m - 3*h - 6326. Does 53 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 divided by -1328?\nAnswer: -97\/664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddnvdpqdvq. Give prob of picking 3 d and 1 v.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*h + 56*h + 85*h + 1702 = -72*h for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66.069 + 0.069. Let s = 30 - m. Let j = -122 + s. Is -1 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20918 - 38983 + 5007 = 980*d + 17626 for d.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.74+5174394.8\nAnswer: 5174394.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.2, -2\/1943, -2\/3, 1208, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -304.9, -1\/5, -0.1, -268, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = -z - 3*g, -2*z - z = 3*g + 459. Suppose -5*o - 675 = 5*d, -2*o - d - 290 = -4*d. Let i = o - z. Which is the biggest value? (a) -2 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -5*j - 2*q - 2651, -4*j = 3*q + 2127. Let g = j - -932. List the prime factors of g.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8037, 6910, 5783, 4656, 3529?\nAnswer: 2402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 4*i - 3*i)*(3*i + 5 - 5) + (-5*i - i + 5*i)*(3 - 3 - i) - 6*i**2 + 3*i**2 + 0*i**2.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 15*n - 212. Give a(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 6*c + 7. Let b be s(7). Let g = b - 6. Suppose -3*y = 3*w - 180, g*y - 4*y = 5*w - 291. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40449 is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j**2 - 9*j**2 + 3*j**2 + 415*j - 415*j + 4*j**2.\nAnswer: -26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*i*w**4 + 108*i - 2*w**4 + 4*w wrt w.\nAnswer: -12*i*w**3 - 8*w**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 + 16*h**2 + 6*h - 6. Calculate b(-7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11092752 by 1848792.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -31*r - 4. Let d(a) = -1426*a - 186. Let x(y) = -2*d(y) + 93*g(y). Let q(h) = -12*h**2. Determine q(x(l)).\nAnswer: -11532*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119963 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -601 or -2998\/5?\nAnswer: -2998\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 901817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1646677018?\nAnswer: 2, 7, 17, 239, 28949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 6. Let i(c) = c + c**3 - 3*c**2 + w + 0*c + 2*c**2. Is i(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 105 + -1?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2034 and 17496?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2911722840 take away 1.914?\nAnswer: -2911722841.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 164268001*u**2 - 34326331.\nAnswer: 328536002*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grgrsiiiirii. Give prob of picking 1 i and 1 r.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 + 5*l - 10. Determine k(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**4\/8 - 12*z**2 + 1. Let n(y) = 2*y + 3*y - 6*y. Determine p(n(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 37. List the prime factors of q(-9).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 776048173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2541 + -1?\nAnswer: 2540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -417 times 0.0785\nAnswer: -32.7345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1454789\/17 or 85575?\nAnswer: 1454789\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -833824537872 and -1?\nAnswer: 833824537871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 362*v**2 + 14842*v + 7. Determine q(-41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -560 + 659. Let a(l) = 6*l**2 + 3*l - 8. Let r be a(4). Do n and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-6)*0*(-3)\/6. Solve h - 5*n - 21 + 2 = u, -25 = -4*h + 3*n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -66?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4979814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y - 12. Suppose y*n + 0 = 16. Let o(p) = -p + n*p - 2*p. Let t(x) = -4*x. Give t(o(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (4320\/100 - -23)\/(2\/110) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155441 divided by 155441\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10030 and 236?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1981.72 millilitres?\nAnswer: 1.98172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w + 13567 - 15829 = -14*w + 24*w for w.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.02 - -4.0653. Let s = -0.045300401 + v. Round s to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1285*h**5 + 2*h**4 + 2*h + 469 wrt h.\nAnswer: 25700*h**3 + 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, r: 7}. What is prob of sequence yr?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = g, 2*d - 156 - 25 = g. Find the third derivative of -4013*r**4 + d*r**2 + 4209*r**4 + 79*r**2 wrt r.\nAnswer: 4704*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.02 or -137449?\nAnswer: -137449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 149083240 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -1 - 0 - 18) + (30 - (37 + 3))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 9*m + 5*p = 692, 0 = -3*m - 3*p + 2136. Calculate the remainder when m is divided by 91.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7426 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 + 52641326341*h - 52641326341*h.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 12\/(-25))*((-782)\/(-136) + -6)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6106*u + 2038*u + 2038*u - 3159 + 2032*u in the form c*u + m and give m.\nAnswer: -3159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*v**2 + v**3 + 6 - 3 + 70*v**2 - 2*v wrt v?\nAnswer: 6*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -15*h + 4*h + 120 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 25, 24, 23, 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 2. Let w be (-434)\/(-9) - 4\/18. Let u = w + -24. Let j be (-1)\/4 - 138\/u. Calculate x(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2290*y**3 - 1870 wrt y.\nAnswer: 6870*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048898 rounded to 4 dps?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 105, 155, 205, 255?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 15) to base 4\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**6\/10 + 9*q**5\/10 - 15*q**4\/4 + 4*q**3 + 41*q. Factor c(a).\nAnswer: 3*a*(a - 1)**2*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 5*p**2 + 5*p - 1. Let t(j) = j**3 - 6*j**2 - 5*j - 9. Let n be t(7). What is the remainder when 70 is divided by g(n)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4809*m**2 + 3 - 4785*m**2 - 3 + 10*m**2 - m**2 + 23*m**2 + 2 - 2 - 2*m**2 + (4 + 0 - 2)*(-m**2 + 1 - 1).\nAnswer: 52*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25643 is divided by 8541.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 2233302322 (base 4) in base 8?\nAnswer: 2576272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**4\/12 + y. Let s(p) = 9*p - 3 + 2 + 1. Calculate s(o(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 762*t + 59763. Determine d(89).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/44 and -67\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 - 606*y**3 - 1830*y**2 - 1834*y - 612.\nAnswer: 2*(y - 306)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 - 54\/4. Let q = 1203 - 1183. Let i = q + h. What is the remainder when 46 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + (5 - 6) + -9 + -4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 61140772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-2\/9)*x))**6\/(x\/x**8*x*x**1) assuming x is positive.\nAnswer: x**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1722530495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p + 20*p - 14*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-14) + (-46)\/(-161). Factor 1\/2*q**3 + 7\/4*q + a + 7\/4*q**2.\nAnswer: (q + 1)*(q + 2)*(2*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4901290 rounded to the nearest one hundred thousand?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a factor of 14267500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1432 (base 6) in base 5?\nAnswer: -3010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/4, -5, -3\/7.\nAnswer: -5, -2, -3\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 50 = -5*d + 528, 92 = d - 2*j. Let t = d - 47. Find the first derivative of -20 - t*w + 0 + 19*w wrt w.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 18 = 4*s - 2, 2*s + 8 = -2*c. Suppose c = 17*l - 33*l - 128. Sort 5, 2, l.\nAnswer: l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 291631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -113*l - 1354. Determine y(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1029873 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 91. Calculate the remainder when h(-40) is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*d + 56*d - 99 = 71 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4143*o**2 - 9257*o + 1936. Determine w(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 1315650*y + 474282000.\nAnswer: -5*(y - 360)*(y + 263490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.767 minus -108704717?\nAnswer: 108704716.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -148 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(12\/7)*(z\/(z**(-4\/5)*z))\/(z*z**(-6)))**(-8\/3) assuming z is positive.\nAnswer: z**(-2584\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40.5 + 34. Let s = 0.4 - -6.6. Let f = s + j. Which is the third biggest value? (a) 0.4 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 17*q - 256. Let h be a(27). Suppose -3*t + 112 = 400. Is (t\/h)\/((-1)\/7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 9. Calculate the remainder when -1*(-21 + -4 + 9) is divided by h(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1054340 to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 - j**3 - j**3 + (0*j + 0*j + 2*j**2)*(-j + 2*j + j) + j**3 - 2*j**3 + 0*j**3 - 2*j**3 + 3*j**3 + j**3 - 11349*j**3 + 17117*j**3 + 28938*j**3.\nAnswer: 34712*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12502114661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, q: 6, w: 5}. Give prob of sequence tqww.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7474*c + 3. Let y be w(0). Factor 49\/2*j**y - 189\/2 - 1071\/2*j**2 + 891\/2*j.\nAnswer: (j - 21)*(7*j - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2749 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 7 = -13. Suppose 5*j - 178 = -3*b, 3*j + 145 - 39 = d*b. Calculate the highest common factor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - -34815?\nAnswer: 34803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 756, 765, 788, 831, 900?\n\"Answer: g**3 + g**2 - g + 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -951\/151 - -29729\/9060. What is the common denominator of -109\/12 and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 1, -1, -4, 709, -2.\nAnswer: -4, -2, -1, 1, 2, 5, 709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7654 and 356.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -166, -418, -772?\nAnswer: -1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 15 = 7*v + 13 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84*0.03.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 103 = -4*s + 6*s, 5*g - s - 174 = 0. Suppose -5*u = -3*o + 2*o - 513, 5*u - 4*o = 507. What is the remainder when u is divided by g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 653 = -4*u - 576, u - 4*h = 16. Solve -34*m + 30*m + u = -4*g, 2*m = -g + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v**3 + 4*v**3 + 0*v**3)*(1 - 2 + 3) + 500*v**2 - 124*v**2 + 9*v**3 + 87*v**2 to the form o*v**2 + z*v + m*v**3 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -21*j**2 + 18*j + 3. Let f(v) = 41*v**2 - 30*v - 5. Let u(t) = 3*f(t) + 5*k(t). Let s(w) = -31*w. Determine u(s(g)).\nAnswer: 17298*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 9*i**2 + 5*i - 9. Let z = -8 + 17. Calculate the remainder when t(z) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8229736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(4 - 4 + z + 2).\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 91*y - 117. What are the prime factors of w(11)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824912 is divided by 412454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.8, -6, 0.5, 0, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + ((sqrt(76) + -2 - sqrt(76))*6)**2 + -5 + -5).\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(11) - sqrt(891)*1)*-6)**2.\nAnswer: 633600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmll when four letters picked without replacement from {v: 1, i: 1, m: 3, l: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 651 - 2233?\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = -9*u - 33 - 61 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-1 - (-1)\/1. Let p = 1894 + -17044\/9. Which is greater: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2906.8 - -2909.8. Let i = -0.05 - -5.05. What is the third biggest value in 6, 1, d, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1368114 rounded to 3 dps?\nAnswer: 0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42714 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 702 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4 - 272877*x**3 + 21029088*x**2 - 20756208*x = 0. Calculate x.\nAnswer: -91036, 0, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3+-0.06\nAnswer: -3.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 150*u. Let p be j(1). Suppose -4*r = -p - 146. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10125)\/(-4950))\/((-20)\/(-22))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 10*i**3 + 5 - 8861*i + 8867*i - 11. Let j(t) = t**3 - t + 1. What is 6*j(b) + o(b)?\nAnswer: -4*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.91 - 0.81. What is the nearest to q in -0.4, 0.11, 5\/3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -48*v**5 + 980*v**4 - 3220*v**3 - 2900*v**2 + 2308*v + 960 = 0.\nAnswer: -1, -1\/3, 3\/4, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1446*b**3 - 92*b**3 - 121*b**3.\nAnswer: 1233*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 193620685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222 and 592?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-506)\/(-253) - -347*17 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -14 - 3*g**2 + 14 + 0*g**2. Let s(i) = -3*i**2 + 3. Let r(y) = -1. Let x(n) = 3*r(n) + s(n). Determine q(x(u)).\nAnswer: -27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-750)\/(673\/4020 + (-15)\/90). What is h rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*j - 29. Calculate the smallest common multiple of j and 36\/21 + (-8)\/(-28).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5 + sqrt(288)*-4 + -3 + (sqrt(288) - (sqrt(288) - -4*sqrt(288)))*1)**2.\nAnswer: -576*sqrt(2) + 18441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -4 (b) 0.3 (c) 0.2 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-1) - (-85330)\/(-6095)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11624837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16641 + 32829 = 43*a + 14597 for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 100*z + 68. What is c(97)?\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 - -0.16481049599068.\nAnswer: -0.43518950400932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - (1\/(-4) + ((-19539)\/(-36))\/(-13)). Solve -p*b = b - 148 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 1, y: 2}. What is prob of picking 2 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4645*k - 4338*k - 11359 = 0 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 + 10*n. Let m(p) = -6*p**2 - 3*p**3 + 6*p**2 - 10*p. Let y(w) = -6*g(w) - 5*m(w). What is the second derivative of y(d) wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d. Let s(f) be the first derivative of -f**3 - 5. Determine s(p(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.01 + -23. Sort -1\/4, 1\/2, w, -0.3 in increasing order.\nAnswer: -0.3, -1\/4, w, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 30) + 3 + -8.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 161 = -271. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77279159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -60*w + 1493. What is k(25)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22572 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.2 + 9. Let c = -0.09 + -0.01. Let t = 0.4 - c. Sort 1, m, t.\nAnswer: m, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.30124 and 4.7.\nAnswer: -1.415828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(132) - (sqrt(132) - -3*sqrt(132))) - sqrt(132) - sqrt(132)) + sqrt(132) - sqrt(132))\/((-2*sqrt(72))\/sqrt(6) + sqrt(12)).\nAnswer: 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 23. Solve 2*l = -8 - w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p = -f + 7, -5*f = p - 59. Let q be (30\/f)\/(1\/60). Is 150 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 48*d - 5. What is the units digit of l(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 = -20. Calculate the remainder when 71 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 176590961\/3570 - 247326\/5. Calculate the common denominator of 97\/60 and z.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*r = -8, 0 = -3*h - 6*r + 5*r + 12. Solve 2*v - 4*v + h = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 763 - 760. Let j = 5 - 9. Which is the nearest to 2? (a) 2\/15 (b) j (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - d**3 + 3 - 4*d + d. Let t be g(0). Solve u = -t*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*d - 1039 = -83*d - 139. Let p(i) = -i**2 + 11*i + 2. Let r be p(11). Suppose -5*l + 0*l + 18 = 2*w, r*w - 3*l = 18. Solve -4*k - d = -w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5800 and 28507.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q - 3*q + q**4 + 0*q**4 - 4*q**4 + 2*q**4 + (-4*q + 3*q + 2*q)*(-4*q**3 - 3*q**3 + 5*q**3) - q + q - q**4 - 6*q**4 + 5*q**4 - 3*q**2 + 5*q**3 - 7*q**3.\nAnswer: -5*q**4 - 2*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -55, -28, 29, 128, 281, 500, 797, 1184?\n\"Answer: 2*v**3 + 3*v**2 + 4*v - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 463797. Let v(b) = 3*b**2 + 5. Determine m(v(c)).\nAnswer: 3*c**2 + 463802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 17*g**2 - 9*g - 43. Is v(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z**4\/7 - 80*z**3\/7 - 66*z**2\/7 - 18*z\/7 = 0.\nAnswer: -1, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 8*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 820 - 485. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.053 times 70.42494\nAnswer: -3.73252182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1213 by -208089.\nAnswer: -1213\/208089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**2 - 26*l**2 - 37*l**2 + l**3 to the form i*l**3 + g*l**2 + o*l + u and give g.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -7. Let s(i) = -i + 9. Let n be s(q). What is the second derivative of -g**3 + g + g + n*g wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364338 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -5\/14737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 6 + 1 - 6 + 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-3*w**2 + 4*w**3 - w**2 + 2*w**2 - w).\nAnswer: -4*w**3 + 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 40*x**2. Let p(v) = -22*v + 6*v**2 + 22*v - 3*v**2. What is t(p(w))?\nAnswer: 360*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -486*i*n**2*p - 2*i*n**2 - n**2*p - 229*n**2 wrt i.\nAnswer: -486*n**2*p - 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 149978243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 22*x**2 + 18*x + 20. Let y be f(-23). Let o = -48 + y. Suppose 234 = 3*u - o. What are the prime factors of u?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/2 - 987*w\/2 + 6811 = 0. What is w?\nAnswer: 14, 973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from habb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24727224\/5*x - 5018892*x**2 - 1821\/5*x**4 + 0 - 3\/5*x**5 - 369054\/5*x**3.\nAnswer: -3*x*(x + 1)*(x + 202)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*v - 53 + 18 = 0, -20 = -4*v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + (sqrt(240)\/sqrt(4))\/sqrt(12) + 4 + -1) + 3)**2.\nAnswer: -20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*f**3 - 198*f**3 - 244*f**3.\nAnswer: -551*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29343 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 2\/11, 10.8, 9?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmvh when four letters picked without replacement from {v: 1, g: 1, m: 1, t: 1, d: 2, h: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64149?\nAnswer: 3, 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-2)*(-5)\/(-2). Let n = -87.8 + 88. What is the biggest value in -4\/5, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**3*x**3 + 4000*v**3*x**2 - 7765*v**2*x - v*x**3 + x wrt v.\nAnswer: -6*x**3 + 24000*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 15*l**2 - 4*l - 4. Is i(-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/(-3) + (-5)\/(-15)*1. Let s = 5 - x. Suppose 3*m + 3 = 0, -3*m + s = 4*a - 8*m. Solve 5*u + l - 20 = 0, -2*u + l + 2 = a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013860342 rounded to 6 decimal places?\nAnswer: -0.000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 313\/4, -3 in ascending order.\nAnswer: -3, -1\/6, 313\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 172*m - 1191. Determine n(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 68. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 9*l = 30*l - 16*l + 147, -l + 534 = 45*d + l for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9549\/(-28647)*(-6)\/(-160)?\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 1251451.\nAnswer: -2502902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 438162, -2 in decreasing order.\nAnswer: 438162, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*h**2*o**4 - h**2*o + 8217680*h*o**2 + h - 959984*o**5 wrt o?\nAnswer: 192*h**2*o - 57599040*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5682420 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(171) + 0)**2 + (sqrt(684) - (-1*sqrt(684)*2)**2).\nAnswer: -2564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 11:36 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*r**2 - 5 - 13*r + 15*r + 5.\nAnswer: -72*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 995 and 44549135?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/8852, -0.5, -1, -3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -592 by -55.\nAnswer: 592\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -33, -88, -169, -276, -409?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110001 + 10?\nAnswer: -102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*a - a + 0*a)*(-5*a + 3*a**3 - 2 + 5*a) as m*a**2 + u*a**3 + t*a**4 + i*a + c and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 62972 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hddh when four letters picked without replacement from {h: 5, d: 8}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (3 + 16\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*a - 32 = 0, -4*a - 19 + 59 = -4*r. Let t = r - -30. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4528*f**3 + 464128*f + 1053696 + 212800\/3*f**2 + 128*f**4 + 4\/3*f**5 = 0.\nAnswer: -28, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 90*t - 85.\nAnswer: -5*(t - 17)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 (base 6) in base 7?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*b - 85, 2*z + 632 = -5*b + 673 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 409 + -441. Is -36 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 1\/2 (c) -0.9 (d) -2858 (e) -2\/3 (f) 3\/5 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 43\/(1 + (-1 - -1)). Suppose -5*f + 198 = x. Suppose 36*a = f*a - 7850. What is a rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - 3*f**2 + 5 + 0 - 4. Let w(p) = -14*p**2 + 6*p + 16. Let b(y) = -20*y**2 + 8*y + 24. Let j(u) = 5*b(u) - 7*w(u). Give -6*g(a) + j(a).\nAnswer: 4*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*m + 75 = 209*m. Suppose 5*f - 18 - 27 = 0. Calculate the remainder when f is divided by (m\/3)\/(-15)*-18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2784 - -2812. Solve -7*r - 147 = -d*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 9*q**2 - 6*q - 16. Let d be r(8). Suppose d = 4*t - 10 - 6. What is the fourth smallest value in t, -2\/9, 1\/3, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2\/6 + 49778081*n\/6 - 4977808\/3.\nAnswer: -(n - 9955616)*(5*n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(3 + -2)*(-1 + -112). Let w = 903\/8 - y. Put w, -1\/3, 0.3, 5 in descending order.\nAnswer: 5, 0.3, w, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**5\/9 - 5*l**4\/3 - 31*l**3\/3 - 137*l**2\/9 - 20*l\/3 = 0.\nAnswer: -3, -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0)*(-1 + 0 + 3)*(-6 + 19 + 7)*(3 - 3 + 4*t).\nAnswer: 160*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3301, -5, -1 in descending order.\nAnswer: 3301, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -71, -244, -565, -1082, -1843?\nAnswer: -2896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/2420 and 151\/1452?\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1245469, 2507193, 3768905, 5030599, 6292269, 7553909, 8815513, 10077075?\n\"Answer: -j**3 + 1261731*j - 16261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*p = 3*c - 2318881, 5*c + p - 3864819 = 0. Suppose c = -2*d - 1367037. Round d to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 30. Let t = 0.83 + -4.83. Sort -2\/5, t, j, -1 in ascending order.\nAnswer: t, -1, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(0 + (15\/(-6) - -3)). Suppose -3*k + 3*d = 3, d = -4*k - v*d + 16. Sort 1, -7, 5, k.\nAnswer: -7, 1, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*i = -19 - 113 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-4.376.\nAnswer: 0.4376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60223903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3324083.\nAnswer: 7, 79, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1964 divided by 1.\nAnswer: -1964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 2*y + 2*y. Let f = -79\/4 - y. Let m = -0.7 - -1.2. What is the second smallest value in -2\/15, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33 + -63363?\nAnswer: -63330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 8061227?\nAnswer: 8061233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112201 + -10?\nAnswer: 112131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11915, 43207, 95361, 168377, 262255, 376995?\nAnswer: 512597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 683273819 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/12*4 + 1. Suppose -3*o = -0*o - 57. Suppose g = o + p. Calculate the remainder when g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 45 (b) -21 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -715 - -715.461. Let h = 0.041 - o. Let v = 0.45 + h. Which is bigger: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 0.1 (c) 3\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -2)*(36 + -4). Suppose -t = -4*w - 2*n, 2*w - 2*n - 13 = 13. Let p(c) = 15*c**2. Let y be p(-1). Calculate the highest common divisor of w and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 75. What is the greatest common factor of j and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x - 14. Let y = 6770 + -6777. Calculate d(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (110\/264)\/((-2)\/6)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osnrnrnnrrnriinri. What is prob of picking 1 s and 2 n?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(2)*2) + sqrt(19))*2.\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23381, 23382, 23383?\nAnswer: 23384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, b: 2, g: 3, e: 2, v: 1, h: 1}. What is prob of picking 1 h, 1 b, and 1 v?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -8 (b) 4 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/33 + 0 + 0. Let q = -56\/165 + v. What is the common denominator of q and -1 + 2 - (-96)\/(-22)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + q**2 + 7*q - 4. What is p(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x + 3*d - 3 = -35*x, -3*x + 3*d - 27 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -12. Suppose 2*j - 3*n + 1 = x, -5*j - n - 1 = -24. Let -1\/4*h**2 + 0 - 1\/2*h**j - 3\/4*h**3 + 0*h = 0. What is h?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 5*t**2 + 4. Let q be c(5). Suppose 0 = q*j + j - 40. List the prime factors of 4\/j - (-250)\/4.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -5*i - 17, 15*j + 20 = 10*j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017962946 to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 16.81 days?\nAnswer: 403.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39866 divided by 643?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1008 and 31\/2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 185058755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -218136908*v*w**3 - 55*v*w**2 - v - 100884*w**2 wrt w.\nAnswer: -1308821448*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2890*s**2 + 962*s**2 - 5 - s - s**3 + 968*s**2 + 963*s**2 as l*s**2 + c*s + j + y*s**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l - 2*l + 3*l + 3 with respect to l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9812324 and 3742834?\nAnswer: 13555158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (171 - 171 - r**2)*(-3*r + r + 0*r) + (-r - 2*r + r)*(3*r - 3*r + r)*(10 - 18 + 1)*(4 + r - 4).\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2619, -17\/2, -2\/5, -1\/5, 9 in increasing order.\nAnswer: -17\/2, -2\/5, -1\/5, 9, 2619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 6:02 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66423, 66222, 65885, 65412?\nAnswer: 64803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**3 - 4*c**3 + 2*c**3 - 2 - c**2 + (-1 - 1 + 1)*(2 - 3 - 2)*(39*c - 97 + 97)*(3*c**2 + 3*c**2 - 4*c**2) as v*c**2 + s + y*c**3 + i*c and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 343 + -326. Suppose u*x = 11*x + 2328. List the prime factors of x.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*i - 14. Is 210\/5 - (0 - i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/4)\/(6\/8). Suppose -60 = 4*u - 7*u. Is f\/(-1 + 14\/u) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v - 28. Suppose 8 = v*g - 3*g. List the prime factors of (0 + (-33)\/(-6))*g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -17*u**6\/120 + u**5\/30 + u**3 - 19*u**2. Find the first derivative of x(q) wrt q.\nAnswer: -51*q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n - 231. Let a(i) = 18*i**2 + 11*i + 11. Let r(s) = 5*s**2 + 3*s + 3. Let o(t) = -6*a(t) + 22*r(t). What is o(l(m))?\nAnswer: 18*m**2 + 2772*m + 106722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 14. Let b be o(13). Suppose -2*p + 5*p = 3. What is the highest common factor of p and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*u**2 - 141*u**3 - 332*u**2 - u**2 - 1763*u**3 + 365*u**3 wrt u.\nAnswer: -9234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 + 80*l - 73. Let h(u) = -51*u**2 - 1281*u + 1167. Let d(z) = -35*z + 138. Let r be d(4). Let g(n) = r*h(n) - 33*q(n). Factor g(c).\nAnswer: 3*(c - 25)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1024 * -0.07\nAnswer: 0.007168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 + (-5 - 154\/(-21)). Suppose 0 = -v + 5*d - 0 + 7, -5*v = -a*d - 13. Find the third derivative of 7*b**v + 19*b**5 - 5 + 5 wrt b.\nAnswer: 1140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1054 and 2754.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -1. Let h(r) be the second derivative of r**3\/2 + 6*r**2 - 20*r. Let t be h(4). Calculate the highest common divisor of v and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 244\/2318 + 5\/(95\/30284)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476963396 divided by -86.\nAnswer: -5546086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 46*x + 4. Let z(j) = -136*j - 11. What is -8*s(u) - 3*z(u)?\nAnswer: 40*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -51*p**3 - 3*p**2 + 1. What are the prime factors of h(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3294 divided by -18\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-328 - -322) + 17*2251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2062116?\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 10 = -2*s + 10, -2 = x. Suppose s*z - 10 = -4*l, 0 = 2*l - 6*l + z - 2. Suppose l = 12*m - 13*m + 703. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 7*r - 12. What is m(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -169370, -169364, -169358, -169352, -169346?\n\"Answer: 6*w - 169376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o*o**(-2\/11))\/o))\/o)\/(o\/((o*o\/(o**(-8)*o*o))\/o))*o*o**(-5)*o*o**(-8) assuming o is positive.\nAnswer: o**(-64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooti when four letters picked without replacement from {o: 2, i: 1, b: 8, t: 4, d: 4, f: 1}.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, 3, 70, -28.91?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 3. Let c be j(1). Let d = 1 - c. Suppose 0 = -4*i + 2*i - d*b + 215, b = 5*i - 497. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2758, 5586, 8414, 11242, 14070, 16898?\nAnswer: 19726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 26*b + 35*b - 69*b. Let z(x) = 3*x**2 + 6. Give z(t(p)).\nAnswer: 192*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4738409.\nAnswer: 13, 389, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57 - -2 - (-81 + 90)) + 31?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -154618*m - 309234. Give r(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -1404331141?\nAnswer: 1404331143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 29*y**2 + 10*y + 9. Is p(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(1331) + (sqrt(22) + sqrt(22)*-1)\/sqrt(2)) + (sqrt(77)\/sqrt(252) - (sqrt(11) - (sqrt(11) - 2*-2*sqrt(11))))**2.\nAnswer: 6875\/36 + 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -8*i + 50 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 3*d + 0*d)*((-2 - 3 + 6)*(-6*d + 3*d + 0*d) - 3 + 2*d + 3 - 6 + 6 + 5*d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 1. Let h(o) = 5*o**2 + 3*o - 4. Let k(m) = h(m) + 6*j(m). Let r(w) be the first derivative of k(w). Differentiate r(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {y: 1, w: 2, q: 5, z: 11}.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a78 (base 14) to base 7.\nAnswer: 53011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = x + 4*z, -3*x + 3*z = -2*z + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127652780?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 48.35609 decades?\nAnswer: 5802.7308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.33 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27984 divided by 16.\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + 20. Suppose -2*q - 6 = 0, u - 5*q = -0*u + m. Is u a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(130)\/(sqrt(60)\/(sqrt(294) - sqrt(6))))*5.\nAnswer: -20 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 - -0.01. Let i be ((-184)\/48 + 4)*(-4)\/(-3). Sort 0.2, i, -3, p in increasing order.\nAnswer: -3, p, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, z: 2, f: 1, m: 5, s: 1}. What is prob of sequence uz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 42*c**2 + 355*c - 118. What is the remainder when 642 is divided by x(31)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -7, -0.5, -17, -1, -3\/76?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000250504928 to 6 dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 10 = 5*z, 4*k = 3*z - 0*z + 52. Let p be ((-2)\/(-6))\/(k\/20). Let -2\/3*d**2 + 2\/3*d**3 - 2\/3*d + p*d**4 + 0 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 86\/(-1118) + (-5461)\/(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.3 minus 46256.6842306?\nAnswer: -46306.9842306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-275)\/(-1) + -29 + 25. Let z = u + -144. Let t = z + -90. List the prime factors of t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -852 and -1?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 44*c**2 + 14*c - 14. Let o(q) = -15*q**2 - 5*q + 5. Let s(g) = 5*k(g) + 14*o(g). Let i(a) = -a**2. Give i(s(n)).\nAnswer: -100*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347 + 135 = -h - 180 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 + -123.4. Let h = j + -1.7. Which is the second biggest value? (a) h (b) -2\/19 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -3 + -1)**2 - (((-4*sqrt(171))**2 - sqrt(171)) + 5).\nAnswer: -2554 - 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 1. Let d(a) = 14*a**3 - a - 4. Let q(g) = d(g) - 4*l(g). Calculate q(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/27 and 7\/82*16\/(-12)*300\/(-1575)?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412640?\nAnswer: 2, 5, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 - 8*m**3 - 65*m**2.\nAnswer: m**2*(m - 13)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + 1250000 + 7 - 1. What is u rounded to the nearest ten thousand?\nAnswer: 1250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 34. Suppose s - 102 = 3*s + 3*i, 0 = -5*s - f*i - 262. Let a = s + 102. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082243.7396 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - ((-21)\/7 - 193647) - -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 566.1102um to meters.\nAnswer: 0.0005661102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 s when three letters picked without replacement from zrzrs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d - 10412 = 10374 - 20822. Let -6 - 15\/2*w - 9\/2*w**4 + 57\/2*w**2 - 21\/2*w**d = 0. What is w?\nAnswer: -4, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l*l**(-2\/13)))\/((l\/l**(-2\/9))\/l*l))\/(l**(-3)*l**(2\/5)*l*l*l))\/((l*l*l\/l**(-1)*l)**(-8\/7)\/(l**(2\/3))**(-28)) assuming l is positive.\nAnswer: l**(-54958\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= 31.5733582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q - 162 = 0. Calculate the remainder when (q\/(-6))\/(1\/(-2)) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1276186*u - 54 + 1276187*u + 0 + (1 + 1 + 0)*(-2*u - 4*u + 4*u))*(-4 - 2 + 5)*(1 - 3 + 3)*(3 - 1 - 3) in the form k + f*u and give k.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (476\/(-306))\/(5733\/(-702))\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6349 + 17*y**2 - 6349 + 197*y**2 + 140*y - 70*y**4 + 6*y**3 - 2*y**5 = 0. Calculate y.\nAnswer: -35, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(1539) + -3 + sqrt(1539))**2 + sqrt(19) + 0.\nAnswer: -106*sqrt(19) + 6165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*((2*(-1*sqrt(931) + sqrt(931)) + sqrt(931))*-2 - 5*(1 + sqrt(931) + 0 + sqrt(931)))**2*-2*2.\nAnswer: 67200*sqrt(19) + 10727120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y + 8. Let d be i(3). Let q = 40 - d. Which is the second biggest value? (a) -4 (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 3) to base 7\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -30. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957 is divided by 918?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**2 - 9*u - 6. Let m(d) = d**3 + d**2. Let c(i) = -a(i) - m(i). What is the units digit of c(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 168024891, 168024890, 168024889?\n\"Answer: -g + 168024892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 2608565887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 15. Let l(d) be the first derivative of -d**4\/4 - 2*d**3 - 7*d**2\/2 - 6*d - 100. Is 4 a factor of l(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2287*s - 160*s**2 - 2287*s.\nAnswer: -160*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -641, -1483, -2941, -5219, -8521?\nAnswer: -13051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130588902*c**3 + 186643352*c?\nAnswer: -783533412*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-378 - 0)*(-201 + 141905\/707).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9904087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 618 and 33?\nAnswer: 6798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**2 - 14*n**2 + 4*n**2. Let s(l) = -3*l - 4. Let m(q) = -2. Let z(w) = 4*m(w) - 2*s(w). Give d(z(b)).\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**3 - 54*h**2 - 189*h + 39. Let l be r(-14). What is the greatest common divisor of l and 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 20, -135*x + 138*x = -3*u + 6. Solve 0 = 8*i + u + 25 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*k = 30, -10*x + 5*x - 34 = -k for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -982 (base 11) to base 12\nAnswer: -823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 1. Let r = -1 + b. Let k(n) = -n**3 - n**2 - n. Let w be k(-1). Which is smaller: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*h - 5*j - 24, 5*j + 14 = -3*h. Let y be ((-15)\/20)\/(h\/(-8)). Suppose 0 = n - y*u - 5, 4*n + 4 - 40 = 4*u. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 2*q + 3. Let a be x(2). Suppose -a = -3*h + 5. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5\/3 - 7684*x**4\/3 + 7456906*x**3\/3 - 146780312*x**2\/3 + 224269864*x - 272676768 = 0?\nAnswer: 2, 4, 14, 1911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/6 and 51345\/(-12645) + 8*(-3)\/(-6).\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 120\/(-9)*(-24)\/16. Let m(k) = -k + 40. Let t be m(y). Let b be 1\/(2\/(-6)*-1). Solve -d - t = b*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -47. Let j be 12 + 4 + -1 + -6. Suppose -12*k = -j*k - 96. Calculate the least common multiple of r and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/9, 10, 1190.\nAnswer: -1, 2\/9, 10, 1190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/2)*v*v**(2\/17))\/(v*v**(-1\/2))**(1\/18)*(v*v**3*v*v*v**(-3\/5)*v*v*v)\/(v*(v\/v**(-2\/3))\/v)**(3\/2) assuming v is positive.\nAnswer: v**(25979\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, z: 5, x: 4, y: 3, r: 1, a: 4}. What is prob of picking 1 r and 1 y?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 11:31 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 608 and 1444?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984796726?\nAnswer: 2, 149, 3304687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4887.194ml to litres.\nAnswer: 4.887194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2)*(120*x + 2 - 119*x + 15*x**4 - 14*x**4 - 10*x**2) to the form h*x**3 + l + t*x**4 + q*x + b*x**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -84? (a) -4\/5 (b) -1\/256 (c) -1\/4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158817.\nAnswer: 3, 167, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302.5595 centuries to decades.\nAnswer: 3025.595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-51)\/(-7) + 4\/(-14). Let i(y) = y**3 - 14*y**2 + 18*y - 9. Let j be i(13). Calculate the highest common divisor of j and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - l - l = -4, -r + 4*l = 8. Let w(o) = 3*o + 2 + r - 4*o - 6*o. Determine w(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 0 + 31 + -27 + -586 + 589?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15129\/284 + -3147179\/11644. Let z = 217 + o. Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2))**40*(l*l**(10\/9)*l)\/(l**8\/l*l) assuming l is positive.\nAnswer: l**(1036\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1764 is divided by 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1098 + -1097. Let u be 0\/(-1) - (-168)\/88. Which is the third smallest value? (a) u (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 7. Let l be c(7). Let n = -7973.94 - -8056. Let a = n - 82. Is a equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 76. Let i = -87 + u. Let o = i - -54. Which is the third biggest value? (a) o (b) -2 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5008.034164 to the nearest integer.\nAnswer: -5008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1150.4029 - 1149.4. Let q = o + -1. Round q to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 680 + -680.4. Let v = -3 + 5. Let j = -1 + v. Which is the second smallest value? (a) 0.5 (b) y (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 21. Suppose y - 2*y = -k. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12550996 - 5325800 = 0. Suppose -4*j + s + 3314420 = 0. Let r = -2171662 - j. What is r rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 8*m + 3*m = 130, -2*l + 3*m + 51 = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2701980 and 105960.\nAnswer: 5403960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -169 - -163. Let x(i) = -98*i + 134. Let g(t) = 294*t - 404. Let n(c) = p*g(c) - 17*x(c). What is the derivative of n(v) wrt v?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddddddddddffddd. What is prob of sequence df?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28465 divided by 5.\nAnswer: 5693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-38)\/k))**(-34\/7)*(k\/(k\/((k*k**(-7)*k)\/k*k)))\/(k*k*k**(-3\/44)) assuming k is positive.\nAnswer: k**(-61975\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.06 + 2.96. Sort 4, 3, c in descending order.\nAnswer: 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-561)\/(-85))\/((-2)\/(-20)). Is n\/4*(-48)\/(-9) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102783*x**4 - 102785*x**4 + x**2 - 18 + 1 + 33*x**3 to a + w*x**2 + g*x + v*x**4 + k*x**3 and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/25)*p)**(-37)\/((p**(-1\/10)\/p)\/p**10) assuming p is positive.\nAnswer: p**(-2997\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (566\/16414)\/(4\/(-8))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 3973 = -102*z + 2949 - 201 for z.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 177867620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/65)\/(2*(-2)\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -50 in 0, 1, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*(0 - 60\/24).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -24, 8 in decreasing order.\nAnswer: 8, 3, 2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-12)\/8)\/(-3*2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248680713.\nAnswer: 3, 29, 47, 61, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**3 - 3819*s**2 - 5709*s + 3810.\nAnswer: -3*(s + 2)*(s + 635)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (17 - 12 - 10 - -4) + 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 455 + -441. What is the smallest common multiple of 140 and (8\/d)\/(30\/1470)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 + 4 + -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m + 7. Calculate the remainder when 133 is divided by v(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/21*(-2800962)\/27*(-72)\/32 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4243960 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.993 + 4.993. Which is the second smallest value? (a) 1\/8 (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10421186773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 3:09 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 22.13. Let l(j) = -j**3 + 48*j**2 + 44*j - 204. Let r be l(49). Let o = r + 453. What is the closest to 0 in o, i, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 2.64 (c) -1 (d) -0.1 (e) -3222 (f) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8864 >= 8865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d = -0*h + 5*h + 175, 0*d - 2*d + 0*h - 5*h = -d + 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/9 + 14608*z\/9 + 9877042\/9.\nAnswer: -2*(z - 7927)*(z + 623)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 8121.\nAnswer: 8121.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 57\/76*(-4)\/(-3). Let t = -3 + 2.8. What is the closest to t in s, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(126))\/sqrt(6) - -2*(sqrt(21)*3 - sqrt(21)))\/((sqrt(3) + ((sqrt(108)*5 - sqrt(108)) + sqrt(108) - sqrt(108)) + sqrt(3))*-3) + -1.\nAnswer: -1 - 5*sqrt(7)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17801, 83938, 194173, 348512, 546961, 789526, 1076213?\n\"Answer: p**3 + 22043*p**2 + p - 4244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013590187 to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110040.\nAnswer: 2, 3, 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 8*p**2 + 14*p + 13. What is j(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1111 - 1093. Calculate the greatest common factor of 3771 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 896433.1ug in tonnes?\nAnswer: 0.0000008964331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44352908*z**6 + 16562883*z**2 + 2.\nAnswer: -5322348960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-3)*22\/((-660)\/45)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6548 and 65480?\nAnswer: 65480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**3\/6 - 2*g**2 + 3*g. Let h(q) = -q + 5. Let p be h(5). Let d = p + 3. Give x(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16824171?\nAnswer: 3, 7, 13, 61627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4149744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*o - 4 + 0 - o**2 + 8 + o**3 + 28*o to the form i*o**3 + m + g*o**2 + q*o and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*n = 6541, -p + 375*n - 376*n = -1309. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 1, 5, 1255, 3 in descending order.\nAnswer: 1255, 5, 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -77, 2\/9, 2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*p - 3*f + 110, f + 96 = 3*p. Suppose 3*n = -15, 5*n - 4668 - p = -4*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/598 and -167\/2730.\nAnswer: 62790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-16))\/((-5)\/40*-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 15. Let n = c - -7.8. Is n >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1406951 at most -1406951?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 351, 842, 1603, 2676, 4103, 5926, 8187?\nAnswer: 10928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.1 + -1.9. Let i = 23 + s. Is i less than or equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(208)*2)**2.\nAnswer: 48*sqrt(13) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 57*0.46\nAnswer: 26.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 26044.08 months?\nAnswer: 21.7034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/7 + 8*h**3\/7 + 38*h**2\/7 + 4*h = 0 for h.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-42) - 9\/(882\/28).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732761783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + (sqrt(15)\/(sqrt(3) - sqrt(9)\/sqrt(3)*3)*5*-4)**2)*-2.\nAnswer: -1988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + (15 - 17 - -21 - 17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 15*o**2 - 38*o + 35. Determine h(-14).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 8, -27*p - 3*j = -29*p + 4780. List the prime factors of p.\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(48) + (sqrt(363) - sqrt(363)*1))**2.\nAnswer: 16*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 33*j - 20. Suppose -5*o + 65 = -5*g, 0 = 2*g - 5*g - 15. List the prime factors of s(o).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 106166716 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(2\/35)*i**15 assuming i is positive.\nAnswer: i**(562\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2368, 2371, 2374, 2377?\nAnswer: 2380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 4:10 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3)\/a**(-2\/3))**(-23)\/((a*a**(-2\/17)*a)\/(a\/(a\/(a\/(a**0*a))))*(a**(1\/2))**(5\/2)) assuming a is positive.\nAnswer: a**(-6895\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fokrq. What is prob of picking 1 k and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/35)*k*k)\/(k**(-11)\/k))\/(k**(-38)\/(k**(-1\/47)\/k)) assuming k is positive.\nAnswer: k**(83766\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -431\/660371?\nAnswer: -431\/660371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + l**2 - l + 3. Let m be v(0). Let c be 1\/((3\/(-30))\/(2\/(-4))). Solve 15 = -5*b + c*n, -5*b - m*n + n + 20 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25.48 and 0.082.\nAnswer: 2.08936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.2 - 8. Suppose -4*y - 2352 = -11*y. Let r = y + -301. Which is greater: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -9*i**2 + 14. Let k(t) = -263281*t - 3. Give k(u(w)).\nAnswer: 2369529*w**2 - 3685937","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Which is the second biggest value? (a) -2 (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + 322. Suppose -381 = 2*t - s. Solve -t*h - 4*h + 18 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + -17 + 23 + (4 - -5).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(sqrt(275) + (sqrt(275) - (sqrt(275)*5 + -1 - sqrt(275)))**2 + 0 + (-3*((-2 + -4 + sqrt(275) - sqrt(275)) + sqrt(275)))**2).\nAnswer: -565*sqrt(11) + 5275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1407 (b) 4\/3 (c) -0.1 (d) 4 (e) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -3671817\/8 and -458976 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x. Suppose 0 = -n + 3*v - 4*v, 0 = -2*v - 8. Let o(g) = n*g + 10*g - 12*g. Give o(j(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/35)*c*c\/c**0*(c\/(c\/(c*(c*c**(2\/7))\/c)*c))**(-15\/4) assuming c is positive.\nAnswer: c**(61\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 2*o - 14 = 18*k, 0 = 3*k - 4*o - 10. What is the thousands digit of 1724 + (-3 - (k - 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Suppose f*c - 2*g + 16 = 0, 0 = 4*c + 4*g - 11 + 3. What is the third biggest value in 0.3, c, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6322\/(-6) + 4\/(-12). Let t = 411 - h. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11853380 to the nearest integer?\nAnswer: 3443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 36*u + 22. Let t(a) = 5*a + 6. Let m(p) = -1. Let h(s) = 3*m(s) + t(s). Let r be 0 + 1 + (-344)\/(-8). Determine r*h(q) - 6*i(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 + (-6)\/9. Let k(w) = -w**2 - 12*w - 7. Let q be k(-11). Let p = q + l. Solve 5*z - 2*t + 3*t + 8 = 0, p*z + 10 = -2*t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 4:20 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38, -260, -848, -1988, -3866?\n\"Answer: -31*b**3 + 3*b**2 - 14*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpb when three letters picked without replacement from rpbrrxpxlrx?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*o = 24, 2*o + 43 = n + 34. Let j(z) be the first derivative of 20 + 16\/3*z**n - 3\/2*z**2 + 0*z. What is the second derivative of j(r) wrt r?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/5 of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and 693886909.\nAnswer: 693886903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 87842 * 0.5.\nAnswer: 43921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/15 + 52\/(-5). Let w = -11 - b. Solve w*t - t = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010010000 (base 2) to base 6\nAnswer: 5224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 + 3*k + 3. Let u be v(-1). Suppose -t = u*y - 6*t - 309, 3*y - 2*t - 223 = 0. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 9. Suppose -k*g = -4*s - 1 + 17, -s + 5*g + 4 = 0. Solve 2 = -s*v + 22 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 982 and 12.\nAnswer: 5892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - -1.35. Let q = -0.2 + i. Round q to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/58 and 3*(107\/66 - 0).\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.2 - 20.6. Let w = 0.2 + -0.3. Put w, 2\/5, v in ascending order.\nAnswer: v, w, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 13768 - 2*i - 13771 + 0*i**2 + 2*i**2. Let h(j) = j**3 - 3*j**2 - 4*j - 3. Let f be h(4). Give r(f).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22175553?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 22.44582 months?\nAnswer: 0.001870485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3679 + 1986. Let d = x - -1693.2393. Round d to two dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, -3, -3, -7, -15, -27, -43?\n\"Answer: -2*j**2 + 10*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1010 - -13132\/13. Which is the closest to -3? (a) 0 (b) m (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 3:22 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91631.724 + 2.\nAnswer: 91633.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*w - 3)*((-2 + 4 - 5)*(-w - w + 4*w) - 6*w + 2*w + 2*w + 2*w - 5*w + 2*w).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 1500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 379*b + 73160. Give s(-193).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4737961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2298 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 20, 4, -4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4450*v**4\/3 + 2895*v**3 + 1340*v**2 - 215*v\/3 = 0. Calculate v.\nAnswer: -1, 0, 43\/890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 630, 1049, 1468, 1887, 2306, 2725?\nAnswer: 3144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffeffrle. What is prob of sequence ee?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + 1*sqrt(896) - 4*sqrt(28)\/sqrt(2))\/(sqrt(7) - sqrt(1344)\/sqrt(3) - (sqrt(7) + sqrt(63)*-5)).\nAnswer: 5*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.9, -1\/4, 5, -7 in descending order.\nAnswer: 5, 0.9, 0.3, -1\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + i**2 + 1. Suppose 10 = -5*b - 15. Let y(v) = 6*v**3 - v**2 + 5. Let f(h) = b*u(h) + y(h). What is the third derivative of f(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 141*l**2. Let s(h) = 5*h. Give s(d(f)).\nAnswer: 705*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p + p)*(-2*p - 1 + 1)*(-17*p + 24 - 25 + 3*p**2 + 3*p**2).\nAnswer: -24*p**4 + 68*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - (2 - 6)) + 4.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 - 33*g**2 + 489*g - 172. Determine r(9).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*o**6 + 29*o**5 - 5*o**2 - 599*o + 2.\nAnswer: 3960*o**3 + 1740*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4 + l**3 + l + 7 + 4*l**2 - 4 + 8*l**2. Let z be k(-12). Suppose -3*r = 5*r - 104. Put z, 1, r in decreasing order.\nAnswer: r, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 76*q - 378. Give x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-15)*-10*(-12)\/(-48)*58.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -58, -45, -22, 11?\n\"Answer: 5*y**2 - 2*y - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2052) - sqrt(2052) - sqrt(2052)) + sqrt(2052))\/sqrt(3) + (sqrt(133)\/(-1*sqrt(28)\/sqrt(4)))**2.\nAnswer: -18*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y**3 - 9*y**2 + 6. Let a be (1\/3)\/((-21)\/(-378)). Let x(n) = n**3 + n**2 - 1. What is a*x(s) + l(s)?\nAnswer: -2*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19 - -4)*(-5)\/3. Suppose 2*w + 12 = -5*d + 57, w + 3*d - n = 0. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/81 - 34\/(-72)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 781 and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 greater than -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -743 - -741. Let i = -14 + 14. Let h = -67\/3 - -21. Sort h, g, i.\nAnswer: g, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(0 - (20\/15 + 33\/(-18))). Let n = -0.46 + 0.06. Which is the second biggest value? (a) 2\/13 (b) n (c) -0.01 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = 1036 - 1068 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 379228.1 centuries to years.\nAnswer: 37922810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19380 and 24510?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2481, 2480, 2479, 2478?\n\"Answer: -v + 2482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3392395.764998519 + -3392395.62. Let c = j - 0.145. Round c to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - (-38)\/(-10)) + 56\/120. Put -2\/13, f, 1\/5, -24 in ascending order.\nAnswer: -24, -2\/13, 1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f = 0. Suppose f = 2*h + 3 - 13. Suppose -h*c + r + 20 = -56, -2*c + 35 = -5*r. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*i - 24. Suppose 3*c - 5*c = 6. Is (25\/c)\/((-4)\/i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6987 or -5737?\nAnswer: -6987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*y**2 + 6*y**2 + 0*y**2 + (3 - 2*y - 3)*(2*y - 5*y + y))*(-4 - 1 + 4 + (-1 - 2 + 4)*(2 - 2 + 4)).\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2523*x**2 - 1130*x**2 - 617*x**2 + 1985*x**2.\nAnswer: 2761*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/31, -286\/19, -2\/7 in increasing order.\nAnswer: -286\/19, -2\/7, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 11 - 40 - 17*x - 52 - 20*x. Calculate the least common multiple of u(-3) and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t**3 - 7*t**3 + 3*t**3)*(31 - 3*t - 45 + 23) to m*t**4 + b + s*t + v*t**2 + d*t**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(70\/(-4))\/7. Suppose 4 + 6 = h*i. Solve -3*u - d = 2*u - 13, 10 = 2*u + i*d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**9)\/(t*(t\/t**(-18))\/t) assuming t is positive.\nAnswer: t**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -4. Which is the third biggest value? (a) i (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -87. Suppose -s = o*w - 15 + 5, 0 = -2*w - 2*s + 14. Solve -2*n - 17 = k + 2*k, w*k = 2*n - 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000547170487 to 7 dps.\nAnswer: 0.0005472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.161 (b) -1\/11 (c) -2 (d) -4\/5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 4, -2366, -54.\nAnswer: -2366, -54, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 720 and -217.5.\nAnswer: -156600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t = 55*t + 39, 80 = -2*p - t - 4*t + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 72, 5, 1\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 665868507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7477172201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -904\/7 or -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*u - 3083 = 1334, 0 = -2*l + 8*u + 1758. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*f - 17, 2*z = 2*f + 3*z - 23. Suppose f*c - 11*c = 15. Solve c*o + 2*b - 22 = b, 4*b + 27 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/11, 1297, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 less than 0.6?\nAnswer: -172.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -260913 - -595664. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.355 - -0.055. Let x = 0.01 - q. Put x, -5, 1 in ascending order.\nAnswer: -5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 15 + 29 - 15 - m**2. Calculate l(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 321 + 223 = 0. What is the nearest to z in 0.4, -0.5, -0.4, -6\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.169 at least 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8712362801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = w - 10, 0 = -2*w - c - 0 + 2. Let k be 0\/(-2*1\/(-2)). Let h be 6*(k + 2\/3). Solve h*a - 2 = w*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 9*b**2 + 2*b - 2. Suppose -5*h + 62*h + 162 = -351. What is f(h)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368\/16 - 328\/16?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -19 - 42991\nAnswer: -43010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.1 + 10. Let x = 3 + -4. Which is the third smallest value? (a) -4 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63518 and 1068.\nAnswer: 33918612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (675 - 681) + 28 + 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(396))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -29*b + 34*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 4*y - y)*(y**3 - y**3 + 2*y**4) + 1654*y**5 + 395*y**5 - 3880*y**5 - 4433*y**5 + 7.\nAnswer: -6262*y**5 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 310, 113, -3 in ascending order.\nAnswer: -3, 113, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10583 and -10927.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 - 1744 - 1184 - 1317 - 1135 + 1206 + 2*f in the form o*f**2 + d*f + n and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 12 + 17 - 29 + 2*w. Let m(y) = 9*y**2. Give f(m(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2538365?\nAnswer: 5, 507673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -1\/9, -150, 0.12, -0.4 in increasing order.\nAnswer: -150, -0.4, -1\/8, -1\/9, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -12*c + 2. Give z(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1296))\/sqrt(12).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -865?\nAnswer: -865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 54 = -5*v. Suppose 4 - v = 5*a. Let y(g) = g**3 + 6*g**2 - 3*g + 2. Does 16 divide y(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/25, 0.4, 3, 1, 1\/6, -2\/2409?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 21856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 775 + -1391. Let d = 762 + h. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 + 4.91. Let y be -4 + 645\/150 + (-1)\/2. Which is the nearest to y? (a) o (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3851 + 21033. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001110001202 + -1001?\nAnswer: 1001110000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2608610 divided by -521722\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 14 - 0. Solve -b - 2*q - 5 = -3*q, -5*q = -h*b - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.874 - 28.5. Round r to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21257313.\nAnswer: 3, 7, 11, 23, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 23.1, -2, -1\/6 in decreasing order.\nAnswer: 23.1, 0.1, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2618, 20776, 70148, 166340, 324958?\nAnswer: 561608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/7 (b) -1\/5 (c) 86297 (d) 3 (e) 5 (f) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10215a (base 12) in base 10?\nAnswer: -252502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(4\/(-2)) + -15. What are the prime factors of t\/10*(-20)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.265924 micrometers in kilometers?\nAnswer: 0.000000004265924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*f**2 - f**2 - 2*f**2 + 2*f**2 - f + f + 2*f**2 + (-1 - 2*f + 1)*(-1 - 2*f + 1) - 144*f + 144*f - 9*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 9:12 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7917499 smaller than 7917519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**2 - 129*d - 1080 = 0.\nAnswer: -120, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29531 or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100 + 103. What is the second derivative of 28*w**2 + 26*w**3 + 11*w - 77*w**2 - 27*w**g wrt w?\nAnswer: -6*w - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 331231033 (base 4) to base 16\nAnswer: 3db4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -8 + (5 - 1) - 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4)\/x)**(-40)\/(x\/x**1)**26)**20 assuming x is positive.\nAnswer: x**600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1222416, -2, -0.2 in ascending order.\nAnswer: -1222416, -2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32156904 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 126 + 29 + 7 - c + 13.\nAnswer: -c - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3727*h - 6225. Let m(r) = 3732*r + 6233. Let y(f) = 6*m(f) + 7*q(f). What is the derivative of y(w) wrt w?\nAnswer: -3697","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*4\/8 + -3. Is ((-38)\/3)\/(p\/42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7465 - -7457. What is the closest to -0.1 in -0.5, m, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/264 and 11\/240.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -14. Let s = t + 2. Calculate the smallest common multiple of 9 and (0 - s - 1) + -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 9:09 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -54412, 1\/5, -1\/9?\nAnswer: -54412","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 11 + -10 - (-7 + 1 + -2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/5 - 3*u**3\/5 + 7*u**2\/5 + 27*u\/5 + 18\/5 = 0. What is u?\nAnswer: -3, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1 = 9. Which is the nearest to 2? (a) 2\/7 (b) o (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 170981653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - -4*(-6)\/(-3). Solve -10 = -l*i + 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v - 20 = 0. Let u(s) = 0 - 2 - s - s**2 + 3*s. Let x be u(3). Sort v, 4, x.\nAnswer: x, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 10:56 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/7)\/(4\/28). Suppose -t*b - 2*b = -72. Let y = 30 - b. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11003 - -1320103031?\nAnswer: 1320032022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 w when four letters picked without replacement from {a: 7, w: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2460 and 3.\nAnswer: -2457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 35*k**3 - 9*k**2 + 5*k + 7. Let m(u) = -17*u**3 + 4*u**2 - 2*u - 3. What is -2*a(x) - 5*m(x)?\nAnswer: 15*x**3 - 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3076447.53 to the nearest one hundred.\nAnswer: -3076400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 3*u**2 + 5*u - 9. Let o be k(4). Let j(h) = -5*h**3 - 3*h**2 + 2. Let s(w) = 3*w**3 + 2*w**2 - 1. What is o*j(d) - 8*s(d)?\nAnswer: d**3 - d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 14*m**2 + 6*m - 20. List the prime factors of c(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17119\/4462 - 214\/97. Find the common denominator of -1\/216 and v.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 = -5*g + 158 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149482482 and 310936?\nAnswer: 597929928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 + 3*i**5 + 10*i**4 + 3*i**2 - 17*i**4 - 3*i**3.\nAnswer: 3*i**2*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 999 (b) -5\/2 (c) 0 (d) -0.3 (e) 1 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1258767 at most as big as -1258764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -256475 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*u = -60*u - 20. Solve -u*k - 50 + 46 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -149461.7.\nAnswer: 14946.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 460152 and 21497?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11275?\nAnswer: 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w + w)*(1 - 4 + 0)*(95 - 172 - 170).\nAnswer: 1482*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -8*f + 7*f. Suppose 7*t = f*t + 2*d + 2, 4*t = 5*d - 1. Sort t, 3, 12.\nAnswer: t, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yuuuuyyuuuuu.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3305981 divided by 24857?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 2*j**2 - 4*j. Let x be b(-4). Let p = x + 34. Solve 5*c - 2*c = a + 1, -4*c + p = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92234*i = 92137*i + 1261 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -159696963 divided by 153?\nAnswer: -1043771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4450*f**2 + 1 + 15462*f**2 - 3.\nAnswer: 11012*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence etm when three letters picked without replacement from tjmhejmjmmjmm?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 a, and 1 m when three letters picked without replacement from {o: 1, h: 1, d: 1, m: 3, a: 1, z: 6}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r + 15 = 20*r, -3*p + 5*r = -21. Let c(o) be the first derivative of 9 - 845\/3*o**3 - 130*o**p - 20*o. Let c(s) = 0. What is s?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2145369cm in kilometers?\nAnswer: 0.000002145369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98 + 40. Suppose -40 = -s + 88. Let o = l + s. Calculate the greatest common divisor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*u - 4*a, 2*u - 125*a = -103*a + 136 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 - 2*j**2 + 3. Let o be 16\/(-10) - 2\/5. Let d(c) = -c**3 - c**2. Let w(u) = o*d(u) + a(u). Differentiate w(n) with respect to n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4. Suppose -4 = -8*o + 10*o. What is the biggest value in o, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*o - 6644 + 16470 = 0 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1 - 2*s + 0 - s - s**2. Let g be o(-3). Let w be (-6)\/(g\/1 - -1). What is the second biggest value in w, -0.5, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10934318 is divided by 112?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 3*b - 5, -4*b - 17 = 3. Suppose -59 + 9 = -j*s. What is the greatest common divisor of s and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -951.\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ffffzffzffffffffff.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 983174 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*f**2 + 18327 - 18327.\nAnswer: -249*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8*6\/30*((-75)\/40)\/5\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:25 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/10 and 43\/28352.\nAnswer: 141760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 0. Let n = 259 + -353. Find the common denominator of 2 - (i - n\/(-4)) and 21\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 2 = 8*f. Suppose m = -f*m + 6. Suppose 104 + 6 = m*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 17. Which is the third smallest value? (a) i (b) 1\/8 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -342 by 114.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 4 (c) 2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 9*n - 4*n - 2 + n**3 - 5*n**2. Let v be k(3). Find the third derivative of -v*t**3 + 2*t**2 - 4*t**2 + 3*t**3 wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19657336.09 - -16872.\nAnswer: -19640464.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**3 - 5*n**2 - 15*n. Suppose -22*g - 17 + 61 = 0. Let w(k) = -g*k**3 + 2*k**3 + 5*k + k**3 + k**2 + k**2 + k**3. Calculate -3*l(y) - 8*w(y).\nAnswer: 2*y**3 - y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + j - 36 = 0, 2*i - 4*i + 5*j = -18. Calculate the remainder when 59 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 823 = 40*t + 2103 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 6846, 2\/735?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 19529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s**2 + 7*s + 8. Let j = -3 - -9. Let z be t(j). Calculate the remainder when 13 is divided by z\/(-18) + 12\/(-54).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -158*q*s*z + 14193*q*z - 13833*s*z + 2523*z with respect to q.\nAnswer: -158*s*z + 14193*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -741 + 372 - 7*j**4 - 5*j**4 - 2*j + 370 + 10*j**3 as c + d*j**2 + q*j**3 + b*j**4 + p*j and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (0\/(-3) - 1). Let y = 1 - -2. Suppose -c = -2*j - y*c - 4, 5*c + 25 = 0. Solve -j*m + m + 8 = l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 8. Let r = 10065 - 10068. Suppose 16 = 5*z + 1. Which is the second smallest value? (a) r (b) v (c) z (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 4*a + 10. Let h be ((-4)\/4 + 1)\/(-2). Suppose -4*m + 28 = -h*m. List the prime factors of c(m).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.1519?\nAnswer: 0.01519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*s + 18*s + 58 + 18*s + 9*s + 10*s.\nAnswer: 2*s + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 - 77*q - 84. Let n(r) = 10*r**2 + 384*r + 416. Let s(y) = 6*n(y) + 28*p(y). Find b such that s(b) = 0.\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 29*q - 13. What is p(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 + 54 + 58 - 560*q.\nAnswer: -560*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 11, k: 2}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**3\/3 - 4*z**2 - 7*z - 2. Suppose -7*n = -n - 98 + 146. Give x(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 9:37 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0, 91, -4, -12, 1 in descending order.\nAnswer: 91, 1, 0, -4, -12, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than or equal to 1466\/255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 5*c + 0*c**2 - c**2 + 4*c**2 to the form d*c**2 + y + v*c and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/7, -181\/22, -5 in descending order.\nAnswer: 2\/7, -2, -5, -181\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/i**(-2\/5)))*i**(-2)\/i*i*(i\/(i**(4\/7)\/i))\/i**(-2\/11))\/(i**(-12))**2 assuming i is positive.\nAnswer: i**(9629\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - b - 2. Let g be c(0). Let k = -8 + 0. Let p(v) = -10*v - 276. Let q be p(-28). Sort q, k, g, -4 in ascending order.\nAnswer: k, -4, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*i**2 - 291*i**2 - 73*i**2 to f*i**2 + y + u*i and give f.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311, -570, -831, -1094, -1359?\nAnswer: -1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 318 - 7\/(-35)*-10. List the prime factors of 10 + -13 - (-1)\/(1\/v).\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3505634521?\nAnswer: 29, 41, 2948389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 36*y - 74. Let s(k) = -3*k + 6. Let a(o) = -2*l(o) - 25*s(o). Calculate a(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(-26)*y)\/y))**(-42)*(y\/(y**(-13)\/y))**3 assuming y is positive.\nAnswer: y**(-1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39355703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 199930211 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by (-5*(-6)\/10 - (-1 - 40)) + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -554 and -477 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-6))\/((-2)\/24). Suppose -r - 4 = -4*d. Suppose d*a + 5 = -3*a. Sort -5, -4, a.\nAnswer: -5, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**4 + 86*z. Let t(h) = -2*h**2. Give t(g(q)).\nAnswer: -288*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + c**2 - 3 + (2*c**2 + 1 - 1)*(-4 - 2 + 5) - 3*c**2 + c**2 - 3*c**2)*(17*c**3 + 4*c**3 - 4 + 5).\nAnswer: -126*c**5 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -414960 divided by -35?\nAnswer: 11856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 11*n + 1227. Let g be x(-41). Suppose -6*h + 3*h - 16 = -z, 3*h = 2*z - 20. Sort -4, z, g in ascending order.\nAnswer: -4, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = -8*w + 40. Suppose 1284 = w*x - 4*g - 644, 0 = 3*x + 4*g - 2922. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462881 is divided by 1017.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g. Let f(b) = -6*b. Let n(x) = 4*c(x) + f(x). Let l(t) = -4*t. Let v(h) = 5*h. Let a(j) = 6*l(j) + 5*v(j). What is n(a(w))?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9034 equal to 9034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 8. Solve -l = -y*l - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**2 + 1\/420*u**7 - 7\/120*u**5 - 3 + 1\/120*u**6 + 0*u**3 + 1\/12*u**4 + 0*u. Factor w(g).\nAnswer: g*(g - 1)**2*(g + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 0. Is 59 + -3*(-4)\/o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, n: 1, z: 2, q: 7, o: 1, w: 1}. What is prob of sequence vnw?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -20. List the prime factors of 40 - 0\/(-4) - b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-194)\/291)\/(13\/6)*(-9)\/3?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**4\/12 - 2*k. Let x(r) be the third derivative of r**5\/30 - 2*r**2. Determine j(x(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5.4829394 * -2\nAnswer: -10.9658788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3130 + -3133. Suppose -4*y - z - 1907 = 0, 5*y = -0*y - 4*z - 2370. List the prime factors of 8\/(-10) + s\/(30\/y).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 2 + 9 + -9 - -11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*c - 93*c - 110*c - 12696 for c.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9704 - 687*u + 177*u - 9704 - 80*u.\nAnswer: -590*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/56)\/(2\/(-8) + 1)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-110)\/(-20))\/((-2)\/(-24)). Suppose -3*s + h = 3*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - 719*r - 53794. Give v(-253).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 215882466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 15486 = -30*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4296 and 4584.\nAnswer: 820536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, s: 5}. What is prob of sequence sts?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3413*g**2 - 2634*g**2 - 1608*g**2 + (5 - 5 + g)*(-2*g + 5*g - 5*g) + 0*g**2 + 2*g**2 - 4*g**2 to z*g**2 + q*g + x and give z.\nAnswer: -7659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 52*k + 20 = -57*k, -4*v + 5*k = -5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 840*r - 841*r. Let h(d) = -d**3 + 3*d**2 + 2*d - 1. Let n be h(3). Solve -3*p + r*o = n, -5*p - 6*o = -4*o + 19 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -837447, -837464, -837493, -837534, -837587, -837652, -837729?\n\"Answer: -6*s**2 + s - 837442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 460022748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5 - 4*f**4 - 6*f**3.\nAnswer: 2*f**3*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5426 = -91*j - 1968. Let u be ((-57)\/12)\/((-2)\/40). What is the highest common factor of j and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5963512 is divided by 1898.\nAnswer: 1894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-12)\/54 - 9004\/(-18). Determine l, given that 355*l + 952*l + 4*l**5 + 424*l**3 - h - 1160*l**2 - 7*l - 68*l**4 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -49. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/15 and 6\/(-2)*118\/(-18).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1332, -2663, -3994?\nAnswer: -5325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (2 - -2 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 0.2982?\nAnswer: 3.5784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*o + 73, 65*o - 70*o = 5*f - 95. Solve -23*d = -o*d - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*t**4 + 4*t**4 + 2*t - 6 + 2*t in the form h + g*t**3 + z*t**4 + q*t**2 + l*t and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1035346 + -6?\nAnswer: 1035340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(7\/6))\/(r*r*r\/r**(-2\/37)*r*r)*r*r*((r**(-9)\/r*r)\/r)\/r*((r**(3\/16)\/r)\/r)\/r*r)**31 assuming r is positive.\nAnswer: r**(-699205\/1776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x = -27*x - l + 17, 0 = 5*x - l - 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 33*q + 20. Let m be z(-33). Is 7 a factor of (0 - 35\/m)*(-168)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 - g**5 + 2*g**3 - g**2 + g**2 - g**5 + (-g + 5*g - 6*g)*(-2*g**4 - g**2 + g**2) + 1567*g - 1567*g - 10*g**5.\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 2*g - 6. Let h be w(5). Find the first derivative of h*p**4 - 2 + 14*p**4 - 12*p**4 wrt p.\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3005909469115004\/26370309 + -6041385480\/53. Let x = 2\/5719 + i. Is 0 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (25 + -18)*2\/14. Suppose f - 3*d = -7, -3*f - 3*d + 44 = d. Suppose f = -2*t - 2*t. Sort k, 4, t in ascending order.\nAnswer: t, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 91\/(-14) + 8 + 1153\/(-2). Let t = 29 - k. Is 47 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 1621*b**6\/60 + 341*b**5\/20 + b**2 + 1560*b. What is the third derivative of n(x) wrt x?\nAnswer: 19452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65660761 bigger than 65660762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170896183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6955\/(-428) - ((-19 - -3) + -4).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, t: 7}. What is prob of picking 4 t?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 938\/(-12) - 2\/(-12). Let x = -46 - f. Let c(t) = -t**3 + 5*t**2 + t + 3. Let a be c(5). What is the highest common divisor of a and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:37 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 474 and 438.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/(-95))\/(684\/3249))\/((-29)\/2).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 514*y - 2043. Calculate p(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*k = -2*n - 105*k - 29, 2*n - k = 1. Suppose 2 = 2*h - h + 4*x, 0 = 5*h - 3*x - 10. What is the smallest value in -13, h, n?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2\/13, -1, 10 in descending order.\nAnswer: 10, -2\/13, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36857459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 372\/84 + (-10)\/2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -981 + -11383\nAnswer: -12364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 9*y - 18. Let s be n(-5). Let m(d) = 7*d**2 + s - 17*d**3 - d - 12*d**2 + 16*d**3 + 9*d**2. Give m(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 10:39 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2865856 and 1792?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**4\/4 + 2*w**3\/3 + 3*w**2 + 7*w. Let s(u) = -4*u**2 - 5*u - 7. Calculate 4*s(j) + 5*x(j).\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 - -0.1. Let v = 0 - 0.04. Let d = 4.96 - v. Which is the smallest value? (a) -2\/7 (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808 a factor of 6618905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537687698.\nAnswer: 2, 23, 11688863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -17*z**3 - 3*z**2 + 6*z - 37. Let a be j(1). Do a and -51 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 44553.3 and 13.\nAnswer: 44566.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 2*s**3 - s + 2. Let x be f(4). Suppose -2*z = 3*z - x. Calculate the remainder when z is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8271.54 months to decades.\nAnswer: 68.9295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-80)\/(-28))\/((-4)\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtn when three letters picked without replacement from nggggnngggfnnwttngnn.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 10*c**2 + 5*c - 24. Let h be g(-12). Let f(x) = -5*x - 90*x**2 - 4 + h*x**2 + 166*x**2 - 12*x**2. List the prime factors of f(-1).\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/1311, -120, 5, 0, 0.1 in decreasing order.\nAnswer: 5, 0.1, 2\/1311, 0, -0.3, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 104598 to the power of 1\/2, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53606701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 20. Let g be (4*4\/16)\/r. Let v = -6.86 + -0.14. Which is smaller: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7 (b) -3 (c) 0.5 (d) 3 (e) 62 (f) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6 + 346\/(-33) + 11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aos when three letters picked without replacement from {a: 2, s: 2, b: 1, o: 1, w: 1, e: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23076 and 540?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 188 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -14. Suppose h = 7*y - 3*y. What is the least common multiple of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 404941180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/9)*h\/(h**(6\/5)\/h))\/(h\/h**(1\/3))**(2\/73) assuming h is positive.\nAnswer: h**(6583\/3285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8106, -8496, -9142, -10044, -11202, -12616?\nAnswer: -14286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 402 = -422 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1.2. Let h = 3\/131 - 307\/1965. Sort 0.1, t, h in descending order.\nAnswer: 0.1, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 19) + 58 + -116?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence als when three letters picked without replacement from {c: 1, o: 1, a: 1, s: 2, l: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18708 and 8.\nAnswer: 37416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31087826 to the power of 1\/2, to the nearest integer?\nAnswer: 5576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23532420 and 4152780?\nAnswer: 70597260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -339 + 343.99. Let c = m + -5.776. Let o = 0.7 + c. Round o to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1066 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 178936007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -692 + 0?\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*b**2*w**3 - 8*b**2*w - 22*b*w**3 + 6254*w**3 + 1582915*w**2 wrt w.\nAnswer: -456*b**2 - 132*b + 37524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 - 12*o - 11. Let s(g) = 3*g**2 - 11*g - 8. Let z(j) = 4*p(j) - 5*s(j). Give z(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-8059065.\nAnswer: 805906.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 8:04 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1745996037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/728 and 33\/16.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15087 + -0.45087. What is the fourth biggest value in v, -13\/7, 5, -1?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-3 - 3995\/15)*((-62)\/8 - -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -2. Let t(i) = i - 2*i - i**2 + r*i**3 - 3*i + 3*i - 1. Calculate t(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 50*d + 132.\nAnswer: 2*(d + 3)*(d + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (65374\/(-1 + 0))\/(-152 - -150) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*u**4 + 24*u**3 - 162.\nAnswer: -32*u**3 + 72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4054 + -16217\/4. Sort 4\/3, -11\/10, y in increasing order.\nAnswer: -11\/10, y, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 + -11 + -17 - -28) + -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**2 + 3*g - 4. Let y be k(4). Let j be y\/(-32)*2\/(-3)*-9726. Suppose -4*c = -4*n - j + 3285, -3*n - 1211 = -c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + u + 4 - 11, -3*c + 3*u = -3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Let s = -5 - -11. Solve -4*b - 4*p = f, b + 3*p = s*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 10*y + 3. Let a be b(-10). Suppose -14 - 52 = -a*i. Let m be 68\/11 - 4\/i. Let d(k) = k - 1. What is d(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2 plus -129.4880083?\nAnswer: -125.2880083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p - 9. Let w(u) = u**3 + 3*u**2 + u + 1. Let a be w(p). Let m = 2 - a. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3995288*v**3 - 1377554 with respect to v.\nAnswer: 11985864*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 77 = -3*l, -112 = -4*l - 2*u + 4*u. What is the remainder when 133 is divided by l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(126\/(-27))*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -636162 or -636445?\nAnswer: -636162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, 4, -17 in decreasing order.\nAnswer: 90, 4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 5:59 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) -1 (c) 3 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -5\/6*j**3 + 1\/24*j**4 + 0*j - 25*j**2 + 0. What is the derivative of z(i) wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o. Let y(i) = 491*i**2 + 6*i. Give 2*c(d) - y(d).\nAnswer: -491*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 293394513 = 3*x - 82585484, x = -j - 187990001. Round j to the nearest one million.\nAnswer: -188000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*q + 2*q - 335, q = 3*t + 79. Solve 5*c = -54 + q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402954452.\nAnswer: 2, 73, 1379981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -430 and 0.44.\nAnswer: -189.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 5*l - 7. Suppose 2*p = -2*r - 0*r + 34, -5*r - 4*p = -86. Suppose 19*z - r*z = 5. What are the prime factors of c(z)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 76*z - 299 + 603 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 722 + -1257. What is the tens digit of p*((26\/(-5) - 3) + 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*f = -47*f - 72 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -104432 (base 5) to base 9\nAnswer: -5117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 4\/((-8)\/10). Let a(g) = g**3 + 4*g**2 + 3. Let q be a(k). Solve 4*b = 4*z - q, -b - z + 6 = 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5 + 28*m**2 - 11 + 27 + 15*m**4 + 31*m**3 + 45*m + 42*m**2 + 19*m**3 - 5 = 0. What is m?\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4396\/17 - -260. Which is bigger: 2 or x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**2. Let a(k) = -37*k. Calculate a(s(d)).\nAnswer: -148*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 11. Let k be d(-4). Suppose k*v + 3*v + 2020 = 0. Round v to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - a**2 - a - 5. Suppose -24 = -2*x - 4*p, 3*x - 5*p + 24 = 4*x. Suppose -x*y = -y. What is o(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 3:54 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8.5 - 118564\nAnswer: -118555.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5130 is divided by 105.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - 11)*(-9)\/2. Let a be (-8)\/48 - (-75)\/w. Suppose -957 = -a*f + 1255. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/280 and ((-1)\/(-7) + (-8406)\/2835)\/(-3 - -7)?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((0 + (((-5 + (sqrt(117) - -2*sqrt(117)) - sqrt(117)) + sqrt(117) - sqrt(117) - sqrt(117)) + sqrt(117)*1 + -1)*4 + 2)*-4)**2.\nAnswer: -16896*sqrt(13) + 127555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v - 16 = 0. Let b = -6 - v. Let k = 6 + 4. Calculate the least common multiple of b and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 5:37 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2444 - -2437)*((-5508)\/(-2751) - 2)\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4263*m + 98051. Calculate g(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (77 - 3 - 3)*1. Suppose -12*b = -g - 133. Solve -a + 5*j + 14 = 0, 0 = -2*a - 0*j - 5*j - b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44064341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**6\/120 - 7*z**5\/60 + z**4\/6 - 5*z**3\/6 - 2*z**2. Let l be v(5). Let a be (4\/(-70))\/((-7)\/l). Is -2 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458757152 - 458757152 - 205*k.\nAnswer: -205*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12460)\/(-105480) + (-3)\/((-54)\/(-4)) and 47\/(2 + -3 + -17).\nAnswer: 5274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 13*s + 2*j = -2428, -607 = -s + 5*j. What are the prime factors of s?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/1855)\/(5 - 1056\/224)*1?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 605048?\nAnswer: 2420192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14881 is divided by 14695?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -33*q**2 - 435*q + 14. Give k(-13).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(2*l**5 - 2*l**5 - 2*l**5) - 2260*l**5 - 2832*l**5 - 4223*l**5.\nAnswer: -9311*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 2*z**2 - 8*z**3 + 1 - 2*z**4 + 0*z**4 + z to o*z + t*z**2 + m + s*z**3 + k*z**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 21\/5. Let s = 32 - 31.92. Let b be 4 + (-176)\/55 - 37\/15. What is the nearest to s in b, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/80103302 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -121110121020 (base 3) in base 12?\nAnswer: -137696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4519 + -1355. Let a be ((-1)\/(-5) - j\/720) + 4. Is a greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1870*j - 1877*j - 12 + j**2 + j**2 to i*j + o*j**2 + w and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 221*n*u**3 - n*u**2 + 28121*n - 6*u wrt u.\nAnswer: 663*n*u**2 - 2*n*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6585?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136602 is divided by 64784?\nAnswer: 7034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 8*j - 3*j - 45, -4*j + 5*i = -36. Calculate the least common multiple of j and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17459161+8\nAnswer: -17459153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 14*q = -45. Suppose -4*l - 4 = -2*d, l - 5*l = q*d + 4. What is the closest to 0.1 in -5\/12, l, 4?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1542 and -117\/2570.\nAnswer: 7710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -92, -355, -628, -917, -1228, -1567?\n\"Answer: -f**3 + f**2 - 259*f + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 13*q - 114. Let p be f(14). Suppose 2*r + 8 = p. Calculate the remainder when r is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12280)\/(-5833) + 5\/(570\/(-12)). Suppose 24\/5 - 3\/5*t**m + 21\/5*t = 0. What is t?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**6\/90 - u**4\/8 - u**3 - 4. Let n(p) be the third derivative of t(p). Differentiate n(f) with respect to f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukkuu. Give prob of picking 1 k and 1 u.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v**3 - 36*v**3 + 46*v**3.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j - j + 1 + 2*j)*(6*j**2 + 8*j**2 - 19*j**2) as h*j + x + i*j**3 + g*j**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 10*d + 2. Let o be p(10). Let t(l) = -5*l + 8*l**o + l + 2*l + l. Give t(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 499*s**7\/105 - 367*s**3\/3 - 410*s**2. Find the first derivative of w(p) wrt p.\nAnswer: 3992*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 1:48 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1263*o**4 + 5*o**3 - 559*o + 5. Let r(l) = -629*l**4 - 2*l**3 + 280*l - 2. Let v(b) = -4*m(b) - 10*r(b). What is the second derivative of v(f) wrt f?\nAnswer: 14856*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**5 + 55660*b**4 - 309803560*b**3 + 862183307480*b**2 - 1199728072358420*b + 667768645074696572 = 0.\nAnswer: 2783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m + 39. Let i(t) = -t + 19 + 2*t - 6. Let y(j) = 4*g(j) - 11*i(j). Is y(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g - 3. Let u be 0\/(2\/(g + -3)). Solve 4*k = 4, u = -2*r - 0*r - 2*k - 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 2*p**3\/33 - 58*p**2\/11 - 496*p\/11 - 5725. Factor k(a).\nAnswer: 2*(a - 62)*(a + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 396, 776, 1214, 1656, 2048, 2336?\nAnswer: 2466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*v + 9. Find c, given that -c - 3*c**3 + 24 + 4*c**v + 0*c - 2*c**2 - 22 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 13. Let w(p) = -p + 16. Let y be w(t). Let s = 17 - y. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*f = 3909, f - 3906 = 4*y - 9*y. Suppose 0*w = 11*w - y. Let j = -69 + w. Solve k = j*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/25)\/(101\/((-18180)\/(-108)))*-75.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/3)\/((756\/(-24))\/(-21)). Solve 4*x + b + j*b = 37, -x + 3*b - 12 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -391252?\nAnswer: -391252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*v, 5*f = f - 4*v. Calculate the smallest common multiple of 8 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 - 7*k**2\/2 + 24*k + 360.\nAnswer: -(k - 10)*(k + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 11*b**2 + 25*b - 301. Is 33 a factor of l(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*i - 120 = 0. Suppose -4*m - m = -i. Solve d = -4*d - g - m, -3*g = -3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4368)\/(-672) - (-110)\/4. Let g(v) = 3*v**2 + 3*v - 1. Let i be g(-3). What is the greatest common divisor of i and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (18 - 44) - -34?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z + 28 + 64 + 68 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:37 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20743390102 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*y, -50*y + 54*y - 18723984 = 4*k. Round k to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(7 - 4) - -4. Suppose 0 = -h + 2*s + 9, f*h - 9*h + 5*s = -30. Solve h*g + 2*n = -9, -g = 4*n + n - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 3*h - 9)*(h + 1 + h**2 - 1).\nAnswer: -3*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(162))\/(3*(-1*sqrt(9) - sqrt(9) - sqrt(9))).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9862 + -33262. What is d rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 60293720.\nAnswer: 180881160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 10*l**2 - 11*l - 10. Let b be s(-9). Let h = b - 2. What is the third derivative of 8*q**5 - h*q**2 + 72 - 72 - q**5 wrt q?\nAnswer: 420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of s**3 + 901*s + 1803 wrt s.\nAnswer: 3*s**2 + 901","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 6 - -5) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(77) + -2*sqrt(77))*-6)\/((1*sqrt(77) + sqrt(77))\/sqrt(11) - sqrt(448)\/sqrt(4)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4*z = -4, 278 - 261 = -2*k + 3*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 + 393 = 3*v. What are the prime factors of v?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**2 - 305568*i + 305565 = 0.\nAnswer: 1, 101855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5098\/3 + -1701. What is the second smallest value in u, 3, 11, -14?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 12*x = 38820. Suppose 6*l = 42242 + x. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*h + 348 = 0. Let w = h - -188. List the prime factors of w.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10933*m**2 + 51126*m + 245175698 wrt m?\nAnswer: 21866*m + 51126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 543933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 2 - 7821*u**2 + 5 - 7684*u**2.\nAnswer: -15505*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 197674465 or 3?\nAnswer: 197674465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -5784?\nAnswer: 5787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 163407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 4) + -14 + 23 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 390 and 4160.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2, 0 in increasing order.\nAnswer: -12, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 56*h + 372. Determine p(-15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -441*g**5\/100 + 721*g**4\/20 + 209*g**3\/30 + g**2\/2 + 1244*g. Find n such that p(n) = 0.\nAnswer: -1\/21, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 17*o + 180. Suppose -2*m + o - 11 = 0. Solve -m = 2*s - 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3117771, -6235503, -9353193, -12470841, -15588447, -18706011?\nAnswer: -21823533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i. Let a(o) = -34*o**2 - 3*o + 621. What is a(j(k))?\nAnswer: -34*k**2 - 3*k + 621","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2480 and 176948.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 23*i + 73. Let h(b) = -3*b**2 - b + 28. Let x be h(3). What is the lowest common multiple of (-2 - -17) + -2 - -2 and d(x)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 678860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 51*z**4 - 32*z**4 + 70*z**4 - 2*z)*(-z + z - z).\nAnswer: -89*z**5 + z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -150 + 306. What are the prime factors of t?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -19. Let n(c) = c**3 - 7*c**2 + 6*c + 2. List the prime factors of n(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011211230 (base 4) to base 11.\nAnswer: -830a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 464 + -456. Let g be (-6)\/(60\/(-8) + p). Let q(c) = c**3 + 10*c**2 - 23*c + 6. What is q(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44443 (base 5) in base 12?\nAnswer: 1983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -848494 + 2.2?\nAnswer: -848491.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9812209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x**3 - 13*x**2 + 46*x - 295. What are the prime factors of l(10)?\nAnswer: 5, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1652639.\nAnswer: 19, 86981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -13*f**2 - 143*f - 42. Calculate j(-10).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/21)\/((-16)\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, -3, 109, 62, -0.1, -2.\nAnswer: -3, -2, -0.1, 0.11, 62, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m = 14*m - 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and 161578.\nAnswer: 3069982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 35. Let z = 22 - b. Let i = 8 + -7.9. What is the closest to z in 0.5, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397 = 4*i - 911. List the prime factors of i.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40779*j + 65*j**2 + 35055*j + 58*j**2 - 127*j**2.\nAnswer: -4*j**2 + 75834*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*t + 40, 3*t = 5*y - 73 + 111. Calculate the remainder when 10\/25*1*25 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/(-1)*(-1)\/(-1). Let d = b - -22. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4887 (base 16) in base 5?\nAnswer: 1043232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 39 + 33 = 0. Let i(h) be the second derivative of 0 - 1\/2*h**3 - j*h + 2*h**2. Differentiate i(a) wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 13*f**2 - 370*f + 5033. What is n(18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -1a370?\nAnswer: -1a374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*f - 174 = 0, 3*f - 3 = 6. Suppose 0 = 14*p - 8*p - n. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 8 = 0, -4*j + 3*j = -u + 7. Is ((-39)\/9 + u)\/(2\/8781) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/53 or 0?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 24*u + 7. Let p be g(6). Suppose -p = -5*i + 139. Suppose -3*j - 2*q - 43 = -113, -5*q = 3*j - i. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 + 4*a**2 + 97*a + 29. Determine y(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*s - 4*q + 539, -s = -5*q - 161. Let a = s - 71. Let w be (0 - -1) + -2 - -14. What is the highest common divisor of w and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 54775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 3790554*u + 26534025.\nAnswer: -3*(u - 7)*(u + 1263525)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 14*j**2 + 12*j + 12. Let i(d) = d**3 - 3*d**2 + 6*d - 27. Let v be ((44\/14)\/11)\/((-2)\/(-28)). Let h be i(v). Determine x(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/(-196))\/((-18)\/36))\/((-72)\/63).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**2 - 1677*z - 73800 = 0.\nAnswer: -41, 600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -25*y + 1. Let w be i(-1). Let c = -22 + w. Is (949 - (2 - c)) + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -306 - -768. Solve 4*b**5 - 108*b + 382*b**2 - 40 + 24*b**4 - z*b**2 + 5*b**3 + 3*b**3 = 0.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689062676 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7150276681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(121) - (sqrt(121) + sqrt(121)*1*-1))*3)\/((sqrt(77) - (-5*2*sqrt(77) - sqrt(77) - sqrt(77)))\/(-2*sqrt(847) + sqrt(7))).\nAnswer: 315*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6 + 3 + 2*a + 2. Let k be 34\/6 + (-4)\/6. What is the remainder when 25 is divided by d(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 - (-2 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002814107 rounded to 6 decimal places?\nAnswer: -0.002814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 852, 2913, 6942, 13593, 23520?\nAnswer: 37377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*c - 551 = 0, -3*l - 2*l + 870 = -3*c. Calculate the remainder when l is divided by ((-2)\/(-5) - (-712)\/(-40))\/((-1)\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 900 + -919. Which is the smallest value? (a) 4 (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 213 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + (sqrt(1900) - (4*sqrt(1900) - sqrt(1900))) + sqrt(57)\/(sqrt(27)\/sqrt(9)))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 433 + -414.9. Let s = -18 + z. Which is the second smallest value? (a) 3\/4 (b) -5 (c) s (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c. Let x(o) = 2*o - 1 - 3*o + 5*o. Suppose -11 = -5*w + 4. Let j(k) = w*d(k) + x(k). Give j(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11039660.66 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 7:26 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + 4*o + 1. Let g(s) = 12*s**2 - 15*s - 3. Let j(n) = -g(n) - 3*q(n). Let i(p) = 5*p**2 - 2*p. Calculate 7*i(z) + 6*j(z).\nAnswer: -z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 87*l + 440 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2393820793 to the power of 1\/3, to the nearest integer?\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7270*q - 186076 - 283050 + 163786 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 6*q = 144. Calculate the highest common divisor of q and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110906726867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 14 = -3*f, 2*f = -w + 4 + 5. Solve 0 = -3*r - 2 + w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 4) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/186407 and -24\/7721?\nAnswer: 1304849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2319, -2322, -2327, -2334, -2343, -2354, -2367?\nAnswer: -2382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/6*2\/4. What is the biggest value in -0.4, 2\/9, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23836823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 100*k + 2583. Determine h(-24).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(539) + 2)*6)**2)*4.\nAnswer: 4032*sqrt(11) + 78192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8\/9 + 101\/144. What is the common denominator of 9\/20 and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c + 3. Let m be v(3). Let r be ((-12)\/(-9))\/(2\/m). Suppose -b - r = -2*q, -2*b + 20 = 4*q - 3*b. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -125, -280, -497, -776, -1117, -1520?\nAnswer: -1985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*f + 235*f + 240*f - 59*f**2 - 116*f**2.\nAnswer: -175*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 736 - 459 = 0. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 544*l**2.\nAnswer: 4*l**2*(l - 136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43274.\nAnswer: 2, 7, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195 and 39?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1265518 is divided by 90394.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 83023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 = -0. Suppose -6*f + 4 = -m*f. Let w be 2\/(-10)*(f + 0). Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18962 divided by -2?\nAnswer: -9481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, -14, -55, -132, -257, -442?\n\"Answer: -2*y**3 - 3*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 14*t + 15. Let p be k(11). Let z be 300\/108 - 4\/p. Solve -2 = -v + z*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32.66 - -1.74. Let u = -34 + f. Let g = 0.03 - 0.43. What is the biggest value in u, g, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 times 0.17703527\nAnswer: -1.94738797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 14. Let b(d) = -2 + 4*d**2 + 0 + s + d**3 + 0*d**3. Let r be b(-4). Sort -5, r, -1 in increasing order.\nAnswer: -5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/t**(-1\/7))*t*t)\/(t*t**1*t))\/((t*(t**3*t*t)\/t*t)\/(t\/(t\/(t\/(t\/(t\/t**(-14))))))))**(-2\/65) assuming t is positive.\nAnswer: t**(-22\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 29 (b) 4 (c) 154 (d) -217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 32060595, 0.3 in decreasing order.\nAnswer: 32060595, 5\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q**3 - 2*q**2 + 1. Let x(v) = v**2 + 15*v + 37. Let g be x(-12). Give b(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {b: 4, a: 5, l: 4, k: 6}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 23*y. Suppose 2*t + 66 = 5*p, 5*t + 0*p = -2*p - 107. Let b = t - -47. Let u(x) = 3*x. Determine b*u(c) - 3*w(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 0*b**2 - 2*b**2 + 3*b**2. Let w be -2*(-2 - -5)\/(-3). Let o(x) = -2*x - w*x**2 + 3*x - x. Determine m(o(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -5988550.\nAnswer: -5988550.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 6 = 3*j - p, -4*j + p + 9 = 0. Suppose -5*w - 2*a = -330, -w - j*a + 66 = -a. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 211*r**2 + 58.\nAnswer: 422*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 8:36 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, y: 3, e: 2, t: 4, x: 4, g: 1}. Give prob of sequence gefx.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v + 20. Give f(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 - w - 5. What is p(3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2.4 (c) -1\/3 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0127 (b) 0.4 (c) 0.06 (d) -1 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j**2 + 194*j + 167. Give d(-18).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54874.587 rounded to the nearest one hundred?\nAnswer: 54900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 1*sqrt(288) - sqrt(288) - (2*sqrt(2)*2 + sqrt(2)))**2 - ((sqrt(288)*1*-6 - sqrt(288)) + 3)**2.\nAnswer: -14023 + 504*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*o - 148 - 155 + 305 as c + i*o and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.169 + 15.1686821. Round j to five dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 109 = -294. Suppose -5*z = -5*a + 140, -5*z - 7*a - k = -3*a. What is the common denominator of 4\/4*(-2)\/(-4)*z and 91\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1*126\/(-8))\/((-85)\/5610*99).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-2\/3)))**(-40)\/(l\/l**15)**(1\/66) assuming l is positive.\nAnswer: l**(887\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 82*l**2 - 1402*l + 583. Let i be a(-25). Let u = -9 - -15. Is i at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {h: 1, g: 3, c: 5, p: 4}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -28*q + q + 151 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/347 and 6\/11.\nAnswer: 3817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**7\/105 + t**4\/6 - 59*t**3\/6 + t**2. What is the first derivative of o(m) wrt m?\nAnswer: 8*m**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 - 2*f**2 - 2*f + 2. Let o be j(2). Let m = o - 6. Which is greater: -1\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 2*u**2 + 7. Let l(v) = v. Give b(l(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/15 + 101966*s\/5 - 1835172\/5.\nAnswer: -2*(s - 152931)*(s - 18)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-16)*n**(-37))\/((n**(5\/3)\/n*n)\/n**(-12)) assuming n is positive.\nAnswer: n**(-197\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/65 + (-552)\/39)*1\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 - 16.16. Let f = 15.9 + w. Let v = 20.85 - 20.5. Do f and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1378118408?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 169 + -166. Solve -2*q + 0*q = 4*v - 16, -2*v + 8 = h*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p - 2. Let m be r(0). Let b(v) = v**3 + v**2 - 6*v - 8. Let g be b(m). Solve -a - 4*s + 1 + 6 = g, 1 = -5*a - 2*s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 20 = 0, -3*j + 4*w + 0 = -10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*a**3*h**4 + 3*a**3*h - 6*a**2*h**2 + 2*h**5 + h**4 wrt h?\nAnswer: 360*a**3*h + 120*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 + -0.07. Suppose 33 - 137 = -13*p. Suppose 0*i - 4*n = -4*i + p, 4*n = -3*i + 20. Which is the third smallest value? (a) t (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 525 and 131025.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -901046.8 - -0.33?\nAnswer: -901046.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-427)\/(-610)*450\/210)\/(6\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.037 (c) -2\/11 (d) -0.3 (e) -2 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 177 - 177 + 17*r**2 + (3*r - 2*r + 0*r)*(0*r - 3*r + 5*r) + 2*r**2 + 0*r**2 - r**2.\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1640 is divided by 313.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -54945250\nAnswer: -27472625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(4\/(-20)) - 30\/10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 23, 39, 63, 95, 135, 183?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 20. Let s(x) be the first derivative of x**4\/4 + x**2\/2 + 2*x - 1. What is s(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 426, 877, 1328, 1779, 2230?\nAnswer: 2681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 14*s**2 + 156*s + 717. Give i(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48.93 * 8.5.\nAnswer: 415.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -25917386.\nAnswer: 2\/12958693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 126 = -2*r, 0*i - 33 = -2*i + 5*r. Find the common denominator of 4\/(-6) - (-130)\/i and 47\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204359 > 522\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -46*u - 10. Let w be z(-1). Suppose -3*x + 2 = 4*t, -6*t + t = -x + 7. What is the highest common divisor of w and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 1\/7 (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, v: 6, p: 2, n: 2}. Give prob of sequence qqq.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((p*p**(9\/2)\/p)\/p)\/p)\/p)\/(p\/(p**(-7)*p)))\/(p*p*p**(2\/5)*p*p)**49)**(-14))**(-7) assuming p is positive.\nAnswer: p**(-108339\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44746?\nAnswer: 2, 13, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 189 + -129. Calculate the remainder when a is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -116, -292, 1 in descending order.\nAnswer: 1, -116, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, h: 2, l: 3}. What is prob of picking 1 h and 1 l?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.10799 + -0.16599. Let w = b + 0.058. What is the biggest value in w, -0.2, 1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5*u = -28, 26*s = 30*s + 24*u + 68 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.012259 kilometers?\nAnswer: 2012259000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29331 divided by 23\nAnswer: 29331\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -165 + -253?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**3 + j**3 + 1243*j**2 + 0*j**3 - 5 - 1240*j**2 - 2*j to the form z*j**2 + b*j + o + d*j**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.2, -3\/25, -0.5, 1\/5 in ascending order.\nAnswer: -1, -0.5, -0.2, -3\/25, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51721638*o**3 - 302324335.\nAnswer: -155164914*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/2 + (-1898)\/988. Let i = -257\/114 - h. Which is the nearest to 0.1? (a) 5\/3 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*j + 5 = 0, 4*c = 4*j - 2*j + 22. Suppose -3*b - 3 = -c*b. Calculate the remainder when 9 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**3\/3 + 9*s**2\/2 + 12*s - 3. Let o be y(-9). Solve 0 = 3*t - o + 27 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (370\/(-4662))\/(5\/6)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-2)*6\/3. Suppose a*l = 4*l - s - 10, 2*s = 8. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 124845.\nAnswer: 249690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueu when three letters picked without replacement from jooldue.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1876 by -14.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Let c be 420\/54 + 4\/18. What is the tens digit of (-455)\/(-20) + o\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 4*i**3\/3 + 19*i**2 + 448*i. Determine a(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -3 + 2 - -2. Suppose 2*x + 4*j = 104, 5*j = x - p*x + 154. Let n = 385\/8 - x. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 1. Suppose 3*z - 5*z = 24. Let m = z + 22. Suppose 2*i - m = -0*i. Let c(t) = 3*t + 5. What is i*o(l) - c(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -149.38812 rounded to one dp?\nAnswer: -149.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 160481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 18.576856 in descending order.\nAnswer: 18.576856, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 231072559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkh when three letters picked without replacement from kzzhhhhhzhz?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 14. Which is the closest to 0.2? (a) 0.1 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -11923?\nAnswer: -11925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 540870?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 3:48 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106022685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/5 and -55\/31042173.\nAnswer: 155210865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0 + 2. Let o be i + 2\/((-8)\/(-12)). Find the common denominator of ((-99)\/(-15) - -4)\/o and -36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-4)\/(-18)*3). What is the units digit of (-5 - 0)*(v - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -57\/433715 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53190423659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 126389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 204 divided by -8583\nAnswer: -68\/2861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 178112 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1993953 to four dps.\nAnswer: -0.1994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*1\/16 + (-126)\/(-240). Which is the closest to k? (a) -0.4 (b) -9 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**6\/120 - 13*p**5\/120 - p**4\/6 + p**3\/6 - 41*p**2\/2 - 32*p - 1. Let t(r) be the second derivative of d(r). Factor t(u).\nAnswer: -(u + 4)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f + 2. Let l(a) = -5*a + 3. Let d(u) = 3*c(u) - 2*l(u). Let m(y) = 2*y. Let s(h) = -7*h. Let i(p) = -22*m(p) - 6*s(p). Give i(d(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -525628*h**4 + 6*h**2 + 17*h + 28?\nAnswer: -12615072*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 1\/4*z**4 + 0*z**2 + 134*z + 1\/5*z**5 - 7\/2*z**3 + 0. Find the second derivative of s(x) wrt x.\nAnswer: 24*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -227, -941, -2145, -3851, -6071, -8817, -12101, -15935?\nAnswer: -20331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 1:40 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.107 * -0.3.\nAnswer: -0.0321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v - 4560 = 0. Let p be (v\/14)\/((-8)\/(-700)). What is p rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 6*h**2 + 6*h. Give c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -15*f**3 + f**2 - 21*f - 42. Let k(u) = u**3 + 8*u**2 + 16*u + 22. Let n be k(-6). Calculate the remainder when b(n) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-30)*(-693)\/(396\/(-12)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5968, -5970, -5972, -5974, -5976, -5978?\n\"Answer: -2*p - 5966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 1. Let s(c) = 157*c**2 - 628*c + 314. What is 314*h(j) + s(j)?\nAnswer: 157*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*u + 31 = 0, -6*u = 5*a - u - 40. Let j = 3 - -7. Let g(r) = -r**2 + 10*r + 2. What is the lowest common multiple of g(j) and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20359922?\nAnswer: 2, 11, 23, 40237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/7)*y**(-5)*(y**0*y)**(-19))\/((y\/y**0)**13\/(y**(-7)*y**8)) assuming y is positive.\nAnswer: y**(-253\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31540004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -40, -88, -156, -244?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 995489 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 16 + 121. Find the common denominator of x\/33*-1*-5 and 11\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11054 - -342?\nAnswer: -10312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 959497, 959590, 959683, 959776, 959869, 959962?\n\"Answer: 93*r + 959404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 27 = 4*b, -10*b = -15*b + 3*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -8 - 4. Let a = 6 - y. Solve q + 4 = a*i, 0*q = -4*q - 4*i - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (242\/3872)\/(2\/16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + (-53 - -56) + (-1 - -7)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 + -5 + -7 - -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 116436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 617799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -6\/259 (b) -11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - f + 5*f**2 + 0 - 4*f**2)*(-17 + 17 - 9*f**2) in the form g*f**4 + q*f**3 + p + b*f + r*f**2 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from qauumuv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -30*m**2 + 182*m + 6. Calculate a(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (41\/((-1353)\/55))\/(5\/27)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 53 = -355. Let a = b + 82. Suppose -2*y - a = -2*g + 3*y, 0 = 2*g + 5*y - 1. Solve 5*z = -3 + g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - 371d?\nAnswer: -370c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1222232213 - 1?\nAnswer: -1222232214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/139 (b) -327 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 210166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2726*c + 203. Let r(z) = 27*z - 13 - 1 + 9 + 3. Determine 203*r(p) + 2*v(p).\nAnswer: 29*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*j = 2, 3*m + 2 = 5*m - 2*j. Suppose 0 = -m*z + 5*z. Let o = -1 - z. Which is smaller: o or -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/20 and ((-346)\/(-150))\/((-64)\/(-10) + -6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 26*m + 2*m**2 + 83 + 99 - 77. Calculate the lowest common multiple of b(-6) and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301001133 (base 4) to base 3\nAnswer: 101012110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-5 + -1 + (67 - 58))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 5*f = 4, 0 = -4*u - 3*f + 26. Let b(s) be the second derivative of -1\/4*s**4 - 2*s + 0 - 1\/2*s**3 + 0*s**2 - 1\/20*s**u. Give b(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkwlwwklwwwlwlw. Give prob of picking 3 l.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2\/8 - 63*c\/2 = 0. What is c?\nAnswer: 0, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/51 != -54.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 10 (b) -14 (c) -2\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -17.3, -72\/6667?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*s - 20 = -87*s, 3*s = z - 106. What is the remainder when 1210 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -317 + x**3 + 35*x**2 - 359 + 7*x + 557 - 65*x. Is t(-36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1621, 3, 6, 0 in increasing order.\nAnswer: 0, 3, 6, 1621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8205*p**4*w**2 - 3*p**3*w**2 - p**3*z + p**2*w**2*z - p**2*w - 36*p**2*z - 6*p*w**2*z - 3*w**2 wrt p.\nAnswer: -196920*p*w**2 - 18*w**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -304.035 and -2.9.\nAnswer: 881.7015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 484*a**3\/7 + 1408*a**2\/7 + 140*a + 200\/7 = 0. What is a?\nAnswer: -2, -5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgm when three letters picked without replacement from {b: 2, v: 2, q: 1, g: 2, m: 3, r: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-7\/4)\/(l*l*l\/l**(-4\/3)))**(-22))**25 assuming l is positive.\nAnswer: l**(20075\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5 + 1 + 0 - b**2 - 8*b + 7. Suppose -4*a - 20 = 4*n + 4, -3*n = -5*a + 34. Let d be s(n). Solve 0 = -d*u + 5*q - 8, 5*q - 2 = u + 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000065312 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/4 - 113151*m**2\/4 - 678933*m\/4 - 1018413\/4 = 0. What is m?\nAnswer: -3, 113157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*(-2 + ((sqrt(204) - (5*sqrt(204) + sqrt(204) - sqrt(204))*2) + sqrt(204) + sqrt(204))\/sqrt(12)) + 2.\nAnswer: 26 + 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5136)\/1070*(-15)\/24 + 40\/2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*v + 109578 - 334463. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35015485613681\/12828 - 2729613785. Let v = a - 1\/1069. What is the common denominator of v and 101\/136?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**7\/2520 - s**6\/360 - s**5\/120 - s**4\/4 - s. Let o(c) be the third derivative of m(c). Calculate o(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 6 + -3 - 11) + 7 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -495556 by 10.\nAnswer: -247778\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1544 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0392497266 to five dps.\nAnswer: 0.03925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w**4 - 2742*w**3 - 218559*w**2 + 370032*w - 148740 = 0. Calculate w.\nAnswer: -67, 2\/3, 1, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 100*l. Let j(o) = -1034*o**2. Calculate j(t(d)).\nAnswer: -10340000*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16769360 divided by -3353872\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q - 8. Let x be (3 + 0 - -19)\/q. Let k = 19 - x. Calculate the remainder when 15 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/7)*(j**12*j*j)\/j)\/((j\/((j**6*j*j)\/j*j))\/j*j*j*j\/(j*j\/(j**(-9)*j)*j)))**31 assuming j is positive.\nAnswer: j**(6200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 13*x**2 - 22*x - 104. What is the remainder when 1788 is divided by a(15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from qizyyfiimiyy.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20402*o**2\/13 + 1127160*o\/13 + 15568200\/13.\nAnswer: 2*(101*o + 2790)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -667 divided by 4.\nAnswer: -667\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 135*t**3 - 3*t**2 - 6*t - 4. Let a be n(-1). Round a to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82226 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 139012927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*1*-3)\/sqrt(9))**2 + -4 + 1 + sqrt(51)\/(sqrt(432)*2 + sqrt(432)).\nAnswer: sqrt(17)\/36 + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 - -40. Calculate the remainder when o*((15\/(-3))\/1 - -1) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 9:49 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7098.000007422 - -7098. Round d to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 8 + 2*v**3 + 14.\nAnswer: 2*v**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 - 3*c**2 + 4*c**2 + c**2 + 3*c**2 - 5*c**2 + (0*c + 3*c - 5*c)*(c + 0*c + c) - c**2 + 2*c**2 + 0*c**2 + 0 + 0 - c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {i: 1, y: 16, p: 1}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 262 and 1218.\nAnswer: 159558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(6\/27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 14171.5.\nAnswer: 14171.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 15 - 15 = 0. Let o = 52 - 49. What is the first derivative of 3 - b*h - 5 - o*h**2 + 15*h wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19952.073 months to centuries.\nAnswer: 16.6267275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + (-33 - -58) - -32 - (2 - 0 - 133).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -34*n + 6. Let j be t(0). Solve -8*o + 5*o = -j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 812969*i - 287372*i + 704244*i.\nAnswer: 1229841*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1136969 - 557031. What is g rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 2:09 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 1. Let m(j) = -2*j - 16. Let z(a) = -2*m(a) + 28*x(a). What is the tens digit of z(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 19*v**2 + 11*v - 11. Let u be i(-13). Suppose u = -c + 6*c. List the prime factors of c.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-605)\/44)\/(-11) + -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y + 3. Let m be s(0). Let k(u) = 31 + m*u**2 - 17 - 14. Let g(j) = -j. Give g(k(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**2\/2 + 1885. Let w(z) = -2523*z**2. Determine w(r(f)).\nAnswer: -2523*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30.6 - 31. Which is the second smallest value? (a) -2 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 13. Let d be u(-10). Suppose -8 + 1 = d*h. Let x be (1 + h)*(0 - -1). Solve -3*q + 2*m + 3 = 0, -2*q + 3*m + 2 = -x*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 2*k - 6. Suppose 2 = -2*d + 4*t + 8, -4*d - 5*t = -25. List the prime factors of i(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 - 327*q**2\/4 + 163*q\/2.\nAnswer: q*(q - 326)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138 - -403. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*856.382.\nAnswer: -102.76584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 189170871867 and 24.\nAnswer: 189170871891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 36 = p. Let u = -44 - p. Let l = u + 51. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 4*d + 3. Suppose -2*v - 5*s = -5*v + 35, 0 = -2*v + 4*s + 26. Give j(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27388518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 0 + 0)*(-o + 2*o - 3*o) + (4 - 5 - 7)*(2 - 2 + o**2) - 3*o**2 - 3*o + 3*o + (2*o**2 + 0*o**2 - o**2)*(5 + 7 + 9) as h + r*o + v*o**2 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 1:44 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3 + 1994*k**2 - 5996*k + 4000 = 0?\nAnswer: -1000, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i - 22. Let h(j) = 3*j - 7. Let w(t) = 11*h(t) - 4*z(t). Let o be w(-6). Suppose -o*q = -16 - 39. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from wwwaawwwaw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, n: 7, x: 3}. What is prob of picking 1 x and 1 h?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b - 8. Let w(z) = z + 7. Calculate -2*l(u) - 3*w(u).\nAnswer: u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 756 and 4186917?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.52674l in millilitres?\nAnswer: 64526.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-5*sqrt(104) - sqrt(104)) + ((sqrt(104) - (sqrt(104) + -4*sqrt(104))) + sqrt(104) + sqrt(104))*-3)\/(-5*-1*-1*sqrt(128)).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -3, -12468, 1, -4 in descending order.\nAnswer: 5, 4, 1, -3, -4, -12468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*g - 1 - 231*g**2 + 1 + 230*g**2 + 0*g.\nAnswer: -g**2 + 52*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-1)*18\/(-9). Let b = 1 - 1. Let g(s) = -28*s**3 - s - 1. Let u be g(-1). Solve -16 = 3*p + o, u = -5*p - c*o - b*o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676.5637524 less than 430.5?\nAnswer: -2246.0637524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 5:03 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51185889 is divided by 17061952?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2040680.\nAnswer: 2, 5, 17, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11502534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -65, -2, 2, 15.54?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*f**3 - 12*f - 10*f**4 - 73*f**3 - 1 - 77*f**3 to w*f**4 + g + x*f**3 + t*f + c*f**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (276\/(-15) + 17)\/((589\/(-19))\/1860).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3175\/1228 or -2?\nAnswer: -3175\/1228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1017.8511 + 0.5489. What is d rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322480, -322409, -322338?\nAnswer: -322267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 3362998*h\/3 - 560500\/3.\nAnswer: 2*(h - 280250)*(6*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/7 - (-27)\/(-21). Let t(w) = -2 + 31*w + 3 - 33*w. Let b be t(y). Put -4, b, -3 in increasing order.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6409, 6410, 6411, 6412, 6413, 6414?\n\"Answer: l + 6408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403.2706 centuries to months.\nAnswer: 483924.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1836 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 9:22 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 2*n**2 + 2*n**4)*((0 + 12 - 4)*(-2 + 1 - 1) + (-4 + 2 + 3)*(-4 + 2 + 0)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186 by 6.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19926, -52928, -85926, -118920, -151910, -184896?\nAnswer: -217878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 513.383nm in millimeters?\nAnswer: 0.000513383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392025 is divided by 364.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36518311.1 rounded to the nearest 10000?\nAnswer: 36520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -588, -1176, -1766, -2358, -2952?\nAnswer: -3548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/20 + 1)*(1 - 4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95491274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from krkkkkkkkkkkkkkkkkkk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -389061621*q**2 - 1052659688*q?\nAnswer: -778123242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -451 = -448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aazhaaazbaazahaay. Give prob of picking 1 z and 1 h.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88*h**2*n**2*t + 2*h**2*n**2 + 9*h**2 + 54*h*t + 21*n**2 wrt h?\nAnswer: -176*n**2*t + 4*n**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x - 42*x + 117*x - 544 - 534 - 47*x.\nAnswer: 6*x - 1078","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*c + 23575 - 53593 = 42894. Calculate the highest common factor of c and 882.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -920*c**3 - 910*c**3 - 912*c**3 - 915*c**3 + 3656*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 2*a**2 - 4*a - 4. Let v(b) = 4*b**3 - 7*b**2 + 13*b + 13. Calculate -7*k(s) - 2*v(s).\nAnswer: -s**3 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -151?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**4 + 13076*x**3 - 5228504*x**2 + 10404736*x = 0.\nAnswer: 0, 2, 464, 2803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(13) + -1) + -2*sqrt(13) + 1 + (sqrt(156) + sqrt(156) + 2*sqrt(156) + sqrt(156))\/sqrt(12)*-3.\nAnswer: -12*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 7:54 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2307 + 2436. Calculate the remainder when f is divided by 70.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.057 * -0.1.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/1*0 + (-48 - -47). Let v(y) = -y**2 - 1. Let g(j) = 2*j + 3. Give o*g(p) - 3*v(p).\nAnswer: 3*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 7. Let q(d) = -d**3 - 9*d**2 + 9*d + 13. Let v be q(-10). Let m be (-2)\/v + (-4758)\/299. Determine w(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -229, -2, 2, 3 in ascending order.\nAnswer: -229, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -579, -588, -609, -648, -711, -804, -933, -1104?\n\"Answer: -m**3 - 2*m - 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1008 - 508 - 500 + 5*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + -10244?\nAnswer: -10214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000102596031 rounded to seven dps?\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**37)\/((h\/(h\/(h*h\/(h*h**(-1\/46)))*h))\/h)*(h**(-8\/3))**(2\/15))**13 assuming h is positive.\nAnswer: h**(1039337\/2070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqadq. Give prob of sequence aq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-44)\/(-341))\/((-52)\/(-806)). Factor -228\/5*r - 6\/5*r**h - 2166\/5.\nAnswer: -6*(r + 19)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(-42)*7\/(-2). Solve 0 = -4*g + 6 + x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) 8 (b) -0.3994 (c) -17 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m + 11*m = 4*x - x, 0 = -4*x + 10*x - 5*m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 311, 483, 673, 887, 1131?\nAnswer: 1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 34. Let k = 11 - 29. Let u be h(k). Suppose 0 = -i - u*p + 72, -132 + 429 = 4*i + 5*p. Is 39 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-14) - ((-2600)\/14)\/(-25)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 830 - -4?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 7 - 0 - (-4 + (2 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cicgggregccgccgcgic. What is prob of picking 1 c, 1 r, and 2 g?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -289.04 and 158.2.\nAnswer: -45726.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, f: 1, r: 1, u: 4, z: 3}. Give prob of sequence fz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0296 + -2.5?\nAnswer: -2.4704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1003764 milligrams in kilograms?\nAnswer: 0.0000001003764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 35*m + 153. What is c(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -i - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 + 45. Let k(s) = -3*s - 4. Let a be k(z). What is the second derivative of -9 - 17*j**a + 34*j - 65*j + 9 wrt j?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jiizuqzzjrrirq. Give prob of sequence iur.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**6\/36 + o**5\/60 + o**4\/24 + 11*o**3\/6 - 7*o**2 + 2. Let f(z) be the first derivative of u(z). Calculate f(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b. Let p(r) = 190*r. Give p(x(z)).\nAnswer: 760*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*r**2 - 95*r + 95*r.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-12))\/((-3)\/(-8)). Solve 16 = -g*f - p - 5, 3*f + 10 = 5*p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 1443783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8043403 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1 + 1)\/(-3))\/3. Suppose -50 = -5*i - h + 4*h, -3*i + h + 26 = k. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.019*3274.\nAnswer: -62.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22.11277109 and 0.3.\nAnswer: -21.81277109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -11*u + 14*u. Suppose -11 = 5*r - 36, r = -4*a + 49. Let v be (-3)\/((-1)\/(-4) + -1). Solve -v*g = a + u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 33 = -7*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 c when three letters picked without replacement from jjaccjgjjgcrgoacjgr.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**2 + 335400*y - 7030822500 = 0.\nAnswer: 41925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2\/5 - 1686*h\/5 - 236883\/5 = 0. What is h?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 766953759.9999991 - 766953836. Let j = -5.6 + 81.6. Let z = r + j. Round z to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320 - 806 = 54*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -420, -927, -2004, -3657, -5892, -8715?\n\"Answer: -d**3 - 279*d**2 + 337*d - 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2 + 2*x - 5. Determine r(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 8:33 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*t + 128*t + q = 2, 5*q = 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1327*q**2 - 1929*q**2 + 1930*q**2 in the form c + g*q**2 + j*q and give g.\nAnswer: 1328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152432.\nAnswer: 2, 7, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 100303?\nAnswer: -100310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + -10. Let x be 2*(-3)\/(w\/(-85)). Let o(v) = -v**3 - 17*v**2 + 18. Let h be o(x). Is h <= 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7049466 millennia to centuries.\nAnswer: 7.049466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -9*u**2. Let a(q) be the first derivative of 7*q**4\/3 + 180*q + 142. Let v(x) be the first derivative of a(x). Determine v(p(g)).\nAnswer: 2268*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-40))\/((-7758)\/(-8620))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*t + 1598 - 1620. Solve -3*z = -t*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 2*k + 0*k**2 + 3 - 2\/3*k**3. Factor n(a).\nAnswer: -2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-155 - 62 - 117)*(0*n - n + 0*n) + (4 - 1 + 0)*(3 + n - 3).\nAnswer: 337*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1070, 1209, 1346, 1481?\n\"Answer: -j**2 + 142*j + 929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o - 5*o - o)*(o**2 + 10 + 0*o**3 - 3*o**2 - 2*o**3) - 5*o**4 + o**4 + 3*o**4 to the form k*o + h*o**2 + n + x*o**4 + p*o**3 and give k.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*705585\nAnswer: 141117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-8)\/(-20))*(1 + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2562 and 138?\nAnswer: 58926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 123*t - 125*t - 12 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -12 + 10)*1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4583*r**3 + 3*r**2 - 6*r. Let u be i(6). Suppose 0 = 2*q + q - u. What is q rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -137 + 2*k - 5*k + 137. Let z(n) = -5*n**2 - 21*n. Let r(w) = -3*w**2 - 11*w. Let u(h) = 7*r(h) - 4*z(h). Let q(m) = 5*s(m) + 3*u(m). Factor q(p).\nAnswer: -3*p*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*x + 17. Let t = -8 + x. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 3*s**2 + 6*s + 4. Let d = -5 - -10. Let x be z(d). What is the units digit of (-4)\/x - (-23)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486 = -4*f - 3*i, 4*f + 484 = 8*f + 4*i. Suppose 3*k = p - 120, -p + 2*k = -f - 1. Is 19 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*(10 + 37 - 48)*(363\/(-357) + 1)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 5, r: 1, s: 1, w: 2}. Give prob of picking 1 r and 1 n.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**3 - 6*v**3 - 13*v - v**4 + 12*v as d*v + a*v**2 + t*v**4 + i*v**3 + k and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -352*m. Let f be d(-3). Suppose 2*s - f = -2*s. What is the greatest common factor of s and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 806099?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*x\/x**3)\/(x*x**12\/x*x*x\/x**3) assuming x is positive.\nAnswer: x**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 125*l**4 - 395*l**3 + 310*l**2 - 40*l = 0. Calculate l.\nAnswer: 0, 4\/25, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b7 + 0?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099239.\nAnswer: 3, 23, 89, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -63650 (base 8) to base 9\nAnswer: -40354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -283 - -281. Let t = 13 - 6. Let w = -4 + t. What is the nearest to -2 in 5, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 443 and -0.1.\nAnswer: -44.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -28*z + 43. Let k be (-8)\/(-10)*(-30)\/(-4). Solve -2*l + k = -z*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - 9. Let f = 10 + g. Let w(i) = -i**2 - 7*i + 1. Let x(y) = 2*y**2 + 13*y - 2. Determine f*x(l) - 11*w(l).\nAnswer: -l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.8 and 115?\nAnswer: 113.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**4 - 3*s**4 - 2*s**5)*(13023 + 5622 + 1432 + 2830).\nAnswer: -45814*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 152*d**2 - 397*d - 37161. What is i(-151)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5367547860?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.037289 + -8.386011. Round y to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 16) in base 3?\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p + 92 - 143 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 318 and 392253?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b2a (base 12) to base 15.\nAnswer: -27da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 15. Solve y = 2*k + 6 + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1142*t**2 + 93*t + 651. What is the thousands digit of x(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 41*k - 97. What is the remainder when a(19) is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77604 (base 9) to base 7\nAnswer: 303130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/(3\/45). Let b(u) = -19*u - 52. Let d be b(-3). Let n(w) = w - 5. Let o be n(7). Solve -d*c - 6 = -o*j - 16, 5*c + 5 = t*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 25*q. Let x(l) be the first derivative of -l**4\/4 + 5*l**3\/3 + 3*l**2 + 13*l + 6. Calculate the remainder when k(1) is divided by x(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 7*m**2 + 3*m - 7. Let s = 6 - -1. What are the prime factors of z(s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/5, 5, -0.046 in decreasing order.\nAnswer: 5, 16\/5, -0.046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 4)*(-2*b - b + 4*b)*(4 + 0 - 1) as k*b + q and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -2506487.172799?\nAnswer: 2506490.172799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2 - 1) + 3 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from ccyaaayayaayy?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2*y**(-5\/4))\/(y**(-11)\/y**(3\/2)))**(2\/5) assuming y is positive.\nAnswer: y**(53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4)**20)**(2\/185) assuming z is positive.\nAnswer: z**(32\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*y - 20 = -0*y, 3*c - 2*y = 42. Suppose 6*h - c = 2*h. Let k = -8 + 20. Solve 3*v = -4*w + k + 3, -4*v + h = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 315.8 + -319.8. Let x = 4\/97 + -246\/1261. Put -2\/45, x, z, -0.5 in descending order.\nAnswer: -2\/45, x, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 2*t**6\/9 - 28*t**5\/15 + 16*t**4\/3 - 16*t**3\/3 - 80. Factor z(i).\nAnswer: 4*i**2*(i - 3)*(i - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**3 - 4045*z**2 + 2*z + 3934.\nAnswer: 6*z - 8090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254024269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 11:30 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -31. Do r and -12\/17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 2*z + 5. Let w be c(3). Suppose 0 = -5*o - w*o + 21. Let g(y) = -25*y + 80. Let r be g(3). Solve -2 = o*p - r*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1961972.\nAnswer: 1\/980986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246642*x - 329 + 1588 - 246633*x.\nAnswer: 9*x + 1259","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) - 17\/(-3). Suppose -w + 0 = 3*j - 8, 8 = 2*j + 2*w. Calculate the remainder when 147 is divided by (-34 - 3)\/(j\/(4 - f)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:48 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.25 - 20. Let i = r - 0.25. Is i not equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -25*i + 143 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11048 * -6463.\nAnswer: -71403224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 18. Calculate the remainder when 64 is divided by (i - -5)\/(7\/105).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-208)\/(-78))\/2)\/((-115)\/45 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13392236 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (-6 - (-7 + 0)) + -9.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.188 - -771.812. Let r = o + -545. Let u = r + -228.258. What is u rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*j + 4*n, -4*n + 6*n = 5*j - 65. What is the highest common factor of j and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5 + 58*o**4 + 636*o**3 + 1784*o**2 + 1520*o = 0.\nAnswer: -5, -2, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6527361634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31050 - -1034235?\nAnswer: 1003145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 239, 500, 761, 1022, 1283, 1544?\n\"Answer: 261*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -713.08 + 733. Let y = -20 + t. What is y rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 3, -5\/2, -4, -1\/2, 3.57?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - j = -3, 4*j = -5*p - 1 + 13 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 56*t - 1866. Let w(g) = -4*g**2 - 222*g - 7465. Let y(o) = -25*s(o) + 6*w(o). Differentiate y(f) wrt f.\nAnswer: 2*f + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - -122?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 6. Suppose -34 = -5*f + 26. Let l be v(f). Suppose l*y - 3*y - 15 = 0. Which is the biggest value? (a) 1\/4 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -38.84. Let u = 0.24 + -0.4. Let t = u - o. Which is the nearest to t? (a) -4 (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*h - 225848 = 3*h, 4*h - 16 = 0. What is the units digit of (-4)\/(-14) - (10 - x\/(-84))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3*o - 3*k**3 + 33*k**2*o**2 + 7*k*o**2 - k + 8*o**2 wrt k.\nAnswer: -6*k*o - 18*k + 66*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.29 and 56?\nAnswer: 16.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15030*p - 15030*p + 193*p**2)*((-3 + 2 + 0)*(5 - 2 - 1) + 1 - 1 - 1).\nAnswer: -579*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -369 + 167. Let o = -17401.5819 + 17199.59. Let z = o - x. What is z rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 12 = 4*y. Let u be y\/(-1) + 2 + -2. Solve -12 = 4*j - 2*j + 2*a, 5*j + u*a = -26 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - o + 22 = 2*l, -2*l + 26 = -5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-652)\/(-18) - 18\/81. Let g be (-4)\/(-18) + 1288\/p. Suppose -u + 12 = 2*u. What is the greatest common divisor of u and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 41.40806ml?\nAnswer: 0.04140806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -414 * 24801.7\nAnswer: -10267903.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (20\/6)\/(1075\/3225)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - -5 - 393\/21. Let k = 20 + o. Solve 4\/7*p**2 - k*p**3 + 0*p + 0 = 0 for p.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 8. Suppose n*k - h = h + 14, -h = 3. Let g = k - 2. Solve -g*c + 11 = -w, 7*c = 5*w + 2*c + 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 3*t - 9. What is q(10)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 0.07, -65?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 9*y**2 - y - 7. What is the smallest common multiple of 8 and o(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3255, -6509, -9763?\nAnswer: -13017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28072 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/5, 10, 1\/10, 0.2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**3 - 2*u**2 - 12*u - 36. Let x be m(-8). What is the greatest common factor of x and 297?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2740*a**2 + 2*a**3 + 2740*a**2)*(-2580*a + 2580*a + 554*a**2).\nAnswer: 1108*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 17*m - 33. Let c be w(-9). Let o be (-1264)\/(-96) - (-2 - c\/(-18)). Solve -4*s - y = o, -6*y + 4*y = -s - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 3*y - 35 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46.9 - -21.1. Let d = -5000932842 - -5000932910.000000025. Let g = d - c. Round g to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 748\/25 - 30. Let x = w - -43\/225. Suppose 0 = -0*m + 3*m. Which is smaller: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/7 - (-4)\/(-14). Suppose -2*w - 2*d = w + 16, w - 5*d + 28 = 0. Let y = w - -11. Solve -11 = -3*c - b, -5*c + 6 = y*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 14. Let p be l(-18). Let s = p + 6. What is the remainder when 129 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -3, 2*b + 12 = 3*b - 5*t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 7. Let q = 40 - z. Let g = 16.2 + q. Sort -2\/9, g, 0.3 in increasing order.\nAnswer: -2\/9, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92005*i + 320 + 184002*i - 91999*i.\nAnswer: -2*i + 320","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2*m. Let l be m\/(-1 - (-1 - -1)). Solve -9 = -5*j - k - 2, l = -j - 5*k - 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/28158 and 63\/572.\nAnswer: 619476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c + 10*c - 324 = -c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 2*t - v + 4 = 0, 0 = 3*t + v - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -35. What is the greatest common factor of r and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 37. What is the fourth biggest value in d, 1\/10, -0.5, -1\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.81 - 2.37. Let c = o - -1.4. Let b = c + 0.26. Is -0.5 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 221 + 12?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 2:44 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7644)\/(-1078))\/((-12)\/(-9944)).\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/29 in -0.5, -1\/466, -2, 1\/6, 1?\nAnswer: -1\/466","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 11, q: 5}?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2692875 divided by 897625?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 419 + -113 - 142 - 58?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 4*c**2 + 0*c**2 + 5*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -5\/1678 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/22)\/(1224\/1870*120\/18).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 607, -3, -17 in decreasing order.\nAnswer: 607, 1\/4, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b**2. Let j(c) be the third derivative of -2*c**5\/15 - 154*c**2. Give j(x(z)).\nAnswer: -288*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272191 (base 14) to base 13.\nAnswer: 383849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2605652g in micrograms?\nAnswer: 260565.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 4*w + 277 - 262, 8*w - 39 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3956227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*g**2 - 24*g + 16*g + 8*g + 25*g**2.\nAnswer: 85*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-6)\/a)*a*a**4*a**(-1)\/((a*a\/(a**(-3)\/a))\/a*a)*(a*a*(a\/(a**(-1\/3)*a))\/a)**(2\/55)*(a\/((a*a\/(a\/a**(-4)))\/a))\/a**(-3) assuming a is positive.\nAnswer: a**(2318\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-267)\/(-89))\/(-2*(-2)\/(-492)*-9)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.057195 centuries to millennia.\nAnswer: 0.0057195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/32, -0.093, 28\/3, 14 in descending order.\nAnswer: 14, 28\/3, -0.093, -5\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 217, 245, 275, 307, 341, 377, 415?\n\"Answer: b**2 + 25*b + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 46011888 and -67.\nAnswer: 46011821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 5*j + 3. Let u be n(-4). Let g(z) = -20*z**2 + 2*z. Let x be g(u). Let b = x + 25. Solve 4 = -b*y - y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32747 and 9.\nAnswer: -294723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 + 4*h + 23. Let i(k) = -k**3 + k - 19. Suppose 0*f - 3*f = 0. Let z be i(f). Let v be n(z). What is v rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:48 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1 (c) -0.0285 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 36. Suppose -t*a = -15*a. Suppose c - 1 = a, m - 14 = c - 2*c. What is the remainder when 36 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1055.\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -247*c**2. Let x(y) = 13*y**2 + 4*y - 61. What is x(i(k))?\nAnswer: 793117*k**4 - 988*k**2 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 6:40 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3.79. Let m = 0.26 - o. Which is smaller: m or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -360, -357, -352, -345, -336, -325?\n\"Answer: r**2 - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-32)*17\/(408\/(-16))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 379221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27259 - 27250. Let v(i) = i**2 - 22*i + 111. What is v(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9422 - 9366. Calculate the highest common divisor of 238 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 2. Suppose 15 = 5*k - 5. Calculate the remainder when 10\/k*(-6 + 16) is divided by n(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -19*s - 138. Calculate r(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/2 - 6\/4. Let f = w - -38. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42\/1321? (a) 2\/7 (b) -0.1 (c) 2\/11 (d) -4 (e) 2\/3 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 1) + (-15 - -9). Let o be (h - -12)*(-1)\/(-3). Suppose 6*y = 13 - o. Solve -y*g = -4*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*j - 36*j - 2*j**4 + (-1 - 3*j**2 + 0*j**2 + 3)*(-4*j + 4*j + 3*j**2).\nAnswer: -11*j**4 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*k - 14. Let p be (58\/10 - 4)*(-50)\/(-6). Suppose 129*i = 126*i + p. Sort k, -6, i.\nAnswer: -6, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1287657, -2575314, -3862971, -5150628, -6438285?\n\"Answer: -1287657*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1.1, -3 in decreasing order.\nAnswer: 3, -1.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o*s**3 - 2840*o*s**2 - o*s - 2*o + 73496*s**3 - 1 wrt s?\nAnswer: 6*o + 440976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5259, 10462, 15661, 20856?\n\"Answer: -2*p**2 + 5209*p + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 110111010001011010 (base 2) to base 14\nAnswer: 5c710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 2*h**4\/15 + 34*h**3\/15 - 18*h**2\/5 + 36*h. Factor f(v).\nAnswer: 4*(v + 9)*(2*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 13*r**2 - r - 5. Let h(o) = -10*o + 8. Let w(t) = -t + 1. Let d(a) = -3*h(a) + 24*w(a). Let c be d(2). Is f(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -56*p + 6. Let a be b(2). Let y = -88 - a. Let d(r) = 10*r - 5. What is the remainder when d(4) is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(75) + 3)*5.\nAnswer: -75*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2713568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1878)\/(-5008) + -5*(-315)\/(-40).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*v = -2352, 0 = -3*n + n + 5*v - 1176. Let p(t) = -16*t**3 - t**2 - t - 11. Let k be p(-5). Let l = k + n. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 9 = 207. Let y = w + -54. Suppose 0*l + 11 = 3*s - 5*l, y = 2*s + 5*l + 1. Solve 0*o - s*o + n = 4, 4 = -4*o + n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -0.4 (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - -102012102?\nAnswer: 102011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6293\/(-62))\/29*(-4)\/(-91)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 147, 1 in increasing order.\nAnswer: 1, 3, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 203043 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, s: 1, t: 1, e: 1, x: 1, y: 2}. What is prob of picking 1 o, 1 x, 1 s, and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 7:46 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31345 by -5.\nAnswer: 6269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 61 (b) -4 (c) 2\/39 (d) 148 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 326864 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -30*j**3 + 6*j**2 + 10*j + 11. Let b be x(-3). What is the greatest common factor of b and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 4:07 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**3 + 30*b**3 - 62*b**3.\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5093 = -1748*w - 20238 - 23311 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 65.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**3 - 80*s**2 - 1932*s + 38808 = 0 for s.\nAnswer: -22, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1482*g + 11862. Determine c(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 42230*r**3 + 42204*r**3 - 2*r**2 + 6*r + r**2.\nAnswer: -26*r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g + 8. Let c(t) = 11*t - 18. Let u(r) = -7*a(r) - 3*c(r). Give u(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 6 = -s + 2*t, -3*s + 5*t = -15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l. Let q(r) = 11*r - 25. Let i be q(3). Suppose -2*v - 42 + i = 0. What is the tens digit of u(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 5260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*n + 2*n - 86, -4*f - 14 = -n. Let m = -15 + n. Suppose 101 = 2*w + m. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (17 + 2)) + (-2 + -5 - -19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (6 + -15) - (-3 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1bb4 (base 14) to base 8\nAnswer: -11702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*b + 23*b - 29*b + 65*b in the form t + z*b and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-56)\/(-32) - 2\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84004*f**3*u**2 + 65733*f**3 - f + 2*u**3 wrt u.\nAnswer: 168008*f**3*u + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 9*b**2 + 15*b**2 - 21*b**2 + b**2 + 5*b**2 - 4*b**2 + (3*b - 2*b + 0*b)*(0*b + 0*b + 2*b).\nAnswer: 7*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74381267?\nAnswer: 74381267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1292600 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159353, 318958, 478563?\nAnswer: 638168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**3 + 140*a**2 + 980*a + 1360 = 0.\nAnswer: -4, -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -30. Suppose -3*q + 6*y + 17 = 8*y, 0 = -5*y + b. Solve 0*o = -q*n - 3*o + 12, -3*o = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 23. Let g be (-10)\/(-1) + -3 - v. Which is greater: 3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -12*p**2 + 8*p - 8. Let m be (-4)\/6*(5 + -28 - -11). Let d(l) = -4*l**2 + 3*l - 3. What is m*d(v) - 3*n(v)?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90232 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 10 + 8219*s**3 - 510*s**3 + 2*s to v*s + y*s**3 + f + q*s**2 and give y.\nAnswer: 7709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*q**4*v**3 + 38*q**3*v**3 + 3*q**2*v**2 + q**2 - 18*v**3 wrt q.\nAnswer: -144*q*v**3 + 228*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 12*v**2. Let a(f) = -9*f**2. Determine a(t(q)).\nAnswer: -1296*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 - 87. Suppose 0 = -3*m - 23 + l. Solve -3*x = -5*a + m, 4*a + 0 - 4 = 4*x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11 and -241188.\nAnswer: -241199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1108, 1211, 1374, 1597, 1880, 2223?\n\"Answer: 30*x**2 + 13*x + 1065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3 - 2*q + 6*q + q. Let l(t) be the first derivative of -3*t**2\/2 - 2*t - 1. What is -7*l(r) - 4*n(r)?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 100 in 0, 4\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1007.2 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*j - 17 - j**2 - 152*j + 310*j.\nAnswer: -j**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 103906223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shs when three letters picked without replacement from sssasaaxrhsrzxhsrra.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*y**3 + 414 - 52*y**3 - 414.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -663, 1991, 4 in increasing order.\nAnswer: -663, -2, 4, 1991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f**3 - 3*f**3 - 8*f**3)*(0*f + 2 - 3*f + 11*f).\nAnswer: -152*f**4 - 38*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 15*h + 5. Let x be p(15). Suppose 3*s = x*s - 3*c - 7, 2*s - 2*c = 8. Suppose 0 = -s*i, 2*q + 0*q - 10 = 3*i. Solve -q*k + 6 = -9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11242 or 14883?\nAnswer: 11242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 20*d - 196. Suppose 32*y = -68*y + 900. Calculate f(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -676, -689, -704, -721, -740, -761?\n\"Answer: -r**2 - 10*r - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d. Let r(n) be the first derivative of -n**2\/2 + 255*n + 674. Determine w(r(c)).\nAnswer: -c + 255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/9 - 85*b\/3 - 936.\nAnswer: -(b + 39)*(b + 216)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -21670, -80149, -194032, -381787, -661882, -1052785?\nAnswer: -1572964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*(5628\/(-24))\/(2\/((-192)\/84)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66657 - -66660. Factor 7\/3 + 11\/2*t**2 + 11\/6*t**q + 1\/6*t**4 + 37\/6*t.\nAnswer: (t + 1)**2*(t + 2)*(t + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 17*g - 9. Let o(f) = -36*f + 17. Let r(t) = 10*l(t) + 6*o(t). Let d be r(1). Let w = d + 50. Solve -x - w = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (sqrt(567) - (sqrt(567) - 1*(sqrt(567) + 3)))) + (sqrt(567) + -3)*-2 - -6*(2 + sqrt(567)*-1 + 0))**2 + 2.\nAnswer: -2160*sqrt(7) + 36515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23271 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 11 - 5 = 5*f, -5*q = f - 1. Let i = 0 - f. Suppose 50 = 5*k - 5*w, i*k + w + 0*w = 50. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2178)*-1)\/(sqrt(90)\/(sqrt(40)\/sqrt(4))))**2*5.\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1909*b**2*w - 179*b**2 - 2*b wrt w?\nAnswer: 1909*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 11*j**2 - 19*j**2 + 5*j**2 - j + 7*j**2. Let m be k(1). Suppose -p - 2*g - 4 = 2*p, -m*g - 6 = 4*p. Solve 0 = -5*w - p*w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.56 - 1.\nAnswer: -10.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-five quarters of a microgram?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/74308 and 18\/87169?\nAnswer: 4532788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(352\/42)*16)\/1\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61386\/11 - 671191\/88. Let p = x - -2042. Calculate the common denominator of p and 57\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -2 - (-23 + 3 - -48).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 13\/3*u**3 + 0*u - 8*u**2 - 1. Find the second derivative of f(k) wrt k.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-9) - 50\/18. Let c be (-13)\/(-3) - d\/(-9). Solve -2*r = -5*x - 13, 5*x = c*r - 5 - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 412 + -291. Let o = 282 - x. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -24, 104, -567.\nAnswer: -567, -24, -5, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 613175851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -127, -178, -245, -334, -451, -602, -793?\n\"Answer: -r**3 - 2*r**2 - 38*r - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 3 + 17 - 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -236 - -235.9774. What is m rounded to 3 dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1705774 years in centuries?\nAnswer: 0.001705774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m + 83*m = 0. Solve -9*h + 53 + 1 = m for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28825 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.3 - 12. What is the biggest value in 3, 2, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 7:01 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2352 (base 9) in base 11?\nAnswer: -134a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3. Is 1 + (20 - (h + -2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v - 1. Let f be 4\/6 + (-15)\/(180\/56). Let x(w) = 44*w - 3 + 1 - 45*w. Let d(p) = 4*p + 7. Let s(q) = 2*d(q) + 7*x(q). What is f*s(o) + m(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 677295415?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 11:27 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37330056 divided by 9.\nAnswer: -4147784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 10*s**2 - 5*s + 42. What is the tens digit of d(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1656 = -1741659*h + 1741705*h for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534449 is divided by 913?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 10. Let x be ((-12)\/r)\/3 - -1. Suppose -33 = -2*p - x. Solve -3*n + 0*n - p = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*r**4 + 2*r**2 + 15*r - 5384?\nAnswer: 108*r**3 + 4*r + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -21*g**3 - g**2 - g. Let n be o(-1). Solve 6 = 2*h - v + 3*v, n = -h + 5*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - -1*sqrt(3300))\/sqrt(3) - -3*sqrt(33)\/sqrt(3)*2.\nAnswer: 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 175804148 divided by -13\nAnswer: -13523396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*r = 31*r - 6536 - 5179. What is the highest common divisor of 815 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.05 (b) -3\/2 (c) 2\/11 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 44.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.981417 nanograms in milligrams?\nAnswer: 0.000001981417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -291623889 divided by -619159?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2200960*k*x**3 + 5905851*k*x**2 + 2*k*x - 3*x**3 + x wrt x.\nAnswer: -13205760*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-7 + 25)*(196 + (-36)\/6). Solve -13 = 4*y - 3*l, -c*y + 1 = -90*y + 2*l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 s when two letters picked without replacement from eisosiiiiiieji?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -200, -284 in descending order.\nAnswer: -10, -200, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -86, -81, -76?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**2\/2 + 1454194170*v - 211468068406198890 = 0. What is v?\nAnswer: 290838834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -23005*d. Let p(o) = -7664*o. Calculate 3*f(n) - 8*p(n).\nAnswer: -7703*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + y + 31, 5*r + 0*y - 3*y = -43. Let s be 28\/(-66) + r\/(-6). Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 0.44115?\nAnswer: 0.44115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3638 - 3708) + (36 - -1)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -1)*(3 - 4). Suppose -1 + l = p. What is the units digit of 41 - p\/(1\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 239, 476, 713, 950, 1187, 1424?\n\"Answer: 237*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*r = -32*r - 7056. Calculate the highest common factor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69837601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -14*r - 83. Let k be y(-22). Suppose 4*m - 5*o = k + 330, 4 = 4*o. List the prime factors of m.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggn when three letters picked without replacement from ngssnogngssnnnngnoo.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Sort g, -0.02, 4 in increasing order.\nAnswer: -0.02, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 13\/(-195)*-3*0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 766150\/(-24875)*(-50)\/(-11).\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/50 and -28\/41750865.\nAnswer: 417508650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16605, -16125, -15645?\nAnswer: -15165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.1. Suppose k - 5*q - 11 = 3*k, -3*k = 5*q + 14. Sort s, k, -8 in descending order.\nAnswer: s, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54177 - -98180. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 0.1626?\nAnswer: -0.5626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -14*k. Let g(a) = -429*a**2. Give g(h(b)).\nAnswer: -84084*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -48*w**3 + 4323*w**2 - 279*w + 816. What is p(90)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4000662?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 0*n - n + 8, -25 - 66 = k + 35*n - 23 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 21 = 2*u + z, 2*u + z = -9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l. Let h(p) = 131*p. Determine h(z(v)).\nAnswer: 262*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, e: 5, p: 2, o: 8, s: 1}. Give prob of picking 1 s and 2 r.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 76 + 82 = 0. Let g be 1\/(h\/(2 - -4)) + 5. Let q be -3 + (-2 - (-11 - g)). Solve 2*k + q = -2*y - 2*y, 0 = -2*y - 4*k - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 + -215 - -123 - (-23 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2 = -32. Which is the second smallest value? (a) 4 (b) -2 (c) 3\/5 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(16) + sqrt(64)\/sqrt(4) - sqrt(16))*-6)\/((sqrt(72) - -1*-2*sqrt(72))\/sqrt(9)).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from yyyyyyyyyymymmmyyy.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 37 (b) -0.214 (c) 0.3 (d) -13 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/2 - 7*z**2\/2 - 7*z - 4 = 0. What is z?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8.47 * 907419\nAnswer: -7685838.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 739 = -3*p, -5*a - 29 + 509 = 2*p. Let w = -43 + p. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 + -0.2. Let b = 18.1 + -17. Let w = t + b. Is w > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5208 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1232 and 28512.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 5*c - 1. Let h be g(5). Let y be h\/(-4) - 21\/(-12). Let s = 9 - y. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01902 - 4087.98098. Let v = a - -4099.991. Let i = v - 12. What is i rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 4*o + 6, 7 = 3*o + 1. Let a be t - -1 - 4\/(-2). Suppose -k + 4 = k. Solve 3 = f + 7*m - 2*m, -k*m + a = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*c + c + 5*j, 3*c - 6 = 3*j. Suppose -c*x + 5*x - 87 = 0. Calculate the remainder when x is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 303 and 303.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -6*u**2 - u - 5. Let t = -78 + 78. Suppose -3*z = w + 1, 5*z + w + 3 = -t*w. Calculate l(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 12:00 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 15*h - 16*h - 44 = 0, -w = -4*h - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 8 - 2 - (2 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/(-18))\/((-1)\/12). Solve -y*k + 2*k = -2*z - 2, 0 = 3*z + 2*k + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 5, m: 11}. What is prob of picking 1 q and 2 m?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/8*16\/10. Let k = 20 - 34. Let h = d - k. What is the highest common factor of 198 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y + 34. Let l be b(-9). Let s = l - -7. Calculate the remainder when 51 is divided by 4\/3*(14 - s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**3 - 4*g**3 - 2*g**3)*(457*g**2 + 7 - 658889*g - 31*g**2 + 658887*g - 2*g**2 + 4 - 4 + g**2 + 0*g**2 + 0*g**2 + (g + 2*g - 5*g)*(0*g + 2*g + 0*g)).\nAnswer: -421*g**5 + 2*g**4 - 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 7 + -7 + 3. Which is smaller: l or -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109 and 76409?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (22 - 10) - (-5 + (27 - 14))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 6*h + 0 = -1, 0 = 2*l - h - 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*d - 6 = -2*d, -7*r = -9*r - 39*d + 88 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*b*b)**(-11)\/(b**(-2\/7)\/(b*b\/b**(2\/31))) assuming b is positive.\nAnswer: b**(12417\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 596*o - 3769. What is y(7)?\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 - 10*j**3 + 2*j**3 - 24*j**3.\nAnswer: -30*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + 11 + 1 + 53 + -62 - -84.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -613\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*k + 181 = -19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -45, 2\/9 in ascending order.\nAnswer: -45, -3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8335\/2172 - -3\/724. Find the common denominator of ((-1)\/(-9))\/((-2)\/(-309)) and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.11 + 27. Let s = q + -0.89. Let z be 2\/3 + 11\/(-12). What is the closest to z in 1, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577040307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2107 and 13?\nAnswer: 27391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69*18\/(-138)*-3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j + 71046 = 18*j. Let c = 615807\/26 - j. Calculate the common denominator of c and -87\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 11 + 7 - 1 as q*m + f and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5136862 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16, -44, -82, -124, -164, -196?\n\"Answer: n**3 - 11*n**2 - 2*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 2)*((3*o - 2*o - 3*o)*(1 - 2 - 10) + 0*o - 3*o + 0*o) to b*o + f and give b.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/60014 and -9\/708814?\nAnswer: 26226118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 766.896ms in seconds?\nAnswer: 0.766896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2, -j + 5*j - 128 = -2*n. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(42240\/1240) + (1 - 105\/99).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -960018?\nAnswer: -960018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 2\/(-36)*28*99\/(-88).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 2:03 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akw when three letters picked without replacement from fwaafaakwakfw?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:41 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11678*g*o**4 + g*o**3 - 496*g + 4*o**3 - 34*o**2 wrt o?\nAnswer: 280272*g*o + 6*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 94*-7443\nAnswer: -699642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**4\/8 - t**3\/6 - 6*t**2. Let s be k(-1). Suppose s*i - 4*i = 0. Solve -c + 0*c + 2 = i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o. Let b(t) be the third derivative of 6*t**2 + 0*t + 0 - 7\/60*t**5 + 0*t**3 + 0*t**4. Give q(b(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/11 - 3226*x\/11 - 53352 = 0.\nAnswer: -1404, -209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 7:57 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.88 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211501974.\nAnswer: 2, 3, 23, 47, 32609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107066701.\nAnswer: 7, 151, 101293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-115)\/28 + 4)\/(6 - (-45)\/(-6))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -14*m**2 + 53*m - 65. Let d(s) = 16*s**2 - 54*s + 62. Let a(t) = -5*d(t) - 6*n(t). Factor a(q).\nAnswer: 4*(q - 10)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*z + 57 + 47 - 101 to the form p + c*z and give c.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 1:33 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225797490?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pphh when four letters picked without replacement from {z: 1, p: 4, h: 8}.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 386+0.039\nAnswer: 386.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = m - 3*u - 9, 2*u = -4*m - 28 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2078, 3914, 5750, 7586, 9422, 11258?\nAnswer: 13094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 - -101. Suppose -a + 3*a = -36. Let w = c + a. What is the lowest common multiple of 12 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -888 (c) 18 (d) 12 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/7 - (-2)\/7. Suppose 3*a + 0*a = -3*q, 4*q + 5*a = n. Suppose -j - 3 + 0 = q. Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.47 and -3?\nAnswer: -1.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 4, -1, 53187 in ascending order.\nAnswer: -1, 0, 2, 4, 53187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(0 - (-28)\/24). Let f(l) = 4501*l - 193. Let n be f(z). Round n to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + j)*(0 - 3 - 2)*(-5*j - 2*j + 4*j) + j**2 + 112*j - 112*j + 6.\nAnswer: 16*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 12, 21 + 31 = -5*k + 3*v. Let h be k*2\/(-4) - 1. Suppose 0 = -3*f - 0 + 12. Solve -f*t = -3*t + h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -14*j + 95. Is o(-42) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + f)*((3*f + 2*f - 4*f)*(223*f - 38*f + 26*f) + (0*f**2 - 3*f**2 + 0*f**2)*(-3 + 4 - 3)).\nAnswer: 217*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4))\/(3\/(-4)). Let i = 55 - 50. What is the smallest value in v, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40\/3 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**4*a*((a**0*a)\/a)\/a*a\/(a**5\/a)*a**(-2\/3)*a)**(-4\/25) assuming a is positive.\nAnswer: a**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -12, -l - 2*l = -5*a + 24. Suppose 2*m = -q + 27, q + a*q - 173 = 5*m. Suppose -q - 17 = -6*t. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 6*c**2 - 6*c. Let q be j(7). Suppose -q*r + 3*r = 0. Let z(u) = u + 46. Is z(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70956 and 16425?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -4. Let k = 128 - 122. Suppose -k*m - p = -0*m. Sort -2, 1, m in decreasing order.\nAnswer: 1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 51*p - 102. Let t be x(2). Which is smaller: t or -4\/25?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -324.5 + 254. Let s = 13.5 + b. Let j = 54 + s. What is the second smallest value in -4, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 + -3 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -u + 50, -6*v - 206 = -5*u - 4*v. Let k be (-12)\/u - 5948\/7. Round k to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 = -h + 85. Let i = h - -795. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/7))**(-17)*(g**(-2\/11))**(-4\/7) assuming g is positive.\nAnswer: g**(569\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1094*g - 1620 + 413*g + 1620 as j + x*g and give x.\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8368.201 days to seconds.\nAnswer: 723012566.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2878, -5754, -8626, -11494, -14358, -17218, -20074?\nAnswer: -22926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6418820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73612.\nAnswer: 2, 7, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*i - 46 = 3595 + 4067 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3)\/(v\/(v**(3\/5)\/v)))\/((((v*v**(-5))\/v*v)\/v)\/v**(1\/4)))**(-3\/20) assuming v is positive.\nAnswer: v**(-51\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**4)*t*t**(1\/10)*t\/(t**(-6)*t*t)*t**2)\/(t*t**(-6)\/t*t**(2\/7))**(-43) assuming t is positive.\nAnswer: t**(-16353\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 2*j - 11. Suppose -4*s = -32 - 12. Let h be m(s). Calculate the highest common factor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-237)\/(-316))\/((-14)\/(-8))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 14*p - 564. Let i be b(42). Suppose w - 36 = -2*w. Calculate the highest common divisor of i and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/19, 131, -2\/5, 7?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/7 in 2\/3, 0.3, 7, 44, -3, -71\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9538?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 5*v**2 + v - 1. Let k be x(5). Suppose -k*l + 12 = -0*b - b, 2*b - l = 11. Calculate the smallest common multiple of b and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 230*g**4 + g + 709 wrt g?\nAnswer: 920*g**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by -131204.\nAnswer: -39\/65602","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 5)*((-4)\/(-4) + -6). Let d be (0 + 2)\/(4\/(-30)). Let b = d - q. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cciiiciiiic. Give prob of sequence ccci.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010685 rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59048 and 366.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 76451.7ng?\nAnswer: 0.0764517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 167 - 2?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4 = 2*a + 9, 5*j - 10 = 3*a. Let p be (1 + -20)*(7 + -4). Let s be p\/27 - 10\/(-5). Which is smaller: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 14 + 6*l**2 - 4*l + 13 - 9*l**2 - 8. Let f(i) = 2*i**2 + 3*i - 13. Let c be (528\/32 + -20)*(1 + 1). What is c*f(o) - 5*m(o)?\nAnswer: o**2 - o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.132 + 110.868. Let o = -110.948 + x. Round o to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 + 20\/(-175). Let v = -85 + 80. What is the nearest to -0.1 in v, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -0.39, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -143 + -4?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5 = 5*j - 40, 3*o = 15. Let v be ((-15)\/2)\/5*-2. Sort j, -5, v in decreasing order.\nAnswer: j, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((12\/(-8))\/((-2)\/(-4)))\/(-9)*1602687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1333 is divided by 640?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 34 = -14 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252792186 to the power of 1\/3, to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**13*j*j\/j**6*j*j assuming j is positive.\nAnswer: j**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 = 3*g, -2*g + 0 = 5*x + 9. Calculate the smallest common multiple of 32 and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2. Let x be ((-860)\/(-70) + -11)\/(4 - 1). What is the nearest to h in x, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13412213 (base 5) to base 14.\nAnswer: -38641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2766 + -13831\/5. What is the third biggest value in b, 40\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**5\/120 - i**4\/12 - i**3\/4 + 9*i**2\/2 + 52*i - 20. Determine h, given that r(h) = 0.\nAnswer: -3, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/((-9350)\/408)*11\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**6\/180 + 7*w**4\/12 + 2*w**2 + 15. Let y(l) be the second derivative of m(l). Let j(d) = d. Give y(j(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -163*j + 82*j - j**3 - 4*j**4 + 9 + 81*j - 7*j**2 - 8 as h*j + l*j**2 + a + g*j**3 + r*j**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Express (-304*w + 2272*w + 2728*w - 1043*w)*(1 - 1 + w)*(-4*w + 4 - 4) as c + t*w**3 + m*w**2 + y*w and give t.\nAnswer: -14612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + -2. Let x = b + 10. Let g(i) = i**2 + 2*i - 4. Let f be g(x). Let l(t) = -3*t + 5. What is l(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5663837 is divided by 1941.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 35*s. Let m(l) = -557*l - 1. Give m(f(z)).\nAnswer: -19495*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-20) - (-2082)\/(-8). Round q to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -7*a + 66. Let l be (-5 - (1 - 1))*-1. Suppose -40 + 4 = -3*h - 3*i, 0 = l*h + i - 44. Calculate the smallest common multiple of h and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -w + 20, w = 35*l - 39*l - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7646*z**2 - 2 + 7656*z**2.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*a + 140 = 0, 5*a = 5*g + 3*a - 158. Suppose 2*h - 15 = 20*u - 17*u, -5*u = -5*h + g. Is -1 + 2 + u + 51843\/11 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 11*q = 6245. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 + 26?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 52\/20*(8 - 10) - 2\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24266375?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.423?\nAnswer: 0.0846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 2, -1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 796388468 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(448) + 0 + -5 + 3)**2.\nAnswer: -80*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 6. Let j be g(0). Put j, 3, -0.5 in decreasing order.\nAnswer: j, 3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -333, -502, -671, -840?\nAnswer: -1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**3 - 3*d**2 + d + 5. Let l(h) = -5*h**3 + 2*h**2 - h - 4. Give 3*l(n) + 2*x(n).\nAnswer: -3*n**3 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 120 - 28903\nAnswer: -28783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1279320350682 + 10.\nAnswer: -1279320350672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/(-35))\/((-6)\/(-4)). Which is the closest to f? (a) 0.3 (b) -2\/9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a gram in milligrams?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*u, -2*a + 4*u - 3 = -a. Let l(k) = k**2 + 10*k - 9. Let p be l(a). Solve 6*d - 16 = p*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -86*p**3 - 1047*p**2 - 5*p - 263. What is the derivative of l(u) wrt u?\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 14 (b) -0.4 (c) -1\/3 (d) 4\/30011 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/26 - (165\/26 - 6). Which is the nearest to 0? (a) 0.16 (b) m (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 4050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 415 and 6806.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 12:34 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/12 - n**3\/3 + 2*n**2 + 6*n. Let h(v) = 2*v**2 - 224*v + 651. Let x be h(109). Calculate m(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1155\/2772)\/(2\/(-8)*-10)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*v - 71. Suppose 0 = -5*q + 3*a - 36, -2*q - 4*a = -q + 21. Calculate the lowest common multiple of v and (-8)\/6 + (-30)\/q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 8:02 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3)*(12 + -6). Solve -l + n - a + 5 = 0, -2*n - 8 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1102223 + -2002032?\nAnswer: -3110321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 382, 4, -3 in decreasing order.\nAnswer: 382, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 941178?\nAnswer: -941178.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -129, 177882 in descending order.\nAnswer: 177882, -2\/5, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 + 0)*(-42)\/7. Let l = 70 + n. What is the remainder when l is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2, -2448.49, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x - 48*x - 5*o = -393, -3*x + 5*o = -321. What is the greatest common divisor of x and 1564?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w**2 + 3*w**2 - w**2)*(w**2 - 2*w**2 - w**2) - 5*w**4 + 0*w**4 + 4*w**4 as q*w**4 + z*w + o*w**2 + y + h*w**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 567 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/((-14)\/28).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 520b3 (base 16) to base 12\nAnswer: 142583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 19*b = 3*h + 4, b + 21*h + 40 = 0. Factor 0 + 3\/4*j**3 + 0*j**b - 1\/4*j**4 - j.\nAnswer: -j*(j - 2)**2*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 576 - 583 - q + 1159.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4903 or -4955?\nAnswer: -4903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j + 11*j - 1369 = -457. Calculate the greatest common divisor of 222 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or -46?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - w + 1. Suppose -1 = -47*c + 46*c. Let k be d(c). What is the common denominator of 2\/5 and (k - -1)\/((-32)\/396)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-18)\/v*v)\/v*v)\/(v*v**(-10)) assuming v is positive.\nAnswer: v**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 16. Let z be ((-6)\/h)\/(3\/9). What is the units digit of ((-132)\/(-6))\/(0 - z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 15*v - 14 = 2*j, 2*j + 10 = -3*v. Let l(t) = 1. Let z(m) = -41*m + 3. Let c(p) = 2*l(p) - z(p). Is c(j) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152 - 61. Let g = -120 + d. Let o = -24 - g. Solve -u + 8 = -o*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1363008099 to three decimal places.\nAnswer: -0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35856 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 129, 175, 249, 351?\n\"Answer: 14*u**2 + 4*u + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w - 50. Suppose r - 10 = -r, -q + 2*r - 16 = 0. Let j = w + q. Calculate the remainder when 14 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458766 = -147*d + 84*d. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-10)*(-2)\/14)\/(10\/(-80)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (99 - 101) + -1 + 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 1640544?\nAnswer: 1640544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**3 + 4737*z**2 - 1867560*z - 1872300 = 0.\nAnswer: -1, 790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*a - 1877*a - 740*a.\nAnswer: -2387*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*t - 7*t - 104 - 40 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 4*r + 3*y + 23, -5*r + y + 31 = 0. Suppose r*v - 3*v = 2*z, -4*z + 4 = -4*v. Put 0, v, -2 in ascending order.\nAnswer: -2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, -0.5, -3\/7, 2 in increasing order.\nAnswer: -0.5, -3\/7, 2, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 6)*(2*w - w + 0*w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 3. Let o be q(-5). Suppose -3*t - o = -4*m, 6 = m - 2*t - 2. Suppose 0 = 2*i - 4*w - 0*w - 234, 8 = m*w. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 + (-22)\/5. Let j be 1\/m - (-18)\/8. Let g(f) = 44754*f + 44759. Let u be g(-1). Solve j*z + 4*h + h = -12, u*h = 2*z - 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, o: 1, u: 4, x: 1, l: 5, m: 1}. Give prob of sequence llus.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2 - 2. Suppose -10*m - 4*w + 6 = -5*m, -3*m + 4*w - 22 = 0. What is h(m)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -788 + 802. Suppose -3*f + 11 = -4*u, -3*f - 2*u - 7 = -4*f. Let w be (-4 - f)\/((-1)\/15). Which is greater: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 22. Let t(l) = -8*l + 5. Let z be t(3). Let w = z + 24. What is the remainder when g is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 21*d + 13. Let b(n) = -n**3 + 35*n**2 - 37*n + 105. Let h be b(34). Give r(h).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00164353311 to 5 decimal places.\nAnswer: 0.00164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348006756 to the power of 1\/3, to the nearest integer?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.05148, 6, 0.192?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 10*k**2 + k - 6. Let g be s(10). Let r(b) = -b + 4. Let j be r(2). Suppose -5*d - g*v = -20, -j*d - 3*v = -1 - 7. Solve -6 = 5*p + d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-17)\/(-17))\/(3*5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyyyyeee. What is prob of sequence ee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 3*j**2 - 4*j - 4. Let d(f) = -f**2 - 6*f + 10. Let w be d(4). Let h be (6 + -1)*(-12)\/w. Let p be ((-10)\/15)\/(h\/(-12)). Determine t(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3043 and -0.12.\nAnswer: 0.1843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d - 2*h = -7006, 3*h = d - 3491. What is d rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 711566, 711575, 711582, 711587, 711590, 711591?\nAnswer: 711590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38*(-14)\/1862)\/((-8)\/1092*1).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-55) + 2\/(-11). Suppose -3*i = 5*n - 44, i + 4 = n - b*i. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2974177 by -14.\nAnswer: -2974177\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/(-8)*((-16)\/(-72)*-15)\/((-35)\/126).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -8. What is the second derivative of 3*u**t - 2*u**5 + u**5 - 3*u wrt u?\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**3 + 201*w**2 + 34*w - 236. Give p(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 + -110. Let q = 239 + -167. Suppose 3*b + 57 = k*t - q, -4*b - 102 = -3*t. Calculate the remainder when 58 is divided by t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -204*c**2. Let x(q) = -2*q + 6 - 4 - 2. Determine x(l(t)).\nAnswer: 408*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/7 (b) -0.9 (c) -2\/5 (d) -8 (e) -1 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*d + 20, -4*d - 10 - 6 = -3*h. Solve h = 3*y - 4*f - 17, -5*y - 1 + 11 = -3*f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -150*a**2 + 63*a**2 + 85*a**2 - 76*a + a**2 + 2*a - 2*a - a**2 + 3*a**2 - 4*a**2 + (a - a - 2*a)*(-2*a + 2*a + a) + 0*a + 0*a - a**2.\nAnswer: -6*a**2 - 76*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**3 - 145*l**2 - 11*l. Let h(p) = p**3 - 29*p**2 - 2*p. What is -22*h(y) + 4*k(y)?\nAnswer: -2*y**3 + 58*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 982832, 982844, 982854, 982862, 982868, 982872, 982874?\n\"Answer: -u**2 + 15*u + 982818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7 = 4*k - 29, 0 = 3*y. Let d(l) = -5*l + 6. Let o(q) = -1. Let t(u) = d(u) - 3*o(u). Let s be t(k). Is s bigger than -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 3599*v**5\/60 - 1251*v**3\/2 + 1848*v**2. Differentiate c(s) wrt s.\nAnswer: 7198*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 4*v - 6*v)*(-3 + 1 + 7 + (1 - 4 + 5)*(-2 - 2 + 3 + 3 + 0 - 1 - 3 + 5 - 4 + (2 + 2 - 2)*(1 + 1 + 0))) to the form c*v + x and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5599747, 5599717, 5599685, 5599651, 5599615, 5599577, 5599537?\nAnswer: 5599495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5553314.\nAnswer: 2, 13, 213589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/61, 0.3, -0.06, -2.\nAnswer: -2, -0.06, 2\/61, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -33*v**5 - 2997*v**4 + 102252*v**3 - 427824*v**2 - 439584*v + 93456 = 0.\nAnswer: -118, -1, 2\/11, 6, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 70766.83456 to the nearest one hundred.\nAnswer: 70800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.2843151 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 20*a**2 + 45*a - 16. Let q be z(22). Suppose 2 = 3*b - 5*h - 4, -h = -3*b + q. Find d such that -2\/11*d**3 + 0 + 0*d**b + 2\/11*d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*j**2 - 138 + 138.\nAnswer: -117*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.0000013 - -7. What is n rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5593733 is divided by 51?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85 - 85 + 48*f)*(610*f - 1064*f + 115*f) to the form r*f**2 + p + q*f and give r.\nAnswer: -16272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14252685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*d - 59*d + 3388 = -13*d + 285 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 4:12 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-2))\/1)\/(-12).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9437689 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 6*t**2 + 3*t - 2. Calculate h(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*18*3650\/(-2920)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -346, -708, -1084, -1480, -1902, -2356?\n\"Answer: -z**3 - z**2 - 352*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 150 or 2824\/19?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/60 and -131\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-70)\/(-35) + (-1 - 8). Let p(l) = 9*l - 8. Let v(i) = -11*i + 9. Let j(b) = q*p(b) - 6*v(b). Determine j(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4546 at least as big as -4546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 925 a factor of 344100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c - 9 + 0*c**3 - 5*c - 18 - 2*c**4 + 13*c + 2*c**3 to the form y*c**3 + i + b*c**2 + v*c + x*c**4 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -135236\/18935 + -2\/2705. Calculate the common denominator of 13\/10 and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8304729 a multiple of 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 147.641 - 148. Let n = o - -0.3. Let b = 0.351 - n. Round b to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*y + 417 = 55 + 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41)\/(-82))\/((-23)\/1150).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1011?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 34 = -20. Let u(h) = -h**2 - 14*h - 6. Let d be u(v). What is the greatest common divisor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**(-1)\/w)\/w))**6\/(w**(-2\/9))**(6\/17)*(w*w*w**2\/w)**(-48)\/(w\/((w\/w**(-8))\/w)*w\/w**(2\/3)) assuming w is positive.\nAnswer: w**(-5776\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 161966220?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/65 (b) -3\/5 (c) 2\/5 (d) 1 (e) -0.1397\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1279 + -1273. Solve 0 = 9*t - 30 - b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 9*o**2 - 9*o + 13. Let v be l(-10). Put v, -4, -5 in decreasing order.\nAnswer: v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1133 + 341 = -12*i. Suppose 0*b - 33 = -b - 3*l, -2*b = 4*l - i. Suppose -3*n = -d + b, -2*d - 88 = -4*d - 5*n. Is d a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -915070.66650343?\nAnswer: 915077.66650343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -55052.26 less than 4?\nAnswer: 55056.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -13471, -3361 in increasing order.\nAnswer: -13471, -3361, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7*(-1)\/(-14)*-4. What is the second derivative of -71*u - 76*u**n - 61*u + 17*u - 41*u wrt u?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284690?\nAnswer: 2, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*i - 1977, 4*i + 1181 = 20*o - 17*o. Suppose 0*y - 450 = -5*y. Suppose -5*l - y = -o. What are the prime factors of l?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**5*y + 34502*o**3*y - 7*o**2*y - 2*o*y + 2880*o + 4*y - 4 wrt o?\nAnswer: 60*o**3*y + 207012*o*y - 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (2\/(-2) + (-20 - -15)). Calculate the greatest common divisor of a and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1)\/(48\/(-14160)). Let d = 377 + p. What is the greatest common divisor of d and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06042 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-8 - 1) + (8 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3864 and 36?\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 467042*f**4 - 4*f**3 + 7835006*f**2 wrt f.\nAnswer: 11209008*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jclbp. What is prob of picking 2 p and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13282 and -3.44.\nAnswer: 45690.08","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 9.2. Let u = -0.9 - h. Which is smaller: 0.8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 6*s - 1. Let i be l(-6). Let m(h) = 5*h**2 - 26*h + 25. Let j be m(4). Which is the smallest value? (a) 2 (b) i (c) -0.13 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1124423341 (base 5) to base 9\nAnswer: 4756533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-322)\/(-46)*((-48)\/28)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -9 + 10 + -17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 725 and 26000675?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -22. Let z = -2 - -1. What is the nearest to z in 3, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 13680.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1936 or 1935?\nAnswer: 1936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a week in hours?\nAnswer: 1624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**2\/17 + 265278*u\/17 + 3448276\/17 = 0.\nAnswer: -132626, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 6*z**2 + 5*z + 5. Let b be d(3). Let h be (2 + 7)\/((-3)\/4). Let g = b - h. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2490928 is divided by 664?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 111011011000101001 (base 2) to base 8\nAnswer: 733051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -595 divided by 119\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 21. Let n be f(5). What is the third derivative of -y**4 + 0*y**4 - 27*y**3 - 4*y**n - 87*y**2 + 6*y**4 wrt y?\nAnswer: 24*y - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {u: 8, f: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55499 (base 10) in base 15?\nAnswer: 1169e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2)**(2\/55)\/((m\/(m\/((m**6*m)\/m)))\/(m*m**(2\/7)\/m*m)))**(-12) assuming m is positive.\nAnswer: m**(21444\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50134 + 275330 = 4*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 11. Suppose 3*n = 3 + v. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*q - 5121 = -5119, 2*q = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a + -7?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 68*n + 6. Let v be j(-34). Let m(w) = -w**3 + 5*w**2 + 8*w + 2. Give m(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 639 + 1444. What are the prime factors of h?\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -59\/30, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y**2 - 6*y**4 - 7*y**2)*(-y - 1 + 1) + y**5 - 2*y**3 + 2*y**3 + (0*y + 0*y - y**3)*(6*y**2 - 4*y**2 - 4*y**2).\nAnswer: 9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) 0.1 (c) 0.3 (d) -676 (e) 0.0699\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**4\/2 + 8*a**3\/3 - 36*a**2 - 14. Find the second derivative of l(d) wrt d.\nAnswer: 12*d + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i + 915 = 169*i - 42*i + 71*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1238.90406 + -1239.1. Let x = 34 + -33.806. Let h = f + x. What is h rounded to 4 dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from {v: 3, d: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 6087*m - 6084*m - 21, 10*m + 523 = 105*f + 9*m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 1 - 4 + 0)*(-4*x - x + 4*x)*(4*x + 16*x - 10*x).\nAnswer: -20*x**3 + 30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 112820711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-290)\/1160)\/(((-24)\/(-120))\/(10*2)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1465 - -0.146498266. Round a to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 5:14 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 19. Suppose v - 3*b = -c, -4*b + 6*b = 2*v + 2. Suppose 2\/9*p**3 + v*p + 0*p**2 + 0 = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16868 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*c + 159*c = -16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40441350 divided by 2253\nAnswer: 17950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -549\nAnswer: 274.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a**4 + 2475054*a**3 - 3*a**2 + 302688959*a?\nAnswer: -84*a**2 + 14850324*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*sqrt(17)*2.\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 135, 1500, 5465, 13404, 26691?\n\"Answer: 229*u**3 - 74*u**2 - 16*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 13 = 10*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-2*f**2 - 4*f**2 - 3*f**2)*(1461 + 68*f**2 - 1461).\nAnswer: -1224*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*b - 4*h, 6*h - 8 = 2*b + 2*h. Let w be 1616\/(-140) - (-1 + b). Let r = -72\/5 - w. What is the common denominator of -101\/6 and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.055632578 to three dps.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-18)\/40*(-8)\/3*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4352*(-5)\/(50\/(-15)). Suppose -20*s = -4*s - r. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85762 smaller than 85820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/81 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 2*v**2 - 4*v + 3. Let l be j(0). Is 16 a factor of (-233 + 2)\/(l\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.47383 and -1809220404.\nAnswer: -1809220402.52617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146229629 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9921 at least 9919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3964 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808*s - 813*s = 4*f - 4, 4*s = 5*f + 36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/4))**(-7\/10)*(q*(q\/q**3)\/q)**(4\/3))**(-38) assuming q is positive.\nAnswer: q**(4883\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from {t: 2, n: 1, e: 2, b: 2, i: 4, p: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -24*u + 532. Let v be l(22). What is the nearest to 1\/14 in 0, 2\/21, v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*q + 10, -q + 27 = p + 3*q. Solve p*m + 9 = -12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 7*g**4\/12 - 2*g**3\/3 - g**2 - 17*g. Let w be s(2). What is the least common multiple of (-18)\/4*(672\/w)\/(-4) and 16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2688490.\nAnswer: -1\/1344245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-15)\/(-40))*-4. Let q = 337\/294 + -1\/294. Let g = q + -6\/7. Which is the closest to g? (a) 1\/6 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 65 = 3*p - 4*w, -2*p + 2*w + 44 = 0. Differentiate -36 + 7*t**4 - p + 21*t**4 with respect to t.\nAnswer: 112*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55562 - -346?\nAnswer: 56130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 359*m**2 - 2*m**3 - 349*m**2 + 8 + 0*m**3 - 16*m.\nAnswer: -2*(m - 2)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocogoyyooogcooocy. Give prob of sequence ogc.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j + 18*j + 340 + 1111 = -1287 for j.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 10 + 8*u**2 + 11.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*k**2 - 103*k**2 + 1 + 2*k**3 - k**3 to the form c*k + x*k**2 + m*k**3 + r and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k + 14. Let u = -30 + 55. Let x(s) = -18 - 9 - 14 + 5*s - u*s. Let l(i) = -11*q(i) - 4*x(i). What is the derivative of l(d) wrt d?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*i. Suppose -4*k = -4*t + 15 - 19, 3*k - 5*t + 5 = 0. Solve i = -2*q - 2*x + 4, -4*q = -k*x + 2*x + 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 13*v**2 + 2*v + 16. What is i(-13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -22*m**2 + 873*m + 285. Let i be k(40). Let s(q) = 4*q - 1. Let o be s(-6). Is o greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3416 less than 80?\nAnswer: 3496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h + 24 = -4*o, 5*h - 10 = -5*o. Let r be -5 - (2 - h) - -5. Let z(g) = 2*g**2 - g - 1. Let u(l) = -l**2 + 1. Give r*z(j) + 2*u(j).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*n + 68*n = 20. Sort 0, -4, 24, n.\nAnswer: -4, n, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1246 divided by -89?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -768\/7 + 832\/7*t - 44\/7*t**2 - 22\/7*t**3 + 2\/7*t**4.\nAnswer: 2*(t - 8)**2*(t - 1)*(t + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 888090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(4\/7)*l)\/l)\/(l**(-3\/7)\/l))\/((l\/(l\/(l**5*l)))\/l**7))\/((l*l**4\/l*l*l**(-6))\/(l\/(l**(-1)\/l)*l*l**(-4\/9)\/l)) assuming l is positive.\nAnswer: l**(59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.79708 decades to millennia.\nAnswer: 0.7579708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2956464, 2956473, 2956486, 2956503, 2956524, 2956549, 2956578?\nAnswer: 2956611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*i - 13 = 3, 0 = 4*v - 2*i - 16. Solve 35*u = -p + 36*u, 5*p = 4*u + v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (57 - -6)\/(-7)*(-6)\/(-18). Let l be 5\/4*(p + 9 + -2). Suppose 0 = 5*f - 0 - 15. Solve f*w - 8 = 2*z + 1, -4*w - l*z + 12 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/15*((-3)\/6 + 0). What is the smallest value in -4, g, 0.4, -0.17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -8. Which is the nearest to -0.2? (a) -1 (b) 4\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 3*h - 97. Determine k(15).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 - 60*w**3 - 838*w**2 + 1860*w - 961.\nAnswer: -(w - 1)**2*(w + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -88168 - 0?\nAnswer: -88168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8059 - -4727?\nAnswer: -3632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a hour in seconds?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6498aaa62 + 5?\nAnswer: -6498aaa59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 + -10.12. Let r = -826.4 - -825.9. Which is the nearest to r? (a) 0 (b) q (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -755 + 755.957. Let t = j + -1.386. Round t to 2 decimal places.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*t - 10 = 0, -3*i - 2*t + 3 = -4*i. Solve -10 = 3*m - i*b, -m + 1 = b - 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 8 + -9 + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41154 + -41185. Let m(g) = g**3 + 31*g**2 - 2*g - 49. What is m(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 10*x**2 - 10*x + 9. Let s be w(9). Suppose s = -6*y - y. Let b = -10 + 14. Solve b*n + 5*k = -7, y*n = -5*n + 4*k + 22 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 904720588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzaaahaaaa. Give prob of picking 1 a, 2 z, and 1 h.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 3. Let h(v) = v + 1. Let c(k) = 6*h(k) - 2*n(k). Let d(u) be the second derivative of -2*u + 0*u**3 + 0*u**2 + 0 - 1\/12*u**4. What is c(d(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 39 = -126. Suppose 2*h - 13 = c. What is the remainder when h is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) + (-351)\/840. Let u = k + 173\/280. Suppose 8*p = 4*p. Which is smaller: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 6*q**2 - 11*q + 2. Calculate l(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven quarters of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -10)*2\/((-4)\/10). Let n = z + 34. Let q(o) = -17 + o**2 + n + 7 + 4*o. What is q(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(4116\/(-140) - -11)\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n - 96 = 242. Let p be -4*n\/(65\/(-30)). What is the greatest common factor of p and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g*g*g**(-2)*g*g)\/g**(-2\/15)*(g\/(g\/g**(-1\/2)))\/(g\/(g\/(g\/(g*g**(-3\/7)*g)))) assuming g is positive.\nAnswer: g**(1093\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 112223 (base 4) in base 12?\nAnswer: a0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 4.419.\nAnswer: 4.419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*1*sqrt(200)*-3 - (sqrt(200)*2*2)**2*3) + -5.\nAnswer: -9604 - 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/22)\/q)\/(q\/(q**15*q))*(q\/((q\/(q\/(q*q**(-16)\/q)))\/q)*q*q)\/(q*q**(-4\/3)*q) assuming q is positive.\nAnswer: q**(2197\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 53949.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28889 + 28889 + 103*x.\nAnswer: 103*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-8) + (6880\/128 - 35)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 877c0?\nAnswer: 877bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 1, b: 2, r: 1, h: 5}. Give prob of sequence rh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**2 - 144816*y = 0. What is y?\nAnswer: -36204, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j + 5. Let b = -12675 - -12684. Let p(n) = -n**2 + 13*n + 21. Give b*y(o) - 2*p(o).\nAnswer: 2*o**2 + o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 286 in 0.5, 1\/7, 6, 22, -1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 10*p**2 + 22*p - 66. Let m be u(-27). What is m rounded to the nearest one hundred?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1220*t**2 - 1215*t**2 + 8 - t + 2433*t**2 as p*t**2 + m*t + c and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -5 + 3 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 428.9 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 30. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 - 27*p + 48. Give i(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 4*d + 25*d - d**3)*(3*d - 6*d - d) - d**4 + 2*d**4 + 0*d**4 in the form g*d**4 + b*d**2 + y*d**3 + s + p*d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p + 13*p + 1. Let g be (p + 4\/8)*-8. Solve 0 = r - 3*d + 2, -5*r = -5*d + 4*d - g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-9)*13068\/(-1980).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756*n + 8 = 752*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 1. Suppose 5*d - 4*d + 2*g = 125, -l*g = -2*d + 226. Suppose -2*b + 12 = -14. What is the greatest common factor of d and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s + 442 = -0*s. Let t be (-6)\/(-15) + 2\/(-5). Suppose n - 36 = -t*n. Calculate the remainder when n is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*d + 0)*(-11 + 3 - 2)*(-2*d + 0 + 0).\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 694, 696, 698, 700, 702?\n\"Answer: 2*p + 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -366, -1579, -3600, -6429?\n\"Answer: -404*w**2 - w + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -140*s + 139*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 + 7581\/9 + -4. Let u = j + -480. List the prime factors of u.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586 bigger than 1586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 35*i**3 - 1 + 163*i**3 in the form r + x*i + z*i**3 + f*i**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*s**3*z**2 + s**3 + s**2*z**2 - 3*s**2*z - 3*s**2 - 7*s*z**2 + 20*s*z + 25*s - 45*z**2 - 5 wrt z.\nAnswer: 84*s**3 + 2*s**2 - 14*s - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1033186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 1\/((-7)\/(-147)) - 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 105*a + 24 - 176530*a**2 + 176569*a**2 - 15 - 9*a + 27 = 0?\nAnswer: -2, -6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 - -0.5. Round q to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**4\/12 - 9*z**2\/2 - 6*z - 1. Let i(w) be the first derivative of f(w). Determine i(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1982627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n = -5*a - 33*n - 80, 2*n = -a - 23. Let f(k) = k**2 + 14*k - 10. What is f(a)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547.1 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*t = 8. Find the first derivative of -2 - 1 + 2 + t + d**2 wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 441*d + 1. Let m be k(9). Suppose -5*s = t - 776, 5*t + 3*s - m = 8*s. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1894*k - 4788. What are the prime factors of i(28)?\nAnswer: 2, 7, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1717, 1716, 1715, 1714, 1713?\n\"Answer: -t + 1718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -5, 4*n + 14*c - 19 = 11*c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8*p - 54. Let w be f(7). Let g(t) = w - 6*t**2 - t**2 + 0*t**2 + 6*t**2 - 4*t. Determine g(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 7. Let q be (-28)\/(-16)*x\/(-1). Calculate the highest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 divided by 1063?\nAnswer: 180\/1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 191\nAnswer: 4\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -x + 4*x - 36, -13 = w - 4*x. Let q(g) = g**3 - 8*g**2 + 6*g + 3. Give q(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 times -1.40483\nAnswer: -36.52558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24194676721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 4*q - 12. Let j = 89\/45 + -16\/9. What is the third biggest value in q, 3, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 + 108*r**2 + 2*r - 63. Calculate the remainder when 269 is divided by t(54).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-5133\nAnswer: -10266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1256344.\nAnswer: 2, 97, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z**2 - 191025 + 96191 + 94834.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/15)*h**(-2\/7) assuming h is positive.\nAnswer: h**(-37\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.390795 litres to millilitres.\nAnswer: 8390.795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*o - 2*s - s, 4*s = 3*o + 26. Let p be (o\/(-6))\/(1\/(-3)). Let f = -3 + 2. Is p greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2645 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -3)*2\/6. Suppose -2*h - 2 = -4*b, b = -2*h - m*b + 3. What is the common denominator of (-5 - 0)*2\/(-6) and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 802155*z + 29*z**2 - 802155*z.\nAnswer: 29*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121047621, -121047595, -121047555, -121047495, -121047409, -121047291, -121047135?\nAnswer: -121046935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1613\/1950 + 2\/325. Let m = 255 + -2803\/11. What is the biggest value in m, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2*3 - 684\/(-8). Suppose 6*o - z = -42. Let x be (12\/4)\/(0 - -1). Solve x = 4*c - o*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**2 - 9*y**2 - 2266*y - 6*y**2 + y**3 + 2206*y.\nAnswer: y**3 - 60*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(3) - (sqrt(33)\/sqrt(11) + 3)) + sqrt(3) + (sqrt(12) + (sqrt(12) - sqrt(12)*-1))\/sqrt(4) + sqrt(3))*-5.\nAnswer: -30 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 8\/7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644703051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*19\/7 + 4\/14. Let r(v) = -9*v + 61. Let m be r(6). Solve 2*t - 11 = h*w, m = 5*w + 3*t - 0*t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 185809831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 63 = 68*h. Suppose -9 + 4 = -5*g. Let o be 3 + 2 - (g - -2). Solve -2*d + o*b + 6 = 0, -b - 2 = d - h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 290570988371 from -2.4.\nAnswer: -290570988373.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.6, -4, 3\/4, 2.1, 0.4, -2\/13 in descending order.\nAnswer: 2.1, 3\/4, 0.4, -2\/13, -4, -7.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -10*t**3 + 1775*t**2 + 894*t - 493. Determine i(178).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231907278.\nAnswer: 2, 3, 38651213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 53099117, 53099121, 53099125, 53099129?\n\"Answer: 4*y + 53099113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m - 24. Suppose 11*l + 579 = 62. Let b = 42 + l. Let s(z) = -5*z + 25. Let v(o) = b*s(o) - 6*t(o). Find the first derivative of v(q) wrt q.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 54. Suppose -i = -4*o - 7805, o + 38949 = g*i - 0*o. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - 10. Let n = h + 53. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (420\/(-90))\/(-7)*(-1581)\/(-85)*-1*10\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 28*q + 284. Let a be k(-38). What is the greatest common divisor of a and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3\/15 + 328*k**2\/15 + 8518*k\/15 + 5236\/5 = 0.\nAnswer: -21, -2, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 223.68 to 0 dps.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30966379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 67*a + 4. Let f be l(-4). Let q = f + 444. Calculate the greatest common divisor of 20 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5481*z + 49 + 5454*z - 10897*z in the form d*z + q and give d.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 7:16 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -3*m**5\/80 + 7*m**3\/8 + 9*m**2\/4 - 46*m. Factor r(f).\nAnswer: -3*(f - 3)*(f + 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u + 24. Let m be d(6). Suppose -m - 30 = -v. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 5*w = 13, 3*d + w = 2*d - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1625*u - 4239 = 5511 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z**3 + 3*z**3 - 4*z**3.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((-5)\/(-25) - (6\/10 - 3))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 9181059.3.\nAnswer: -642674.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -295092*j**2. Let o(d) = -2*d. Give x(o(h)).\nAnswer: -1180368*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647734?\nAnswer: 2, 17, 19051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttntttttdttttttnnnnt. What is prob of picking 2 n?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*i = -11, i + 16 = 4*g - i. Suppose -16 = -r - 4*l, -g*r + r = -2*l + 18. Let b(u) = -u**3 - 4*u**2 + 2*u - 1. Determine b(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1408305 divided by -5.\nAnswer: -281661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4494323 tonnes?\nAnswer: 449432.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 6 = 14. Let n = 89 + -20. Let u = n + v. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2297, 3140, 4525, 6434, 8849, 11752, 15125?\nAnswer: 18950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j - 15*j - 48. Let g(o) = 2*o - 2. Calculate g(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 20*o - 84. Let l be j(6). Find the first derivative of -30*x**4 + l*x**4 + 12 - 46 + 52*x**4 wrt x.\nAnswer: 232*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-10) + (-1)\/((-10)\/21650004). What is d rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 8:33 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 696, 1040, 1388, 1740, 2096, 2456?\nAnswer: 2820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(sqrt(128) + 0) + sqrt(1800)*-2 + 4)**2*-6.\nAnswer: -32664 + 3744*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 282500, 282505, 282514, 282527, 282544?\n\"Answer: 2*s**2 - s + 282499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Let r = 0 + v. Suppose 5*u + 4 = i - r*i, 0 = -4*i + 2*u + 50. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9702.77 - 9702.65. Let x = -4 - -3.93. Which is smaller: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2867503 rounded to 4 dps?\nAnswer: 0.2868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 32, 56, 80, 104, 128?\n\"Answer: 24*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -401405 (base 6) in base 3?\nAnswer: -1121011112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 + -118. Let s = -35.1 - o. Let w = s + 17.9. What is w rounded to 0 decimal places?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 3*b + 9*b**2 + (35*b + 48 - 48)*(0*b + 16*b - 3*b).\nAnswer: 464*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255 (base 9) to base 8.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 58. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/6, -121\/2, -5, 1\/8 in increasing order.\nAnswer: -121\/2, -5, -1\/6, 1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2250?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(-2\/27)\/(k**(3\/10)*((k*k**(2\/31))\/k)\/k))**(2\/19) assuming k is positive.\nAnswer: k**(5939\/79515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006705 to 7 decimal places.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1345*u**2 - 1404*u - 80*u**2 + 1402*u in the form b*u**2 + y + i*u and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 a when four letters picked without replacement from {e: 5, a: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38008 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + u - 5*u)*(190 + 32*u - 29*u - 384).\nAnswer: -24*u**2 + 1552*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a + 141b?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 11:32 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*o - 55*o + 10*o - 43*o**2.\nAnswer: -43*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5 + 32*n**4 + 23238*n**3 + 46332*n**2 = 0. What is n?\nAnswer: -99, -2, 0, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ricpccccppcbceecccc. What is prob of sequence pip?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5))**(-15)*(t**0)**41)\/((t**(-2\/3))**(-3\/31))**33 assuming t is positive.\nAnswer: t**(-252\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 12*o - 41. Calculate c(9).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-4))**(1\/27)*(y*y\/(y**(-11)*y*y))\/(y\/(y*y**(-11))*y))**(-14\/15) assuming y is positive.\nAnswer: y**(308\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**4\/8 + 609*q**3\/8 + 4371*q**2 + 99405*q\/2 = 0. What is q?\nAnswer: -94, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6537162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29 - 4*p**4 + 1 - 13 - 38*p**4 wrt p.\nAnswer: -168*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362932 is divided by 19026?\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -59, -243, -549, -977, -1527, -2199, -2993?\n\"Answer: -61*d**2 - d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*j + 3*h, -3*j + 4*h - 3 - 17 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-2*1 - sqrt(76))\/((sqrt(120)\/sqrt(5))\/sqrt(6)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35344575 and 1225.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 58, -15, -6, -766.\nAnswer: -766, -15, -6, 0, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.4, 2\/3, 1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426 + q**3 - 426.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1619.827 millilitres to litres.\nAnswer: 1.619827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 7*b + 2. Let j(f) = f**2 - 6*f - 2. Suppose 28 = 4*o + i, 2*o - 14 = -7*i + 11*i. Give o*j(v) + 6*a(v).\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + 214. Suppose 2*s - 678 - f = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 5*t. Let h(x) = x. Let c(z) = f(z) + 5*h(z). Let b(p) = 6*p**2 + 5. Let u(l) = -4*l**2 - 4. Let n(j) = -4*b(j) - 5*u(j). Give c(n(k)).\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 134, -9, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 2*t**2 - 5*t + 1. Let i(q) = -q + 1. What is -3*b(j) - 15*i(j)?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - x - 52, 0 = f - 8*x + 67 - 75 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -830*x**3 + 18*x - 18. Calculate c(1).\nAnswer: -830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108039 <= 104863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4530 + 4147 + 6*i + 1456.\nAnswer: 6*i + 10133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2518 + 251*q + 2518 - 251*q + 3072*q**2. Let v(m) = 2*m**2. Calculate v(a(i)).\nAnswer: 18874368*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1050 = -2*a + 5*a. Let r = a + 614. Factor r*c**2 - 3 + 3 - 3*c**3 - 258*c**2.\nAnswer: -3*c**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 8\/6135 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*g**2 + 37 + 64*g**2 - 57 + 20.\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45302 by 1.\nAnswer: -45302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m. Let k(p) = p**3 + 9*p**2 + 7*p - 6. Let h be k(-8). Let g(u) = -u + h*u + 2*u + 0*u. Determine j(g(v)).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -17*g + 367. Determine a(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 53*s + 735. Calculate j(24).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/17, 2\/5, -5, -5.164 in increasing order.\nAnswer: -5.164, -5, 4\/17, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(2\/(-4)*4). Let q be 108 + (0 - 1) - l. Suppose -d + q = d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) 6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4472662.\nAnswer: 2, 2236331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-90)*-12)\/((-7)\/(-154)*-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34 + 11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 412 + -318. Solve -99*y + g*y + 15 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/65 and -74\/526955.\nAnswer: 526955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1588, -1590, -1592, -1594?\nAnswer: -1596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7834*o**3 + 2*o**2 - 3*o**2 + 0*o**2 - 2*o**2 - 7968*o**3.\nAnswer: -134*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1442 is divided by 128.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 7 = -4*t - t, -42 = 4*z - 2*t. Let v = z - -109. What is the remainder when v is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-76))\/(24180\/15314)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1862529195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 22. Suppose -5*o + 18 = 3. Calculate the lowest common multiple of a and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -22\/9 (b) -477 (c) 1 (d) -3\/5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-117)\/(-2) - (187\/22 + -8). Suppose -d*y - 2*n = -56*y - 6459996, 0 = -y + 3*n + 3230006. Round y to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*sqrt(108) + 2)**2.\nAnswer: 120*sqrt(3) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-54)\/(-15))\/(1\/5). Let 11*y**4 - 2*y - y + 9*y**2 - u*y**3 + y**4 - 3*y**5 + 3*y**2 = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 10. Let u be g(8). Suppose 3*h - 14 = u*h. Calculate the highest common factor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64857 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 105 + -2?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3 - 212*m**2 - 7182*m = 0 for m.\nAnswer: -27, 0, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 37 = 41. Let g be 21\/7 - 111\/c. Determine z so that g*z**2 + 0 + 2\/13*z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4) - 938\/(-536).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 96\/(-8) - -3*(0 + 1). Let j be 1\/((-14)\/(-24) + 3\/l). Suppose -2*q + 40 = 2*q. Solve 0 = -5*n - q, j = -z - 5*n - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1486*f**3 + 1491*f**3 - 2976*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -25 + 34 - 3*r + 50. Let y be z(15). Solve -y*k + 12 = -17*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -101012313?\nAnswer: -101012303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -23*z + 1. Let j be a(1). Let s = 8 + j. Let h = s + 34. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -122*x**3 + 618*x**3 - 4*x**2 + 739*x**3 + 2*x**2 - 98*x**3 - 2*x in the form m*x**2 + v*x**3 + y*x + o and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*r + 54*r + 6881 = 0. What are the prime factors of r?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534136 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: Let q = 66 + 82. What are the prime factors of q?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2312321 is divided by 17255?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*b**3 + 3*b**2 - 6*b**2 + 34*b**3)*(-4 + 4 - 2 + 3*b) to the form x + l*b + z*b**2 + k*b**3 + i*b**4 and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 19*a + 11. Let l be u(-2). Let h = 44 - l. Calculate the remainder when h is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 14*y. Let v(c) = 3*c + 5. Let p(n) be the second derivative of 2*n**3\/3 + 3*n**2 + 7*n. Let i(g) = -5*p(g) + 6*v(g). Give z(i(b)).\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + -4 + 1*sqrt(11) + sqrt(11)) + (2*(sqrt(704) + 1*sqrt(704)) - (0 + (sqrt(704) + sqrt(704) + sqrt(704) + 1)**2)).\nAnswer: -6343 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + ((-3402)\/(-3))\/(-3). Let b = 32 - 216. Let w = b - a. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 101*v + 14367. Determine d(-80).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11134 (base 10) to base 14\nAnswer: -40b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + sqrt(52)\/sqrt(4)*4 + -3 + sqrt(1872) + (0 + sqrt(1872) - sqrt(1872)))**2.\nAnswer: 32*sqrt(13) + 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -511848*q - 4606606. Give g(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3392, 6634, 9900, 13190, 16504, 19842, 23204?\n\"Answer: 12*r**2 + 3206*r + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*z = -1861*z - 39468 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(32\/12)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1332, -3, 44, -43 in decreasing order.\nAnswer: 1332, 44, -2, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -4 (b) 0.16 (c) -149 (d) 2\/15 (e) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 9*q - 5. Suppose 9 = -5*z + 49. Let n be k(z). Suppose n*i + 3*m - 195 = 0, 2*m + 209 = 4*i - 63. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020.2025us in minutes?\nAnswer: 0.000017003375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3282.\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6531 + -6589 - ((0 - -1) + -18)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -7*k**6\/120 + k**5\/20 - k**4\/8 - k**3\/3 + 10*k**2. Is h(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:16 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6) + (-14)\/(-84) - (-870)\/(-2502)?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3704, -17112, -40230, -73058?\nAnswer: -115596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 62641, 122490, 182339, 242188, 302037?\n\"Answer: 59849*r + 2792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.078 - 0.922. What is the closest to d in 2\/35, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -491.87 - -538.8. Round q to 0 dps.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 5 + 27 + 6*k to the form h + j*k and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - 2*l + 2*l + (2 - 2 - l)*(-2 - 2 + 3) + l + 1 - 1.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -16*2\/(-8)*-2. Suppose -8*y + 4*y - 4*c - 16 = 0, -3*c - 13 = 2*y. What is the tens digit of 4 - y*t - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3269702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 720*g - 211*g + 6 - 2. Suppose 0 = -t + 2*w + 5, 0 = t + w + 25 - 27. Is x(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/(-483) + 2131\/(-336) + 1 and 67\/876.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/16*(-7)\/(-672)*8?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1831966 and 83096?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p - 3. Let l(f) = -123055*f. Calculate v(l(q)).\nAnswer: 369165*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -17*z**3\/2 - 1249*z**2 + 147*z\/2 = 0.\nAnswer: -147, 0, 1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**3 - 6*r**3 + 9*r**3 + 7*r**3.\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (3 - (-1 - 0))) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*s - 2 = -4, 11 = -k - 3*s. Let w = 3.1 - 2.7. Let i = -89\/4 - -22. What is the nearest to i in k, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22125 by -4425.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k + 2. Let f = 2 + 1. Let n be p(f). Let x = 25 - n. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40261, 0, -112 in decreasing order.\nAnswer: 40261, 0, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 2*t - 2*t - 3*t + t + t + (-2*t + t + 0*t)*(-1 - 4 + 0) + t + 4 - 4 - t - 4*t + 4*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3287, 3257, 3227, 3197, 3167?\n\"Answer: -30*g + 3317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36509 + -35297.54. Round a to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4297793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 5*t - 3*t + 2, 5*j - 7 = t. Solve 5*c - 3 = 2, 18 = -4*w + j*c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d\/((d*d**(-2\/75))\/d))\/d)\/d*d**(-4)*(d**(-14))**13 assuming d is positive.\nAnswer: d**(-13873\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 e when three letters picked without replacement from sssbvvehwhewss.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/4))**(1\/12)\/(g**(-1))**(-49))\/(g**5\/(g**(-4)*g)*g**(-2)*g*g**2) assuming g is positive.\nAnswer: g**(-2783\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12580 divided by -12580\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 13) to base 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 1:53 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 11:47 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 98 (b) 12 (c) -2\/9 (d) 3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 2788 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/32)\/(3\/(-18))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a kilometer in meters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4.469599g?\nAnswer: 0.000004469599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-22) - 6620\/(-110). Let r = -22 + f. What is the remainder when r is divided by 19\/((-76)\/(-48)) + 1*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-45)\/(-18)*12\/5. Suppose 2*s = l + b*s - 94, 221 = 2*l - 3*s. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693858?\nAnswer: 2, 3, 11, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1800\/13 - 120\/13*u + 2\/13*u**2.\nAnswer: 2*(u - 30)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 2534 in ascending order.\nAnswer: -4, -3, 2534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*c**4 + c**3 + 2*c - 9*c**4 - 2*c**2 - 4*c**3 to the form l*c + g*c**2 + y*c**4 + r*c**3 + o and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6372.6 + 6353.5946. Let d = q + 19. What is d rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22100333 (base 4) in base 16?\nAnswer: a43f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + -111110110001?\nAnswer: -111111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -9. Let t(m) = -10*m. Let r be t(k). Calculate the greatest common divisor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4155 divided by 1\nAnswer: 4155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*v, -3*v = 5*k - 6*v + 18. Sort 3, 1, k in increasing order.\nAnswer: k, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/36*((-63)\/20)\/((-642)\/856).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24333917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 688883 - 37751472.\nAnswer: -37062589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4655.1612 to 0 dps.\nAnswer: 4655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 3524*u - 17 - 20.\nAnswer: -3524*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1229 and 196723572.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -56, 7, 37024 in decreasing order.\nAnswer: 37024, 7, -1, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 40?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 + -100. Solve 0 = -k - 2*z + 1, -2*z + 0 = -r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24553261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*z = 45*z - 233*z + 748 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 + (-19)\/(228\/(-24)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8923 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 - -31. Let k = i + 14.0000033. Round k to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/4, 1\/5, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/10440 and -23\/1160?\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5 + 88*m**4 - 12*m**3 - 512*m**2 + 698*m - 264.\nAnswer: 2*(m - 1)**3*(m + 3)*(m + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p + 25 + 3*p - 3*p + 4*p. Let u be o(5). Solve 2*t - u = 3*h, -6*h + 4*t - 18 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-13 + -3 + 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1701 - 5?\nAnswer: 1685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -11\/30*m**6 + 0*m**4 + 0*m**2 - 35*m + 5\/2*m**3 + 0*m**5 + 0. What is the second derivative of n(x) wrt x?\nAnswer: -132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*u - 36 - 156 = -0*t + 2*t + 48*u, 3*t - 24 = -6*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (-5 - -4) + -2. Let d be (-2 - u)\/2*1. Factor 14\/11*g**4 + 0 + 2*g**d + 4\/11*g + 32\/11*g**3.\nAnswer: 2*g*(g + 1)**2*(7*g + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*(sqrt(1300) + 2*sqrt(1300)) - (-1*sqrt(1300) + 3))**2.\nAnswer: -943854 - 3960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56.7? (a) -0.3 (b) 1\/2 (c) 12835\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 8*j + 12. Let t(s) = 9*s**3 - s. Let w be t(1). Let r be 35\/(-4) - w\/32. What is the units digit of b(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3452, -58, 5 in increasing order.\nAnswer: -3452, -58, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*m + 3 = 0, -3*m - 5 - 7 = -3*l. Suppose 3*s = 66 - l. Solve -2*t + 9 = -3*d + s, 2*t = 4*d - 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274 by -2.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.68*-2382\nAnswer: 1619.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24441143 - 1353?\nAnswer: 24435350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44433719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:03 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649079?\nAnswer: 649079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*p - 3*q - 10, q + 350 = 2*p + 346 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-2) - (-12 + 1). Solve 14 = h + 5*v, 2*v - w = -h + 6*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 50\/8 - 3\/12. Solve -5*g + 5*m = 0, c*m - 4*m - 6 = -4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2667 - 2654. Let q = -20 - -36. Let p = a - q. Put -16\/7, -2\/5, p in increasing order.\nAnswer: p, -16\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11064317059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 0, -3\/7, -0.05?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w + 3. Let v be 2\/(-4)*4\/2. Let o be v + w + 40\/25. What is the closest to 0 in 0.5, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3027 - -0.4027. Which is the biggest value? (a) v (b) 4 (c) -40 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13221330 (base 4) in base 14?\nAnswer: -b5da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 4:26 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 - 19*g - 8. Let y be h(10). Let p be y - (102\/18 + -4). Let n = -0.1 - 0.3. Which is the closest to -9? (a) p (b) 5\/6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-290)\/174)\/(2385\/3498)\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*n = -10704 - 3136. Solve n*k = 48*k + 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1704 - 10*l**2 - 3375 + 1687.\nAnswer: -10*l**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.3, 0, 0.5 in increasing order.\nAnswer: -3.3, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -573*j + 8. What is the thousands digit of b(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*c, 25*d + c = -c - 119 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 57 + 52 - x + x**2 - 2*x**2 - 110. Let c(i) = -2*i**2 - i - 4. Determine -c(y) + 3*d(y).\nAnswer: -y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -311, -308, -303, -296, -287, -276?\n\"Answer: y**2 - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 18*t + 10*t**2 - 9 - 6*t - 5*t. What is the units digit of a(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 429, 2866, 7201, 13434, 21565, 31594?\n\"Answer: 949*z**2 - 410*z - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 14*u. Let s(g) = g. Let k(m) = 91*s(m) - 6*t(m). Let h(b) be the third derivative of 5*b**4\/24 - 13237*b**2. Determine k(h(v)).\nAnswer: 35*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 - 47. Let z(j) = j + 6. Let l be z(7). Suppose -2*d + q = -l. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10910*v + 5455*v - 2196 + 5453*v.\nAnswer: -2*v - 2196","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*(-15 - 8*t**2 + 15)*(-3 + 0 - 1) as b + r*t + k*t**2 and give k.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 12*t = 66. Let f(u) = 279*u**2 - 2 - 136*u**2 - 141*u**2 + t*u. Let r(i) = 2*i**2 + 4*i - 3. What is -3*f(w) + 2*r(w)?\nAnswer: -2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**2\/2 - 7*w - 3. Let p be x(-7). Suppose -4*t = -3*n - 33, p = -4*t - 2*n - 3*n + 41. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 150.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**2 + 133915540*t - 896668592674580 = 0.\nAnswer: 13391554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*m = -3*l + 49, -5*m + 94 = 3*l. Let q(j) = -j**3 - 3*j**2 + j. Calculate the remainder when l is divided by q(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((614\/(-36))\/(-3*(-44)\/396))\nAnswer: -2\/307","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3371?\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66514, -66515, -66516, -66517, -66518?\nAnswer: -66519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 21, -27 in descending order.\nAnswer: 89, 21, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1547 is divided by 771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 2208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 3*t, 902*v - 2 = 904*v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -1223?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -580.3 + 294.5. Let v = p + 339. Round v to the nearest integer.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.34 + 0.54. Let j be -1 + -1*(-4)\/10. Let s = -2.1 + 0.1. What is the biggest value in s, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16816.00000018934 + 16816. Round q to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17230 + -1 + 8 + -6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 144*g - 14135. Give q(67).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 244, 210?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113.3 - -111.3. Which is the second smallest value? (a) z (b) -3 (c) 2\/3 (d) -1\/191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 9*o**5\/20 - o**4\/4 - 12*o. What is the third derivative of s(l) wrt l?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25921*j - 25952*j + 713 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 82027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*(2 + (sqrt(637) + 3 + sqrt(637) + -3 - (sqrt(637) + 4 + -2 + sqrt(637) - sqrt(637))))**2.\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(5324))\/(sqrt(20)\/(sqrt(15)\/sqrt(3))) + 4 + (0 + sqrt(1100))**2 + -1*(sqrt(704) + 1 + sqrt(704)).\nAnswer: 17*sqrt(11) + 1103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16445*a**2*k + 6283*a**2 with respect to k.\nAnswer: 16445*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -13*n**4\/2 + 19*n**2\/2 + 1. Find the second derivative of d(o) wrt o.\nAnswer: -156*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 87 - 86 - 3*c**2 - 2*c**2 + 4*c.\nAnswer: -4*c**2 + 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 4*p**2 + 6. Calculate l(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0. Suppose c = -4*z - 3*k - 8, 19 = -2*z - 4*k + 5. Let p be 14\/(-18) - (-5 + 2) - (-15 + 17). Is p greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -446*i**5 + 2*i**2 + 47*i wrt i?\nAnswer: -26760*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 131 - 5. What are the prime factors of (1 - 4)*i\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0002, -7\/9, 0, -0.705 in decreasing order.\nAnswer: 0.0002, 0, -0.705, -7\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 6*y**2 + 7*y - 8. What is the units digit of h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from qqqqqqbqqbbqbbqbqq?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 12997*b**2 + 12980*b**2 - 26432*b**2. Let y(f) = -4*f. What is z(y(a))?\nAnswer: -7280*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**2\/7 + 30*g\/7 - 4 = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 310736.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/9*-15*(-36)\/8. What is the greatest common divisor of 60 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and (43 + -1189)\/((2\/6 + 0)*-6).\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298838 is divided by 18676?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (0 - (2 - 774)). Is y*((-8)\/12)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, c: 2, x: 7, r: 1}. Give prob of picking 1 r and 3 x.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + -6 + 98 + (-2 - -7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 11*d**3\/3 + d**2 + 6*d + 137. Differentiate u(g) with respect to g.\nAnswer: 22*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 6e87?\nAnswer: 6e89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - 2*p**2 - 17. Let x(g) = -g**3 + g**2 + 1. Give h(a) + 3*x(a).\nAnswer: -a**3 + a**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o + 82 = 17*o - 468 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4 + 1.6. Let n(x) = 2*x - 13. Let j be n(8). What is the second biggest value in j, -2\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45.5 - -120. Let q = v + -62. Let y = -13 + q. Which is the closest to 2\/3? (a) y (b) 2 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 30081775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**2 - 1755*z - 3530 = 0.\nAnswer: -2, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + -2 + sqrt(425) - (sqrt(425) - -4*(-3 + sqrt(425) + sqrt(425))))**2.\nAnswer: -640*sqrt(17) + 27263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 6*o + 15. Let b be (-1 - -1)\/(o\/(-1)). What is the first derivative of -6 + 5*k**4 - k**4 + b wrt k?\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26946 is divided by 31.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**5\/60 - v**4\/24 - v**3\/6 + 6*v**2 + 61*v. Let n be (-2)\/(-6)*(-6)\/(-2). Determine l(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -3. List the prime factors of 27 + 3\/(9\/w).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14994 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/2 - 201*u\/2 + 207.\nAnswer: -3*(u - 2)*(u + 69)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -15.14119\nAnswer: -136.27071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 878 + -878.35. Let d = 1 + -2. What is the nearest to d in 2, m, 3\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5653209 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l + 166 + 66 = 102*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 x when three letters picked without replacement from qrxxx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646812091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**4\/8 + 5*a**3\/2 - 179*a**2\/2 + 125. Let p(m) be the second derivative of v(m). Determine p(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -722 or -2885\/4?\nAnswer: -722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/1349 < 24\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b4 - -1?\nAnswer: 7b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -302, -293, -284, -275?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -852, -10236, -35724, -85374, -167244, -289392?\n\"Answer: -1343*o**3 + 6*o**2 - o + 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 10:48 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -180 (b) -2 (c) 59 (d) -4\/5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 1:39 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 570 divided by -2\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -146627 + 0?\nAnswer: -146627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26249 is divided by 2140.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -28266812 divided by -3\nAnswer: 28266812\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 70, 80, 90?\n\"Answer: 10*b + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*t + 4*x, -4*t - x - 14 = -3*x. Suppose -s = -4*h - 0*s - 5, 3 = 3*h - 3*s. Let c = h + 2. Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 238, -2 in decreasing order.\nAnswer: 238, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 642 and 4.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -0.07, 1\/33, -10.89 in increasing order.\nAnswer: -30, -10.89, -0.07, 1\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -16*y + 12 - 10*y**2 + 14*y**2 + 9*y**2. Suppose 0*p - 11 = p. Let l(a) = -7*a**2 + 8*a - 6. Let n(i) = p*l(i) - 6*s(i). Determine n(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*s**3 + 6*b*s**2 - 53236*b*s + 1270394*s**2 - 53*s wrt s.\nAnswer: -12*b*s + 12*b + 2540788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = 0, -12*q + 1304 = h - 7*q. What are the prime factors of h?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*y**3 + 4085538*y**2 + 463657493772*y + 309103180056.\nAnswer: 3*(y + 226974)**2*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 365484 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: Find the common denominator of 27\/4192216 and 45\/4192216.\nAnswer: 4192216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/12*-1)\/(8\/36). Solve 2*v = -2, -m*y - 4 = -2*v - 0*v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + -2 + 5)*3. Suppose 0 = u*g + g - 8. Let s = -40 - -44. Solve -8 = g*c - s*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + 13 + (-292)\/4)\/(-1). Let j = 77 - 38. What is the greatest common factor of g and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, i: 3, l: 5, h: 2, v: 3}. Give prob of picking 2 h and 2 v.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2*h + 46, -2*h + 22 - 132 = 3*o - 50 + 9 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -4, 82 in ascending order.\nAnswer: -4, 19, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*k - 23, 5*k - 11 = 3*l + 23. Suppose 5*b + k*m - 33 = -233, -b = 4*m + 28. What is the remainder when 4\/(-22) - 3088\/b is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let h(x) = -21*x. Suppose -2*q = -1 + 5, -19 = -l + q. Suppose -l*i = -19*i - 2. Give i*h(c) - 18*y(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 + 3*a**2 - 4*a - 49. Let x(g) = 2*g**3 - 2*g**2 + 3*g + 48. What is 3*f(w) + 4*x(w)?\nAnswer: 2*w**3 + w**2 + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 11:16 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -67 + 244 - 5*n - 68 - 88. Let y(d) = -14*d + 62. Let m = -7 - -10. Let z(l) = m*y(l) - 8*f(l). Differentiate z(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y - 13. Let n be f(7). Let k = n + 43. Let w be (-1)\/2 + 2 + -1. Is k smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**5 - 528*k**4 - 5502*k**3 - 9432*k**2 - 4455*k = 0.\nAnswer: -165, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 11:04 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Let n = 2.5 - f. What is the closest to 4 in 1\/4, 2\/5, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 12 = -5*b. Find the second derivative of s**4 + s - 3*s**4 - b*s wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1007, 4054, 9133, 16244?\nAnswer: 25387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -203*q**5\/5 - 137*q**4\/12 - 311*q. Find the third derivative of a(h) wrt h.\nAnswer: -4872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*y**3\/5 + 366*y**2\/5 - 96*y - 168\/5.\nAnswer: -6*(y - 7)*(y - 2)*(7*y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*f + 1 = -15, 3*n - f = 4. Suppose -4*r = 5*q - n*r - 658, 4*q - r = 518. What is the least common multiple of 2 and q?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-6)\/271) + -35 + 37. Let z = -1427\/15 + g. Suppose -3*o - 3*m = -o + 8, 2*o - 4*m = -8. Which is bigger: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -15*s + 18*s. Suppose -4 = s*m - 4*m. Solve -2 = -3*o - m*c - 3, -4*o = -4*c + 28 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**5\/20 - v**4\/2 + 4*v**3\/3 - 3*v**2 + 2*v. What is the units digit of o(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04383 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-380)\/(-20))\/380).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28457?\nAnswer: 11, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(4 - -2) + 4. Sort -5, j, 28.\nAnswer: -5, j, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -88\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412904 is divided by 12902.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 1)*(1\/(-6) - -1). Let u = -2.02 - -0.02. Let s = u + -1. What is the smallest value in s, -5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9102.059 weeks?\nAnswer: 5504925283.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 553 = -939. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.67 in -1, 927, 0.3, 69?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111837040 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1308411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**5\/60 + j**4\/4 - 5*j**3\/6 + 2*j**2. Let a be x(4). Solve 0 = a*d - 0*d - 3*m, -5*m = -5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from uouoouuuuuuuuuouuuo.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b00a9 (base 13) to base 11.\nAnswer: -662075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5 = -7. Let j be (a\/15)\/((-1)\/5). What is the units digit of 10*(6\/j - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.21939 or -6132?\nAnswer: -6132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*u - 18*u - 2*u**2 + 3*u**2 + 1)*(-2 - 15 + 4).\nAnswer: -13*u**2 + 26*u - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268595316 divided by -8668.\nAnswer: -30987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 804325.1 milligrams to kilograms.\nAnswer: 0.8043251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - 25. Let v = -39.73 - d. Does 0.1 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2272\/(-24)*((-6237)\/132)\/(-63)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 1, q: 2, c: 1, a: 1, b: 2}. Give prob of sequence qpq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5180 and 88648300?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -8 - (5 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 - 18 + 61 = 15*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 2, b: 1}. Give prob of picking 2 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -371057\/10 - -37103. Calculate the common denominator of i and 1*-71*(-2)\/(-18).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2403, 9575, 21507, 38193, 59627, 85803, 116715, 152357?\nAnswer: 192723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 72 in descending order.\nAnswer: 72, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 856544 is divided by 7927?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*a + 1, -5*x = 4*a - 11. Suppose -z + 3*u - 1 = -13, x*z + 5*u = 92. Does 20 divide (0\/(-1) + z)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000120222 (base 3) to base 2.\nAnswer: 100111010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.00018 - -8.99982. Are n and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*u = 361*u + 346*u + 9840 for u.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/5)*x**36 assuming x is positive.\nAnswer: x**(181\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27995 + 27995. Which is bigger: 22546\/7 or q?\nAnswer: 22546\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 633288.95 rounded to the nearest 10000?\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166545 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = -8. Suppose -4*v - 5*v = v. Suppose v = m - 4*m + 3. Solve -m = -l - b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4, -21 = 2*y - 3*o + 6*o. Let j be (6\/y)\/(11\/3). Which is the closest to j? (a) 3 (b) 2\/5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1682 = 421. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292672 is divided by 147?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9765347 to 3 decimal places.\nAnswer: 0.977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -645*v**3 - 124990*v**2 - 1704665*v + 375900 = 0 for v.\nAnswer: -179, -15, 28\/129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + (-18 - (-9 + -13 + 14)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1791 - 1787. Solve -g*j - 2*v - 2 = 0, -2*j + 13 = -j - 4*v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 768870297 to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4473, -4, 4\/3, 0.1, -1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n**2 - 3*n. Let a(z) = -9*z**2 - 5*z. What is 6*a(y) - 10*u(y)?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000024325902 to 7 dps.\nAnswer: 0.0000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/5)\/((-9)\/(-270)). Let b be m\/15*25\/10. Suppose 28 = 2*o - b. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}