diff --git "a/data/dm_maths/full_data/10943_11255.jsonl" "b/data/dm_maths/full_data/10943_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10943_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the biggest value in -0.175, 2\/9, 2, 0.2, 2.4, 1, -3\/2?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4*j + 3, 5*j - 5 = 3*a + 4*j. Let b be 2\/a*(-3 - 1). Solve 0*o = -2*o - b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*-21\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 118, -2\/19?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5 - 152*x**4 + 10406*x**3 + 10708*x**2 - 10405*x - 10556 = 0. What is x?\nAnswer: -203, -1, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - f - 4. Suppose i = -f + 6. Suppose i*d = -17 + 67. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = -3*x + 87, 4*q = 214*x - 212*x + 44 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-13\/5)*l)\/l*l*l**(-1\/3))\/(l**(2\/19)\/(l\/l**(4\/5))))**(-28) assuming l is positive.\nAnswer: l**(6692\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 4*p + 1. What is the remainder when v(-8) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6262 - -100?\nAnswer: -6162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 71\/28501?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(15\/(-6))\/(-1). Suppose u + 3*y - 2 = 5*y, v*y = -15. Sort 14, u, 1 in increasing order.\nAnswer: u, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/(2\/(-18))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 8. Let i be 65\/d*2*1. Suppose 0 = -4*s + i + 155. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -275.9, -20, 8, 2\/9, 44, 1\/8 in ascending order.\nAnswer: -275.9, -20, 1\/8, 2\/9, 8, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-511 - -503) + (48 - (0 + -4)) + 23.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 - -416000?\nAnswer: 416036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (8\/300*10)\/((-14)\/7)*-10\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 235073*h. Let i(o) = 2*o. Give u(i(n)).\nAnswer: 470146*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.2 and -1.7.\nAnswer: 17.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*h = 4*z - 19, 0 = z + 3*h + 1. Suppose -5 = -z*t + 5, 4*x + 3*t - 310 = 0. Calculate the remainder when x is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409119369 to the power of 1\/2, to the nearest integer?\nAnswer: 20227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 17*m**2 + 20*m - 33. Let i be d(18). Suppose -l - i = 0, -7*l - 346 = -v - 10*l. What are the prime factors of v?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -325*t + 324*t - 7*i + 10, 0 = 3*t - 0*t + 7*i - 5 + 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 0 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 32 - 0. Suppose 280 = -m*q + 1440. Is q a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*c = -839, 556 = 2*x + 6*c - 4*c. Let n = 295 - x. Calculate the highest common divisor of 72 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 17*v - 1 = 0. Sort 1, -11, v, 2 in descending order.\nAnswer: 2, 1, v, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6069*p**2 + 64*p**4 - 3*p + 6064*p**2 - 18207*p**2 + 6073*p**2 - 4*p**3 to c*p**2 + t*p**3 + s*p + h*p**4 + l and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.573618726 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by -1?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q + 3 - 3 + (2 + 0 - 8)*(-2*q + 2*q - 2*q) + (6*q - 4*q - 3*q)*(-1 - 2 + 2).\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 31 = -1. Let r be 4\/5*g\/((-12)\/(-50)). Suppose -15*x = -r*x + 45. Is x bigger than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 423, 1531, 3323, 5799, 8959, 12803, 17331?\n\"Answer: 342*m**2 + 82*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234336 and 4608?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 1 = 4*b, -7 = -5*s + 3*b + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -133, -178, -211, -226, -217?\n\"Answer: w**3 - 52*w - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18, -5\/24, 4, 2, -3\/5, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 387 + -367. Suppose -5*j - 15 = 5. Is (586\/(-5))\/(j\/m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38421 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 104?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:25 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6*(-105)\/7. Let x be 2 + -4 - 175\/f. Calculate the highest common divisor of x and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + (-33)\/9)*-12 - -119. Suppose -4*o + s = 3*f, 6*f + 105 = 5*o + 2*f. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddd. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.75327 to two dps.\nAnswer: -21.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/7 or -3\/1635361?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-24)*-3*1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -168021?\nAnswer: 168019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 4. Let b be l(-6). Suppose b = -2*g - 6. Let f = g - -13. Calculate the highest common factor of f and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.7 - -27. Let t = v - 5. Let l = -423 - -427. Sort t, l, 0.\nAnswer: 0, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 930 = 5*p + 800. Solve -p + 82 = 14*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/27 and -31\/178555?\nAnswer: 4820985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h - 112 - 53. Suppose -n + 3*l = 4*n - 54, -l = 5*n - 42. What is the remainder when h is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12 = -3*t, 4*x - 4*t + 2 = t. What is the third derivative of -81*r**3 + 3044*r**2 - 7*r**3 - 3182*r**x wrt r?\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**4 + 1764*z**3 + 380160*z**2 + 17749248*z = 0. What is z?\nAnswer: -88, 0, 764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 950 is divided by 101?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -2, 2352, 0, -3, 2 in decreasing order.\nAnswer: 2352, 2, 0, -2, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**5\/120 + 2*h**3 + 8. Let x(t) be the third derivative of y(t). Let u(n) = 4 - 4 - 4*n. Give x(u(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q = -220. Let l = q - 17. Let z be (l\/18)\/((-6)\/(-8)). Solve z*k = -0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -271 - -1144. What is the highest common factor of 18 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12015 divided by -45\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2299995 + -0.23. Round h to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -48518*c + 242576. Determine i(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 1, -12 in ascending order.\nAnswer: -12, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -92, -2 in descending order.\nAnswer: 5, -2, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6 - 13\/2. Let w = 11 + a. Let i = -1 + w. Solve 0 = -u + i - 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -168 + 168.79. Let m = q + -0.790043. Round m to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.63 - -1213.\nAnswer: 1213.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = -15*z + 40 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*a**3 + 48711*a**2 - 48711*a**2.\nAnswer: 62*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.066251 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/10 + (18945\/10 - -7)?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*p**2 - 10 + 10)*(-2 + p + 2) - p**3 + 3*p**3 - p**3)*(-2*p**2 - 5*p**2 + 0*p**2).\nAnswer: 14*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*h**5 - 15296*h**4*m + h**2*m - 5515*h**2 wrt h.\nAnswer: 480*h**2 - 367104*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-4 - -5) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3109*s = 94030 + 101349 + 97523 - 81490 for s.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*b + 331 - 14827. Let k = -445 - b. Solve k*t + 9 - 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554078193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxri when four letters picked without replacement from zvzzzvirvzzrvzzxxrx.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 43594060871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 - (-3 + 6) - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 166, 330, 494, 658?\n\"Answer: 164*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 364140871?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 380797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279 + 3*a**2 + 0*a**2 + 106 - 56 - 264.\nAnswer: 3*a**2 - 493","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -0.5, -7, 5\/6, -5, 18.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**8*(y**(-2\/7)*y)\/y)**(-2\/101)*(y*(y**(-7)*y*y)\/y)\/y**5*(y**(-1))**(-26) assuming y is positive.\nAnswer: y**(11414\/707)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1733 + 36?\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 6:55 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1691 + -1589.9. Let k = j + -101. Let c = 0.4 - -0.1. What is the closest to c in -3, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -501611 (base 7) to base 15\nAnswer: -1a155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3.4. Let m = 0.7 + 0.3. Let q = -0.3 - -0.1. Which is the biggest value? (a) m (b) q (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 1:32 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -1)*(-3 - -2) + 17. Let x be 566\/g - 3\/7. Let u = 136 + -76. What is the greatest common factor of u and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2761*l - 545 = -2655*l + 1681 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -270\/17, 9\/7, 4, 177?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -11*p**2 - 4*p - 45. Let a(f) = 5*f**2 + 2*f + 22. Calculate 13*a(t) + 6*m(t).\nAnswer: -t**2 + 2*t + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y - 6*y + 2*y. Let i(p) be the first derivative of 5*p**2 + 10. Determine m(i(u)).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 37 + 13 = 0. Suppose -m - 4 = 4*p. Let i be (p\/(-2))\/((-19)\/114). What is i rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 26*g**2 + 4*g + 147. Calculate the remainder when 130 is divided by d(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*f*w**2 + 428*f + 20*w**4 wrt w.\nAnswer: 8*f*w + 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4509497 millilitres to litres.\nAnswer: 0.0004509497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**6\/540 + 11*t**5\/270 - 13*t**4\/36 + 5*t**3\/3 + 5*t**2. Solve k(h) = 0 for h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 2)*(-2 + 7 - 3) + 2 - 5 + 5)*(-34922*q**3 + 17465*q**3 + 17455*q**3 - 1363).\nAnswer: 4*q**3 + 2726","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*l**4\/7 - 3311*l**3 + 327548*l**2\/7 + 95132*l - 163904\/7 = 0. What is l?\nAnswer: -2, 2\/9, 16, 2561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*j - 5*j - 560. Let h = 4 + -38. Let p = h + j. Let w(k) = -k. Give w(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - q. Let k = -19 - -17. Determine h(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2. Let r(k) = k**3 - 3*k**2 + k + 2. Let q be r(2). Let o(d) = q*d - d + 2*d - 3*d. Give w(o(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 42*s - 37*s - 36, -s = -2*r - 2. What is the least common multiple of 298 and r?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, 40, 144, 332, 628?\n\"Answer: 4*o**3 + 6*o**2 - 2*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.422 - 0.352. Which is the third smallest value? (a) 3 (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 7\/5 - (-574)\/10. Let w = -50 + s. Let v(p) = -p**3 + 10*p**2 - 4*p - 1. Does 14 divide v(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1871*a + 1871*a - 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 4*k**2 + 2*k - 2. Let y(i) = -i**3 - 9*i**2 + 9*i + 4. Let z(m) = -m - 18. Let u be z(-8). Let w be y(u). Suppose w*p = -3 - 25. Give s(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1238*y**2 - 82534*y - 761095872 wrt y?\nAnswer: 2476*y - 82534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 479365861 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: Which is greater: 56 or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23182407.\nAnswer: 3, 17, 277, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31123 - 4041?\nAnswer: -35204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 98. Suppose -z*n + 31480000 = -102*n. Round n to the nearest 100000.\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)\/f*f*f**8*f)\/(f\/(f*f\/(f*(f**(-7)*f)\/f*f))*f**(-3)) assuming f is positive.\nAnswer: f**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 24*s + 60. Let g be t(26). Suppose g*d + 16 = 10*d. Suppose 0 = -2*q + d*q - 6. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 2:11 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**6\/6 - 17*j**4\/2 - 4*j**3\/3 + 4*j + 212. Find the third derivative of v(g) wrt g.\nAnswer: 60*g**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 21*m**2 - 12*m + 246. Let c be s(-22). Solve -c = 21*r + 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -24b2196?\nAnswer: -24b2191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 14110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2. Let t(j) = -3*j**2 - 6*j + 9. Let p be t(-4). Let o be (-588)\/p + 12\/15. Let z(d) = o - 7*d - 40. What is s(z(a))?\nAnswer: 49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - -1 - 176\/(-92). Let l = -105.175 - -1.075. Let r = l + 104. Which is the smallest value? (a) o (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -35, 4, -527.\nAnswer: -527, -35, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*y + 22059 = 22851 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.7097 + 18.6187. Let m = o - -1.071. Let c = m - 14.2. Round c to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 15 (c) 0.14 (d) 3 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -0.086481, -0.5, 0.01, -0.1?\nAnswer: -0.086481","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 3*d + 9 = 0, -5*d - 3 = -m - 31 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 0. Suppose -3*i - 3 = 3*b, -5*b = 2*i - 4*i - 9. Sort x, i, -3, 3.\nAnswer: -3, i, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2*p + p + 595 = 568, 9*u = 4*p + 71 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1218*m**5 - 1781*m**2.\nAnswer: -73080*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 + 61*t + 136. Give y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 22*y + 50. Let h(g) = -5*g - 16. Calculate 10*h(j) + 3*l(j).\nAnswer: 16*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-10 - (-5 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 46\/1341, -4\/9?\nAnswer: 46\/1341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 2\/21, -4, -0.5, 2\/5, -56?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -15707a1?\nAnswer: 15707a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, i: 4, c: 5, g: 1, z: 1}. Give prob of sequence cz.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(28))**2*1*1 - (5 + sqrt(28)\/sqrt(4)*1)).\nAnswer: -115 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (5*-28)\/4. Let b = -28 - r. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33870, 67738, 101606, 135474, 169342, 203210?\n\"Answer: 33868*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, d: 4, n: 8}. Give prob of picking 2 b and 1 d.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -i. Suppose i = 3*p - 0*p - 18. Suppose -9 = -4*t - 4*y + 19, -2*t - 3*y + 12 = 0. What is the remainder when t is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a4125 - 360?\nAnswer: -3a4485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 29 - 1\/4*q**4 + 2*q**2 - 10*q + 7\/3*q**3. What is the units digit of s(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x + 4 + 1 + 1 - 4. Let l be j(7). Is l + -5 - (6 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 2:14 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*w - 1. Suppose 3*f = -6 - 0. Put f, w, -3 in decreasing order.\nAnswer: w, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134407 is divided by 7783?\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/20 and -75\/63182.\nAnswer: 631820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 15, -3*p - 4*h - 2 - 4 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1199 and 218.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.92 - -1968918163.8.\nAnswer: 1968918191.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**3 - 876*p**2 - 29504*p - 55536 = 0.\nAnswer: -178, -39, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3382?\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -48*v + 1. What is the tens digit of l(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203015 (base 7) in base 11?\nAnswer: a4479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zejjdd. What is prob of sequence zj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -13. Suppose c*z = z - 7554. Is ((-8)\/12)\/((-4)\/z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580 divided by -116?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-7))\/(w\/(w\/(w*(w**(-8)*w)\/w*w))) assuming w is positive.\nAnswer: w**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.896 * -635.85\nAnswer: -569.7216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-174)\/(-21) - (-2)\/(-7). Let o be 2\/((-2)\/3) + 6. What is the first derivative of -b - r + 11*r - o*r wrt r?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1562 - 328. List the prime factors of v.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x. Let h(c) = -251 + 251 + c**2. Determine h(v(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1548 - 13*q + 1548 + (-6*q + q + q)*(0 - 1 - 1) + 0*q + 2*q - 3*q + (-2 + 2 - 1)*(q + 0*q + 0*q).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 2:04 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m. Let f(k) be the second derivative of -k**5\/40 + k**3\/6 - 17*k. Let c(w) be the second derivative of f(w). Calculate z(c(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 814*w - 202*w**3 + 115*w**3 - w**2 + 85*w**3 - 2 to the form t*w + a*w**2 + r*w**3 + p and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 4*j**2 + 4*j - 1. Let n be c(-5). Let w(g) = 4*g - 5. Give w(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**2 - 1. Let b(l) = -339*l**2 + 689*l**2 - 345*l**2. What is o(b(z))?\nAnswer: 125*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7247)\/(-5) + -7 + (-12)\/(-20). Calculate the greatest common divisor of 39 and q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7)\/42 - 124026\/(-36).\nAnswer: 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 119 + -60. Let k = 179\/3 - h. Which is the third smallest value? (a) 2 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*1)**2 + sqrt(190)\/(sqrt(40)\/sqrt(4)).\nAnswer: sqrt(19) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 3*n - 7 = 2*v, -2*n - 27 = 5*v. Let l = v + 14. Is l != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-18) - (-1180)\/(-36). Let q = z - -55. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17489803 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 129*p**2 - p - 2. What are the prime factors of n(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 - g**2 - g + 1. Let v(j) = -107*j**3 + 6*j**2 + 6*j + 461. Let d(x) = -6*q(x) - v(x). Differentiate d(r) with respect to r.\nAnswer: 285*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 353683136.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -17\/3, -3, 1\/2, -2\/141, 0.1 in increasing order.\nAnswer: -17\/3, -3, -2\/141, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + j + 18, -5*g - 15*j + 45 = -12*j for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 96? (a) -40 (b) 5\/3 (c) -339.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + w**3 - 5*w**3 + (5*w**2 - 2*w**2 - w**2)*(2*w + 2*w - 2*w))*(0*w + 3*w - 4*w).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmymhyhamsmyhy. What is prob of picking 1 y and 1 s?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 738973500 to the nearest integer?\nAnswer: 27184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 29*r + 1221. What is c(-22)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2663*b**2 + 498353 - 3*b - 498353 in the form i + m*b + a*b**2 and give a.\nAnswer: 2663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -158\/3339 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 2*d**6\/15 - 19*d**3\/2 + 168*d. Find the second derivative of c(i) wrt i.\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7086 is divided by 3494?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*i - 4. Solve 0 = 4*u - 2*f - 10, 5*u + i*f - 7 = -0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169a (base 16) to base 4\nAnswer: -1122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3084*c + 7412*c - 2589*c.\nAnswer: 1739*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 157640739713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 9, z: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4088212?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/((-3)\/(30\/8)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2*u**2 + 20759*u**3 + 2*u**2 - 20757*u**3.\nAnswer: 2*u**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(11\/30 - 2\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 - 0)*(3 + -9). What is the greatest common divisor of 135 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006006 is divided by 100598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -44*x**2. Let i(c) = 100239*c + 2. Determine i(z(l)).\nAnswer: -4410516*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6\/105*-32*15\/(-120)*-5\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26791077?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/15)\/(67\/(-335))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 7*h + 2394 = 0. Let f = 566 + h. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, 69, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346149*-5.\nAnswer: -1730745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h + 2*h - 2*h. Let t(r) be the first derivative of -r**2 + 14. Calculate t(k(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15485? (a) 1\/4 (b) -5 (c) 0.3 (d) 2\/13 (e) 9 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.8 - 0.2. Let x be 2\/(-6)*6\/(-1). What is the third smallest value in x, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/10*(188 + -187)\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -267.0000307 + 267. Round n to 6 decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*z - 24*z - 16. Let g = 0.9 - 4.9. Let o = -0.171 - -0.071. Which is the nearest to g? (a) o (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 325 and 455?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 2:44 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**2)\/x*x)**(-14\/3)*x**(-12)\/x**(4\/3))**(-2\/41) assuming x is positive.\nAnswer: x**(64\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (418\/215 + -2)\/((-12987)\/(-28305) - (-1)\/(-17))?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 27*m + 76. Let h = -7478 - -7475. Calculate l(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*q - 4. Suppose j - 16 = 3*f + 12, -36 = 3*f - 3*j. Let n = f - q. Sort -1, 4, n in decreasing order.\nAnswer: 4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8543319 divided by -1?\nAnswer: 8543319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 + 9 + (29 - 49).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 739.8623 nanograms?\nAnswer: 0.0007398623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/2 + 4139*s - 41365\/2 = 0. What is s?\nAnswer: 5, 8273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1438 or 605?\nAnswer: 1438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 + 101 = -6*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-6))\/(n\/(n\/n**3)))**(-16)*(n**(-1)*n)**(-7\/11)*(n*n\/((n**(-1\/3)\/n)\/n))**27 assuming n is positive.\nAnswer: n**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = 2*y - 15, -5*z - 4*y = 22 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**5\/10 + u**4\/4 + u**3 - 2*u**2. Calculate the remainder when c(-4) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2720480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -137*r**3 - 7*r**2 - 20*r - 9. Is l(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 222\/(-9) + 7\/(-21). Let v = j + 28. Suppose -3*d = -2*d. Solve d*i - 19 = 5*o + 4*i, v*i = 5*o + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = f + f. Let m(q) = -q**2 - 6*q**2 + f*q**2. Let u(j) = 3*j**2 + j**2 - 2*j**2. Give u(m(p)).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) - 5\/(-3). Suppose w = -q*w. Solve 0 = 2*v - 4, -3*k - 5*v = -w - 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 2:20 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1537 - 1535. Let v(b) be the first derivative of 0*b**5 - 5\/3*b**6 + 9\/2*b**x + 0*b - 10 + 0*b**3 + 0*b**4. Find the second derivative of v(l) wrt l.\nAnswer: -200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 9*z + 6. Let k be d(-5). Let x = k + 16. Suppose y - 26 - x = 2*q, 5*q = -y + 28. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3302572, -3302582, -3302592, -3302602, -3302612, -3302622?\n\"Answer: -10*v - 3302562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 731991100 a multiple of 1649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 629426299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 + 38*t**2 + 46*t + 65. Give w(-18).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3 - (5 + 0 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -35. Let u be x + (193\/2 - 1\/2). Suppose -z + 24 = 4*b, -3*z - b = -0*z - u. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4 + 5*(sqrt(2541)*2*-4)\/(sqrt(14)\/(sqrt(2) - sqrt(126)\/sqrt(7))))**2.\nAnswer: -7040*sqrt(3) + 2323212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 537?\nAnswer: -537.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t + 6*t + 3*t. Let q(b) = -3*b**2. Determine x(q(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3468377274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - (-22 + 39)) + 57?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u + 25*u - 3*p - 21 = 0, 0 = -2*u + 2*p + 22. Suppose -8*l = -u*l - 6. Solve -5*q + l*h = 4, 2*h = 2*q + 3*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 32*g**2 - 3 + 31*g**2 - 3*g**4 + 2*g**3 to the form m*g**2 + x + t*g**4 + n*g + p*g**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2024 - -26?\nAnswer: -1776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 13*h**2 + 23*h + 1. Let x be f(11). Suppose x*v - 376 = 16*v. Let s = v - -183. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1. Let z(s) = 0*s - 5*s + 6 + 2*s. Let y(b) = 18*w(b) - 3*z(b). Suppose -2 = -4*d - 5*h - 1, -d - 4 = -3*h. Give y(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1130545, -1130555, -1130565, -1130575, -1130585?\n\"Answer: -10*v - 1130535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 + -66. Solve -w - 3 = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44785 and -0.1.\nAnswer: -4478.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**1*u)\/u)*(u*u\/(u**(-2\/9)*u*u))\/u)\/(u**(-2\/5)*u\/(u*u**4))*(u\/((u\/u**(1\/4)*u)\/u*u)*u*u)\/(u**(-5)*u)*u**6*u*u**(-1\/9) assuming u is positive.\nAnswer: u**(2837\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 4:23 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 448\/(-98)*(-14)\/4 - (-276)\/(-69). Solve 10 = -3*s + q, 3*s - 7*s - k = -q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -594*h + 48 = -590*h. What is the smallest common multiple of h and 51?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 882 divided by -1?\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q. Let h(i) = i - 3*i + 4*i + 7*i. Calculate h(o(x)).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24807, 24819, 24845, 24891, 24963, 25067, 25209, 25395?\n\"Answer: i**3 + i**2 + 2*i + 24803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 - 6 = 0. Suppose -14*v + 50 = -4*v. Suppose -l - l - v*u - 10 = 0, 2*l - 26 = 4*u. Solve 3*z = 5*d - 23, -l*d + 0*d = m*z - 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 1, 1\/4031, 4\/5?\nAnswer: 1\/4031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19834 and 846.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1618.482 to the nearest integer.\nAnswer: 1618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1815505 and 460?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1343, -0.3, 67, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 5*i**2 - 4*i + 1. Let h(t) = -t**3 + t**2 - t. Let n(z) = -2*h(z) + y(z). Determine n(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -j + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-3)\/k)\/k)\/k)**(1\/10)*(k*k**(-11))\/(k**(-11)\/k))**1 assuming k is positive.\nAnswer: k**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -5 (b) -0.4 (c) -1 (d) 0.29 (e) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 46579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3187?\nAnswer: 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**(-8))\/y)*y)**(-7)*y*(y**(-4\/13)*y)\/y*y**21 assuming y is positive.\nAnswer: y**(-628\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 (base 9) in base 14?\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 v, and 1 u when three letters picked without replacement from uuuuuuiuuuouivvu?\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*h + 23*h**4 - 94 + 94 + 24*h**4 wrt h.\nAnswer: 564*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15 - 4*(-12)\/(-16). What is the common denominator of -87\/26 and 8\/36 + (-347)\/u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 10*i + 13. Suppose 3*h + 13 - 4 = -2*j, -h = 4*j + 33. Let a be c(j). Suppose 8*x + 6254 = 4*g + 3*x, a*x = -8. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g + 10*g + 2 + 22*g)*(3 + 0 - 1).\nAnswer: 42*g + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 55\/5 + (-1)\/(-1). What is the remainder when 68 is divided by ((-9)\/6)\/(i\/(-184))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, p: 4, c: 1, g: 5, a: 2, k: 1}. Give prob of picking 2 g and 2 q.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*j + 1156*j + 2983 + 3552 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*p**5 - 27*p**4 + 9*p**3 + 3*p**2.\nAnswer: 3*p**2*(p - 1)**2*(5*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1075235273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19515 - -19511. What is the smallest value in 1\/6, -3\/2, n, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 2. Let a be h(5). Suppose a + 5 = 4*d. Solve u = d*z - 1, -z - 4*u = -5*z + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 5*j**8\/1512 + 13*j**7\/315 + 28*j**6\/135 + 68*j**5\/135 + 4*j**4\/9 - 16*j**3\/27 + 29*j**2. Determine b, given that t(b) = 0.\nAnswer: -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**3 - 12*p**2 + 8*p = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -48*k**2 + 1575*k + 373. What is f(33)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -703*a + 378*a - 11*a**3 + 325*a.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 + 0*k + 4*k**4 - 28*k**2 - k + k**2 + 2*k as n*k**4 + x*k**3 + v + s*k + w*k**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/7, -72345 in decreasing order.\nAnswer: -2\/7, -4, -72345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4545 + 7017. Calculate the lowest common multiple of 412 and w.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (4 - 5 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -441 + 1328\/3. Which is the second biggest value? (a) w (b) 33 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 2*n**7\/35 + n**4\/4 - 3*n**2 + 17*n. Let h(j) be the first derivative of p(j). What is the second derivative of h(k) wrt k?\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2341.453118 rounded to the nearest ten?\nAnswer: -2340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + 4 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 7*g**2 + 13*g - 10. Calculate the remainder when 37 is divided by w(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:09 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91.011 - 91. Let i = -5.011 + v. Which is the second smallest value? (a) 0.05 (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-65)\/(-156) - 1\/(-3))\/(39\/65)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 570 by 11.\nAnswer: 570\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 4:15 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**(-4))\/a**5)**(-2\/43)\/((a**0\/a)**(33\/7)\/((a**(1\/11)\/a)\/a**(-9))) assuming a is positive.\nAnswer: a**(43322\/3311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10722*y - 5530*y - 6538*y - 7701*y to g*y + j and give g.\nAnswer: -9047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 5*w + 8, x - 4*w = 3 - 1. Let i(q) = 9*q + 1. Let f be i(x). Let g = 27 - f. Calculate the remainder when g is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 + -135. Let j = a - -42. Solve -l + j*l + 3 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2703393156?\nAnswer: 2, 3, 89, 2531267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*m - 0. Let f = -4 - -1. What is the third biggest value in -0.5, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r = 784. Suppose 2*j - 2*b - 7 - 7 = 0, -3*j + 5*b = -27. Suppose 0*o - r = -j*t - 4*o, -4*o - 281 = -5*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -2 - (86 - 86)) + -9 + -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, c: 1, r: 2, h: 2}. What is prob of sequence hhrw?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.73095 and 1.53.\nAnswer: 5.26095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.02913kg?\nAnswer: 8029130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18257736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47600)\/(-400)*22\/(-4301)?\nAnswer: -14\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22825*b**3 + 304*b**2 + 2*b - 15249426.\nAnswer: -68475*b**2 + 608*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1934.76 - -1858. Let x = 32.157 + u. Let z = 44.9 + x. What is z rounded to two decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 498*m**2 + 67*m - 546. What are the prime factors of x(7)?\nAnswer: 5, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + -59 - (-317 - -299).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t - 11*t - 13 = 5*d, -5*t - d - 25 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**5\/150 - t**4\/60 - 2*t**3\/15 + 3*t**2\/2 - 3*t. Let s(c) be the first derivative of w(c). Factor s(q).\nAnswer: 2*(q - 2)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6053573?\nAnswer: 233, 25981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 415766 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61764 is divided by 50?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 31698638\/19 and -2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-30)*2\/4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 91\/(-26)*(-1 - -13). What is the tens digit of 4740\/24*h\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 11:03 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1344798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31477 - 12?\nAnswer: 31465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*c**5 - a*c**2 + 1840*a + 30145*c**6 - 107*c**2 - 1 wrt c?\nAnswer: 120*a*c**2 + 3617400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - f. Let n(j) = -3*j**2 - 3*j - 4*j**2 - 3*j**2 + 2 + 5*j**2. Let o(r) = -n(r) + 3*q(r). What is the derivative of o(i) wrt i?\nAnswer: 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**1))\/p*p**(-3\/7))\/(p\/(p*p**4)*p\/(p*p\/(p\/p**(-1)))) assuming p is positive.\nAnswer: p**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4037901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3536)\/(-4760))\/(65\/150).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8500000 to the nearest 100000.\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6938, 7302, 7666, 8030?\nAnswer: 8394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 45*p. Let u(n) = 13*n. Give u(r(z)).\nAnswer: -26*z**2 + 585*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.015 and -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 1. Let c(t) = 6*t**2 - 19*t**2 + 4 - 9*t**2 + 56*t - 73*t. Let h(s) = -c(s) - 4*r(s). Find the second derivative of h(x) wrt x.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124 - 88. Suppose 8*p = -4 + s. Let q be ((-3)\/9)\/(2\/p). Is -2 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 8 = -2*s, -5*s + 2*d + 0*d + 18 = 0. Let c(o) = 4*o**2 - 6*o**s + o**2 + 4*o**2. Let l(k) = -2*k. Calculate l(c(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 385*u - 13873. What is t(36)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -47 (c) -364 (d) -2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.157, -0.5, 0.5, 2?\nAnswer: -0.157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -10*y + 3. Let i(v) = -27*v + 8. Let d(z) = -3*i(z) + 8*k(z). Suppose 4*t - t = 9. Let s(m) = -2*m + t*m + m - 5*m. What is d(s(x))?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*i + 1187 = -36*i + 5*z + 1224, -13 = 4*i + z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**6\/5 + 41*l**4\/6 + 29*l**3\/2 + 3*l**2 - 524*l. What is the second derivative of a(j) wrt j?\nAnswer: 72*j**2 + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46\/3 in -0.1, 3\/2, -1\/3, -193, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 16 + 2 = 0. Suppose -2*q + 1 = -3. Suppose -s + 4*b - 8 = 0, q*b - 9 = -5*s + 17. Calculate the least common multiple of s and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9294034 and 97706?\nAnswer: 1994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1495, -5753, -12851, -22789, -35567?\n\"Answer: -1420*n**2 + 2*n - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-1 - (6 - 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6 + 16*f**2 - 17*f + 21 + 18 - f**3. Let l be b(15). Let d(r) = -6*r - l*r**2 + 9*r**2 + 0*r + 6 - r**3. What is d(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 4*d - 4. Let z be c(3). Let s(h) = 3*h. Let y(k) = 3*k. Calculate z*y(r) - 3*s(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -16*m. Let n(y) be the second derivative of 5*y**3 - 5*y + 26. What is k(n(z))?\nAnswer: -480*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - 0.06. Let a = 0.5 - 0.2. Which is smaller: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 - 2*c + 3. Suppose 0 = 4*b - 9*b + 25. Let k be u(b). What is k rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18229451833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 282885042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23205?\nAnswer: 3, 5, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26423089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 91079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from osqouqysqqsu?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20060.12 - -2.07019.\nAnswer: 20062.19019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22010113113 - -1?\nAnswer: 22010113120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - b + 1 = -m, -4*b = -4*m - 12. Let d be m - (-7 + 3 + 1). Suppose -l + 8 = -3*g + 2, 0 = -d*l + g + 30. Solve l*w - 15 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536 - 2*q + 694 - 1230.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128.7878 decades to centuries.\nAnswer: 12.87878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -523*q + 1 - 4 + 4 - q**2 - 1151*q + 463*q to n + d*q**2 + f*q and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j + 18*j + 14*j + 13*j - 6*j + 62 to s*j + i and give s.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - 15) + -22 + (-1 - -4 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 39 + -5 + -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*h = 7*g + 5, 3*g + 4 = 2*h. Suppose -4*u = -g*u - 2. Let n be (24\/6)\/(u + 1). Solve -n*q = q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:04 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -129*h**3 - 3*h**2 + 44*h + 14. Let d(f) = 65*f**3 + f**2 - 21*f - 6. Determine 3*a(u) + 7*d(u).\nAnswer: 68*u**3 - 2*u**2 - 15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.93 + -16. Let x = -613 + 1172.4. Let j = 559 - x. What is the nearest to t in j, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 3. Suppose -6 = -r - 1. Calculate the remainder when r is divided by 1*(1 - b) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/6)\/((-16)\/(-72)). Let q be d\/8*32\/(-84). Let w = 31 + -92\/3. Which is the nearest to 1\/4? (a) q (b) w (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7472876133 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of (-62)\/4*(-60)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*g + 57040 = 363*g + 365*g + 563*g for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*(-4 - -3) - -1. Let n = -123 - -113. Let t = n + h. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 = -2. Suppose -3*j = l - 7, -2*l + f*j = 14 - 1. Let o = 8 + l. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 4:22 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 5*n + 16, 0 = 5*n - 45*p + 42*p + 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: a9 (base 14) to base 11\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y - 5*v + 83 = 0, 0 = 2*y - 3*v - 43. Let t = y + -26. What is the second derivative of -4*u**t - 5*u + 3 - 3 wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2715989992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -u + 3*a + a, 306 = 4*u - 5*a. What is the least common multiple of u and 2?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*t - 432 = 6*t. Let g(o) = 4*o + 38. Let z(j) = -3*j - 25. Let f(u) = 5*g(u) + 8*z(u). Calculate the remainder when 25 is divided by f(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 303*c**2 + 9*c - 3. Let h be x(-2). Suppose -5*p + 3149 = -h. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -86544?\nAnswer: -86547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17409009 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -2. Let i = 3 + -2. Let h = i + x. Solve 5*a = -s - 5, 0*s = -h*a + s + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/7 - -8\/35. Suppose 3*h + 6*o = 4*o - 158, 0 = h + 2*o + 54. Let w be (-2)\/7 - h\/84. What is the closest to j in -5, w, -4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-15) + (-1)\/(-1). Suppose -2*k - 67 = -3*u + 207, 3*u + 5*k - 260 = p. Suppose -4*h + u = -h. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzzzgzzzzzzzzz.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - f. Let u(a) = 51*a**2 + 20*a + 1. Let i(t) = -3*m(t) + u(t). What is the second derivative of i(j) wrt j?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 2*m**2 + 3488*m**3 - 6859*m**3 + 3501*m**3.\nAnswer: 130*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*p + 40*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Suppose -r*k + 12 + 11 = 2*j, -4*j + 38 = -2*k. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10*((-4)\/(-24) - 0). Let j = 123.8 + -124. Let v(l) = 7*l + 11. Let x be v(-2). Sort d, j, x in descending order.\nAnswer: j, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9924*q + 2135. Is h(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1953923*l**4 - 9597085*l**2.\nAnswer: 46894152*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 12:39 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 131 = 2*h, p + 2*h = -4*p - 703. Let m = -92 - p. List the prime factors of m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32027.\nAnswer: 32027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**4\/12 + i**3\/3 + i**2 - i. Let a(f) = f**2 + f. Let b be a(-3). Suppose 4*l - b*l + w = -8, -l - 2*w + 4 = 0. Give n(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 200.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -47*b + 329. Let d be j(7). Which is bigger: d or 2\/701?\nAnswer: 2\/701","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1218*l - 1294*l + 5548 = 0 for l.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 >= -118\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 8)*(31 + 1)\/(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857217856.\nAnswer: 2, 11, 109, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 16 = 12. Let y = b - -9. Let l be -4*(1 + 9\/(-6)). What is the highest common factor of l and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4611159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 + -72. Find the third derivative of -21*z**4 + 9*z**4 + 17*z**2 + 11*z**j + 9*z**4 wrt z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617778.\nAnswer: 2, 3, 7, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -699.86 - -761. Let c = m + -60. Let n = -1.1399954 + c. Round n to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103377221 is divided by 523.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 563935300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/sqrt(5) - (sqrt(7) + (1 + sqrt(7))**2 + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 12. Suppose 9*p = 3*p. Suppose 8 = -3*l + 23. Suppose -t + l*t = p. Calculate j(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/66)\/(4*-5)*25.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j**3 - 35 - 37 + 109 - 37.\nAnswer: -21*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - d**3 + 26*d - 26*d)*(2 - 3 - 1 + (3 - 1 - 3)*(2 - 3 + 0) + 4 + 0 - 3 + 0 + 2 - 4)*(-4 + 4 + 2).\nAnswer: 4*d**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6. Suppose 0 = 3*h - 3 - f. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 861*b**2 + 863*b**2 - 32 + 100.\nAnswer: 2*b**2 + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 14*o - 14. Suppose -5*q - 2*m = 59, -m - 11 = -3*q - 42. Let l be x(q). Calculate the common denominator of l\/(-9) + 7\/(-14) and 79\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006988 rounded to 7 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 28*i**2 + 24*i - 74. Suppose 4*n - b + 115 = 0, -112*b + 114*b = -2*n - 40. Determine o(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 0.411934.\nAnswer: -4.411934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1805948 divided by -1279\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + r**2 - r**2 + (-4*r**2 + r**2 + 4*r**2)*(5 - 3 + 3).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -719*d**2 - 1307 + 1307 + d**2 - 5*d**2 + 2*d**2 + (-2*d**2 + 4*d**2 + 0*d**2)*(2 - 2 - 2) as p*d + s*d**2 + g and give s.\nAnswer: -725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - a**2 - 1. Let y(v) = -6*v**3 - 11*v**2 - 2*v - 6. Let b(i) = 5*u(i) - y(i). Calculate the remainder when b(-3) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o + 4*o + 6*o + 5*o - 2*o + 52. Let g be n(-5). Factor -3\/5*p + 3\/5*p**g - 6\/5.\nAnswer: 3*(p - 2)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 4. Calculate o(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19987664 less than -3?\nAnswer: 19987661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -40*(1 - 14\/4). Let j be (-2)\/(-8) - (-81)\/12. Suppose -12*z + o = -j*z. Solve 5 = -3*g + z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -166487*p**2 + 10117*p + 5 wrt p.\nAnswer: -332974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4661928883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 8*c**2 - 3*c + 5. What are the prime factors of j(-8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 1 - 29 = 5*g, 0 = 4*u + 4*g + 24 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19166772 a multiple of 834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -116811788 divided by -32012\nAnswer: 3649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10507*n + 45844*n + 52011*n.\nAnswer: 108362*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9870 and 100086?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510*x**3 + x**2 - x**2.\nAnswer: -510*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 32. Does m = 32\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51 less than 0.0881?\nAnswer: -0.4219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13.551, 14.9, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/60 of a hour?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 700, 848, 1086, 1414, 1832, 2340, 2938?\nAnswer: 3626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 14*o + 1. Let h(t) = 792*t + 54. Let b(q) = h(q) - 54*i(q). Let p(v) be the first derivative of v**2 + 1. Determine p(b(u)).\nAnswer: 72*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 - 1042 = -25*k. Is -20*1*(-68054)\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5\/9 + 12800*f**4\/9 + 20364506*f**3\/9 - 369484516*f**2\/9 + 1975511744*f\/9 - 2636206336\/9 = 0 for f.\nAnswer: -3209, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -16*r**2. Let f(j) = 8*j**2 + 6*j - 6. Let y(q) = -q**2 - q + 1. Suppose 5*m - 10*m = 30. Let n(l) = m*y(l) - f(l). Give g(n(o)).\nAnswer: -64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/15 - 6568*o**2\/5 - 3462390*o - 5489035956\/5 = 0. Calculate o.\nAnswer: -4743, -366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**5 - 46559718*v**4 - 6059388*v**2 - 1?\nAnswer: 60*v**2 - 1117433232*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 2:37 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -563767, -2255053, -5073855, -9020167, -14093983?\nAnswer: -20295297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.3 - 6.3. Let d = 14.008 - p. Let i = d + 1.992. Is i > 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -106, 32, 310, 776, 1478?\nAnswer: 2464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9525\/1103 >= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 988533 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: Let y = 5219858.10159 + -5219831. Let x = 71.7 + -44.6. Let p = y - x. What is p rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -803473, -803442, -803411, -803380, -803349?\n\"Answer: 31*b - 803504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrx when three letters picked without replacement from xxxrrxxrrxrxxx.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2 (c) 181 (d) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3\/3 + 2677*h**2\/3 - 143314*h - 12395040 = 0. Calculate h.\nAnswer: -62, 240, 2499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84317.14 days to milliseconds.\nAnswer: 7285000896000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-2))\/((2\/(-4))\/(-1)). Let x(b) = b**3 - 2*b**2 + 2*b - 2. Calculate x(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696763 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7723220 divided by -7723220?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 17\/2*m**2 + 0*m - 189. Let l(q) = q. What is l(w(f))?\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 7408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24, 135, 392, 867, 1632, 2759?\n\"Answer: 12*a**3 + a**2 + 24*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*m - 3*m - 21*m)*((-35*m + 92*m - 41*m)*(4*m + 1 - 1) + 2*m + 2*m - m**2 - 5*m).\nAnswer: 1827*m**3 - 29*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5 = 2*f + 2, z = -3*f + 7. Solve -f*c - 3 = 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-seven halves of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 + -1.3. Put 3, b, -3 in increasing order.\nAnswer: -3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305 a factor of 398691855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5232\/16)\/(42\/7))\/(18\/36).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11446, -11432, -11416, -11398, -11378, -11356?\n\"Answer: k**2 + 11*k - 11458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = t - 71. What is the greatest common factor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1959, -3817, -5603, -7311, -8935, -10469?\nAnswer: -11907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 16*l**2 - 21*l - 14. Let x be b(6). Solve 4*r + x = -8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -4772c34?\nAnswer: 4772c2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c28 + -78?\nAnswer: 1b80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -11 - 7*s + 1\/2*s**2 + 1\/3*s**3. Let o be g(-4). Calculate the highest common divisor of 55 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/11, 29, 3762?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98*g**3*u**3 + 433*g**3*u - g**2*u**3 - g**2 - 1179*u**3 wrt g.\nAnswer: 588*u**3 + 2598*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 6583.\nAnswer: -6\/6583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1568.\nAnswer: -1\/392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -135 - -677\/5. Let z = -0.3 + 0.6. Let j = 6 - 3. Which is the third biggest value? (a) j (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -12*v + 4. Let y(b) = b - 1. Let z(w) = h(w) + 8*y(w). Let j be z(-7). What is the units digit of 2\/(3*2\/j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (3 - 2)) + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + d - 2. Suppose -31 = -7*b - 10. Calculate t(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -766.2331 from -2585.\nAnswer: -1818.7669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -201.6032473 + -1.\nAnswer: -202.6032473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7972, -15796, -23620, -31444, -39268?\nAnswer: -47092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 689665017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 5438 = -5564 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 - -231014?\nAnswer: 231042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*1\/(-1 + 2). Let t = 44 + -20. Let s = t + -26. What is the closest to 0 in s, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4586382651?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/189726 and 23\/7368.\nAnswer: 758904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120087798 or 120087797?\nAnswer: 120087797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1405 + 1423. What is the smallest common multiple of 2080 and w?\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6959430 divided by 106\nAnswer: 65655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -3)\/((-2)\/2). Suppose 0 = -b - z + 26, 16 - 43 = -2*b + g*z. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 0*y**2 + 0*y**3 - 7*y + 3\/2*y**4 - 1. What is the derivative of p(h) wrt h?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -185943 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -99588, -199835, -300082, -400329, -500576?\n\"Answer: -100247*s + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*d + 107*d - 12546 = 0. List the prime factors of d.\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234260000 rounded to the nearest one million?\nAnswer: 234000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137 - -1152 - 52\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -326*h**3 - 24 + 27 - 3*h**4 - 6 + 2 as x*h**4 + l*h**3 + z + s*h + q*h**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w + 10 = 0. Suppose 5*j + w*y - 35 = 0, y = -j + 4 - 0. Let v = j + -5. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51585 and 724.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 284+4709348356698\nAnswer: 4709348356982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(6\/11)*q**(1\/3)\/q)**10)**41)**(5\/3) assuming q is positive.\nAnswer: q**(59450\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/11 + 8*o\/11 + 42\/11.\nAnswer: -2*(o - 7)*(o + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64547489?\nAnswer: 41, 283, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-1)\/(-6))\/(4*(-9)\/756)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1143 (b) -1\/5 (c) 0.251 (d) 2\/21 (e) 33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 1050384*z - 68956659216.\nAnswer: -4*(z - 131298)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 9:33 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h**3 + 12*h**3 + 0 - 5 + 8*h**3.\nAnswer: -6*h**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -996?\nAnswer: -996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Let r = 3 - 3. Suppose r = -3*f, -5*n = -n - 3*f - 20. Which is the closest to 1\/4? (a) n (b) 1\/6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5987.\nAnswer: 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(5\/(150\/(-4))). Let w be 3*5\/(b\/4). Suppose 4*s + 152 = w*f - 0, 0 = -f + 5*s + 18. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5\/3 + 1\/3*p**2 - 2*p = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 169064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66417 divided by 3.\nAnswer: -22139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**4\/2 + w**3\/6 + w**2 - w. Let m(c) be the first derivative of z(c). Is m(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -0.1, 2\/77, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 105*n - 523. Let j be k(5). Put -14, 39\/2, j in ascending order.\nAnswer: -14, j, 39\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 3. Let m be (412\/(-8))\/(2\/(-2020)). Suppose -b*v - u - 204789 = 3206, 3*u - m = v. What is v rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41209 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 744*t - 8934. Calculate y(13).\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47499 and 0.2906.\nAnswer: 13803.2094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)*x*x)**3*(x*x**(-4\/11))\/(x\/x**1) assuming x is positive.\nAnswer: x**(299\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*s + 53297 - 53926 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 125*b**2 - 14*b + 49. What is the hundreds digit of v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98544 or 98573?\nAnswer: 98544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 70905 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -7. Suppose 5*v = -2*r + t, 0*v - 3*v + 2*r = -19. Suppose 0 = -q - v*q + 2*u + 12, -2*q + 5*u - 2 = 0. Solve -b + 5 = 0, h + q*b - 24 = -5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -17*z - 3. Let x be g(-2). Let s = -22 + x. What is the smallest common multiple of 11 and s?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, -21, -89\/5?\nAnswer: -89\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 420324300 (base 5) to base 8\nAnswer: 6462636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 4*u + 11. Suppose -10 - 5 = -b. What is the remainder when f(8) is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4))**(36\/7) assuming s is positive.\nAnswer: s**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - p = p + 25, -5*n = 3*p + 30. Let z(y) = 2*y**2 + 5*y + 3. Let h be z(n). Let c = 8 - h. Solve 0 = d - c + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**8\/120 - 3*l**4\/8 - 19*l**3\/3 - 5*l**2. Let u(v) be the first derivative of n(v). Differentiate u(x) wrt x.\nAnswer: 56*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 14) in base 9?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 4*q**2 + 5*q. Suppose 10 = 3*a + 2*a. Suppose 5*n = 2*w - 14, -4*n = -5*w + n + 50. Let p be (8\/w)\/(a\/(-15)). Give r(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/4*(-4)\/5. Let w = 0 + 1. Put d, 0, w in decreasing order.\nAnswer: d, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -26, 16, -2\/7, -1\/4, -182?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39667.08 decades to centuries.\nAnswer: 3966.708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -2.9. Suppose 4*w = -3*y + 8*y + 9, -w = -3*y - 4. Which is the closest to -5? (a) w (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -793515 + 4028339 = -22600*b - 7632*b for b.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 7. Let p be 60\/21 - g - 1636\/14. What is p rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1880 and -193\/15398610.\nAnswer: 61594440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -4 (c) -1\/6 (d) 42\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 + -3?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1\/7, 0.2, 1\/158, 4\/5.\nAnswer: -11, -1\/7, 1\/158, 0.2, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.01257 weeks in days?\nAnswer: 532.08799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 - 83 + m**2 + m**3 + 50 + 101 - 15*m + 27 in the form h*m + s + c*m**2 + k*m**3 and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 22. Which is the nearest to -0.1? (a) 2\/3 (b) q (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 27*u**2 - 13157. Let k(n) = 2*n**2. Determine j(k(y)).\nAnswer: 108*y**4 - 13157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2945 and 40714625.\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 12*c = -8*c + 32, 0 = 4*c + 12. Let i be (-15)\/6*l\/((-15)\/6). Let k(n) = n**3 + 4*n**2 - 2*n + 2. Give k(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58450 and 2915150?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 6*h**2 + 4. Suppose -5*i + 35 = 5*a, -2*i - 4*a + 12 + 4 = 0. Let p be d(i). Suppose p*n = 105 + 151. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 + 9 + ((5 - -11) + -34 - -27)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -10*z**3 + z**2 + 3*z + 3. Let d be 4\/(-16)*-3*-4. Calculate the remainder when j(-2) is divided by 20 + d\/(-7 - -4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 19?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 253 + -252. Let m = 227 - 228.6. Suppose 0 = -z + 4, -5*z - 1 + 21 = o. Which is the third biggest value? (a) s (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -4\/458207 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*q + 60. Find the second derivative of -6*s + 8*s**4 + 14*s - 4*s**4 - q*s wrt s.\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 35 + 95 = 0. Suppose 5*g - f = 95. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = -0*v, 3*i + v = 53. Let x = 692 - 689. Sort 1, i, x in decreasing order.\nAnswer: i, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.061 + 0.591. Let k = 0.03 - i. Suppose 4*o - 2*y = -20, 2*o - 3*y + 15 - 1 = 0. Which is the smallest value? (a) o (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 7 + -26 - 6 - 1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12915, 15338, 19385, 25062, 32375, 41330, 51933, 64190?\n\"Answer: c**3 + 806*c**2 - 2*c + 12110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111001110010 (base 2) to base 8.\nAnswer: 77162","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 1108554525 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 (base 11) in base 15?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.4, 0.1, 1.2, 56?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.6 (b) 1 (c) 32 (d) 6 (e) 5 (f) 411\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.9066 litres to millilitres.\nAnswer: 1906.6","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.05 (b) -0.15 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 486937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*(i*i\/(i*i\/i**(-3)*i))\/i*i))\/i**(2\/3))\/(i**1*(i\/(i**11*i))\/i) assuming i is positive.\nAnswer: i**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-7)\/2))\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 0.532087.\nAnswer: -4.467913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/513 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6241 - 2909 = -10*c - 5*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7197, 14441, 21669, 28875, 36053, 43197, 50301, 57359?\nAnswer: 64365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 12*x + 16. Let u be f(-13). Suppose 0 = -0*c - 2*c + r - 8, 5*r = u*c - 2. Let p = 12 + c. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4663434 (base 8) in base 6?\nAnswer: -43130540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 34180*f - 58413620.\nAnswer: -5*(f - 3418)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 1127147*o**2 - 123*o - 121. Is d(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 43 = -16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(98) + -2 + -2*sqrt(98) - 1*(sqrt(98) - (sqrt(98) + -1))) + -3)**2 + -3*((-2 + sqrt(98))*-2 + 1).\nAnswer: 116 + 126*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by 301.\nAnswer: -31\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 20 - 6 - 32*r**2.\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -3*m - 12, -84*m + 83*m = 5*n + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16715 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(4\/9)*b*b)**(-6)\/(b**(-12)\/b**(-28)) assuming b is positive.\nAnswer: b**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + (0 - -1) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*w + 260*w - 63*w + 275*w.\nAnswer: 382*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176934417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 23*d**2 - 55*d + 165. Let x be t(3). Let j = -14 + 37. What is the greatest common factor of x and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 38. Let a be ((-10)\/5 - p\/(-10))*5. Let l = 14 + a. What is the remainder when l is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17140, 17122, 17096, 17062, 17020?\n\"Answer: -4*d**2 - 6*d + 17150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 - 83*k + 19 + (0*k - 4*k + k)*(-4 + 5 + 1) + (-3*k + 6*k - 4*k)*(3 - 2 + 0).\nAnswer: -90*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2534660 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*r + 10986 - 4446 + 6024 = -2088 for r.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -52 + 98 - (13 - (41 + -19))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.2, 1\/4, 1942.91, -0.4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 85\/(-136) - (-2 - (-34)\/16). Let h = -1 - -1.3. Put 5, c, h, -1 in descending order.\nAnswer: 5, h, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1665646.\nAnswer: 2, 137, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -393?\nAnswer: -393.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 523 - 522.99999841. What is p rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 8. Let t(x) = x**3 + x - 6. Let y be t(0). Let j be w(y). Suppose -41 = -j*v + 5*u, 0 = -0*v + v - 4*u - 2. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4200809?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-348)\/(-19575))\/(2\/9)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -4.2 (b) 4\/9 (c) -1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 1512?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-one fifths of a micrometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2140, 2051, 1902, 1693, 1424, 1095?\n\"Answer: -30*x**2 + x + 2169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -698 - -1138. Let p = g + -434. Let n(y) = 2*y**2 - y - 1. Let u be n(-1). Solve 2*x = -u - p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -15*b**2 - 13*b + 11. Let k(c) = 42*c**2 + 40*c - 33. Let q(f) = -4*k(f) - 11*u(f). Let i be q(-6). Solve 3*j - m - m + 1 = 0, i*j + 27 = -3*m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 429781 + 40\nAnswer: 429821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 361, 3, 1.\nAnswer: -5, 1, 3, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -391, -772, -1151, -1528, -1903, -2276?\n\"Answer: p**2 - 384*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 139425*m + 1300. Let j(k) = 322*k + 3. What is 1300*j(x) - 3*w(x)?\nAnswer: 325*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146 and 2482.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**6\/3 - 36*n**5\/5 + 53*n**4 - 400*n**3\/3 + 159*n**2 - 92*n - 3730. Factor m(y).\nAnswer: -2*(y - 2)*(y - 1)**3*(y + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -7 - 1. Suppose z - n = -z. Factor z - 2*m - m**2 - 4.\nAnswer: -m*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(13) - sqrt(39)\/sqrt(3)*4)*6 + -1.\nAnswer: -18*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 4. Determine x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3964*s + 2 + 265*s + 1448*s - 59*s + 2*s**2 as b*s + m + f*s**2 and give b.\nAnswer: 5618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 6*q - q - 146 = 0, -139 = -2*j + 5*q. Let k = 63 - j. Solve -2*h + k + 2 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 - 26*z + 23. Determine x(11).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/41)\/(a**(19\/4)*a*a)*(a**(-34)*a)\/a**(-33) assuming a is positive.\nAnswer: a**(-1119\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 14 = -41. Suppose -d = -4*z + 3*q, z - 5*z - 2*q - 14 = 0. Let a(h) = 1 - h + 3*h - h. Give a(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4322 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 8 = i, -4*a = 21*i - 19*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19\/5*b + 14 + 1\/5*b**2.\nAnswer: (b - 14)*(b - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2458000 to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395*a**3 + 303*a**3 + 568*a**3 - 199*a**3.\nAnswer: 1067*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -714 (base 8) in base 10?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 1. Let p be d(1). Let j = -66 + 68. Factor 3*o + 2*o**2 - 3*o**p - 4 + j.\nAnswer: -(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128.021 + -6.301. Round c to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1142*r + 65 - 1151*r + 32.\nAnswer: -9*r + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 90 = 9*o. Let c be (14\/(-10))\/(o\/45). Is c greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42434 and 3528?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 2:36 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*c - 566*c - 2*c**3 - 889*c + 14.\nAnswer: -2*c**3 - 1433*c + 14","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 2. Let f be -3*(40\/12 + -4). Calculate p(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -43. Calculate the remainder when 56 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10778 - -b?\nAnswer: -1076d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -124, -131, -142, -157?\n\"Answer: -2*u**2 - u - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 12890077?\nAnswer: 25780154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxhh. Give prob of picking 2 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 2.6\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8264 - 214793\/26. Find the common denominator of 366\/20 + (-2)\/(-10) and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 7739.61 to the nearest 100.\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/1360*-5*48\/(-18)*2\/(-239)\nAnswer: 2\/239","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*g - 96. Let z = -18 - -40. Let d = g - z. Solve -d = -2*b - 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54586957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(sqrt(343) + -1)*2 - -3*6*(0 + sqrt(847) + -5 - sqrt(847)).\nAnswer: -102 + 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 - 9*j + 10*j + 3940 - 23*j**4 - 3942 in the form a*j**2 + f*j**4 + i + h*j**3 + c*j and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 73849281 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 41 - 7 - 17 + 32. Let s = 2 + -2. Does 11 divide v(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v. Let j(h) = -6*h - 1. Let r be (6 - 1) + (9 - 10). Suppose -3*f + 46 = -n - r*n, -2*f + 16 = -2*n. Give n*u(g) - 2*j(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 151061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 25*t**3 + t**2 - t. What is the tens digit of j(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, 1\/4, 7.9745, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3547 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -2\/3*o**3 - 3 - o**2 + 18*o. Suppose 5*u - 4 + 21 = -c, 0 = -4*c - 2*u - 14. Calculate l(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 7*z - z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in seconds?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 267.4 - 262.4. Which is the nearest to 0.014? (a) t (b) 2 (c) 4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 216*u + 10*u**2 + 23*u**2 + 22*u**3 + 442 + 3*u**2 + 0*u**2. Let j(y) = -2*y**3 - 1. Let n(p) = -20*j(p) - 2*r(p). Solve n(f) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -730 + 776.1. Let p = -41 - -87. Let n = p - w. Which is the third biggest value? (a) -7 (b) -0.5 (c) -0.4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-14\/9)*h)\/h*h*h)\/h*h**(-23) assuming h is positive.\nAnswer: h**(-212\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(39)\/sqrt(3)*-3.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and -13.888?\nAnswer: 194.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 866496 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2. Let b(o) = 4*o + 87. Let u(x) = -x - 4. Let l(k) = b(k) + 6*u(k). Calculate l(m(i)).\nAnswer: 4*i**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -1.58\nAnswer: -9.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -37 - 3*u + 4*u + 31. Let j be o(10). Suppose 3*h = j*t + 38 + 41, 0 = 3*t + 12. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 10*y**2 + y + 1. What is the remainder when f(-2) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 - 18 = 4*m. Determine w so that 0*w**3 - m + 27*w - 8*w**2 - w**2 + w**3 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -33 + 110. What is the lowest common multiple of 9 and b?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**2 - 11*n + 38. Determine f(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*q - 872 = -668 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 335.87245?\nAnswer: -335.97245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64629894083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a - 52 = -x, 208 = 4*x + 5*a. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 14 = 3*i, 2*i + 0*i + 4*r = -14. Let x = 91 - 817\/9. Which is the second biggest value? (a) 0.2 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*m + 8*m + m**2 - 378*m**4 + 4*m in the form k*m**4 + t + r*m + x*m**2 + s*m**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314142 = -171*y + 765381. Is 107 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - t**2 + t + 12. Calculate j(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**9\/i*i\/(i*i*i\/((i*i*i*i**(-1\/3)*i)\/i))*(i*(i**(-1\/6)*i)\/i)**(-28))**(6\/5))**43 assuming i is positive.\nAnswer: i**(-3784\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24215350 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-5))\/((-147)\/(-30) - 5). Let s be 596\/(-10)*(-40)\/b. Which is smaller: 0.1 or s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 204125 = -2*c + 522523, 0 = 2*c + 9*i - 318373. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h - 6. Let a(r) be the second derivative of 0*r**2 + 1\/12*r**4 + 7*r + 0*r**3 - 2. Calculate z(a(p)).\nAnswer: 4*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14694587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.41 - 1.3. Let s be (-18)\/270 + (-464)\/(-435). Which is the closest to s? (a) -2\/11 (b) h (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -4\/5 (b) 2\/615 (c) -749\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-27)\/(-126)*136)\/((-1)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317 + 3662.8?\nAnswer: 4979.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/4)\/(g**(-4\/9)\/g))\/((g\/(g*g**(-24)))\/g*g\/(g\/(g**16\/g))) assuming g is positive.\nAnswer: g**(-1343\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 67052633?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/384 and -19\/4752?\nAnswer: 38016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 88*a**3 + 8*a**2 - a - 3. Let n be p(-6). Let h be 8\/(-36) + n\/(-27). Find the common denominator of (-2)\/(-60)*h\/(-6) and 99\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -247817*a**4 - 581165*a.\nAnswer: -2973804*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 - -0.2. Let n = 43 + -303\/7. What is the smallest value in n, m, 1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -577545828 to the nearest one million.\nAnswer: -578000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-4 + 33\/9). Is k at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 5*x**2 - 10*x - 21. Calculate a(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 179*m - 1258542. Let c(g) = -2*g. What is c(o(k))?\nAnswer: -358*k + 2517084","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 195?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 302404 (base 8) to base 12\nAnswer: 49770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 3*f - f - 7, 4*v = 3*f - 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d**3 - d**3 + 0*d**3 + (2 - 3 - 1)*(d**3 + 4*d**2 - 4*d**2) + 4*d**3 - 4*d**3 + 5*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Suppose 0 = y - 2 - o. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(272) - (-1*(sqrt(272) + 1 + sqrt(272)) + sqrt(272))) + 2*(sqrt(272) - (sqrt(272) + -3)))**2 + -2.\nAnswer: 64*sqrt(17) + 1102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -5, -8.\nAnswer: -8, -5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1557 is divided by 45.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r + 12. Let a(l) = -2*l**2 - 17*l - 35. Let u be a(-2). Let g(s) = -5*s + 2*s - 8*s + 25 + 4*s. Give u*d(i) + 4*g(i).\nAnswer: -i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 750311 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: Calculate prob of sequence vvv when three letters picked without replacement from {k: 7, v: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -135, -192, -255, -318, -375, -420?\n\"Answer: t**3 - 9*t**2 - 37*t - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-180)\/(-135)*30\/(-4). What is the nearest to g in 2\/5, -4, 4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*m + 3*m - 5*w, 3*w = -2*m + 23. Solve 4*g = 3*o - 29, -m*o + 26 = -2*o - 4*g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 2\/13, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 14*y + 347. Give l(-28).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-1 - 1) + 1 + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 713*k**2 + k**3 + 1 - 711*k**2 + 7*k + 0*k to w + x*k**2 + v*k + j*k**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37693143, -75386291, -113079439, -150772587?\nAnswer: -188465735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -437, -2012, -4723, -8570, -13553, -19672?\n\"Answer: -568*b**2 + 129*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - -8.94. Let z = -11 + v. Let q(s) = -s - 3. Let h be q(-4). Which is the biggest value? (a) 3 (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -461177 - 627?\nAnswer: -461804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13407 or -13405?\nAnswer: -13405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 10316.21, 0.1, 5\/3 in ascending order.\nAnswer: 0.1, 5\/3, 10316.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, z: 4, t: 3, w: 1, d: 1}. Give prob of picking 1 d and 1 w.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - 6*a**2 + 11*a - 92. Let d(x) = -4*x**3 + 10*x**2 - 22*x + 184. Let j(s) = 3*d(s) + 5*l(s). Differentiate j(f) with respect to f.\nAnswer: -6*f**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 10*n + n - 27*n - 29*n in the form z*n + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4911 + -26.5001. Let n = -0.009 - a. Let z be ((-48)\/6)\/2 - (1 + -6). Which is bigger: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -24, -62, -112, -168?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9*b - 17. Let f be d(-4). Let a = f - -204. What are the prime factors of a?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 67. Let d = a - 34. Let r = -3.1 + d. Sort r, 5, -7 in ascending order.\nAnswer: -7, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(190)*2)\/(sqrt(80)\/(sqrt(8)*-4)) + (1 + -2*sqrt(304)*-4)**2 + 2.\nAnswer: 16*sqrt(19) + 19459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 6 = 14*w, 0 = -5*d + 3*w - 2064 + 2046 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131 + 131.00000345. Round j to 7 dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/21*(-6)\/16. Factor -1\/4*q + 0 - 1\/2*q**2 - v*q**3.\nAnswer: -q*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 485*t**2 + 491*t**2 - 4*t**3 + t**3 as r*t**2 + o + d*t**3 + g*t and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 = 6*b - 25. Suppose -38*s + 10 = -b*s. Suppose -h - m + 9 = -2*m, 0 = -3*m. Calculate the lowest common multiple of s and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2585485 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**(-1\/3)*v)\/v))\/v**(1\/2)*(v*v\/((((v**(1\/2)*v)\/v)\/v)\/v))\/v**3)\/(v**(1\/6)*v**(-2))**(8\/3) assuming v is positive.\nAnswer: v**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*d + 4*d - 100. What is the highest common factor of d and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 879168 and 342.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943999951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20713 - -52145. List the prime factors of w.\nAnswer: 2, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in 2, 0.6, 4\/3549, 3\/4, 0, -1\/9?\nAnswer: 4\/3549","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -1)*(2 + (-2580368)\/(-32)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 4*v**2 + 14*v + 38. Suppose -4*d - 39 = 3*t - d, -2*t + 37 = -5*d. Calculate c(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 25*b + 94. Let v be u(20). What is the closest to 4 in v, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004673713591 rounded to 7 decimal places?\nAnswer: -0.0000467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1 - 4) + 9)\/(8 - 324\/45). Let j = -1 - -1. Solve p - 4 = j, 0*f + x*p = -2*f + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(3 + 52\/(-16)). Factor 1\/4*d**2 + 0 + 1\/4*d**3 + g*d.\nAnswer: d**2*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 5. Let x(q) = 2*q**2 - 23*q + 44. Let a be x(9). Let y(i) = i - 3. Let v(r) = r. Let m(f) = a*v(f) + 3*y(f). Give 5*j(u) + 3*m(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 10) to base 16.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 14. Solve 2*a + o = -0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -13692*w + 13688*w - 4*b, b - 1 = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 12*b = -3*o + 2, -3 = -2*o - b. Let n(i) = 18*i - 1. Let d be n(o). Solve 0 = 10*g - 3*g + d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13220 (base 6) in base 5?\nAnswer: 31103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.046922599 + 56.952998401. Let g = a + -57. Round g to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7834.\nAnswer: 2, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 0)*(-3*n**2 + 12*n - 52*n + 12 - 11)*((4*n**2 - 4*n**2 + 2*n**2)*(0 + 1 - 2) + 10 - n**2 - 10).\nAnswer: -36*n**4 - 480*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174800 and 802180.\nAnswer: 369002800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 v, and 1 t when four letters picked without replacement from tvvvvvvvvhhvhthhh?\nAnswer: 108\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -5, -38, -95, -182, -305?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8339000 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 527.978349 + 1.38.\nAnswer: 529.358349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*m**3 + 2*m**2 + 6*m + 239 with respect to m.\nAnswer: -42*m**2 + 4*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*y = -13*y - 7*y - 348 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 divided by -6?\nAnswer: -485\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*l**3 + 4*l**3 + 0*l**3 + 0*l**3.\nAnswer: 45*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 - -107. Let j(m) = -3*m - 5. Let o(a) be the first derivative of -a**2 - 3*a - 4. Let s(y) = 5*j(y) - 7*o(y). Calculate s(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15828*o**3 + 1 - 4926*o**3 + o - 1.\nAnswer: -20754*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1468 divided by 95.\nAnswer: 1468\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 89*z + 61. Let f be p(-10). Let g = -370 - f. Round g to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 229 + -200. What is the remainder when 82 is divided by y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/5, 2, 97\/5, 2\/15, 0.3, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/(77\/26421)*(-19)\/9127. Let y = 2\/9127 - t. Find the common denominator of y and -45\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from qjnqrgi?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.06, -66 in ascending order.\nAnswer: -66, -1, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r - 1. Let l(w) = -4*w + 4*w - 7*w - 69 + 67. Let d(p) = -p - 1. Suppose -n + 9 = -2*v, n - 4*v = -0*n + 17. Let q be d(n). Give q*l(m) + 5*i(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idduplw. What is prob of sequence wil?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by -1443.\nAnswer: 50\/1443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 0.5 (c) -3 (d) 0.1 (e) -5439\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 175599, 348378, 521157, 693936, 866715?\n\"Answer: 172779*a + 2820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 42171*y - 28043718. What is z(665)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7835561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r = 3*k - 30, 594 = 4*r + 4*k + 586 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/4)\/7 + 75\/6. Let l be 0 + 4 + d\/4. Suppose 0 = -l*f + 2*f + 145. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 120887701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7655639 is divided by 786?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, 18, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1095 - 835 = 13*s. Let f(h) = -h**3 - 9*h**2 - h + 4. Let i be f(-9). Let l = i + -5. Calculate the lowest common multiple of l and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1873 - 2651. Let v = 1247 + l. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**2\/2 - 2. Let c(j) = 6*j - 2. Let t(f) = -c(f) + 2*z(f). Find the first derivative of t(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufuauffuuuuaf. What is prob of picking 1 u and 1 f?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2580 and 2580?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.00954 + -0.00954. Which is the nearest to 0.1? (a) j (b) -3\/4 (c) 0.3 (d) 0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*q**2 - 208*q + 1772*q**2 - 527*q wrt q?\nAnswer: 3620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11356 - 512?\nAnswer: 10544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + -299)\/(-2 + -12)*14\/4. Let w = -4 - -12. Calculate the highest common factor of d and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(7\/3)\/w*w**(-5))**(22\/9)\/((w**(-9\/5)*w)\/w*(w\/(w*w**(-2\/3)*w)*w)\/w*((w*w**(-1))\/w)**(-24)) assuming w is positive.\nAnswer: w**(-4162\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -8634b7?\nAnswer: 8634b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*d - 9. What are the prime factors of (2\/(-2))\/(d\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7038419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17868 + 3.\nAnswer: -17865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 33500 to the nearest one thousand.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 8:29 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472364 is divided by 4072.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2. Suppose x + 20 = 3*y - 3*x, 3*x = -3*y - 15. Let v(o) = y*o - o - o. Calculate v(w(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 d, and 1 c when four letters picked without replacement from xdddcrcdrddddxcvdrv?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + 240 + -565 + 390.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 * 389.\nAnswer: 1711.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -38731*g + 774562. Give x(20).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11328 + -7764. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005716553534 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 14, v: 4}. Give prob of picking 2 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 53 = -5*c, 0 = 85*p - 86*p - 2*c + 14. What is the greatest common divisor of 692 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4 (b) 2\/9 (c) 4\/5 (d) -4 (e) -2328032 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*p = 5*p - 348, -3*p = 0. Let n = x + -206. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46400 rounded to the nearest 1000?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -188 + 1694\/9. What is the second biggest value in d, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/20 - l**4\/2 + 11*l**3\/6 + 19*l**2\/2 + 8*l. What are the prime factors of n(-8)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 40, -18?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n**3 - 2. Let k(o) = 2*o**2. Let l(f) = 18*f**3 - 10*f**2 + 5. Let m(b) = 5*k(b) + l(b). What is -2*m(s) - 5*r(s)?\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzvvzvzv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -405 in 0.1, -4, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 907 = 227. Let p be 122\/8 + j\/(-28) + -7. Solve -5*m = -2*m - p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 4639*v**4\/4 - 10*v**3\/3 - 261*v + 608. What is the third derivative of f(u) wrt u?\nAnswer: 27834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(-7\/4)\/j*j)*j))\/(j*j**3\/j))**(-34) assuming j is positive.\nAnswer: j**(391\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a + 11. Let r(t) = -t**3 - 11*t**2 - 2. Calculate r(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100775?\nAnswer: 5, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 2 - 10 = 0. Suppose -21 = -t*i + 13. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 46, -23, 2 in decreasing order.\nAnswer: 46, 2, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 214140 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12551 is divided by 2584.\nAnswer: 2215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416245813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -0.4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -11*s**2. Let w(m) = -m**3 + 3*m**2 + 5*m - 2. Let g be w(4). Let a(c) = 0*c**2 + 4*c**g - 8*c**2 + 2*c**2. Determine x(a(b)).\nAnswer: -44*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -14*m**2 - 88*m - 392. Let u(l) = -108 - 153 - 9*l**2 - 10*l - 49*l. Let d(s) = 5*j(s) - 8*u(s). Factor d(x).\nAnswer: 2*(x + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v = 25. Solve -5*r = v*j + 15, j + 3*r - 12 = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10072657, -10072671, -10072687, -10072705, -10072725, -10072747?\n\"Answer: -p**2 - 11*p - 10072645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 2:03 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8668 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220077 and 20442708?\nAnswer: 183984372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3580, 3582, 3586, 3592, 3600, 3610, 3622?\nAnswer: 3636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5862326, 5862323, 5862320?\n\"Answer: -3*c + 5862329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 5\/4, -0.3, 0.03?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4)\/(v\/(v\/v**(-2\/3))*v*v))**15\/((v*v\/(v**1*v))**(9\/4))**49 assuming v is positive.\nAnswer: v**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j. Let z(x) = -7*x + 5. Let s(n) = 4*n - 3. Let c(p) = -5*s(p) - 3*z(p). Let l be 4*((-36)\/(-16))\/3. What is l*c(v) - 2*a(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + -58. Suppose 5*z + 51 = -4*v, 4*v + 2*z + 53 = 11. Let g = b - v. Let s(i) = -2*i**3 - 4*i**2 + 2*i + 3. Give s(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 3, -4 in increasing order.\nAnswer: -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 13, -4, -2.07, -2\/13, -0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n**3 - 6*n**2 + 6*n. Let c(m) = -30*m**3 - 16*m**2 + 18*m. Let s(o) = -3*c(o) + 8*u(o). Let w(d) = 3*d**3 - 2*d. What is 4*s(q) - 11*w(q)?\nAnswer: 7*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, h: 1, b: 2, e: 1, a: 1, z: 1}. What is prob of sequence abb?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1115109 and -23\/11.\nAnswer: 12266199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and 0.1103005.\nAnswer: -0.01323606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 - 22*w**3 + 2*w - 2*w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r + 70. What is s(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 8.0202. What is n rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618368359 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 686b - 5?\nAnswer: 6866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -0.03604\nAnswer: -0.23604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325 - 322 - 4*g**3 + 647.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 287579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/h**(3\/2))*(h*(h\/h**(-1\/9))\/h)\/h*h)\/((h*h**(-1\/2))\/(h*h**6*h))*(((h*h**(-4\/3))\/h)\/(h\/h**5))\/(h**(1\/4))**45 assuming h is positive.\nAnswer: h**(91\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0*2\/(-8))\/(-5). Solve 0*w - 2*w + 10 = h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 1 - (-2 - -1). Calculate the greatest common divisor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/3, 0.01, 0, 12, 0.065?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51190 bigger than 51191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32304339 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4992.683us?\nAnswer: 4992683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16040 - 16050. Let f = 1 + -1. Which is the nearest to -0.2? (a) p (b) f (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110042*s**3 + 116447*s**3 + 11842*s**3 + 205297*s**3.\nAnswer: 443628*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-20)*(12 + -22). Suppose 5*t - 24 = 46. Put 5, r, t in increasing order.\nAnswer: r, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17055, -17049, -17045, -17043, -17043?\nAnswer: -17045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -51. Suppose d = 4*f + c, -2*c - 9 = -f + 2. Calculate the highest common divisor of 28 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*w - 6220, -7*m - 3110 = -2*w - 6*m. List the prime factors of w.\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emmemmmemmegm. What is prob of sequence eg?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -10. Suppose k*s - 45 + 3 = 0. Solve -4*w + 16 = 2*o, -4*o - 2*w + s = -6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304.6968 less than -6?\nAnswer: -310.6968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -454730*0.1\nAnswer: -45473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - -46 - 55 - (-7 + -2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 52\/(-6)*(-570)\/(-924). Let j = -1\/77 - p. Put j, 4, -6, 2\/5 in descending order.\nAnswer: 4, j, 2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10597, -22028, -33459, -44890, -56321?\nAnswer: -67752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -9*b + 56. Is 13 a factor of q(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 9*b + 11. Let g = 21 + -18. Suppose -g*x + 2*x + 4 = 0. Calculate the remainder when i(9) is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3330711623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = -5*c + 170. Let m(d) = -d**3 - 2*d**2 - 4. Let i be m(-3). Suppose -i*h + c = -0*h. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*g - 7968 = -30991 for g.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 353*n**4 - 3*n**3 + 2*n**2 + 96 wrt n.\nAnswer: 8472*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**13*r\/((r**(-1\/17)\/r)\/r))**(-19) assuming r is positive.\nAnswer: r**(-5510\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 5*v**2 + 4*v - 8. Let q be a(-6). Let u(h) = 5 + 0*h**2 + 4*h**3 - 3*h**3 + 2*h + h**2 - 6*h**2. Determine u(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 231, 257, 283, 309, 335?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(14\/300)*-42. What is d rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 + -80. Let w = -148 - p. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + 4*d**4 + 0*d**4 + (-d**4 - 4*d**2 + 4*d**2)*(1 - 1 + 1) - 2 - 4*d**4 + 2 + 7*d**2 - 5*d**4 - 7*d**2.\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22091948*m**3 - 3*m**2 - 2020985*m + 6?\nAnswer: 132551688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-1339*p + 610*p + 613*p).\nAnswer: 232*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*257 - 2 - (-20 - -22).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -13. Let s = 2 + c. Solve 4 - 24 = s*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 254, -5, 38, -12, 65 in increasing order.\nAnswer: -12, -5, 4, 38, 65, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4ba30 (base 12) to base 11\nAnswer: 70786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - x. Let b(j) = -91*j**3 - 14*j. What is -b(m) + 14*u(m)?\nAnswer: 77*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 16. Let a be 4\/8*f*38. What is the tens digit of (4\/(-12))\/((-1)\/a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6741758 + 6741758 - 11*p - 3*p - 2*p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**2 + 7303391*t. Let b(j) = j**2. Calculate a(b(m)).\nAnswer: 3*m**4 + 7303391*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**7\/840 + z**6\/40 - z**5\/15 - z**4\/24 + z**3\/6 - 2*z**2. Let h(y) be the first derivative of w(y). Give h(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 2*f**2 + 12*f**2 - 14*f**2 to o*f**2 + p + k*f and give p.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -9.5\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-9)*-4*(-1081)\/(-6). Let v = g + 761555\/792. Find the common denominator of -3\/20 and v.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (0 - -4) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 4\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4558 - -1599. Let x = s - -47359\/16. Find the common denominator of 145\/12 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from oryox?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b**2 - 37*b**2 + 15*b**2 + 9*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3487, 118, -69 in increasing order.\nAnswer: -69, 118, 3487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (0 - (2 + -1)) - (-85 - (62 - 57))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16786 and 462?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*i**2 - 47721482178*i + 47721482178*i.\nAnswer: 23*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 83*m + 15*m - 855 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 4*d**2 - 3. Let q be y(-4). Let n = -3 + 6. Let x = n - -1. Sort q, 5, x in descending order.\nAnswer: 5, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lliiililllllilll. What is prob of sequence illl?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 8*z - 3. Let d be n(-9). Let s be (0 - d) + -1 - 2. Let t be 4 + ((-1)\/3 - 22\/33). Solve -s = -t*f + 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 451241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*n + 4*n + 3*n)*(-3*n + 5*n - 4*n) + 13*n**2 + 73*n**2 - 27*n**2 + (-119 + 119 + n)*(2*n + 0*n - n) as j*n**2 + d + w*n and give j.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2*(sqrt(3) + sqrt(9)\/sqrt(3)) - (-1 + sqrt(3))*-6) + 5)**2.\nAnswer: -80*sqrt(3) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -4)\/(((-1)\/(-21))\/1). Let o = 10 - k. Solve -t - 4*l = -6*t - o, 5*t + 2*l = -7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6725 + -349729\/52. Calculate the common denominator of 4*11\/1320*12*655\/(-12) and d.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1223336 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 147 + 4?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*t - 2)*(7 - 16 - 19)*(-4*t - 2*t + 5*t)*(t + 2*t - t).\nAnswer: -168*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggtgtggggg. Give prob of sequence tt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5159501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**8\/504 - 2*z**7\/315 + z**6\/90 + 2*z**5\/45 - z**4\/36 - 2*z**3\/9 - 15*z**2. Let t(v) = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1391, 2759, 4105, 5429?\n\"Answer: -11*c**2 + 1401*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 8*j + 2)*(j**2 - 1 + 4*j**2 - 9*j**2) as u*j**2 + m*j + f + k*j**3 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25548759 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16288 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**2\/4 - 3*x + 27\/4 = 0.\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -64 - (-126 + 42) - 53\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -87 + 2*s + 27 + 21 + 14*s + 31. Let b(c) = -5*c + 3. Calculate -8*b(m) - 3*k(m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*l = -30. Suppose 20*c**3 - 23*c**l + 10*c**4 - 15*c + 39*c**5 - 21*c**5 - 10*c**2 = 0. Calculate c.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 15 = -35, -5*l - 15 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n = 2*r + 15, -15 = r - 4*n. What is the lowest common multiple of r and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 8\/105 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**5 - 3*z**5 + z**5 + (-3*z**2 + 5*z**2 - 3*z**2)*(5*z + 2*z**3 - 5*z) + 1 - 1 - 2*z**5 - 2*z**2 - 710*z**4 + 710*z**4 + 4*z**5.\nAnswer: z**5 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -7534267 and -0.105.\nAnswer: -7534267.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 133*t - 3*t = 0. Solve 90*b + 18 = 94*b + 2*h, t = 5*b + 2*h - 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26312, -26292, -26274, -26258, -26244?\n\"Answer: -w**2 + 23*w - 26334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 729 + -726.01. Let b = 3.69 + d. What is b rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 12*v**2 + 12*v - 8. What is the units digit of w(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -y + 2*f + 3, 0 = 4*y + 3*f - 39. Let q(r) = r + 12 - 2*r + 8*r - 6. Does 16 divide q(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001212 + -110110100?\nAnswer: -111112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3277165010?\nAnswer: 2, 5, 7, 29, 1614367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 8 + 1. Suppose 3*y = -5*f + 18 + q, -4*f = -12. Differentiate r**2 - 3 + 0*r**2 - r**y + 2*r**4 with respect to r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207661162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 890 - -2313. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1112, 2909, 5904, 10097, 15488, 22077, 29864?\n\"Answer: 599*d**2 + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(8\/5))**(14\/3)*j**(-23)\/j**(-5) assuming j is positive.\nAnswer: j**(-158\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*x**6 + 540*x**4 - 37*x**3 - 1252873*x**2 - 6*x - 2.\nAnswer: -6000*x**3 + 12960*x - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 48*s - 48. Let i be g(1). Solve i = -o + 4*d, 3*d - 4*d + 1 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (282\/(-235))\/((1 + 18\/(-20))*4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 652881529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**4\/12 - 2491*g - 2. Let u(n) = 42*n**3 + 24*n**2. What is -u(v) - 24*y(v)?\nAnswer: -42*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1732078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 312606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -921 * -12.6.\nAnswer: 11604.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 298443966 or 298443968?\nAnswer: 298443968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f = 532 - 714 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -584 in 0.43, -5, -1.3, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8731499*a**2*m**2 - a**2*m + 275*a**2 + a*m**2 - 2*a*m + 7382*a wrt m?\nAnswer: -17462998*a**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**7\/840 - r**6\/480 - r**5\/240 + r**4\/96 + 4*r**2. Let l(u) = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377624204 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 + 15 - 15 + (-2*l + 2*l + l)*(48*l - 48*l + 33 - 2*l**2) as p*l + n*l**2 + t + h*l**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44 or 5\/56?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 127 = -5*w + 155, 3*w = 5*p + 9 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**4\/12 + 25*o**3\/9 - 4*o**2 + 3228. Factor x(v).\nAnswer: -v*(v - 24)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58174 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 12 + 10*h**2 - 12*h - 3*h - 2*h**2 as m*h**2 + d + w*h and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 3720000 = 3*q. Suppose -6*s = -s - q. Suppose 7*k = 4*k - s. What is k rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81301712241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/4 of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 1:44 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*21\/84\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15871 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7574*s - 7580*s + 15147*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1 + 0)\/(9\/((-360)\/(-4))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - o**2 + 2. Let r = 2 + -2. Let h be q(r). Let y(l) = 3*l + h - 2. Let k(g) = 2*g. Determine k(y(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2 + 6*h - 7. Let v be x(5). Let k = -26 - v. Calculate the remainder when k is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**4\/4 + 798*q**3 + 25713*q**2\/4 + 8061*q\/2 - 11256 = 0?\nAnswer: -7, -2, 1, 1072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00048380198 rounded to 7 decimal places?\nAnswer: -0.0004838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -4\/9, 1, 5\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215 (base 9) to base 16.\nAnswer: b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/15 + (-514)\/(-6). Let b be y\/(-1 - (3 + -5)). Suppose -5*g - 20 = -b. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -2.9. Let k = -0.23 + -0.02. Let x = k + 4.25. What is the closest to 1\/2 in o, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 9*s**2 - 2*s - 13. Let d be w(-9). Let i(j) = 9*j + 5. Let x = -6 + 0. Let m(z) = 10*z + 6. Give d*m(l) + x*i(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631*v + 632*v = 3*o - 8, -4*v - 3*o = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 7*x + 10. Let k be v(-6). Let r(f) = f**2 + 8*f - 14. Is 27 a factor of r(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d**2 + 3*d**2 + (1 - 1 - 2*d)*(0*d - 2*d + d) + d**2 - 5*d**2 + d**2)*(416*d**2 + 6840*d**3 + 422*d**2 - 838*d**2).\nAnswer: 6840*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-4)*96\/(-12)*1\/1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21228 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frry when four letters picked without replacement from yrfryryyy.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (416\/3432)\/((-22)\/363).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-1))\/((-830)\/(-280) - 3). Let h = r - -82. Put -6, 5, h in descending order.\nAnswer: 5, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3924 * -63.\nAnswer: -247212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 11 - 3)*(2 - 1 + 2)*(-5*z**2 - 2*z**2 + 3*z**2).\nAnswer: 144*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + -10110010000?\nAnswer: -10110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1136*3627.\nAnswer: 4120272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -917.09996 to the nearest ten.\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 84*c**3 - 7*c**2 - 37*c - 144. Let y be i(-5). Round y to the nearest one hundred.\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**3 - 24*x**2 + 50*x + 38. Let r be i(9). Put -18, r, -5, 3 in descending order.\nAnswer: 3, r, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -176697.\nAnswer: 88348.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 40197.63l?\nAnswer: 40197630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -43. What are the prime factors of (12\/9 + q)*(-798)\/4?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1216040 + 2?\nAnswer: 1216042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45*c**2*p**2 + 249*c**2 + 2*p wrt p?\nAnswer: 90*c**2*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13838, 14134, 14644, 15380, 16354, 17578, 19064, 20824?\n\"Answer: 2*n**3 + 95*n**2 - 3*n + 13744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2)*2*0. Suppose 2*k + 4*h - 56 = c, -4*h = -h + 6. What is the tens digit of k\/(-8) - 53\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 477.94 - 478. Let h = -0.065 + 0.05. Let b = a - h. What is b rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4982 and 212.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -709.59227 rounded to zero dps?\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 3\/2, -3.9, -4.34?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198 divided by 880570.\nAnswer: 99\/440285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 8 = -2*j + 18, 2*j - 12 = p. Let u be (1 + -3 + -3)*p. Round u to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8930502 divided by 9?\nAnswer: 992278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-98)*(398 + -391)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12551.\nAnswer: 7, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 557, 1250, 2215, 3452, 4961, 6742?\nAnswer: 8795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8096 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - x**4 - 5*x**4 + (-x**3 + x**3 - x**3)*(-4*x - x - 7*x).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:14 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 1\/24*q**4 - 2*q + 16 + 3\/8*q**2 - 7\/24*q**3. Factor r(s).\nAnswer: (s - 3)*(2*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 5924.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w + 1. Let d be c(-2). Suppose -6*i - 11*i = -221. What is the greatest common factor of i and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12745.6 millennia in months?\nAnswer: 152947200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 860 + -820. Let k be (9 - 390\/o)*(-4 + 0). Solve u + k*u - 1 = 3*q, -3*q + 3*u = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -659 + 657. Is 2\/51 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 12*f. Let w = -1 + 1. Suppose f = h - w*h - 51. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - x - 1 - 1)*(4*x**2 + 2*x**3 - 4*x**2).\nAnswer: -2*x**4 + 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/21*12)\/(15\/70). Suppose w - 5 = -1. Solve g - 4*g + 19 = 5*q, -w*q = -2*g - v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-1 - -2 - 1). Suppose -t + 4*t + 15 = g. Let w = 0 - t. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjbpppbbpbxpppjpppbj. Give prob of picking 1 j and 1 p.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*l + 4 + 1 = 0, -3*r + 5*l = -31. Suppose 0 = -0*v + 2*v + 6. Let i be v\/15*(1 - 4). What is the second smallest value in r, -1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + ((0 - -5) + -4 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 2. Let l be o(-2). Suppose -2 - 4 = -3*n. Suppose -2*t + 2*w - 3 = 1, 4*w = n*t - 2. Sort t, 3, l.\nAnswer: t, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*p = -415 + 124 + 181. Solve -r + 9 = -3*f, 16 - 32 = -p*r + 5*f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/7)*b*b\/(b**(-3\/5)\/b) assuming b is positive.\nAnswer: b**(136\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (2 + -1 - 2). Let z(u) = 4*u - 24. Let n = 3 - 8. Let p(f) = -f + 5. Let m(l) = n*z(l) - 24*p(l). Determine m(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -93 (c) 0.2 (d) 2\/5 (e) -15 (f) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**2 + 131*c - 5. Let r(h) = 37*h**2 - 917*h + 34. Determine -15*l(s) - 2*r(s).\nAnswer: s**2 - 131*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((64\/(-24))\/((-320)\/(-48)))\/(8\/(-260)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 21.6. What is the second biggest value in 4\/5, 3\/17, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 7:42 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -10 + 50\/6. Sort -120, -0.3, 5, i.\nAnswer: -120, i, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*k - 440*k - 330*k + 248*k - 11640 = 0 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -154, -1, 5, -9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 55 - 67370*d + 67362*d.\nAnswer: -8*d - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7999*d**2 - 5*d + 14. Let m(n) = -7999*n**2 - 4*n + 15. Let i(r) = -3*l(r) + 2*m(r). Let x be i(4). What is x rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 924 and 385.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1590030000 = -27*f + 14*f. Round f to the nearest 1000000.\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1979*g*s**4 + 2*g*s**2 - g*s - 5*s**4 - 15*s**2 + 1905 wrt s.\nAnswer: -47496*g*s - 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 647*n - 25. Is r(-30) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*d - 3262185, -3*d - 420729 - 884145 = -2*m. Suppose m = -h - 566563. Round h to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2147.991532 + -2148. Round x to 4 decimal places.\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 6 = -2*p, p + 2*p = 2*l + 8. Let m(z) = -9*z**l + 0*z**3 + 2*z**3 + 6*z - z**3 + 2*z**2 + 5. What are the prime factors of m(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75310805*c**3 + 1122986755*c**2 + 99981880*c + 2218800.\nAnswer: -5*(c - 15)*(3881*c + 172)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*p = -21, 3*a + a - 3*p - 28 = 0. Let c(d) = -d**2 + 6*d + 1. Let q be c(6). Let v be 2*q\/a + 9\/(-7). Is -32 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-18)*-2*(-12)\/64*164?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 213 (base 8) to base 4\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8 = j, -b - 1 = j. Suppose 4*i - 3 = -3*g + 11, -2*i = -4*g - 18. Sort -2, b, i in ascending order.\nAnswer: b, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -48*(2\/9 - (-3297)\/(-378))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(7\/6)\/m*m*m*m*m\/(m*m*(m*m*m**(2\/67)\/m)\/m*m)*m*m*m*(m**3)**37)**(-8\/9) assuming m is positive.\nAnswer: m**(-185140\/1809)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + 31*m**2 - 36*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g = -x - 5, 4*x = -3*g - 20. Suppose g = 2*m + 4*u, 0 = -2*m + 5*u - 3 - 6. Let q be (9 + 1 + m)\/((-6)\/(-9)). Solve q + 4 = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 + 1024*x**2 + 12*x - 642. Let l(b) = -2*b**3 + 1024*b**2 + 16*b - 641. Let w(k) = -4*f(k) + 3*l(k). Find the first derivative of w(a) wrt a.\nAnswer: 6*a**2 - 2048*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*x + 4. Let n be (-8)\/(-10)*x\/(-8). Which is bigger: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -781 - -792. Solve q*w = 9*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -37*y + 152. Let v be u(4). Solve -n - 3*n - 12 = -v*m, -35 = 5*m + 5*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 + -8 + 4 + -1. What is the units digit of (23\/p)\/(13\/26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkl when three letters picked without replacement from {n: 1, l: 16, k: 1}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4183 = -117*b - 790. Solve 0 = -b*l - 16 + 74 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t + t**3 - 2*t**3 + t**3 + 5*t**5 wrt t.\nAnswer: 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2608.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egrnrrrng. Give prob of sequence en.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111200021 (base 3) to base 16.\nAnswer: 73d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c - 30. What are the prime factors of y(17)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 2)*(133\/(-14) - -12).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*d + 437 = -443 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-387 - -389)*(-59474)\/(-4).\nAnswer: 131, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4598) - sqrt(4598)*2) + sqrt(38))\/((2*sqrt(6))\/sqrt(3)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -226816, -226817, -226818, -226819, -226820, -226821?\n\"Answer: -n - 226815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(sqrt(78) + sqrt(78)*-3 - sqrt(78)) + sqrt(78) - sqrt(78)) + sqrt(78))\/sqrt(6))**2.\nAnswer: 3757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31523 + -31526. Which is the third biggest value? (a) 6 (b) 2.49 (c) h (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (sqrt(175) + sqrt(175) + 1)) + -5 + -3 + -2*((-1*sqrt(175) - sqrt(175)) + 5))**2 + -1.\nAnswer: -570*sqrt(7) + 1935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 + 291 - 8*h**3 + 4*h**2 - 291.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 1178 = -0*b + 64*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 12*t**2 + 5*t - 5. Let l(i) = 5*i**2 + 15*i + 1. Let d be l(-3). Let y be m(d). Solve y*r + 50 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 6*l**2 - l + 2. Let x(g) = g**3 + g**2 + g - 1. What is c(d) + 2*x(d)?\nAnswer: 3*d**3 + 8*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 869550 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -u, -4*v + 21 + 43 = 4*u. Suppose 2*r - 2*m = -u, 0*r + 2*r + 20 = 4*m. Let h be (-2)\/19*(r - -1). Put h, -0.3, 1 in increasing order.\nAnswer: -0.3, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5448 rounded to 1 decimal place?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 48 = 5*s, 18*s + 38 = 22*s - 2*w. Suppose -6*b + 10560 = s*b. Is 22 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, u: 4, p: 2}. Give prob of sequence pp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 0*c + 7*c)*(1 - 4 + 2)*(0 + 1 + 1)*(0 + 1 + 23) as z*c + g and give z.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/44 - (-1 + 18\/8). Is 3\/124 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2852, -0.281, -2\/9, -4\/9 in decreasing order.\nAnswer: -2\/9, -0.281, -0.2852, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c - 6. Let d be t(1). Let q be (d\/(-15))\/(4\/(-1884)). Let w = q - -601. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237181391 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-5) + 34\/20. Which is the nearest to 0.2? (a) -3\/4 (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -21.5. Let q = 28 + -24. What is the second smallest value in q, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**2 - 357*f**3 + f + 1 + 299*f**3 - 4*f**2 - 3*f**3 - 5*f + 5*f + (f + 4 - 4)*(-2 - 2*f**2 + 2) in the form h*f + v*f**2 + p + j*f**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 + -1.3. Let g = 7.8 + -16.5. Let f = 9.7 + g. Sort 2\/19, c, f, -0.4 in increasing order.\nAnswer: -0.4, c, 2\/19, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97290640 divided by 2432266?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -57359?\nAnswer: 1\/57359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 2. Let h(p) = -3*p + 9. Let z(c) = c**2 + 5*c - 4. Let y be z(-5). Let n(s) = y*h(s) - 18*l(s). Let u(g) = 2*g. Calculate u(n(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 90282, 180579, 270876, 361173, 451470, 541767?\n\"Answer: 90297*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((20\/(-9150)*5)\/(114\/9)). Is g less than or equal to -1160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-2)*(5 - 51\/15). Suppose 2*j = 34 - 10. Let i(x) = -4 + 9 + w*x - j. Let q(h) = -6*h + 10. Determine 7*i(g) + 5*q(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -506077\/90 + 5623. What is the common denominator of o and -33\/70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*((5*(2 + -2*sqrt(832)))**2 + (3*sqrt(832)*2 - (1*sqrt(832) + 0)**2)).\nAnswer: -9312*sqrt(13) + 494808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 19*j**3 - 725*j**2 + 108*j + 91. Calculate a(38).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 16*z - 2. Let x(h) = -2103*h + 1984. Let i(r) = 5*n(r) + x(r). What is the first derivative of i(k) wrt k?\nAnswer: -2023","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f - 6*f + 0*f + 2*f to the form m + k*f and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 1:35 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8460*b**3 - 2630 + 47780*b**2 + 60*b**4 + 10630 + 37600*b + 345*b**4.\nAnswer: 5*(b + 10)**2*(9*b + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 5 (c) -0.17 (d) -3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + j - 14 = 0, -t - 41*j + 37*j + 35 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701 is divided by 10\/(-9 + (-2051)\/(-224))?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.07 > -2.1106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + (-7 - -8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9077888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6373, -12437, -18185, -23617, -28733, -33533?\nAnswer: -38017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -62*m**2 + 7*m**2 + 55 + 4*m**3 + 155*m**3 + 31*m**3. Let f(n) = 7*n**3 - 2*n**2 + 2. Let u = 80 + -25. Give u*f(x) - 2*o(x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -583 + 6429\/11. Find u such that t + 12\/11*u**2 + 24\/11*u + 2\/11*u**3 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -226*s**2. Let l(p) = -16*p**2. Calculate l(j(k)).\nAnswer: -817216*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 461, 743, 1067, 1439, 1865, 2351?\nAnswer: 2903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 10*y. What is the closest to 3.1 in 3, y, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 3*f + f)*(f**2 + 8*f**2 - 3*f**2)*(f**2 + 0 + 0).\nAnswer: -30*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5592 - 5572. Calculate the remainder when 14077 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 292 - 1\/2*x**2 + 12*x. Calculate z(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692351.22 times 4?\nAnswer: 2769404.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2 - 12*d**2 + 2. Let n(p) be the first derivative of -2\/3*p**3 - 79 + 0*p + 0*p**2. Give h(n(j)).\nAnswer: -48*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u*z**5 + 51*u*z**4 + 2*u*z**2 - 2*u*z + 117*z wrt z?\nAnswer: 40*u*z**3 + 612*u*z**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 650719913?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61678118, 61678117, 61678116, 61678115, 61678114?\n\"Answer: -f + 61678119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.183 - 21.383. Let t = -66 - -93. Let x = t + c. What is x rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130875 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: Sort -111, 18, -5 in ascending order.\nAnswer: -111, -5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Let b be (-63)\/(-4) + o\/4. Let s(i) = i**2 + 4*i - 4. Let w be s(2). What is the greatest common divisor of w and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 0.3 (c) -0.4 (d) -12574\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-81)*(-45)\/15.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 6*o. Suppose -3*h = -o - 3. Let m be 4 - (h + 1 + -3). Solve -l + 1 = -3*p, -3*p - m = -5*l - 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*l + 3)*(-l**3 - 4*l**3 + l**3)*(3 - 2 - 4).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - 1 + 1 + (-1 + c + 1)*(-c**2 + 3*c**2 - c**2) + 3578*c**2 - 1192*c**2 - 1193*c**2 - 1193*c**2 - 23541*c**3.\nAnswer: -23539*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5626749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 46*d**2 - 274*d + 16. Let n be m(-39). Suppose -l - 2 = 3*x - 16, 0 = 4*x - 16. Let q be 11\/n + l\/(-10). Sort 3, 8, q in ascending order.\nAnswer: q, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 9. Let n be x(0). Let d(u) = -u**3 + 25*u**2 + 23*u + 86. Let t be d(26). Is t greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 - 33*o - 2. Let p be k(18). Calculate the highest common divisor of 364 and p.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243253.1 years to millennia.\nAnswer: 243.2531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*j = -1181 - 14013. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*l - p - 20, -1 = -2*l - p. Suppose l*o + 21 = 87. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -496, 44, 950, 2222, 3860, 5864, 8234?\nAnswer: 10970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1080)\/189)\/8*12\/(-10)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 7*j = -67 + 131, -5*m + j + 5 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 2:09 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69101 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25, 24, 21, 22, 33?\n\"Answer: h**3 - 7*h**2 + 13*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 320 and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1242 divided by -69\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (32 - (38 - 32)) + -24 + (0 - 1) + -37\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.49655 to two decimal places.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16b0 (base 14) in base 13?\nAnswer: -1b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 109172 to the power of 1\/2, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2053684598 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3*h**2 - 2 + (-3*h - 2*h + 4*h)*(2*h - h - 2*h))*(-129 - 15*h + 129) to t*h**3 + m*h**2 + s*h + q and give t.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 92, 227, 468, 869, 1484, 2367?\n\"Answer: 9*h**3 - h**2 + 75*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -9*m**2 + 5*m + 7*m**2 - 5*m. Let q(j) = 13*j + 22. Let f(l) = -2. Let x(b) = -22*f(b) - 2*q(b). What is p(x(z))?\nAnswer: -1352*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471098 is divided by 350.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32 or 5176\/75?\nAnswer: 5176\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u + 12*u - u**2 + u**4 - 3*u as n*u**4 + v*u**3 + z*u**2 + t + w*u and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 7\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 - -9)*(-1 - 5). Let d = 6 + o. What is the units digit of -3 + (-1 - (d + -7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11698506, -0.3, 1, 2\/13, 4 in decreasing order.\nAnswer: 11698506, 4, 1, 2\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-12)*(-6)\/(-4)*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 4. Let r = w + -2. Suppose -2*o + 25 = r*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3929b + 10?\nAnswer: 392ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**3 - c**2 - 9*c - 7. Let b be d(-4). Is 392698\/b + 6\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*o + 2 = 0, 2*v - 5*o - 7 + 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + 87*x + 6*x**3 + 126 + 3*x**3 - 100*x + 20*x**3.\nAnswer: 29*x**3 - 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -905 - -908. Let g(a) be the second derivative of -11*a + 1\/3*a**y + 0 + 0*a**2. Let s(d) = -d**2. What is s(g(x))?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**7\/120 - d**4\/6 - 7*d**3\/6 + 4*d. Let u(b) be the second derivative of w(b). Differentiate u(g) wrt g.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88886246.\nAnswer: 2, 43, 359, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(3\/(-11374)) - (-7 + 12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kee when three letters picked without replacement from kemkccmceeec?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -475028384 by -118757096.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2 + 4*x = 0 for x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 21 + 14 + 1 + 0 + 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-19)\/a)*(a\/(a**(6\/5)\/a))\/a*a*(((a**(8\/7)\/a)\/a*a)\/a)\/(a\/(a**(-15)\/a)) assuming a is positive.\nAnswer: a**(138\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1839 - -4278. Suppose -14*w + m = -4*n - 9*w, 2*n + 3*w = -1225. Round n to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1380 and 225978?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 5*l + 3 = 11, 4*l + 4 = -4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 1c?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u = 0. Suppose 0 = 2*v + 108 + 30. Let c be v\/135 + 8\/20. Is c != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/5)*u**(4\/7))**(-2\/53) assuming u is positive.\nAnswer: u**(-124\/1855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*i + 5*o - 5, 0 = -3*i - 2*o + 2. Suppose i = 3*p + 3, -3053121 = -4*a - p + 105346878. What is a rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28584185?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**3 - 2*b**3 + 12 - 3*b - 12 wrt b.\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43531005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 45965 + 113035. Round f to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 42. Suppose -t = -3*a - 2*o, -3*a + 3*o = -14 - 22. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2510, -5799, -9866, -14711, -20334, -26735?\n\"Answer: -389*f**2 - 2122*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68302 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a + 3*a + 16 + 2*a**2 - 22 - a**2. List the prime factors of c(-5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 5. Let w be g(0). Let z be 1 - 4 - (3 - 7). Let k be (z\/5)\/((-66)\/(-60)). Which is the smallest value? (a) k (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 17*c**3 + 78*c**2 + 661*c + 2473. What is n(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/2)*l*l**(-11)*l*(l*l**(-4\/3))\/l*l*l\/l**(-8\/5))**34 assuming l is positive.\nAnswer: l**(-3179\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**26*h)\/h*h*h\/(h\/(h*h**(-4))))**25)**(-6\/5) assuming h is positive.\nAnswer: h**(-750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/574 and -19\/672?\nAnswer: 27552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (141\/3995)\/(-5 - (-198)\/45)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.18, -1122\/13, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b - 33. Calculate y(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s - 4*s - 186*s = 10*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89*r**5 + 81*r + 2.\nAnswer: 1780*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 12 - (14 + (-24)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3395*b**4\/4 + 275005*b**3\/4 + 559365*b**2\/4 + 280135*b\/4 - 415\/2 = 0?\nAnswer: -1, 2\/679, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*l**2 - 27*l**2 - 26*l**2 - 2*l - 50 to the form f + r*l + z*l**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**2\/2 + 6*u + 21. Let w be v(1). Let f be w - 2\/(-3)*(-18)\/6. Solve -2*q = b - q - 5, -4*b = f*q - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13220*c*w**3 + 37*w**3 + w**2 - 80*w with respect to c.\nAnswer: 13220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -4*w + 120. Let f(h) = 14*h**4 + 8*h**3 - 14*h**2 - 8*h + 12. Let a(g) = -g**4 - g**3 + g**2 + g - 1. Let s(x) = w*a(x) + f(x). Factor s(b).\nAnswer: 2*b*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 6*r + 3. Let m be k(5). Let g = m + 11. Does 11 divide (-17)\/(15\/g - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 10 = 5*b. Suppose b*h - 1 = 1. What are the prime factors of (h - (-45 + -2))*4\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*p = p + 14, -4*x + 5*p = -28. Let o(i) = 5*i - 4. Does 7 divide o(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1075 + 1556. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 536251 = 55*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -232*w**2 - 393*w?\nAnswer: -464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -106, -39, -4, 5, -67, -1.\nAnswer: -106, -67, -39, -7, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 11. Let f(t) = 3*t - 12. Let h be (-23)\/69 - 16\/6. Let a(x) = h*f(x) + 4*u(x). Give a(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*2\/108 + (-530)\/3180.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 756 + -757. Let f = -6 + 5.9. What is the second smallest value in -4, f, w, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (66\/(-10))\/((-1)\/15). What is the highest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 36*k - 35*k + 14 = 0, -4*q - 6*k = 44 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - q - 2. Let g be a(0). Let n(k) = -11*k - 2. Does 8 divide n(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**8\/168 + l**4\/3 - 8*l**2. What is the second derivative of y(u) wrt u?\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0107 and -3215.\nAnswer: -34.4005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226, 443, 660?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 - 33*p**4 - 414*p**3 - 2430*p**2 - 6561*p - 6561.\nAnswer: -(p + 3)**2*(p + 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 5*f - 45, -5*f + 17 + 8 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32475058 a multiple of 1342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 + n**2 + 2 + 10*n**4 - 11*n**4 to q + h*n + j*n**2 + c*n**4 + w*n**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(684)*-4 + -5)**2.\nAnswer: -720*sqrt(19) + 98521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5131199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:09 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 47.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2992?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(91\/(-21)) - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 76 (b) -0.5 (c) 0.2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 10 - 14 - (1 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**3 + 359*h**2 + 270*h + 285. Give y(-89).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by (2 - 12\/1)\/(33\/(-33))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 396514179470 and -10?\nAnswer: 396514179480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -58, 3, 2020, -0.4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 7 - 67 = 0. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2)*u*(u\/(u**5\/u))\/u*u)\/(u*u\/(u\/((u*u*u**(-11))\/u)*u))**(3\/4) assuming u is positive.\nAnswer: u**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**2)\/b)\/(b\/(b*b**(-1)))*(b**(-1))**(-21)*(b**(-1\/4)*b**(-1\/2)\/b)\/(b**(-3)*b*b*b\/(((b**(-3\/2)\/b*b)\/b)\/b)) assuming b is positive.\nAnswer: b**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 11*j**2 + 0*j**2 + 110 - 10*j - 118. Let w be d(-1). What is the greatest common divisor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1. Let o(c) = 8*c**2 - 3 + c**2 + 5 + c + a. Let n be o(4). Round n to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 642, 2641, 5964, 10605, 16558, 23817, 32376, 42229?\n\"Answer: -c**3 + 668*c**2 + 2*c - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 10:03 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 860*g + 4*g**2 + 39*g + 501*g + 98000.\nAnswer: 5*(g + 140)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 10*x**2 + 6*x + 21. Give r(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(2*i - 4*i + 0*i)*(-1429 + 812 + 755).\nAnswer: -276*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-156351542)\/32*(-5 + 4). Let m = k - 4878165. Let o = m + -7825. Calculate the common denominator of o and 63\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from iisiiiissiissiiiis.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(88) + sqrt(88)*-2)*-2)\/sqrt(8)*-2)**2.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*g + 304*g - 27970 = -582*g + 19594 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/23 (b) -17 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 2:17 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 = -2*a. Let d = a + -3. Is d greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17142985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvjvvjvvvvvvvvvvvvvv. What is prob of sequence jv?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 852 and 852 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -m + 1561, -3 = 2*m + 3. Let a(u) = -2*u**3 + 7*u**2 - 20*u + 145. Let v be a(6). Let f = w + v. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19\/5 + (-10)\/(-50) + -1. Sort -4, 2, f, 1 in ascending order.\nAnswer: -4, 1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 839, 1679, 2519, 3359?\nAnswer: 4199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and 11.55.\nAnswer: -254.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017408 rounded to six decimal places?\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = a + 1. Let h = 12 - a. Let y(l) = -l - 2*l + h*l + 2*l**2. Let w(s) = 2*s. Give w(y(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*h*j**2*l**2 - 49*h*l**2 + 203*j**2*l**2 + j**2 wrt h.\nAnswer: 11*j**2*l**2 - 49*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 53 = -5*g. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*t = 227*t + 135 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 966577940*c + 788397041?\nAnswer: 966577940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n**2 + 4*n + 61. Let r(f) = 6*f**2 - 3*f - 54. What is 5*r(d) + 4*t(d)?\nAnswer: 2*d**2 + d - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1008.2 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -323121201 (base 5) to base 2\nAnswer: -101010000110011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.464268 rounded to 2 dps?\nAnswer: 26.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874687165.\nAnswer: 5, 11, 31, 513013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000011011110 + -111?\nAnswer: 100000011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/6)\/((-3)\/99). Suppose 0*x - b = -5*x. Calculate the highest common factor of 22 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d + 41. Let n be t(12). Let q = -1 + n. Suppose q*w = 130 + 6. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 528 and 114576.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 273*c**4*q - 233*c*q + c wrt c.\nAnswer: 3276*c**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 t when three letters picked without replacement from {c: 2, t: 2, a: 8}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from lillfivl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47.1 - 46. Which is bigger: g or -2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yttggtryrrytry. Give prob of picking 2 t and 1 y.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - k + 4*k)*(9*k - 2*k**3 - 9*k + (0*k**3 + k**3 + 0*k**3)*(2 - 8 + 0))*(-1 + 0 + 2) in the form t + b*k**4 + n*k + u*k**3 + d*k**2 and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.3 + -7.5. Suppose -2*g - 3*l - 1 = 0, 2 = 2*g + 2*l - 0*l. What is the nearest to t in g, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w + 4. Let s(v) be the first derivative of -v**2\/2 + 3*v + 32. Let k(a) = 4*s(a) - 3*z(a). Let y(b) = -28*b**2. Give y(k(h)).\nAnswer: -112*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 11)*-10*(-2)\/(-20). Let o be -2*5\/(-10) - 2. Sort o, -3, d, 3.\nAnswer: -3, o, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -3*y + 25, -5*y - 1046*g + 1043*g + 36 + 24 = 0 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 + 1 + 6*t)*(-8*t - 4*t + 6*t) to the form b*t + z + d*t**2 and give b.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, a: 4, k: 5}. What is prob of sequence ab?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/55 and -7\/1672?\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 105932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert db (base 15) to base 8.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 54 = -5*s - 39, -13 = -3*s + 2*d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -705 = -705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380103136.\nAnswer: 2, 7, 17, 99817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 386 and 138.\nAnswer: 26634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**3 + 7*k**2 - 9*k**3 - 2*k**2 - 5*k**2.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -26*i**2 - 1. Let n be p(1). Let g = -29 - n. Let a(w) = -w**3 + 3*w - 1. Let b be a(2). Is g not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 198?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 10866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 271.1 - 270.9. Let k be 1\/(-2) - 9\/(-6). Which is the closest to t? (a) k (b) 4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265 = 19*o + 56 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z + 2*z - 8*z - 9*z - 2. Let m = 680 + -553. Calculate the remainder when m is divided by i(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59180 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + 5.04. What is the biggest value in -3, 2\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h**3\/2 - 1596855*h**2\/2 - 9315618*h + 3193920 = 0 for h.\nAnswer: -12, 1\/3, 177440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -3*b**5\/20 - 97*b**4\/4 - 191*b**3\/2 - 285*b**2\/2 + 5*b + 111. Suppose c(l) = 0. Calculate l.\nAnswer: -95, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0 - 1\/60*l**5 + 3*l**2 + 0*l + l**3 - 1\/8*l**4. Let u(d) = -3*d**2 - 8*d + 17. Give -8*m(n) + 3*u(n).\nAnswer: -n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.43661 + -0.4259912. Round c to 4 decimal places.\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f + 403 = 43 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 4 - (-11 + 4) - 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 9:16 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6236, 11636, 17036, 22436, 27836, 33236?\n\"Answer: 5400*p + 836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 235320 + -3?\nAnswer: 235314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2352*i**3 - 4*i**2 + 31*i - 28. What is the thousands digit of r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 5. Let z be (1 - q)*(-16)\/12. Is z smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eoee when four letters picked without replacement from {e: 3, o: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 6*x + 2*x)*(-x**3 - x**3 + 0*x**3) + (25*x**3 - 10*x**3 + 26*x**3)*(3*x - 2*x - 2*x) to the form q*x**2 + j*x**3 + t*x + z*x**4 + l and give z.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**7\/420 - o**6\/240 + o**2\/2 + 10*o - 6. Let i(h) be the second derivative of u(h). Suppose i(n) = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*3 - (-12 - -9). Let d be (3 - 4)*2*-1 + x. Suppose 3*k - 3*w - 12 = 0, 18 = d*k + k - w. Solve 2 = -3*y - k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + l = 33, -22*m = -2370*l + 2366*l + 242 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1660)\/2100 + (17 - 3164\/196)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 20, 3*f - 2*t - 2*t = -619. Let a = -199 - f. Is a greater than 5\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - 82. Let l = -93 - a. Let z(w) = w**2 - 4*w + 4. Give z(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 61449628?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + 7. Let a(m) = m**2 + 3*m + 53 - 4*m - b. Suppose c - 6 = -c. Calculate a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a + 4. What is b(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.011 + 0.089. Sort 1\/5, 4\/3, 3\/2, c in decreasing order.\nAnswer: 3\/2, 4\/3, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/40 and -53\/2788.\nAnswer: 27880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 311 - 271. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -54. Suppose -3*j = -0*j + t. Let i = j - -17. Solve -c = 2*b + 6, -c - 2*c = -i*b - 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**3)\/v)*v**(-16)\/v)\/(v**11\/v**(-22)) assuming v is positive.\nAnswer: v**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, 81, 337, 747, 1311, 2029, 2901?\nAnswer: 3927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -2. Suppose m - 117 = -x*a, 2*m = -2*a + m + 57. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 50 + 6. Suppose -427*d = -430*d + 3*u + 39, d + 4*u = 58. What is the lowest common multiple of y and d?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12212001 + -2?\nAnswer: 12211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8033869, 8033867, 8033865?\n\"Answer: -2*i + 8033871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/15)\/((-162)\/180).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7532 by -14.\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d - 3023 - 1525 = 0. Let f = d + 569. What is the highest common divisor of 76 and f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69823.7 micrograms in tonnes?\nAnswer: 0.0000000698237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/7 (b) -2.4 (c) -12\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/8 and -63\/4966.\nAnswer: 19864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 158, 163, 170, 179?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfddr. What is prob of sequence fr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -759 <= -536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*y - 29*y**2 + 9*y**2 - 46*y**2 - 5*y**2 wrt y?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + z + 3*z**3 + (-1095*z**2 - 87*z**2 + 112*z**2)*(-z + 2*z - 3*z) as w + j*z + x*z**3 + d*z**2 and give x.\nAnswer: 2143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-24))\/(6\/(-4))*-14. Let l(u) = u**3 + 6*u**2 - 3*u + 25. Let h be l(r). Sort 5, h, -2, -19 in increasing order.\nAnswer: -19, h, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 1 + 2)*(-1 + 0 - 2)*(-3*n + 3*n + 2*n).\nAnswer: -108*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1000001001000001?\nAnswer: 1000001000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243104 is divided by 121547?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5\/8 - 3*f**4\/8 - 9*f**3\/8 + 15*f**2\/8 - 3*f\/4 = 0. Calculate f.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert b9a (base 12) to base 10.\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*y = -21, -5*f + 5*y + 265 = 70. Calculate the remainder when f is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*o + 14*o - 99828 = 0. Are 9 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.0216, 1\/4, 0.4, 3.4.\nAnswer: -0.0216, 0.2, 1\/4, 0.4, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 9*l**2 - 6. Determine v(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135.5 * 0.01048.\nAnswer: 1.42004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3020 = -j + 2*u - 3025, -7*j + 3*u = 6*u - 16 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -184002388\/6435 + 28594. Let c = r - 244544\/45045. What is the common denominator of c and -109\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77872934 or 77872933?\nAnswer: 77872934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (12\/9)\/(((-6)\/18)\/(-1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2 + 6*z - 9. Let p(b) = b**2 - b + 1. Let x be 3\/18 - (-222)\/(-36). Let o(y) = x*p(y) - u(y). Suppose o(k) = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 82 = -2*y, x - 2*y - 3*y = 10. What are the prime factors of x + (2 - (0 + 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 5*d - 7. Let n be r(5). Let o be (n\/4)\/(1\/(-12)). Suppose -4*x = -133 - 35. Calculate the greatest common divisor of x and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -255 - 1425. Let z = 8361\/5 + h. Let x = 241 + -511\/2. Calculate the common denominator of z and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 + 0 + 0)*(-2 + 3 + 2)*(-2*w**3 + 3*w**3 - 3*w**3) + (0*w + 2*w - w)*(2*w**4 + 0*w**4 + 0*w**4) + w**5 + 5*w**5 - 5*w**5.\nAnswer: 33*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 4*u - 137. Let p be d(0). Let b = -135 - p. Let q(j) = -5*j. Give q(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 86 - 55 = -w, 4*u = -2*w + 48 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 13794 = 55*l. Let v = l - -1255\/3. What is the nearest to 1 in v, -0.4, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i + 122386 - 11*i - 122399 + (-2 + 0 + 1)*(i + 0*i + 0*i).\nAnswer: -18*i - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2)*(-2060*p + 2107*p - 1478*p) in the form v + j*p and give j.\nAnswer: 2862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 4, 2\/5, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*b**4 - 9903*b**3 + 1980*b**2 = 0. What is b?\nAnswer: 0, 1\/5, 660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 46, 37, 12, -35, -110, -219?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 15*l**2 - 17*l + 19. Let j be u(16). Find the second derivative of p + 0*p + 2*p - 12*p**2 + j*p wrt p.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010101 + -1122211222021?\nAnswer: -1122220002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31275 at most -34.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -59, -6, 47, 100, 153?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 18 = -0*j - 5*q, -3*j + 3*q - 18 = 0. Which is bigger: j or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/252 and -143\/210.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 459875136 a multiple of 1876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 - 1.6. Let g = 3.7 + -4. Which is the third biggest value? (a) 5 (b) g (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1847 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -409*b**2 - 6*b + 14. Let n(j) = 813*j**2 + 13*j - 30. Calculate -11*i(m) - 5*n(m).\nAnswer: 434*m**2 + m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 34*i**2 - 33*i - 98. Calculate x(-3).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -689 + 349 + 65*m + 16*m + 3*m**2 + 339 to x + q*m + f*m**2 and give q.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p + 6. Give y(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 - 5*q**2 - q**2)*(1 + 2 - 9*q - 2)*(-q**2 + 0*q**2 + 2*q**2).\nAnswer: 18*q**5 - 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(2057)) - -6*sqrt(2057)*6)*-1.\nAnswer: -352*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)*-1 - sqrt(14))*4 + sqrt(14) + sqrt(14) + 4*1*sqrt(14))\/(sqrt(72)*2).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*n*y**5 + 111*n*y**4 - 334*n*y + 3*n wrt y.\nAnswer: 280*n*y**3 + 1332*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (580840\/71488)\/((-4)\/144*-15)\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.45 times -0.5?\nAnswer: -2.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/((-476)\/714). Sort -48, y, -4, -2 in decreasing order.\nAnswer: y, -2, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 - 254*w**3 + 1 + 344*w**3 + 59*w**2 wrt w.\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.14 + -92.14. Let r = h - -87. Which is the biggest value? (a) r (b) -2\/25 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 - 2*h. Let z be o(-3). Let i = z + 95. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 9:15 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/4 + 17\/12. Which is the nearest to 0? (a) h (b) 2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-697529)\/(-981540) + 2\/5. Let m = 22\/779 + v. Find the common denominator of m and 8 - 7 - (-176)\/(-30).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-5)\/(105\/56)*21\/(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000026879 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 35*l**4 + 250*l**3 + 420*l**2 + 230*l + 25 = 0.\nAnswer: -5, -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, m: 8, f: 1, o: 2, e: 2, l: 1}. What is prob of picking 1 o, 1 h, and 1 l?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73015844 is divided by 1654.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**(-2\/47)))\/z**(-5)*z*z\/(z\/((z**17\/z)\/z))*z**(-3\/2) assuming z is positive.\nAnswer: z**(1931\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 28*z**2 + 42*z + 172. Calculate r(-4).\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o = 3*y + 23, y + 5*o = -21. Suppose -3*u + 4*f = -4, -4*f - 15 = u + 5. Is 7 a factor of y\/u - 162\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 93. Calculate the highest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = t - 5*c + 14, 3*c + 13 - 54 = -13*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*d - 140 = 0, 4*i + 6*d = d + 99. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413189?\nAnswer: 7, 67, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1559959, -3119979, -4680005, -6240037, -7800075, -9360119?\n\"Answer: -3*b**2 - 1560011*b + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - -78. What is the remainder when n is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 488, 476, 464, 452, 440?\n\"Answer: -12*z + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.222 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 0.03, 3, -1\/2, -0.0293, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1077932*m - 33415893. Determine a(-31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2*-1*9\/(-117).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*f**3 + 7*f + 3 + 80*f**3 - 3 + 82*f**3.\nAnswer: 24*f**3 + 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19548780 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 20 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.212 - -0.088. Let z = m - 4. Which is the third smallest value? (a) z (b) -4 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, -8, -2742, 5, -1 in decreasing order.\nAnswer: 5, -1, -8, -101, -2742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 119 = -q, 3*q = -3*o - 0*o + 384. Let k = 163 - q. What is the least common multiple of k and 1?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 19 + -34 - (0 + 5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 15392 = 2*c + 4*i, 3*c - i - 11542 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -5, -27, -69, -137, -237, -375, -557?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237509.19 rounded to the nearest one hundred?\nAnswer: 237500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 136, -1389.46 in ascending order.\nAnswer: -1389.46, -0.5, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 + 38)*1\/8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16756.\nAnswer: 2, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-641*a + 640*a + 12*a**2 - 6*a**3 + 10*a**3)*(10*a - 38*a - 40*a) to the form j*a**3 + z*a**2 + h*a + l + i*a**4 and give z.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c5a (base 14) to base 13.\nAnswer: -b139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsffs. What is prob of sequence fsf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -30cd?\nAnswer: 30d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3654 is divided by 174?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + r + 1. Let k = 106 - 56. Let q be (-4)\/10 - 80\/k. Let j be b(q). Solve -j*f + 16 = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49\/15 - -11\/3. Let p = -0.109 - 20.291. Let j = p + 20. What is the nearest to b in -1\/4, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 3 - 10. Let w(g) = 3*g**3 - g**2 + g. Let r be w(p). Suppose 3*s + r*t - 87 = 147, -3*s = -3*t - 264. List the prime factors of s.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/11 and 89\/32836815.\nAnswer: 32836815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -2) + (-13 - -19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 17*g - 21. Calculate t(-8).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59142 - 413996\/7. Let p = -0.1 - -0.08. What is the closest to t in 1\/6, -3\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or 519\/308?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 19*n**2 - 4*n + 19. What is the units digit of s(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*61481404\nAnswer: 245925616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o**2 + o. What is s(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/3)\/(2\/6). Suppose -h*i = 2*i - 160. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/414)\/(-25 - -28)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/5 - 269332*b**2\/5 + 18136278141*b\/10 - 18133584921\/2 = 0. Calculate b.\nAnswer: 5, 134661\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -15\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*f**6*w**2 - 11*f**6 - f**2 - 74*f*w**2 wrt f?\nAnswer: 1440*f**3*w**2 - 1320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65643 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: 0.0483416 - 1017871\nAnswer: -1017870.9516584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 20. What is the remainder when q(-9) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -580, -2330, -5264, -9394, -14732, -21290?\n\"Answer: -2*b**3 - 580*b**2 + 4*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 185, 188, 191, 194, 197?\n\"Answer: 3*q + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5\/5 + 72*y**4\/5 + 46*y**3 + 156*y**2\/5 = 0.\nAnswer: -2, -1, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 11. Suppose 5*v - p*d + 45 = 0, 20 = 4*d - 0*d. Sort v, -4, 5.\nAnswer: v, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r = 4*r + 76950. What are the prime factors of r?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26\/21, -3, -1, 2 in descending order.\nAnswer: 2, -1, -26\/21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 799665475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 358 and 12953514?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 108247537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, 1\/3, -6, 1\/2, 868?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 7) to base 15.\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101362 = -8910*h - 50108 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -1\/60*n**5 - 1\/2*n**3 - 1\/24*n**4 + 0*n - 3*n**2 + 0. Suppose -z + 0*z = 0. Determine s(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 4*z + 2. Let d be t(-3). Suppose d*w + 13 = 3. Which is bigger: -3\/5 or w?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 264*h + 9*h + 81*h + 477*h in the form f + n*h and give n.\nAnswer: 831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 61*y + 902. Calculate f(-26).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323192 is divided by 2860?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = -a - 2*a + 64, -n + 5*a = 3*a - 8 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/38356 and 95\/2?\nAnswer: 38356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = -0. Let t = m + 10. Let z be t + -4 + (-1)\/(-1). Which is bigger: 9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2486790577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**6\/120 + v**5\/30 - v**4\/12 + 26*v**3\/3 - 34*v**2. What is the tens digit of r(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {h: 1, u: 1, y: 2, d: 1, p: 2, s: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75072 and 816?\nAnswer: 75072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/570 or -1?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.8 + -2.8. Let h = -121 + 120.9. Let y = h - -0.2. Put y, -5, b, 0.4 in increasing order.\nAnswer: -5, b, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3))**(-2\/35)\/(((w**4*w)\/w)\/(w\/(w**5*w))))\/(w**(-4)\/(w*w*w*w**1))**(-21\/4) assuming w is positive.\nAnswer: w**(-5353\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-29)\/(k\/(k*k**(7\/8)*k)))\/(k\/k**(-45\/7))**(6\/5) assuming k is positive.\nAnswer: k**(-10091\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (4\/6)\/(5236\/92862).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/5, -0.312, 2\/5, 7416, 12, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-1))\/((-9)\/(-72)). Suppose 75*c = 81*c - d. Solve -2*g = -c*g - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39\/2 - 447\/22. What is the common denominator of -1 + (-49)\/2 + 1 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 569\/28 - 83\/4. Let y = 5.19574 - 0.19574. Put y, n, 2, 0.01 in increasing order.\nAnswer: n, 0.01, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(39)*6)\/(5*(sqrt(3) - sqrt(12))).\nAnswer: -12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 188, 247, 290, 311, 304, 263, 182?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -o, -10*d + 7*d - o + 16 = 0. Which is the nearest to 22? (a) d (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 16 = 4. Suppose m - 2*t + 697 = n*m, -443 = -3*m + 5*t. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -160 + -4 + 144 + (-71 - -1).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.059 - 0.041. Let i = -3.9 + t. Let y be (3\/(-45))\/((-2)\/(-4)). Which is the smallest value? (a) -2 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 15, 223, -2, 2 in increasing order.\nAnswer: -2, 2, 15, 18, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**5 + 17*c**4 - 16310*c**3 - 26066990*c**2 wrt c?\nAnswer: 120*c**2 + 408*c - 97860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 759 + -321. What is the remainder when m is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -21. Sort 3, s, 2.\nAnswer: s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*o = 3*h + 27, h - 5*o = -25. Let i = -5 - h. Find the third derivative of -3*v**3 + i*v + v**2 + 2*v**2 + 0*v wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20310848 divided by 29.\nAnswer: 20310848\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3 = -5. Suppose 12*o = 95 - 191. Sort s, 4, o.\nAnswer: o, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 3*a**2 + 2*a + 5. Let f be l(4). Suppose -3*j = -0*j - 18. Suppose -j = -q - 2*q. Put 1, f, q in ascending order.\nAnswer: f, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w + 4*i + 20 = -16*w, 0 = 4*w + 2*i - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chhhhucjucuhaaa. Give prob of picking 1 u, 1 j, and 1 h.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*k + 168 + 54 = 0, -x - 3*k + 70 = 0. Suppose 3*g = x + 17. What is the third derivative of -34*t**2 + g*t**2 - 17*t**4 - t**4 wrt t?\nAnswer: -432*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (32 - -6) + -13 - (0 + 1 + -15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 30 = f, -2*k + 38*f = 37*f + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 518*j*y**2 + j*y + 2*j - 246*y**2 - 7606*y wrt y?\nAnswer: 1036*j - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -56. Let v(c) = -c**2 + 8*c - 9. Let t be v(5). Let h = 18 - t. Calculate the remainder when a is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24990759.4 to the nearest 100000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 144, 194, 278, 396, 548, 734?\n\"Answer: 17*a**2 - a + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 13*z**2. Let l(v) = 196520*v**2. Give n(l(u)).\nAnswer: 502061435200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pypypyppyypp. Give prob of sequence pypy.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**7\/1260 - 5*c**4\/6 - 11*c. Let l(g) be the third derivative of o(g). Let k(n) = 2*n. Determine k(l(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-383*x - 4 - 1117*x + 6 - 66*x).\nAnswer: -1566*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 5*s**3\/3 + 3*s**2\/2 - 5*s - 23. Let c(p) = -4*p**2 - 3*p + 4. Give 4*c(u) + 3*y(u).\nAnswer: -u**2 - 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129758 is divided by 1260.\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9887706 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 21*y + 282. Let r be f(35). Let p = 1058 - r. Is 68 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 318 from -0.678.\nAnswer: -318.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4735046966?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, -1.\nAnswer: -12, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1554 and 5.\nAnswer: -7770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.483 and -4?\nAnswer: 3.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:53 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 + 4*j**3 - 5*j**3 + (2*j**2 + 3*j**2 - 4*j**2)*(-4 + 5 + 0)*(-5*j - j + j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1689 + 431*y**2 + 2598*y**2 - 1691)*(2 + y - 2).\nAnswer: 3029*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -1 (c) 1 (d) -2324455 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1. Let x(h) = -h - 6. Let i(u) = -12*u + 38. Let q be i(3). Calculate q*v(k) - x(k).\nAnswer: k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 310\/3 - 257\/3. What is the common denominator of 1\/(-5) + 8118\/440 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5 + 8 + 2*s + 0 + 3. What is the tens digit of w(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11462307587 - 11462307587 + 69*z.\nAnswer: 69*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.2 + 20.2. Which is the second smallest value? (a) -4 (b) r (c) 1 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 773, 778, 783, 788, 793?\nAnswer: 798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 65\/55 + (-2)\/11. Let m be ((-6)\/7)\/(r\/(-7)). Is m\/(-21) + (-891)\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*j + 26*j + 7*j + 23*j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -5*o - 10. Let p be (15\/(-30))\/(o\/84). Let j = p + 45. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = o - 15, -s + 19 = o + o. Suppose 5*x + 3*u = 41, -3*x + 43*u - 38*u = -s. Solve -6*t = -x*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(5*c - 4*c - 2*c)*(5 + 2*c - 5 + 1 - 1 + 4*c + 0*c + 0*c + c + (3 + 1 - 6)*(2*c + 0*c - c) + c - 7*c + 2*c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l + 40*l = 12*l + 8556. What is the remainder when l is divided by 62?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9291687ns to seconds.\nAnswer: 0.0000000009291687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2*y - 3*y)*(1 - 4 + 2)*(-170 - 139 + 51).\nAnswer: -1032*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*c - 1)*(-4 - 1 + 4) + 3*c + c - c + (42 - 687 + 38)*(-4*c + 2*c + 4*c).\nAnswer: -1209*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16\/73 + -151\/1022. Which is the nearest to 0.1? (a) g (b) -2\/9 (c) 2\/3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**1*f)\/f)**(-13)\/(f**(8\/11)\/((f**4*f)\/f)) assuming f is positive.\nAnswer: f**(-250\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y - 3 + 3*y**2 + 3 to x + g*y + w*y**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7 and (1\/48*38)\/1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 + 3. Let g = -6.1 - -6. Let x = 128 + -131. What is the smallest value in x, g, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-2\/9)*n)\/(((n**1*n)\/n)\/n)*n**(-4)\/(n*n\/(n**(6\/5)\/n)) assuming n is positive.\nAnswer: n**(-116\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2 + 516\/(-256))\/(56\/1876) and 53\/32.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4 - 1)*(-4)\/(-6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30141 and 76113.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -165, -464, -887, -1440?\nAnswer: -2129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678472.\nAnswer: 2, 84809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1072 is divided by 356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21\/28*4*16?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/3 + 184*s**3 + 2186*s**2\/3 + 908*s + 1088\/3 = 0. Calculate s.\nAnswer: -272, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b. Let n(d) = 57*d - 3. Let q(h) = -n(h) - 2*z(h). Is q(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 3:33 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/18 - 2 - 10\/(-36).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 4 + 12. Suppose 5*l - o = -29. Let a(i) = -i**2 + 2*i + 4. Let h be a(4). Which is bigger: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*l + 10440, 39*l - 52032 = -5*r + 45*l. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314463?\nAnswer: 1314463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*t - 2*s = 50*t - 6*s, 2*s - 4*s = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 1 + 0*l**3 + 2\/5*l**5 + 0*l**4 + 0*l**2 - 2*l. What is the first derivative of a(m) wrt m?\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -9. Let t be (3\/o)\/(2\/132). Let a = -1 + t. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 0*z - 5*z - 1 - z + 1 + (-1 - 2 + 2)*(2*z + 3*z - 4*z))*(2*z**3 - 2*z**3 + 7*z**4).\nAnswer: -28*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2. Let c be u(3). Suppose -4*r = -4*w + 3 + c, 4*r - w - 3 = 0. Find the third derivative of 8*d**r - 2*d**2 - 4*d**4 + 0*d**2 - d**2 wrt d.\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2. Let k(j) = -33. Let m(d) = 2*d - 47. Let u(v) = 5*k(v) - m(v). Determine c(u(q)).\nAnswer: -4*q**2 - 472*q - 13924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**3 - 21*f**2\/2 + 9*f. Let x be r(11). What is the units digit of (-18)\/x - 574\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42177*u**3 + 3120*u**3 - 1766*u**3.\nAnswer: 43531*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3164256.\nAnswer: 2, 3, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2281101 is divided by 2001.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 9*h - 2. Let s be n(9). Find the common denominator of (-642)\/48 - (s - -1) and -20\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-10))\/(1\/(-4)*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -73*g - 556. Calculate the remainder when o(-54) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/21 and 107\/3066?\nAnswer: 3066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyyydoyooneo. What is prob of picking 1 d, 1 e, and 2 o?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/837 - -1696\/9207. Let k = -26 + 30. Let y = -173 + 521\/3. Sort o, k, y in descending order.\nAnswer: k, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42*(-15)\/120*-8*9\/(-18).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 - 83*z - 121. Let q be i(-40). Sort -3\/11, 3, 5, q in decreasing order.\nAnswer: 5, 3, -3\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.78 + -1.08. Let i be (-1)\/(-3) - (6\/(-6))\/1. Which is the closest to p? (a) i (b) 3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (sqrt(132) + -2*sqrt(132)))*6 - sqrt(132))\/((1*sqrt(768) - sqrt(768)) + sqrt(768)).\nAnswer: 11*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2*4\/(-40).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1735*x**3 + 9*x**2 + 1735*x**3 - 8*x + 2*x**4)*(2*x + 0*x + 0*x).\nAnswer: 4*x**5 + 18*x**3 - 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4 + 322*h**3 - 13864*h**2 + 160256*h + 614400 = 0. Calculate h.\nAnswer: -3, 32, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*c - 78*c**2 + 2*c**3 - 71*c + 35*c to the form x + f*c + l*c**2 + p*c**3 and give l.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -26. Let n be 2\/s*-8*3. What is the units digit of (-15)\/2*n\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times 13.228\nAnswer: -1.19052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52869 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((1 - -1) + 2)*3\/4. Let o(s) = -3*s + 13. Let u be o(f). Solve 3*q - 12 = q + h, 5*h + 36 = u*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = -4*h. Suppose -7*l + 2*l - 4*c = -39, -h*c - 63 = -5*l. Calculate the greatest common divisor of l and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - -2*sqrt(243) - sqrt(243)) + -1 + 5*(sqrt(243) - 1*sqrt(243)) - (1*sqrt(243)*1 + -1 + -1*sqrt(243)))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 42*l**2 + 160*l.\nAnswer: 2*l*(l + 5)*(l + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 59.2727 grams?\nAnswer: 59272700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 319*i**2 - 2*i + 89 wrt i?\nAnswer: 638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155976 and 82812?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + (sqrt(176)*-2 - sqrt(176))\/sqrt(8) + sqrt(22))\/(sqrt(44)\/(sqrt(12)\/sqrt(3))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/((3\/1)\/(-6) + 1). Let o be (-1)\/w*2 + 3\/7. Let z = 91 - 187\/2. Which is smaller: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 924642 is divided by 462313?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 7*u**2 + 2. Let r be z(7). Let a(v) = -2*v + v + r*v + 3*v**2 - 6*v**2. Let c be a(1). Which is bigger: c or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 + 2*q + 2. Let u(d) = -d**2 + d + 1. Let i(y) = c(y) - 2*u(y). Let a(z) be the third derivative of -7*z**4\/24 - z**2. Give i(a(x)).\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*h + 22*h + 28*h - 81*h + 2461*h**2 + h**2 + 0*h**2 - 2*h**2 + (4*h + 0*h - 3*h)*(h - 6*h + 3*h).\nAnswer: 2458*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-125)*-5)\/((-7)\/(-35))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8292 is divided by 237?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 + 39 - 5*u - 67)*(0 + 0 - 1).\nAnswer: 5*u - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*j + 520 = -0*l, -l + 176 = 3*j. Solve -l*x + 160*x = 50 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11320324 (base 5) in base 14?\nAnswer: 2a0da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83536 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s = 0. Let b(g) = -g**3 + g + 3. List the prime factors of b(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337 = 3*l - 5*c, -3*l + c + 149 = -204. Let d = -96 + l. Solve -n + 5*i = -d, 4*n - 3 = -i + 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 526\/(-10)) + 15\/(-25). Let a = y - 52. Round a to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(432) - sqrt(432) - ((sqrt(3) - ((sqrt(9)\/sqrt(3) + sqrt(3))*-1)**2) + (sqrt(48)\/sqrt(4) + sqrt(12))\/sqrt(4)).\nAnswer: 9*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*n**5 - 11*n**5 + 10*n**5 + n**5 + n**5 + n**5 + 0*n**5 - 3*n**5 + n**5 + (n**2 - n**2 - n**4)*(-n + 1 - 1).\nAnswer: -9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004899086979 to four dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212 + 2?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 4:22 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*n**3*y**2 - 4962*n**3*y - 65*n**2 - 408*y**3 + 2*y wrt y.\nAnswer: 172*n**3 - 2448*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**5\/3 + 1640*a**4\/3 + 57610*a**3 + 5087260*a**2\/3 - 81657755*a\/3 - 28857940 = 0.\nAnswer: -113, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cbcjybblyajb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*k - 21 = 0, -3*k - 22 = -3*i - 13. Suppose -i*v = -5*p - 104, 86 = 2*v - 2*p + 34. What is the greatest common divisor of 598 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -0.4, -4 in decreasing order.\nAnswer: -0.4, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18678 or -18215?\nAnswer: -18215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnqqqkqhhkqqqhhhn. What is prob of picking 2 h?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, h: 10}. What is prob of picking 2 x?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6 + 14 = 0. Suppose -6*f + s*f = -5. Let p = -7 + 12. Calculate the greatest common divisor of p and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -33?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, k: 3, e: 11}. What is prob of sequence fkfe?\nAnswer: 11\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9324280.\nAnswer: 2, 5, 7, 33301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {q: 2, r: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w**2 + 14*w. Suppose 0 = 2*v + 3*h - 27, -40*v + 38*v + 3*h - 3 = 0. Calculate the least common multiple of z(1) and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2175*0.5.\nAnswer: 1087.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2784 - -151. Let d = -2632.9999997237 - y. What is d rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 6:25 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 101536552 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38147342 divided by -3?\nAnswer: -38147342\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/185, 3, -2, -3, -0.4, -25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 430526 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*d - 11 - 75, 0 = 3*l - 3*d - 120. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1196030204 divided by -2\nAnswer: -598015102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06224388 and 4.\nAnswer: -0.24897552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 466 - 447. Calculate the highest common factor of b and 456.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1 + sqrt(1216) - sqrt(1216)) + 2)**2 - (sqrt(1216) + 1*(sqrt(1216) + 0) + 4*(sqrt(1216)*-2)**2).\nAnswer: -19458 - 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + i + 2. Let k be m(0). Suppose 0 = -2*h - k*z - 12, -z - 3 - 6 = 2*h. Which is the fourth biggest value? (a) 0 (b) 4 (c) h (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 24\/20*(115\/10 + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610 = 15670*m - 15731*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259776, 2078202, 7013926, 16625598, 32471868?\nAnswer: 56111386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2474)\/(-2))\/(7\/2 - 3).\nAnswer: 2, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -339474.\nAnswer: -1\/113158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 20 = 5*l, 3*l + 4*c + 12 = 5*c. Let v(r) = r**2 + 4*r + 3. Let n be v(l). Let t = n + 0. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -4\/135, -1, 3\/5, 4, -383?\nAnswer: -4\/135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x = 3*u - 234, 4 = u. Let m = x - 67. Let p(s) = -s**3 + 8*s**2 - 7*s + 3. Determine p(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 1318 + 4832. Suppose -s = 2*u - u. Let j be (u\/1)\/((-2)\/4000). Round j to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/361?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a9d06 + -df?\nAnswer: -1a9de5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/1065332 or 1?\nAnswer: 11\/1065332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 30 - 9\/5*v**2 - 27\/5*v - 1\/5*v**3. Determine n so that y(n) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/((sqrt(11) + sqrt(99))*-1 - sqrt(11)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.658 - 9.342. Is -4\/21 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 13*t**4\/24 + 3*t**3\/2 - t**2. Let m(w) = 3*w + 2. Let l(y) = -4*c(y) + 18*m(y). What is the units digit of l(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482 is divided by 220.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-12)*2093\/2990.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*n - 44 - 36, n - 2*h - 52 = 0. Suppose 4*x - 120 = 4*a + a, 3*a + 5*x + 35 = 0. Let o = n + a. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:34 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13608.08 and -4.\nAnswer: -54432.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15347402468 minus 0.1353?\nAnswer: -15347402468.1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 490323055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -67, -3220\/9, -7?\nAnswer: -3220\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 385\/2 or 194?\nAnswer: 385\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*l - 444 + 1848. What is the units digit of ((-6)\/5)\/(l\/10920)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72*b - 178*b - 2008 - 664*b + 167*b wrt b.\nAnswer: -747","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-28) - ((-14292)\/1344 + 11). What is the second smallest value in g, 3\/10, -0.3, 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(187\/(-68))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 10*y**2. Calculate the lowest common multiple of 8 and g(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178432 and 112256.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeerhete. Give prob of sequence ehee.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.2. Let u = -15 - 15. Let f = u + 34. Which is the nearest to 23? (a) f (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/20*((-326600)\/345)\/142?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(4 - 0))\/(-2). Suppose v - 7*j + 3*j = 1713, 2*v - j - 3391 = c. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937 is divided by 306?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -62733917.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*2*-2 + sqrt(468) + sqrt(468))\/(sqrt(768)*1))\/(2*(2*sqrt(192) + sqrt(192)) - -6*(sqrt(192) - -1*sqrt(192) - sqrt(192))).\nAnswer: -sqrt(13)\/384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73 and 876.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 338451512 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i**2 - 2*i**2)*(1 + i - 1 + 2 - 2*i - 2 + (3 - 1 - 1)*(-4 - 2*i + 4) + 1 + 10*i - 1).\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-63)*(8 - (-2)\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - y + 11 - 2, 2*y - 10 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*n + 214 = 0, 4*p - 6*p - 2*n = 106. Let m = p - -63. Calculate the remainder when 37 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*c = -3234 - 3235, 25912 = 4*y - 3*c. List the prime factors of y.\nAnswer: 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 11*s - 8. Let p be r(9). What is the greatest common divisor of p and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-953600284)\/(-147747816) - 1 - 5. Let w = r - -2\/362127. Calculate the common denominator of w and -5\/12.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bootbboobbdodoobob. Give prob of picking 1 d and 1 b.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 - 1 = 0, 0 = 2*h + 3*s - 5193. Suppose 34*c - 25*c = h. Does 32 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 1. Let f(u) = 452*u**2 - 376. Let z(p) = f(p) - 28*j(p). What is the first derivative of z(x) wrt x?\nAnswer: 792*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3248 - 77975\/24. What is the common denominator of 23\/30 and j?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -11*q**5\/5 - 1977*q**4\/5 + 584*q**3\/5 + 7908*q**2\/5 - 432*q = 0.\nAnswer: -180, -2, 0, 3\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 9 - 9 + 27737*m - 27735*m + 30.\nAnswer: 2*m + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:56 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010 + -1?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30007 + 6*v**2 - 30007.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 157*j - 3. Let n be f(9). Suppose -4*g + n = -g. Suppose 5*w - g = 1260. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 6, -5, -282, 105?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894.\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24606 is divided by 1634.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/200*-12 + (-42)\/60. Which is the fourth biggest value? (a) 0 (b) i (c) 3 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0*y + 1\/30*y**6 - 1\/84*y**8 + 8\/3*y**3 - 2*y**2 + 11\/15*y**5 + 2*y**4 + 0 - 2\/35*y**7. Solve w(q) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123751 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 + 12. Let m = -22 - d. Suppose m = i - 0*i. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -2 + (3 - 1). Let s(m) be the first derivative of 2*m**3\/3 - 4*m**2 + 3*m - 6. Let n be s(c). Calculate the greatest common divisor of n and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 6 + -4 + 4. Let q = -3.9 - 0.1. Which is the smallest value? (a) -5 (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 66 = 3*c, 2*c = 2286*x - 2289*x - 41 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 432\/(-220) + 1 + (-1)\/(-1). Let d = t - -49\/165. Which is the nearest to -0.3? (a) d (b) -0.2 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 3*c - 3. Let r be w(4). Sort r, -4, 4 in descending order.\nAnswer: 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104223 (base 5) to base 6.\nAnswer: 25024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 3*q**3 - 3*q**3 + 4 - 4*q**3 - 4 + q**2 - q**2 - 2*q**3 + q**3 + 5 - 5 + (-q**2 - 4 + 4)*(-2*q + 1 - 1) - 2*q**3 + 4*q**3 - q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*f + 5*f**5 + 15*f + (f**2 - f**3 - f**2)*(-f**2 + 3 - 3) + 2 - 2 + f**5 - 1.\nAnswer: 7*f**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**(-3\/14))*i**(-18)\/i*((i*i\/i**(-6\/17)*i*i*i)\/i)\/i*i*i*(i**7*i)\/i*i assuming i is positive.\nAnswer: i**(-1395\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from {h: 1, o: 1, r: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 55 = -5*y. Suppose -2 = 10*x - y*x. Suppose -x*f - 53 = -215. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*p = -12, -21*a - 20 = -16*a - 3*p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-2)\/12*-194. Let s = 32 + n. Is s equal to -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -102732233*n**6 - 959*n**2 - 4*n - 1136 wrt n?\nAnswer: -12327867960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 4*c - 5. Let d be k(5). Solve d*q - 5*q = u - 20, 3*u + 10 = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 11844.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(0 + u**2 + 0) + 5*u**2 + 176*u - 176*u - 4*u**2 + 2*u**2 - 8*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-272)\/(-102)*(-30)\/1360?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 169, 553, 1183, 2053, 3157, 4489, 6043?\n\"Answer: -f**3 + 129*f**2 + 4*f + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14835*w + 109*w + 479*w - 420*w.\nAnswer: 15003*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2 + 7*d + 26. Let l(i) = 7*i**2 - 13*i - 53. Let f(u) = -5*g(u) - 2*l(u). What is the tens digit of f(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 1, y: 1, n: 1, b: 1, s: 1}. Give prob of picking 1 y and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/10 + (-40)\/(-50). Let a be (-328)\/(-16) - (-1)\/k. Solve -10*s - a = -1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 6*y**2 - 7*y + 2. Let v be p(7). Let o = -0.9 + 0.6. Which is smaller: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x. Let w be y(-1). Let u(g) = 4*g + 10*g - 28 - 27*g + 7*g + g**2. Let n be u(9). Put 0, n, w in ascending order.\nAnswer: w, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -2\/7, 1\/55115 in descending order.\nAnswer: 1\/55115, -2\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -6. Let z be (m + -2)\/(2\/11). Is 10 a factor of (z\/4 - 3)*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from {d: 3, n: 6, o: 1, f: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 2:52 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/5*(-7260)\/(-1483218)?\nAnswer: 2\/227","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/10 of a meter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 474382238?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -300133212 (base 4) in base 6?\nAnswer: -4131330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 172 = -25*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 258 by -43.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -28*h**2 + 46*h + 338. Determine u(4).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000063 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2367 + -1527. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -405431*w + 4577481.\nAnswer: -405431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18, -37, -82, -153, -250?\n\"Answer: -13*d**2 + 20*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.4 + 1.4. Let d = -38344\/3 - -12781. Let u = 419\/548 + -2\/137. What is the nearest to d in 1\/4, u, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 224*l**4 - 6*l - 1357*l**3 + 1369*l**3 + 222*l**4 to d*l**2 + u*l**4 + f*l**3 + c*l + k and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 1. Suppose -2*q = -0*q - 10. Let x(c) = 5*c - 3. Let v(r) = q*o(r) - 3*x(r). Is v(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1125) + sqrt(1125)*4 + sqrt(1125) - 4*sqrt(2880))\/(-1*sqrt(441)*-1 + sqrt(441)*-1*2).\nAnswer: 2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*i + 5*i**2 - 56 - 4*i**2 + 57)*(-i + 3*i - 3*i)*(4 - 1 - 1).\nAnswer: -2*i**3 + 130*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*b + 12 + 2, 5*p + b - 8 = 0. Calculate the common denominator of (2\/12 - p)*1602\/(-60) and 56\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**0\/a*a)**(-18)*(a**(1\/4))**(-2) assuming a is positive.\nAnswer: a**(-73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13102 (base 5) to base 3.\nAnswer: 1102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7707 * 0.042\nAnswer: 323.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a - 1670 + 1572 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 25 = 5*x, 6*k = 3*k - 2*x - 10. Solve -l - 2 + 3 = k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 = -89*n + 3056 + 98 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-3)\/(-10))\/((-24)\/32).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 + (170 - 182) + (-5 - -10) + -13?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/718473 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, z: 2, q: 1, b: 1, d: 2, c: 4}. What is prob of sequence ccq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -aee7dc?\nAnswer: -aee7e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574*i = 4*v + 575*i + 19, 0 = 2*v - 5*i - 95 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 444 and 4551?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4)*j**(5\/3)*j**0*j**(-2\/9) assuming j is positive.\nAnswer: j**(-23\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -414 (base 6) to base 9\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7835 + 0.2165. What is the smallest value in -312, -2\/13, a?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -21\/2 (c) -2\/9 (d) 7\/4 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**3\/(z\/z**2)*(z\/z**(1\/3))\/((z\/z**8)\/z) assuming z is positive.\nAnswer: z**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -174071158 divided by -1226?\nAnswer: 141983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -521 + 72?\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176951.\nAnswer: 176951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2827*n + 1142*n = -178610 for n.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*p + 27 = -14, -4*d + 24 = p. Suppose 5*k - 5*i = 0, -d*k - 3*i + 2 = -7*i. Differentiate 0*h**2 - 2*h**2 + 1 + 2*h**2 + 2*h**k wrt h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 38, -2, 2\/3, -32, -2\/5, 0.09?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a94a4 (base 11) to base 9.\nAnswer: 537007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m = -30. Suppose 0 = -2*u + 4 + m. Suppose 12 + 2 = 3*h - 2*n, -u = 5*n. Solve l + h = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 6:49 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 32?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 2*r + 2. Let q be f(-3). Suppose 0*v - v + q = 0. Solve 0 = v*z - 4*z - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((25\/10)\/(-5))\/(-1*1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -683*p + 26 = -670*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.026 + -698.974. Are -0.1 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(832)*-1.\nAnswer: -8*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143 + -10?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 5 (c) -1 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63688 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -324.0411 - -324. Let v = -285.9589 + r. Let f = -286.00321 - v. What is f rounded to four dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1225.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2 + 3. Suppose -4*q = y*c - 11, -4*c + 4 = 8. Let t = q - -7. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/48096 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44427.\nAnswer: 3, 59, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 8. Let k be n*(-3)\/(-30)*-2. What is the nearest to 0 in -2, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2 + b + 3 + b - 2. Let p(n) = 2*n + 2. Let v(d) = -5*p(d) + 4*t(d). Determine v(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 93149 = -3*h, i - 53421 = -3*h + 39763. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8599444 plus -0.4?\nAnswer: 8599443.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 24 - 32 - 95*d.\nAnswer: -95*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/3657 and 16\/2385.\nAnswer: 54855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280407 is divided by 93463?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-640)\/(-25))\/(2\/40) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 39.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -1.7048, -2\/5, -153?\nAnswer: -1.7048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25777 + -25799.989. Let u = 23 + l. What is u rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51.9 - 49. Let g = -0.9 + c. Put -0.2, 0.1, g in ascending order.\nAnswer: -0.2, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/640410 and 71\/4995198?\nAnswer: 24975990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 19*a**3 + 2*a**2 + 5*a + 21. What is the hundreds digit of n(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*f + 15 = 0, -5*x - 31 - 2 = 3*f. Let y be (4\/(-6))\/(2\/x). Suppose -y*v - 14 + 68 = 0. Solve 0 = 4*t + 4*l - 8, -3*t = -5*l + 2*l - v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - 714\/(-15) - (-6)\/(-10). Let l = 28 - 18. Let o(f) = -f**2 + 11*f + 4. Let z be o(l). What is the highest common factor of j and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 6 - -58) + (-28 - -7)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2. Let m(a) = -a**3 + 4*a**2 - 6*a - 46. Let p(s) = m(s) + 6*q(s). Let d be p(8). Is d smaller than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 981*z. Suppose -18*h + 13*h = -2*i - 16, 0 = -h + 2*i + 8. Let y(x) = -20*x. What is h*j(k) + 99*y(k)?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000485345631 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*l**3*r**5 + 2*l**3*r**2 - 3*l**3 - l*r**2 + 5*r wrt r?\nAnswer: -440*l**3*r**3 + 4*l**3 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -34 (c) 4 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/10 - 1)*5. Let y be (h\/(-9))\/(6\/9). Factor 0 + 0*l - 1\/4*l**y.\nAnswer: -l**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/8 in 3, 11\/45, -42, -0.3?\nAnswer: 11\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2297761, 4595535, 6893323, 9191131, 11488965, 13786831, 16084735?\n\"Answer: s**3 + s**2 + 2297764*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*b + 373 - 338, -5 = b. Solve -3*h - 186*t + 183*t = -12, -1 = -2*h + c*t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 148 + -118. Is 43906\/12 - ((-65)\/r + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -134896, -269791, -404686, -539581, -674476?\n\"Answer: -134895*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 49*f + 2060. Let v be b(-42). Let c be -1*(-1 + -47)\/2. Solve -4*d + c = v*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**8\/56 - a**4\/3 + 26*a**2. Find the second derivative of n(k) wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36231282 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 = 11*a - 4307. Calculate the highest common divisor of a and 2288.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -0.7220184.\nAnswer: -11.7220184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**2*v**3 + 4*f**2*v**2 - 63*f**2*v + 3*f + 1615*v**3 wrt f.\nAnswer: -4*v**3 + 8*v**2 - 126*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*k**3*l*r + k**2*l + 683*k*l*r + 541*l - 17*r with respect to k.\nAnswer: 30*k**2*l*r + 2*k*l + 683*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 63*b = -61*b - 80, 3 = 2*z - 5*b. Let r(y) = 3*y**2 - y - 3. Let t be r(2). What is the greatest common divisor of t and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.4, 7, -6\/5 in decreasing order.\nAnswer: 7, 0.2, -0.4, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*o + 5*s - 8, 0 = -4*s - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 119482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 14 = 3*k, -n - 2*k = -5*k + 4. Suppose 12 = 4*q - n*h, -1 = -2*q - 3*h - 11. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 452*i - 2250. Determine u(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -3, -60, -0.5, -7, -5 in descending order.\nAnswer: -0.5, -0.6, -3, -5, -7, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/4 and 3\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 10:55 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - m + 38 = -0*m, 4 = -k + 3*m. Suppose 8*b - 3*b = -4*d + 13, 4*b = -3*d + k. Solve u = 3, -u + b = -q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-270)\/18 + 6)*(-1)\/(-4)*-1?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578984519 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009541161 rounded to 5 decimal places?\nAnswer: 0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4583*(-2)\/(-2 + 0). Let f = -2 - -2415. Let v = r - f. What is v rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 43825, 87466, 131099, 174724, 218341, 261950, 305551?\n\"Answer: -4*d**2 + 43653*d + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(sqrt(11) + 4) + -1.\nAnswer: 3*sqrt(11) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*j - 3172, 677*j - 826 = 676*j + 5*u. Calculate the remainder when 1592 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-39))\/(16\/72)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -190 and 2.4.\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 416 and 676.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/344 or 1?\nAnswer: -3\/344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17, 0, 1.5, -147.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-18)*38\/133. What is the second biggest value in -1.1, d, 10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 787097886.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 51\/24 + 2\/(-16). Suppose b*k + 2*k = 0. Let c be k + 1 + -3 + 2. Which is smaller: c or 2\/31?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152978164 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: Work out -417 * -0.1.\nAnswer: 41.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t**2 + 198*t**2 + 445*t**2 + 526*t**2.\nAnswer: 1141*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2201313 + -1331?\nAnswer: -2203310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-155)\/(-279)*126\/(-175)*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 5. Let t be l(3). Let w be 4 + (2 - 2 - t). Solve -w*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 1, i: 4, l: 8, d: 3}. Give prob of sequence il.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 43 = -3*s + 75 - 113, s + 5 = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -1, 2, 4, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.1, -81, -2, 1\/8, -1\/241?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -143\/2 (b) -0.04 (c) -0.093 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 235621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21154, 21311, 21572, 21937, 22406?\nAnswer: 22979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 14264016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 28 = -3*p. Let g = 23 - 16. Calculate the greatest common divisor of p and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2736 by -1368.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2252211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p - 6. Let f(z) be the second derivative of z**2\/2 - 10*z. Determine 12*f(c) + 2*x(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(-15*33\/(-55)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 65*u + 132. Let a be o(-67). What is the nearest to a in 1\/4, 1\/10, -30?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2601772.\nAnswer: 5\/2601772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 - 4)*(-3*r**2 + 0*r**2 - r**2) + (-3*r + 3*r + 2*r)*(0 - 1 - 1)*(3*r + 0*r - r + (-2 + 0 + 0)*(-5 + 4*r + 5)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 310 and -751.\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15299521453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**2. Let m(t) = 626*t. Give i(m(f)).\nAnswer: -1567504*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.791 to one decimal place.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3186*s - 5. Let a be x(6). Let q = -1660 + -32161. Let l = a - q. Round l to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 25*w + 11. Give p(25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28\/11 - 151\/55. Let h = 40.4 + -46. Let w = 2.6 + h. What is the smallest value in 0.5, w, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**2 - 150*y + 2002320 = 0. What is y?\nAnswer: -648, 618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -71.266.\nAnswer: 35.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*u + 9, 63 = 5*w + 6*u - 2*u. List the prime factors of w\/20*4*-2*-32.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 9*b + 3. Let p be t(8). What is the tens digit of 2 + (2 - (p + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 18*d - 17. Let m(j) = -28*j + 27. Let w(f) = 5*m(f) + 8*s(f). Calculate w(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2 (b) 0 (c) -0.008 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003321 rounded to 7 dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -100*u**3 + u**2 - u - 1. Let f be q(-1). Let s = f - 96. Put s, 1, 2, -2 in decreasing order.\nAnswer: s, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246521.9 decades in millennia?\nAnswer: 2465.219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5787118?\nAnswer: 2, 349, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f**2 - 6*f + 6. Let s(y) = -4*y**2 - 6*y + 7. Calculate -5*s(i) + 6*u(i).\nAnswer: -22*i**2 - 6*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132.13 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - k + 2*b = -6, -5*k - 3*b + 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 + 1 - 35*h - 4.\nAnswer: -35*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -11*b**3\/3 - 17*b**2\/2 + 23*b + 13. Let a(o) = -2*o**2 - 3*o + 4. Calculate 34*a(n) - 6*j(n).\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -310200 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -6*l + 4*l. Let i = l + 132. Suppose i = 5*p - 46. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**3\/3 - 2*n**2 - n + 178. Let l = 6 - 18. Let a be l\/(-30) - (-66)\/(-15). What is z(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3121341411 (base 5) to base 2\nAnswer: -11000100010110010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 746 = -l + 3*f + 755, -4*l + 4*f = -20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3588.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n. Suppose -3*v - 12 = -t - n*t, 2*t = 4*v + 18. Suppose -t = -z + 2. Sort 4, -2, z in ascending order.\nAnswer: -2, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.159158 centuries to months.\nAnswer: 8590.9896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - (981\/(-12) - 12\/(-16)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 2*d**2 - 1. Let y be i(-2). Let z = 1 + -1.2. Let t = 0.02 + -0.32. What is the nearest to y in 5, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/144 and -83\/180.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 + 576*x + 29087\/3.\nAnswer: (x + 17)*(x + 1711)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 4\/7 (b) -2 (c) -1 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 389817*o + 2827592 wrt o.\nAnswer: 389817","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4)\/(-3) - 11\/2. Let t = 3 - r. What is the remainder when (1 + 11)\/3 + (-55)\/(-5) is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 19*u**2 - 22*u - 40.\nAnswer: (u - 2)*(u + 1)*(u + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163292, 326586, 489880, 653174?\nAnswer: 816468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h - 13*h - 2*h - h + 4*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2320)\/(-12))\/20*(-47)\/47.\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - d - 4. Let j be u(3). Suppose -185 = -5*l - n, -n - 67 = -j*l - 0*n. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.770948 minutes?\nAnswer: 466256880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11*b - 8. Let z(h) = -5*h + 15. Let c be z(-4). Suppose -3*k = -c + 17. Let d(v) = 4*v - 3. Calculate k*t(m) - 17*d(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*k + 2. Let g = 25 + k. Suppose p + 5*l + g = 0, -5*p + 3*l = -2*l - 60. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -162.101 + 162. Let n = -1.899 + v. Let z = n - -2.226. Round z to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 1ab3?\nAnswer: 1aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 242 and 55?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 36, i = 40368*w - 40366*w - 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 541219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 15\/6)*-4. Suppose -d + 5*d = 2*p - 20, p + 14 = -2*d. Let z = g + d. Solve z*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -14*x + 243. Suppose -x*o - 14522 = -140592. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139092.\nAnswer: 2, 3, 67, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*x**5 + 9*x**4 - 8*x**3 - 2992*x + 4 wrt x.\nAnswer: 480*x**3 + 108*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4*g = 13, -h - 26 = h - 5*g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*h - 5*l = 118*h - 3, -4*h - 27 = -13*l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -401*z**5\/5 + 467*z - 585. What is the first derivative of h(k) wrt k?\nAnswer: -1604*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -571*z - 20597. Determine h(-36).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 21 = 4, 2*y + 2*u = 2000. Suppose 0*b + 7632 = -18*b. Let l = y + b. Round l to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 354735543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 227671 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffnf. What is prob of sequence nff?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - j)*(j + 0*j - 2*j) + (7*j**2 + 1 - 1)*(6 - 1 - 1) to o*j + w*j**2 + h and give w.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 8*a**2 - 2*a - 9. Let f be p(-7). Let z = f + -24. Let y = 46 - z. Solve 3*u - y = 2*n - u, 0 = n + u - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -8. Let w = 18 + k. Suppose -x + w = 2*x. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22b + b?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) -0.1 (c) 0.3 (d) -4\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**8\/10080 + o**7\/1260 + o**6\/360 - 7*o**5\/60 - 7*o**2. Let h(i) be the third derivative of w(i). Factor h(c).\nAnswer: 2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/38 or -1?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102275 (base 8) to base 16.\nAnswer: -84bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11215, 22432, 33651, 44872, 56095, 67320, 78547?\nAnswer: 89776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7))**(2\/3) assuming s is positive.\nAnswer: s**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/9))\/(a\/(a**(-8)\/a)))\/(a**(3\/2)\/a*a**(-1)) assuming a is positive.\nAnswer: a**(-155\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -1571.\nAnswer: 7\/1571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(-r**2 + r**2 - r**2) - 13*r + 36*r + 2*r**2 + 9*r as g*r + z + d*r**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30967\/118 + -525\/2. Let w = b + 2329\/413. What is the common denominator of w and 15\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 1:05 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36*(-5)\/(-40) + -4)*36. Solve c*a - 20 = 14*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458683.\nAnswer: 458683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9691 + 17590. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 262.931 kilometers?\nAnswer: 262931000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -123*z + 46. What are the prime factors of n(-2)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 29751535?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 265*z + 7840. What is n(34)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 6:03 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.326 - -2983.574. What is d rounded to the nearest ten?\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 128761*g + 204727 with respect to g.\nAnswer: 128761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 2*l - 65. Let g be -2 - (-3)\/(12\/85). Let w = g - 19. Which is bigger: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56951 - 56948 - 56942 - 56944 + 227785 - g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 175 - 1784 = 5*v, 3213 = 4*h - 5*v. List the prime factors of h.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14 = -10. Let w be (0 - 4)\/(i + -6). Let l be w - -1*(4 - 1). Solve 0 = -3*r - 7 + l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -2\/11793 (b) -2\/5 (c) 2\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*m = -3*f - 32, 0 = -f - 5*m - 30. Let n = 23 + f. Solve 2*t - n = 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-14))\/((-21)\/6)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/12, 4, 318, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18045 is divided by 188?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*(-2*sqrt(2904) + -5*sqrt(96)\/sqrt(4)))\/((sqrt(2048) + (sqrt(2048)*-1 - sqrt(2048) - sqrt(2048)))\/(sqrt(36)\/sqrt(36) + sqrt(4))).\nAnswer: -405*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143.2403 hours to milliseconds.\nAnswer: 515665080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 + 6*(-12)\/45. Let o be -1 - (121 - -3)\/(-4). Let c be 39\/15 + (-3)\/5. Sort n, c, o in increasing order.\nAnswer: n, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - 58)*5\/(-4) is divided by 54\/(-21)*56\/(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**19*y**(-14\/9)*(y**(-3\/8)*y)**(-45) assuming y is positive.\nAnswer: y**(-3433\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/14 + 37\/(-7). Suppose 3*b = 17 + 34. Let s = b - a. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1247*u - 201. Let z be w(6). Suppose -41*m + 27405 = -z. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5550287778 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67105\/24 + -2792. Find the common denominator of 31\/22 and l.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = 4*f + 11. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - i + (-3 + 2 + 2)*(-2*i - i + 5*i) - 3*i + i + 4*i + (0 - 3 + 1)*(-3*i - 23*i + 3*i) to the form p + n*i and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.246 - -0.054. Let g = 31 - p. Let x = g - -0.3. What is the second smallest value in -1, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 16*l**3 + 3*l**2 + 8*l + 5. Let g(n) = -76*n**3 - 16*n**2 - 43*n - 26. Determine -3*g(q) - 16*w(q).\nAnswer: -28*q**3 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (-9380)\/21*14\/105*-9. Calculate the greatest common divisor of 684 and n.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3497272636 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/214 and 3\/10?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4769?\nAnswer: 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7238112\/11 or 658010?\nAnswer: 658010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (264\/(-726))\/((-12)\/22).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1377\nAnswer: -5\/1377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(378))\/(sqrt(24)\/(1*sqrt(4))))**2 + -4*sqrt(14)\/(sqrt(10)\/(sqrt(10)\/sqrt(2))).\nAnswer: -4*sqrt(7) + 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 53777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*g + 2516 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.133737 millennia to decades.\nAnswer: 13.3737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 1:44 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhh. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and -118111?\nAnswer: 177166.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 611, 580, 527, 452, 355, 236, 95?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/24*(418\/(-1463))\/((-18)\/(-56)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -108*x**5 + 174156*x**3 - 2*x**2 - 300351206*x wrt x.\nAnswer: -2160*x**3 + 1044936*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 2:25 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 589466 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3 - r**2 + 2 + r - 2*r + r**3. Let x(p) = p**2 + 51*p + 50. Let d be x(-1). What is f(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33.1 - -33. Put 0.01, -3, g in descending order.\nAnswer: 0.01, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 43?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238999926 divided by -79666642.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 587 + -287. Let k be 34\/51 + 1\/(9\/v). Calculate the greatest common divisor of 714 and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1043155304 (base 6) to base 9\nAnswer: 23323164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 11 + -12 + -4 + 0 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-398)\/8 + 1\/(-4). Let i be (-6)\/5*z\/15. Find the third derivative of h**4 + 3*h**4 - i*h**2 - 5*h**4 wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 16) to base 10.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 9*m - 88. Determine l(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - 24. Calculate the remainder when 29 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 12805.\nAnswer: -3\/12805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2171 in 433, 1\/3, 1\/5?\nAnswer: 433","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5*l - 34 = 5*l, 2*c + 48*l = 44*l - 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 111*c**2. Let q(o) = -2*o**2 - 23*o + 1. Let r(j) = 26*j**2 - 69*j + 3. Let w(m) = -3*q(m) + r(m). Calculate b(w(y)).\nAnswer: 113664*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.312 and 1.\nAnswer: -0.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -2*x + 68, x = 6*o - 2*x - 42 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + m - 8 = -9, 2*r = -2*m + 6. Solve 130*h + r*w + 27 = 125*h, 0 = -h - 2*w - 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/((p\/(p**(3\/4)\/p))\/p))**18\/(p**24*p*p*p**(-2\/35)) assuming p is positive.\nAnswer: p**(1649\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = 13 - 76. Solve -c = 4*a + 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*k + 36380 + 77*k - 391*k - 36380.\nAnswer: -709*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)\/a*a)**(8\/3)*(a\/((a\/a**7)\/a))\/(a**(-6)\/a*a)*(((a*a**3*a)\/a)**(-6))**(-25) assuming a is positive.\nAnswer: a**(1826\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*d - 10 = -7*u, -u + 15 = 3*d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 4. Let j be m(-6). Let h be -3 - (j - 1 - -1). What is the units digit of (-4)\/(h\/2 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28746.\nAnswer: 2, 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.75 - 14.95. Let d = 12.4 + q. Round d to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1278\/(-710))\/((-3)\/(-15))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-1)*106\/(-795))\/((-2048)\/(-576))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**3 - 36151590*g**2 + 104335666 wrt g?\nAnswer: -3*g**2 - 72303180*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8*((-14)\/4)\/(-7). Solve 1 - o = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 k, 1 g, and 1 z when four letters picked without replacement from {b: 1, g: 2, z: 3, m: 1, k: 4, l: 1}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3037 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: Factor 3*x**4\/4 - 381*x**3\/2 + 39639*x**2\/4.\nAnswer: 3*x**2*(x - 181)*(x - 73)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3504577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(65) - -4*1*sqrt(65))\/(sqrt(180)*-2 + sqrt(5) - (sqrt(245) + (sqrt(245) - (sqrt(245) + -2*sqrt(245) + sqrt(245))) + sqrt(245))).\nAnswer: -3*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*k + 11 = 0, -4*l + l - 5*k + 79 = 0. Let m(b) = b**3 - 17*b**2 - 18*b + 25. Determine m(l).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27523 and 255.\nAnswer: 412845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-14))\/(2\/(-14)). Let p = 339 + -179. Let a = p - 158. Solve -i = a*i + z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1828, 2358, 3316, 4702, 6516?\n\"Answer: 214*c**2 - 112*c + 1726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 8*t**2 + 3*t - 3. Determine u(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -3*c - c. Let g be (1 + -3)\/(-3 - (-250)\/85). What is the greatest common divisor of g and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n + 1. Let r(b) = 11*b - 2. Suppose -11*u = -13*u - 10. Let d(v) = u*c(v) - 2*r(v). Determine d(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44\/5 of a millennium?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -33. Let a(z) = -z**3 - 4*z**2 + 9*z + 42. Let w be a(-7). Calculate the greatest common factor of p and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62, 136, 200, 248, 274, 272?\n\"Answer: -o**3 + o**2 + 78*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/23 (b) 2 (c) -0.2 (d) -24.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -3*w**8\/28 + 113*w**7\/42 + w**5\/10 + 700*w**4\/3 - 6113*w. What is the third derivative of f(v) wrt v?\nAnswer: -720*v**3 + 6780*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r = -825. Let u be (-11)\/(r\/(-120))*20\/6. What is the second derivative of -u*x**3 - x + 34*x**3 - 21*x - 13*x wrt x?\nAnswer: 108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/22400 and 43\/5070.\nAnswer: 11356800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*u**4 - 169*u**4 + 0*u**4)*(-2*u + 2*u + u) + (-3*u**4 + 6*u**4 + 0*u**4)*(19*u - 10*u - 17*u).\nAnswer: -233*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjjjjjzj. What is prob of picking 2 j?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 4, 93, -4, -3.\nAnswer: -4, -3, 4, 54, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/40*-15*(-4)\/(-36). Let i = -0.1 - -0.2. Which is the nearest to 1? (a) i (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -163. Let c = 12 - o. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000042297538 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*p + 2*p - 3*p**4 - 38*p**3 + 3*p**2 + 44*p**3 = 0. Calculate p.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + (sqrt(56) + sqrt(112)\/sqrt(2) - sqrt(56)) - sqrt(56))*-5)\/(sqrt(8)*2*2) + ((sqrt(336)*-2 - sqrt(336))\/(5*sqrt(27)))**2.\nAnswer: -5*sqrt(7)\/4 + 112\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -3*c**5\/25 + 2*c**3\/5 - 3*c\/5 - 19. Solve g(j) = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.32 * -0.1.\nAnswer: 0.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + -2*sqrt(114) + sqrt(114) + sqrt(114))*2 + sqrt(114))\/(sqrt(294)*1).\nAnswer: 3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -38214254 and -38214262 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -5.4. Let b = q - 1. What is the nearest to 1\/2 in 3, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-12)*(-8)\/(-6)*(2 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5079 and -0.3?\nAnswer: 0.15237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188 and 2909253.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from get.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 519*z + 2079. Calculate u(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 843417 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 50934765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0*n**3 + 3*n**2 - n**3 + 2*n**3 = 0. What is n?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w. What is the remainder when l(3) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 2:36 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2246664 to the power of 1\/2, to the nearest integer?\nAnswer: 1499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -9. Let b = -4.9 + 3.9. Sort b, v, -0.5 in increasing order.\nAnswer: b, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 265.1 - 265. Let d = 615\/11 + -56. Which is the nearest to z? (a) d (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-132) + 7\/(105\/(-115)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178.12 rounded to 0 decimal places?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1 - 3*p - 43*p**3 + 42*p**3 + 0 + p. Suppose -y + 0*y + 1 = 0. Suppose -5 = -2*j - y. What is g(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 12) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f**2 - 5*f + 4. Let t(r) be the first derivative of 4\/3*r**3 + 2*r - r**2 - 3. Let u be ((-6)\/(-12))\/((-1)\/10). Give u*t(h) + 2*x(h).\nAnswer: -2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:38 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3.7*0.03753\nAnswer: 0.138861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1017*o**2 + 773*o + 16*o - 5115*o - 1249*o**2 - 4161*o wrt o.\nAnswer: -4532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7187918 and 0.2?\nAnswer: 1437583.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.26112043 less than 0.5?\nAnswer: 1.76112043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 461717?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 8.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -48, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*b - 42*b = 70 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 8:57 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 54924004 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 + (-115)\/(-7))\/(864\/(-168)) and 91\/540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-36)\/10*(-1095)\/(-2044)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26, 4, 47, -5, 5.\nAnswer: -5, -0.26, 4, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/4)\/(3\/24). Let p(b) = -2*b - 15. Let s be p(-9). Let m be ((-21)\/2)\/s*2. Are y and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59113 or -59111?\nAnswer: -59113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5 - 348*s**4 + 693*s**3 - 346*s**2 = 0. What is s?\nAnswer: 0, 1, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5017899030 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(11\/(-44))\/((-3)\/252)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17966947 is divided by 2116?\nAnswer: 2107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.27778um to meters.\nAnswer: 0.00001627778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 19\/4 of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045354 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0997 and -41717.\nAnswer: -4159.1849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2066*u - 10310. Determine h(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, 4, -4, -1, -68186, 5 in ascending order.\nAnswer: -68186, -9, -4, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 910 divided by -152.\nAnswer: -455\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 660.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.664 rounded to two decimal places?\nAnswer: -1.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 813091 and 813091 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 3*u + 81. Let z = u + 79. Solve -z*j + 1 = 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 405*i**2 + 2*i + 2. Let s be v(-1). Let m = s + -402. Let z(u) = -u + 3. Determine z(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + 28*i - 233. Determine r(7).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 163146 to the nearest 100.\nAnswer: 163100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 68 = -7*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1268 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -3\/7 (c) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2670 and 91\/4.\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 6457792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/3)*o)**(12\/5)\/(o*o*o**(2\/9)\/o)**33)**30 assuming o is positive.\nAnswer: o**(-1018)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2081154 and -47\/249.\nAnswer: 172735782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*23 - (-6)\/38*-19. What is the greatest common factor of 272 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 298*k**2 - 33*k - 96. What are the prime factors of a(-5)?\nAnswer: 73, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50071 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -71426 (base 8) in base 5?\nAnswer: -1420322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 8*p**2 + 9*p + 9. Calculate k(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-9)*12\/(-2). Find the common denominator of -17\/10 and 1\/((-140)\/273) - t*1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.57959m to nanometers.\nAnswer: 88579590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-4))\/5 - (-3)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 11:19 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*w + 16. What is the first derivative of -5*x**w - 1 + x - 3 - x wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 374 divide 187374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -190 - -192. Calculate the lowest common multiple of ((r - 3)*(10 - 4))\/(-1) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 21.5. Let m = -0.6 - i. What is the third smallest value in 3\/7, m, 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/4 - 7) + 2072\/294?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*z + 319*z + z**2 - 5 + 5.\nAnswer: z**2 + 520*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11287 and 4.026.\nAnswer: 11291.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3524.075 + 3524. Sort -2, -0.4, l in increasing order.\nAnswer: -2, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 - 12*c - 2. Let h(u) = -8*u**2 + 15*u + 2. Let p(b) = 5*a(b) + 4*h(b). Let d(z) = z**2 + 17*z. Calculate d(p(t)).\nAnswer: 49*t**4 - 91*t**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*j**3*o**2 - 297541*j**3*o - 462*j**2*o**2 - j**2*o - 5*j**2 + j*o + 71*o**2 wrt j?\nAnswer: 54*o**2 - 1785246*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5086007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2 - 1)\/(54044 + -53995)?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2. Let q(z) be the third derivative of z**5\/30 - 5*z**4\/24 + 2*z**2. Let y(j) = 6*j**2 - 16*j. Let a(n) = -16*q(n) + 5*y(n). Give p(a(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = 17*z - 25. Suppose -6*c + z + 5 = 0. Suppose 2*y = c*y - 255. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/495)\/(2\/10)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 19600*i**3 + i**2 - 4*i - 5. Let c be f(5). Suppose s - c = 6*s. Round s to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -256955, -513913, -770877, -1027847, -1284823, -1541805, -1798793?\n\"Answer: -3*l**2 - 256949*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/((-1)\/(((-5)\/2)\/5))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w. Let b(t) be the second derivative of 35*t**4\/2 - 79*t - 2. Determine b(p(i)).\nAnswer: 13440*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3374, -3329, -3272, -3197, -3098, -2969?\nAnswer: -2804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572658?\nAnswer: 2, 3, 95443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608315914.\nAnswer: 2, 23, 31, 67, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*o - 44*o. Let x(w) be the third derivative of 10*w**2 + 0*w - 7\/6*w**3 + 0 + 0*w**4 - 1\/15*w**7 + 0*w**6 + o*w**5. Differentiate x(f) wrt f.\nAnswer: -56*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55294 - k + 55294 - 2057*k**3)*(2*k - 4*k + 3*k).\nAnswer: -2057*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = s - 4*w + 49, -29 = -5*s - 4*w. Solve 0 = -5*j + 3*j + s*x + 10, 0 = 5*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 9, -5*s - 3*k + 3 = 2. Let i be 8\/5*((-19)\/(-2) - 2). Suppose 30*z = 33*z + i. Which is the biggest value? (a) z (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s = -2*f + 7*s + 31, 2*s = 2*f + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, -0.011, -0.03?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 10 = -4*r - 61, 2*b = -r - 6 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819 = -1668*b + 1629*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 15) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a kilogram in grams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqeaeaaeeaqaaaaeaqe. Give prob of sequence eaqq.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92121 - 92049. Let k(m) = 3*m**2 - 5*m + 4. Let g be k(3). Calculate the highest common divisor of i and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 35 = -1. Let i = -27 - -27. Let v = i - h. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/38 and -75\/13424.\nAnswer: 255056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 58, 61, 32, -41, -170?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 7*m**5\/4 + 15*m**4\/2 - m**3 - 25*m**2\/2 - 3*m\/4 + 5 = 0.\nAnswer: -4, -1, 5\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35361 - 34569. What is the highest common factor of 5896 and j?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 39. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77180 is divided by 1119.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.495.\nAnswer: 2.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 73*t = 59*t + 54, -5*t = 15*j - 35 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/9)*w*w\/(w\/((w*w*w**(-3)*w)\/w)))\/(w*((((w\/w**11)\/w)\/w*w)\/w)\/w*w*w*w*w*w**(-1\/2)*w) assuming w is positive.\nAnswer: w**(143\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + 7*y**3 - 3*y**3 - 10*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -1. Let q(n) = -n**3 + 11*n**2 + 10*n + 20. Let k be q(12). Let a(l) be the first derivative of -l**2\/2 - 6*l + 1. Give k*j(r) + a(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 10*u - 5*u - 3050, -5*o + 3026 = -u. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 5*h - 135 + 215 = 0, -3*h + 28 = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2, 0*t = -2*t - 5*f + 7. Suppose 0 = -u + 2*u - t. Let o(a) = 2*a**2 - a + 1. Let v be o(u). Solve l = v*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 > 268298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15210127 a multiple of 964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35, -2, 2\/17, 4\/3, -2\/3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 16 = 11*x - 38 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) -1684 (c) 16 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 110 = 85. Suppose 2 - 6 = -2*q. Suppose -q*b - o*n - 19 = b, -b - n = 3. Solve 4*h = t + 8, b*t + t = -4*h - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 2\/11 (c) 2\/7 (d) 3 (e) -27 (f) -1298 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -614376*v**3 + 85*v + 306066388 wrt v?\nAnswer: -1843128*v**2 + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 15036 = -0*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**6\/12 - 2*t**5\/5 - 3*t**4\/4 - 2*t**3\/3 + t**2 + 19. Let w(f) be the second derivative of z(f). Factor w(m).\nAnswer: -2*(m + 1)**2*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 6:13 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -574*p - 400 - 343*p + 95 + 270*p - 225 wrt p.\nAnswer: -647","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 1\/6, -0.04215?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -0.1 (c) -2\/5 (d) 7437\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 498*h + 1952 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -2*p - 543 + 563, -4*p - 3*n = -5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v = 3*w + 9, 2*v = -5*w - 1. Is 2 - -1 - (-1057 + w) 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 2699105?\nAnswer: 5, 193, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 6*w - 7. Let i be 4\/w - 2\/3. What is the tens digit of (-3)\/i*(-1196)\/(-39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32894.534 + 73.466. Let v = b - 32928.102. Let q = 40 - v. Round q to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -14047\/523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3656183567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4ba - 3?\nAnswer: -4bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 39*t**2 + 7*t - 19. Let l be g(4). What are the prime factors of -5 - (-5 - (l - 0))?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t - 10. Let b(z) = z + 2. Let y(d) = -33*b(d) - 6*x(d). Calculate y(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-10)*(h\/(h*h\/h**7))\/h)\/(h**(-4\/13)*h\/((h*h**5)\/h)))**17)**31 assuming h is positive.\nAnswer: h**(2108\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t + 1. Let d(o) be the second derivative of -2*o**3\/3 + o**2 + 420*o. Give -4*d(g) + 3*i(g).\nAnswer: g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from riinnrileininenien. Give prob of sequence er.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4482*q + 6642 = -4320*q for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - g**2 - 3*g**2.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 3*z + 10. Let j(o) = -24*o + 11*o + 4*o + z*o + 1. Let g(c) = 10*c - 2. Determine 5*g(h) + 7*j(h).\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 0 - 7\/6*s**3 + 23\/60*s**5 + 1\/12*s**4 + 0*s + 48*s**2. Differentiate m(i) with respect to i.\nAnswer: 46*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 30 = 5*a, 2*a - 2 = -0. Let j(w) = -2*w + 3. Let g(z) = 5*z - 5. Let t(x) = n*j(x) + 3*g(x). Let r(c) = 2*c. Determine r(t(l)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2024 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6085?\nAnswer: 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -7649 at most -10581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.82 + -6.82. Let h = 6.47 + 23.63. Let q = h - o. Which is the nearest to q? (a) -1 (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -17, -48, -103, -188, -309, -472, -683?\nAnswer: -948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -7. Let s = p - -5. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7176545 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -113*c**3 - 3*c**2 - 3*c - 1. Let m be j(3). Let f = 9088 + m. What is f rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x. Let d(q) = -q. Let t(r) = 6*d(r) - 2*o(r). Let h be 4\/(-3)*(-9)\/6. Let k(y) = -y**2 - h*y + 0*y + 2*y. What is k(t(b))?\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**2 - 151*q + 737. Let h be a(5). Solve -h*r = -98*r + 54 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(16\/(-12))*(-11)\/231*6.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 6*u**2 + 8*u - 1. Let t be n(7). Let s(x) be the second derivative of x**5\/20 - 5*x**4\/12 - 5*x**3\/6 - 7*x**2\/2 + 9*x. Calculate s(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 112041?\nAnswer: -112030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let m(o) = 10*o**2 - 31*o - 3. Determine m(d(q)).\nAnswer: 10*q**2 + 31*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -188*0.01\nAnswer: -1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 333712*l*n**3*x**3 + 3*l*n**3*x**2 + l*n**2*x**3 + 2*l*n**2*x**2 - 1567*l*n**2*x - l*x**3 + n**2*x - 2*n wrt n?\nAnswer: 2002272*l*x**3 + 18*l*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -9. Suppose 0 = -4*d - r + 228, -3*d + 186 = -0*d - s*r. List the prime factors of d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-87290)\/7525)\/((-2)\/(-5))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63 * -0.1.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -32*m + g, -4*m - 77*g + 73*g + 68 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)\/(i*i**(-3)))\/(i**(-13)\/i*i*i**(1\/19)) assuming i is positive.\nAnswer: i**(170\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7626567599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 2 - 3)*(4*s - 3*s + 0*s)*(5 - 4 + 1) - 10 + 10 + s)*(146*s**2 - 65*s**2 - 37*s - 70*s**2) to the form d*s**3 + h + t*s + w*s**2 and give d.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6168 and 18955806?\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-45)\/(-27))\/(-1*10\/12))\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-75)*5*12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = -30. Let y be (4\/(-10))\/(39\/(-1170)). Solve 7*f = y*f - t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322654776 + 322654776 - 3*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 34*u**2 - 2*u - 38. Give g(-34).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24.4 - 24.3. What is the closest to 0.3 in -0.5, h, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569 less than or equal to 7703\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140340 divided by 20.\nAnswer: 7017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11991\/5 + 2398. Which is the biggest value? (a) -32 (b) n (c) -0.5 (d) -0.3 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154257339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1753 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 - 182*l**2 + 91*l**2 + 89*l**2 + 3*l**3 - 2*l**3 - 3*l**3 + (4*l**2 - 5*l**2 + 0*l**2)*(-5*l + 4*l - 3*l).\nAnswer: 4*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 - 45. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 14*c**2 - 23*c + 73. What is q(10)?\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3 - 107\/(-18)) + (-2)\/(-4) and -34\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 8*v**2 + 8*v + 14. Let w be x(9). Suppose -w = -6*z + 7. Let s(d) = 8*d - 1. Give s(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103914642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 142 = -206. Let c = 134 - v. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*z + h, 4*z + 3*h - 7 = 26. Suppose -z*d = -58 - 44. Which is smaller: d or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 140 + -165.7. Let l = o - -26.1. Put 6, 3\/4, l, -0.4 in descending order.\nAnswer: 6, 3\/4, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -5\/6*g**4 + 0*g**3 + 0 + 7\/20*g**5 + 16*g + 0*g**2. What is the third derivative of d(x) wrt x?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**5\/60 - t**4\/2 - 13*t**3\/6 + 161*t**2. Determine f(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2597 divided by 53\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-17 - (-36 - -9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-90)*9)\/((-6)\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008557372 rounded to 5 dps?\nAnswer: -0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/5 in -2, 2\/13, -1\/6, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**4\/14 - 82*b**3\/21 - 296*b**2\/7 - 512*b\/7 + 2533. Suppose p(i) = 0. Calculate i.\nAnswer: -32, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 8 - 31. Suppose b + 363 = 2*m, -2*m = -3*m - 4*b + 177. Suppose -6*z + 371 + m = 0. What is the highest common factor of o and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5118604 divided by -4838?\nAnswer: -1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 9*h**2 - 8*h + 3. Let k be g(-8). Let i(l) = 5*l**3 + 5*l**2 - 3*l - 4. Let m be i(k). Let n = m + -90. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.35 - 0.1. Let o = y + -0.2. Is -5 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - z + 5 = 0, 4*c + z + 6 - 11 = 0. Suppose 4*w = w + 3*l + 255, 3*w - l - 263 = c. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54271*g**2*z + g**2 + 2*g*z - 2451*g - 14 with respect to z.\nAnswer: -54271*g**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 5*t + 3*t)*(-6*t**3 + 4*t**3 + t**3) + 4*t**4 - 6*t**4 - 7*t**4.\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*i*l**3 - i*l**2 + 8*i*l + 93*i + 1138*l**2 - 2*l - 22212 wrt l.\nAnswer: -198*i*l - 2*i + 2276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-507))\/((-4)\/13)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/7 + -1 + -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*(sqrt(132)\/sqrt(3) + -4 + sqrt(44)) + -1)*-3)**2.\nAnswer: -5040*sqrt(11) + 33885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + 8b?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4*(8 + -8). Suppose j = 5*y - 28 - 47. Calculate the remainder when 11 is divided by ((-70)\/y)\/((-2)\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (128\/96)\/((-2)\/(-42426)). Suppose -d + u = 11*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(342)*-2 + sqrt(342)) + sqrt(342))\/((sqrt(72)\/sqrt(4))\/sqrt(3)))\/((sqrt(63)\/sqrt(3)*3)\/(sqrt(7) - 6*(sqrt(28)\/sqrt(4) - sqrt(7) - sqrt(7)))).\nAnswer: -7*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 30 = 8*m. Solve -12*k = -9*k - m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -392 (c) -0.0182\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**1))**(4\/23) assuming m is positive.\nAnswer: m**(-4\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 11*l - 30. Let q be r(-7). Let m(g) = -8*g**2 + 17*g - 3. Let p be m(2). Suppose 3*j + f = -2*f + 12, -4*j + 24 = -4*f. Sort p, j, q.\nAnswer: q, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**7\/21 - p**4\/3 + 3*p**2. What is the second derivative of z(t) wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91\/5 - -1097\/60. Let c(r) be the second derivative of 0 - 10*r - 4\/3*r**3 + y*r**4 + 8*r**2. Suppose c(l) = 0. What is l?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idg when three letters picked without replacement from {i: 1, g: 4, k: 2, u: 1, d: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 959576 and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 + 14*o + 263. Determine g(-8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -6181 - 1169. Is 140\/j - 21604\/(-30) a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 10:56 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 17.79969 grams?\nAnswer: 0.00001779969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 18 = 0, 45 = -11*w + 13*w + 5*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 14*c - 19. Give v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58737 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 8*q**2 - 9*q + 3. Let b be r(-9). Let s(f) = -f**3 + 7*f**2 - 3*f - 3. Does 4 divide s(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67577578 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -36, -26, -16, -6?\n\"Answer: 10*m - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + n = 3*n + 13, -2*n - 22 = -2*c. Let y = 10 - c. Which is greater: -1\/13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448 divided by -2.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*d**2 + 153*d - 2648 wrt d.\nAnswer: -30*d + 153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2632388837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4807 + -2?\nAnswer: -4809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133944906834 - -0.1.\nAnswer: 133944906834.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -216*m**5 - 2*m**2 + 214*m**5 + 9*m**2 - 3*m - 5*m**4 wrt m.\nAnswer: -120*m**2 - 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(468)*3 + sqrt(468))**2 + ((sqrt(156)\/sqrt(4))\/sqrt(3))**2*-5.\nAnswer: 29887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4105, -20451, -55115, -114169, -203685, -329735, -498391?\nAnswer: -715725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -189 divided by -63\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -48, -125, -254, -435, -668?\n\"Answer: -26*s**2 + s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3\/13 - 62756*b**2\/13 - 62754*b\/13 = 0 for b.\nAnswer: -31377, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -13156\/12723?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000264358 to six dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -14*i**2 + 5*i - 1. Let z(f) = 8*f**2 + 1. Let m(o) = -o**2 + o. Let v(s) = 6*m(s) - z(s). Let a(d) = 3*v(d) - 4*y(d). Give a(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 0 (b) -2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 3)*10\/35?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 + 0*o**4 + 0*o**4)*(0 - 4 + 0) + 2313*o**4 + 1064*o**4 + 1235*o**4.\nAnswer: 4604*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4516789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 l when four letters picked without replacement from nnnnnnlnnnnnn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1107)\/287 - 1\/7. Let t be ((-3)\/3)\/(o + 7 + -4). Solve a - 2*a = t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*u + 25, 4*u - 5*u + 19 = 4*s. Suppose 1 = -3*o - s*g, 5*o - 2*g = 2*g + 9. Suppose p - 4*x + o = -x, -3*x + 5 = p. Solve p*c = -2*c - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942 is divided by 52.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 2*v = -14 - 5, -g - 4*v - 7 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 2*d**2 - 7*d**2 + (-5*d + 3*d + 0*d)*(d - 2 + d - 3*d).\nAnswer: -5*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-10))\/((-2)\/(-15)). Let j(n) = n**2. Let f(p) = 4*p**2 + p**3 + p**3 + 4*p**2 - p. Let o be 0 + (-3)\/12*-4. What is l*j(y) + o*f(y)?\nAnswer: 2*y**3 + 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5300981604 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 270.9027 decades to millennia.\nAnswer: 2.709027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*p + 103*p + 11984 = -109*p + 3482 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2253828 divided by 1.\nAnswer: 2253828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 657, 3237, 7723, 14115, 22413, 32617, 44727?\nAnswer: 58743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2693135, -10772473, -24238033, -43089815?\nAnswer: -67327819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -204\/11 or -18?\nAnswer: -204\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(c + 2*c - 7*c)*(3 + 1 - 2 + (3 - 1 - 1)*(2 + 0 + 0)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 3*g - 17. What is the tens digit of a(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -105 + -33*3480594\/(-1093950).\nAnswer: -2\/425","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*x + 3*i + 7, -5*i = -x + 22. Let g = 0 - x. Solve j = -l + g*j, -10 = -l - 3*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1325.4 and 0.03?\nAnswer: 1325.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/5335 and 53\/914375.\nAnswer: 88694375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7689*a = -70663 + 716539 for a.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4306, 4310, 4314?\n\"Answer: 4*h + 4302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217074*a + 183*a**2 + 8*a**4 - 2*a**3 + 2*a**3 + 221946*a wrt a.\nAnswer: 96*a**2 + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-12 + 15)) + -6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12419834 divided by -1\nAnswer: 12419834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.4, -0.486, 0.5 in decreasing order.\nAnswer: 0.5, 0.3, -0.4, -0.486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 4. Let x be u(6). Let j(m) = -5 + m - 2*m - 4*m**2 + m**3 + 12*m**x. Let d be j(-8). Solve -d*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.2 + -20. Let u = 21.8 - 22. Which is the biggest value? (a) u (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1551 = w + 3*j, 8163 = 5*w + 2*j + 382. What are the prime factors of w?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 2:54 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 - 2*y**2 + 0*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46506, 46505, 46504, 46503?\n\"Answer: -n + 46507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(12\/(-8) - 396\/(-360))*-8. Factor -d*u + 0 - 8\/5*u**3 + 28\/5*u**2 - 4\/5*u**4.\nAnswer: -4*u*(u - 1)**2*(u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in 0, 0.01, -0.94?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*j - 10. Let r be 2\/8 + 19\/4. Let a = j - r. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6611801 is divided by 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 24\/8*6*((-34)\/(-60) - 142\/355)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/1550 and 18\/1025.\nAnswer: 63550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**7\/21 + 2*i**4\/3 - i. What is the third derivative of v(u) wrt u?\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0 - (5 - (-18 + 23))) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + f + 25. Let n be z(0). Let a = 6 + -23. Let x = n + a. What is the least common multiple of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 (base 7) in base 10?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 12:03 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 greater than or equal to -108\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 406\/8 + 0 + 27\/(-36). Let g = 53 - c. Solve 0 = -8*j + g*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.472 in 5, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-30))\/((-2)\/(-9)). Suppose 0 = -q + a. Find the second derivative of -4*b - 4*b**q + 6*b**2 - 6*b**2 wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(12 + -5 + -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - b**2 + 3*b + 20. Let m = -47 - -69. What is the lowest common multiple of w(0) and m?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1874, 1645, -700, -5161?\n\"Answer: -1058*s**2 + 2945*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*y + 4*s - s, y - 6*s + 35 = 0. Let b(l) = l**3 + 4*l**2 - 13*l - 35. Give b(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 649979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h**(-18)\/h*h)*h**11*h*h*(h\/(h\/(h**19*h*h)))\/h**(-16\/5) assuming h is positive.\nAnswer: h**(286\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -690*w + 209 + 388*w**4 + 1088*w**4 - 209 - 181*w wrt w.\nAnswer: 17712*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcyy when four letters picked without replacement from qqqihyqyycyg.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 7. Let q = -30.067 + -1.798. Let j = z - q. Round j to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94564409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = s - 619 - 14436, -3*s + 5*u + 45215 = 0. Is 52 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110 or -221\/2?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39775 is divided by 329?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3 - 1. Let q(g) = 0*g**2 - 4*g - g - g**w. Suppose -34*j + 81*j = -282. What is q(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -22*b - 4. Let t(q) = 17 - 35 + 1000*q - 978*q + 21. Determine 2*g(l) + 3*t(l).\nAnswer: 22*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*r - 162 = -590 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 22*b**2 + 3*b + 6. Let y(w) = 21*w**2 + 2*w + 6. Determine 2*g(u) - 3*y(u).\nAnswer: -19*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*r - 31*r + 19*r = -1278. Solve -u + 51 = -r*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4993 - -5325. Calculate the remainder when a is divided by 66.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2210460 is divided by 1031.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/10 - 1940218\/420. Let a = d + 4605. What is the common denominator of a and (-1)\/(-1) - (-242)\/(-28)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207103, -207132, -207161, -207190?\nAnswer: -207219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.9 - 5.1. Let w = m - -29. Let z = 321\/28 - 47\/4. Which is the nearest to -0.1? (a) z (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2) + 0 + -18 + 21 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -7. Suppose 5*f - 6 = -4*c, f = -5*c + 3*f - 9. Let b be (-1 + 2)*l\/c. Is 1\/4 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2. Let r(y) = y + 1. Let d = 251 - 140. Let s(v) = -38*v - 57*v + d*v - 4. Let z(b) = -4*r(b) - s(b). Give z(i(o)).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 + (-21)\/(-3) - -17. Let w(k) = k**2 - 12*k + 4. Give w(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.096 + 0.09599999. Round k to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -29\/2*i**3 + 9*i + 39\/2*i**2 + 4. What is the derivative of n(r) wrt r?\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 - 3*r**2 - 6*r - 10. Determine n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 561, 1544, 3135, 5334, 8141, 11556, 15579?\n\"Answer: 304*f**2 + 71*f + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 11:46 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 328*c**2.\nAnswer: c**2*(c - 328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - ((-6)\/(-2) + -3). Let v = 22\/5 + r. Factor 0 - v*f + 2\/5*f**2.\nAnswer: 2*f*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1705)\/(-22)*(-45)\/225)\/((-2)\/(-4)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (5780\/(-1360))\/((-26)\/88).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3)*(-14 + 274 + 82 - 9)*(0*g + 0*g - 3*g**3) as o*g + s*g**2 + v*g**3 + x and give v.\nAnswer: -1998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*x - 1 - 26*x + x**2 + 5*x**3 - x**3 - 28*x + 70*x + 2*x**4 as i*x**2 + m*x**4 + h*x + g + n*x**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/473 and 26\/387.\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2 and (-14 - (-531)\/36)\/(146\/60)?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.963583 rounded to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -59*j + 236. Calculate w(3).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*sqrt(468) + -5 + sqrt(468) - (sqrt(468) - ((sqrt(468) + -3 + sqrt(468) + 0 - sqrt(468))**2 + sqrt(468)))).\nAnswer: -12*sqrt(13) + 474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20237 + 28660. List the prime factors of s.\nAnswer: 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 489*f**2 - 102*f + 101. Is r(1) a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -0.1. What is the closest to 0.1 in x, 5, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1443375.\nAnswer: 3, 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s + 3*s - 5 - s - 3*s. Let c(o) = 50*o - 2. Let g be c(0). Suppose -8*t + 6 = -6*t. Let i(a) = -3*a - 4. Determine g*l(q) + t*i(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) -5 (c) 1182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*b + 7*c - 162, -81 = -b - 3*c. Let t be 4 + b\/(-18) - -1. What is the fourth biggest value in 0, t, -0.5, -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -1.3 (b) 2\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32337136 and 845.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 39 = m, -11*m - 128 - 46 = -4*l - 6*m for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 2615325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2 - 3*n**2 - 6 - 2*n**2 to the form u + f*n + m*n**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 65 - 1 = 0. Suppose -2*n - 2*n = -o. What is the remainder when 11 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -251.6 + 252. Let i = 0.56 + -0.36. Which is the nearest to 7\/4? (a) i (b) t (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 325529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/(d\/d**16))))\/(d\/d**(-18)*d*d))\/((d\/(d\/(d*(d**(-11)\/d)\/d)))\/(d*d**(-1\/12))) assuming d is positive.\nAnswer: d**(95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 (base 14) in base 3?\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -7. Let z be (3 + 9994\/s)*-114. What is z rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 9\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152328 and 19618?\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59021 divided by 59021.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 6. Let n = -10 + f. Let z(q) = -q + 1. Let r(a) = 12*a - 11. Calculate n*r(u) + 22*z(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 11*v**2 + 7*v - 5. Let n be ((-54)\/(-21) + -4)*-7. Let g be k(n). Calculate the highest common factor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/84)\/((-2)\/6)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h**2 + 6*h + 6. Let z(a) = a**2. Let n(q) = x(q) - 6*z(q). Calculate the remainder when 28 is divided by n(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1564*j = -1572*j + 56 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002000 (base 3) in base 5?\nAnswer: 11113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32541 is divided by 316?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 0 + 0*z - 1\/60*z**5 + 0*z**4 - 19*z**2 + 0*z**3. Let v(p) be the first derivative of -p**2\/2 - 1. What is v(y(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 1:27 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*s + 4*z, -3*s = -4*z - 1 + 3. Differentiate -q + 0*q + 0*q - s with respect to q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a hour in minutes?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - t. Suppose 0*x - 4*x = t. Let w = -2.32873 - -2.52873. What is the second smallest value in x, -4, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87103 is divided by 131?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 65 - 27 + 93 = -4*x - 88, 1570 = -28*x + 2*w for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1475846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l. Suppose -3*o + 1 + 17 = 0. Suppose 3*k - o - 2 = -2*b, -15 = -5*k - 5*b. Let f(g) = 0*g**k - 10*g**2 + 15*g**2. Give f(s(u)).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4190*u**3 - 2219*u**2 wrt u.\nAnswer: -25140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340306 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -591\/10. Let n = -0.95 - 0.05. Suppose 4*a = 2*y + a - 14, 8 = -2*a. What is the closest to y in 4, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - k. Let t(c) = -6*c**2 + 6*c. Let n(f) = -11*j(f) - 2*t(f). Let h(x) = 6*x**2 - 4*x. What is h(m) - 4*n(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 24. Let t(w) = -22*w**3 + 1. Calculate the remainder when t(-1) is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20864, 83576, 188112, 334472, 522656, 752664?\nAnswer: 1024496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 19. Let y = 2 - r. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 1104?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -215.5646454 - -0.2\nAnswer: -215.3646454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3*z + 7*z. Let k(f) be the second derivative of -1\/12*f**4 + 0*f**3 + 0*f**2 + z + 6*f. Let q(d) = -11*d. Give q(k(m)).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(6\/5)*o\/(o\/(o\/(o**(-1\/23)\/o)*o))*(o**15*o)\/o**(3\/2) assuming o is positive.\nAnswer: o**(4311\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 25501521.34\nAnswer: 25501521.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 + 3*j + 5. Let t be g(-3). Let u = t + 90. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 - 179 = -4*n. Let w = 11 + n. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.677.\nAnswer: 1.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000107571775 rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -169, -187, -221, -277, -361, -479?\n\"Answer: -x**3 - 2*x**2 - 5*x - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110 + -78. Let p = -36 + j. Let d be (11\/(-22))\/(3\/18). Sort -0.5, d, p, -2 in ascending order.\nAnswer: p, d, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 = 2*r + 180. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) + (sqrt(96)*-2 - sqrt(96)) - (2*sqrt(864) + sqrt(864)))*-4)\/((1*sqrt(162)*5 + sqrt(162) + sqrt(162) + sqrt(162))*-6).\nAnswer: -11*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -226 + -16405434?\nAnswer: -16405663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-2\/9)\/h)\/h*h)\/h*h*h)**(-42))**(-6\/5) assuming h is positive.\nAnswer: h**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w\/(w\/w**18*w)))\/w)\/w**(-9))**44)**(-1) assuming w is positive.\nAnswer: w**352","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12416*s - 173*s**4 + 12416*s + (3 - 3 - 2*s**4)*(1 + 2 - 1) + 4*s**2 - 4*s**2 - s**4 + 0 + 0 - 2*s**4 + (1 + s - 1)*(0 + 0 - s**3).\nAnswer: -181*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.03961\nAnswer: -0.019805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (57 - 507 + 269)*(1 + 2 - 1 - 2*u**2)*(-9*u**2 - 10 + 10) to x*u**2 + c*u**3 + m + l*u**4 + n*u and give x.\nAnswer: 3258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 98.6964 from -45709824.\nAnswer: -45709922.6964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**4\/4 + 22*d**3\/3 + 10*d**2 + 74*d + 58. Let z be b(23). Solve z*g = r - 3, -r + 2*g + 3 = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 46. Let k be (-1925)\/(-693) + 4\/18 - -1. Suppose 3*b = 2*t + 59, t - 5 - 59 = -4*b. Solve 0 = -k*f + j - b, -j + c = -f - 4*j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176435890591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k - 3. Let y(f) be the first derivative of -f**2\/2 + 2*f + 65. Calculate 3*d(g) + 5*y(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 5*o - 22. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 8) in base 6?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8387610 and 630?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -51*y - 1. Let k be w(-1). Suppose 2*l + k = 168. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 4719?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 4 (b) -1\/4 (c) 1\/5 (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and -0.085035.\nAnswer: 2.04084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -8*i + 8. Let u = 533807 + -533807. Which is the closest to 5? (a) i (b) u (c) -0.05 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 3 + 3)*(-3*i - 2*i + 2*i)*(-3 - 8 + 4) + (-4*i**2 + 3*i**2 + 2*i**2)*(2 - 3 + 2) + 4*i**2 - 4*i**2 + 3*i**2.\nAnswer: -38*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13782?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d7d + 3?\nAnswer: 2d82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = 5*l - 17*z - 44, z = -4*l + 10. Solve 5 = -2*g + 5*t, 4*t - 17 + 1 = l*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c + 19 = 3*y - 31*c, -4*y + 3*c = -33 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/3 + 5\/(-1). Let l(k) be the first derivative of 1\/2*k**2 - 3 + 3\/5*k**5 + 0*k**4 + w*k + 0*k**3. Find the second derivative of l(x) wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1898*l**2 + l**4 + 5*l - 2*l**4 - 957*l**2 + 3*l**3 + 1 - 1005*l**2 to h*l**3 + w*l**4 + a*l + f*l**2 + u and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-3\/5)*x**5*x*x*x)\/(((x**0\/x)\/x*x)\/x**(-6)) assuming x is positive.\nAnswer: x**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - -3.92. Let w = r - 4.4. Let n = -128 + 129. What is the nearest to 1 in w, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5558386372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34\/3 + 2\/9*i**2 + 28\/9*i.\nAnswer: 2*(i - 3)*(i + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbccccccbbcccch. Give prob of sequence ccb.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22441 is divided by 1120?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.7272 + -0.7272. What is the fifth biggest value in -0.4, 1\/2, 3, -2\/13, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 48977 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 702546340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 24 - 15*x - 12*x + 0 + 6 as f*x + t and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 283939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008204 to 6 decimal places.\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(84\/3)*7\/2*2.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 - 13*g**2 - 5*g**3 + 3*g + 3*g**2 to s*g**3 + f*g + p*g**2 + o and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10*0.25001\nAnswer: 2.5001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 - 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2013.464503 rounded to the nearest ten?\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 17*i - 36. Let u be d(-4). Let n = 7 - 7. Let h = -3 + n. Sort -5, h, u in decreasing order.\nAnswer: u, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10760)\/(-60))\/(4\/(-6)). Let f = 808\/3 + n. What is the closest to f in -1\/2, 0.7, 1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/(-3)*101439\/44217.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 56, 2569.\nAnswer: -3, 3, 56, 2569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.86 * -10.2298.\nAnswer: 8.797628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, w: 3, x: 1, f: 1, t: 1, c: 5}. What is prob of picking 1 w, 1 y, 1 t, and 1 c?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (95\/(-455) - ((-80)\/(-26) - 3))*1. Sort z, 5, 42.2, 0.3.\nAnswer: z, 0.3, 5, 42.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44241672.2 rounded to the nearest 10000?\nAnswer: 44240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-5))\/((-274)\/(-30) + -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -46. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.044 - 141.956. Let b = w + 140. Let v be (5\/2 + -1)\/(-2). Which is smaller: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 - 112. Suppose 3*r - 2*n - i - 133 = 0, 5*r - n = 225. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 3*y - 5, b + 4*y + 18 = 7. Let v be b\/(-6) - (-19)\/6. Solve 15 = -2*t - 3*f, 7*f - v*f = -4*t - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -131480 to the nearest 1000.\nAnswer: -131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3953 + -16858?\nAnswer: -12905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10768697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 at least -1944516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y - 51*y + 14 = 5*b - 34*y, 0 = -y + 19 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 26*r + 1518 = 0. Calculate the remainder when 199 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121010011033 + -2?\nAnswer: -121010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1898*l + 1824*l - 357*l - 2.\nAnswer: 3365*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540 > 1539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 + 340. What is w rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 121?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 3:08 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (9\/54 + 4\/(-6)). Let r be (-11 + 7 - 0)\/(1\/75). Let s be 125\/r - (-1)\/(-3). Which is the closest to 3? (a) 5\/2 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 114\/15 - 4\/(-10). Let o = p + -8. Suppose -2*d + 56 - 12 = o. Calculate the smallest common multiple of 12 and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/3)\/p)**(-18\/5)\/(p**8*p**(1\/4)*p))**(-48))**(-1\/16) assuming p is positive.\nAnswer: p**(-483\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*g - 2*h, -16 = -5*g + 2*h + h. Suppose g*s + 8 = 0, s + 3 = -2*q + 5. Solve 0 = 5*k + 4*a, q*a + 13 = -3*k - 2*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*f - 18, -13 = -2*a - 9*f + 4*f. Solve 0 = u + a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24697733.\nAnswer: 24697733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62454*c**3 + 22827 wrt c.\nAnswer: -187362*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (4 - 3) - (-7 + -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.104 - -11.896. Let k = 82.36 + 0.64. Let z = 82 - k. What is the closest to z in 2, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwww when four letters picked without replacement from {q: 8, w: 3, v: 5}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 1702.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*c*g**3 - 3*c*g*z**2 + 2*c*g - 154*c*z + 4*g - 3*z**2 + z wrt g?\nAnswer: 12*c*g**2 - 3*c*z**2 + 2*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4550453 + 3?\nAnswer: -4550450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, -385, 5, -5, 1 in decreasing order.\nAnswer: 12, 5, 2, 1, -5, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 860017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.683446 - 6.709. Let z = 0.0254 + f. Round z to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z - 5. Let m(b) = b - 1. Let k(u) = 3*i(u) - 15*m(u). Let x(l) be the third derivative of l**4\/12 + 32*l**2 + 2. Determine x(k(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = m - 0*m + 4*u, -4*m + 366 = -2*u. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 5:31 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22 (b) -5 (c) -1475989 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 117 in descending order.\nAnswer: 117, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/((-33)\/(-44)). Let q = m - 4. Let f(k) = -k + 1. Let u be f(4). Which is smaller: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*(-207)\/460)\/(2\/4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8 and 6.31598919.\nAnswer: 14.31598919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 227337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48187837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -301*d + 3796. Let k be i(17). Is -1319 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16413606515 and -0.46.\nAnswer: 16413606514.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v = -21. Let q(f) = -f**3 - v*f**2 + 1 + 4*f**2 + 8*f**2. Let h(w) = 2*w**3 - 14*w**2 - 3. Give -3*h(x) - 8*q(x).\nAnswer: 2*x**3 + 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/(-144)*-3 + 2\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1993 is divided by 395?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 77 + -97 - (1 + 4)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*o - 11 = o, -4*a + 32 = 4*o. Let b = -3 - -3. Suppose -a*y - 3*j + 450 = b, -y + 6*y - 2*j - 425 = 0. What are the prime factors of y?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.918359mg in micrograms?\nAnswer: 9918.359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o = q - 4, 5*q - 16 = 3*o. Determine s so that -74*s**q + 3*s**3 + 37*s**2 + 9*s + 49*s**2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b = 5*t, 5*t + 24 = -3*b. Let a = 0 - -2. Let r be (a\/(-10))\/((-9)\/45). Sort b, 2, r in descending order.\nAnswer: 2, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 26671\nAnswer: -26671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y + 24*y = 261 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 7. Let v be s(5). Let g = v - -6. Solve -8 = -3*w + 2*m, 0 = -w - 0*w + g*m - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 + 14*t + 5. Let o(d) be the second derivative of d**4\/6 + 3*d**3\/2 + 3*d**2\/2 - 11*d. Give -5*g(n) + 8*o(n).\nAnswer: n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 181 - 119. Suppose p - d = 126. Suppose 0 = -n + g + p, -2*g = 4*n - 322 - 400. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 5*t. Let f be r(-4). Suppose -2 = -w + f. Let z(a) = -a**2 + 9*a - 5. Let u be z(w). Calculate the highest common divisor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*i + 18, 3*i = k + k + 11. Is 1\/2 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111011 (base 3) to base 16\nAnswer: 9ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-50) + 414\/10. Let p = w + -16. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -136.9 + 263882.1.\nAnswer: 263745.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30487345 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 85. Calculate the remainder when 115 is divided by j(-31).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (1 + 0))*-23. Let x(n) = n + 16. Let k be x(-3). Let j = p - k. Solve -2*m = -7*m + j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.73*-2.1\nAnswer: -1.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000014916684 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j = 28*j. Suppose -k - 2*k + 9 = 3*b, j = b - 3*k + 13. What are the prime factors of 1323\/12 + b\/4?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29666\/1141)\/(((-12)\/42)\/((-3)\/(-7))).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2405024\/672 + (2\/21 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2 - 4, 2*a + 16 = 5*v. Suppose v = 24*w - 26*w. Let z(c) = 3*c**2 - 4*c - 3. Let h(f) = f**2 - f - 1. Determine w*z(g) + 4*h(g).\nAnswer: g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 12:42 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*n**4 - 20*n + 12*n + 10*n)*(-n - 4*n + n).\nAnswer: 48*n**5 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.64 + 0.04. Let z = -0.4 + w. Let l = z + 1.0002. What is l rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-12))\/((-6)\/168)*-6. Suppose 0*y + c*y - 336 = 0. Suppose 2*x = -0*x + 6. What is the greatest common divisor of x and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 180.99, 7, -2, -168\/17 in descending order.\nAnswer: 180.99, 7, -2, -168\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (393\/(-3537))\/((-2)\/(-60)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 10*i**2 + 1909*i - 7548. Give l(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(264))\/sqrt(12))\/sqrt(2).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 - 114.33. Let x = 4.67 - v. Sort 2, -1, -6, x in decreasing order.\nAnswer: x, 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/7 and -111\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.99 + -0.01. Let s = 1.98 - -1.02. Let k = s - 2.6. What is the third biggest value in k, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(17) - (sqrt(17) + -4 + sqrt(17)) - sqrt(17)) - 4*sqrt(2448).\nAnswer: -50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -44 + 44. Suppose y = 3*g + 7*g - 490. Let k = 75 - g. Calculate the highest common factor of k and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 15 = 6*y. Solve k - 7 = -p, -y*p = -4*k - p + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 12*m + 34, 0*m - 456 = -3*m + 2*q - 463 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -175*l**4\/3 - 545*l**3\/3 + 308*l**2\/3 + 304*l - 192 = 0. Calculate l.\nAnswer: -3, -12\/7, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + (-975)\/525 + -76?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 77636957, 77636958, 77636959, 77636960?\n\"Answer: r + 77636956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2920742108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + t + 5*t)*(2 - 4*t + t + t) in the form a + d*t**2 + i*t and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 246, 369, 492, 615, 738?\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**4 + t**4 - 3*t**4 + (-1 - 2*t**4 + 1)*(1 + 0 + 0) - 26581*t + 281 - t**4 + 26581*t as g + i*t**3 + o*t**4 + d*t**2 + h*t and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p\/(p*p\/p**(3\/5)))\/p))\/p*p*p**(2\/13)*p*((p*p*p**(-1\/3))\/p*p)**(-7\/5) assuming p is positive.\nAnswer: p**(43\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by -20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 26 + 6 = -3*f, 5*f = 20. Let o be (-4 - t) + -1 + 11. Let l(d) = o*d + 16*d - 29*d. Let j(k) = -6*k**2. Calculate l(j(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -r + 8, -2*r - 13 = -4*c - 9. Sort 5, -2, r, -5, 27 in decreasing order.\nAnswer: 27, 5, r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 10:23 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 11*h + 1227. What is the hundreds digit of v(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.53 - -8.23. Let o = 2 - 3.2. Let v = j + o. What is v rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2945.0001647 + -2945. What is j rounded to six decimal places?\nAnswer: 0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 110 = -2*g - m, -3*m + 3 = 0. What is the remainder when g is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y + 0*y**2 - 1\/6*y**3 - 1\/4*y**4 + 0. What is the second derivative of u(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134133 is divided by 67041.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97655 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8032*g - 6102 wrt g.\nAnswer: 8032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -12*l. Let b be y(3). Let z = 6 + b. Let m be ((-2)\/(-3))\/((-2)\/z). Solve -1 = -3*p - m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 9:04 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8921, -35720, -80399, -142970, -223445, -321836, -438155, -572414?\nAnswer: -724625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07555 and -1.095.\nAnswer: -0.08272725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20344, 20687, 21200, 21883, 22736, 23759, 24952?\n\"Answer: 85*l**2 + 88*l + 20171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -125?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -128 - (-1222 - 51)\/19?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/5 in 3, -0.1, -4, 4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -45*x**3 - 15*x**2 - 2*x + 65. Calculate the remainder when a(-5) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 344304668 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -63, -63, -61, -57?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from ajcqckcaqccckcacqqqe?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -3. Let k be (-16)\/24*(-258)\/f. Let o = k + 70. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 12:46 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*i - 272*i + 140*i - 6421 + 5*i**2 + 6427.\nAnswer: 5*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/363480 and -41\/73320?\nAnswer: 17083560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - d)*(-5 + 2 + 1) + (1 - 3 + 1)*(2*d - 4*d - d) + (2*d - 4*d + 3*d)*(-4 + 5 - 2).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*5\/20*163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -7932\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/4 and (-1)\/(-24)*((-354)\/(-9))\/(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((q\/(q*q\/(q**(1\/4)\/q)))\/q)\/q))**(-1\/9)\/((q**(1\/5)*q)\/q**4) assuming q is positive.\nAnswer: q**(409\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 64. Suppose r*y - y - 6 = 0. Suppose y*f - 36 = w, -4*f - 2 = 2*w - 90. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 61083*s + 122170.\nAnswer: -(s - 61085)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -29. Let x(k) = -k**3 - 7*k**2 - 6*k - 5. Let w be x(-7). Let q = d + w. Solve -3 + q = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuakzukzzuu. What is prob of sequence kzu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1019595 by -74.\nAnswer: 1019595\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*v = 32, q + v + 0*v + 13 = 0. Let t be 42\/q - 4*-1. Which is the fourth smallest value? (a) 0 (b) -1\/3 (c) t (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1700 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2624 and 7744.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 divided by -738?\nAnswer: -199\/738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7151 + 7351. Calculate the smallest common multiple of s and 12.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (2 - (3 + 1))) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 = 0, 506 = -f + 2*x + 2959. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 788158 and 3724?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 5 + 1 + (-14)\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4\/7 + 2*j**3\/7 + 242*j**2\/7 + 130*j = 0.\nAnswer: -7, -5, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168544755 and 280907925.\nAnswer: 842723775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -629 (base 12) to base 8\nAnswer: -1601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -1 - (0 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 14. Let t be l(-12). Solve -t*v + 5*v - 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4322, 8645, 12968?\n\"Answer: 4323*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 1:18 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/18459 and 5\/2051.\nAnswer: 18459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15cd - -13?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 minus 2135?\nAnswer: -2297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-896)\/32 + 439)\/(3\/1)?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*b - 4 = -237*b. Is b smaller than -13\/1097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -890 or -15150\/17?\nAnswer: -15150\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-2 + 4 + -12 - (70 + -72))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 309178.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -161 + 172 - (1 + 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**3 + 11*x**2 - 4*x - 60. Let o(w) = -17*w**3 + 41*w**2 - 15*w - 239. Calculate -3*o(p) + 11*r(p).\nAnswer: -4*p**3 - 2*p**2 + p + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 1 = a, 0 = 5*u - 2*u + a + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*p - 20, z - 35 - 1 = -2*p. Which is smaller: 6 or p?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52852860?\nAnswer: 2, 3, 5, 479, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-28)*1\/(-3)*-2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 53*b**2 - 114*b + 509. Determine g(-55).\nAnswer: 729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(13) + 1 - (2*sqrt(1872))**2 - (5*(sqrt(325) + -1) + sqrt(325))**2) + 5 + -1.\nAnswer: -19211 + 301*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.185 + 5.815. What is the closest to b in 0.5, -1\/7, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4351*d = -1128*d - 109582 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/16 - -47\/240. Let u = -5.3 - -5.3. Let z be ((-4)\/7)\/2 - 0. What is the nearest to z in r, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 - 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5*15\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z - 96 = 576 + 128 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.3504202 - -3.4096427. Let d = w - 6.76. Round d to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19)\/(-2 - 21\/(-9)). Let p = -41 - q. Solve -p = 2*b + 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2971430*-0.2.\nAnswer: 594286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -y - 1. Let h be (y\/(-10))\/((-3)\/120). Let k = -18 - h. Let x(n) = 3*n - 5. Let o(z) = z - 1. Determine k*x(p) + 9*o(p).\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 1 + sqrt(720) + -5)**2.\nAnswer: -192*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 250074.633 - 250175.632951. Let v = -158 + 259. Let p = q + v. What is p rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 13. Suppose 20*l - 14*l = -126. Let w be -1 + l\/9 - -4. Which is the nearest to 0.3? (a) 1\/6 (b) u (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 41\/4 - 2\/8. Let h be ((-2)\/2)\/(-2 - 38\/6 - -6). What is the closest to 0.1 in 3, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17444817*y**3 + 2212005*y - 13.\nAnswer: -104668902*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 5 + -2 + -1. Solve -r*z + 4*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5669 - 14305 - 3042 = 274*l for l.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10782*v**2 - 21562*v**2 + 10776*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1111001101010?\nAnswer: 1111001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -820 - -8179\/10. Find the common denominator of 3\/28 and z.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 15*a**3 + 96144*a**2 - 3033525*a + 1198026 = 0.\nAnswer: -6441, 2\/5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 121 + 54. Let x = -181\/5 + v. Find the common denominator of x and -13*-1*(-2)\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 5. Let v be a(7). Let c be (v\/6)\/((-2)\/354). Suppose 3*x - 70 = 2*f, -5*x + 3*f = c - 177. 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 44*l = -3*l - 94. Let m be (-2)\/8 + (-18)\/(-8). Let h(k) = -2 - 5*k - m + 0 + 6. Determine h(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -104*k**3 - 271*k**3 - 273*k**3 + (k**2 + 2*k**3 - k**2)*(0 - 2 + 0).\nAnswer: -652*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/30*(-5)\/(-150))\/((-1)\/4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + (51 - 36) - -17.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 4, 650 in descending order.\nAnswer: 650, 4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6*(-3 - (-6)\/((-24)\/(-10))). Which is smaller: x or 434?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*h + 6*h + 4*h**3 + 20*h**3 + 7*h to o*h + v*h**3 + d + i*h**2 and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 56.00471 litres?\nAnswer: 56004.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/(-280)*(-25536)\/1368?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5257089\/7 or 751014?\nAnswer: 751014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2530 and 12?\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p - 9*p - 10*p + 45*p - 12*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 - 27?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1100) + -2.\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10643 + -4086. What are the prime factors of o?\nAnswer: 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4730211 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c. Suppose 3*l - 18741 = -4*n + n, -2*n - l = -12496. Let d(y) = 3 - n*y + 6410*y - 3. What is d(r(u))?\nAnswer: -322*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -63.\nAnswer: -19\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -1\/231 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.78 - -1.88. Let p = u - 5.1. What is the nearest to -2\/7 in 0, p, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/111371 and 70\/745329.\nAnswer: 9689277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 7*v = -304. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -18\/4523893?\nAnswer: -18\/4523893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5828643071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70*13\/(91\/2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19069 + -19066. Solve j - l = 2*n, -4*j - 7 = -3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2339 + -1502. What are the prime factors of r?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -20*b**4 + 7032*b**3 - 17692*b**2 - 159432*b + 100512 = 0.\nAnswer: -4, 3\/5, 6, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.03284, -3, -2\/11, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*w - 63*w + 117 = 0. What is the tens digit of (w\/(-2))\/((-78)\/16 + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 3*w - 3*w)*(w**3 - 5*w**2 + 5*w**2) - 3902*w - 353*w**4 + 3902*w.\nAnswer: -351*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 0 + 0*n**3 + 0*n**5 - 3\/2*n**2 + 0*n**4 + n - 1\/15*n**6. Find the first derivative of i(r) wrt r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 109436843, 109436842, 109436841, 109436840, 109436839, 109436838?\n\"Answer: -t + 109436844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3250057?\nAnswer: 127, 157, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70? (a) 9 (b) -1.16 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 2. Suppose 2*g = 3*g - u. Let v = g - 2. Solve v*d - 3*y = 22, d + 5*y + 10 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 801.5943 years?\nAnswer: 9619.1316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**17*t**(7\/6)*t**0*(t\/(t**(1\/8)\/t)*t)\/t)**(-16) assuming t is positive.\nAnswer: t**(-1058\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*5*(-2 + (1*sqrt(684)*-5)**2 + 4).\nAnswer: -513065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 28 = 5*s. Let m = 395 + -265. Suppose 5*x + 5*t = 40 + m, -2*t = 3*x - 103. What is the greatest common divisor of x and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394287670.\nAnswer: 2, 5, 7, 53, 106277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * 158\nAnswer: -14.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -7. Suppose k = -3*f - 9. Let u be (-16)\/(-1 + f - -3). Solve q = -3*q + u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -44, -7\/9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2 - 18 = 0, 4*c - 2*w = 42. Suppose 5*r = 3*k - 25, 3*k + 3*r - c = 20. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28524288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -151512*c + 75748*c + 75759*c. Let u(v) = -1090*v + 1. Determine u(z(d)).\nAnswer: 5450*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7467 (b) 18 (c) 16 (d) -4\/7 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 9*w**2 + 3*w**3 + 5 + 8*w**2 to the form c*w + f + q*w**2 + i*w**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/(1\/6). List the prime factors of 114*1*(a + 3)\/(-6).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 11*b**2 + 5*b - 18. Let h(r) = -r + 19. Let x be h(9). Let q be i(x). Let a = q - 81. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42317d (base 14) in base 8?\nAnswer: -10420373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -250346725 + -0.1\nAnswer: -250346725.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154 - 143. Factor -23 + 6*w**3 - 13 - 5*w**3 + 24*w + f*w**2.\nAnswer: (w - 1)*(w + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 101694 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 8*m + 16314 = 4*b, -4*b + m = -16311. Let f = 2460 + b. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 25 = 7*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 4 - 4)*(1392*c**3 + 235*c**3 - 700*c**3) + (-2 + 2 - 2*c**2)*(-1 + 1 + 2*c**3).\nAnswer: -1858*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 783 and 41.\nAnswer: 32103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q - 2*q + 3*q)*(2*q - q - 2*q) + (-2*q + q + 2*q)*(783 - 505*q - 783) to the form d*q + v + a*q**2 and give a.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**7\/21 - q**6 + 2*q**5 + 10*q**4 - 64*q**3\/3 + 1107*q. Find a, given that z(a) = 0.\nAnswer: -16, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 638b (base 13) in base 14?\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 + 6 - (7 + 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 15 + 5)*(39 - 73 + 35)*(-3*y + 5*y + 0*y)*(2 + 1 - 21*y + 19*y) to the form p + w*y + i*y**2 and give i.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 x, and 1 a when three letters picked without replacement from axwahwwamawaxuxwxhaa?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14928, 14948, 14996, 15084, 15224?\nAnswer: 15428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v**3 - 3*v + 5. Let z be (-7 - -7)\/(3 - 2). Suppose 0*p + 16*p - 80 = z. Let f(m) = 22*m**3 - 10*m + 16. What is p*f(b) - 16*i(b)?\nAnswer: -2*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 + 8 - 14)*((14 - t - 14)*(-2 - 3 + 9) - 3*t - t - t).\nAnswer: -414*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 4*a - 19. What is the highest common divisor of a and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 75.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*m = 50, 3*m - 51 = -2*a - a. What is the highest common divisor of a and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80640 = -8*m - 43*m + 11*m. Is m a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2*w + 21 = 0, 55 - 64 = 3*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Let x be 4 + 0 + l + -1. Let w be (-2)\/10 + 4\/x. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 1. Let w(y) = 8*y**2 + 3. Let f = -41 + -54. Let c = f + 98. Determine c*v(r) - w(r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -12*a**5 - 23*a**4 + a**3 + 19*a**2 + 13*a + 2. Let o(r) = -r**3 + r**2. Let h(c) = -5*k(c) - 10*o(c). Determine u so that h(u) = 0.\nAnswer: -1, -2\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10*o**2 - 103*o - 88. Is p(37) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014649 rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294094 at most as big as 1294095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 17 + 11 - 65 + 10 + 8*s in the form y + q*s and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - -69. Let l be (-1*1 - -4) + p\/(-23). Do l and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 60, 74, 110, 180, 296?\n\"Answer: 2*v**3 - v**2 + 3*v + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 13. Let a(l) = 9*l - 1. Let w(f) = -14*f + 2. What is v*a(c) + 5*w(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231874 divided by 607.\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 7. Suppose q - 2*a + x = 5, -4*a = q - 5. Solve -4*n + q - 13 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169776.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(-115) - 39*19\/60) + 12.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3 = 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:40 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -289.1 - -278. Let b = o + 13.1. Sort -5, 4, b.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -20.3\nAnswer: -1.421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5022, -4293, -3590, -2913, -2262, -1637?\nAnswer: -1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (sqrt(891) - (sqrt(891) + -2*sqrt(891))**2) - sqrt(11))*1*2.\nAnswer: -2*sqrt(11) + 1782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 3*c - 15, 12*c + 8 = -4*n + 10*c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675.2 rounded to the nearest 10?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 15 - (0 + -11)*(-18 + 11)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-600)\/90)\/((-15)\/54*3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(147424*h**2 - 146943*h**2 + 0 + 3).\nAnswer: -962*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2 (c) 4 (d) -6 (e) 0.033 (f) 0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-2*sqrt(90) + sqrt(90) - sqrt(90) - sqrt(90))\/sqrt(6))\/(2*sqrt(180)) + (2 + sqrt(75)*-1)*-4)**2.\nAnswer: -474*sqrt(3) + 21027\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 207 times -18299\nAnswer: -3787893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 4*p = -12. Solve 0 = -4*w - 5*o - 16, 5*w = -p*o - 2*o - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 + d - 1. Let u be z(1). Suppose 0 = u*s, -3*a + 2*s - 8 = a. Let n be a + (6 - 3) + 16. Solve 5*x + 3 + n = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064510 divided by -21?\nAnswer: -98310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -v - 72. Suppose 21*k - 19*k = v. Solve -4*o = -k - 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 52 + 38, 3*h - 23540 = 2*l. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-4\/11)*s)\/s**(-18\/7)*((s*s**(-3\/14))\/s)\/((s**(-2\/3)*s)\/s))**(-32\/3) assuming s is positive.\nAnswer: s**(-34448\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-3)*(1881\/(-40755))\/((-6)\/(-10))?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 10 = -2*i, b + 5*i = -21. Let v(f) = -5*f - 4 + b. Let q(a) = -4*a - a + 4*a. Calculate q(v(u)).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1042403003 - 0?\nAnswer: 1042403003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 2. Let h = -6 - a. Find the third derivative of 3*r**2 + 2*r**3 - 4*r**h - r**3 wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 905.2811 minutes?\nAnswer: 54316866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3321000 rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.5 (c) 0 (d) 0.2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -4. Let o be ((-686)\/20)\/((-4)\/(-10)). Let x = -85 - o. Sort x, n, -4\/5.\nAnswer: -4\/5, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 6*p**2 - p - 6. Let h = -31 - -53. Suppose 4*g + h = -2. Calculate m(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-28)\/(-8))\/7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 734.61 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 4) + 5 + -4 - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2612554 and -267633.\nAnswer: 2344921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 21*p - 103 = 13*p - 7*p + 16*p, 64 = -16*p for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 44*k + 9. Let t(l) = 96*l + 20. Let p(c) = 13*n(c) - 6*t(c). Determine p(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128 - -5) + (96 + -90 - 42)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -62537?\nAnswer: 18761.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 0, 3\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*n - 43. What is the remainder when 70 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 433\/136 + 13\/68. Let v = m - 151\/40. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 1)\/(6*4\/(-36)). Suppose -7*q = m*q - 30. Solve 5*z = -q*z + 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 1612*s - 19599. Determine x(12).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = p - 3*n, -n = -1 - 3. Let j = -11 + 17. What is the smallest common multiple of p and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = m - 6, 6 = m + 29*q - 30*q. Solve -5*p - x - 2 = 0, -3*p - m = -21*x + 20*x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - 155. Let j(o) = 10*o**2. Calculate i(j(v)).\nAnswer: 300*v**4 - 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -249, -558, -991, -1548, -2229?\nAnswer: -3034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**5\/12 + 5*v**4\/12 - 5*v**3\/2 + 42*v**2. Determine q so that s(q) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3027 + -157409\/52. Are n and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1280.385 and -250515462.\nAnswer: -250516742.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/274 + -14649\/2740. What is the common denominator of 354\/36*6\/2 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 731573045 to the nearest integer?\nAnswer: 27048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 2168407439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3902*f = -52503 + 5679 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2141 - -2153. Solve -3 = -m*q - 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -20. Let q = -5 + s. Suppose -q*x - 24 = -4*x. Solve 0*a - 4*a = -5*z + x, -4*a - 12 = 4*z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3658627*k**4 + 15*k**2 + 655207659?\nAnswer: 14634508*k**3 + 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -455 + 1359 - 455 + 25*q**2 + 2*q - 456 as g*q**2 + h*q + c and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, 1, -2\/9, 2871?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 7:48 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -23.\nAnswer: -23, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -360293 + 997170. Let k = v - 636877.54999912. Let q = k + 0.55. What is q rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 - 95.9999894. What is w rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 6*v**2 + 5*v + 3. Let a be o(5). Suppose 3*q - q + 1 = a*b, 2 = -2*b + 2*q. Let j(c) = 5 + 4*c - b - 2. Determine j(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 985210?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14571 - 6018. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + c - 1. Let d(k) = 3*k**3 - k**2 - 7*k + 32. Calculate d(o) + 5*u(o).\nAnswer: -2*o**3 - o**2 - 2*o + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6708*i - 3*z = 6710*i - 87, i + 4*z - 41 = 0 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 408 and 3533960.\nAnswer: 10601880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 - 1)*(-2 + 2 - 3*w) + (-4*w + 6*w + 2*w)*(2 + 2 - 3) + 2*w + 10*w - 4*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -13. Suppose n*u = 6, -8 = y - 4*u + 5*u. What is the remainder when 1 - y - (-12)\/6 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, 1613, 23 in increasing order.\nAnswer: 23, 115, 1613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coha when four letters picked without replacement from {o: 11, h: 2, w: 1, a: 1, c: 1}.\nAnswer: 11\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/22144837 and -103\/72474012?\nAnswer: 797214132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuzpuuuup. What is prob of picking 2 p?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 16*u - 13. Let o be y(-11). Suppose 0 = 8*k - 17*k + o. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*d - 3*c, -5*c + 6 = -4*d + 6*d. Let a = 7 - 4. Solve -5*q + 3*u = -a, d*u = -9*q + 4*q + 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (-7 - -11 - 4). Calculate the remainder when 190 is divided by d + (3 + -35)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o - 4. Let k(n) = n**3 - n**2 - n + 4. Let w be k(0). What is v(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 6:37 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -14*o + 4. Let l be 2 + (-2)\/4*-2. Suppose 2*b - l = 1. Sort -3, o, b.\nAnswer: -3, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -323378, -25, 1 in descending order.\nAnswer: 1, -25, -323378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1945 - 37*k**3 - 39*k**3 + 77*k**3 - 15165.\nAnswer: k**3 - 17110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**4\/12 + t**3\/3 + t**2. Let p = -172 - -102. Let w be (-1)\/(-5) + p\/(-25). Determine k(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18621738 by 29142.\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 2. Let b(u) = 5*u - 11. Let p(l) = -4*b(l) + 22*x(l). Let q(t) = -5*t**2 + 0*t**2 + t**2. Calculate q(p(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-512)\/78400*-35)\/(2\/(-3)*(-12)\/20).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12966288 is divided by 48?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t. Let z(f) be the third derivative of 17*f**6\/720 - f**5\/120 + 29*f**4\/24 - 6*f**2. Let v(g) be the second derivative of z(g). Determine k(v(m)).\nAnswer: 34*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 i when three letters picked without replacement from ssisssssi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 12558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 230, 151, 48, -73, -206, -345, -484, -617?\n\"Answer: g**3 - 18*g**2 - 32*g + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*d - 22*d - 72*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -15*d + 77. Let g be a(5). Solve -g*x = 3*x - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -11*m**7\/1260 + m**6\/720 + m**5\/120 - 4*m**4 - 8*m**2 + 2. Let f(p) be the second derivative of z(p). Determine f(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5020 - 90209\/18. What is the common denominator of -23\/108 and f?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/5 - 451411*h**2\/5 - 50942747024*h\/5 + 50943198436\/5.\nAnswer: -(h - 1)*(h + 225706)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*c + 2*g, -c - 4*c - g = 25 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 865 * 0.01.\nAnswer: 8.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137903721.\nAnswer: 3, 53, 867319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -2 - (2 + -8)) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-2) + 6)\/(1\/11). Solve 0 = -b - 4 + 1, 4*v - g = b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15131 - 2?\nAnswer: 15127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-2\/13)*f)*f\/(f*f**(-2\/5)*f*f))\/((f*f**0)\/((f**(-2\/5)\/f)\/f))*(f\/(f*f**0))**(-1\/20)*(f*(f*f*f**(2\/7))\/f*f)**(-3\/16) assuming f is positive.\nAnswer: f**(-7953\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-6))\/((-4)\/2604). Which is bigger: -650 or j?\nAnswer: -650","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*((-3)\/(-2) + -2). Let p(q) = 2*q. Let w(a) = 3*a. Let b(f) = c*w(f) + 2*p(f). Let i(o) = 2*o. Calculate b(i(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 5\/(60\/72)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/7, -220\/63, 0.06, -0.4, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 2*b**2 - 2*b + 1. Let u(d) = -5*d**3 - 6*d**2 - 6*d + 32. Let w(p) = 3*r(p) - u(p). Let c(y) = -y**3 + 1. Determine 6*c(a) + w(a).\nAnswer: 2*a**3 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -278682 - 5?\nAnswer: -278687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -66558.\nAnswer: -66554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 4*q + v, -3*v = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - o**3 + o**3 + (0*o + 0*o + o**2)*(-2*o + 5*o - o) + 9*o**3 - 7*o**3 + 9*o**3 + 3*o**3 - 4 + 4 - 2*o**3 + 2*o**3 - o**3.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11362 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m**2 + 54*m + 64. Let q(h) = -2*h**2 - 18*h - 21. Let r(u) = -5*c(u) - 16*q(u). Let t be r(-8). Solve t = 4*a + 2*p - 0 + 4, 3*a - 5*p = 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -48*q**4 + 118931640*q**3 - 178397379*q**2 + 66899010*q - 7433223 = 0?\nAnswer: 1\/4, 1, 2477741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1280 - -501. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204\/33 + -6 + 0.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -360\/127 - -2266\/889. What is the closest to m in 0, -893, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26595201 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 662, 1323, 1986, 2651?\nAnswer: 3318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -989, -1015, -1029, -1031, -1021?\n\"Answer: 6*s**2 - 44*s - 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*g + 3*g - 5*g to y*g + c and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - p + 3*p + 4 = 0, 4*v + p = 33. Let i = v + -5. What is the second smallest value in i, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + d**3 + (d - 11*d - 4*d)*(-3*d**2 - d**2 + 2*d**2))*(753 - 421 - 71).\nAnswer: 7569*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -616*n*u**3 + 14790*n*u**2 + 19150419*n with respect to u.\nAnswer: -1848*n*u**2 + 29580*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 475 + -463. Suppose 0 = -y*d + 634 + 218. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20929\/9 - -2333. What is the common denominator of d and -53\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*a = -112, -2*a = -2*h - 0*a + 44. Suppose z + h = 3*v - 68, -126 = -4*v + 2*z. What is the highest common factor of v and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -204 - 145 - 138 - 4*a + 2*a to t*a + m and give m.\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*q - 20 = -2*a, a + 5*q = -8. Suppose -3*g = -a*g + 2*f, 3*g - 2*f = 16. Solve -6 - g = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trvrkvssrrtsvtst. What is prob of picking 1 s and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 108 + 46 = 0. Let w = -26 - v. Let r(a) be the second derivative of a**3 - 2*a**2 + 7*a. Let c(x) = x - 1. Give w*c(t) + r(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 9 - 16 - 154*j to i*j + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*k + 20. Sort -12, k, -5 in increasing order.\nAnswer: -12, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*o + 30*o - 111 - 37*o + 27*o - 61 - 36*o.\nAnswer: o - 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5\/13 - 504*l**4\/13 + 40200*l**3\/13 - 824384*l**2\/13 - 14682624*l\/13 - 49065984\/13.\nAnswer: 2*(l - 88)**3*(l + 6)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 20*u = 20. Which is the nearest to u? (a) -3\/7 (b) 36 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -b, 5*b = 4*z - 20. Suppose 3*i = -z + 60. Let f be (1799\/18 - (-12)\/(-72)) + (-2)\/(-9). Calculate the highest common divisor of f and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55*n**5*w**2 - n**3*w**2 + 4*n*w - 17*w**2 wrt n.\nAnswer: 1100*n**3*w**2 - 6*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/3))**(-36)\/((i\/((i*i**(-2\/17))\/i))\/i*i**6))\/(((i**(1\/4)*i)\/i**0)\/(i**2*i\/(i**(-3\/4)\/i*i))) assuming i is positive.\nAnswer: i**(-1755\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w + 6. Give s(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = p - 16*s - 4, 3*p = 33055*s - 33053*s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 6:59 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (sqrt(931)*5 - sqrt(931))**2) - (3*1*sqrt(931) + -6*(2 + sqrt(931)))**2.\nAnswer: -83018 - 504*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u + 1\/18*u**4 + 0 + 12*u**2 - 20\/9*u**3. Factor t(c).\nAnswer: 2*(c - 18)*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-397215)\/11543 + (17 - 1)?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3\/11, 1.7, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2262*b - 7822 - 10688 = -2344*b + 1521*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**4\/2 - 298*h**3\/3 + 5475*h**2 + 11250*h + 4888. Let k(v) = 0. Calculate v.\nAnswer: -1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7164.998 millilitres in litres?\nAnswer: 7.164998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 23, -3, -2 in ascending order.\nAnswer: -3, -2, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -144 + 7.092648825296.\nAnswer: -136.907351174704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1216 = -3*v, -3*v + 1201 = -3*q + 5*q. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**2*u**4 + 105*b**2*u**3 + 3*b**2 + 95*b*u**2 wrt u?\nAnswer: -24*b**2*u + 630*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/((-54)\/(-168)))\/(2\/(-3)). Sort 1\/2, w, -5 in ascending order.\nAnswer: -5, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 1) + (-321 - -328) + 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l - 5*m = 50, 0 = l - 5*m - 10. Solve -c - 5*t + 26 = l, 2*t = -5*c + 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 5:36 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2154 - -476.\nAnswer: -1678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -10, 105 in increasing order.\nAnswer: -10, 10, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1320 (base 4) to base 5.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 1)\/(42\/(-42)). Solve l*n + 5 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r + 2184 = 6*r - 0*r for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 60*j**2 - 33*j**2 - 26*j**2. Let s(h) = -18*h + 9. Calculate s(x(l)).\nAnswer: -18*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*j - 18*j. Suppose 3*h + 2*p + 801 = 2110, 4*p + 16 = j. List the prime factors of h.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 426320*b**3 + 13217088*b**2 + 181044*b\/5 + 124\/5 = 0.\nAnswer: -31, -1\/730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*m - 2138 = 0, m - 1951 = -x + 203. What is the greatest common factor of x and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -11100011?\nAnswer: 11100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**3 + 8*c**2 - 21*c - 46. Let w be h(-2). Let a(i) = -6*i - 6. Determine a(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*t - 4*t. Suppose s - 4*s - t = 0, 0 = 2*l - 2*s - 8. Suppose l = -c - 0*c + 358. What is c rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-2))\/(1\/(-2)). Suppose -3*b + 3*q + 2*q = -7, -2*b + q = 0. Let s = x + b. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312, 1235, 2772, 4923?\nAnswer: 7688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7557327997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1608473.\nAnswer: 1608473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**2 - 2*d**2 + 0*d**2 + (3 - 3 - 2)*(0*d**2 + d**2 + 0*d**2))*(-11 - 9 + 0) to the form t + o*d**2 + k*d and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2592.4878 minutes in days?\nAnswer: 1.80033875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -367 - -376. Calculate the highest common divisor of 11 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/1085 and 109\/98.\nAnswer: 15190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*g - 10. Let i(r) = -3*r - 33. Let v be i(-17). Suppose -5*x = -38 + v. What is the least common multiple of x and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 14) to base 8\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opv when three letters picked without replacement from oozpznvn.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 837 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45878 + -26420. Let p = 45511 - v. Suppose -7*d + p = 6012. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 20*s**2 + 21*s + 29. Let b be l(-21). Suppose b*f - 32*f = -1116. List the prime factors of f.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 a when two letters picked without replacement from {h: 1, c: 2, a: 3, n: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**4 + 120*f**3 - 1108*f**2 + 3120*f - 2704 = 0.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - y + 3 = 0, -5*l + l - 4 = 4*y. Let f(m) = 953*m - 9. Let q be f(1). Let n be (q\/124)\/(-4) + 2\/1. Which is smaller: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 6*v - 8. Let a be h(-7). Let s(f) = -f - 1. Let b be s(a). Is b >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46463 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: Let s(p) = p**2. Let x(w) = 17 - 3*w - 2*w - 17. Determine s(x(c)).\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14251*q**6 + 1365*q**2 + 25499*q**6 - 13649*q**6 wrt q.\nAnswer: -288120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-6)*6\/(-5). Let y be (l\/10)\/(1\/5). Let i be (-61 - -41)*(-2)\/(-8). Sort y, 5, i in ascending order.\nAnswer: i, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 smaller than 14.7983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15452?\nAnswer: 2, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3144 divided by -5980.\nAnswer: 786\/1495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -2697574.\nAnswer: 3\/2697574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*sqrt(77)*1 - (sqrt(77) - (sqrt(77) - (sqrt(77) + (-3*2*sqrt(77) - sqrt(77))))))\/(4*(sqrt(84)*2)\/sqrt(12)).\nAnswer: -5 + 7*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2. Suppose -37 = -9*r + 4*r - 3*d, 5*r + 4*d = 41. Let i be r + (-6)\/3 - 2. Let j(p) = -p**2. What is i*l(t) + 6*j(t)?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -333, 22, 3, -2\/9 in decreasing order.\nAnswer: 22, 3, -2\/9, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -345 + 352. Let t be 5 - (-10 - 7\/g). Is t less than or equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b*n*s + 559262*b*s**4 + 4*b*s - 81*b - 228*n*s**4 + 129*n*s - 29*n - 4 wrt s?\nAnswer: 6711144*b*s**2 - 2736*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 8254 - 20475 = 0. Which is greater: r or 1112?\nAnswer: 1112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.08, -69, 590, 5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1392 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2508526803 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 1010101101?\nAnswer: -1010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29932*x + 9108 = 29518*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (315\/(-36) + (-2)\/8)*-17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13103\/98 or 2\/15?\nAnswer: -13103\/98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 663574710?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 2\/17, -0.19, 0.091?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(600) + -2*1*sqrt(600) + sqrt(600))\/sqrt(192) + 0))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 + -69. Suppose y*q + 2*d - 408 = q, 2*q = 5*d + 387. Suppose 5*a - 335 = -3*p, -a - 2*a = p - q. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 79, 85, 79, 55, 7?\n\"Answer: -g**3 + 13*g + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 12*f = -2250. Let p = f + 367. Calculate the highest common divisor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 338532\/23 and 14720 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 57\/18 + (-1)\/6. Suppose 6*h = l*h + 6. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l = -40. Let a(v) be the second derivative of -v**3\/6 - 9*v**2\/2 + 153*v + 4. What is a(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = 0, -4*c + 13*i - 8*i + 12315 = 0. Calculate the greatest common divisor of 77 and c.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -9, x = 3*j + 5*x - 4362. What is j rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5256054 or 5256053?\nAnswer: 5256053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/5*u**5 + 9\/5*u - 9\/5*u**4 - 6\/5*u**3 + 3\/5 + 6\/5*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-522)\/2030 + 2\/5)*-80. Which is the third smallest value? (a) 1\/6 (b) l (c) -0.3 (d) 0.5 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4. Suppose -3*c + 3 = -2*c. Suppose 3*d = -0*d - c. Which is bigger: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 546, 757, 632, 165, -650, -1819?\n\"Answer: -t**3 - 162*t**2 + 704*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (135\/(-126))\/15*1*12\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 147 - 49017318206.\nAnswer: -49017318059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + 2*z**2)*(4*z**2 + 4*z - 4*z + (1 - z - 1)*(-2*z + z + 3*z) - z + 9*z**2 + z).\nAnswer: 22*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2\/19))\/(m**(-19\/3)\/m))**(1\/27))**(10\/7) assuming m is positive.\nAnswer: m**(670\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 25*j**2 - 6*j**2 - 13*j**2 + 3*j + (-3 + 0 + 2)*(-j + j + j**2) + 5*j**2 - 10 + 10.\nAnswer: 10*j**2 + 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 11 = 2*j. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*w - 4*w - 2*w)*(2 + 1 - 4) - w - 2*w + 2*w - 2 + 2 + w)*(-4*w**3 - 5*w**3 + 0*w**3).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 169*q**2 - 22578*q**6 + 215*q**2 + 29*q**4 + 22632*q**6 wrt q.\nAnswer: 6480*q**3 + 696*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v + 3. Let l(q) = 4*q + 1. Give 7*l(b) - 4*x(b).\nAnswer: -4*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2617285 divided by 22759.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37355 and 6989.\nAnswer: 1083295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4518071179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7578 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**3\/6 - 3*p**2 + 82*p. Give f(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + z + 1. Let t(o) = -6*o**2 - 3*o - 4. What is -5*n(r) - t(r)?\nAnswer: r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**3 + 4*d**3 + 2*d**3)*(-685 + 27*d**2 + 19*d**2 + 685).\nAnswer: 46*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let o = 0.222 + 0.078. Let w = -12 + 13. Which is the closest to w? (a) l (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -27010.\nAnswer: 13505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*z - 350 = 102*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 105, 97?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1693 + 1606. Put g, 0, -0.3 in ascending order.\nAnswer: g, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*t - 16928 = -2979 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 110*p**2. Let a(d) = 2048*d - 2048*d - d**2. Give u(a(x)).\nAnswer: 110*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 24. Suppose 18*o - t*o = 139. Let v = o + -63. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*q = 18, 3*q = 4*o - o. Suppose -o*h + 3 + 3 = 0. Suppose w - 51 = -h*c - 2*c, -4*c + 31 = 5*w. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**(1\/3)\/q)))**35*((q\/((q**(-3)*q*q)\/q))\/q*q)**(8\/7) assuming q is positive.\nAnswer: q**(-418\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 5, p: 1, w: 3, g: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6854*w**4 - 24*w**3 - w**2 + 8*w + 259678 wrt w?\nAnswer: -82248*w**2 - 144*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9058 - 9031. Solve w*d - 73*d = -230 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 120 = -88. Suppose 6*w + 4 = 10*w, z*j - 60 = 4*w. Suppose -188 = -5*i + i. Calculate the remainder when i is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let t(a) be the first derivative of -38*a**3\/3 - 2*a + 46. Give h(t(y)).\nAnswer: -38*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -13. Suppose u*k + 71 = f, 0*f - 4*f = -k - 256. Let b = 56 + f. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3776.868 kilometers?\nAnswer: 3776868000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*x**4 - 10*x**3 + 5*x**2 - 149*x + 2278827 wrt x?\nAnswer: 68*x**3 - 30*x**2 + 10*x - 149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.5, -0.13532?\nAnswer: -0.13532","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*p + 130, 3*c - 2*p = -0*p + 475. Calculate the highest common factor of 31 and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*p**2 + 1722 - 3439 + 1722 - 3*p**4 as k*p**2 + q + m*p + z*p**3 + g*p**4 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 11*q + 1017 = 0. What is the remainder when q is divided by 2 - (1 + 0) - -37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12820 + 3*l + 12754 - 25574.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*n + 24 = -0*a, 0 = -2*a - 3*n + 23. Calculate the remainder when 37 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 252 - 252. Suppose 4*r + 1 - 1 = k. Which is greater: r or -0.11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*t + 94 = 14 - 280. Let h be (10\/(-4))\/((-2)\/4). Solve 3 = h*a + t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i = 85 - 157 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) 205\/6 (c) 5 (d) 0.26 (e) 2\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923 greater than -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2835 - 5678 + 14*o**2 + 16*o**2 + 4*o**2 + 2843.\nAnswer: 34*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1397 + 2039. Find the second derivative of 70*k**5 - 3 + g*k - 638*k + 3 - 4 wrt k.\nAnswer: 1400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - 5918\/176) + -11?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 183048 and 19749.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z - 8. Let k be w(-2). Let q = k - -5. Solve 5*c - 35 = 3*r, -3*c = q*r - 4*r - 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 12*c + 1. Let g(j) = 3*j**2 + 4*j - 8. Let l be g(2). Let h be n(l). Let r(u) = -u - 9*u + u + 8*u + h. Give r(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -111*t + 87. Let v(y) = 4*y + 1. Let j(i) = -6*v(i) + x(i). Is 28 a factor of j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24331, -24329, -24327, -24325, -24323?\nAnswer: -24321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -530, -1699, -3532, -6035, -9214, -13075, -17624?\nAnswer: -22867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8085 and 31164?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722711?\nAnswer: 11, 65701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1194*i**2 + 725*i**3 + 478*i**3 - 302*i**3 - 1234*i**2 wrt i.\nAnswer: 5406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 - 2*g + 2. Let i be c(-4). Let o(x) = -x**2 + 12*x - 12. Let q be o(10). Calculate the common denominator of 1\/8 and (2 + -4)*i\/q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 501*o**3 - 51030*o**2 + 7805700*o + 1194669000.\nAnswer: -(o - 129)*(o + 210)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (472\/3894)\/(((-4)\/8)\/(6\/4)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) 1218.87 (c) -0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.51 - 0.81. Which is the nearest to -1\/3? (a) 4 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 473570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -659*t + 48017 = 601*t - 7423 for t.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69b - -3b46?\nAnswer: 4625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2 = 3*s + 25, -3*p + 5 = s. Solve -2*b + 2 = r + 3, -p*r = -b + 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.37741 hours to minutes.\nAnswer: 202.6446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z + 50*z + 234 = 0. Let q(x) = -5*x - 18. Determine q(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 23*t**2 - t + 27. Let d(g) = 8*g**2 + 9. Let p(w) = -11*d(w) + 4*z(w). What are the prime factors of p(3)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130 (base 5) in base 9?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 = 4*o, 8 = 5*g - 2*o + 33. Let q = 27 - 14. Let i = q - 6. What is the smallest value in i, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 171*i**2 - 12*i**4 + 454*i + 9*i**4 - 154*i + 156 + 25*i**3.\nAnswer: -3*(i - 13)*(i + 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/5 and 7\/175161671.\nAnswer: 875808355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 2620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3890626 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -19191 greater than -19191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 i when four letters picked without replacement from {i: 1, f: 4, q: 8, a: 5}?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556253*o**2 - 685837*o**2 + 338706*o**2.\nAnswer: -903384*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.1 + -1.1. Let i = 4.89 - -0.11. What is the nearest to 0.3 in x, i, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1326 - -669. Let o = -656.9999281 - t. What is o rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/10))**(-13)*(i**(-6))**(-1\/27) assuming i is positive.\nAnswer: i**(137\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3059155 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70136397 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 5, -5, 65, 2, 28 in decreasing order.\nAnswer: 65, 28, 5, 3, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3439 - -36.6561. Which is the second biggest value? (a) 0.9 (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2288.659m?\nAnswer: 2288659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1893*q + 102142 - 37780 = 0 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 608\/(-64)*4996\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 11. Let r(q) = -q - 11. Let k(b) = 2*m(b) - 3*r(b). Let o be k(-8). Find z such that -6*z**3 - 3*z**4 - 3*z**5 + 3*z**3 - o*z**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 8*j**2 - 7*j - 19. Let v be s(9). Let y = -2 + v. Let r = y - -12. Let p(c) = -c + 12. What is p(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -28712987 (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/3 - 998*x**4\/3 - 109772*x**3\/3 + 682744*x**2\/3 - 1381616*x\/3 + 926464\/3 = 0 for x.\nAnswer: -329, -176, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 211269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -21*u**3 + 2*u**2 + 9*u + 11. Let l(a) = 11*a**3 - a**2 - 5*a - 6. Let k be (-260)\/26*3\/5. Give k*j(m) - 11*l(m).\nAnswer: 5*m**3 - m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 p when four letters picked without replacement from {g: 6, p: 10, y: 1}.\nAnswer: 36\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 48, 78, 114, 156, 204, 258?\n\"Answer: 3*n**2 + 21*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1273\/136 + -174\/17. Sort 2\/13, c, 3\/2 in decreasing order.\nAnswer: 3\/2, 2\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 93*c + 13015. What are the prime factors of h(0)?\nAnswer: 5, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -516, -2\/9, -2\/695, 0.3, 3\/5 in ascending order.\nAnswer: -516, -2\/9, -2\/695, 0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**5 + 1794*c**4 + 7180*c**2 + 8*c - 24. Let l(w) = -2*w**4 + w**2 - w + 3. Let b(y) = 8*l(y) + x(y). Find the third derivative of b(g) wrt g.\nAnswer: 120*g**2 + 42672*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/10 and 67\/69968684.\nAnswer: 349843420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 10:22 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 162\/367, 1 in descending order.\nAnswer: 1, 162\/367, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 299\/5, 3 in ascending order.\nAnswer: 2, 3, 299\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**2\/2 - 2. Let n(l) = 8*l**2 - 3*l**2 - 2*l**2 - 15*l**2. What is i(n(v))?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*p - 84 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.78 rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -222748.1754 rounded to the nearest ten?\nAnswer: -222750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 - -72. Let g = 65 + k. Put -0.06, -0.02, -0.1, g in increasing order.\nAnswer: g, -0.1, -0.06, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30444877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6796 is divided by 561.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1948 divided by 27677\nAnswer: -1948\/27677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.350181 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 - 6. Let i(j) be the second derivative of -j**3\/6 + 426*j. Determine i(s(u)).\nAnswer: 3*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 - -202\/3. Let n = -7 + 6.7. Let b = n - -0.1. What is the third biggest value in -4\/7, p, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/6088 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l = -3*g - 13*l - 11, -2*g - 6 = -l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 2 + 8 = 2*p, -3*p + x + 15 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h = 8. Suppose -4 = 4*q - 20. Suppose q*j = -4*m, 5*m + 3 + 18 = 2*j. Solve -h*z = -2*s + 12 + 10, -34 = j*z - 5*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10441\/780 - 161\/12. Let r be (-7)\/(3\/3 + 0). Let f(w) = -w**3 - 7*w**2 - w - 8. Let h be f(r). Which is greater: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102670 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5539*c**3 - c**2 - 47666*c wrt c.\nAnswer: -33234*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000110 (base 2) in base 11?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2928.78t in grams?\nAnswer: 2928780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 27 = -4*k, 15*k = -246*y + 245*y + 42 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, -0.1, 4\/3, -5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1121 + 1167 = -45*d - 2347 for d.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-20))\/((-4)\/(-16)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, 590, -2\/11, 2, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 4:30 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -7714443?\nAnswer: -7714453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/3, -2\/285, -9\/5 in descending order.\nAnswer: 1\/3, -2\/285, -0.5, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15167548 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -8. Which is greater: i or -3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 258, 411, 624, 897?\nAnswer: 1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -3. Suppose -4*h + v = 2. What is the closest to h in 0, 5, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-44) - (-108)\/11. Solve -5*k = -g*k - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 = -2*w. Let b = 5 - w. Find the first derivative of 3 + b - 4 + 3*c wrt c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.639964ml in litres?\nAnswer: 0.006639964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -302 - -317. What is the third biggest value in w, 1, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1125*g**4 - 680475*g**3 - 15474520*g**2 - 86388060*g = 0. What is g?\nAnswer: -166\/15, 0, 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 6794382.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1980)*-4*3)\/(6*(sqrt(60) - (sqrt(60) + sqrt(60) + sqrt(7260)*6))\/sqrt(12)).\nAnswer: 48*sqrt(11)\/67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 278873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a**2 - 3*a**2 - 8*a + 10*a + 60.\nAnswer: -19*a**2 + 2*a + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-3) - (-2)\/6. Let y = 7 + s. Suppose h = -4*p + 28, 3*h - y = p + 1. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7))**(-2\/33)*(a*a\/(a*a\/(a**(-2\/3)\/a)*a))**(22\/5))\/(a**(-8)*a**(-1\/3))**10 assuming a is positive.\nAnswer: a**(82678\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, 2, -4, -3, -16.\nAnswer: -126, -16, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115*a**2*b**2 + 1094*a*b**2 - 441232*b**2 with respect to a.\nAnswer: -230*a*b**2 + 1094*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 11) to base 3.\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 17*z + 50*z)*(-z + 2*z + 0*z) + (-z + 0 + 0)*(0*z + 2*z - 3*z).\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4040719 to the nearest integer?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpxpsxxwsdp. What is prob of sequence xs?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 188, 281, 374?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xwlplpgxlwlllpxx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797 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: Let p(n) be the third derivative of -n**4\/8 - 19*n**3\/6 - 5*n**2. Let x be p(-13). Calculate the greatest common divisor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 3*j**2 + 4*j + 3. Let r be m(-2). What is the units digit of 3 - (4 - 4)\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 - 2232 + i**3 - 6*i**3 - 2229.\nAnswer: 2*i**3 - 4461","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 10, 2*y = -68*v + 73*v + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**4 - 3*k**4 + k**5 + k**5 + 3*k**5 - 2*k**5 - 2*k**5 + 0*k**5 + k**5 + (-3*k**2 + k**2 + k**2)*(-2*k**3 - 2*k**2 + 2*k**2))*(2 + 3 - 8).\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16103, 128862, 434915, 1030910, 2013495, 3479318, 5525027?\n\"Answer: 16108*q**3 - q**2 + 6*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqxxjjxjxjjxmjjxqq. What is prob of sequence xqxq?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -17 + 34*15715\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*j - 4. Let q(u) = -5*u**2 - 4*u**3 - 130 + 258 - 130 + 5*u**3 + 2*u**3. What is the hundreds digit of q(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1\/f)**(1\/14))**(-3\/17)*(f**(-2\/21)\/f**(-2\/3))\/((f\/f**6)\/(f*f*f**(-3)*f)) assuming f is positive.\nAnswer: f**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1332887, -1332885, -1332885, -1332887, -1332891, -1332897, -1332905?\nAnswer: -1332915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 53*x - 1. Let n = -372281 + 372591. Calculate the remainder when n is divided by y(1).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-10))\/(1\/(-12)). Let v be ((-1)\/2)\/(3\/b). Let m(q) = 4*q + 1. Let o(c) = c. Determine v*m(y) - 6*o(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -5, -2\/3, -0.23, -535\/34?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qmqy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*y + 76*y = -16*y - 2273 + 8193 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/38 - (-78)\/(-19). Put 5, h, -3, 24 in descending order.\nAnswer: 24, 5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/3)\/(19\/57). Let u = 17 - 15. Sort u, 0, x in decreasing order.\nAnswer: u, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224113 (base 6) in base 15?\nAnswer: -59a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89887 - -89887.98137. What is s rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 - 171*g + 3 - 43*g**3 + 252*g - 79*g as z + n*g**2 + t*g**3 + r*g and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i. Let b(z) = -4*z + 1370. Give y(b(p)).\nAnswer: 8*p - 2740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-43)\/((-6192)\/3488) - 24. Factor -52\/9*k + 338\/9 + p*k**2.\nAnswer: 2*(k - 13)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63160.62 days to seconds.\nAnswer: 5457077568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -721*l - 18*l**4 + l**2 - 25*l**4 - 8 + 3 + 738*l wrt l.\nAnswer: -516*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*s - 316 = 2*s, -2*t - 2*s = -164. Let l = t + -83. Let d = 49 - l. What is the highest common divisor of d and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 48 + ad?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/25 - 948*a\/25 + 14656\/25 = 0. What is a?\nAnswer: 16, 458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 1 - 12\/2. Let j(a) be the second derivative of -a**3\/3 + a**2 + 2*a. What is the remainder when 18 is divided by j(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -5, 30, -94, 0, 64 in descending order.\nAnswer: 64, 30, 0, -1\/10, -5, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3919 a factor of 54005908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 0.3 (c) -0.3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.235217ng?\nAnswer: 0.000000000007235217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49500 minus 1.9409137?\nAnswer: 49498.0590863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 19, 14, 4, -51, 3 in decreasing order.\nAnswer: 19, 14, 4, 3, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 21, -2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 + 6*q**2 + 7*q + 1. Let n be k(-1). Let x(m) = -269*m + 9. What are the prime factors of x(n)?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:47 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.8 - -6.4. What is w rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1184)\/1120 + 4\/70?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = k + 5 + 4, 5*k + 29 = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 179233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w + 6*w - 16*w.\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/3? (a) 0.25 (b) 0 (c) 0.6 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 - r**4 + 3*r**4)*(3 - 5 + 0 + (1 - 1 - 2)*(5 - 6 - 1) + 3 - 3 + 1)*(0 + 0 - 1)*(3 - 1 + 0 + (0 - 6 + 1)*(-1 - 3 + 5) - 1 + 4 - 4).\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - ((-34 - -28) + (20 - 4))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 24*z + 56. What is the remainder when a(4) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.54 - -3.54. Let x = 1 - 5. Let f = -3 - x. What is the closest to f in -5, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 7 - 5 - (-2 + -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 270*o - 5746 - 10541. Let h(r) = -32*r**3 - 4*r**2 - r + 2. Let t be h(-2). What is the highest common factor of t and o?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -7*j + 5*c - 6, -c = -3*j - 6. What is the second smallest value in 2, -1.3, j, -1?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20634 + 35100. What are the prime factors of b?\nAnswer: 2, 3, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -12*t**2 - 9*t - 27. Calculate o(5).\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-174)\/232)\/(3\/36).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*(0 + sqrt(72)))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -211 (c) 8\/9 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3*(-4)\/18)\/(4\/(-12)). Sort 4, -5, 1, g in descending order.\nAnswer: 4, g, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23057660*v**6 + v**2 + 20035230?\nAnswer: -2766919200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -p + 11, -18*p - 4*c = -14*p + 4. Solve -p*b = 2*b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -5.4. What is the nearest to 1 in -2\/17, -2\/15, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*m**6 + 5*m**2 + 8*m**2 + m**2 - 52*m**6 wrt m?\nAnswer: 1080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74213, 148393, 222565, 296723, 370861, 444973, 519053?\nAnswer: 593095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c + 10267. Is s(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53016356?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 o, and 1 k when four letters picked without replacement from eoovkooeookoom?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4943 and 5?\nAnswer: 24715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 40 = -a, -3*t - a = 2*a + 15. Let o(h) = -4*h**2 - 10*h + 4. Let l be o(-4). Find the common denominator of t and 188\/l - (-10)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/12*-16*(-7)\/42.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 27*y**2 + 2*y + 46. Calculate h(-27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-64) + 46\/8. Let w be ((-54)\/(-15))\/h - (-3)\/(-5). Suppose -14*n = -w*n - 1162. What is the remainder when n is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*f*n**3 + 190*f*n**2 - 4665*n**4 - 298*n**2 wrt n?\nAnswer: 48*f - 111960*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1857 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 815.97 - 811. Let l = -4.9 + d. Let v = 0.6 - 0.2. Which is the nearest to -2\/7? (a) 3 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 15*p + 36*p**3 + 10*p + 4*p as o*p + w*p**2 + u*p**3 + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 7*y = -14. Let h = -139 + 232. What is the remainder when h is divided by (-1150)\/(-70) - 3\/y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**4\/46 + 14*s**3\/23 - 66*s**2\/23 - 448*s\/23 - 6371. Find b such that q(b) = 0.\nAnswer: -2, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3 + (-7 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -82328.454 rounded to the nearest 10?\nAnswer: -82330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -1. Let v = f - -55. Which is the smallest value? (a) v (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/109? (a) 5 (b) -2\/71 (c) -2\/9 (d) 154\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2349389 and 1678135?\nAnswer: 11746945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2424579038?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -63, -70, -81, -96, -115?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + x**2 + 2*x + 1. Let m be v(2). Let r = m + 3. Suppose 2*q - t - 18 = q, -t = -r*q + 75. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -395*w + 383*w - w**2 + 0*w**2 + 14. List the prime factors of g(-10).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347662 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -476 divided by -4\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(240)*-5 + sqrt(240))*-4 - sqrt(240)) + sqrt(240))\/sqrt(10))\/(-3*-2*sqrt(8) + sqrt(8) - sqrt(96)\/sqrt(192)).\nAnswer: 64*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5500 = 2364909\/430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -9 - (22 - (37 - 7))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/4*(-12)\/(-9). Let d(c) = 5 - 2*c**p + 0*c**2 + 4*c + 1 + 3*c**2. Determine d(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(468) + 6*-3*sqrt(468) - (sqrt(117)\/(sqrt(63)\/sqrt(7)) - (2*sqrt(117))**2).\nAnswer: -103*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 706218663 to the nearest integer?\nAnswer: 26575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311012231 (base 4) to base 15.\nAnswer: 446b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4378 and 995.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-21) - 182\/(-49). Let y(k) = -3 - 2*k**3 + 5*k**3 + k**3 + 11*k**2 - 2*k**3 + v*k. Let t be y(-5). Solve t*r + 3 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2273 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 2519?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 33942623?\nAnswer: -6\/33942623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1124251 (base 6) to base 14\nAnswer: 171c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 5*f. Let c be d(6). Suppose 3*m = c, -4*m + m = z - 220. Suppose 3*v = v + 4*l + z, -3*v + 4*l = -311. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5 (b) -0.026 (c) -0.1 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -151*k + 214*k - 109935. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2224 > 3622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a + 3*a + 0*a - 25*a + 15*a - 2314 to x*a + p and give p.\nAnswer: -2314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4558*n + 169822. Determine t(37).\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 8 - 11 = -2*u, -2*j = 5*u - 46. Let z = 10 - u. What is the smallest common multiple of z and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150\/(-250)*(-20)\/42.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4 = -m, -6*y + 12 = -y + 3*m. Let p be (0 - -1)\/(2544\/(-282) + 9). Let z = p - -236\/5. Which is the closest to y? (a) 5 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 20 = -f. Suppose 3*r = -5*g - 19, -f*r + 2*g - g = -15. Find the second derivative of 5*d - 4*d + 0*d**r - d**2 wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 3*x + 2*x - 2 - 8. Let l(s) = -s**3 + 25*s**2 + 27*s - 33. Let q be l(26). Let j(w) = -w + 3. What is q*j(n) - 2*g(n)?\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29994809 is divided by 200?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/3)\/(1 - 0). Let r(l) = l**3 + 6*l**2 - 2*l - 4. Calculate the smallest common multiple of r(-6) and (-12)\/u*(-4)\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 5. Let m be (z - (1 + -4)) + 0. Let h(n) = -13*n - 14. List the prime factors of h(m).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2354587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 726627 + -414086. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z + 1. Let u(i) = 6*i + 4. Let t = 81 - 91. Determine t*o(y) + 3*u(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iscc when four letters picked without replacement from scucvvcvvimcuvcvu.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 1 - m**2 - 37 + 70511*m**3 + 37.\nAnswer: 70511*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in -1\/3, -1316, -15.6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*p + 2802 - 1413 + 1637 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 5*j**2 - 2*j + 3. Let a(v) = v**2 - 12*v - 20. Let b be a(14). Suppose 22 - 2 = -5*t - 5*w, -2*t - b = 5*w. Calculate u(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -3*k**3\/2 - 5*k**2 + 7*k. What is the derivative of i(v) wrt v?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -72, -114, -194, -324, -516, -782, -1134?\nAnswer: -1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 - 8*i - 28)*(3 - 3 - 1)*(-2*i + 0*i + 8*i)*(6*i - 4*i + 16*i) to y*i**2 + r + v*i + p*i**3 and give p.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*j**3 + 7*j - 16*j**4 + 102*j**3 wrt j?\nAnswer: -192*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*(b**(-11)\/b)\/b)\/(b**(-10)*b))**10)**(-2\/23))**44 assuming b is positive.\nAnswer: b**(2640\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -136371 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563040813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3912525, -15650111, -35212757, -62600463?\n\"Answer: -3912530*o**2 + 4*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 6 - 15)*(i - 3*i - i) as b + w*i and give w.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 5:34 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b**(-2)\/b)*b))\/(b*b*b*(b\/(b*b**(-3))*b)\/b*b*b*b*b)*b\/(b*b**(-4))*b*b*b**0*b*b assuming b is positive.\nAnswer: b**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 15*j**2 - 4*j + 54. Let r be h(16). Suppose -50 = 4*m + 574. Let a = r + m. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 337266 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -57, -110, -163, -216?\n\"Answer: -53*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*p - 0*p. Suppose 0 = -2*j - x + p + 6, x + 2 = 3*j. Is ((1068\/(-8) - -3) + j)*-14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(7\/49*7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1745, 3491, 5239, 6989, 8741, 10495?\nAnswer: 12251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z - 3. Let q be x(2). Suppose q*d = -d. What is the second derivative of 3*m**4 + d*m - m - 5*m**4 wrt m?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*c**4 + 24*c**4 + 13*c + 24*c**4 - 77*c**4)*(-c + 6*c - c).\nAnswer: -56*c**5 + 52*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/864*27)\/(1\/((-6)\/(-16))).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1524\/71 or -192?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = m. Let y = -7308 + 7328. What is the lowest common multiple of m and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + d**2 - 1. Let c(l) = -18*l**3 + 4*l**2 + 154*l + 20. Let o(w) = 2*w**3 - 11*w - 2. Let m(h) = -c(h) - 14*o(h). Determine -m(s) - 6*n(s).\nAnswer: 16*s**3 - 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -7316782 smaller than -7316782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2))\/(13\/(-78)). What is the second derivative of p*a**2 + 20*a + 4*a**2 - 2*a**2 wrt a?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1924 and 296.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679 is divided by 117.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2 + 85 + 5*m**2 + m - 2*m**2 + 30. Is d(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5807.\nAnswer: 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 4. Let p(z) = -z**3 - 2*z**2 - 3*z - 2. Let c be p(0). Let n be s(c). Solve n = 3*m - 7 + 16 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.62 - -1.84. What is the closest to -1\/4 in 4, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 2. Let u be v(-7). Suppose 6*t - 3*t = u. Factor 0*z**3 - 2*z**3 + 0*z**3 + z**t - z**2.\nAnswer: -z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2594 and 30820.\nAnswer: -79947080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 29. Let z be (-4 - 1)\/(1\/((9 - 15) + 11)). Calculate o(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 524786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*f - 45, -4*f - 1 = 5*y + 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(5)*-3 + -4 - sqrt(55)\/(-1*sqrt(396)))**2.\nAnswer: 68*sqrt(5)\/3 + 2021\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8*x**2 - 2*x - 6. Let r be k(-4). Let g be 2\/11 + r\/(-33). Suppose g*f = 14 + 6. Solve -f - 3 = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1595*r**2 + 1082?\nAnswer: 3190*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*b**5 + 101*b**2 + b wrt b.\nAnswer: 3360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2789380 and 660.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*t - 154, -3*m - 2*t + 262 = 2*m. Suppose 4*c - 8*c = -m. Let i be 1 + (3\/2)\/((-3)\/(-206)). Calculate the highest common divisor of c and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2. Let f(u) = -3*u. Let j be (-4 + 3\/1)*-2. Let w(x) = 7*x. Let d(a) = j*w(a) + 5*f(a). Give d(s(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -793 + 799. Let y(w) = w + 4. Let b(s) = -2*s - 7. Determine n*b(q) + 11*y(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from babazaqa. Give prob of picking 1 z, 2 a, and 1 b.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = y, -y - 5*q = -0*q + 16. Let c be -3 - (y + -3)*1. Is c less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -1202.\nAnswer: -1202, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*d + 12*d + 14*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (9 - 1 - -5)) + 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*p - o, 5*p - 5*o = -0*o + 40. Suppose 0 = -i - 2*j + 9, -p*i + 10 = -4*j - 21. Which is the nearest to -1? (a) 3 (b) 1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, k: 5}. What is prob of picking 2 c?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 378412, 756820, 1135228, 1513636, 1892044, 2270452?\n\"Answer: 378408*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 12*w + 65. What is h(-5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 234*i + 45*i + 65*i to z*i + d and give z.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 23*m**2 + 36*m + 12. Does 26 divide v(-6)?\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 6:40 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d = -43*v + 42*v + 155, -3*d - 33 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.4 + -19.4. Let b = 12.2 + n. Let l = b - 0.2. Sort l, 3, -1 in decreasing order.\nAnswer: 3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 670209*n + 6032124.\nAnswer: -3*(n - 9)*(n + 223412)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 193.4 times 0.0087\nAnswer: 1.68258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1646b (base 13) to base 7.\nAnswer: 234634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**0)\/j)**(-1\/9)\/((j*(((j\/j**3)\/j)\/j)\/j)\/(((j*j\/j**(-4)*j)\/j)\/j)) assuming j is positive.\nAnswer: j**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**3\/6 - 7*k**2\/2 - k. Let j = 4454 - 4457. What is f(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 17*h**2 - 4*h + 1. Let z be m(1). Let j(y) = y**3 - 14*y**2 + 9. Let c be j(z). Let v = 121 - c. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/(-7)*(-10)\/(-90)*-3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 500298 to the nearest 1000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = 3*c - 15, 16 = 2*c - 2*x. Suppose -5*p - 3*t = -2*t - 26, c*p - 11 = 4*t. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1)*k)\/k*k)**(-8))**34*(k**0)**(4\/17)*k**(-3)*k*k**(1\/3) assuming k is positive.\nAnswer: k**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1248 and 61984.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56239.8 weeks to hours.\nAnswer: 9448286.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**3\/2 + 5043*s. Let k(n) = -217*n. Determine v(k(j)).\nAnswer: 651*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/r**6)\/r))\/(r\/r**(1\/4)))\/(r*r*r\/(r\/(r*r*r\/(r**1*r)*r))*r)**(3\/25)*((r*r*r**(-2)*r*r*r)**(4\/9))**(16\/9) assuming r is positive.\nAnswer: r**(4331\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4492*l. Let p(x) = -2277436*x. Determine -4564*h(w) - 9*p(w).\nAnswer: -4564*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/33, -183, -0.05, -0.09, -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 8, 3, -3 in increasing order.\nAnswer: -11, -3, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1348501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/7 - (-11)\/((-77)\/2). Put -5, 3, -3, i in increasing order.\nAnswer: -5, -3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w - 6*w + 20*w. Let b(a) = 15*a**2 + 7*a - 70. Let t(f) = 9*f**2 + 4*f - 40. Let x(p) = 4*b(p) - 7*t(p). Give n(x(r)).\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36015*n**3*u - 29*n**3 + 2*n**2*u - n**2 - 2421*n wrt u.\nAnswer: -36015*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2 - b - 6 + 7*b. Suppose 125*a - 11*a - 74*a = -120. Give k(a).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 1) + 1 - 1. Suppose 7 = 4*i - 4*s + 31, -4*i = 3*s - h. Is (14 + -1 + i)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 429000*m**3 - m**2 + m + 2. Let i be s(-1). Round i to the nearest 10000.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-25) + (-63)\/5. Suppose -s - 4*k = -8*k + 7928, 0 = -s + 3*k - 7925. Let j be s\/o - 3\/(-9). What is j rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -25.32.\nAnswer: -23.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -0.1, 32\/7, 333.73, 4, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r**2 - 2*r**2 + 3*r**2. Let m(k) = 14 - 26 + 12 + k. Give f(m(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 q when three letters picked without replacement from {z: 5, q: 9}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-150 - 108 - 105)*(-c + 4 - 1 - 6)*(0 + 3 + 0) in the form z*c + k and give k.\nAnswer: 3267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 648 and 30888.\nAnswer: 92664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -166a4?\nAnswer: 166a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + i**2 + 5*i + 2*i + 6. Let s(u) = -u - 15. Let m be s(-11). Determine x(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l**(1\/13)*l*l)*l)\/(l\/(l\/((l\/(l*l**(-4\/3)))\/l)*l)))**(-47))**(-5\/12) assuming l is positive.\nAnswer: l**(7285\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 3*g**5\/20 - 15*g**4\/4 + 25*g - 3. Solve u(a) = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 37960167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5420580504 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**(1\/4)))\/a)**(-18)*(a*a*a\/(a*a**(3\/2)))\/(a**(-7)\/a))\/(a*a**(5\/2)*a**(-7)*a)**(-46) assuming a is positive.\nAnswer: a**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 5*n + 8*n)*(-2 + 2 - 2*n).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of (-102 - -524) + (8 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2 = -4*t + 5*t, 4*t + 2*c - 62 = 0. Suppose -t*k = -18*k + 15. Solve 5*d - 7*d = 4*z + 28, -35 = 5*d + k*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 8. Suppose 30 = 2*z - o. What is the highest common factor of 128 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46776, 93541, 140292, 187023, 233728, 280401, 327036?\nAnswer: 373627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8 = 5*a - 29, 0 = -5*c - a + 81. Let o(k) = -2*k + 5. What is the remainder when c is divided by o(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + c - 367 = -2*i, 2*c = 5*i - 462. Suppose -2*v + i = 5*q - 90, -420 = -4*v + 4*q. Calculate the remainder when v is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + -0.1. Let j = 18\/7 + -76\/35. Let r = 1 - 0. What is the third smallest value in j, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 104 = -62. Solve x = -m*x + 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 4*m**2 + 3*m. Let t be k(-2). Let o be t + 0 + -4 + 1. Is 9*(-1)\/(o*3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4295*0.19057\nAnswer: -0.081849815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.054521969 to 5 dps.\nAnswer: 0.05452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 68920 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67870 by -3085.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/7 (b) -1\/5 (c) 2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + ((-12)\/(-5) - 3)*-10. Let w = 2814 + -2811. Solve -j*v + 40 = w*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8525 is divided by 106?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(sqrt(833) - (-3 + sqrt(833))*6 - sqrt(833)))**2.\nAnswer: -25872*sqrt(17) + 485737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 12303 and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4714429 to the nearest integer?\nAnswer: 2171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (27 + -1 + 1)*1305\/135. Let k = w - 254. Solve 9*b - k*b = 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.3 + -3.7. Let h = p - 24. Let i = h + 57.7. Which is the closest to -1\/2? (a) -1\/3 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 18 = 40*k - 36*k, 4*k - 5*h + 15 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -198a00a (base 12) to base 9\nAnswer: -11153241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -12.99. Let j = 39 - 29. Let l be 2 - 75\/j - -4. Which is the third biggest value? (a) -0.4 (b) 1 (c) s (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 - -11?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117480 and 760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17864749817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2150 = -53*d + 93*d + 175*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2433669057 to the nearest integer?\nAnswer: 49332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5166699 divided by -4.\nAnswer: 5166699\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 299634 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 3*z**2 + 2. Let d be m(-3). Suppose -c - 10 = -d*o, c = -4*c - 10. Solve 0 = i, -4 = -o*q + i + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2716429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -506418*u**5 + 6*u**4 - u**3 + 2688871*u wrt u.\nAnswer: -10128360*u**3 + 72*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**2 - 3*i**2 - 1 + 5*i**2 as g*i**2 + v*i + p and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by 1573.\nAnswer: 31\/1573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0\/g)\/g**(-1\/6))**(-1\/17)*(g*g*(g**0\/g*g)\/g*g*g*g)**(-15\/2)*g**(4\/7)*g*g**(-6)\/g assuming g is positive.\nAnswer: g**(-25303\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 5*g**2 + 7. Let c be n(5). Let j(d) = d**2 - 7*d + 1. Let b be j(c). Let f(i) = 9*i - 1. Calculate f(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**2 + 2*w. Let j(h) = 3*h**2 - 5*h**2 + 11*h**2 - 4*h. What is -3*j(c) - 7*s(c)?\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 1 + -3 + -20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/19)\/(r*r*r**(-18)*r*r))\/(r\/(r\/(((r**4*r*r)\/r*r)\/r*r))*r\/(r\/(r*r*(r*r**(6\/13))\/r))*r) assuming r is positive.\nAnswer: r**(1082\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 69 + 1c6?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 37?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -1)\/(3\/2). Suppose i = -c*i. Suppose -h - 8 + 45 = i. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 92034 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 6 = 2*k, -2*b - 2*k - 6 = -0. Put 4, -1, b in ascending order.\nAnswer: b, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 7*z - 1 + 1 - 2. Let o = -63 + 79. Suppose 8*g - 6*g - o = 0. Calculate h(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Let i = 1.24 - -4.76. Which is the second smallest value? (a) -0.3 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 860 by -2.\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*f = -68*f + 20208. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + -7 - (-13 - -15) - -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*i - 9, 3*f - i - 8 = 3. Suppose -z + 3*r = -25, 21 + f = z + r. Solve -5*x = -2*m + 4*m - z, -x = m - 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - c - 2. Let w be n(-2). Suppose 3*y - 9 = -0*y. Let i be 1*(-4 + 20\/5) + y. Solve 3*z - w = m - i*m, -5*m + 33 = -4*z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 110344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 42 = 5*n - 11, 2*n = -3*g - 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22 + 21*l**4 - 12*l**4 + l**2 + l**2 - 22*l**4 - 11*l**2 wrt l?\nAnswer: -52*l**3 - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*g = -117*g - 150*g - 496 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + 5. Calculate the highest common factor of 12 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 7*y**2 - y + 5. Let b be o(7). Suppose -16 = 4*l - 40. Let n = b + l. Solve n*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 738 and 5363.\nAnswer: 6101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 7 - 43. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000314 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1944) + (sqrt(1944) - sqrt(1944)*-1)))\/(sqrt(12) + -4*(sqrt(12) - sqrt(48)\/sqrt(4)) + sqrt(768)*2).\nAnswer: 27*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -317.901 rounded to the nearest integer?\nAnswer: -318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(176)*6*-4 + -4)**2.\nAnswer: 960*sqrt(11) + 101401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 4. Let r be 3159\/12 - (124\/(-16) - -8). Suppose 767 - r = c*t. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 + 4*z**2 + 53*z + 50. Let u be f(-1). Let d(w) = -4*w**2 - 69*w + 1. Let v(h) = h**2 + h. Determine u*d(b) - 3*v(b).\nAnswer: b**2 + 66*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646537324 is divided by 2122.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 3*l - 5. Let k be c(-5). Suppose 0 = 3*j + 19 + 17. What is the units digit of k + 0 + j\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427341 = 35*v - 566449. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -11*g**2. Let l(i) = -3*i + 2. Let b(p) = -15*p - 4. Let u(n) = b(n) + 2*l(n). What is u(j(a))?\nAnswer: 231*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z + 5 + 6. Let n be z\/(3 - (0 + 4)). Solve o + n = -0*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 34*o - 7*o - 17*o - 5*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 8 + 10 - 17 + 10 + 10.\nAnswer: 8*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + p + 60. Suppose p*i - 1242 = i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -304, -301, -290, -265, -220, -149?\n\"Answer: f**3 - 2*f**2 + 2*f - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -1 (c) -3\/10 (d) 0.02 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dupu when four letters picked without replacement from {n: 7, d: 1, p: 2, u: 2}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 27*y**2 - 163*y - 22. What is the thousands digit of g(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 6*m + 6. Let h be l(-4). Let x = 6 + 9. What is the remainder when (-2)\/h + (-57)\/(-1) is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1575166*o - 28352993. Determine v(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 829*s + 45606. Give h(-55).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5431678 is divided by 2715714.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 16, p: 2}. What is prob of picking 4 d?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.12 (b) -3 (c) 0.1084 (d) -5\/6 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 + 0*q**3 - q**3)*(-4*q**2 - 7*q**2 + 10*q**2) + (-3*q + 0*q + 5*q + (3*q + q - 3*q)*(3 + 0 - 4) - 4 + 4 + q)*(-17*q**4 + 28*q**4 - 65*q**4).\nAnswer: -111*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, -34, -104, -222, -400, -650, -984, -1414?\n\"Answer: -2*i**3 - 6*i**2 - 2*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 12\/395?\nAnswer: 12\/395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2 - 6. Suppose -2*s + 3*a + 3 = s, 4 = d*a. Suppose -69 = -s*m - 3*b, -4 = -5*b + 1. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 1133*h**3 - 1129*h**3 - 1 + 2*h - 14 - 51 to o + w*h**3 + i*h**2 + n*h and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6004.27264 rounded to the nearest 10?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**3 + 2*r**3 + 11*r**3 - 14*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -233.\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*9\/((-18)\/4). Suppose -2*i + 5*o = 3*i, 4*i = -4*o + 16. Solve -2\/9*m**3 + 0 - 2\/9*m**t + 2\/9*m + 2\/9*m**i = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15043 and 9103164?\nAnswer: 63722148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 3*p**2 + 5*p + 3. Let s be i(-4). Let g = 5.7 - 10.8. Let u = g + 5. Is s at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - r - 37 = 0, 5*d - 4*r - 100 = -3*r. Suppose 13*f - 16*f = -d. Calculate the highest common factor of 77 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + f - 13. Suppose 12 - 4 = 2*r. Let d be 27\/12 - (-1)\/(-4). Let q be ((-2 - d) + r)*1. Calculate m(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 0, -160, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34470 - -72509. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3 - 104\/12. Let d be 1*15\/a*-3. Suppose -c = -2*c + d. Solve x + 0*x = c*k - 4, -1 = -5*k + 4*x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*c + 549 = 471 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 11. Let q be (-1 - (2 + 2) - 1)*1. Let h be g(q). Solve 4 + 7 = 2*r - d, 0 = -h*r + 4*d + 35 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3516 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (-15)\/((-60)\/184). Suppose -v - 76 = -21*r. What is the least common multiple of 2 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/4827 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 4)*(5*d - 3*d + 5*d)*(0*d**3 + 3*d**3 - d**3 + d).\nAnswer: 70*d**4 + 35*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 323, 499, 683, 875, 1075, 1283?\nAnswer: 1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**3\/8 - 13*c**2\/4 - 169*c\/2 + 2197 = 0.\nAnswer: -26, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(t*t\/(t*t\/(t*t**10))))*t))\/(t\/((((t\/(t**(1\/2)\/t))\/t)\/t)\/t)))\/(t**(-7)\/t*t**(-10)\/t) assuming t is positive.\nAnswer: t**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -160. Suppose 5*v + f = 8*v + 88, 0 = 4*v - 2*f + n. Is 23 a factor of (v\/(-4))\/((-60)\/(-920))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/3*2)\/((-112)\/(-84)) - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 + 118 - (11 + 54) - 25.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(36\/6) + 3. Solve -3*c - 5*i + 25 = -8*c, -4*i = -q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17131087 is divided by 590727.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10*(-11)\/((-198)\/180).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2227739964 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -11\/7*q + 1\/7*q**3 - 10\/7*q**2 + 0 = 0.\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.16 and 0.\nAnswer: -3.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s**2 - 2*s. Let r(n) = 2*n**2 - 3*n. Let u be r(2). Does 8 divide c(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 37 + 2\/39*p**3 + 9\/13*p**2 + 0*p. Factor y(w).\nAnswer: 2*w*(w + 9)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 19 = -34*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/60 + h**5\/20 - h**4\/8 + h**3\/3 + 9*h**2 - 3*h. Calculate s(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 4:07 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/((-147)\/14)*3\/4. Which is the closest to -1\/3? (a) 0 (b) -14 (c) 3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 30*w**2 + 7959*w - 7959. What is f(1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31146.8 milligrams to micrograms.\nAnswer: 31146800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 3*k**2 - 10*k + 4. Calculate the least common multiple of z(5) and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 54. Suppose 5*n + w = x, -n + 2*w = 3*n - 10. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -965 + 965. Which is the biggest value? (a) -0.4 (b) u (c) -40 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19df (base 16) to base 12.\nAnswer: -39bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25446690 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*k - 112 = -458*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -102121 (base 3) to base 16\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21329.19231 + 21329. Let f = w - -101.86231. Let j = -101 + f. Round j to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = 0. Suppose n + u*j = 4*j - 5, -n = -3*j. What is the units digit of 12\/1*10\/n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8620\/3448*(4\/(-2160)*-159 - 2\/8).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2216 divided by -4?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 8*z + 6*j = 53*j - 71, -z + 14*j = 11*j - 5 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 28. Let w(n) = 9. Let z(o) = -2*a(o) + 7*w(o). Let h be z(9). Solve b = 6*b - h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + i + 56 = 0, 4*g - 4 = -115*i + 119*i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - 6. Let n = a + 26. What is the nearest to -0.1 in 2, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -34, 37, 202, 485, 910, 1501?\nAnswer: 2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-9 + 7 - -11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/774 and -139\/319042542?\nAnswer: 957127626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 + 164. What are the prime factors of c?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107423 divided by 787.\nAnswer: -107423\/787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9633 and 156.\nAnswer: 38532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 2. Let y be h(2). Let g be (-4)\/(-14) - (-416)\/112. Suppose 214 = y*m - 2*l, l = g*m - 149 - 68. What is the highest common factor of 22 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 121 + 203. Suppose -10*i + 92 = -b. Solve -14 + i = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 74 = 7*s, 0 = -2*s + 3*j + 23 + 23. Which is the nearest to 2? (a) 0.4 (b) s (c) 1 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20295348 divided by 1691279\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**3 - 5*o**2 + 9. Give d(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 121 = 11*m. Suppose b - 124 = -3*b. Calculate the remainder when m is divided by b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 16336 = -16318. Suppose -73 = -y - 2*a - a, 0 = -y - 5*a + 65. Let d be (-25)\/y - (-2 - -1). Which is smaller: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 27137.04 and -4.\nAnswer: 27133.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - -2 - (-1 - 0). Suppose -5*j + 2*l - 39 = b, 3*j + 2*j + 48 = -l. Let z be 2\/j - 22\/(-18). Sort -3, z, 5 in descending order.\nAnswer: 5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3108066 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87302.\nAnswer: 2, 43651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 27. Calculate the remainder when (0 + 1)\/(2\/94) is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 164.9507 - -20.2633. Let g = t + -185. Round g to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x**2 + 128*x - 145. Determine y(16).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 25*c + 182. Let t = 310 + -317. Let i be n(t). Solve -7*r - i = -0*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 262562 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49283917.\nAnswer: 23, 557, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11559494*l + 483278 wrt l.\nAnswer: 11559494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:29 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49938 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*i - 51. Suppose -j = -a - 4, -5*a = 4*j + 3 - 1. What is the third derivative of 2*u**j + 5*u**i - u**2 + 2*u**2 - 4*u**2 wrt u?\nAnswer: 600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = -2*j + 10*j. Let h be (-27)\/(-36)*(1*-2 - j). Is (-1526)\/(-4) + h\/42 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*q + 30 = -153, 0 = -r + 3*q + 51. Let o be (-10)\/r - ((-25)\/5)\/15. What is the second smallest value in -2, o, 1\/2, -19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -40. Suppose 20 + 8 = 4*c. Calculate the lowest common multiple of v and c\/(-21) + 37\/3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v - 8*v = -168 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000042452891 rounded to seven dps?\nAnswer: 0.0000425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -621 in 4, -0.2, 1\/17, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/19240 and 56\/555.\nAnswer: 57720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -8. Which is smaller: -3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29\/97 + 300\/679. Let i be ((-2)\/3)\/((-1)\/(-2)). Let o = 1\/24 + -29\/120. What is the smallest value in i, 0.4, o, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 - 32*s**2 + 12*s - 14. Is t(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 - 67 - 7*p)*(16 - 7*p**2 + 6*p**2 - 6).\nAnswer: 7*p**3 - 70*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 173081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43415119 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -30. Let v(n) = n**3 + 4*n**2 - 2*n - 13. Let x be v(-4). Is k != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from luugluclzuulouz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27045, -108260, -243613, -433104, -676733, -974500?\nAnswer: -1326405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -4. Suppose 0 = -w + 173 + 124. Suppose i = -2*r + c - 96 + w, 4*c + 504 = 5*r. Round r to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2\/(0 - (-8)\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = 2*r, 3*b - 2*r = 64. Suppose 2*u - b = 14. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1836)*-4 - sqrt(1836))\/((sqrt(45)\/sqrt(5))\/sqrt(3)).\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 7) to base 15\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 253, -0.01, -22136, 0.3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*f = 2, 2*h - 8 = -3*h - 4*f. Solve -h*x - 3*p = -4 - 4, 0 = 5*x - 5*p - 45 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139932*j + 139893*j + 2574 = 0 for j.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6668, -26688, -60062, -106796, -166896, -240368, -327218, -427452?\n\"Answer: -s**3 - 6671*s**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 799166546.\nAnswer: -799166542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520 = 56689*g - 56729*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 993*q - 989*q - 22, -720 = 52*o + 4*q for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -353 not equal to -353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -465.99779433 rounded to the nearest integer?\nAnswer: -466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*q + 384*q = 979087. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4582, -9828, -15074?\n\"Answer: -5246*p + 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let v(n) = n**3 - n**2 - n + 10. Does 3 divide v(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -11*u - 3. Let y(n) = 7*n + 2. Let i(m) = -5*h(m) - 8*y(m). Let g be i(-6). Put 3, -3, g in increasing order.\nAnswer: -3, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*y + 3. Suppose -5*a + 1740 = 5*o - 3*a, 1025 = 3*o + y*a. Suppose -o = -5*d + t, 108 + 191 = 4*d + 3*t. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 divided by 47?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-8))\/(h**(5\/3)\/h))\/(h**0\/(h**(6\/7)*h)) assuming h is positive.\nAnswer: h**(-122\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - i - 1. Let m(l) = -8*l**2 - 2*l - 3. Let b(v) = -v**3 + 3*v**2 + v - 4. Let h be b(3). Let o(d) = h*m(d) + 2*a(d). What is o(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*b**2*v**2 - 300*b**2 - 2*b*v**2 wrt v?\nAnswer: -26*b**2*v - 4*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 80112, 160255, 240386, 320499, 400588?\n\"Answer: -j**3 + 80150*j - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-15)*(5382\/72)\/23)\/((-9)\/10).\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2. Let n(c) = 12*c**2 - 28*c + 16. Let k(r) = -r**2 + r - 2. Let y(b) = 8*k(b) + n(b). Give m(y(q)).\nAnswer: -32*q**4 + 320*q**3 - 800*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a12 (base 14) in base 4?\nAnswer: 1021300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3ee1 + -90?\nAnswer: 3e51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4739.339 nanometers to kilometers.\nAnswer: 0.000000004739339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + 2*s**4 + 9*s**3 + 14*s**3 + 2 + 14*s**3 to the form r*s**2 + m + n*s + z*s**4 + w*s**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1922)\/(-31) - (179 + -110))*(172\/(-14) + 0)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39378516.\nAnswer: 2, 3, 3281543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n = -8. Suppose 0 = n*h - 2 - 16. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(-111 - 150 + 62 - 146)*(-91*b**2 + 53*b**2 + 47*b**2) in the form k*b**2 + m*b + d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -117, -495, -1521, -3519, -6813, -11727, -18585?\n\"Answer: -54*z**3 - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/9*33\/(-440)*-8.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 11:57 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3 + -2 + sqrt(405) - (sqrt(405) - (4*sqrt(405)*2)**2)))*-4*-1.\nAnswer: 103664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**4\/6 - 5*u. Let z = -37 + 25. Let i(g) = -9*g. Let v(h) = 22*h. Let k(l) = z*i(l) - 5*v(l). Give k(b(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 4*v - 21 = 0. Suppose -v*s - 14 + 38 = 0. Calculate the remainder when (-1)\/(((-4)\/26)\/2) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2262*p - 2275*p + 98 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 4*k**2 + k + 3. Let r be i(4). Let c = r - 6. Does 23 divide ((-4)\/(-12))\/(c\/69)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*u**2 + 20*u - 8*u - 12*u in the form s*u**2 + f*u + c and give s.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 - 381\/4. What is the third biggest value in -0.3, a, -2.2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (120\/(-18))\/((-779)\/390 + 2). Let g = -1287 - j. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-27 - -37) + -2 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-27)\/(a\/(a\/(a**(-8)\/a))) assuming a is positive.\nAnswer: a**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45.9 and 0.204.\nAnswer: -9.3636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/45*(322\/28 + -11)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -106587554.2 to the nearest one thousand.\nAnswer: -106588000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30144.1229925 - 30144. Let d = k + -0.123. What is d rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 1, a: 4, x: 5, l: 1}. Give prob of sequence mi.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12811, -25621, -38431?\n\"Answer: -12810*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2 + 150*p - 5625 = 0.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*a - 797 - 718 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 559239453?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -45 - 36. Suppose 71 + 793 = 6*z. Let a = u + z. What are the prime factors of a?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**26))**30\/(n**(-5\/7))**(-30) assuming n is positive.\nAnswer: n**(-5610\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 28*k**2 - 28*k + 29. Let j be c(27). Suppose -5*v = -2*x - 3*x - 3865, j*x + 8 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96046 is divided by 638.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24179455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-6)*-22)\/((-1)\/(-3)). Suppose h*c = 5*c. Solve -4 + c = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {n: 2, c: 7}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*f - f + f)*(-4 + 0 + 2) + (1 + 1 + 0)*(9 - 9 - 9*f) - 2*f + 0 + 0)*(1 - 4*f**2 - 1).\nAnswer: 104*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1772b (base 15) to base 13.\nAnswer: 286bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -227 (base 9) to base 11.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 322576, 1290280, 2903116, 5161084, 8064184, 11612416?\n\"Answer: 322566*b**2 + 6*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(306\/(-136)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/169 and -39\/7.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7061 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422518270.\nAnswer: 2, 5, 499, 84673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 311, 231, 111, -43, -225?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3032977861 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + (-165)\/10)*36\/(-7). What is the greatest common factor of 81 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 2\/221827?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4 - 2*h - 15 + 6. Let v be b(0). Let p = -0.5 + -1.5. What is the nearest to -3\/11 in p, 1\/4, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**6\/120 - 3*r**5\/20 - r**4\/8 + r**3\/2 + 14*r**2. What is the units digit of k(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 (base 9) in base 14?\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, h: 5, i: 4, u: 1, o: 1}. What is prob of sequence imo?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 34, -2\/5, -2\/181, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*c - 785*c = 117*c - 133*c + 53774 for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-7) + -36 + (-4539)\/(-119)?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + 14 + -47 + 10 - (25 - 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -514*g - 12044. List the prime factors of q(-31).\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/4 + -3 + 9)\/1. Let w(g) = 2*g - 20. Let l be w(s). Calculate the highest common factor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170\/27 + 178759\/28404. Let y = x + -60971\/15780. Find the common denominator of y and -1\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(24*-1*((-8)\/3)\/8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -115?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31533 (base 7) in base 2?\nAnswer: 1111010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*((-352)\/(-99))\/(-8)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 4. Let b be s(3). Solve -14 = b*g + 4*q, 3*g = g + q + 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -36 (b) 4 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323324144?\nAnswer: 2, 11, 13, 251, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 2 - (-4)\/5. Suppose -3*r + 10 - 73 = 0. Let i be (-15)\/18*r\/70. Which is the second biggest value? (a) i (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 3. Let h = i + -4. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 18 + 3 = -5*k, 5*k - 4*i = 17. Suppose 4*g + 3 = k*f, -5*g - 18 = -f - 10*g. Does 4 divide 6*5*1\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 less than 928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/6 and 11\/7055138.\nAnswer: 21165414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 2\/3 (c) 9167.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-70))\/((-27)\/63)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 163665 (base 7) to base 5\nAnswer: 2020313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3163*d + 3155*d - 6318*d + 321*d**2.\nAnswer: 321*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 553 divide 1513708254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 398915773 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26367?\nAnswer: 3, 11, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) -0.2 (c) 39\/7 (d) -3 (e) -2.56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5204.623 - -5207. What is l rounded to 1 dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 - 0.3. Let o = q - -0.12. Sort o, 2\/11, -1 in increasing order.\nAnswer: -1, o, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 146\/(-435) - ((-1166)\/1537)\/11. Which is the third smallest value? (a) p (b) 6\/5 (c) 5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 329.0359 millilitres?\nAnswer: 0.3290359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*h = 5*h - 2, h = 2*v - 11. Suppose -v*m + 9*m - 543 = 3*y, 3*m = -4*y + 349. List the prime factors of m.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 + -29. Let i = 105 - 58. Let x = i - b. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 365 divided by 11937\nAnswer: 365\/11937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -4654468.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/66405 and -55\/27.\nAnswer: 597645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 52*j - 4001. Let x be t(77). Solve -2*p - x*d = 9, -2*p - 3*d - 2 = -7*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 1:04 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2330210101233 - 10?\nAnswer: 2330210101223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 - 2*h**3 + h**3)*(-3*h**2 - h**2 + 3*h**2) - h**3 + h**3 - 2*h**5 + 6 - 2*h**5 - 6.\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 332 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsmmymymymyymym. Give prob of picking 2 y, 1 s, and 1 j.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 2*v + 3*v)*(-v**3 + 1 - 1) - v**4 - 1 + 1 + 3 - 23*v**4 - 253647736*v**2 - 75*v**3 + 253647736*v**2.\nAnswer: -26*v**4 - 75*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17246, 31970, 46692, 61412?\nAnswer: 76130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2441, -2466, -2507, -2570, -2661, -2786?\nAnswer: -2951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Let i(o) = -4925272*o. Give w(i(b)).\nAnswer: 4925272*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183513, 367019, 550523, 734025, 917525?\nAnswer: 1101023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2144 + 3613. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95783.43 millimeters in kilometers?\nAnswer: 0.09578343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 59*o - 52*o + 201*o - 17*o + 7*o.\nAnswer: 83*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -c - 0*c. List the prime factors of c.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*sqrt(275) + -5.\nAnswer: -5*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 - 8 - (-2)\/3. Let q be -1 + (-5 - 79)\/(-4). Let w = 102\/5 - q. Which is the nearest to y? (a) 2 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*l**3 + 142*l**3 + 124*l**3 + 162*l**3.\nAnswer: 479*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -389*l + 389*l + 26*l**2 to the form u*l**2 + r*l + a and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - 5 + 3 + 4 + (-3*u + 0*u + u)*(-1 + 6 - 2).\nAnswer: -5*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*m, -504*n - m = -508*n - 24. Which is the second smallest value? (a) n (b) -25\/19 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72*98\/(-392))\/((-4)\/(-10)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 5, 3, 15 in descending order.\nAnswer: 15, 5, 3, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 4:46 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 7 = a + a - 3*q, -69*a - 42*q + 163 = -74*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202321001011 + -221?\nAnswer: -202321001232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + (-5)\/(-2))*(-10512)\/(-3942). Solve -l - 72 + 91 = 5*g, -o*l - 4 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 3815*w**2 - 7610*w.\nAnswer: -5*w*(w - 761)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 0 - -817 - (11 - 13). Let d(z) = -109*z**3 + z**2 + 2*z + 1. Let l be d(-2). Let i = l + y. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4\/5 - 192*b**3 - 73704*b**2\/5 - 1543136*b\/5 + 20584332\/5.\nAnswer: -4*(b - 9)*(b + 83)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9*b - 6. Let k(j) = -25*j + 48. Let v(d) = 4*c(d) - k(d). Determine v(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + sqrt(112)*-4*2)**2 + 3.\nAnswer: 5491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23885 is divided by 379.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 + 7*j**2 + 167*j - 1749. Calculate b(7).\nAnswer: -923","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29751263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**3\/3 + n**2\/2 + n. Let s(b) = 1 - 3*b - 6 + 4. Let d = -136 - -139. What is d*s(z) + 5*u(z)?\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/647 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -343.64463 rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4815 and 1035.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*m + 4 = -122*m, 4*u + u + 2*m = 6*m - 219 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 1)*(-150)\/18. Let d be (1*-2)\/((-1)\/v*-5). Let z be (d - 0)*(-3)\/2. Is -0.1 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*b. Suppose 3*j + b*g - g - 68 = 0, 3*j - 62 = -2*g. Suppose -2*d + 11 = -75. What is the remainder when d is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 21*r + 1223 = -20*r, 0 = 3*c + r - 3669. What are the prime factors of c?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -206*k - 34 + 68 + 649*k - 35 as b*k + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40149, -39884, -39619, -39354?\n\"Answer: 265*r - 40414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n + 17. Let i(h) = 2*h - 6. Let g be 1 + -1 + (96\/(-80))\/(2\/5). Calculate g*y(a) - 8*i(a).\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -247 + 127. List the prime factors of -4*(-3)\/s - 8662\/(-20).\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 + 201 + c**3 - 99 - 99 + c**4 - 2*c**3 + 3*c to the form v*c**2 + q*c + i*c**4 + r*c**3 + b and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j**3 + 17*j**2 - 40*j - 635. Is i(-26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3)*6\/(-4). Let k be (0 - (a + 0))*87220\/2. Let j = k - 217610. What is j rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 7*w**2 - w + 4. Let u be k(-7). Let n = 1 + -4. Let v = n + u. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10495004?\nAnswer: 2, 13, 201827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 74610 = -2*y - 4*c, 2*y - 74612 = -5*c. Let r = y - -2699. What is r rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 1, c: 2, g: 1}. Give prob of picking 1 t and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 764459684 to the power of 1\/2, to the nearest integer?\nAnswer: 27649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 25 = -73. Let l = p - -49. Let 0*z**2 + 3\/2*z**4 + 3\/2*z**3 + l + 0*z = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from {a: 1, t: 5, f: 6, j: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 119878*r**2 - 56*r - 1 - 119876*r**2 + (-3*r + 7*r - 3*r)*(-r - r + 4*r) + 0*r**2 - r**2 + 3*r**2 as f*r + c + t*r**2 and give f.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 13*k - 33. Let c be d(-17). Suppose 33*u = c*u - 2. Let b = 33 - u. Calculate the highest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 1\/3*o**3 + 5\/2*o**2 - 1 - 8*o. What is the tens digit of d(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(2 + 3*j - 7*j + j + 5 + j - 5 + (2*j + 4 - 4)*(1 - 2 + 3)).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, -0.1, -1, -2\/115, 1, -0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 998, -5, 4 in descending order.\nAnswer: 998, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 + 5*a**2 - 1 + 10 + 0 - 158*a**2 + 0*a**4 to the form x*a**4 + h*a + q*a**3 + f*a**2 + k and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 224 - 212. Suppose 0 = -f*d + 912 + 780. List the prime factors of d.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1984 less than -12853602?\nAnswer: -12851618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3*-2*sqrt(153) + -1*(sqrt(153)*1 - sqrt(153)))\/(sqrt(324)*1 + -2*sqrt(324) + sqrt(9)))**2.\nAnswer: 612\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let z be d(0). Suppose 26*t + 9 = 29*t. Solve 3*r + z*r + t = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -39, -1\/6, -0.4, 1\/3 in decreasing order.\nAnswer: 6, 1\/3, -1\/6, -0.4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142978089*n**3 + 20927093*n**2 - 6?\nAnswer: -857868534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/819824 and 79\/6.\nAnswer: 2459472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143 + -145. Let t = -138 + 547\/4. Which is the third smallest value? (a) h (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(300) + -3 - (sqrt(300)*-2 + 1) - (1*-1*sqrt(300) + (sqrt(300) - sqrt(300)*-2*3))) + 5 + 4)**2.\nAnswer: -180*sqrt(3) + 2709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25165 - -4133?\nAnswer: 31320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/(-30) + (-33)\/55)\/(-1))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -470, -862, -1252, -1640, -2026, -2410, -2792?\nAnswer: -3172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -41*g**2 - 8\/15*g**3 - 8\/75*g**6 + 0*g + 31\/30*g**4 - 56\/75*g**5 + 0. Let d(y) = 0. Calculate y.\nAnswer: -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 + 81 = -132*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -103*t**3\/6 - 103*t**2\/2 - 30*t. Differentiate b(m) wrt m.\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075373 take away 10.63887?\nAnswer: 1075362.36113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006217 rounded to six decimal places?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 256933.139 to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/4 and -131\/44520?\nAnswer: 44520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1115821156 and 0.4?\nAnswer: 1115821155.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-2\/9)))**(3\/2)\/(v**(-8)\/(v\/(v*(v\/(v\/(v**0\/v*v)))\/v*v))))\/(((v*v\/(v*v*v**9*v))\/(v*v*v*v**6))\/(v**(-1\/7)*v\/v**(-8))) assuming v is positive.\nAnswer: v**(746\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 3:57 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/2 - 44445*h**2\/2 + 22222*h = 0 for h.\nAnswer: 0, 1, 44444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -21\/2. Let o(j) be the second derivative of 0 - w*j**2 + 1\/6*j**3 - 2*j. What is the first derivative of o(z) wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o**3 + 2*o**2 + 16*o + 13. Let a(c) = 6*c**3 + c**2 + 11*c + 9. Let v(b) = 7*a(b) - 5*x(b). Calculate the remainder when 31 is divided by v(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**3\/3 - m**2 + 1. Let h be r(2). Suppose 0 = -2*u + 7 + 5. Solve -u = 2*v + 5*a, -5*a + 9 = -h*v - 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 109255*y**2 + 8.\nAnswer: -109255*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 4)*(570 + 1870*u + 293 - 1868*u).\nAnswer: -20*u - 8630","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/35 - 514\/10. Let l be 6\/(-2) + c*(3 + 644). What is l rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 784*n - 786*n - 5*w, 0 = 4*n - 5*w + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810 is divided by 397.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7686 + 7681. Let d(p) = -25*p**3 + 2*p**2 + 4. Let s(c) = -49*c**3 + 4*c**2 + 7. Determine l*d(g) + 3*s(g).\nAnswer: -22*g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*n**3 + 10*n**3 - 2*n**3 + (0*n - 3*n + n)*(2*n**2 + 0*n**2 - 4*n**2) + n**2 - n**2 - 5*n**3)*(-n - n + 3*n).\nAnswer: 23*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 440342 + 15?\nAnswer: 440401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-3*sqrt(405) + sqrt(405) + sqrt(405))**2 + -1) + (-2*sqrt(405) - sqrt(405) - sqrt(405)) + sqrt(405) + -1 + sqrt(405) + (1 + sqrt(405))*1 + 1.\nAnswer: -9*sqrt(5) + 1213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 512101?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 3:15 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*d**2 - d + 14*d - 15*d**2 + d.\nAnswer: -65*d**2 + 14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 5)*(5*m + 2*m - 5*m) + 2*m - 3*m + 0*m + m + 0*m + 0*m + 503*m - 534*m + 347*m + 336*m.\nAnswer: 650*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -3, 3341?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -6*d - 35. Suppose -2*k - 455 = -d*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 3. Let t be y(0). Suppose -d - l + 83 = d, -t = -l. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4.3, 1, -4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**0*m*m**(-3\/8)\/m*(m*m**(1\/4)*m)**(-17))\/((m**0)**(-40)\/(((m**1\/m)\/m)\/(m\/m**(2\/23)*m))) assuming m is positive.\nAnswer: m**(-7459\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w = -24941 - 322329. List the prime factors of w.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -4 (c) 2 (d) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 17 = j, 2*f - 13 = 2*j - 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-15)*225\/2. What is the highest common divisor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 12 = 2*o. Let b be (-3)\/((-27)\/18) - -1. Determine y so that 22*y**o - 5 - 34*y**2 - 54*y**2 - 38*y**b - 41*y = 0.\nAnswer: -5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 1, -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 - 2*o**2 - 3*o**2 + (0*o**2 - 3*o**2 - 2*o**2)*(-3 + 2 + 2) - 33 - 7*o**2 - 4*o + 63 - 29.\nAnswer: -14*o**2 - 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 297*m - 4758. Determine z(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71006253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 6 + 183. Is -0.1 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 - 9*i**2 + 6*i - 6. What is v(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 7*f**2 + 2*f**2 - 3*f + 6*f**2 + 4. Give i(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f**2 + 3*f - 3. Let b(a) = 4*a**2 + a - 1. Let j(s) = 5*b(s) - 2*y(s). Let c be j(1). Solve c = -3*d + 6*d - 3*g, 5*d - g + 6 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -25*d + 191 + 136*d - 97*d + 6. Determine s(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 694464 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/5*-5*1. Suppose 72 + 11 = -3*u + 4*w, -2*u - 4*w - 22 = 0. Let p = u + 16. Sort p, i, 4 in decreasing order.\nAnswer: 4, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.02, -0.41, 7.9, -0.06 in increasing order.\nAnswer: -4, -0.41, -0.06, -0.02, 7.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 - -69a?\nAnswer: 6aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.1 (b) -5850 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/4692?\nAnswer: 1\/4692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**6\/14 - 3*d**5\/5 + 45*d**4\/28 - 13*d**3\/7 + 6*d**2\/7 + 88. Find b, given that o(b) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4)*(-18)\/3. Suppose -2 = -d*z + 10. What is the second derivative of 9*b**4 - b + 8*b**4 - 6*b**z wrt b?\nAnswer: 132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5048*j**5 + 2512*j.\nAnswer: 100960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 7) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + 4*m**2 + 0*m**2)*(5658*m**2 + 81 - 86 - 5779*m**2) to y*m**2 + o*m + g*m**3 + x*m**4 + k and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 326 - 6*v + 14*v - 94 + 7*v + 2*v. Calculate the lowest common multiple of y(-13) and 1\/(2 + 34\/(-18)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 6:36 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 != -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l = 5*l + 217. Put 5, 4, -3, l in decreasing order.\nAnswer: 5, 4, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-5)\/((-15)\/(-12)). Suppose -m*j + 8*j - 4 = 0. Suppose -j*y - y - 45 = -p, p - 75 = -3*y. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/4)\/(l\/(l\/(l*l**(2\/5))))*(l*l**(1\/3))**(-29\/2) assuming l is positive.\nAnswer: l**(-1259\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 + 158566*r**2\/7 + 1585510*r\/7 + 3963650\/7.\nAnswer: 2*(r + 5)**2*(r + 79273)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i*k**2 + 3*i*k + 3002328*i - 4533*k**2 + 14851 wrt i.\nAnswer: -k**2 + 3*k + 3002328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*l**2*o - 26*l**2 + 2746*l*o**4 + 3*l - 297 wrt o.\nAnswer: -25*l**2 + 10984*l*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b = -38*b + 1725. What is the remainder when b is divided by 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**6\/120 - d**5\/60 - d**4\/24 - d**3\/2 + 3*d**2\/2 - 3. Let q(r) be the second derivative of u(r). What is q(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 9*z - 192. Suppose -z*u - 23975 = -359. What is u rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/2*(-1 + 12). Suppose 0 = 4*g + 3*a - 47, -2*g + 4*g - a = 11. Suppose -i = -y - g. Are y and 3 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 + (-68 - -79 - (-1 + 5))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*s**2 - 2 + 92*s**3 - 207*s**3 + 67*s**2 + 95*s**3.\nAnswer: -20*s**3 + 190*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 1189*f**7\/210 + 158*f**4\/3 - 2430*f**2. What is the second derivative of k(g) wrt g?\nAnswer: 14268*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 307?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -45 + 10 - 24 + 6 - 1588*l - 10. Is r(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 0 = -18. Let t(m) = m**3 - 2*m**2 + 3*m - 3. Let j be t(2). Suppose 4*g - j*z = -8, 4*z + 2 = 18. Solve 2*i + g = a*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21.5 (b) 70 (c) -101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 10:14 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4c24b9 (base 13) to base 8\nAnswer: -6774246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10*a**5 + 8*a**2 + 3*a + 3. Let q(r) = -11*r**5 - 9*r**2 - 2*r - 2. Let f(z) = -3*q(z) - 2*w(z). What is the third derivative of f(u) wrt u?\nAnswer: 780*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2320? (a) -1 (b) -1200 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301*c = -4*j - 297*c - 24, 4*j = -2*c + 12. Put 3, j, -164 in increasing order.\nAnswer: -164, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 20, 3*n = -2*n - 5*r + 640. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1201.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 82, 127, 174, 223?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -588022 + 587990 - f**2 + 4*f + 0*f to the form r*f**2 + x*f + b and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3. Let h(y) = -9*y**3 - y + 16. Calculate h(g) - 3*s(g).\nAnswer: -3*g**3 - g + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263, -1323, -3095, -5579, -8775, -12683?\nAnswer: -17303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 201.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1395 and 496890.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8155*p + 12. Let z(o) = 4076*o - 5. What is 3*d(v) + 7*z(v)?\nAnswer: 4067*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 7*s**5\/60 + s**4\/24 + s**3\/6 + s**2. Let x be (4 + (-7 - -4))\/(-1). Let c be i(x). Solve -b = 2 - c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.29 - -0.09. Let g = -1.031 + 0.031. Put 5, g, b in increasing order.\nAnswer: g, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwrrw. What is prob of sequence wrr?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -5*j**4\/8 - j**3\/6 - 53*j**2\/2 - 2*j + 9. Let s(g) be the first derivative of n(g). Give s(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a**2 - 910 + 3*a + 910)*((0*a**2 + 5*a**2 - 2*a**2)*(-4 + 3 + 0) - 5*a**2 - 2*a**2 + 5*a**2) to r*a + q*a**3 + l*a**2 + x*a**4 + y and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9023, -18054, -27107, -36182?\n\"Answer: -11*i**2 - 8998*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 4)*(-420)\/(-10). Calculate the highest common divisor of m and 1995.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137 + -135. What is the closest to j in -0.4, 2\/9, -3\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.32? (a) -747 (b) 2\/15 (c) -4\/195 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7670300 by 4037.\nAnswer: -1900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 82 + 35 = y. What is the remainder when y is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7006 is divided by 1388?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (3 - ((12 - (40 + -1)) + 10)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 5. Let y = d + 10. Suppose -g = -y*g. Solve 3*j = -g*j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 4*c + 36. What is the remainder when c is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41240506?\nAnswer: 2, 41, 379, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxcxkckdcdgxdxqxddk. What is prob of picking 2 k and 1 q?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 45. Let c(p) = 70*p**2 - 1. Let y be c(2). Calculate the remainder when y\/v*(-8)\/(-12) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a day in seconds?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 1:15 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -565 - -1061. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*z + 71 + 150 = -379*z for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12323 + 12339. Solve -138*m + 141*m = -4*n + j, -4 = 2*m - n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 1:30 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*a + 116*a - 158*a - 4242*a**2 - 1 + 1 - 2*a**2 + (4 - 4 + a)*(-6*a + 4*a + 0*a) + 0*a**2 + 2*a**2 + 0*a**2.\nAnswer: -4244*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 8.\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5 = -u - 0*u, -30 = -2*m + 4*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r. Let g be u(1). Let j(p) = p**3 - p**2. Let w(q) = 530993*q - 530993*q - 2*q**3 + q**2. Give g*w(s) - 3*j(s).\nAnswer: -s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18868 - 2070?\nAnswer: -22048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/8, -1\/5, 0.3, -1011\/8, 5?\nAnswer: -1011\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/22 + (-3 - 180\/(-55)). Solve 0 = -3*q + 2*q - 2*j + 12, -q - 5*j + 27 = d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 109*i - 38*i + 307 = -36, 2*h = -2*i - 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 3\/4, 0.1, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -3, 4.06?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28 + 28 + z**4 + 5*z**3 + 4*z**4 - 2*z**4 + z**4 + (7*z - 3*z + z)*(z**3 + 2*z**3 - z**3).\nAnswer: 14*z**4 + 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32455229 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 451361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 3*s - 2*s)*(4 + 1 - 8)*(0*s + 0*s - s) in the form p*s**2 + f*s + i and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/310453 and -67\/510185?\nAnswer: 72956455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 4*h - 3040 + 2923, 0 = 5*h + z - 15 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*x - x + 30, 5*x - 45 = -3*h. Suppose -h*d = -11*d - 4244. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, p: 5, y: 1}. What is prob of picking 2 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*k - 3445 = 235*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -702, -993, -1474, -2145?\nAnswer: -3006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 151 + 3?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, 26, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7202*o**3 + 13321*o**2.\nAnswer: -43212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3266 and 31861463.\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.9404 to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -95 times 42\nAnswer: -3990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 92*j - 32348. Determine k(352).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9024944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 - 78. What is the nearest to y in -3\/2, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*n + 205*n + 4246 - 1216 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8905 by 30816.\nAnswer: 8905\/30816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 15*j + 17. Let l be i(14). Suppose -8*m + l = -7*m. Suppose -12 = -2*x + 4*k + 16, 0 = 5*x + 4*k. Is m equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355475214 to the power of 1\/2, to the nearest integer?\nAnswer: 18854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/42)\/(-5 + 8*174\/336). Which is greater: p or -9\/79?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-49*s - 55*s + 63*s) - 2*s + 2*s + 2*s.\nAnswer: -39*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*c = 2 - 58, a = 2*c + 91. What is the lowest common multiple of 216 and a?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/2 and 123\/400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 20*l**2 + 9*l - 15. Let k(h) = -7*h**2 - 3*h + 5. What is 17*k(j) + 6*w(j)?\nAnswer: j**2 + 3*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2640387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/44 + ((-67497)\/858)\/(-151).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 + 4)*(-15)\/10. Solve -q = -o*q - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 9 + (-11 - -6). Which is greater: a or 1\/48?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {a: 3, y: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 14 = 4. Let f(t) = t**3 - 10*t**2 - 26*t + 20. Let a be f(12). Let b be 0*((-4)\/4)\/a. Solve 5*s - 2*d - 14 = b, -j*d - 2*d = 2*s - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58\/(-261)*3)\/((-10)\/(-2)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = -3*t - 5*s - 10, 0 = -2*t + s - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 11*w = 1660. Let s = -425 - w. Let b = 1 - 6. What is the second biggest value in s, b, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 < 17174\/1123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285 and 2660.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*n**2 - 7*n + 28011 - 28011 to x*n**2 + q + g*n and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*(144\/15)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 3)*(-3 + 2 + 2) + 4 - 1 + 1 + 118 + 54 - 86)*(2 - 2 - 2*z).\nAnswer: -186*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 19*w + 54 - 26*w - 21. Let k(a) = -4*a + 16. Determine -3*i(l) + 5*k(l).\nAnswer: l - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**5\/60 - a**4\/8 - 7*a**3\/2 - 8*a**2 - 14. Let j(n) be the second derivative of z(n). Differentiate j(m) wrt m.\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12 and 79119627288?\nAnswer: 79119627300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*6\/(-3))\/((-24)\/48)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 10*o**2 + o - 7. Let l be r(10). Suppose 35 = 8*q + l. Factor 28*z - q*z**2 - 21 - 1 - 2.\nAnswer: -4*(z - 6)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198 + 24*b**2 + 198.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = i - 3*q + 2, -4 = 4*q. Suppose -3*w + 2*d = -19, w + i - 9 = d. Suppose 1 = -w*z + 13. Solve 0 = -2*y - 2*x, 0 = -0*x - z*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 10*j**2 - 9*j + 0 - 9*j**2 - 1 - 2*j**2. What is the units digit of z(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 781 + -547. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105703674*w + 105703674*w + 10*w**2.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + 232. Let b = 686\/3 - z. Find the common denominator of -39\/5 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 - 122.006. Let p = -0.094 + k. What is the smallest value in p, 1, -4, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 1:13 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6066.2885 rounded to the nearest one hundred?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 2992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 7. Let l be x(4). Solve 8 - 2 = l*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -62, -133, -208, -281, -346, -397, -428, -433?\n\"Answer: y**3 - 8*y**2 - 54*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 2365898*f**2 + 2366488*f**2 + 1.\nAnswer: 590*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + j - 20. Let r be k(0). Let s = -36 - r. Let i = -7 - s. What is the remainder when 17 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u + 4324 = -81*u + u - u for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = q + 6267*l - 6269*l, -2*q + 20 = 2*l for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8112, -16224, -24336?\n\"Answer: -8112*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33035563.\nAnswer: 11, 3003233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**2 - 72*h**2 - 2 + 2 + 63*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*l = -99*l + 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35177 = 13*c - 37623. Suppose 0 = 4*m + 4*m - c. Does 70 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-7)\/(63\/(-6)) + (-15)\/9. Let d = -3 - -3. Let g be (d + 3\/(-9))*-6. Solve t + 17 = 4*m, t - 1 = -g*m - i*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from ura.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 42 times 71\nAnswer: 2982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2340, -2349, -2358, -2367?\nAnswer: -2376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**5\/60 + 5*k**4\/12 - 7*k**3\/6 - 34*k**2. Let s be (-29)\/(-4) - (-1)\/(-4). Does 14 divide z(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4531, -4528, -4523, -4516?\n\"Answer: n**2 - 4532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 3\/8, -12, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6770098 rounded to three decimal places?\nAnswer: 1.677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*o + 4*o. Suppose 1 = -3*h + n + 5, 2*n = o*h - 7. Suppose 3*i - v - 7 = -1, -3*v + 4 = 2*i. Calculate the highest common factor of h and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**12)\/(((h*(h\/(h*h*h\/(h*h\/(h\/h**(5\/7)))*h))\/h)\/h)\/h))**(-10)\/(h**9\/h**7)**9 assuming h is positive.\nAnswer: h**(414\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -262 - -2412. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-11) - (-225)\/33. Suppose -i - 4*i + 2*v = -5, -i - b = -2*v. What is the derivative of -2*j - 3 + i - 2 wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6010, -24000, -53992, -95992, -150006, -216040, -294100, -384192?\n\"Answer: -x**3 - 5995*x**2 + 2*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*o - 97*o**3 - 97*o**3 + 188*o**3)*(-2*o - 3*o + 3*o).\nAnswer: 12*o**4 + 22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, l: 3, m: 5, v: 1, c: 2}. What is prob of sequence uulc?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5872812ng?\nAnswer: 0.0000000005872812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-425)\/(-34) + 6\/(-4) + 1. Let c be (t + 0)\/((-3)\/(9\/(-6))). Solve v + c = 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/22 - (1 - 2736\/176)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -11329*x. Let h(k) = 6*k**2. Calculate o(h(a)).\nAnswer: -67974*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 54. Let m = 21 + r. Suppose m*b = 337118 - 1129118. Round b to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 6 = o + 1, -20 = 5*g + 2*o. Is (-1533)\/(-14) + g\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 86 (b) -5 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9953 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.4, 2\/13, -0.25, 3 in decreasing order.\nAnswer: 3, 0.4, 2\/13, -0.25, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 3, t: 4, z: 1, m: 2}. What is prob of sequence fz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h - 12. Let m be u(6). What is the tens digit of 202\/m - (-4)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -73 + 4\/3*d**3 - 1\/4*d**4 - 2*d + 1\/2*d**2. Determine y(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6516, -6543, -6570, -6597, -6624, -6651?\n\"Answer: -27*y - 6489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3554822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 4*g**2 - 7*g - 6. Let m be x(-5). What is the second derivative of 51*n**m + 2*n + 51*n**4 - 82*n**4 wrt n?\nAnswer: 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 90b7 - 0?\nAnswer: 90b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-5 - (-6 + 3)). Let p(s) = -22*s**2 - 2 - s**3 + 19*s**2 + 3 - g*s - 3. Determine p(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, b: 9, h: 4}. What is prob of picking 2 h?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -0.4, 30\/11?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*z**2 + (0*z - 2*z - z)*(-7*z + 2*z + 3*z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9)*m**(-2\/5))**(1\/15)*((m\/(m\/(m\/m**(-3))))**(-1\/23))**(-12\/19) assuming m is positive.\nAnswer: m**(-16939\/32775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-5 - 5) + 11 + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 >= -0.92063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21422 - 11030?\nAnswer: 10342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 7*m**2 + 12*m - 17. Let g(l) = 2*l**2 + 6*l + 8. Let s be g(-3). Let d be o(s). Is -7 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 682540 + -4?\nAnswer: 682535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48764 is divided by 16252.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110130 + 2?\nAnswer: 110132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**10*a)))**(-5) assuming a is positive.\nAnswer: a**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c2 + 7bcb?\nAnswer: 7b09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**3 - 2*v - 5. Let t(s) = -s**2 + 1. Let n(j) = -9*j**3 - 4*j**2 - 3*j - 5. Let g(m) = -n(m) + 4*t(m). Determine -6*g(c) - 11*i(c).\nAnswer: c**3 + 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41415 is divided by 7580?\nAnswer: 3515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 0.3. Let k(w) be the third derivative of w**6\/120 + w**5\/10 + w**4\/4 + w**3\/6 + 9*w**2. Let b be k(-5). Sort b, -0.5, x in ascending order.\nAnswer: b, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/2)\/(-12) + 7464\/(-144). Let z = -10 + 14. Calculate the smallest common multiple of z and n\/(-6) + 9 + (-116)\/12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(7\/2)*p*p**(-2\/9)*p*p*p)**(1\/24))**(14\/11) assuming p is positive.\nAnswer: p**(917\/2376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6bcb9 (base 15) to base 5\nAnswer: -41444444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-12*21\/630)\/(4\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 77 - 17cb?\nAnswer: -1754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6848 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (592\/12)\/(1383837\/(-125811) - -11)?\nAnswer: 37, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r - 6. Let k be c(6). Let v be (k\/45)\/((-2)\/(-18)). Suppose -3*l - v = -6*l. Solve 16 = l*n + 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 89c + -14?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -176*k + 178*k - 54, -4*k - 2*w = 36 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 371 - 189 - 182.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, u: 2, c: 9}. Give prob of sequence juu.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Let c(l) = -l. Suppose 0 = -2*x + h + 6, 6*h = -2*x + 3*h - 10. Let y be c(x). What is the nearest to y in j, 3, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - 22197*v**3 + 970860*v**2.\nAnswer: 3*v**2*(v - 7355)*(v - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -4\/7 (c) 1\/2 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 6:47 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 13585 = 37*h - 33*h, -2*a + h = 27206. Round a to the nearest 100.\nAnswer: -13600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**5 - 4752*s**4 + 1396800*s**3 + 8768536*s**2 - 63914820*s - 71281800 = 0. Calculate s.\nAnswer: -10, -1, 5, 597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 2*y**2 + y**3 + 0*y + 3*y + 6. Let n(f) be the second derivative of -f**5\/20 + f**4\/6 - f**3\/2 - 5*f**2\/2 - 37*f. Give 5*b(p) + 6*n(p).\nAnswer: -p**3 + 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*j + 20, b - 6*j = -2*j + 11. Suppose -3*p + 3*d = -5*p + 15, 4*p - 5*d = 19. Let w be b\/((-3)\/p - 0). Which is smaller: w or 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1 + (-339)\/(-15))\/(1872\/18720))\/(1*4)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + 564.01. Let r = -567 + z. What is the fourth smallest value in -0.1, -5, -4, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 47. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 6:55 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 64 + (-14)\/(1 - -1). Suppose -26689 = 44*t - h*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3518 + 0.0482. Sort 2.7, j, 2, -1\/6.\nAnswer: -1\/6, j, 2, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6478187 is divided by 11527?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -193438670 or -193438665?\nAnswer: -193438670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-21) - 132\/(-28). Suppose -90 = -0*s - z*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 55 (c) -439\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 10*d**2 + 10*d + 11. Let p be m(-9). Suppose 6*i - p - 4 = 0. Let g be (-1)\/(-4) + 1\/(-4). Solve n + g*n + i = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(7\/2)*y**8\/y*y**3*y*y assuming y is positive.\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -9*d + 13. What is the hundreds digit of 4940\/39 - 1\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-40)\/(-18480) - 1\/3) + (-8)\/(-28). Suppose -14 - 2 = -4*j. Let q = -4 + j. Which is smaller: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3361.2 - 1.921?\nAnswer: -3363.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9676.077 decades to months.\nAnswer: 1161129.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 + 0.9. Let u = -3 - -2.9999995. Let a = u - o. Round a to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 118*w + 3481.\nAnswer: (w - 59)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (1 - (3 - 5)) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1582*q - 438039 = -10171*q for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 809515152 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/3, -2, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**3\/7 + 3026*w**2\/7 - 193378*w\/7 + 432450 = 0.\nAnswer: -1575, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 20*u**2 + 108*u - 609. Is z(-76) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 1:23 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**5 + 10*k**3 - 16*k**2 - 16*k + 32. Let r(a) = 7*a**5 + a**4 - 21*a**3 + 32*a**2 + 32*a - 64. Let b(h) = -6*r(h) - 15*s(h). Factor b(z).\nAnswer: 3*(z - 2)**3*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17)\/(-6) - 2\/(-12). Suppose 2 = -f*o + 53. Find the first derivative of o - 22*j**3 - 9 - 7 wrt j.\nAnswer: -66*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*l + 74, 24 = -4*b + 40. Is l a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-315)\/35)\/(11*(-30)\/(-1210))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 33?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 times 68.19233?\nAnswer: 122.746194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1091 to three dps.\nAnswer: -0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 5. Let r be (-460)\/(-140) - 4\/14. Let w be n(r). Let q be w\/14 + 152\/(-133). Is -1 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678*l = 412*l + 1596 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/4)\/((-6)\/8). Let l be (-3)\/v*(-5 - -1). Let w(z) = 7*z - 2. Is 6 a factor of w(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 8 - 5)*(5*u - 4*u + 3*u) to the form i*u + h and give i.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(3\/2)*z)\/((z\/((z\/z**(2\/33))\/z))\/z))**35 assuming z is positive.\nAnswer: z**(7945\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 8*p - 1. Let m(k) = 139*k - 146. Let f be m(1). Calculate z(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 - 3.87. Let d = 15 + -6. Let o = d + u. Which is the nearest to 2\/7? (a) o (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 7:53 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*r = 51*r + 3818 - 774 + 652 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1303 + -0.04531.\nAnswer: -1303.04531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 832 by 39341.\nAnswer: 832\/39341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 + 108 = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/8)\/a*a**5)\/(a**(1\/2)*a)**(-8))\/((a**(-1)\/a)**(-36)\/(a**5\/(a**(1\/2)*a))) assuming a is positive.\nAnswer: a**(-413\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -1 + 3 + 4 + sqrt(275).\nAnswer: 6 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10652551 divided by -4459.\nAnswer: 2389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12291*q**5 + 8654998*q wrt q?\nAnswer: -245820*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*n + 18*n = -143936. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55636 a multiple of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 + 7*z**2 - 6*z + 37. Determine d(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*r**2 + 6*r - 10*r + 639*r**5 + 4*r - 11*r**2 wrt r?\nAnswer: 38340*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0039828 rounded to 5 decimal places?\nAnswer: -0.00398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r - 10. What is n(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 10 = 10*u. Determine d so that -16\/3*d - 8\/3 + 2*d**2 + 6*d**u = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - o + 4)*(-59 - 84 - 113 - 125).\nAnswer: 381*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8*j = 3*b - 21, -b + 13 = 2*j. Suppose 10 = j*i - 8. Suppose i*g = -2*g + 276. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0220229 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0 - 11\/24*v**4 + 1\/6*v**3 + 0*v + 9*v**2. Let m = 23 - 22. What is j(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*d - 10, 79*d - 5*r = 76*d + 6. What is the closest to 2\/7 in d, 4\/3, 0.02, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/((-54)\/30) + -5)\/2. Let q = -3 + 4. Let k be 2\/(-8) - q\/8. Which is bigger: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 6*m**2 - 6*m. Calculate h(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*g + 42. Suppose g = s + s. Suppose s - 2 = 2*h + a, -4*h - 1 = 5*a. What is the second smallest value in -0.3, h, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2275 + -2274. Let o(a) = -32*a**3 + a**2 - a + 1. Give o(p).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647029?\nAnswer: 107, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -5*r + 2*i, 2*r - 2*i = i + 18. Solve -s - 5*z = -r, 4*s - 26 = -2*z - z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*h**5 + 3*h + 6?\nAnswer: 1920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/3 + 30684*x + 706130892 = 0. What is x?\nAnswer: -46026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -17253.\nAnswer: 4\/17253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 3123*q**5\/5 - 825*q**3 + 4137. Find the third derivative of c(u) wrt u.\nAnswer: 74952*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 329910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-3\/29)\/n)*n*n**30*n)\/((n\/n**(-6\/11))\/n*n**10))**(-27) assuming n is positive.\nAnswer: n**(-202905\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s + 2*l = -54, 0 = -3*s - 3*l + 45. Let z = 14 - s. What is the units digit of (-3)\/z*(-60)\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = 4*z, 0 = 4*z + 3*t - 0*t + 4. Let j be (-1 - z)\/((7 + -11)\/4). Solve j*l + 4 = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = u + 11, 2*a + 11 = -3*u + 6*u - 18 - 13 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11000010211222 - -22200?\nAnswer: -11000010112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-272.1751\nAnswer: -16.330506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1.1, 0, -8?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmkrkkmvkkkmkkmk. What is prob of sequence vkrk?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1481215\/16 or -92577?\nAnswer: -1481215\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/8 of a day?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 1:58 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/18 - 272\/(-72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-36)*y*y**(2\/61)*y*y assuming y is positive.\nAnswer: y**(-2011\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6346, 12713, 19080, 25447, 31814, 38181?\n\"Answer: 6367*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/7 - -2) + 36\/(-42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zimaozaoooodd. Give prob of picking 1 o and 1 m.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, 292, 0, 19, 8?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -15. Let n = x + -7.3. What is the third smallest value in 8, 5, 2\/15, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*d - d**2 + 1\/3*d**4 - 2\/3*d**3 - 4\/3.\nAnswer: (d - 2)*(d - 1)**2*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, k: 1, x: 1, w: 1, s: 2, b: 1}. What is prob of sequence kwjs?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16648 - -14100854\/847. Let h = g - 80461\/1694. What is the common denominator of -99*(3\/6 - 0) and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5610879.\nAnswer: 3, 623431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4432 = 56*b - 52*b. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35504 is divided by 4436?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 1:09 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 0 + 0. Let l(y) be the second derivative of 0*y**3 - 1\/6*y**4 + y + 0*y**2 + 0. Calculate f(l(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*s**3 - 372*d**2*s + 11*d*s**3 - s**3 wrt s.\nAnswer: -6*d**2*s + 66*d*s - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100)*1*-2 - ((sqrt(1100) - (sqrt(1100) + -1 + sqrt(1100))) + -1))*-5)**2 + (1*sqrt(1100) + 4 + sqrt(1100) + (0 + sqrt(1100))*-5)*6.\nAnswer: -180*sqrt(11) + 27524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1995.72 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213.5 rounded to the nearest 10?\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 159*w**5 - 5*w - 33 wrt w.\nAnswer: 3180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65993 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 2570?\nAnswer: 7710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 7 = 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -516, -522, -530, -540, -552?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -11. Suppose -2*f = 2*f + 2*j, j + 2 = -f. What is the second derivative of o*v**5 - 3*v - v - f*v**5 wrt v?\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*((sqrt(18) - sqrt(2))*6 + sqrt(22)\/sqrt(176)))**2 - ((sqrt(4)\/(-5*sqrt(2)*2))**2 - (2 + (sqrt(22)\/sqrt(176) - sqrt(2)))).\nAnswer: -3*sqrt(2)\/4 + 4502073\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**11*c**1 assuming c is positive.\nAnswer: c**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 1641959\nAnswer: -164195.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 8*x**2 + 36*x + 92. What is q(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1352.4 + 1352. What is the smallest value in 2\/7, a, -187?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45.3 - -45. Let u = 99\/20 + -26\/5. What is the closest to u in t, -5, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-199 - 195 + 103*c + 395 + (-1 - 5 + 1)*(-1 - 2*c + 1)).\nAnswer: -113*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 - 4.02. Let t be 1 + (167\/(-14) - -8 - (-3 + 0)). Which is the smallest value? (a) t (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(sqrt(2736) + -2 - sqrt(2736) - sqrt(2736) - sqrt(2736) - (sqrt(931) - (sqrt(931) + 1*sqrt(931)) - sqrt(931)))**2 + 0.\nAnswer: 320*sqrt(19) + 15232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47807 + 0.03.\nAnswer: -47806.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 15581632396757.\nAnswer: 15581632396758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 10*j**2 - 30*j + 82. Let v be p(12). Sort 4, v, 3, -5 in increasing order.\nAnswer: -5, 3, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 4:28 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2777*y**3 - 3*y + 2*y + 2*y - 3816*y**3.\nAnswer: -6593*y**3 + y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271065?\nAnswer: 3, 5, 17, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*u + 9. Let q(t) = -9*t**3 - 6*t**2 + 6*t. Let l(v) = 17*v**3 + 11*v**2 - 11*v. Determine u*l(j) - 11*q(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49, 51, 53, 55, 57?\n\"Answer: 2*o + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, a: 1, y: 4, j: 2}. Give prob of picking 1 y and 1 g.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193712 + -1.1637.\nAnswer: -193713.1637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 564 - 1023. What is the common denominator of b\/(-162)*(-3)\/20 and -61\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1505893, 3011778, 4517659, 6023536, 7529409, 9035278?\nAnswer: 10541143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3313121 (base 4) in base 10?\nAnswer: -15833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -425, -575, -745, -935, -1145, -1375, -1625?\n\"Answer: -10*b**2 - 120*b - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 371140 smaller than 371157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 258, 748, 1486, 2484, 3754, 5308, 7158, 9316?\n\"Answer: 2*d**3 + 112*d**2 + 140*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 12 - 3. Is (10590\/5)\/(2 - (q - 3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1538, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507697 is divided by 126760.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*u - 20*u - 22*u)*(0*u**2 + 52 - 36 - 2*u**2) to c*u + a*u**2 + f*u**3 + q and give c.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v - 45. Suppose -8*x = -3*x - v. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -22*y**3 + 12*y + 10. Let l(u) = u**3 + 20 + 29 - u - 64 + 14. Give f(p) + 12*l(p).\nAnswer: -10*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 2 + 2*z**2 - 87*z**4 - z**3 - z**2 + 85*z**4 in the form j*z + l*z**2 + g + w*z**4 + y*z**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssj when three letters picked without replacement from {s: 4, q: 1, v: 3, j: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + sqrt(931)*-1*3)**2 + ((sqrt(171)*-2 + sqrt(171) - (sqrt(190) - sqrt(190)*1)\/sqrt(10))*5*2)**2.\nAnswer: -336*sqrt(19) + 25543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 141743\/76 + -1865. Suppose -n = 4*d - 2*n + 3, -5*d = -4*n + 1. Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*q - 5*x = -73*q - 21, -3*q + 108 = 4*x. Solve 6323*c = 6317*c - q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*p**3 + 3 + 201*p**3 - 105*p**3 - 3.\nAnswer: 347*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n. Let b(i) = -5751*i**2 + 2762*i**2 + 2660*i**2. Determine x(b(l)).\nAnswer: -329*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 56 - 147 - 55 + o)*(2*o + 2 - 2).\nAnswer: 4*o**2 - 516*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 + 15*t**2 - 35*t - 301. Determine a(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let u(h) = 20*h**2 + 12*h + 18. Let p(d) = u(d) - 12*y(d). Is p(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -7. Let q be (-22)\/4 - 350\/(-70). What is the closest to 43 in g, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -506 - -494. Let w be 2\/b - 9\/(-55 + 1). Solve 5*z + 0*z - 15 = w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3863 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3. Let q be t\/5 + (0 - -6). Suppose -2*u - 3*v + 22 = 0, -18*v + 17*v = -5*u + 4. Solve u = -4*l - q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/(1110\/184 + -6). Let j = 49 + z. Solve t - 3*t - 11 = -j*l, -3*t - 4*l + 9 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(17) + 1 + 1)**2*6.\nAnswer: -504 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 29*x**2 - 54*x**2 + 24*x**2. Suppose 0 = -5*k + 8*k - 6. Let a(c) = -23*c**k - 63*c + 63*c. What is a(v(m))?\nAnswer: -23*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1643 is divided by 782.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 4*o**2 + o + 3. Let z be y(3). Let q be (-26)\/z*(-3)\/(-2). Solve -5*m = k - m + q, 13 = -4*k - 3*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4 - 386*q**3\/13 + 1702*q**2\/13 - 2350*q\/13 + 1008\/13 = 0.\nAnswer: 1, 63\/13, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -8574 (c) 17\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 69c - -5?\nAnswer: 6a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5.584, -4\/11, -0.05, -4\/5?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t - 2. Let g be m(-1). Solve -x = g - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - 4*(sqrt(605) - -2*sqrt(605)) - -4*(1 + sqrt(605)))**2.\nAnswer: -616*sqrt(5) + 29661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f - 5. Let t be p(-5). Suppose 5*u - 76 = q + 3*q, t = -5*q. Solve h + u = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37236*b**5 + 39928*b**5 - 79922*b**5)*(0 + 0 + 1).\nAnswer: -2758*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2530, 2450, 2396, 2380, 2414, 2510?\n\"Answer: 2*o**3 + o**2 - 97*o + 2624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {m: 4, n: 2, u: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2\/3 + 4*y\/3 - 2 = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + 21*q + 8. Let g be d(-11). Let s = 23 + g. Suppose -3*h + s = 2*c, -c = h + 2*c - 14. Calculate the remainder when 24 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2441289, -2441288, -2441287, -2441286?\nAnswer: -2441285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000239250825 to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42382, -84902, -127408, -169894, -212354?\nAnswer: -254782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 196040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250289 and 25177?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-65) + (-82)\/(-26). Let s(j) be the third derivative of 0*j**u + 0 - 1\/24*j**4 + j**2 + 0*j. Let k(g) = 7*g**2. Determine k(s(o)).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 6*u**2 + 253*u + 2324. Determine q(-11).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.05 = -7153\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + 7*j**2 - 2*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**2 + 27449624*n + 94185232217672 = 0?\nAnswer: -6862406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d**2 + 88*d + 3193. Does 87 divide l(-49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 - 2. Let x = 64.4 - 59.22. Let s = -0.82 - x. Which is bigger: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 254.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -286410 + -678600. Let k = o - -965016.000085. Let t = -6 + k. Round t to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -916 - -918. What is the third smallest value in 18, v, -0.05?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j**2 + 6*j + 2*j**2 + 0*j**2 - 247*j**3 + 246*j**3 + 1. What is o(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsmm when four letters picked without replacement from {s: 1, t: 6, m: 3, w: 4}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(1 + 416\/(-415)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 g when three letters picked without replacement from dqdgglddll.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18456984 to the nearest integer?\nAnswer: 4296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17521442 to the nearest integer?\nAnswer: 4186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 14*g**2 + g + 4. Let l be h(-4). What is the highest common factor of 21 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-155 - -152) + -1 + 1 + -6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -9 + 7 + -3 + -49 + 46 - 38?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 89 + -153 + -34 + -9\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/3)*c\/(c**(4\/3)*c))\/(c**(-5\/2)*c\/(c*c*c*c\/c**(1\/5))) assuming c is positive.\nAnswer: c**(139\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -138*t**2 - 553*t\/2 - 1.\nAnswer: -(t + 2)*(276*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w + 24. What is s(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 3*v + 132. Which is bigger: v or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) - 132\/(-55). Sort i, -4, 0 in decreasing order.\nAnswer: i, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -173412\nAnswer: -1\/86706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(252))\/(2*sqrt(4)*5))**2*-3*2.\nAnswer: -1512\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (25\/35)\/((-5)\/(-2)). What is p in 2\/7*p**3 + 0 + 4\/7*p**2 + j*p = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -251877, -251871, -251867, -251865, -251865?\n\"Answer: -f**2 + 9*f - 251885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 197*f**2 - 9359*f - 92. Determine m(80).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*j - 46*j = -14. Let o(i) = -2*i**2 + 8*i - 41. Let l be o(j). Let t = l + -509. What is t rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4630 + -75775?\nAnswer: -71145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11658 divided by -201?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 73 + 158. Let l = 197 - h. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 10:58 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r**4 + 20*r**4 - 48*r**4)*(-3 - 3 - 9).\nAnswer: 300*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.27 rounded to the nearest integer?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 10 = f, 3*f - 3*k - 21 = -k. Let n(y) = -f*y + 2*y + 2 + y - 4. Suppose -6*l = 31 - 43. Give n(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103 by -2.\nAnswer: 103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23, 21, -31, -157, -381, -727, -1219, -1881?\n\"Answer: -4*p**3 - p**2 + 29*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 24. Let v(u) = u**3 - 4*u**2 - 3*u - 3. Determine v(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2980963?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148.0502 - 148. Round d to 3 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 340*l - 672. Let f be m(-2). Solve 0 = 4*c + z + f, 20 - 4 = 3*c - 4*z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7910438*z. Let y(x) = -19*x. Determine y(j(t)).\nAnswer: 150298322*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 13*c + 9. Suppose -45 = -3*w - 3*n, 4 + 11 = 3*n. Is s(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x. Let o be (-36)\/(-16) - (-2)\/(-8). Let i(d) = 2 - o - 10*d + 9*d. Give i(s(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3937 + 3947. Solve -2*c - 5*f - 20 = -4, -3*c - 4*f - s = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 1220?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 3. Let x(k) = 138*k - 1373. Let c be x(10). Suppose c = -2*q + g*j, -3*q - j = j - 18. Solve o = 2*o - q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvr when three letters picked without replacement from qqlvlrrvl?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/9 (b) 19.9 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 342 and 12.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 3*f + 20. Let x be h(9). Suppose -3*v - x + 170 = 0. Solve 3*p + v*z = -1, -1 = 4*z - 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2, 0, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/11 equal to 47\/142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 341 times 0.1\nAnswer: 34.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 12498. Let g(s) = 3*s**2. What is g(z(m))?\nAnswer: 12*m**2 - 149976*m + 468600012","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 > 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -0.5 (b) -1 (c) -5715 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/8, 0.7, 0.07 in decreasing order.\nAnswer: 0.7, 1\/8, 0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eheeeeeheeheeeeeehe.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + 0*s**2 + 0*s**2 + (-3 + 1 + 1)*(s**2 - 11 + 11) - 44*s**2 - 235 + 235 - 4*s**2 + 0*s**2 + 3*s**2.\nAnswer: -44*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*12\/384)\/(3\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 963 and 55533.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12940000 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*z + 3*q, -3*z - 3*q = -2*z + 3. Let v be 1\/2 + 13\/2. Solve 4*j - v*j = z*l, 2*j = -2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((12\/4)\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 1. Let y = -59 + 69. Solve 3*c + 3*d = n - 0, -2*d + y = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y - 3*y + y + (-9*y + 1 - 1)*(4 - 2 - 4) - y - 2*y + 2*y + (-1 + 3 - 1)*(-y - 7*y + y) to the form p*y + s and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -10 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 76\/(-18) - (-6)\/27. Let x be (-6 + 3 + 33)*(-2)\/s. Suppose 3*k + k + 4*t = 160, 0 = -3*t + x. What is the greatest common divisor of 245 and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 150341621 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.97405 to three decimal places.\nAnswer: 0.974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4 = -8*j - s, -s + 1 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*c - 28 - 110, 3*c + 162 = 3*w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, e: 2}. Give prob of sequence eec.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 5*w**2 + 6*w - 2. Let g be z(6). Let h be 174\/(-11) - g\/(-11). Let q be (3\/(-20))\/(18\/h). Is 0 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4392 + 96*q**2 - 4392)*(q + q + 0*q) + 2*q**3 + 0 + 0 as d*q**3 + x*q + i + t*q**2 and give d.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 5014234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001110111011 - -11001?\nAnswer: 110001111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/4 in -37, 4, -2\/9, -0.056?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 55 = 79. Let c = t - -121. List the prime factors of c.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2363014?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 49\/5 of a kilometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.10213631 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 1212 = -g - 3*v, 0 = -5*g + 5*v + 6020. Round g to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(((-1)\/(-1))\/(-5)). Suppose 5*q - b + 54 = -0*b, -20 = -5*b. Let c = q - -11. Solve -v*y - 6 = -c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*p**4 - 40*p**2 - 4 - 19*p + 2*p**3 + 36*p**2 + 21*p + 25*p**4 to the form c*p + j*p**3 + f + k*p**4 + v*p**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/(1\/(-5 - 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from {s: 3, b: 2, o: 1, v: 1, e: 1, n: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 457053764*u**3 + 194593090 with respect to u.\nAnswer: 1371161292*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/1241 - -62053\/3723. What is the common denominator of 133\/(-44) + (-3)\/24*2 and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.065, -22\/5, 4 in decreasing order.\nAnswer: 4, -0.065, -22\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225744?\nAnswer: 2, 3, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 8*b**2 + 7*b + 2. Calculate the remainder when v(8) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z - 158 + 14 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290216.\nAnswer: 2, 36277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-20))**25 assuming u is positive.\nAnswer: u**(-500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*v + 493*v**2 - 239*v**2 - 241*v**2 to the form w*v + g + q*v**2 and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2448 a factor of 133107552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.07 and 122.669560274?\nAnswer: 120.599560274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y**3 - 5*y**2 - 19*y + 1. Determine r(-3).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4140 and 1242?\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-3) - (0 - 5100003). Suppose 0*f + x = f. Round f to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f = 0. Solve 5*n + 20 + 5 = f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 4, i: 4, d: 5, t: 1}. What is prob of picking 1 i and 1 b?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(7200) - (0 + sqrt(7200))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 413, 3, 65, -9.\nAnswer: -9, 3, 65, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.594 + 3.66. Let v = 10 - 5. Let m = u + v. What is m rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 2*u**3 + 0*u**3)*(1 + 3 - 6) + (0*u**2 - u**2 + 0*u**2)*(0*u + u - 2*u) + (-8*u**2 + 2*u**2 + 3*u**2)*(6*u - u - 3*u).\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 14*x**2 + 4*x - 32. Give i(14).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5198 + -2686. Suppose 0 = 2*t + k - 1003, -9*t + 4*t - k + u = 0. What are the prime factors of t?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**3\/3 + 3*w**2 - 5*w + 1. Let n = -98 - -91. Determine s(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*z**5 + 39*z - 39*z + (3*z**2 + 2*z**5 - 3*z**2)*(-1 + 3 - 1) + (z - 1 + 1)*(z**4 - z**3 + z**3) + 5*z**4 - 5*z**4 + 2*z**5.\nAnswer: -4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -40, -82, -126, -172, -220?\n\"Answer: -y**2 - 39*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135\/2 + -68. Sort 1\/5, -9, k, 3\/2 in ascending order.\nAnswer: -9, k, 1\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -248\/5*g - 48 - 2\/5*g**3 - 68\/5*g**2 = 0.\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9862300 * -26\nAnswer: -256419800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -26*x**3 - 8*x**2 - 12*x. Let i(y) = 77*y**3 + 24*y**2 + 33*y. What is -11*g(l) - 4*i(l)?\nAnswer: -22*l**3 - 8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0, -1\/3, -79, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/3 + 1\/(-3). What is the nearest to h in 2, 3, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 10*p - 801. What is the units digit of t(81)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + 3*y. Let v(q) = -6*q**2 + 8*q. Suppose -1 = 7*n + 55. Determine n*c(f) + 3*v(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2086 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g + 6 = -23*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1988010 by -6.\nAnswer: -331335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 7)*2*4\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-108)\/21)\/(-6))\/((-3)\/(-21)). Let m be 2\/(-3)*(-17 - -11). Calculate the greatest common divisor of m and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 12:14 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10438, 9723, 9008, 8293, 7578, 6863?\nAnswer: 6148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j**2. Let c(q) = 1 - 1 + q. Let k(b) = b. Let s = -9 - -4. Let u(r) = s*c(r) + 4*k(r). What is t(u(m))?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4714, 4712, 4710, 4708, 4706, 4704?\n\"Answer: -2*y + 4716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 4 - 4 + h. Let j(b) = -6*b**2 - 4*b + 2. Let z(m) = 7*m**2 + 2*m - 3. Let y(w) = -3*j(w) - 2*z(w). Let v(i) = 8*l(i) - y(i). Factor v(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 3*t**2 + 0*t**2 - 5 to the form x + u*t**2 + a*t and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.1. Suppose -11*j = -j + 40. Which is the closest to j? (a) f (b) -3\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 53, 5, 3, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16b - 1404?\nAnswer: -1572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-550))\/((-915)\/102 - -9). Let n = 5\/22 + d. Calculate the common denominator of n and -31\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10540*q + 10539*q - 31617*q + 39*q**2 + 342*q**2 + 10538*q.\nAnswer: 381*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 636*p**2 - 636*p**2 - 2*p - 3*p**4 + 2 - 3*p**3 - p**3 to y*p + q*p**4 + j*p**2 + h + v*p**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*c, 5 - 8 = -a. Solve 3 = -n + c*n + j, 4*j + 24 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55863 divided by -1\nAnswer: 55863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.017 plus 7?\nAnswer: 11.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 + -4 - (-2 + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from omxxxxxmo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 172 = 17*n. Let x = -7 + 6. Let a(l) = 23*l**2. Calculate the remainder when n is divided by a(x).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100514 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504 and 2538864.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 110 in decreasing order.\nAnswer: 110, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/76527 and 107\/1560.\nAnswer: 39794040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*k - 16, 4*y - 2*k - 1 = -k. Let a = 23617\/1011 - 9\/337. Let s = -116\/5 + a. Does s = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56817.\nAnswer: 3, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -84423 divided by 9?\nAnswer: -28141\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -797.\nAnswer: 1\/797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 7*k**2 - 2*k + 4. Give r(8).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 3*g - 53 = -33, 0 = 19*b + 4*g - 62 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3502, -48, 1, -6, 3 in descending order.\nAnswer: 3502, 3, 1, -4, -6, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -199 - 7?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2 - n + 1 + 13. Let f be j(6). Let b be 6*6\/(-4)*-2. Calculate the greatest common divisor of b and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 15 = -13. Solve w*v = 12 + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90923910 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22410 and 405?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 12 = 0, -b + 6*b - i - 39 = 0. Suppose 0 = -0*f + b*f - 315. Let y = f - 39. Calculate the smallest common multiple of 8 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i + 0*i)*(-2*i**4 - 3*i**4 + 6*i**4) + (-2*i - 3*i + 0*i)*(-i**4 + 2*i**3 - 2*i**3) + (0*i**3 - i**3 - 4*i**3)*(0*i**2 + 4*i**2 - 2*i**2).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37058 - 3528. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i + 20. What is the remainder when u(-2) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/10899 and 65\/38799.\nAnswer: 46985589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3 - (-7148)\/6. Let m(s) = 75*s + 909. Let x be m(-12). Suppose x*z - t = 86. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, c: 2, u: 3, v: 6, k: 6}. Give prob of picking 2 c and 1 k.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*i + u, 0 = -5*i + u + 8. Let p be ((-6)\/15)\/(3\/(-5)). What is the smallest value in i, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -2. Let f = x + 12. Sort -1, f, 1 in descending order.\nAnswer: 1, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -2. What is the units digit of 5 + 0 - 1*z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1223086775 to the nearest integer?\nAnswer: 34973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3811000 or 3810997?\nAnswer: 3811000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 571.606 microseconds?\nAnswer: 0.000571606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or -110029\/4219?\nAnswer: -110029\/4219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 104697186*c + 2740375189079649.\nAnswer: (c + 52348593)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -8*s + 33. Let h be f(4). Put 2, 0, h, 3 in decreasing order.\nAnswer: 3, 2, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/((o\/o**(-3\/11))\/o*o))*(o*o*o*o\/(o\/(o*(o**(-35)\/o)\/o))*o*o*o)\/o*o)\/(o**15)**(-23) assuming o is positive.\nAnswer: o**(3490\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 18*n**2 + 46*n - 97. Determine o(15).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, -7, 0 in decreasing order.\nAnswer: 2\/23, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 7*c**2 + 2*c - 3. Let v = 39 - 32. Does 11 divide l(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -n + 1372, 4*f + 144 = 132. What is the closest to n in -2\/7, -1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-7)*a)\/a)\/a)\/a*a**(-4))**(-4\/13) assuming a is positive.\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 23*q**2 - 21*q - 39. Let k be g(-24). Let v = 441\/4 + k. Which is the second biggest value? (a) v (b) 0.3 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h. Suppose 3*k + 21 = -3. Let v(r) = -r**3 - 7*r**2 + 8*r. Let b be v(k). Let i(f) = -f + f - f + b. What is i(w(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*a + 5*a. Suppose a = 3*r + r. Solve 0*o + m - 3 = 3*o, -5*o - 3*m - 5 = r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + 20\/(-2 - 3). Let x = d - -15. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9914324753437 + -9914323290483.50000225. Let z = 1462958.5 - x. Let b = 5 - z. Round b to seven decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.9*-5.\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*a - a + 14 - 6*a - 17*a wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 245 + -250. What is the remainder when (22 + 2)*4\/6 is divided by 2 - t\/((-10)\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.431 times -639?\nAnswer: 4109.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-126)\/(-90) - (-1 + -4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/(-308) - 14775\/(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 896*l = 887*l - 27 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 281*y + 19151. What is g(-61)?\nAnswer: 2010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8981985 - 9124*c**4 + 8981985 + (5*c**2 + 0*c**2 - 3*c**2)*(-2 + 2 - 2*c**2) - 3*c**4 + 4*c**4 + c**4.\nAnswer: -9126*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 133 - 35 = 0. Suppose l*q = -25 + 67. Calculate the remainder when (-4)\/(-5) + (-276)\/(-30) is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1 + 9*z + 2 + 0*z + 8*z**2 - z**3 + z. Let c be p(8). Suppose 116*h + 15*h**2 - 11*h**4 - c*h - 35*h**3 + 10 - 14*h**4 = 0. Calculate h.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 7:16 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79*-1 - (547 - 594)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 7\/(21\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 63 = -95 - 178 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.5 - -27. What is the second biggest value in q, -70, 0, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 u when three letters picked without replacement from {l: 5, u: 1, n: 3}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 228*h**4 + h**3*u + 36*u + 5 wrt h.\nAnswer: 912*h**3 + 3*h**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/27 and (49\/(-2) - 2)\/(84\/8).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14453 (base 6) to base 2.\nAnswer: 100100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -103 - 5201?\nAnswer: -5304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -17046.6 to the nearest 100.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, u: 3, s: 2, q: 13}. Give prob of picking 3 u and 1 f.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(11 - 32\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26238331 + x**2 + 26238318 - 78715004 + 26238319.\nAnswer: x**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/11883 and -107\/1088.\nAnswer: 760512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-45)\/(-5) - 13 - -9. Solve -13 = 4*l + 5*v, 3*l - 4*v + u - 3 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 11*u**5\/5 - 16*u**3\/3 - 243*u**2 - 698. Find the second derivative of q(x) wrt x.\nAnswer: 132*x**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 236\/35 + -1833\/140. Let j = -15351\/2276 - 3\/569. Let s = t - j. Which is the second biggest value? (a) 2 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - 3\/((-3)\/29). Factor 42*f + 15*f**2 - 7*f - w*f + 5*f**3.\nAnswer: 5*f*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253371 is divided by 126683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -10*j + 11*j + 23, -2*j - 11 = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/5, 1, 2\/507, 2\/3?\nAnswer: 2\/507","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 937411 to the power of 1\/2, to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -896*l + 6. Let u be o(-2). What are the prime factors of (-16)\/20 + u\/10?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 11*t**5\/20 - 17*t**4\/12 + 10*t. What is the third derivative of b(d) wrt d?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5250, -42337, -143022, -339111, -662410, -1144725, -1817862, -2713627?\n\"Answer: -5301*u**3 + 7*u**2 - u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) + 16\/3. Let v(q) = -3 + 5*q - 5 + 2 + 9 - q**2. Determine v(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 14*d - 10. Let x be p(13). Suppose a + 152 = 4*o, x*o + 2*o - 5*a - 175 = 0. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 less than or equal to 579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 4807*k**7\/105 + 1667*k**5\/60 - 2338*k**2. What is the third derivative of o(r) wrt r?\nAnswer: 230736*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -98*g**2 - 20*g + 2. Let y(j) = j**2. What is l(y(x))?\nAnswer: -98*x**4 - 20*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g - 6. Let x(f) = 1899*f + 432. Let q(o) = -72*v(o) - x(o). Let i(y) = -2*y**2. Calculate i(q(d)).\nAnswer: -12251250*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(-3 - (-5 + 1)). Let j(q) = q**2 + 16. Let v be j(f). Suppose -r + v = r. Calculate the greatest common divisor of r and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 1. Let q(f) = -f**2 + 0*f**2 - 8*f + 0*f - f - 9. Give 18*n(l) + 2*q(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 18 (b) -0.2 (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -205.6 + 205.5157. Let p = -3.0843 - g. What is the second smallest value in -0.49, p, -0.2?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 18 = -2*n, -38 = -5*n - 40*b + 42*b. Sort -21, 4, n, 1 in decreasing order.\nAnswer: n, 4, 1, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.485 - -3.285. Let i = 23399270.79999995 + -23399268. Let v = i - s. What is v rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2206*v**2. Let y(p) = -38*p. Determine y(c(a)).\nAnswer: -83828*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9677125439 - 3.\nAnswer: -9677125442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c**2 + 39*c + 85. Let j(r) = -9*r**2 - 39*r - 84. Let a(w) = -5*j(w) - 6*v(w). Factor a(t).\nAnswer: -3*(t + 3)*(t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/18 + 7740\/162. Let p(o) = 46*o + 2. Let x be p(3). Let t = x - a. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -444. Let g = f + 839. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8323718573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 120350035.3 and 0.\nAnswer: 120350035.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-36 - (-80 - (20 - 36)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 8:43 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 70482 = -2548 - 25700. Calculate the remainder when t is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26649, 215530, 728207, 1726578, 3372541, 5827994, 9254835, 13814962?\nAnswer: 19670273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < -4830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -239159, -478471, -717783, -957095, -1196407?\nAnswer: -1435719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 8.64, 0.1, -1\/5, 9\/11 in ascending order.\nAnswer: -1\/5, 0.1, 0.2, 9\/11, 8.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56*a**2*o**2 - 4*a**2*o + 17029*a**2 + 337*a*o**2 + a + 2*o**2 - 8*o + 20 wrt a?\nAnswer: -112*o**2 - 8*o + 34058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**3 + 2*l + 1. Let o be x(-1). Let i(h) = h**3 - 4*h**2 + 2*h - 7. Let t be i(4). Is o less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6223508 and 635?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 2\/9, 0.063279272, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**5\/30 + s**2. Let n be 235\/94 - 1\/2. Let h(a) = 4*a - 15*a + 5*a + 5*a + n*a. Determine h(o(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59359, -59107, -58397, -57001, -54691, -51239, -46417, -39997?\nAnswer: -31751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2 - 13921*f + 4639*f - f**3 + 4641*f + 4638*f + 5*f**2. Let i(l) = 3*l**3 - 15*l**2 + 8*l - 6. Determine 11*h(d) + 4*i(d).\nAnswer: d**3 - 5*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11076, -3, 727.\nAnswer: -3, 1\/11076, 727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -1046416?\nAnswer: 20928.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 209*g + 636. Let x be h(3). Solve 5*p - 4*v - 1 = x, 4*v + 33 = -p + 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(25)\/(sqrt(10)\/sqrt(2)) - sqrt(5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 7:32 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:06 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3710\/(-140) - -26)\/(-2 + 46\/4)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.068, -0.1, 0 in ascending order.\nAnswer: -0.1, -0.068, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1311*s**2\/4 - 136281*s\/2 + 6552.\nAnswer: -3*(s + 208)*(437*s - 42)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60 - 5) + -105 + (107 - 35).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 7*l - 15*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -265 - -152. Let d = 124 + f. Let y(l) = l**3 - 4*l**2 - 8*l - 4. Let s(w) = -3*w**3 + 11*w**2 + 23*w + 11. Let b(i) = d*y(i) + 4*s(i). Factor b(n).\nAnswer: -n*(n - 2)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -14. Suppose 5*d + 2*z = p, -3*z + z = -10. Let d*u**2 - 3*u**3 - 2*u**2 - 4*u**2 + 7*u**2 = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -88, -71, -4, 9, 1 in increasing order.\nAnswer: -88, -71, -35, -4, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19999043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 810 divided by 270.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120 - -312. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, b: 5, t: 3, k: 4}. What is prob of picking 1 k and 1 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 + 6)*(-1 - 2 + 0)*(0*i + 14*i + 6*i).\nAnswer: -180*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**7)\/t**(2\/17))**45 assuming t is positive.\nAnswer: t**(6795\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 789117 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 71*h - 1241 = 0 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 1. Suppose -3*l + 22 = 5*c, 10 = -3*c + 4*c - 5*l. Suppose -4*p - c*r = 5, -4*r - 4 = -p - 21. What is the units digit of x(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.3. Suppose 344 + 296 = -37*y - 91*y. What is the closest to o in 5, -23, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304 (base 5) in base 15?\nAnswer: d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 13 = -5*r, 5*i + 2*r + 65 = 3*r. Let h = -0.5388 - -2.5388. Which is the closest to i? (a) -0.5 (b) -1\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 + (3 - 3 - 5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10*y + 31. Let d be w(3). Sort 4, 31, d in increasing order.\nAnswer: d, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**7\/840 - r**6\/240 - r**5\/20 - 19*r**4\/24 - r**3\/6 - 5*r**2. Let w(b) be the second derivative of h(b). Factor w(i).\nAnswer: 3*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 12*h + 8. Let i be 2\/13 - (1701\/(-117))\/3. Calculate l(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by 155?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Let t be 234\/30 + a\/10. Solve 5*s = -2*y - 25, -5*y - 2*s = t + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18217097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23243523 (base 9) in base 14?\nAnswer: 17049c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -421.7485 - -4.\nAnswer: -417.7485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**(-6)\/p*p)\/p)**14)**(7\/5) assuming p is positive.\nAnswer: p**(-588\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 21, 31, 43?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -93 + 87 - (-1 + 2 - 631). What is the highest common factor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*k**2 - 1782650 + 1782650.\nAnswer: 104*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 7105\/98 - (-3)\/(-6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 5\/(5\/2). Let x(f) = s + f + 2*f - 3 - 6*f. What are the prime factors of x(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (328\/(-6))\/(((-640)\/24)\/20)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38, 152, 336, 584, 890, 1248, 1652?\n\"Answer: -u**3 + 41*u**2 - 2*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 7273 = 7187. Suppose 2*l - o = -3*f, -2*f + 3*f - l = 395. Does 21 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**4 - 1600*c**2 - 5*c - 2262.\nAnswer: -36*c**2 - 3200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 + 2*v**4 - v**4 + 2*v**3 - 3 in the form o*v**3 + k + h*v**2 + q*v + p*v**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -62, -80, -134, -236, -398, -632?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 5:10 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8933, -8935, -8939, -8945?\nAnswer: -8953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.98758003 rounded to two decimal places?\nAnswer: 44.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 68*z**2 - 582*z + 5. Calculate f(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 48, 42, -3, 1 in descending order.\nAnswer: 48, 42, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396614?\nAnswer: 2, 31, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440924888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 3 - 1 + 2 + 1 + (-3 - 1 + 6)*(1 + 4 - 3) - 2 + 4 - 1)*(-7*t + 28*t + t) to the form h*t + p and give h.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuug when four letters picked without replacement from {z: 1, u: 2, n: 1, l: 2, s: 2, g: 1}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - y**2 + 2*y - 1. Let f(w) = 5*w**3 - 7*w**2 - 70*w - 7. What is -f(g) + 6*u(g)?\nAnswer: g**3 + g**2 + 82*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 424\/(-371)*(-91)\/(-26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)*-2)\/(sqrt(24)\/sqrt(36)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x - 48. Suppose -f + x = 2*f. Suppose -5 = 3*q + f. Let s(d) = -d**3 - 3*d**2 - 2*d. Give s(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.09, -0.3, 59, -5\/7, 101, -1, -4?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 29. Suppose 5 = -b - 4. Let c = b - s. Calculate the remainder when 43 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4382721 by 7.\nAnswer: -626103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.30795 + -28.33395. Let d = -0.026 - q. Is d at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucuu. Give prob of picking 1 c and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3))**(1\/5)\/(h**(2\/7))**24 assuming h is positive.\nAnswer: h**(-734\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1\/3, -0.2, -0.4, -3, 2.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 336, 880 in decreasing order.\nAnswer: 880, 336, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9*(-40)\/(-210))\/(2\/(-3073)). Suppose -4*w + 5*o + 2676 = 0, -4*w - 3*o + i = -42. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(171)*1 - ((-1 + sqrt(931) - sqrt(931)) + sqrt(19) - sqrt(19)))**2 - (sqrt(19) + (sqrt(2299)*-1)**2 + -4)).\nAnswer: -2127 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-7))\/(3*(-15)\/350). Let w = z + -7. Which is the closest to 0? (a) -0.4 (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 22, 4, 0.3, 57, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 770, 1543, 2316, 3089?\n\"Answer: 773*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2653 + -1815. Let m = v - 248. What is m rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11210151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653 is divided by 584?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 11. Let h = v + 5. What is the common denominator of 67\/20 and (h*1)\/((-56)\/74)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593249?\nAnswer: 17, 34897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - -3.4. Suppose 3*j + 0*j - 9 = 0, j = 2*a + 13. Let o = 0 - -3. Put f, o, a in descending order.\nAnswer: f, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 11000100010010?\nAnswer: -11000100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) -6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-6))\/z**25 assuming z is positive.\nAnswer: z**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1369 to three decimal places.\nAnswer: 0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15 + (-27470)\/(-1830))\/(7\/(-3) + 2). Let y = -4.28 - -0.28. What is the second biggest value in -2\/11, y, -3, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 21 (c) -1 (d) -64\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -437 + 1321. Suppose -3*p - 299 + x = 0. What is the greatest common factor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -10002020201111100?\nAnswer: 10002020201111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 403426 = -333677 + 129300. What are the prime factors of x?\nAnswer: 103, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 20, -3*h - 4*w = -64 + 2. Let f be (8\/h)\/((-2)\/(-7)). Solve -f*u = -2*p - 10, 6*u = 4*p + 3*u + 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2769541?\nAnswer: 2769541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {o: 7, w: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 2*b + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 9:27 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*a - 2*d, -4*d + 1 = 200*a - 201*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 5*f - f)*(-62 + 16*f**3 + 62) - 3*f**2 + 3*f**2 + f**4.\nAnswer: 81*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11800 - -11803. Suppose -4*j - 4*u - 52 = 0, 0*j - 38 = 3*j + 2*u. What is the nearest to j in -0.3, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5930 = -5*l + 170*c, 2174*l = 1084*l + 1085*l - 2*c + 90 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {y: 2, g: 4, r: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r**2 - r + 1. Let i be (-104)\/18 + (-4)\/18. Let t = 14 + i. What is the remainder when l(1) is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -23.6. Let g = 24.6 + -20. Let i = g + u. Which is the second biggest value? (a) 1 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 17 = j, 2*h - 28 = 2*j + 12. Suppose 61 = -2*b - 9. Let k = j - b. What is the highest common divisor of k and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5222497638 and 0.04.\nAnswer: -5222497637.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.038 + -0.162. What is the nearest to 3\/2 in -0.4, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 23 + 29 = 3*p, 5*x = -5*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d**(2\/3)\/d))*d**(-1)*d)\/((d\/(d\/d**0)*d)\/d*d*d**(-4)))**(10\/3))**(26\/5) assuming d is positive.\nAnswer: d**(416\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 2*s - 8. Let l(q) = -6*q**2. Let j be l(1). Does 16 divide w(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275 and 168245.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - 0.8. Suppose 0 = 2*p - k - 1 - 8, -27 = -p + 5*k. What is the second biggest value in q, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/40024809 and 127\/132?\nAnswer: 160099236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + -82. Let y = i - -150. Factor 3 + 44*h - y*h - 3*h**2.\nAnswer: -3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**2*s**2 + f**2*s*y**3 - 2*f*s**4 + f - 388*s**2*y**3 + s*y - 60*y**3 - 4*y wrt s.\nAnswer: 8*f**2 - 24*f*s**2 - 776*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 452546*d. Let f(t) = 1805*t. Calculate s(f(y)).\nAnswer: 816845530*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -0.05139, 4 in descending order.\nAnswer: 4, -0.05139, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6241 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + k - 5*k**2 - 2*k**2 + 13 - 4*k**2. Let r be z(-11). Let m = r - -8. Solve 3*w - 5*w = -m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 16. Let x be (5\/(-15))\/(g\/6). Factor 0 - 2\/7*t - x*t**3 - 4\/7*t**2.\nAnswer: -2*t*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*q = 39, 29 + 44 = 4*j + q. Which is the closest to 0.5? (a) -2\/11 (b) 0.3 (c) -2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + y - 6. Let f = y + 6. Find d such that -d**3 + 6*d**2 + 1 + f - 3*d - 3*d**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -20?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**4\/5 - 2*t**3\/5 + 2*t**2 - 6*t\/5 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 5)*(0*o - 5*o + o)*(-476 + 178 - 231) to the form q + f*o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -108*m**2 - 98*m**2 + 4*m + 209*m**2 + 1. What is o(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**3 - g**2 - 4*g - 6. Let j be d(-3). Let o = -50 + j. Calculate the remainder when o is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 152826497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 41 + 5 = -5*d, 0 = -3*r + 32*d + 86 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**4 - 1260*x**3 - 13569*x**2 - 29340*x + 44172 = 0.\nAnswer: -409, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**4 - 484775*k**3\/4 - 4724925*k**2\/4 - 3270875*k\/2 + 484580 = 0?\nAnswer: -24229, -8, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from iiimmgkkskmkkga?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (0 - 1 - ((4 - -23) + -25)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 5) to base 4\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 8:37 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-188)\/(-95) + (-92)\/(-4370)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**3 + 11*h**2 + 24*h - 1. Is m(-2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 2571\nAnswer: 16\/2571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/8 - 39\/(-12). Let s = -937 - -942. Which is the smallest value? (a) s (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/9 + 891*b + 517010\/9 = 0. Calculate b.\nAnswer: -7954, -65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -101242?\nAnswer: -101300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -7*z**2\/2 + 7. Let w(h) = -3*h. Calculate w(b(s)).\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 3:03 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + (-4 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -34*g - 1613. What is r(16)?\nAnswer: -2157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 9. Let s(i) = -o - 2 - 2*i - 4 + 6. Let d(w) = 10*w + 16. Let b(v) = -v**3 + 4*v**2 - 2. Let l be b(4). Determine l*d(m) - 11*s(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, -1, 0.4 in ascending order.\nAnswer: -1, -0.22, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -1\/2*q**3 - 1\/12*q**4 - 2*q - q**2 + 0. Solve k(p) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - 3056\/504 - 4\/(-14). Let j = 3 - 2. Which is the nearest to 0.1? (a) -0.1 (b) r (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 49354*g + 49355*g - 102 = 0, 82 = -3*s - 2*g for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 10:30 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*x**4 + 579*x**3 - 244326*x**2 - 212088*x - 32640 = 0. Calculate x.\nAnswer: -80, -2\/3, -1\/5, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, j: 1, b: 10, l: 1, s: 2}. What is prob of picking 2 x?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503 < 1593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500 = 9*u - 256. Suppose -u*n + 236 = -80*n. Does n = 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00054217 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1257442763?\nAnswer: 79, 3467, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -829876, -1660104, -2490332, -3320560, -4150788, -4981016?\nAnswer: -5811244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1)*o*(o*o**(-5))\/o*o)**(-8\/5))**(3\/17) assuming o is positive.\nAnswer: o**(24\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5 - 3*k - 5. Let v(r) = 24*r + 5. Let p(i) = -10*i - 2. Let z(u) = 5*p(u) + 2*v(u). Give d(z(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p**2 + 2*p**3 - 188*p**2 - 7*p**2.\nAnswer: 2*p**3 - 220*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 46*z = 462 - 314 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/5))**(2\/29)*(f*((f*((f\/(f*f*f**(-14)\/f*f*f))\/f)\/f*f*f)\/f)\/f)\/(f*f\/f**(-9\/4)*f*f))**(-18\/7) assuming f is positive.\nAnswer: f**(-30159\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*k - 3*u, -4*k + 3*u = -2*u - 20. Suppose 3*g = -3*w - 3, 5*g + 37 = 3*w - k*g. Let s(c) = -200*c. Let f be s(w). Round f to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (1 - 6 - -7)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - 0. Let o = m + 7. Solve -g = -5, -o*q - 27 = -4*g + 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/12? (a) -3 (b) 0.056 (c) -2.64 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37324 and 160701148?\nAnswer: 5332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 0, -0.03, -0.058?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7356\/5 + -1472. Which is the second smallest value? (a) 8 (b) 14 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-27))\/((-19)\/(-2394)*14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 749394*f - 14239569.\nAnswer: 3*(f - 249817)*(f + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k, 0*k - k + 145 = 5*t. What is the greatest common divisor of t and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 11443395?\nAnswer: 11443395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.225 - -0.225000139. Round u to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-12) - 122\/(-30). Let d = x - 39\/10. Are d and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 - 2*m**3 + 3*m**2 + (0*m**3 + 3*m**3 + 0*m**3)*(16 - 11 - 61).\nAnswer: -170*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -24. Suppose i*d = 3*j - 5, 2*j = -0*d + 5*d. Factor 8*z**d - 11*z**2 + 4*z**2 - 3*z.\nAnswer: z*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czccczc. What is prob of picking 3 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**6\/40 + i**5\/20 - i**4\/4 - 5*i**2. Suppose a(h) = 0. What is h?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12133310 (base 4) in base 3?\nAnswer: 1100111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 7*x + 6. Let i be f(-7). Let n = -12 - -20. Let l = n - i. Is l less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**6\/60 - k**5\/15 + k**4\/8 - 2*k**2. Let s(r) = 4*r**3 - 7*r**2 + 5*r. Give 7*q(p) - 4*s(p).\nAnswer: -2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -150, -623, -1416, -2529, -3962, -5715?\n\"Answer: -160*s**2 + 7*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1 - -351)*(-889 - -892). Solve -n*k + 3 = -1053*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 990904 is divided by 41264.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/40429374 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2. Let a(o) = -4*o + 55. Let d(b) = 7*b - 83. Let p(w) = -8*a(w) - 5*d(w). What is k(p(z))?\nAnswer: -18*z**2 - 300*z - 1250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x\/(x\/(x*x*x*x**(2\/3)*x*x))))*x**(3\/5)*(x\/x**(2\/7))**(-28)*(x**7\/(x*(x\/(x**(-3\/4)\/x))\/x))**(9\/8) assuming x is positive.\nAnswer: x**(-4297\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 64?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(539)*-1 - (-2 + -1*sqrt(539)))**2.\nAnswer: 56*sqrt(11) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 9:25 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x**2 + 4*x + 33. Let q(j) = -j**2 - j - 6. Let r(o) = 2*h(o) + 11*q(o). Calculate r(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6+-2730458014\nAnswer: -2730458013.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 2*z - 4. Let c be h(4). Let a(u) = u**3 + 8*u**2 + 8*u + 3. Let q be a(-7). What is the smallest value in q, -0.1, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1 + 2 + 5*h + h**3 + 1 - 7*h**2 + 3. Let x be s(6). Let c = -43 - -302\/7. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2475 and 4254480.\nAnswer: 233996400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 11. Let s be a(-8). Let g be 4 - (9\/s - 4). Let k(j) = -5 - 4*j**2 + j**3 + 0*j**3 + 4 - 3*j. Calculate k(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*l + 8 = 0, 5*l + 11 = 4*q - q. Let d = 1 - 5. Let t = q + d. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18249664*k**2 - 50159160.\nAnswer: -36499328*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22534 (base 7) to base 15.\nAnswer: 1a8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.982 plus -130333954?\nAnswer: -130333956.982","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 {f: 3, w: 9}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 0*m**5 + 0*m - m**2 + 1\/1260*m**6 - 1\/84*m**4 + 0 - 1\/2*m**3. Let f(c) be the first derivative of j(c). Factor f(k).\nAnswer: 2*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 7. Suppose 4*i + 31 = m, -a*m = -2*m + 2*i - 49. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-25*(-25)\/(-7500)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1891\/4 (b) -0.2 (c) -0.9383 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 3)*(26 - 71 + 5)*(-8 + 8 - 4*c)*(-3 - 4 + 6)*(-2*c**2 - 2*c**2 + 2*c**2) in the form f*c**3 + u*c**2 + t*c + y and give f.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2*o - 6 = 0, 39*t - 3*o + 10 = 41*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b8a (base 12) to base 11\nAnswer: 12a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*s + 1)*(54*s - 138*s - 4 + 79*s).\nAnswer: -10*s**2 - 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 19\/4 of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 121.7, 51 in descending order.\nAnswer: 121.7, 51, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 38 = -4*u, 15 + 19 = 4*u - 3*r. Solve 0 = u*a - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22681*k + 2*k**3 + 20*k**2 - 10*k**3 + 22678*k in the form f*k + w*k**3 + q*k**2 + p and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(672)\/(sqrt(24)\/sqrt(2)))\/sqrt(8).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 445947115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3 + 1 - 5*g - 2*g. Suppose -9*q - 4 = -10*q. Let t(r) = -8*r + 5. Determine q*t(m) - 5*h(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59923 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.9, 21, -2, 60, 5, 1\/2 in decreasing order.\nAnswer: 60, 21, 5, 1\/2, -2, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9*((-2)\/26)\/(1*-3). Let x = 77\/221 - r. Let f = 3.16 - 3.1. What is the closest to -1 in f, -4, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -395 or -396?\nAnswer: -395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000190327 rounded to 7 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 35*v**2 - 78*v - 146. Let f be u(-37). Which is the nearest to f? (a) -19.1 (b) -1 (c) 1\/3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42526666 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130343?\nAnswer: 130343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 11*j**4 - 3 + 1 - 24*j**4 + 2*j + 11*j**4 to c*j**3 + q*j**2 + o + f*j**4 + u*j and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 8*o**2\/3 + 2095670*o + 1571752\/3 = 0.\nAnswer: -785876, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwb when three letters picked without replacement from hwhbbbhbwbwbbw.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 20*w - 3. Let s(t) = 21*t. Let d be s(-1). Let v be k(d). Let i = v + 38. Is i bigger than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2 + 4. Let x = b - 10. Let u = x + 10. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -6482*x**3\/3 - 7462*x. Let r(d) = 2*d**2. Calculate r(k(y)).\nAnswer: 336130592*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 6*o + 5. Let p be m(-6). Suppose -78 = -0*a - 3*a - p*t, 0 = 2*t. What is the remainder when 75 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -18*l**3 - 3*l**2 - 5. Let h(r) = 19*r**3 + 4*r**2 + 6. Suppose 6*j - 4 + 19 = -3. Give j*h(f) - 4*i(f).\nAnswer: 15*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*s + 4*u + 2, -u = -3*s - 58. Let t = 23 + s. Let h = 28 - 17. Solve 0 = t*j - h - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30563287*h**2 - 103746862*h wrt h.\nAnswer: -61126574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59876*t + 10*t**3 - 119742*t + 59866*t.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 93678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2 + 16*a + 31. Let w be v(9). Let r = w - -317. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 13*b - 28. Let c be g(15). Solve -5*i + c*x = -19, 2*x = 3*i - 10 + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 773.8 + -774.1. Which is the fourth smallest value? (a) 5 (b) -1\/6 (c) v (d) -53 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22834*r**3*z + 4908*r**3 - 8671*r*z + 26945 wrt z.\nAnswer: 22834*r**3 - 8671*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126848?\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-1)\/((-29)\/203))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23766284.7363492 - -0.1?\nAnswer: 23766284.8363492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-496)\/16 - -43?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398 = 3*j - 2*x, -20 = -6*x + 2*x. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x = 0. Let t = 3 + -4. Put t, x, 5 in increasing order.\nAnswer: t, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**2 + 8*x - 1 - 6*x - x**4 - 8*x**3 - 7*x**2 to i*x**3 + u + q*x**2 + p*x**4 + z*x and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-885 - 66 - 305)*(5 - t - 5) as f*t + j and give f.\nAnswer: 1256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (34 + 140)*6\/(-9). Is c < -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 87*b - 135. Let k be s(3). Let m be 1*-4 - (2 - 128). Let g = k - m. Solve -4*w - 4 = g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -95*(-2)\/4 - (-12)\/(-24). Let f = 53 - s. Does f = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = x - 34, 4*t + 2*x - 36 - 12 = 0. Suppose 7*m - t = 2*m. Suppose a - 5 = -m*p + 8, a = -5*p + 13. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) + (-888)\/21. Let g = 380 - 348. Let s = c + g. Which is smaller: -12 or s?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 79.11761 weeks?\nAnswer: 797505.5088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4bc (base 15) to base 6.\nAnswer: -4553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*sqrt(57)\/sqrt(3))**2.\nAnswer: 40*sqrt(19) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.308 + -0.008. Let h = -2.9 - -5.6. Let r = h + d. What is the closest to -4 in -3\/2, -0.5, r?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 3*d**2)*(2*d**2 - 2*d + 2*d + (-d**2 - d**2 + 0*d**2)*(-1 - 1 + 0) - 655 + 655 + 27*d**2).\nAnswer: -99*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 13) to base 15\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1340 - 56?\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005817229 to six dps.\nAnswer: 0.000582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70304408*g**3 - 5*g + 2692908 wrt g?\nAnswer: -421826448*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-49)\/(-6)*(-30)\/(-4). Let x = h - 61. Let f = 0.1 + -0.1. Which is the closest to x? (a) -2\/9 (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 131*i - 15563. What is the remainder when (-75)\/(-1) - 1\/(-1) is divided by h(119)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/5)\/z**(-2\/3)*z**(-8)\/z*(z\/(z**(3\/4)*z))\/z assuming z is positive.\nAnswer: z**(-653\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -3\/799 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**4\/12 - q**2. Let v(b) = b**2 - 2. Let l be v(3). Let s(u) = 4*u**2 - l*u**2 + 24*u**2. Determine s(t(d)).\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -70571749 and 1431588.\nAnswer: -69140161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, 3\/7, -3\/2, -8727?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2 + 35615116*d + 317109121923364 = 0.\nAnswer: -17807558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c**3 - 5 + 17*c**3 - 2*c**2 - 29*c**3 + 15*c**4 - 17*c**4 as r + l*c + t*c**4 + i*c**3 + m*c**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - 1.6. Let u be (4\/15)\/((-4)\/(-10)). What is the nearest to -0.1 in 0.2, q, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 720*g - 2*n - 7 = 717*g, -3 = -3*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*t = -12. Let f(x) be the second derivative of 1\/3*x**3 - 1\/6*x**t - x + 0 - 1\/4*x**2. Find l, given that f(l) = 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2554 + 2550. Which is the nearest to 1? (a) 1\/9 (b) o (c) -10 (d) 0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -113, -548, -1279, -2312, -3653, -5308, -7283?\n\"Answer: -u**3 - 142*u**2 - 2*u + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 0 = 281*b - 276*b, -8*m - b = 26 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (13 - -42) + -2*(-3)\/(-2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**3\/2 - 31*c**2\/2 + 217*c\/2 - 185\/2 = 0.\nAnswer: -37, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69426 and 4332?\nAnswer: 2638188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 18 = 69. Suppose -4*w - 28*j = -23*j - 217, 5*w - 287 = -j. Let k = w - h. What is the lowest common multiple of 1 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*j - 6 = 0, 3*q + 2*q - 12 = -4*j. Suppose 0*g + 2*g + 4*f = q, 3*f = -g + 2. Let v = g - -8. Solve 10 = 2*o + 4*p, o - 4*p = -v*o - 31 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52186 and 3497?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-14) + 10370\/119. Let f = 38 + o. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -56*s**3 - 618*s**2 + 1500*s + 16744. Give z(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76861537 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*b - 251*b - 2*b**2 + 86*b + 84*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 g when two letters picked without replacement from fng.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**7\/280 - w**6\/360 + w**3 - 1. Let n(a) be the third derivative of y(a). What is the third derivative of n(v) wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n + 6*n**2 - 4*n**2 + n**2 - 28*n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = -2 - 28 - 8. Sort 110, h, -1 in descending order.\nAnswer: 110, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54411 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h + 184 = 60. Sort h, -1, 71 in increasing order.\nAnswer: -1, h, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 - 19*p - 9. Let f be r(-6). Sort -2, 2, 13, f.\nAnswer: f, -2, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 518627816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 274304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, 1, 0.42?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11424938867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 - 7*x + 1. Let h be f(-2). Let z be -20*h\/(10\/(-8)*6). Is 12 a factor of 36\/(-1 - (-11)\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -142\/8633725?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 45*w + 115. Give t(11).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, o: 2, c: 4, y: 3}. What is prob of picking 1 y, 2 v, and 1 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 + -74. Suppose 489 = -j*v + 14*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**7\/2940 + t**6\/420 + t**5\/140 + t**4\/84 - t**3\/3 - 3*t. Let m(c) be the second derivative of s(c). Factor m(x).\nAnswer: 2*(x + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + v + 409 = 0, -18*h - 3*v - 93 = -19*h. Suppose 4*k - 53 = -3*s, 24 = -2*k + 4*k + 4*s. What is the remainder when h is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4476789 to the nearest integer?\nAnswer: 2116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*w - 4054, w + 26 = 22. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(sqrt(110)\/(sqrt(20)\/sqrt(4) + sqrt(5)) + (-3*sqrt(132))\/sqrt(6))\/(sqrt(200) + sqrt(50) + sqrt(200)*-3).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -21\/53240 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 2*n - 6*n. What is the remainder when 103 is divided by (-8 + 3)\/((-1)\/(n\/2))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-35 + (-7 - -5 - (10 + -22)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -893b24 (base 13) to base 5.\nAnswer: -1312021443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 3, c: 1, o: 4, p: 1, i: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-180)*50\/20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 2*t**2 - 10*t - 1. List the prime factors of a(8).\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 3*r - 27. Determine b(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 267, 209, 137, 45, -73?\n\"Answer: -d**3 - d**2 - 48*d + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.59 (b) -1\/8 (c) -8\/11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*g + 179 - 18 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 4*r**2 - 8*r - 5. Calculate y(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582098?\nAnswer: 2, 11, 26459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 199945864 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 6658*z + 7569*z - 2907*z as k*z + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 573, 968, 1741, 3018, 4925?\nAnswer: 7588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195425 and 5025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2875 and 10948?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 17*o**2 - 76*o - 98. Let x(m) = 3*m**3 - 50*m**2 + 226*m + 293. Let b(j) = -14*r(j) - 4*x(j). Determine t, given that b(t) = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 smaller than -827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69868666523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 13*t + 15*t - 5 = 0, 3*t = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/16)\/(-4*7\/448)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(1\/7))\/j*j*j)\/(j*j*(j**(-3\/4)\/j)\/j*j*j*j)*j*(j\/(j\/(j\/j**(-1)))*j)\/j*j*j**0)**(2\/27) assuming j is positive.\nAnswer: j**(101\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31034, -31037, -31040, -31043, -31046, -31049?\nAnswer: -31052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 55 = -22. Suppose 10*b - p*b = -136. Is 34 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, d: 1, x: 1, y: 1, a: 1, o: 2}. Give prob of picking 1 h and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/5 + 31536*p\/5 - 831782 = 0. Calculate p.\nAnswer: 133, 15635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 195566?\nAnswer: 195564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34202 + 38302. List the prime factors of w.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12603 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: Let x(p) = -p - 1. Let u(g) = g**2 - 7*g - 8. Let s be u(8). Let i be x(s). Let y = i - -4. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -14*h**2 - 3*h - 1. Let s be q(-1). What is the third derivative of s*l**5 - 7*l**2 - l**6 - 6*l**6 - 25*l**5 wrt l?\nAnswer: -840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 213 + -1078\/5. Do g and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/(-45)*20\/(-6). Let m(r) = -187 - r**v + 187. Let w(z) = -16*z - 12*z + 9*z. Determine m(w(b)).\nAnswer: -361*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v + 0*v)*(2 - 3 - 1) - 4*v - v + 2*v + 156*v - 65*v + 75*v.\nAnswer: 159*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2.1, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -61 + (18 - -22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102021 + 102?\nAnswer: 102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + l**3 - 3864080*l**2 + 3864047*l**2.\nAnswer: l**3 - 33*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Let b be 0\/t - (-2)\/(-1). Suppose 0 = 4*l, 0 = -w - 5*l - 3 + 1. Is w greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4490989*m**4 - 946528*m**2?\nAnswer: -107783736*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44140.392 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/10531 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3\/8 (c) -0.1 (d) -11 (e) -640 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53592.\nAnswer: 2, 3, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77)*2*4 - sqrt(77)))\/sqrt(7) + (sqrt(99)*4*1)**2 + (5 + sqrt(55)\/(sqrt(5) - -2*sqrt(5)) - ((1 + sqrt(99))**2 + 1)).\nAnswer: -35*sqrt(11)\/3 + 1488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 6. Let n be s(7). Let o(d) = -n*d + 20*d + 10*d. Let a(y) = -2*y**2. What is a(o(q))?\nAnswer: -578*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 10*s**2 - 9*s + 3. Let b be o(-9). Suppose 3*c = -0*c + b*d + 306, 0 = 3*c + 3*d - 312. Let n = -80 + c. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 7\/6 (c) -419 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5594043358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -403a - 4b8?\nAnswer: -4514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + p - 38, 17*u + 3*p - 269 = 13*u - 170 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 3*(-330)\/(-12)*16\/12?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -2207341?\nAnswer: 2207340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86928.\nAnswer: 2, 3, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11205 and 30?\nAnswer: 22410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iqqqqqi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -42. Let s = 22 + o. Solve 3*q - s = -t, 10 = -0*q - 2*q + 3*t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffx when three letters picked without replacement from {n: 2, f: 4, l: 2, x: 11}.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551573273?\nAnswer: 131, 1481, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 2 + 5*m - 2*m**2 + 1\/3*m**3. What is the units digit of r(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-38)\/57)\/((-3)\/54). Solve 3*q - 4*j = 4*q + r, 0 = 5*q + 2*j + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 - 2*o**4 + 4*o**4 + (-o**4 - 2*o**4 + 5*o**4)*(-4 + 2 + 0) - 11*o**4 + 2 + 59*o**2 - 59*o**2 - o**3.\nAnswer: -13*o**4 - o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -33. Which is the biggest value? (a) 3 (b) -0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4414888*p**4 + 390*p**2 + 4469?\nAnswer: -105957312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/((-100)\/45)*842. Is g\/(-6) - (-3)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-4\/9))\/v*v\/v**(-8))\/(v**(-2\/31)\/((v*v**(1\/3)*v)\/v*v)))**17 assuming v is positive.\nAnswer: v**(51952\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2d7a07 (base 14) to base 2\nAnswer: -110000101101101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + c**4 + 3*c + (5 - 5 - 6*c)*(2*c**3 + 0*c**3 - c**3) + 3*c**4 - 2*c**4 + 2*c**4 + (-11*c**2 + 15*c**2 + 17*c**2)*(-c - 2*c**2 + c).\nAnswer: -44*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5726 and 19600.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 2, 202, -4, -10 in decreasing order.\nAnswer: 202, 2, -4, -10, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/324 and 93\/44.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 291, 296, 311, 342, 395, 476?\n\"Answer: o**3 - o**2 + o + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 4:41 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38.929 + -39. Let n = y - -7.171. Let b = n + -7.09999961. What is b rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*c, 4*b - 6*c + c - 548 = 0. Does 44 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -643 + 643.2. Let j = 0.16 - 0.86. Let p = j - -1.7. Which is the closest to p? (a) 2\/13 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 7, r: 3, o: 3, h: 4}. What is prob of sequence ofo?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413293.\nAnswer: 413293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9424732201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-15))\/(m\/(m*m\/(m\/(m\/(m\/((m**(3\/2)\/m)\/m)))))) assuming m is positive.\nAnswer: m**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -40*m - 310. What is the tens digit of z(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93 or -846137?\nAnswer: -846137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-5)\/(-2))*102\/612.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) -25 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 4452601?\nAnswer: 4452600.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -7*f**6\/15 + f**5\/5 - 1345*f**4\/12 - 1853*f**2. What is the second derivative of n(a) wrt a?\nAnswer: -336*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from zzzzyzqzzrzlzzzzzzqy.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101222221 - 1002022?\nAnswer: -110002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 198671 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -944 + 959. Calculate the smallest common multiple of 30 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/687 and (-17910)\/(-16488) - (19\/28 + 36\/63).\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 594093.5 decades to millennia.\nAnswer: 5940.935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -7867\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -659 + 655. Let o(r) = -2*r**3 - 9*r**2 - 8*r - 14. Let x be o(m). Let w be 1\/((-6)\/(-4) - 1). Solve n - 3*f = 4*n - 15, -2*f + w = -x*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 11*w - 16. Let v be u(12). What are the prime factors of -1*((-22 - v) + 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 71869*i - 108. Let m(g) = 17967*g - 24. Calculate -9*m(c) + 2*s(c).\nAnswer: -17965*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/2720 and 27\/196.\nAnswer: 133280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/17 + 73592*y\/17 - 14128758\/17.\nAnswer: -2*(y - 36603)*(y - 193)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13038, -13044, -13050, -13056, -13062?\n\"Answer: -6*y - 13032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1085 divided by -29\nAnswer: -1085\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -w - 5, -5*t - 1252*w + 1257*w = -10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7363 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -0.3, 0.06, 43 in decreasing order.\nAnswer: 43, 38, 0.06, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12239*p**2 - 12256*p**2 - 18*p**3 + 24495*p**2.\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide (-109)\/((-6)\/(-22)*(-6)\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 + 0.6. Let n = 1\/67 + 64\/201. What is the biggest value in n, 3\/16, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/2, -36, 9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130975, -130977, -130979, -130981?\nAnswer: -130983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/45 and -23\/84.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -0.0332?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -478 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20c8752 (base 14) in base 13?\nAnswer: 32b2b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0)*56\/(-32).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75921*s + 37957*s + 37991*s - 4.\nAnswer: 27*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121867143 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 4, x: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2. Let l(h) = -15 + 32 - 17 - 24*h. Determine p(l(i)).\nAnswer: -1152*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1 = 7. Let d = h + -1. Solve 2*q + d*q = -12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 125, 250, 375, 500, 625, 750?\n\"Answer: 125*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + -2 + (-3)\/(-1). Let n be (3\/(k + 2))\/(-1). Sort 0, n, -2 in descending order.\nAnswer: n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-40) + 4286\/8. Let w(r) = -537*r**3 - r + j*r**3 - 4*r**2 - 3*r - 5. Let q be -4*2*(-3)\/(-6). Determine w(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3884 + 6867. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*d - 0*d. Suppose -4*p + d*i = i - 13, 4*p + 4*i - 28 = 0. Let w(v) = v**2 - 2*v + 3. What are the prime factors of w(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 3:39 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 23 = 2*h - 2*r, 4*h - 36 = 4*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/((-44)\/(-4)))\/((-24)\/(-4)*32\/(-192)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 8*j - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1912*p + 1440*p + 3981*p + 1778*p + 5441*p.\nAnswer: 10728*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n*y**3 - 4*n*y + 138*n + 473249*y**4 + 4*y**2 + 3*y + 280 wrt y?\nAnswer: -18*n*y + 5678988*y**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 2\/5, 4, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 357 - (5\/(-2))\/(4144\/192 - 22). What is the highest common divisor of 216 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497398.9 millimeters in nanometers?\nAnswer: 497398900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/4 - 4*q + 225\/4 = 0. What is q?\nAnswer: -25, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 6046977.\nAnswer: 48375816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.240978 micrometers?\nAnswer: 4240.978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 2, -5, -945 in decreasing order.\nAnswer: 2, -2\/9, -5, -945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2994.7 + 5354464375.\nAnswer: 5354461380.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 149\/8 + -18. Which is smaller: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76482644?\nAnswer: 2, 7, 59, 67, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-27)\/(-18))*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 376008 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1790325 - 0.4.\nAnswer: -1790325.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 145 + -104. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:15 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3186377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*i - i - 1903 = 0, 4*i + 778 = 2*n. What are the prime factors of n?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -4*k, -14*s - 2*k - 2 = -16*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**3\/3 - 70*m**2\/3 + 478*m\/3 + 550\/3 = 0.\nAnswer: -1, 11, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 575, 1372, 2167, 2960, 3751?\nAnswer: 4540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(0 + sqrt(1331) + -1 + sqrt(1331)) + 3)**2 - ((-5*(sqrt(1331) + sqrt(1331) + sqrt(1331)*1) + sqrt(1331))**2 - (-4 + sqrt(1331) + 0))) + 2.\nAnswer: -255538 - 165*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 + 5*p**3 - 2*p**3 + (-12 - 1 + 0)*(-5*p**3 + 4*p**3 - 2*p**3) to l*p**3 + b*p + o + k*p**2 and give l.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011000100010110100001 - 0?\nAnswer: 1101011000100010110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -0.3. Let s(b) = 2*b - 42. Let k be s(19). What is the nearest to 1 in 0.1, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3 + 3.6. Let r = 2.3 - 2. Let m = r - x. What is the second biggest value in m, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1303.93 (b) -2\/7 (c) -3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gkkgggk?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q**3 + 4*q**3 - 2*q**3 + (0*q**3 + 3*q**3 - 6*q**3)*(-2 + 5 - 2).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 7. Let g(l) = l**2 - 8*l + 5. Let z be g(9). Suppose 0 = 29*a - 28*a - z. Suppose -11*h = -a*h - 18. Calculate x(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -2*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 11)*(-2 + 1 + 3)*(7 + p - 7)*(-1 + 1 + 2)*(3 - 3 - 4) - 6*p + p + 2*p to the form o + r*p and give r.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7407 is divided by 390?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-1 - (3 - 3)) + -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7448*p**2 + 9166635 - 9166635 + (2*p - 4*p + 4*p)*(0*p - 3*p - p) to v*p + d*p**2 + c and give d.\nAnswer: -7456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - 3. Let q be c(-2). Let y be (9 + -4)\/5 - 6300001. Let n be 1 + y + q + -4. What is n rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7476 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2214230324 - -10?\nAnswer: 2214230334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**2 - 35050*k - 61425125 = 0.\nAnswer: -3505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2\/(b*b**(7\/4)))\/(b*b*b**3*b)**(-2\/31) assuming b is positive.\nAnswer: b**(-45\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -97, -240, -453, -736, -1089?\nAnswer: -1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**4\/5 + 50832*m**3\/5 + 20331*m**2 + 50826*m\/5 = 0.\nAnswer: -16942, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 9596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -4 (c) -2434 (d) -0.5 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26\/9 + 181\/72. Let a be (-2 + (-6)\/8)\/(14\/(-56)). Sort a, -2, y in ascending order.\nAnswer: -2, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.304 - -0.696. Which is greater: m or 30\/47?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/((-980)\/42))\/((-291)\/61110)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91 and 104.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11011110101 (base 2) to base 16\nAnswer: -6f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/105696 and -127\/30.\nAnswer: 528480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-3)\/27)\/(150\/225)*14\/4.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 4, -63, 117, -5.\nAnswer: -63, -5, 4, 5, 6, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46269609 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33526, 134406, 302638, 538216, 841134, 1211386?\nAnswer: 1648966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 + 12*c + 490. Calculate the remainder when z(-16) is divided by 134.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5 + 11 = 0. Suppose 0 = 2*d + 2*y, -o*y + y - 15 = 0. Let t = 2242\/11 - 204. Which is the biggest value? (a) t (b) -4\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 519 + 2183 = 0. Suppose m + 58 = 6*s. Find the common denominator of -9\/2 and 0 - (s\/9)\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -49 - -59 - (-4025 - 1).\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 5*d**2 - 8*d + 6. Let m = 156 - 92. Suppose -5*z - 3*z = -m. Let p be ((-34)\/z - -4) + 50\/8. Determine n(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582146369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 16) to base 15\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gssg when four letters picked without replacement from ggssg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -148417 - j + 296833 - 148416. Let c(r) = 13*r + 53. Determine f(c(u)).\nAnswer: -13*u - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 3*v + 1. Let c(b) = -76*b**2 - 20*b + 7. Calculate -4*c(p) + 28*r(p).\nAnswer: 332*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsv when three letters picked without replacement from {j: 5, s: 6, v: 1, h: 7}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/35, 0.2, -6, 321\/32, 5.\nAnswer: -6, -2\/35, 0.2, 5, 321\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*r = 22 - 35, -a + 5*r + 47 = 0. Let b(j) = j**3 - 15*j**2 - 32*j - 42. Determine b(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 0. Let s(o) = 1 + 6*o + w*o - 5*o + 3*o. Calculate the smallest common multiple of 5 and s(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 266233828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2*g - g)*(25*g**2 + 4*g**3 - 25*g**2) - 2*g**4 + 21*g**4 - 6*g**4.\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -504042 (base 10) to base 2\nAnswer: -1111011000011101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 379326240 to the nearest integer?\nAnswer: 19476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 17*l + 148. Let k(p) = -4*p - 37. Let f(y) = 4*y**3 - 19*y**2 - 5*y - 9. Let i be f(5). Determine i*k(v) - 2*q(v).\nAnswer: 2*v + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24944452*r**3*u - 588*r**2*u - 670*r*u - 5*u wrt r?\nAnswer: 149666712*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -13*i - 8. Calculate the remainder when x(-7) is divided by ((-72)\/(-180))\/((-2)\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -139 - -144. What is the third derivative of 26*f**2 - 6474*f**5 + 6474*f**j - 54*f**6 wrt f?\nAnswer: -6480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 21276*s**2 + s - 21275*s**2 + 42569*s**2.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -111330254 (base 6) to base 2\nAnswer: -111110000011101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2093, 3796, 5501, 7208?\n\"Answer: n**2 + 1700*n + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 6*g + 2*r - 756, -4*g + 1506 = 3*r. Solve g*p - 28 = 379*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 3. Let a = 17 + -14. Suppose q = -a*q. Solve h + 10 = 2*t - q*t, -z*t + 15 = 3*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5\/22, -6, -0.13, 2\/9, -5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*b - 538*b + 340*b.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/3)\/(k**(-2\/3)\/k)*k**(3\/7)\/k**(3\/5) assuming k is positive.\nAnswer: k**(227\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 17*i + 1040 - 774, -3*q = 3*i + 54 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*b - 5316*b**3 - 43*b - 73*b + 5320*b**3.\nAnswer: 4*b**3 - 39*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2094.\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/67 in 1\/4, -1, -1.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w + 25*w + 154 - 63*w + 20*w.\nAnswer: -2*w + 154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.000375 - -17. Round q to five dps.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-163839)\/(-65) - -10) + -7 - 9\/15 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*o = -127, 2*o - 10 + 160 = -5*v. Let g be (-13)\/(-4) + 1 + 7\/v. Solve -5*w + 3*b - 6 = 12, -4*w - g*b - 8 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1078 and 2767128.\nAnswer: 30438408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**3 + 90*h**2 + 28*h - 56. What is the units digit of n(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -242*c**4 - 1820*c**3 - 2820*c**2 + 2080*c - 317. Let z(j) = j**4 + 1. Let v(h) = -t(h) + 3*z(h). Factor v(i).\nAnswer: 5*(i + 4)**2*(7*i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 773 divide 2899964028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*q - 22, 2*z = -2*q + z - 2. Let r be 156\/(-81) + 2\/q. Is r equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.7 and -1.06.\nAnswer: 6.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -10672?\nAnswer: 10675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.16 - -0.1. Let c = 53.94 - w. Let s = -53.9999906 + c. Round s to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*n - 12431 = -568*n for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 30\/7 (b) 0.1 (c) -1\/22 (d) -3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 28446582.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 212 + -2758\/13. Let g = -35 + 37. Put 0, g, j in descending order.\nAnswer: g, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 34. Suppose -5*c - b = -12, -4*c - b + o = -3*b. Solve -c*k + 20 = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c. Let i(l) be the third derivative of l**8\/20160 + l**5\/60 - 4*l**2. Let w(t) be the third derivative of i(t). Determine w(x(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85*c**3 + 176*c**3 - 97*c**3 - 235*c**2 + c**4 wrt c.\nAnswer: 24*c - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w**2. Let i(t) be the first derivative of -t**2 + 6 + 6 - 5. Calculate i(j(r)).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3*c**2 + 24*c - 24*c.\nAnswer: 3*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(7)*5 + sqrt(70)\/(sqrt(70)\/sqrt(7)).\nAnswer: 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143\/657 - 1\/219. Let y = 4 - 7. Which is the nearest to 0.1? (a) 0.1 (b) g (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15203376 divided by -432?\nAnswer: -35193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v. Let z(k) = 4*k - 30. Let t be z(14). Suppose 19 = -4*a + 3*i, -1 = 2*a - 5*i + t. Calculate o(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -157771 < -157774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 16*l**2 - 3*l - 34. Let v be f(15). Let u be (v\/57)\/((-2)\/3). Let i be u + -9 + -1 + 5. Put i, -5, 5 in decreasing order.\nAnswer: 5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 5. Let w be ((-26)\/6)\/((-14)\/84). Let i(u) = -11*u - w + 9*u - 3*u. Determine -11*f(b) + 2*i(b).\nAnswer: b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 34*u + 416 = 0 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 14 = 2*o, -4*o = -23 + 3. Suppose -n*g - 3*v - 2 = -3, -4*g - 4*v + 8 = 0. Sort 0, g, 3 in decreasing order.\nAnswer: g, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.218 times 0.1141?\nAnswer: 0.3671738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/12 + (-4)\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 4599?\nAnswer: 45a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from {r: 7, o: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -266, -525, -766, -983, -1170?\n\"Answer: r**3 + 3*r**2 - 275*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((74\/12)\/(-1))\/(3583\/42996)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/1*(0 + -2). What is the least common multiple of 158\/b - (-6)\/(-21) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*q = 108, -t = -3*t - 2*q + 72. What is the highest common factor of t and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*a**2 - 51*a**2 - 70*a**2.\nAnswer: -19*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x. Let s(h) be the third derivative of 0*h**3 + 2*h**2 - h + 0 - 5\/6*h**4. What is s(v(i))?\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**4\/5 + 40143*i**3\/5 - 160521*i**2\/5 - 40143*i\/5 + 160524\/5 = 0.\nAnswer: -1, 1, 4, 13377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*v - 102328, -282*w + 287*w = -5*v + 127905. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223010 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 42 = a, -10*a + 4*w + 28 = -8*a. Let l = 6 - 0. What is the least common multiple of l and a?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 15 = 4*w. Suppose -12*d + 84 = -w*d. Suppose y = -2*u + 193, -5*y = 3*u - 8*y - 285. What is the highest common divisor of u and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20516 = -3*w + 4879. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 66.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/6 + 2\/(-6). Let h = 11.4 - 11. What is the closest to f in h, 1\/5, 2\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9833438 by -2.\nAnswer: -4916719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 57384 = -3*v, 0 = -p + 5*p - 8. What are the prime factors of v?\nAnswer: 2, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w\/w**(2\/7))\/w)\/(w\/((w\/w**4)\/w*w)))\/(w**(-5\/4)*w**(-2)))**(36\/11) assuming w is positive.\nAnswer: w**(-9\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**11*w)**44 assuming w is positive.\nAnswer: w**528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037204947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/54738 and 14\/38070279?\nAnswer: 76140558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + k - 23 = 0, 21*z - 37 = 17*z + k. Let i(o) = o**2 - 1. Let s be i(1). Solve 0 = 2*y - s + z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*x**2 - 46*x - 6*x**2 + 41*x**2 - 6*x**2 + 1496 with respect to x.\nAnswer: -18*x - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.045 and -4.\nAnswer: -6.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21314840.88 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203\/21*3*(-117)\/(-19227).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244556 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a95 (base 14) to base 5.\nAnswer: 220304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2373019 is divided by 608.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6185491275716 - 0.3?\nAnswer: -0.9185491275716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50955927485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1746 is divided by 300?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11033 + -1?\nAnswer: 11032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 1238461546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-28)*133\/(-76)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-15))\/(5\/(-75))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 100 = 5*h, 4*h - h + 60 = 2*l. What is the lowest common multiple of 20 and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4753365211.\nAnswer: 7, 43, 15791911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1809, -5, 42244 in decreasing order.\nAnswer: 42244, 1809, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l - 82. Let h be j(23). Suppose 0*k - h*k + 50 = 0. Suppose k*w + 3168 = 3*y, -5*y + w + 3180 = -2*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92852 divided by 556\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-25 - -11) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 + 88*m - 18792\/5.\nAnswer: -2*(m - 162)*(m - 58)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*v + 994 = -88163. Calculate the smallest common multiple of 2367 and v.\nAnswer: 2367","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 158*f**3\/3 + f**2\/2 - 392*f + 1430. What is the derivative of s(c) wrt c?\nAnswer: 316*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 6:59 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/584 and -26\/219?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + l**2 + 19*l - 3. What is z(5)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/13, 1\/4, -0.3, -3, 59\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 5*c**2 - 11*c - 3. Let u(s) = -4*s**2 + 8*s + 3. Determine -5*u(l) - 4*y(l).\nAnswer: 4*l**3 + 4*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18193 and 19775.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -0.18243.\nAnswer: 2.37159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -50.7. Let x = -0.1 + -0.1. Which is the third biggest value? (a) v (b) -1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 18*x)*(-2 + 2 - 3)*(-4 + 1 + 1).\nAnswer: -108*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*u**3 - 366*u**3 + 741*u**3.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 11. Differentiate 1 - y**4 - 4*y**4 - 2*y**b with respect to y.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59*30\/148680*2.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-15))**(-18)*(x*x**(1\/47))\/x**(-6\/17) assuming x is positive.\nAnswer: x**(202446\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -20dc45 (base 14) to base 11\nAnswer: -6a0845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 0 + 0*d - 7\/3*d**3 + 1\/8*d**4 + 2*d**2. Let i be u(5). Is 1\/13 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 538672117?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, -2, 25, 0.1, -3688?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k + 9*k**2 - 3 + k**2 - k**4 - 8*k**2 to the form t*k**2 + r + q*k**3 + d*k**4 + o*k and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1078 and 35084.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882938 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(175))*-1 + -2.\nAnswer: -5*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -269 - -399. Let v = -125 + f. What is the second biggest value in -3, -4, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 1:57 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - 4*r + 720. What is the remainder when r is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 + 30*s - 10. Give a(14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*v - 31, -2 + 99 = 4*y + v. Let s = y + -19. Solve -4*q + 0*q - s = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - -22. Let q = b + -49. Differentiate -22*r**4 - 3 + q - 1 - 16 wrt r.\nAnswer: -88*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 11*n + 15. Let q be s(10). Let x be (q - 7)*(-7)\/(-2). Let m(c) = -12*c - 5. What are the prime factors of m(x)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/3 - -5) + (-18)\/(-6) + (-24273)\/1581\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1550245 is divided by 59617?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54*t**2 - 20569*t + 723652?\nAnswer: 108*t - 20569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1100110?\nAnswer: -1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*u - 5*u + 31*u - 427 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*i, 4*m + 18*i = 26*i + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001111 + 101?\nAnswer: 111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 3*x**2 + 2*x - 3. Let w = 7 - 4. Let f be p(w). Suppose -f*s = -125 - 10. What is the remainder when s is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i + 5*i + i - 16*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -636.9 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -15*r**3 - 2*r**2 + 1. Let s be w(-1). Let t = -39 - -46. Let a be s + t\/(21\/(-6)). Solve -4*q - 2*x + 0 + a = 0, x = -q + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2641464, -10565862, -23773192, -42263454, -66036648, -95092774, -129431832?\nAnswer: -169053822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -999200 rounded to the nearest ten thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*q - 49476 - 89135 = 0, -a + 3*q = -69328. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648 = -2*b - 210. Let c = b + -37. List the prime factors of c.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 2*o - 1. Let f(y) = -y**3 + 14*y**2 - 14*y + 14. Let z be f(13). Calculate w(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 64\/224 - 36\/(-21). Suppose 5*y - 211 = -3*u, o*y - u = -1 + 81. Calculate the highest common divisor of 41 and y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10004.\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.149 - -2.3013. Round v to 3 decimal places.\nAnswer: 0.152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1125 - 1125.4. Which is the second biggest value? (a) -6 (b) 1\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90196511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -66140?\nAnswer: 6614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + k = 105, 52 = 5*d - 2*k - 134. Is d a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(171) + 0)*-4 + -5)**2 + ((1*(1 + sqrt(304) + sqrt(19)))**2 - -1*(1*sqrt(1539))**2).\nAnswer: 370*sqrt(19) + 26664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36887, 46709, 56531, 66353?\nAnswer: 76175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.0502 - 0.0498. Let h = n - -29. Is 0 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3112436 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -91225*p - 456151. What is o(-5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**3\/6 - 16*u**2. Suppose 0 = 4*p + 49 + 31. Let x be 4\/((p\/3)\/(-5)). Let c(m) = -m - 4. Determine x*v(k) - c(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -240\/23 (b) 4.37 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 654 and 13734.\nAnswer: 13734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-7962)\/46445*(-10)\/2)\/((-1)\/(-28))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k = -16*k + 2534. Let w = k - -1057. List the prime factors of w.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61.0662 * -0.51.\nAnswer: -31.143762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57405*q**4 + 147*q**3*w**2 - 2*q**3 - 102*q**2*w**2 + 717*q**2*w + 8*q**2 - 2*w wrt q?\nAnswer: 1377720*q + 882*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 1:30 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikbbvjxxixibbkx. What is prob of sequence xb?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*n + 37*n - 6 = 4*b, 2*b - 27 = -9*n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*s + 46, 5*s - 3*v - 37 = s. Let a = s - 10. Solve 8*k - 9*k = a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -3*d**4 + 0*d**5 - 1 + 0*d + 8\/3*d**3 + 2\/3*d**6 + 0*d**2. Factor m(p).\nAnswer: 4*p**2*(p - 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 1619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 67*r**2 - 15*r + 1. Calculate the remainder when l(3) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234976271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 1571270?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 + 1 = b, -3 = -b - 3*t. Let d be 2\/(-3) - (-16)\/b. Is (-103)\/(-3) - 4\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-201 + 1)\/(26\/(-39)). Suppose 0 = 4*r + 3*u + y, 6*u - 5*u - 160 = 2*r. What is the remainder when 37 is divided by (-15)\/(-10)*(0 - r\/9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 1. Let t(s) = -s + 9. Let u(h) = -i(h) + t(h). Calculate u(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 bigger than 3.035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45608 - -2373. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 2*m**2 - 2*m - 4. Calculate q(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 1:26 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28839009061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16483*d*n**3*r**2 - 423*d*r**2 + 729*n**3*r**2 + 4*n**3*r - n**2*r - 2*n**2 + 108*n*r + 8*r**2 with respect to d.\nAnswer: 16483*n**3*r**2 - 423*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-4))\/(a**(1\/2)*a)*(a**0*a)**(-3\/19) assuming a is positive.\nAnswer: a**(127\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3882*x + 3 - 3895*x + 3*x**2 - 1 to the form s + z*x**2 + m*x and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Let l = 710.96 - 725. Let j = l + 14. What is the third biggest value in j, -1\/2, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((23 - 45 + 26)*(11*l**2 + 6*l**2 - 8*l**2) + 4*l**2 + 0*l**2 - 2*l**2)*(0*l**3 + 4*l**3 + 0*l**3).\nAnswer: 152*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/21*9\/1. Suppose 4*m - 450 = -5*k, 3*k - m + 5*m = 262. Put w, 0, k in decreasing order.\nAnswer: k, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/6 - 5\/(-30). Suppose 0*p = -3*p + 3*v + 3, v - 4 = 0. What is the closest to w in -1\/6, 1\/3, p?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6307, 20793, 35279, 49765?\nAnswer: 64251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*x = -64*x - 5*s + 2526, -4*x + s = -2514. Calculate the remainder when 1264 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2656 - 1417. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (6\/6 + -7). Suppose -i = -7*z + 35. Let a(s) = s - 3. What is a(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-10) - 10686\/(-130). Find the third derivative of v*i**2 - 36*i**2 + i**3 + i**3 wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uggg when four letters picked without replacement from {u: 3, g: 4, b: 9}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 - 239236*o**2\/3 + 7154232962*o\/3.\nAnswer: 2*o*(o - 59809)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeheeheh. Give prob of picking 2 h.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.073, 0, 73, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -94, -162, -294, -508?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9*g. Let v(w) = -2*w + 186. Give v(h(j)).\nAnswer: 18*j + 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1395.84 + -1290.7. Let y = r + -109. Let a = y + 2.63. What is a rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/3)\/(((-8)\/1)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 37\/6 - 82\/492. Let h be (-144)\/(-138) + 5 - k. Let w be (-5)\/4*-2 - 2. Which is the biggest value? (a) w (b) h (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1 + 9*k + 2 - 2 + 6*k**2 - 10 - k**3. Let s be n(7). Let j = 9 - 13. Which is the third smallest value? (a) -5 (b) s (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvvvvvwvvvvv. What is prob of sequence vq?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 2 - -1)\/(-2). Suppose 0 = -y - 2*w, -y - 4*w + 30 = 4*y. Solve -4*q + 3*n - y = 2*n, o = -5*n - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 410432422340 + 2?\nAnswer: 410432422342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 + ea1cc?\nAnswer: ea1e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5439089 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 17526*f**2 - 421488*f + 2530656.\nAnswer: 2*(f - 12)**2*(f + 8787)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: How many minutes are there between 4:41 AM and 2:38 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -109, -185, -275?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/139 < -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(4\/5))\/((d\/(d*d**(4\/5)))\/d))**(-3\/2))**22 assuming d is positive.\nAnswer: d**(-759\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001356 to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1496*q - 2518*q + 531*q + 0 to the form b + z*q and give z.\nAnswer: -3483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 20?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*c**3 - 701*c**3 + 354*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*n - 2 + 1 + 332*n + 1.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -144*v**3 + 2*v**2 + v - 1. Is 36 a factor of l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*y = y - 503, 3*y = i - 234. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.7 - 2.7. Let l = 10.9964 - u. Round l to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.2. Let v be 1\/(((-4)\/2)\/(-4)). Put -1, i, v in descending order.\nAnswer: v, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 9:32 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320 + 23302333221?\nAnswer: 23303000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1 + 0*v - v - 2*v. Suppose 2*p - 6*p - y - 17 = 0, -3 = 3*p + 4*y. Calculate u(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18\/5, -2, 0.25, 2.5, 15 in ascending order.\nAnswer: -18\/5, -2, 0.25, 2.5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20360571404 rounded to five dps?\nAnswer: 0.20361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5662 (base 8) in base 4?\nAnswer: 232302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by -1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 113616823 a multiple of 744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-110)\/4)*(0 + 8\/64)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -32*q - 13. Let d(j) = -60*j - 25. Determine -6*d(o) + 11*r(o).\nAnswer: 8*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -33*z - 7. List the prime factors of t(-2).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -51*l + 33. Let w be f(15). Calculate the common denominator of 2\/4*(-4 - w\/66) and 95\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2621182 to 3 decimal places.\nAnswer: 0.262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 348861559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -4*s**3\/3 - 2*s. Let t(b) = 5*b. Give t(c(w)).\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 9:19 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2. Let p(q) = 1 + q + 0 + 0*q + 1. Let s(o) = 2*o + 3. Let h(j) = 3*p(j) - 2*s(j). Calculate h(r(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f + 1. Let c(b) = -b**2 - 13*b + 10. Let o be c(-15). Let p = 64 - o. Let k = -81 + p. Determine i(k).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -5\/2 (c) 0.029 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 30*z**3 + 3*z. Let o(p) = 31*p**3 + 2*p. Determine 6*o(m) - 4*s(m).\nAnswer: 66*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 8. Let h(o) = o. Determine g(b) + 3*h(b).\nAnswer: b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/15 + 1102*k**3\/15 + 442*k**2\/3 + 1106*k\/15.\nAnswer: -2*k*(k - 553)*(k + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, k: 1, f: 3, i: 1, h: 7}. Give prob of sequence ifhs.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-2*sqrt(528) + (sqrt(132) + -2*sqrt(132))\/sqrt(4)))\/((sqrt(180)\/(sqrt(12)*-2))\/(sqrt(5) + sqrt(45)\/sqrt(36))))**2.\nAnswer: 128304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p - 15. Let i be c(-6). Round i to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c - c)*(10*c + 37*c - 8*c + (2*c + c - c)*(1 - 4 + 2)).\nAnswer: -37*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3431 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 17*b. Let o(g) = -g**2 + 18*g. Let s be (-36)\/72*(9 + (-2 - -3)). Determine s*o(i) - 4*n(i).\nAnswer: i**2 - 22*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-268 + 268 - 132*s)*(-1 + 0 + 2) + 1 + 4*s - 1 + (3 - 2*s - 3)*(1 - 4 + 1))*(-2*s + 2*s - 3*s) - 3*s**2 + 3*s**2 - 8*s**2.\nAnswer: 364*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9140427 grams in milligrams?\nAnswer: 914.0427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - -1 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38864.\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 533 and 330829.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8331 is divided by 307?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6777376 divided by -3388688\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17524860 divided by -4381215.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72605 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cshx when four letters picked without replacement from {x: 1, h: 1, d: 1, q: 4, s: 2, c: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 4 = 4*j, 4*j = -q - 5 - 14 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 5*f + 84 - 100, 0 = -3*f + 3*b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2932 + 2932 + 9*j - 169*j**2 as g*j**2 + m + c*j and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by -15*(-4)\/(-20)*14\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39086456?\nAnswer: 2, 4885807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -3*b - 11, 5*b - 8*b - 2*t - 7 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 781159.6 centuries to millennia.\nAnswer: 78115.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*f = 1431374 + 278558. Calculate the highest common factor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.459365 rounded to two decimal places?\nAnswer: 21.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/13? (a) 4 (b) -5 (c) -0.5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/4))**13\/(a*a**(5\/3)*a*(a\/(a\/a**(5\/8)*a))\/a) assuming a is positive.\nAnswer: a**(491\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 17?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 9:17 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26425126?\nAnswer: 2, 7, 13, 145193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * 0.2332\nAnswer: -0.30316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2. Let w(n) be the second derivative of 0 + 0*n**3 - 8*n - 1\/6*n**4 + 0*n**2. Calculate w(c(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502368.\nAnswer: 2, 3, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*h - 31 - 116 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169761 or -169763?\nAnswer: -169763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 717.68 and 455.\nAnswer: 1172.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(4) - sqrt(4)*3)*-4.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55169 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(153) - sqrt(153)*1) + -2*sqrt(153)*-3)\/(2*(sqrt(9)*1 + sqrt(9)) - ((4*sqrt(81) - sqrt(81) - sqrt(81))\/sqrt(9) + sqrt(9))).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18250*c**5 + c**4 + 5*c**3 - 144746*c**2 wrt c.\nAnswer: -1095000*c**2 + 24*c + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -3*j**5\/5 - 8*j**4\/3 - 10*j**3\/3 - 6*j. Factor u(r).\nAnswer: -4*r*(r + 1)*(3*r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20024 divided by 2503?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**3 - 3*x**3 + 6*x**3 - 2*x**5)*(1 - 1 - 2).\nAnswer: 4*x**5 - 18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 18 = s, 2*v + 2*s + 9 = 7*v. Let n = -3 + v. Suppose -5*g + 16 = -h, h + 1 - 5 = n. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 24. Let o = 4 + d. Let q = o + 17. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1844*z + 2054*z + 6167*z + 5205*z + 2543*z to l + x*z and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 71120178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -778505 divided by 1885\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -311? (a) -1\/10 (b) -0.21123 (c) 4\/9 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -152600 less than -152599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 7*l + 3*l - 16 = 0, l + 7 = 2*i. Suppose 0 = -x + i*k - 0*k + 26, 4 = 2*k. Let r = -21 + x. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -11. What is the derivative of 13 + 4*f - d + 4 + 6*f wrt f?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18070795 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 5*m + 75 = 3*w, 0 = 3*w + 2*m + 48. Let l = 21 + w. Suppose -420 = -8*o + l*o. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2387874.\nAnswer: 2, 3, 149, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.051, -0.5, 0.3, 6?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 15*s - 1 - 2609*s**2 + 6 - 8*s - 2669*s**2. Let p be y(-1). Round p to the nearest 100.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 5*k - 28 - 2, 30 = 4*d + 5*k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 6*k - 4*k)*(13*k + 0*k - 3*k)*(-17 - 2 - 3)*(k + 2 - 2)*(-4*k**2 + 2*k**2 + 0*k**2).\nAnswer: 880*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/17 + -155\/2057. Let d(a) = -a**2 - 6*a - 3. Let u be d(-5). Let n = u + -2. Does n = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 - 2*t**2 + 13. Let q(y) = y**3 - y**2 + 6. Determine -13*q(c) + 6*s(c).\nAnswer: -c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(34)*2)\/sqrt(2) - sqrt(119)\/sqrt(1008).\nAnswer: 4 + 23*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d5d1 (base 16) in base 7?\nAnswer: 1010436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -4*m + 7\/3*m**3 - 5 - 6*m**2. Factor q(h).\nAnswer: (h - 2)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 20247, -2\/17, 0.3, 0.4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2181673 + 0.\nAnswer: 2181673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2409 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 146 + -99. Let p(m) = 3*m - m + 2*m + h - 2*m. Is p(0) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c96 - 5?\nAnswer: -5c9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jswjmmffmufjs. What is prob of picking 1 s, 1 u, and 2 j?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 0 - 24 - -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u - 4. Let n be r(3). Let g = 4 + n. What is the remainder when 19 is divided by 16\/6*g\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8*b. Let o be a(1). Let x = -7 - o. Let s(d) = 2*d**3 - d**2 + d. Let p be s(x). Solve p*g - 6 = -0*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5600426?\nAnswer: 2, 13, 47, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*i**2 + 6*i**2 + 19*i**3 - 24*i**4 - 19*i**3 + 1 - 15*i**4 to the form l + c*i + u*i**2 + k*i**4 + n*i**3 and give k.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**4*r + 3*j**4 - 15*j**3*r - 2*j**2*r + 2*j*r + 9*j wrt j.\nAnswer: 24*j*r + 72*j - 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -21245982 at least as big as -21245982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 5*g + 5. Let t(l) = -l**3 + 6*l - 6. Give 6*o(a) + 5*t(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + 4 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.3 - 21. Let d = z + 0.7. Sort -1, -0.2, d.\nAnswer: -1, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + f**2 + 13*f. Let p(h) = h**3 + 17*h + 1. Let o(y) = 4*b(y) - 3*p(y). What is o(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 2:47 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18835\/69 - -273. Let h = -674 + 673. Is h less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*x**3 - 42*x - 14*x**3 - 25*x - x**2 as z*x**2 + d*x + y*x**3 + b and give d.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 20 - 10 + (-2 + 5 - 2)*(-1 + 6 - 4))*(30*u**2 + 2863 + 2*u - 2863).\nAnswer: 510*u**2 + 34*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -84, -47, -10, 27, 64?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*y - 36*y + 63*y + 1000 - 1000.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*z + 72. Suppose -168 = -19*k + 269. Let v(q) = q**3 - 22*q**2 - 23*q + 12. What is the smallest common multiple of v(k) and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 9:36 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/23250 and 3\/15500?\nAnswer: 46500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 11. Let c be i(9). Suppose -4*x = -c*k - 3*x + 44, -5*k + 113 = -4*x. Let g = k + -3. What is the lowest common multiple of g and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.1326239 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 161945256 divided by -40486314?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 693121*j + 49 - 693125*j + 14.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/(-4))\/(15\/30). Suppose -6*k - 5*p + x = -k, 4*p + 12 = 2*k. Solve 0 = k*b + 3 - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140616.334 + -140767. Let i = -149.4 - n. Let a = i + -1.3. What is a rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -587*w + 844600 = -547*w. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 + -0.01?\nAnswer: -244.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(-6*sqrt(9)*3))**2 + -1 - ((5 + 0 + sqrt(17))**2 + ((sqrt(136) - (sqrt(136)*4 - sqrt(136)) - sqrt(136)) + sqrt(136))\/sqrt(8)).\nAnswer: -13915\/324 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -56907810752 + -0.058?\nAnswer: -56907810752.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 367 - -5?\nAnswer: 36c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 7 = 3*b, 2*h + h = 2*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - m - 13, 3*w + 2*w + 31 = -4*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - 548*q**2 - 33*q**3 - 3*q**3 - q + 206*q**2.\nAnswer: -37*q**3 - 342*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 8*l**2 - 7*l - 50. Let b be a(-8). Solve 3*u = -0*u - 3*h + b, 5*u + 4*h - 13 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 22 = 2*v, -59*q + 3*v + 1889 = 1632 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1394, -1392, -1390, -1388?\nAnswer: -1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/9 - 4072*n\/9 - 4063 = 0. What is n?\nAnswer: -4063, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-8))\/(2\/(-24)). Let t = -5 + b. Solve -4*u + t = -0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3603caa (base 13) to base 3.\nAnswer: 1011110022100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 124\/159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -21*w**3 + w + 1. Let s(g) = -230 + 64*g - 90 - 1. Let a be s(5). What is f(a)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -k - 6, -n + 0*n = -k - 4. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 1. Let x(s) = -4*s - 12. Determine -6*b(r) - x(r).\nAnswer: -2*r + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 - 12 - ((-13 - -13) + -5 - -7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a250 - -2?\nAnswer: -2a24c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u\/((u\/((u*u*u**(1\/16)*u)\/u))\/u))\/u)*u**(-12) assuming u is positive.\nAnswer: u**(-209\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5364)\/6258)\/((-24)\/(-518)).\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5))\/(((-2904)\/275)\/(-22)*(-30)\/(-48))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10962354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**5\/60 + h**3\/6 - 4*h**2. Let a be j(1). Suppose -a*c + 5*c + 26 = 4*k, -2*k + 6 = -5*c. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 348?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -72.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 49 (b) -0.4 (c) 0.2 (d) -8\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8670 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 153431928 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z. Let c(i) = 2*i + 4 - 4*i + i + 1. Let s be c(4). Let j(x) = x**2 - x - 2. Let w(t) = s*j(t) + 3*b(t). Calculate w(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*x - 26. Solve -5*z - x = 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {u: 2, x: 5, t: 1, d: 1, c: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 2*l**2 + 6*l - 5. Let u be w(-4). What is the third smallest value in -2\/3, u, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, c: 4, j: 2, e: 2, t: 1}. What is prob of picking 1 o and 2 c?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -712 - -2536. What are the prime factors of (-5)\/2*l\/(-120)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 - 1.9. Suppose -9*d + 22 = -11*d - 3*y, -2*d - 14 = y. Which is the nearest to l? (a) -0.08 (b) -0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.2519\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -0.2. Let g = 33863 + -33862. Which is the fourth biggest value? (a) g (b) r (c) -0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 0.69.\nAnswer: 0, 0.69, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 5*r - 25, -5*o - 29 = -5*r - 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 2, -916 in decreasing order.\nAnswer: 2, -2, -5, -916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 659169872 to the nearest integer?\nAnswer: 25674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2. Let o = 16 - 8. Suppose 0 = 3*c + c - o. Let a(t) = -4 + c*t + 4 + 0. What is a(y(b))?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13519 - -27037\/2. Let n be 14\/5 + -1 - 2. What is the second smallest value in n, o, 1\/4, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 74, 103, 132, 161, 190?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 + 6 = v, 3*j + 4*v = 24. Suppose -j*z = -16 - 44. Suppose -2*y + 5*y = 3*u, -z = -2*y - 3*u. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63368932*r + 21122982*r + 21122978*r + 21122974*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -5*u + 8*u + 21, -18*u - 42 = 3*r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 416 and 9607?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.105084563 + -2.494913907. Let r = j - -21.6. What is r rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -h. Let r(w) = 1 + 3*w**2 - w - 3*w**h + 1 + w**2. Let q be r(4). Calculate the greatest common divisor of q and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*n**2 + 111*n**2 + 168 - 99*n**2 to d*n**2 + g + h*n and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 36368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/35 and 37\/35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 4)*(-11*v - 8*v + 7*v) + (-3 + 3 - 4*v)*(-1 - 6 - 3) + 2*v - 2*v + 2*v in the form q + o*v and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 2*v**2 + v + 5. Suppose 0 = 5*t + 5*f - f + 10, -3*t + 3*f = 6. Let q be h(t). Which is smaller: 4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6035955, 6035952, 6035949?\nAnswer: 6035946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29430672 and 96.\nAnswer: 58861344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-16) + 119\/140*-5. Let m be 12\/(-4) - 7\/(-1). Put -1, m, s in ascending order.\nAnswer: s, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2312229 - 2312229 + 199*y - 198*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 660960 divided by 8160\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 96, 899, 3052, 7221, 14072, 24271, 38484?\n\"Answer: 111*n**3 + 9*n**2 - n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 997 at least as big as 51\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*q - 120*q - q - 655*q as t + i*q and give i.\nAnswer: -797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(1\/41)*t)\/(t*t\/(t*t\/t**(1\/13))))\/(t\/t**23*t**13))**(-17) assuming t is positive.\nAnswer: t**(-98753\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7\/s**(-7))\/(s**(-2))**38 assuming s is positive.\nAnswer: s**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q. Give j(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**16*o)\/o)\/o*o**24)\/(o**(2\/35))**(-17) assuming o is positive.\nAnswer: o**(1469\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-6))\/(-1 + (-35)\/(-40))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 459*m + 339. List the prime factors of n(13).\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 302*s**2 - 218 wrt s.\nAnswer: 604*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -408 and 564.51?\nAnswer: -230320.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79601 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2469460 and 5017040.\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/8 + 21*s\/2.\nAnswer: -3*s*(s - 28)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*sqrt(12)\/sqrt(4) + sqrt(12) + -5 + 3 + sqrt(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/((-14)\/(-56)). Let m(n) = 0 - j + 12*n - 8. What is the units digit of m(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 44856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4696, -9392, -14086, -18778, -23468?\n\"Answer: r**2 - 4699*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 17. Solve 0 = -k*f + 5 + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3.7. Let q = -7 + 8. Let a be q\/(0 - 1 - 0). Sort 1\/5, u, a in ascending order.\nAnswer: a, u, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0.0826?\nAnswer: -2.0826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, k: 3, d: 4}. Give prob of picking 1 k and 2 d.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.2, 32005, 4, -9\/13 in ascending order.\nAnswer: -9\/13, -0.2, 0.3, 4, 32005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1176239*f + 1131*f**2 + 1176239*f)*(-3 - 2 + 3 + 1) to t + p*f + z*f**2 and give z.\nAnswer: -1131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3873309495 and 0.904.\nAnswer: -3873309494.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-4347)\/92)*(-3)\/2\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -106*d**2 + 2*d - 4. Let v(m) = m**2 - 1. Let j(n) = -i(n) + 6*v(n). What are the prime factors of j(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 2:13 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, l: 11}. What is prob of sequence lzl?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(-116) + 4257\/41151.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + n**2 + 1. Let d(s) = -8*s**3 - 7*s**2 + 47. What is -d(j) - 6*f(j)?\nAnswer: 2*j**3 + j**2 - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-5 - 0 - 165\/110*(-16)\/3). Suppose 4*v - 3*h + 22 = 7, -4*h + 20 = v. Solve -8\/23*t**4 + u*t + 2\/23*t**5 + 0*t**2 + 6\/23*t**3 + v = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313312031302 + -223?\nAnswer: 313312031013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41696133 to the nearest integer?\nAnswer: 6457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -9. Suppose 3*m - 50 = -4*p - 34, -3*m = -2*p + 8. What is the closest to m in 3, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1, 12, 28.\nAnswer: -4, -1, 2, 12, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/49 + (-150)\/(-14). Let t be d\/(-55) + 1 + -1. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/3763540 and 27\/4.\nAnswer: 3763540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 2*v**2 - 4*v. Suppose 0*j = -2*j + 3*m + 43, -4*m + 56 = 4*j. Suppose j*d - 14*d - 9 = 0. Calculate q(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.31, 0.4, 0, 0.2, 1\/2, 17, 45.\nAnswer: 0, 0.2, 0.31, 0.4, 1\/2, 17, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 113425*t**3 + 199196 wrt t.\nAnswer: 340275*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2373, -2454, -2517, -2556, -2565, -2538, -2469, -2352?\n\"Answer: s**3 + 3*s**2 - 97*s - 2280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j - 14. Let d be p(-10). Suppose 6*l - d = 3*l. Does 24 divide 11\/66 + 1390\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2054255 is divided by 826.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 2b?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3718\/(-1352))\/((-2)\/8). Let j be 8\/20 + 438\/5. What is the greatest common divisor of j and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 183 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6196331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 2:14 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i**2 + i**2)*(54*i**3 - 10*i**3 + 5*i**3) + 3*i**5 + 5*i**5 - 5*i**5.\nAnswer: 52*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11 - (-3 - (-4)\/2). Suppose 0 = -k + 5*k - s. Solve 0 = -r + 2, k*n - 5*r - 13 = -4*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*h**2 - 6*h**4 + 3*h**3 + 33*h**2 - 56*h**2 + (-15*h**2 - 10*h**3 + 15*h**2)*(2*h - 2*h - 4*h).\nAnswer: 34*h**4 + 3*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/10)\/(2\/10))\/(-4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6843*g**5 + 6*g**3 + 3*g**2 + 73379 wrt g?\nAnswer: -410580*g**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(85) + (sqrt(85) + -1*sqrt(85) - sqrt(85)) + sqrt(85))\/sqrt(5) + -1 + sqrt(153) - (-3*(sqrt(170) - sqrt(170)*-2))\/sqrt(10)))**2.\nAnswer: -78*sqrt(17) + 2882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*l = -l + 92, -50 = -2*d + 4*l. Suppose -3*r - 1 = -d. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1813134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 657*s = 653*s + 16. Sort 3, s, -4, -2 in descending order.\nAnswer: s, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815918719.\nAnswer: 7, 11, 10596347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 429199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 i, and 1 s when three letters picked without replacement from {n: 1, s: 5, i: 1, f: 9, q: 4}?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2160 + 17560 = -986*w for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1943\/48970?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u + 2*u**4 + 38*u**2 - 9*u**2 - 26*u**2 in the form p + f*u + q*u**2 + g*u**4 + k*u**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**5 - 4*y**5 + y**3 - 10*y**3 + (2*y**3 - 1 + 1)*(-y**2 - 4*y**2 + 4*y**2).\nAnswer: -y**5 - 9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**4\/4 + 5*j**3\/2 + 147*j**2\/4 + 109*j + 95 = 0.\nAnswer: -5, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 16. Let u be l(18). Suppose -k - 3*q + 13 = -2*k, -2*k = -4*q + u. What is the units digit of -5*(460\/k - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 107c + -3?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -93380*x + 373731. Calculate y(4).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 1953320196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10286*-16.\nAnswer: 164576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**2 + 10*l + 3. Let u be r(-2). Let d(o) = 9*o. Let i be d(-1). Let c = i - u. Calculate the greatest common factor of c and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/13 - 23316*h\/13 + 67954482\/13.\nAnswer: 2*(h - 5829)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1247610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1767 is divided by 222.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 31 - 38)*(3*g**3 - g**3 + 4*g**3) + g**3 + 2*g**3 - 4*g**3.\nAnswer: -397*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(132) - 5*2*sqrt(132) - -6*sqrt(132)*2)\/(-6*sqrt(72)\/(sqrt(6) + sqrt(24)\/sqrt(4))) + 5.\nAnswer: -sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6990.339088 + 7008.77. Let s = a - 0.430472. Let z = 18 - s. Round z to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 4*u + 4. Let h(q) = -q**3 + 3*q**2 + 6*q - 4. Let o be h(4). What is the units digit of t(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-1015)\/29 - 13?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162253183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -2304.2098.\nAnswer: 2300.2098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 11, 5, 3, 17.\nAnswer: -7, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8599*a**2*b**2 - 4*a**2*b + 4*a*b**2 - 3*a*b - 1723 wrt a.\nAnswer: -17198*b**2 - 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003087 rounded to 7 decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 14, 330 in decreasing order.\nAnswer: 330, 14, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/75 and 1*-71*9\/243.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3702 and 54739006?\nAnswer: 164217018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*0.34.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -0.2. Let v be (-5)\/20*(-2)\/2. Which is the closest to -1? (a) v (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/18*752\/(-4700)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258311 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 611640 + 52?\nAnswer: 612022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 178252487 and 829451?\nAnswer: 177423036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-6)*-8 + (-3)\/(-9). Let j(t) = -t + 10. Let u(b) = -1. Let w(h) = -j(h) - 5*u(h). Let p be w(4). Is n less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 472 - 100. What is the highest common factor of 310 and l?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -840000 = -a + 3*a. Round a to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24007242031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 5*m + 5. Let b(c) = 9*c + 3 - 2 - 18*c + 8*c. Determine -30*b(a) + 6*p(a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -169*k**4\/3 + 127*k**3\/6 - 12*k**2 - 6*k. Is x(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 + 1.1. Which is the third smallest value? (a) -2 (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -584 - -713. Let y = k + -515\/4. Which is the closest to y? (a) -2\/21 (b) -2 (c) 5.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -17*z**2. Let c(b) = -19009012*b**2. What is j(c(r))?\nAnswer: -6142823132674448*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 1685036 = -5*h - 1685016, 0 = 3*f + 2*h - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 6, 1\/2, 0, 28, -122 in decreasing order.\nAnswer: 28, 6, 1\/2, 0, -1\/3, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20210112002 (base 3) to base 13\nAnswer: 48b84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 13 + 7 = 0, 4*j - 19 = 3*k. Let l be 556*1 - (5 - 2 - k). Suppose -6*v = -0*v - l. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((sqrt(847) + (sqrt(847) + -1 - sqrt(847)) - sqrt(7)) + sqrt(7) + sqrt(7) - (-4*sqrt(7) + 5))*-5)**2 + -5).\nAnswer: -274170 + 28800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 v when three letters picked without replacement from mmcmmvvvvvvcc.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9802 and 580?\nAnswer: 98020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2213533 - -342?\nAnswer: -2213151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10186333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from ssqsqsqssssssss.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 3:03 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + 16 - 16 - w**5 - w**5 + w**5 - 2*w**5 + (-3*w**3 + 3*w**3 + 2*w**3)*(3 - 3 + w**2) + 2*w**5 + 4*w**4 - 4*w**4.\nAnswer: w**5 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - k**2 + k + 43. Suppose 2*v + 9 = 11. Let d(r) = -3*r + 3. Let p be d(v). Is z(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11029365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, t: 10}. Give prob of sequence tn.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 16975 = -2335. Suppose 5*y - 3048 = q. Suppose 25*x - 23*x - y = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3987662\/615 - 6484. Which is the second smallest value? (a) 0 (b) j (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 - 0.3. Let j = s + 1.522. What is j rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + s - 30646 = 0, 26*s + 2041 - 12282 = -x. Which is greater: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (66\/12 - 5)\/(2\/12). Suppose -l + q*k = 49, 2*l + 3*k + 112 = 2*k. Let h(y) = -11*y**2 - 6. Let w(n) = -100*n**2 - 55. What is l*h(t) + 6*w(t)?\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -426450690 to the nearest 1000000.\nAnswer: -426000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4986 + -4986. Solve 32 = -2*p - 4*o, f*o + o - 25 = 5*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.77687 nanoseconds in milliseconds?\nAnswer: 0.00005977687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/695 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 2*w**2 + 3*w + 3. Let z be i(-3). Suppose -x - z = -6. Solve 7*c - x*c = -8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/57)*q*q)**8\/(q\/q**(-4\/15))**(-29) assuming q is positive.\nAnswer: q**(5743\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 521136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-2\/5)*c))**(6\/23)*c**(-4)*c**(-3) assuming c is positive.\nAnswer: c**(-823\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -361*b**7\/630 + 19*b**6\/45 - 4*b**5\/45 - 15*b**2 + 13*b. Factor s(m).\nAnswer: -m**2*(19*m - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6 - 1\/(39\/(-22204)). Let s = -564 + w. Calculate the highest common factor of 354 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrbrbrr. What is prob of picking 2 r?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48\/49 + -2965\/1176. What is the common denominator of 47\/4 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 n when three letters picked without replacement from {e: 6, n: 10, o: 2}?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 60. Let o be (130\/8)\/(6\/n). Suppose 0 = 5*k + 4*b - 20, -5*k + 10*b - 5*b + o = 0. What is the lowest common multiple of 2 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747613 is divided by 1265.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o. Let q(g) = 4*g**2 + 215*g. Give q(z(b)).\nAnswer: 100*b**2 + 1075*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 7*c**3\/3 + 3*c**2 - 5*c - 1786. Let n(t) = -7*t**2 - 7*t + 6. Calculate -6*k(v) - 5*n(v).\nAnswer: -7*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (7 + 2)) + (-44 + 18 - (30 + -38))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 2:56 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-7) + (-8)\/(-14). Let g = -195 + 390. Suppose g = 3*i + q*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 7*q**2 - 4*q - 33. Does 37 divide k(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 - (-68 + 50)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284492 is divided by 142191.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 4*j**2 - 2*j. Let a(u) be the first derivative of -u**4\/2 - 5*u**3\/3 - 3*u**2\/2 - 6. Calculate -2*a(t) + 3*s(t).\nAnswer: -2*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1763543?\nAnswer: 1763543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172448757.\nAnswer: 3, 13, 389, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15171944027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 8. What is the units digit of (d\/(-3))\/(2\/(-117))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 divided by -1.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/7692 and 47\/15384?\nAnswer: 15384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 24401*a**2\/2 - 9*a - 1. Let v be g(7). Let r = 100798 - v. What is r rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 7*v - 12. Calculate the remainder when 33 is divided by z(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - 4*q**4 + q**2 + (q**2 + q**2 - q**2)*(0*q**2 + 11*q**2 + 4*q**2).\nAnswer: 11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = -16*t + 1. Put -4, -10, t in increasing order.\nAnswer: -10, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 25*v**2 - 1052*v + 402. Give d(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, -26 in decreasing order.\nAnswer: -2, -9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 225 + -179. Solve 5*q - 4*k + 13 = 0, -4*q + 14 = 4*k + s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 46, 5, 5208, 3, 1 in ascending order.\nAnswer: -5, 1, 2, 3, 5, 46, 5208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j. Let m be p(-1). Let w = 93 + m. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8*a = -9*a + 447, -447 = -3*c + 2*a. Suppose c*z + 10 = 151*z. Solve 0*p + z*p + 25 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f*f**(-6)))*f**(-20)*(f\/(f*(f*f\/(f*f**0))\/f*f))\/f**(-1) assuming f is positive.\nAnswer: f**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*((r*r**(6\/11))\/r)\/r)\/r)*r)\/r**(-1\/6))\/((r\/(r**(-1)*r))\/r*r)**20 assuming r is positive.\nAnswer: r**(-1147\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kccskkggccgcckg. What is prob of sequence ggsk?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 11:27 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 29 = b, -5*f - 385 + 830 = -243*b + 1780 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.993328 rounded to one decimal place?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -8*a - 59. Let n be r(-8). Solve -n*d + 10*d + 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/7, 3\/10, 4\/3, -5, 12, -0.05.\nAnswer: -5, -8\/7, -0.05, 3\/10, 4\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.4274876 rounded to one decimal place?\nAnswer: 53.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2368953123.\nAnswer: 3, 863, 915007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 13*x**3\/6 - 20*x. Suppose y - 1 = 3. Let g(d) = 2*d**2 - y*d**2 + 3*d**2. Give g(v(k)).\nAnswer: 169*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2915191619 to the nearest integer?\nAnswer: 53993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*c - 2*v - 2*v, 3*c + 15 = -2*v. Let o = c - -8. What is the nearest to 0.2 in -0.5, -2, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*y**3 + 2*y**2 - 541*y**3 + 140*y**3 + 51*y + 140*y**3 + 135*y**3.\nAnswer: 2*y**3 + 2*y**2 + 51*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2*h - 2*h)*(-1 - 11 + 2)*(-960*h + 960*h - 152*h**2).\nAnswer: 3040*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 20 = -33*f + 9*f. Let d(p) = -19*p - 3. Let m(o) = -10*o - 1. What is f*d(b) + 5*m(b)?\nAnswer: -12*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553318 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**5 - 94*w**3\/3 - 553*w - 554. Differentiate g(t) wrt t.\nAnswer: -20*t**3 - 188*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 2. Let g be 4\/2*(-1)\/y. Does 12 divide g\/(3\/(-51)*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 524941 - 524941.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*k - 3*g, 3*k - 7*k = 2*g - 22. Let i(p) = -7*p**2 - 7*p + 2. Let a(r) = -8*r**2 - 9*r + 1. Let z(l) = 6*a(l) - 7*i(l). Calculate z(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9 = -2*i. Solve 3*q - 3 = i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1167*s**3 - 1 - 3*s**4 - 1167*s**3 + (0*s + s**3 + 0*s)*(-1 + 1 + s) in the form h*s + x*s**2 + d + p*s**3 + f*s**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208436.\nAnswer: 2, 107, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10003?\nAnswer: 7, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 641 - 2425. Let x = -509 + g. Put x, 6, -8 in decreasing order.\nAnswer: 6, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**2)**2)**4 assuming n is positive.\nAnswer: n**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 714 - (-6 + 6)\/(-4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = c + 25. Let y(a) be the first derivative of -a**4\/4 - 4*a**3\/3 + a**2 - 7*a - 1. Let x be y(c). Solve 5*o = -2*d + 1 - 2, d = 5*o - x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(-7) - (-16)\/(-56). Is -3*-2*(74\/n - 3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028353 is divided by 1094?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -513368, -1026737, -1540106, -2053475?\nAnswer: -2566844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 4370148?\nAnswer: 65552220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*m - 23 = 0, 9 = 3*v + 2*m - m. Suppose v*j - r - 141 = 0, 4*r + 3 = 5*r. Let q = 11 + -1. What is the remainder when j is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from hxhhhhhhxxxhhhhhhhhh.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, 37, 62, 89, 118, 149, 182?\n\"Answer: k**2 + 20*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 + 21*m**2 - 14*m + 43. Determine c(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-416800)\/(-1192048))\/(15\/117).\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*d = -16*d + 45 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3662\/3 + -10988\/9. Let p = 171 - 111. Put c, p, 4 in descending order.\nAnswer: p, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**2*i - 7218*c**2 + 2*c*i + 331*i wrt i?\nAnswer: -2*c**2 + 2*c + 331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388 + 4*k + 6*k + 773 - 385.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 423 + 1337. Solve -218 - 225*l**5 - 3460*l**2 - 189 - 1365*l**4 - r*l - 3160*l**3 + 87 = 0.\nAnswer: -2, -4\/3, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2))**25 assuming r is positive.\nAnswer: r**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245239, -245289, -245337, -245383, -245427, -245469, -245509?\nAnswer: -245547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*v + 6 = 2*v, 0 = -4*t - 4*v + 8. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 3. Let r(o) = 9*o**2 + 7*o + 7. Let k(q) = 2*q**2 + q - 1. Let m be k(1). Let g(h) = -3*h**m - 9*h + 7*h**2 + 3 + 12*h. Give z*g(n) + 3*r(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 240331221 (base 5) to base 6\nAnswer: 35404334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*p = -i, 5*i = -p. Let k be (4\/2)\/(-2 + 3). Suppose 0*a + 5*a - k*s + 28 = 0, 3*s + 4 = -4*a. Sort i, -1, a in ascending order.\nAnswer: a, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107 or -1943\/18?\nAnswer: -1943\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.61 + 211.61. Let k = 204.41 - x. What is k rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(980) + sqrt(980) + sqrt(980)*1)*-5)\/(6*(3*sqrt(16)\/sqrt(4) + sqrt(4))).\nAnswer: -35*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.775 + -0.225. Put -3\/8, -4, -2, l in descending order.\nAnswer: -3\/8, -2, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 1)*(3*x**3 + 2*x - 2*x) + (-916*x**2 + 77*x**2 - 304*x**2)*(2*x + 0*x - x) in the form b + y*x + z*x**2 + n*x**3 and give n.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x + 2*f + 2 = 0, -2*x + 4*f = -28. Solve x*b = -7 + 27 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - (110 - 17)) + 57.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 80 = 2*f, -5*f - 55 + 250 = 12*z - 8*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 + 0*p**2 + 13*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 3*s**4\/2 - 15*s**2\/2 + 9730. Suppose 5*r = -2*x - 40, -6*r = -2*x - 3*r - 24. Let n(t) = t**3 - t. What is x*n(a) + i(a)?\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17023 - 17019. Solve i - 19 = o*z, 0 = 31*z - 33*z - 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 912?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 51?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.92 - -1.1. Let a = v - 1.18. What is the nearest to a in -2, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -4649, -665, -5, -4 in descending order.\nAnswer: 4, 2, -4, -5, -665, -4649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 1268*v - 1267*v + 2 - 3 + 3 - 5*v**2.\nAnswer: -5*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*b = 3*n - 14, -18 = -3*n + 2*b. Suppose 0 = 3*m + 2*m. Suppose -j = 4, 3*j = 5*w - m*j - 172. What is the greatest common divisor of n and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*o**2 - 80*o**2 - 78*o**2 - 76*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onoooooovnsnoonos. What is prob of sequence vvn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 10:01 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c652b5 + -3?\nAnswer: 1c652b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -24. What is the third smallest value in 3, 2, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -37960*v**2 + 23095*v + 7. Let p(u) = 25293*u**2 - 15397*u - 5. Let l(t) = 7*p(t) + 5*y(t). What is the second derivative of l(r) wrt r?\nAnswer: -25498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d + 5 = 5*f, 0 = -4*d + 3*f + 11. Let x(r) = 2*r**2 - r + 1. Let j be x(2). Suppose -2 = d*o - j. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04 and 53711.\nAnswer: 53711.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 10)*(-2*b - b - b) + 3*b + b - 3*b.\nAnswer: -39*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -6\/7 (c) 0.2 (d) -2\/5 (e) -10.66 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = 6*d - 10. Let s = 26 + d. Sort -5, 0.1, s.\nAnswer: -5, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50872, -101832, -152788, -203740, -254688, -305632, -356572?\n\"Answer: 2*t**2 - 50966*t + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30100604*s + 11 - 11 - 30100629*s.\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 - -5.7. What is the second biggest value in 5, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = 4*z + 8*t - 11*t, 2*z + 3*t - 210 = 0. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 34 = -d, -4*d + 4*r - 129 = 3*r. Let u = -18 - d. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m - 18. Let p(b) = -9*b - 17. Let g(c) = -6*f(c) + 5*p(c). Let q(u) = 2*u**2. Determine g(q(l)).\nAnswer: 6*l**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 14. Let j be t(-15). Solve -5*v + j = -3*m + 2, 0 = v + 5*m + 17 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 33*q**2 + 6*q - 24*q**2 + 6*q.\nAnswer: -57*q**2 + 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1341231?\nAnswer: 3, 647, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pggo when four letters picked without replacement from ypugnuoo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3805 = -1830*n + 296*n + 2200 + 1665 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 62. Let r be (30\/(-6) - -7) + -9. What is the smallest common multiple of 18 and j(r)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 + 17 - 4*u + 7*u**2 - 5*u**2 - u. Let m be o(-7). Solve -f = a - 5*f + 21, 0 = -m*a - f + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1491 and 243537?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1706 is divided by 323.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + (sqrt(539) + -3*sqrt(539) + 0 - (2*sqrt(539) + 1)) + -4 + -5))**2.\nAnswer: 8400*sqrt(11) + 216500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 4:46 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1982401 + 1982401 - 3*z**2 + 2*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7809 + 0.777561. Round g to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-59*(-240)\/33040)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124385 + -35796. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 11*p**2 + 10*p + 21. Let x(t) = t - 1. Let b(f) = -v(f) - 4*x(f). Let j be b(-12). Solve 3*i = -j - 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 + 25*w. What is the remainder when t(7) is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -5, 159, 0.07 in decreasing order.\nAnswer: 159, 0.07, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.0097009+-3456\nAnswer: -3455.9902991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 116*k + 915. What is h(65)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-1)\/(-6)*(17286\/(-1943) + 9).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**3 - d + d - 8*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*q - 14 = -0*f, -10 = -3*f + 2*q. Let l = f - 0. Let s = 1027 + -1013. What is the least common multiple of s and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-5) + ((-42)\/10)\/(-3). Solve -2*j = 4*b - 16, -t*j + 17 = -3*j + 3*b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 3322?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1052 and 143\/900.\nAnswer: 236700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 190 = -148 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2715163 + 27191663\/10. Let u = -3994 + p. Suppose -56 = -3*n - 2*r + r, -2*r = -2*n + 24. Calculate the common denominator of u and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 3*h - 2*h)*(-140394 - 98*h + 140394).\nAnswer: -294*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 665897*p**2 - 17*p - 70449480?\nAnswer: 1331794*p - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(20\/186) - (2304\/(-16))\/(-72))*2.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000367352 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381261*s**2 - 381261*s**2 - 2*s**3 + 6*s.\nAnswer: -2*s**3 + 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*y**3 + 155*a*y**2*z - 2*a*y - a*z**2 + 2*y**3*z - 7*y**3 wrt z.\nAnswer: 155*a*y**2 - 2*a*z + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24773 at most 24773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1044397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5669 divided by -2347.\nAnswer: -5669\/2347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -7*w**5\/10 - w**4\/12 - 83*w. Determine i(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1123404 is divided by 853.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (168\/(-126))\/((-4)\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + w - 1. Let y(h) = 19*h**2 + 28*h - 28. Let b(x) = -13*x**2 - 19*x + 19. Let l(k) = -7*b(k) - 5*y(k). Calculate 6*d(c) + l(c).\nAnswer: 2*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + h - 1 + 0.\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 3149\/2818 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4112, 11, 291?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4\/5 + 48*a**3\/5 + 123*a**2\/5 - 252*a\/5 - 324\/5 = 0 for a.\nAnswer: -3, -1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -13*d**2 + 62. Let c(a) = 462*a. Calculate c(t(u)).\nAnswer: -6006*u**2 + 28644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34473 or 34481?\nAnswer: 34473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w + 6. Let l(m) = m - 1. Let z(x) = 6*l(x) + o(x). Let c(j) be the third derivative of j**4\/12 - 4*j**2. Give z(c(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkkk when four letters picked without replacement from {k: 6, q: 13}?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 2*f + 2. Let h be j(-2). Solve m = l + h*m, 4*l - 24 = 2*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7284618 and 47718.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/12 + ((-368)\/56)\/(84\/(-49)). Let i(k) = 9*k - 1. Let t(r) = r - 1. Let s(g) = -i(g) + 6*t(g). Determine s(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, q: 15}. Give prob of picking 2 q.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 15*b - 17. Let y be d(13). Suppose y = -11*n + 20. Solve 3*x + 4 = 4*x - 2*a, 3*x + 5*a = n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 2. Suppose -3*m + 6*m = 0. Let h be v(m). Suppose -3*q = -h*a - 5, 0*a = a - 5. Solve q*o = 5*b, -2 = o - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -11, 7, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*z - 1286 + 16934 = 0. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 0*z + 0 - 132*z**2 - 1\/2*z**3 + 1\/3*z**4. Calculate u(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 8*s - 2. Let j be q(7). Let r(z) = -3*z**2 + 13*z + 10. Let u be r(j). Suppose 2*i + o + 49 - 361 = u, o = i - 153. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*677401\nAnswer: 270960.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -111101000000001010 (base 2) to base 8\nAnswer: -750012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -93, -666, -2223, -5256, -10257, -17718, -28131?\n\"Answer: -82*d**3 + d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/60 - (-3)\/((-15)\/(-4))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -963\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4017 - 2?\nAnswer: 4015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + 9580\/(-800))*16?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 314 by 3144.\nAnswer: 157\/1572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/25 - (-2)\/(-10). Let s be 1\/(2\/(m + 61)). Let a = 57 + -51. Calculate the highest common factor of a and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 0 + -3 + -61. Let r = -56 - t. Suppose -51 = s + 5*n - 161, r*s = 2*n + 352. Calculate the highest common divisor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185a (base 11) to base 8.\nAnswer: 4474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one eighths of a day?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 5. Let j be f(-4). Is (j - -1) + (19 - 6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182.2*-3.\nAnswer: -546.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*s - 39*s - 21 = 0. Suppose s*l = -4*b - 11597, -2*l - l + 3 = 0. What is b rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 9*d**2 - 34*d + 67. What is the tens digit of l(20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100ec50 (base 16) to base 5\nAnswer: 13302301322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6125)\/(-70)*3\/(-60)*(-3)\/(-5).\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1007 + 648. Let l = n - -541. List the prime factors of l.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2)*8\/(-10) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 6*d + 2. Let x(v) = -v**3 - 6*v**2 - 5*v + 4. Let r be x(-5). Let u = r - 14. Let a be w(u). Round a to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 4*n - 6. Suppose -4*s + 5*a = -41, -2*s - a = 2*s - 11. Calculate x(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 b when four letters picked without replacement from yyyyybbybbyb.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1775)\/(-3550))\/((3\/20)\/3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 430980 and 2115960.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*t**6*w - 31*t**6 + 8*t**2 - t*w - 32*t - w wrt t?\nAnswer: -480*t**3*w - 3720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 17*t**2 - 31*t - 19. Let d be g(-15). Suppose -7*n - 266 = -9*n. Let a(j) = 64*j - n*j + 71*j. Calculate a(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.16202799 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1\/4)*v)**(-13)*v**(-6)*(v*(v\/(((v\/v**(-2\/13)*v)\/v)\/v*v))\/v)\/v)**(-20\/7))**1 assuming v is positive.\nAnswer: v**(7775\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 289*v**2 - 2074*v + 3564. Calculate t(3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2170422 by 5.\nAnswer: 2170422\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/21, 1, 56, -2\/5, -63, -10, -17?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 - 22\/11)*((-40)\/6 + 6). Suppose 4 - 3 = s. Sort 3, s, y in increasing order.\nAnswer: y, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1060 and 636.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42943?\nAnswer: 42943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 + 33 - 8) + (4 - -140).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -13 + (404 - 8) + 2. What is the greatest common divisor of z and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43.7 - -0.3. Let g = -43.22 + r. Let z = g + 0.22. Which is the third smallest value? (a) z (b) 0.05 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 60*z**2 - 2778*z + 6234. What is i(44)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1500393 = -5*c - 107*c + 547191. What are the prime factors of c?\nAnswer: 2, 3, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732798887?\nAnswer: 732798887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c3 - -6?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.112118 milligrams to kilograms.\nAnswer: 0.000007112118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416\/32 - 31 - (10 - 1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 13*z**2 - 7*z + 2. Let w(n) = 40*n**2 - 22*n + 7. Let o(a) = -11*i(a) + 4*w(a). Does 24 divide o(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-9)\/(-12))*(-72)\/(-42)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z = 0. Let a(n) = n**3 + n**2 - n + 20. Let l be a(z). Solve 6*s = 2*s - l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2286 + -2347 - (-41 - 1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6627709 is divided by 368?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.15 + 6.15. Let k = r + 1. Let w = 10 - k. What is the second biggest value in w, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*c = 49, 2*c + 48 = 5*p + 5. Let z(t) = t**2 - t + 99. Let i be z(0). Calculate the highest common factor of i and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/(-42))\/(6810\/(-12) - 2). Are i and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116088 to the power of 1\/2, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14534685059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 532?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036453239.\nAnswer: 3, 647, 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 890435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 7*c**2 - 12*c + 28. Let w be (((-855)\/38)\/9)\/((-10)\/24). Determine s(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*a**6*j**3 - 149285*a**6 + 3*a**2*j**2 + 31894*a**2 - 4*a + 2*j**3 + 2*j**2 wrt a?\nAnswer: 840*a**3*j**3 - 17914200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.8 - 1.8. Let j = -27 + 26.92. Let s = -0.02 + j. Which is the second biggest value? (a) -5 (b) s (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -2\/47, 5, -27, -1\/3 in increasing order.\nAnswer: -27, -1\/3, -1\/7, -2\/47, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 235.6 - 46.6. Let l = 188.9 - f. Let s = 31 - 29. Which is the closest to 6\/11? (a) l (b) s (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/27 or 0?\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1093 and 28198307?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 0 + -1 + (0 - -65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 + 4*b**2 + 5*b**3 - 3*b**3.\nAnswer: -2*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -1173.07?\nAnswer: -234.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 + 2 = 0. Suppose q - k = 17. Let z = 62\/3 - q. What is the smallest value in 0.2, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*k - 3*q = 85*k + 87*k - 9, 0 = -q + 5*q - 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 2*j**3 + 0 - 48*j**2 + 0*j + 1\/12*j**4. Calculate f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 667*j + 2 - 8 + 520*j - 893*j as z + m*j and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4 + (2*sqrt(175) + 5 - sqrt(175)) + 4*1*sqrt(175))**2.\nAnswer: 50*sqrt(7) + 4372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0. Let s be 3 + -3 - (1 - 7 - g). Suppose 189 = s*u - 4*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-993 + 141 - 195)*(-2 - 3 + 3)*(2*s - 4*s + 0*s) in the form q*s + n and give q.\nAnswer: -4188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10506071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -238*r - 280*r**2 + 238*r + 279*r**2 + 1. Let o(k) = k**3 + 7*k**2 + k - 4. What is -o(a) - 4*y(a)?\nAnswer: -a**3 - 3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 402 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7644 - -7680. Put 1, 4, b, 2, -4 in descending order.\nAnswer: b, 4, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**2*k**2 - 11*g**2 + 83*g*k**3 - 31*g*k**2 - 2*g - 37*k wrt k?\nAnswer: 6*g**2 + 498*g*k - 62*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 13*w**2 + 45*w - 47. Differentiate x(n) with respect to n.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -103 - (82 + (-100 - -5)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -120*j + 6434. What is v(57)?\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15807 by 3.\nAnswer: 5269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j + 4*j**3 - 6*j**2 + 4*j**3 - 9*j**3 - 5. Let b(n) = -21*n + 6. Let d be b(-1). Let u be ((-14)\/6)\/(d\/81). What is x(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -463 - -510. List the prime factors of m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 2, -4, -120.\nAnswer: -120, -6, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10327, 20654, 30981?\n\"Answer: 10327*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (44\/(-10))\/(1898\/190 - 10). What is the highest common factor of 22 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 648\/126)\/(69\/(-1288))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -0.908387532\nAnswer: -1.308387532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 17*o - 4 + 3*o - 8 + 12. Let i(j) = -10*j. Give -3*b(m) - 5*i(m).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -3313\/4 and -828 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23\/390 - 312\/12168. Which is the second smallest value? (a) -5\/6 (b) z (c) 0.5 (d) -0.1 (e) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2671.419036 * -0.2.\nAnswer: -534.2838072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 2*t**2 + t + 2. Let q be h(2). Let c be (-146)\/q - (-3)\/6. Let a = c - -51. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - x + 4, 0 = -8*v + 4*v + 2*x + 22. Suppose 4*t + w - 42 + 16 = 0, 0 = v*t + 4*w - 13. What is the remainder when t is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*988869.\nAnswer: 39554.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11123 (base 4) to base 8.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30, 75, 130, 195, 270?\n\"Answer: 5*i**2 + 30*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/5 - 609*o\/5 + 612\/5.\nAnswer: -3*(o - 1)*(o + 204)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 32*f**4\/5 + 52*f**3\/5 - 404*f**2\/5 - 1096*f\/5 - 672\/5 = 0.\nAnswer: -21\/8, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -45*r**5 - 8*r - 8 - 4*r - 28*r - 7*r. Let n(i) = -30*i**5 - 31*i - 5. Let y(h) = 5*j(h) - 8*n(h). What is the second derivative of y(o) wrt o?\nAnswer: 300*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/675)\/(((-2)\/3)\/(-1))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + j - 16333 + j + 16276 - 10*j + 4*j.\nAnswer: 2*j - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (9 - 2) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-3)*(-12)\/(-8). Let j be f\/(-20) + 7\/5. Which is the closest to 2\/5? (a) 2\/11 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 42373.2 and 14438416.\nAnswer: 14480789.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6228434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1057348)\/(-155) - (-2)\/5) + 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 905890660?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45627.\nAnswer: 3, 67, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*b + 16, 0 = -3*x - 0*b + 2*b - 13. Let i(r) be the first derivative of 3*r**2 - r - 17. Calculate i(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/45 and -149\/3141660.\nAnswer: 9424980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2913, 5831, 8751, 11673, 14597?\n\"Answer: z**2 + 2915*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102120 (base 3) in base 14?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*1)**2 + sqrt(242) + 2.\nAnswer: 11*sqrt(2) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 14*a = 4*d + 41963, 25171 = 3*a + d. Suppose -10*b + a = -2279. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 181*c**3 - 2*c - 15*c**3 - 22*c**2 - 167*c**3 - 14*c**2 + 3 as q + f*c**3 + n*c + k*c**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000298 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -23*l**3 + l**2 + l + 1. Let a be q(-1). Suppose u - a = -h, -h - 81 = -5*h - u. What is the common denominator of h\/(-228)*(-114)\/4 and -55\/52?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*h = 353*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1774 - -1743. Which is greater: 0.8 or u?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2310774.6 - 0.2\nAnswer: 2310774.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 5*y - 4*y + (6 + 0 - 3)*((-4 + 2 - 1)*(2*y + 0*y - 3*y) + (-3 - 12 - 6)*(1 + y - 1)) as f*y + m and give f.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-161)\/(-49) + -3)\/(-1). What is the fourth biggest value in 3\/4, -1, -1\/2, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410*z - 90 = 405*z. Let n(y) = -1 - 2*y + 4 - 8*y. Calculate the remainder when n(-3) is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddmqqqqmdmqmqqmdmqqq. Give prob of sequence qqd.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwswaamaajjwaaa. Give prob of picking 2 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44743979?\nAnswer: 7, 2467, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*r - 4. Find the third derivative of 0*p**3 + p**r + 0*p**3 - 7*p**3 - 4*p**3 wrt p.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 169, 4, 229 in ascending order.\nAnswer: -4, 3, 4, 169, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*z**4 + 5*z**4 + 17*z**4 - 52 + 26 + 3*z in the form k*z**3 + t*z**4 + j*z + w + i*z**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 - 191*u**3 - 179*u**3 - 89*u**2 + 343*u**3 wrt u?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 2024489.\nAnswer: -9\/2024489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 123452.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + 2. Let x = m + -20. Suppose 4*a - 539 = x. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*c + 5*z - 4, 3*c = 5*z + 19. Let b be 5 + ((-2)\/(-2))\/1. Suppose -p - p + b = 0. Solve p*j - u = 4, 0 = 4*j - c*u + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.7 + 49.7. Let h = 45 - p. What is the nearest to -2\/9 in -0.3, -0.4, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 80.\nAnswer: 80.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*i - 163 + 61 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 - -69)*2*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*m**3 - 2*m**2 + 0*m**3 - m - 3*m**2 + 208 - 224 wrt m?\nAnswer: -54*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*g - 2*u, -3*g - u + 2 = 4. Let s be 5 + -3 - g*2. List the prime factors of s\/(-22) - 136\/(-22).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, t: 1}. Give prob of picking 2 i and 1 t.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43024240 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -177 - -126. Let n = 46 + h. Which is the biggest value? (a) -1\/16 (b) n (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 69 = -717. Let n = w - 72. Solve n = -3*u + 5*g - 6, -3*g + 15 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n**2 + 115*n - 458. Let i be y(4). What is the greatest common factor of 156 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+77390580772\nAnswer: 77390580772.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6938.\nAnswer: 2, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -679 + 2.8319?\nAnswer: -676.1681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 58652 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -2220112202?\nAnswer: -2220112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(13) - (sqrt(13) + (1*sqrt(65))\/sqrt(5))) - (((sqrt(13) - 2*sqrt(13))*3)**2 + sqrt(13) + (sqrt(13) - (sqrt(13) + 1 + -4)))) + 2.\nAnswer: -116 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176)\/44*(1\/(-7))\/(-1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 13\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 13 = -11*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**3 - 21*o**2 - 24*o - 1. Let z be v(8). Suppose -2*g = -2*w - 0*w - 10, 20 = -4*w - 3*g. Which is the closest to z? (a) w (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/27*18\/(-5)*(-180)\/108. Which is the nearest to 0.1? (a) -0.5 (b) 0.3 (c) k (d) 0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/45 and 34\/39263895.\nAnswer: 39263895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14 - 1)*(-500)\/(9 - 4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00243144895 rounded to 5 dps?\nAnswer: 0.00243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d + 10*d + 13*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 309*h + 10807. What is q(-32)?\nAnswer: 919","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 19. Let h(z) = 2*z - 18. Let o be h(10). Suppose o*n + 32 - 20 = 0. Sort n, -5, j in decreasing order.\nAnswer: j, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34249959 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -93 + 104 - 39*x + 48*x + 8*x**2. Let w be m(-1). Solve -15*o + 10*o - w = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 52*r**2 - 111*r - 172. Let s be q(-54). Put -5, 0, s in ascending order.\nAnswer: s, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*q - 12*q + 20*q + 19*q**2 + 31 wrt q?\nAnswer: 38*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -354413 (base 8) to base 5\nAnswer: -12333344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166\/109 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4669)\/1334)\/(2*(-14)\/72)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*m + 518. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72281 + 5?\nAnswer: 72286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2404557*b**3 + 8*b**2 + 11394*b + 1 wrt b?\nAnswer: 14427342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149 by 21.\nAnswer: 149\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 4 - 2*y - 1)*(3*y**2 - 3*y**2 - 5*y**3) to l*y**3 + x*y**4 + d + c*y**2 + s*y and give l.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14848.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 5*g**2 - g + 1. Let h be n(2). Suppose 4*d + 2*f + 1 - h = 0, 3*d + f - 5 = 0. Solve d*l + 3*l + 2*c + 17 = 0, c - 19 = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + 2 - -3 - (-9 + 40 + -13))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 331 - 103401?\nAnswer: -103020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27877, 25591, 23305, 21019, 18733, 16447?\n\"Answer: -2286*i + 30163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/155, 0.04, -2, -1496, 1\/6?\nAnswer: -1496","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/27 of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -0.6?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 1) + -5 + 6. Let i = -2 + 8. Solve 0 = -v - h + i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 424907, 424903, 424889, 424859, 424807, 424727, 424613?\n\"Answer: -z**3 + z**2 + 424907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108188 by -4.\nAnswer: -27047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -442 by -26.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 3425*i = -3430*i + 65, 34 = -4*z + 2*i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 1:49 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + 332303120?\nAnswer: 332303030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 4*l - 3*l + (7 - 1 - 3)*(4*l - 2*l + 0*l).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6112 + -6132. Let l(s) = 5*s + 59. What is l(o)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4*g - 4 = 0, -23 = -g - 27 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -50*x**2 + 1783*x. What is a(36)?\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/2 - 43175*h**2 - 9480350*h - 521086500.\nAnswer: -(h + 110)**2*(h + 86130)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 16*l**2 + 7*l - 8. Let m be p(-16). Let u = -229 - m. Let f = u + 176. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8 + -7 + (-603)\/72 and -29\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2 = 7. Let w be 9\/3 + u*-6. Let z(y) = y**3 + 2*y**2 - y. Determine z(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y = 4*v - 41, 4*v + 9 = 5*y. Calculate the greatest common factor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**3\/2 + 3238*u**2 - 12955*u\/2 + 3239 = 0?\nAnswer: -6478, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1636735.966 to the nearest 10000.\nAnswer: -1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 36, 0.7, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 + -97. Let u be (4\/5)\/((-108)\/90). Put 2, r, u, 1 in decreasing order.\nAnswer: r, 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 4*b - b. Suppose -b = 2*w - 3*w. Suppose -c + 2*c = 4*u - w, 3*u - 4*c - 53 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-102)\/187 - (-54)\/(-22). Let p(o) = o**2 - o + 1. Let a(u) = -u**2 + 2*u - 1. Let t(s) = a(s) + 2*p(s). Give t(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q + 32. Let j be o(-4). Let v(x) = 5*x**2 - 22*x + 8. Let d be v(j). Solve 0 = 4*b + p - 17, d = -4*b + b - 2*p + 19 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -115*m + 66*m + 56*m. Let f(g) = -16*g**2 + 20*g - g**2 - 20*g. What is f(d(i))?\nAnswer: -833*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 11*f + 58. Let c(q) = -21*q - 101. Let v(r) = 4*c(r) + 7*k(r). Determine v(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1880, 1851, 1822?\n\"Answer: -29*q + 1909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/9*-6*(-7917)\/(-6032).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -220 + 240. Suppose -15*u - 3055 = -v*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -464, -616, -1046, -1892, -3292?\n\"Answer: -23*o**3 - o**2 + 12*o - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1308 + -1302. What is the smallest common multiple of x and 321?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*l + 13 = 0, -5*m - 4*l + 25 = -5. Let c be (-4)\/(-4) + (-6)\/(-3). Let n be (-1 + (c - -14))\/1. What is the highest common factor of n and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 - 329017*f + 328830*f.\nAnswer: -187*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 + 2 + 113 + 7*c + c - 2*c.\nAnswer: 6*c + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7693\/5 + -100019\/65. What is the fourth biggest value in 1, 2\/5, 48, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 130 = 2*p, -87 = -2*p - 3*u + 44. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0058116068 to 4 decimal places.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 17 = 2. Suppose -4*a = 4*s - 24, -4*s + s = -2*a - h. Suppose a*u - 10 = 2*u. Solve 0*v + u = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 9:07 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*b**2 + 16*b - 444*b**2 - 170*b**2 - 86*b**2.\nAnswer: -622*b**2 + 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5*(2*(sqrt(130) - -1*sqrt(130)))\/(-1*sqrt(490) + sqrt(10)))**2)*2.\nAnswer: 2510\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**6\/120 - 7*d**5\/120 + d**4\/12 - 3*d**2. Let x(g) be the second derivative of w(g). Is x(-5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 444118298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3258 - 3258.000023028. Round w to 7 dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219\/(-20367)*-6*1\/2?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 12 = -2*x. Let s be 1\/((x - -7)\/24). Let m = s + -8. Let f(v) = v**2 - v + 17. What is f(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 - 104. Let u(r) = -2*r + 17. Let l be u(n). Suppose 2*s - 801 = -4*y - s, s = -l*y + 607. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 103. Let f be q(-35). Let d(z) = z**2 + 4*z + 2. Let w(c) = c**2 + 2*c + 1. Determine f*d(k) + 5*w(k).\nAnswer: 3*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930 a factor of 14746885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - 4*n**2 - n**2 + n**2 + 2*n**2 + 0*n**2 + (-3 - 3 + 5)*(-4 + 4 + 2*n**2) + 22 - 239*n - 8*n**2 + 239*n.\nAnswer: -9*n**2 + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-1)\/(-2)*(1 + 52 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2654 - 23*m + 7956 - 2652 - 2650.\nAnswer: -23*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 157713714973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74777296 a multiple of 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/2*(-132)\/99*-1. Suppose 6*f = f + 3*q + 63, 57 = 3*f + 3*q. Calculate the greatest common factor of f and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 95\/20 + -3)*7180. Suppose 3*n = 4*k - 3213, n - 1366 = 5*k - f. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 862.246 days?\nAnswer: 74498054.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 20510.551 to the nearest ten.\nAnswer: 20510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.659\nAnswer: -0.1318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101100 (base 2) to base 3.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 12:08 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b + 1. Let s(d) = 2*d + 0*d - 4*d + d. What is q(s(t))?\nAnswer: -4*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -7 + 17. Let s be q + 20\/6 + -2. Let u = 0.2 - -0.8. Which is the nearest to 2\/5? (a) -0.1 (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 2. Let o be r(2). Let d = 13 + -8. Put d, 2, o in increasing order.\nAnswer: o, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1715*t + 8346*t + 479*t + 3 as j*t + x and give j.\nAnswer: 10540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 3*k**4\/2 + 2*k**3\/3 + k**2 + k + 2. Let u be w(-1). Let s = 2 + 2. Sort u, s, -1\/6 in increasing order.\nAnswer: u, -1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1748361, -3496730, -5245099?\nAnswer: -6993468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4298 or 4296?\nAnswer: 4298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.037 + 0.237. Let t = -1.9 - -2. Which is the nearest to h? (a) -1\/2 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 177266222*a**6 + 135*a**2 + 601*a - 426 wrt a.\nAnswer: 21271946640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5609242 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) -1573 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-50))\/(54\/(-180)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 8 = 2*b - 4*b, 4 = -4*v - b. Suppose v = -3*x + 96 - 330. Let o = 238 + x. What is the greatest common factor of o and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 78700310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-952)\/24480*90\/(-70)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 100 = 3*g - 4*c + 2*c + 20, 0 = -g + 2*c - 174 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -70, -254, -564, -1000, -1562, -2250?\n\"Answer: -63*l**2 + 5*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 58 = -28*m + 4*m. Solve m*u + 43*p + 3 = 44*p, -2*u = -3*p + 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-11)*(15 + (154\/28)\/(-11) + -13)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8 = 0, 7*y + 2 = -2*l + 4*y. Suppose -l*k + 38 = 3*p + 1, p + 1 = k. Suppose 6 = b + p. Calculate the remainder when b is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3370 or 6\/7?\nAnswer: 3370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916014?\nAnswer: 2, 3, 11, 13879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 5:36 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.101171 to three dps.\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -333 - -358. Differentiate u + 19 - 75 - 2*c - 2*c - 3*c**3 wrt c.\nAnswer: -9*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936048866?\nAnswer: 2, 17, 37, 744077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 16*f + 10*f + 11 - 9 - f**3 to k*f**3 + g*f + c + s*f**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1751 - 7*m + 17*m**2 + 1757 + 7*m - 3525.\nAnswer: 17*m**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 256248757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -1242752, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 365984730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019433 rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202 - 217 + 10*b + 44*b + 420 - 5*b - 16*b.\nAnswer: 33*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -49*v**3 - 2*v - 3. Let j(q) = 50*q**3 + 3*q + 2. Let k(t) = 5*c(t) + 6*j(t). What is the second derivative of k(d) wrt d?\nAnswer: 330*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**3 - 2*i + 0*i + 3*i**3 + (-76*i**2 + 65*i**2 + 154*i**2)*(-2 + 3*i + 2) + 2*i**3 + 2*i**3 - 2*i**3.\nAnswer: 430*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5*g + 1)*(-1 - 5 - 2) as v*g + c and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1110 (base 7) to base 15\nAnswer: 1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 44, -3, 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**0\/o)**39*o**(3\/2)\/(o\/o**4))\/(((o*(o**(-5)\/o*o)\/o*o)\/o**(-7))\/((o*((o*o\/(o\/o**(3\/5))*o)\/o)\/o)\/o**(-2))) assuming o is positive.\nAnswer: o**(51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7260034 and 9976?\nAnswer: 2494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1187*i + 2326.\nAnswer: 1187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 137195137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-5*54\/(-10))\/((-309)\/206).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 24 + -8 + -16 + -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*p - 156, 839*p - 843*p - 5*s = 156. Sort p, -2, 5, 3, 1 in increasing order.\nAnswer: p, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*z - z + 3*y, -1 = -3*z - 2*y. Let a = -235.1 + 3.1. Let h = 231.5 + a. Put z, h, 1 in increasing order.\nAnswer: h, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p - 38. Let a(n) = 20*n - 171. Let t(u) = 2*a(u) - 9*o(u). Let y(m) = -12*m**2. Calculate t(y(h)).\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - j + 2. Let f be b(0). Factor -f*u**4 - 2*u**3 + 4*u**4 - 3*u**5 + 2*u**4 + u**5.\nAnswer: -2*u**3*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 16 = -3*x, -4*r - 5*x = -36 + 6. What is the smallest common multiple of r and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3\/7 (c) 2\/27 (d) 18151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 6*j**2 + 8*j + 5. Calculate the remainder when c(7) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -385*y**2 + 77*y**2 + 197*y**2 - 319*y**2 + 3*y**3 in the form b*y**3 + l + x*y**2 + k*y and give x.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29165?\nAnswer: 5, 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -170*z**2 - 132*z + 269*z + 5 + 191*z**2 - 133*z as w*z + n + b*z**2 and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and (-4 - -8)\/12*18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/83 - 172\/249. Let x = -2\/35 + 109\/70. Let a = -0.55 + 0.05. What is the second smallest value in a, x, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1551 or 1545?\nAnswer: 1551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 394, 381, 320, 181, -66?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -32. Let p be (-4 - 2)\/(-1) + (-6)\/l. Solve -2*b = -2*h, -b = -p*b + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -2.8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c + 73. Let w(p) = -28*p + 232*p - 210*p. Determine f(w(g)).\nAnswer: -12*g + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 1. Suppose -791 = -2*d + 5*c, 0*c - 3*c + 412 = d. Let u(b) = d*b - 406*b + 1 - 3. Determine -4*a(i) - u(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**3 + 14320*l**2 - 12816400*l = 0. Calculate l.\nAnswer: 0, 1790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1365.1 - -4.122624174.\nAnswer: -1360.977375826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1098 + -1080 - (102 - 5)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 102*h + 1865. Calculate m(-19).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14740, 14632, 14452, 14200?\nAnswer: 13876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(((l**6\/l*l)\/l*l)\/l*l)\/l))\/(l*l**(5\/2))*l**(-5)\/(((l*l*l\/(l\/(((l\/(l*l\/(l*l*l\/l**5*l))*l)\/l)\/l)))\/l)\/l*l) assuming l is positive.\nAnswer: l**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hht when three letters picked without replacement from {t: 1, h: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 5*k + 13 = -17, 0 = 2*j - 3*k - 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 705790656 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.28 - 3292?\nAnswer: -3309.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-11 - (4 - 9)) - -13) + (-149 - -272).\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*w + 122*w - 6164 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 29*o**7\/210 - 7*o**4\/6 - 29*o**2. Find the second derivative of r(y) wrt y.\nAnswer: 348*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 + 17 - 17 = 9*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4553.\nAnswer: 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 17*p**2 - 3*p + 3. Let f be v(2). Suppose 4*j = 5*l - 4*l - f, -3*l = -4*j - 195. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6671301989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.2 + 4.4. Which is the third smallest value? (a) -16 (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/4*10\/(-5). Let v = 9 - h. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*f - 203*f**4 + 397*f**4 - 2*f**2 - 196*f**4 to the form t*f + r*f**4 + s*f**3 + m*f**2 + c and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 3*k**2 + 4*k - 4. Let f be a(-7). Let r be (3\/6)\/(-9*2\/(-9252)). Let m = r - f. List the prime factors of m.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2093\/26)\/(-23)*2\/42\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.4 (c) -1\/6 (d) 945862\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**2\/(q*q\/q**(-6)*q)*(q**(-1\/3))**(-49) assuming q is positive.\nAnswer: q**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 7. Let d be z(-7). Suppose 0 = 3*a - 4*s - 32, 2*s - s + 5 = d. Suppose a*w - 3*f - 2*f - 143 = 0, 4*f = -12. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 1:21 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119058999?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(9\/2)\/o)**50*(o\/o**20)\/o*o*o**19 assuming o is positive.\nAnswer: o**175","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 9*y**2 + y + 2. Let u(h) = h**2 + h + 4. Calculate the least common multiple of g(-1) and u(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 251 + -243. Suppose 5*h - 3*h = q. Solve 1 = -h*v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3301557647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millennium in years?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 6*o**2 - o + 2. Let g be x(6). Suppose s - 8 = f, -3*s + f + 32 = 6*f. Let r be 1 + s\/(-6)*2. Which is bigger: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-2*(-4 + 2). Suppose 96 - 80 = 16*n. Sort 6, -5, s, n in increasing order.\nAnswer: -5, n, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-6*(-3)\/(-27)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 41 - 357 - 24)*(3 + 3*n - 3) + (-4 + 2 + 1)*(-2*n + 4*n + 0*n).\nAnswer: -1223*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.00288ml in litres?\nAnswer: 0.06800288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 97 = -78. Suppose -892 = 21*c - k*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3349423, 6698853, 10048283, 13397713, 16747143, 20096573?\n\"Answer: 3349430*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 8 - 6 - -12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5246429629004 and -4.\nAnswer: 5246429629000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207799407 is divided by 1267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 8*t - 22. Let i(j) = 10*j + 10. Let u(q) = -q - 1. Give t*u(s) + 2*i(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + -11 - (-154 - -105)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -25*f**4\/6 + 1205*f**3\/6 - 112*f**2\/3 - 382*f\/3 - 32 = 0?\nAnswer: -2\/5, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20341254 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/(-162))\/(((-2)\/(-9))\/(110\/(-66)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)\/(i*i\/((i**(-1\/8)*i)\/i)))\/((i*i**(5\/7)*i)\/((i*i*i\/i**(2\/3)*i*i)\/i)) assuming i is positive.\nAnswer: i**(-1261\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 2*h**2 - 2*h**3 + (182*h - 302*h + 259*h)*(0 - 2*h**2 + 0) to q*h + c + s*h**2 + d*h**3 and give d.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4969*z + 21066*z + 3228340 for z.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -180620 - 371?\nAnswer: -180991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*a - 82*a + 116. Suppose -38 = -10*r + a*r. What is the fourth smallest value in 9, 4, r, 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*w + 42*w + 45*w + 14*w + 37*w - 169*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75*s + 2 + 75*s + 7*s**2)*(-3*s + 2*s**3 + 3*s + (0*s**2 - 2*s**2 + 4*s**2)*(s + 0*s + s)).\nAnswer: 42*s**5 + 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-5)*1\/4. Is d >= 1\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54909414.7 rounded to the nearest 1000000?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*b + 25 - 28 = 0, 4*b + 1 = -p. Let t be (-36)\/(-108)*(p + 1). Find u such that 3\/4*u - u**3 + t + 11\/4*u**2 = 0.\nAnswer: -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**2 - 5348*q - 5350. Calculate j(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -447*l - 12. Let s(c) = 247637*c + 6645. What is 2215*d(m) + 4*s(m)?\nAnswer: 443*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 489*h**3*q**2 - 2*h**3*q - 104*h**2*q - 316779*h*q**2 + h*q + 4*h + 1553*q wrt q.\nAnswer: 978*h**3 - 633558*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -961230 to the nearest ten thousand.\nAnswer: -960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f = -21*f - 209. Solve f*a - 16*a = 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5965 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 662168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 3. Let m be v(-4). Let t = 24 - m. Suppose 0 = 2*b - t - 7. What is the remainder when 15 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 396*q**3 - 2056*q**2 + 5292*q - 2842.\nAnswer: 2*(q - 203)*(q - 1)**2*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - (5 + (-4)\/15))\/((-2)\/6). Which is the closest to j? (a) 0 (b) -12 (c) -5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101111010 - -11101101?\nAnswer: 101001100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*p**2*w**3 + 12*h**3*p - 2*h*p**2*w**3 - p*w**3 - 3*w**3 wrt p.\nAnswer: 2*h**3*w**3 - 4*h*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-15)\/q)**(1\/21)*q\/q**(-11)*q*q*q*(q\/q**27)\/q assuming q is positive.\nAnswer: q**(-268\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1300 = 446*m - 316*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27831815819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 12*q - 138. Let k be c(8). Let z be (-109)\/(-7) + k\/(-98). Solve 5*l + z = 3*a, 5*l = -2*a - 0 - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -42*w**2 + 13*w + 6. Let h(o) = -14*o**2 + 4*o + 2. Give 2*a(k) - 7*h(k).\nAnswer: 14*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1186*b - 77448 = -39*b - 158*b for b.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -331819.\nAnswer: 1\/331819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 3, h: 4, w: 2}. Give prob of sequence lw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 10 + -5 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*q - 2244 - 6362 = -537 + 3831 for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2843660\/9 != -315962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 474.50702 - 474.3. What is a rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/65 - (170\/(-510) + 916\/1209)\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13654, -54620, -122896, -218482, -341378, -491584?\n\"Answer: -13655*v**2 - v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -547*a - 3809. Calculate the lowest common multiple of z(-7) and 2242.\nAnswer: 22420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 135224583?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/27)\/z)\/z**(-4\/3)*(((z*z*z**(-2\/13))\/z)\/z)\/z*z**(-2) assuming z is positive.\nAnswer: z**(-1016\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, k: 2, m: 5}. Give prob of picking 2 m and 1 o.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-744)\/(-15)*(-3)\/12)*(-190)\/(-114)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7221439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 14 = 5*t, -81*r + 77*r = -4*t - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22795348?\nAnswer: 2, 5698837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3406303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-124 - (10 + -4 - -10 - 14)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4340079494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 - 1.9. Suppose 1520 = 5*u - 1585. Let s be 54\/u - 44\/(-23). Which is the third biggest value? (a) s (b) i (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 6528878\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 5:58 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52.958 greater than or equal to -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0086709226447 - 233\nAnswer: -233.0086709226447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - s + 3 = 0, 4*l = -48636*s + 48631*s - 23 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g + 3*g + 6*g - g. Let q(z) = z - 1. Let h(j) = 0*j**2 - j - 6 + 6*j - 7*j**2 + 1. Let i(u) = -h(u) + 5*q(u). Determine i(s(x)).\nAnswer: 175*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 0*h - 1\/40*h**4 + 0*h**3 + 1\/100*h**5 + 0 - 5*h**2. Factor a(g).\nAnswer: 3*g*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*(((l\/l**(-13)*l*l*l)\/l)\/l)\/l)\/l)\/l)\/(l*l*l\/(l*l\/(l**(-10)*l)*l)))**(-34)*l**(2\/5)\/l**8*(l\/l**(-5\/4))\/((l**(1\/6)\/l)\/l) assuming l is positive.\nAnswer: l**(-45091\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - 2*sqrt(17))**2 + sqrt(17))*4 + sqrt(34)\/(sqrt(2) + sqrt(2) + sqrt(2)*-1).\nAnswer: 5*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/97 in 5, -22.7, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 4*r**2 - 6*r + 8. Calculate o(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-9 - 0) - (-34 - (-36 + -20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 965635221790 and -0.4.\nAnswer: 965635221789.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7082954?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/276)\/(56\/6)*2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16339 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -270820, -270982, -271122, -271228, -271288?\nAnswer: -271290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6534497.42 less than -0.5?\nAnswer: -6534497.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7198737*f**2*l*u - 1028*f**2*u + 339*f**2 - 9*f*l*u + 3*f*u + 2*f + 2*u wrt l?\nAnswer: 7198737*f**2*u - 9*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18*(-6 + 2)*(-5)\/3. What is the highest common divisor of p and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -1\/10 (c) -348 (d) 2\/3 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 2*n + 3. Let y = 6 - 4. What are the prime factors of z(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j + 4. Let w(i) = -3505*i + 3518*i + 2 + 14. Calculate 9*c(q) - 2*w(q).\nAnswer: q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3)*h)\/h*(h\/((h\/h**(2\/3))\/h))\/h)**(1\/15)*h**(-6)*h*h**(1\/4)*h*(h\/(h\/(h**0\/h*h)))**(-1\/7) assuming h is positive.\nAnswer: h**(-659\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -3*s**2\/2 + s - 112. What is r(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-138) - ((-136)\/(-23) + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1025*k**2 - 1153*k**2 + 2354*k**2.\nAnswer: 176*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 975*g + 216433. Calculate m(-222).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 3, -23, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - k - 3*k = -4, -1 = c - k. Suppose -5*m + 2*r + 102 = c, -5*m + 6*r = 2*r - 104. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26685361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/6 + 1561*a**2\/3 + 9329*a\/6 - 43666\/3.\nAnswer: (a - 4)*(a + 7)*(a + 3119)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 215*16\/440 + -8. Which is the second biggest value? (a) 0.5 (b) y (c) 2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*r + 1215 = 475 - 1438. Solve 0 = -5*b + b - 5*g + 2, 4*b - 3*g = r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 9.6. Put -1\/3, k, 6 in decreasing order.\nAnswer: 6, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/1437610 and -47\/2300176.\nAnswer: 11500880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = 2*l - 4*c, -341 = 3*l + 4*c - 967. Suppose -1800 = l*y - 208*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -136 - (3 - (1 - 0)). Let v = 177 + u. Is 29 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.2 + 10. Let t = z - 0.1. Which is the nearest to -0.1? (a) t (b) -4\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/143175 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*t - 61*t = 20*t + 910 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**5 - 3*i**4 + 5*i**3 + i**2 - 6*i + 6. Let x(f) = f**4 - f - 1. Let y(d) = c(d) + 2*x(d). Factor y(m).\nAnswer: -(m - 1)**3*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 - 5068*y - 70854.\nAnswer: -(y + 14)*(y + 10122)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(75))*4 + (sqrt(75) + 0 + 5)**2 - (3 + (-1 + sqrt(432) + 2)**2 + sqrt(432)).\nAnswer: -332 + 34*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 + 56.9. Let a = 1 - 1.2. Let l = -7 - -7.1. What is the closest to a in -2\/7, v, l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k = 7*k - 42940. What are the prime factors of k?\nAnswer: 5, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 4*x - 5*x)*(6 + 0 - 2)*(0 + 1 + 1)*(3*x**4 - x**4 + 0*x**4).\nAnswer: -32*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 r, and 1 o when three letters picked without replacement from pogroprogppopggppg?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -13*i**2 - 62*i + 163. Let s = -3 + -5. Does 13 divide l(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**3 + 5*d - 3*d**2 - 3*d**3 - 9*d + d**3. Let j be b(3). Solve 0 = -3*k - j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1321 - 50?\nAnswer: -1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 179 + -111. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -1203522?\nAnswer: 1203520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*b - b + 2*k, 0 = 4*k - 16. Let s(q) = -q + 10 - 3 + 0*q. Let o be s(b). What is the biggest value in -1\/3, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2082*z**3 - 4*z**2 + 265*z - 1. Let c(j) = 2083*j**3 + 6*j**2 - 270*j + 2. Let o(q) = 2*c(q) + 3*y(q). What is the second derivative of o(s) wrt s?\nAnswer: -12480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/17 + 158*y\/17 - 456\/17 = 0. What is y?\nAnswer: 3, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52679776 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f*s**3 - 2*f*s - 5*f + 22*s**3 + 2 wrt s?\nAnswer: 3*f*s**2 - 2*f + 66*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2*x - 8 = 0, 2*x - 1 = 5*b - 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - g + 5*g = 110, 3*u - 296 = 5*g. Let l = u - 99. Let t(v) = -1 + 2*v**l - 7*v**3 + v**3 + 2*v**2. Determine t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 460 = -2*j, w + 35 = j - 64. Let v = w - -97. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - -5ed?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 214 = c - 192, 4*z + 4*c - 8 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1070384, 1070382, 1070372, 1070348, 1070304, 1070234?\nAnswer: 1070132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/125168 and 123\/1251680.\nAnswer: 1251680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (9 - 3) - (-30 + 29)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -149, -199, -293, -437, -637, -899, -1229, -1633?\n\"Answer: -w**3 - 16*w**2 + 5*w - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/246605 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 16*h + 15 + 17*h - 41*h + 11*h + (2 + 1 - 2)*(h - 3*h + h) to d*h + u and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 39014419.5 microseconds?\nAnswer: 0.00006450796875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5 + 1. Find the third derivative of 2*h**u + 6*h**3 + 0*h + 5*h**2 + 0*h wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + 3*j - 14238934506 + 14238934506 - 3*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -772, -618, -362, -4, 456, 1018?\n\"Answer: 51*g**2 + g - 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 8:05 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2914 is divided by 594?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11253151 (base 6) in base 11?\nAnswer: -219511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 35, 0, -2\/7 in descending order.\nAnswer: 35, 0, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1560 and 118622400?\nAnswer: 118622400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-6)\/14 - (-3256)\/(-14). Let v = -155 - t. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 2*h**2 - 3*h - 3. Let v be o(-2). Suppose 2*b + 3*j = -42799988, 85599980 = -4*b - 2*j - v*j. Round b to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.027, 5, 2\/13, -1\/7 in descending order.\nAnswer: 5, 2\/13, 0.027, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -6. Suppose 75 = 5*h - 5*c, -2*c + 6 = h - 0*c. Suppose 0 = -4*a + h, 3*o + o = 2*a + 2. What is the closest to 0.1 in r, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z + 4. Let a be u(-2). Suppose 0 = 3*f + 3*m, 6 = -3*f + 4*f + 4*m. Let o = 4 - 0. Sort o, a, f.\nAnswer: f, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and 28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5 = c. Let s = -86 - -95. Find the second derivative of 9*k - s*k**c - 7*k**5 + 27*k**5 wrt k.\nAnswer: 220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -6. Let l = -6 - u. Calculate the common denominator of 42\/55 + l\/(-5) and 21\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from zzzaaazazaazz?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2041856 by 4.\nAnswer: -510464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 47\/4 (b) -0.7 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/(-6)*(-81)\/(-90)*-2. Let w(j) be the first derivative of 5\/2*j**2 + 0*j**4 - 9\/5*j**5 + 0*j + 0*j**3 + c. Find the second derivative of w(d) wrt d.\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 - 4*d**2 + d**2)*(-752 + 452 + 2513).\nAnswer: -6639*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -6*z + 372. Let h = -357\/5 + z. Let m = -4.8 - 0.2. What is the closest to -1\/4 in 2, h, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 38*g**2 - 24*g - 53. Let z be c(39). What is the third biggest value in 5, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4 + 3 - 6*t + 2*t. Let z = -15 - -4. Is 17 a factor of q(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -202043.14 to the nearest 1000.\nAnswer: -202000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-40)\/(-12))\/(2\/(-3)). Let q be (-3)\/((10\/(-24))\/d). What is the tens digit of 2\/6 - 420\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2418962989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 28 = 7. Let a be h\/(-2) - 2\/4. Let s be a\/(-22) + 16\/(-88). Solve s = -5*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 210, 0 in descending order.\nAnswer: 210, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6441870 is divided by 4895.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 s, and 2 m when four letters picked without replacement from mjmjjjmnsmj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5754191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 1200*y + 152*y**3 - 1274*y - 2*y**2.\nAnswer: 152*y**3 - 74*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*n - 14, 11*n - 33 = 4*i + 6*n. Calculate the common denominator of -21\/8 and 1\/6*2\/i*-46.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 + 115?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 9 = 14*l. Let v be (-4)\/(-6)*(3153 + l). What is v rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19572754039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 215692\nAnswer: 215692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 19 = 2*y, -3*v - 33 = -4*y + y. Calculate the least common multiple of y and (-9)\/3*(-11)\/3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 22*q + 60 = 0. Let k = q + 51. Calculate the remainder when 58 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1441 + 966. Let p = 506 + d. Which is the closest to 1? (a) -1\/4 (b) -3\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16151405 is divided by 3230279.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 73\/(-10) + 54\/180. Let u(n) = -n**3 - 9*n**2 - 17*n - 22. Let w be u(t). Sort 0, w, 1, -4 in increasing order.\nAnswer: -4, w, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118660 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -4)\/(8\/(4592\/(-21))). Let a = l - -7. Calculate the remainder when a is divided by 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = -z - 4*u + 15, 3*z = 3*u - 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/3*(-6)\/(-24). Sort -2, j, -8 in increasing order.\nAnswer: -8, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-49 + -43 + 43).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7366538231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45256814 is divided by 2042.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -655 - 1638 = 152*l + 3787 for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/32377, 100, -0.068, 3 in decreasing order.\nAnswer: 100, 3, 2\/32377, -0.068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -130\/1413 - 3\/157. Let r(s) = s**3 - 6*s**2 - 9*s + 8. Let m be r(7). Sort -2\/19, h, m in decreasing order.\nAnswer: -2\/19, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405*z + 401*z - 92 = -q, 0 = 4*z + 8. Let j(d) = -d**3 + 6*d**2 + 3*d - 1. Calculate the remainder when q is divided by j(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 18*m + 1. Let p(d) = -d - 170. Give z(p(i)).\nAnswer: -18*i - 3059","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i**(1\/6)\/i))\/(i\/i**(-2\/7))*(i\/(i\/(i\/(i*i**(-3\/7)))))\/i**(1\/8))\/(i**(-3\/8)*(i**(-1\/7)\/i)\/i)**(-23) assuming i is positive.\nAnswer: i**(-4961\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, -2\/17, 1\/5, -7\/25, 0, -11\/75?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 - i**3 + 2*i**3 + i + 0*i**3. Determine h(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 0 + (-20142)\/72. Let c = p - -275. What is the common denominator of c and -22\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 540*r - 15 - 537*r.\nAnswer: 3*r - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5687906, -5687901, -5687896, -5687891, -5687886, -5687881?\nAnswer: -5687876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*i**3 + 81*i**3 + 325*i**3 - 79*i**3.\nAnswer: 415*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/22 + (-352)\/(-121). What is the hundreds digit of (15\/t + -3)*85?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -173*s**5\/20 - s**3\/6 - s**2\/2 + 120*s. List the prime factors of b(-1).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = g - 0*n - 10, -2*g - 16 = -5*n. Let s(v) = 25*v + 21*v + 3 - g - 6*v. Let r be s(1). Round r to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 5:10 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6))\/((-2)\/(12\/3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74.166 less than 141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*k - 94*k = 3*j - 29, 0 = 3*k + 2*j - 19 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 225530570 - 57897409. Suppose -3*l = 4*r + o + 437166830, 4*l = 4*r + 604800012. Round r to the nearest one million.\nAnswer: -151000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.78 + -2.779999116. What is s rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1022 divided by 6\nAnswer: 511\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**4 + 932*w - 2116*w + 294*w**3 + 1004*w wrt w.\nAnswer: -12*w**2 + 1764*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 676 + 2129 = 17*c. Let z = 931 - 881. Calculate the remainder when c is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0468 + 0.0468. Sort m, -4, -0.076 in increasing order.\nAnswer: -4, -0.076, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9\/l*l)**(13\/2) assuming l is positive.\nAnswer: l**(117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**4 - 14 + 7*x**2 - 10*x**2 + 7 to d*x**4 + g*x**2 + b*x + r*x**3 + f and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 127*m - 136*m + 1800. Calculate the greatest common factor of 150 and m.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/3 - 58849660*p\/3 - 865820620528900\/3 = 0. Calculate p.\nAnswer: -29424830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 35*c**4\/6 + 85*c**3\/6 - 85*c**2\/2 - 72*c - 2. Let n(w) = -5*w**2 - 6*w + 6. Calculate -6*b(v) - 85*n(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 338 (base 10) to base 3\nAnswer: 110112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -13*x**5\/60 - 40*x**2 + 1. Let f(h) = 13*h. Calculate f(o(l)).\nAnswer: -169*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (2 - -9)*4. Let k be d\/60 + 4\/10. What is the nearest to 1\/3 in -3, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1588?\nAnswer: -1\/1588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/3*(-48)\/(-32). Let j(t) = 9*t**2 - 23. Is j(n) 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 {d: 1, p: 4, y: 1, m: 2, j: 2}. Give prob of sequence jp.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 58*d**2 - 533*d + 1524. Give b(-10).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 + 3*y**5 - 3*y**5 + (2002*y**2 + 24*y**4 - 2*y**5 - 2002*y**2)*(0 + 0 + 1).\nAnswer: -y**5 + 24*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12411430 - 4?\nAnswer: 12411421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i - 4. Give f(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3181 + 1871. Round l to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29243, -58485, -87727?\nAnswer: -116969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/132 and -34.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*c - 6*c - 146, 0 = -3*a + 6. Calculate the least common multiple of 20 and ((-2)\/4)\/(3\/c).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2.08. Let m = 0.42 - k. What is the nearest to 3 in -1\/3, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tltl when four letters picked without replacement from nntntnlntltlnn?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-34)*(n*n**(3\/23))\/n*n)\/(n**(3\/23)\/(n**20\/n)))**44 assuming n is positive.\nAnswer: n**(-616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 3\/2*q**3 + 11*q + 3\/4*q**4 + 3\/2*q**2 + 3\/20*q**5 + 0. Let l(w) = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 + 1 + 1 + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1, -1.528, -3, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**3 + 69*u**2 - 20*u - 235. Determine p(-35).\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*m**2 + 2 - 11*m**2 + 29*m**2 + 2*m to o*m + p + g*m**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.8739 bigger than 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 974 or 573?\nAnswer: 974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 38*l**2 - l + 23. Let h be s(19). Suppose -2*q - 174 = j, -h*q = j + 4*j + 888. What is j rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*i + 4. Let p = 420 + -417. Suppose -i*q + 2 = -p*q. Which is bigger: -2\/23 or q?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykkyyyk. What is prob of sequence ykk?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 334.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23620423.679998775 + -23620424. Let z = 0.48 - 0.8. Let g = h - z. Round g to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 5. What is the greatest common factor of 132 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.45 - 0.85. Let u = -8 + z. Which is the third biggest value? (a) 0.7 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 109*g - 702 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 82.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*h**2 + 43*h**2 + 3*h**3 + 21*h**2.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*u - 54, 2*i + 24 = 3*u - 2*i. What is the greatest common factor of u and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 204 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -179167 bigger than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - 1 + 1)*(0*x + x - 3*x)*(-14*x + 3 + 49*x - 2).\nAnswer: -140*x**5 - 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 7 + 2)*(-3 - 1 + 0)*(14 - 14 + 28*o)*(1 + 1 - 3) + (2*o + 3*o - 7*o)*(3 + 0 - 1) to the form v + w*o and give w.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x**2. Let b = -799 - -810. Let a(o) = o**2. Give b*a(p) - 2*k(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 12*s**2 - 24*s + 8. Let b be -9 + 2 - (7 + -2). Let m be p(b). Let h = m - 107. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-223)\/(-15) + 10\/75. Is d greater than or equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -165 - -164.404. Round v to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3\/2, 2\/77, -0.5 in decreasing order.\nAnswer: 3\/2, 2\/77, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2686 from 82.\nAnswer: -2604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 777584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5*sqrt(50) - sqrt(50)) + -1 + 6*(sqrt(2) + -1 + sqrt(2)))**2.\nAnswer: 252*sqrt(2) + 697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -21, -0.4, 2, 11786?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 296.8 - 265. Let a = 32 - h. Sort 1, a, -5 in increasing order.\nAnswer: -5, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = p - 17, 2*m + 5*p - 63 + 70 = 0. Suppose -5*n = -2*n - 30. Suppose -n = -d - 3. Solve -3*k - o - d = 0, 1 + 7 = m*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - z**2 - 5. Let x be c(-4). Suppose 49 = 4*r - 3*p, 3*r - 3*p - x = -2*p. Calculate the lowest common multiple of 4 and (7\/1)\/(8\/r).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 23*d**3 - 144*d**2 - 335*d - 108. Give c(-2).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1039191 by 2.\nAnswer: -1039191\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34, -103, -212, -361, -550, -779, -1048?\n\"Answer: -20*y**2 - 9*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37152407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v = 50. Let g(p) = -p**2 + 8*p - 3. Calculate the least common multiple of g(7) and (90\/v)\/((-2)\/(-10)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227719, -227476, -227233, -226990?\nAnswer: -226747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200112022 + 1012?\nAnswer: -200111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1267027559290097\/7886932830 - 452\/62594705. Let b = -160648 + m. What is the common denominator of 107\/12 and b?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -ce8?\nAnswer: -ce8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 222431?\nAnswer: 223000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.01, -1, 3.6?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 851328258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*a**2 - 2)*(-596*a**2 + 709*a**2 + 0 + 2).\nAnswer: -339*a**4 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 24*a**3 - 24*a**2 - 4*a + 12. Let l(d) = -25*d**3 + 23*d**2 + 4*d - 12. Let t(v) = 4*l(v) + 5*s(v). Factor t(g).\nAnswer: 4*(g - 1)**2*(5*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 7, 2, -7, -20?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/20767 + 9988947\/103835. Let p = -96 + l. Let y = 8 + -13. Which is the smallest value? (a) p (b) -2 (c) y (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 9. Let n(x) = x**2 - x - 2. Let m(c) = -c**2 + c + 3. Let a be m(0). What is the remainder when n(a) is divided by l(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2670765*r**4 + 2683727*r wrt r?\nAnswer: 32049180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 6*q + 12*q - 5*q. Let a = -13 + 15. Let s(l) = -11*l + 2 + 7*l - a. Give s(p(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 33 = 441*m - 442*m - 3*i, -4*m + 3*i = 95 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - x**2 + 5. Determine t(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-301)\/(-129)*(-480)\/(-56).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 86 = n, -82 = -a + 4*n - n. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 3*g - 6 - 20 = 0, -4*g - 8 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -5*t - 26 + 6, -t = 3*m - 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2682, 5411, 8154, 10917, 13706, 16527, 19386, 22289?\n\"Answer: h**3 + h**2 + 2719*h - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*p - 86, 7 = h - 4*p - 19. Solve -d - 4*d = -4*i + 12, 3*d = -5*i - h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*3\/(-6)*-2. Suppose -2*i = -s*i - 28. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + p + 1)*(3 + 1 - 6) + 234*p + 83*p + 247*p to f*p + v and give f.\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39480 + 8654. List the prime factors of i.\nAnswer: 2, 41, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 855616836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t - 14*t - t**2 + 32 + 5*t - t. Let g be n(-8). Solve -b + g*b + 4 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 12*a - 4*a**2 + 3*a**2 + 2*a**2 + 7*a**2 + 8. Let n(i) = 1 + 3 - 2 - 3. Let m(f) = h(f) + 4*n(f). Determine z, given that m(z) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -7b1dc6?\nAnswer: 7b1dca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(325) - (-1 + sqrt(325))*-4) + (2 + sqrt(325))*-2 - (-2*2*sqrt(325) - (sqrt(325)*-2 + -5))) + -2)**2.\nAnswer: -750*sqrt(13) + 8350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1372 + -0.8628. What is the closest to 0.1 in -2\/13, 28\/11, c?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 147, -226, -5 in descending order.\nAnswer: 147, 3, -3, -5, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7253*y = -7254*y + 5*q - 3, -q = -3*y - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 6*h**2 + 6*h - 1. Let m be o(5). What is the second derivative of -r - 3*r**2 + m*r - 3*r + 3*r wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**4 + v**4 - 2*v**4)*(-10 - 6 - 11) + (4 - 1 - 4)*(-5*v**4 + 0*v**4 + 3*v**4).\nAnswer: 29*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 17 - -4) + (19 - 8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2*v - 3*v)*(3 + 0 + 3)*(-2*v + v**2 + 2*v).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**4 + 2*p**4 + 6*p**4 + (-14*p**2 - 24 + 24)*(2*p**2 + 1 - 1) in the form h*p**4 + d + t*p**2 + k*p + s*p**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 24 = -3*w, -5*u + 2*w = -0*w - 40. What is the tens digit of (-3 + u)\/(2\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 490822211?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -27. Calculate the remainder when 18 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -24*x**5 - 22*x**2 - 2*x + 2. Let c(o) = -49*o**5 - 43*o**2 - 5*o + 5. Let d(l) = 2*c(l) - 5*r(l). What is the third derivative of d(n) wrt n?\nAnswer: 1320*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12257*c + 465.\nAnswer: -12257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*l + 175. Suppose -3*q = -6*s + 2*s - 46, 3*q = -s + l. Let a be (690\/(-9))\/((-1 + 2)\/q). Round a to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -6) + (5 - -6 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 6) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 - 160*c**4 - 651*c**3 - 818*c**2 - 328*c.\nAnswer: c*(c - 164)*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*d + 137 - 137 - 3*d + 0*d + 5*d + 7*d + 0*d - 3*d + (-2*d + 0*d + 0*d)*(1 + 1 + 0) - 3*d + 2*d + 2*d as w + j*d and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22763.\nAnswer: 13, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1611 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -194*j - 860*j + 3413*j**3 + 476*j wrt j?\nAnswer: 20478*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74821508 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/564 and -103\/264.\nAnswer: 12408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-1 - -1 - 5) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1422 * -259.\nAnswer: -368298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 2:17 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37573465 is divided by 37573455.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppdpmdddnmpmd. What is prob of picking 1 m and 2 d?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.25 and 18.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 - 23261213?\nAnswer: -23261234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*k - 45757, 62*u - 66*u = -3*k - 61010. What is the highest common factor of u and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29272, 44690, 60108, 75526, 90944, 106362?\nAnswer: 121780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2777, -5523, -8271, -11021, -13773, -16527, -19283?\n\"Answer: -b**2 - 2743*b - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*a - 104, -5*a + 116 = 5*s - 24. Let p = s - -38. Find the second derivative of h**5 + 3*h**5 - p*h + 63*h wrt h.\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 163155796 to the power of 1\/2, to the nearest integer?\nAnswer: 12773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from qoj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 26 = -3*s. Suppose 0 = 3*v - 7*v - 4*k + 116, s*k = v - 4. Solve v*y - 19*y = 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.4311l in millilitres?\nAnswer: 13431.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6))**(2\/17)*(p**(4\/5))**(1\/8) assuming p is positive.\nAnswer: p**(-103\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + 1*sqrt(200) + -3 + 2*1*sqrt(2)) + 1)**2.\nAnswer: -624*sqrt(2) + 1321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -l - 5*i, -l + 1 = 3*i + 9. Let t be (-1)\/(-1) + 2*l. Suppose 3*d - d - 38 = -3*a, -a = -t*d - 20. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2798.1 - 3014.1. Put -13, i, 0.5 in ascending order.\nAnswer: i, -13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 20 + 7 = -5*g, 0 = 3*g - 3. Suppose 0 = l + 4*z - 1 - 18, 3*l - z - 5 = 0. Differentiate r*n**l + 7*n**3 + 16 + 1 with respect to n.\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + 4. Find o, given that -4*o**3 - t*o + 4 + 8*o - 4*o**4 + 12*o**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10768794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -12*s - 62273. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 251685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77*j**3 + 952986*j**2 - 96736729*j wrt j.\nAnswer: 462*j + 1905972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 9:03 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -205 - -205.996. Let a = -20828060 + 20828060.9961123. Let u = a - b. What is u rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -33820*l - 1285163. What is f(-38)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -23.54294\nAnswer: 24.54294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 191\/5. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 614?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 12107 + 1275 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 785 (b) -9 (c) 0.1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - r)*(91 - 32*r - 91)*(-20 + 20 + 5*r).\nAnswer: 160*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -405094*c**4 - 5*c**3 - 800*c**2 + 66*c - 3 wrt c.\nAnswer: -9722256*c - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/6)\/(6\/(-8)). Let a(d) = -125*d**2 + 34*d**2 + 32*d**2 - d + 26*d**2 + 32*d**2. Calculate a(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 31*k + 1329. Let q be h(-43). Let u(f) be the first derivative of f**2 + 16*f - 1. Let j be u(q). Solve j = 2*z + 2*n, 0 = 4*z - n - 6 - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**4\/4 - 6*c**3 - 17*c**2\/2 + 4*c + 11. Let w be h(-17). Suppose 2 = 2*t - w. Solve 5 = t*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -23*y**3 - 47*y**2 - 14*y - 12. Let n(b) = 8*b**3 + 16*b**2 + 5*b + 4. Let f(h) = 6*j(h) + 17*n(h). Is 37 a factor of f(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4.8, 3, 0.3, -0.53, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 + o**3 + o**3 + (-o**2 - 3*o**2 + 3*o**2)*(-4*o + o + 0*o))*(22*o - 238 + 238).\nAnswer: 110*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v + 19. Let s be d(-5). Let b be (-10)\/(1 - s)*-1. Suppose 0 = b*m - 122 - 148. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*u + 3*u. Let x(m) be the second derivative of 0 - 5\/6*m**3 + 5\/2*m**2 + 16*m + 1\/12*m**4. Calculate x(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auttattuuatutttt. What is prob of picking 4 u?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 854276023 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + k**2 + k + 10. Let h be y(0). Let s = h + -6. Suppose 0 = s*i - 56 + 4. Calculate the remainder when i is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 723.\nAnswer: 5061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-819)\/364*(-1)\/(-6)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 25*q + 13. Let l(s) = -6*s - 3. Calculate 2*j(c) + 9*l(c).\nAnswer: -4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 760936919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2828894 and 1252.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 8:25 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-six fifths of a micrometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*m - 826 = 170 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c. Let h(s) = s. Let w(i) = -6*h(i) + r(i). Let n(l) = -l**2 - 5*l. Let p(z) = -3*n(z) + 5*w(z). Let y(f) = -20*f**2. Calculate p(y(q)).\nAnswer: 1200*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 12*b**2 + 10*b - 13. Let l be t(-11). Let y be l\/(-5)*(5 + 5)*1. Suppose -y*r + 771 + 1 = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 5*l + 56, 8045841*p + 2*l + 25 = 8045838*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 5. Suppose 0 = -2*q - 14. Calculate w(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4)**(-1\/6)\/(h**(4\/5)\/(h\/(h**(-12)*h))) assuming h is positive.\nAnswer: h**(158\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 11:41 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 125\/15 + (-2)\/6. Suppose -5*j + 3*k - h = -2, 8 = j + 4*k. Let x be 3 + (-13 - (1 - j)). Sort 1, 0, x.\nAnswer: x, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 71754461, 71754452, 71754445, 71754446, 71754461, 71754496, 71754557?\n\"Answer: u**3 - 5*u**2 - u + 71754466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = j - 1, 74795*k + 10 = 74800*k - 2*j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 + 1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12001211111 (base 3) to base 16.\nAnswer: 185a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3*g + g)*(-g**3 + 0 + 0) - 4*g**4 + 2*g**4 + 0*g**4 - g**4 + 0*g**4 + 2*g**4 - 162*g**4 - 100*g**4 + 41*g**4 + g - g + 2*g**4.\nAnswer: -222*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -22. Find the third derivative of 4*a**2 + 5*a**3 + 5*a**2 - a**b + 7*a**3 wrt a.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 62476884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**5 - 3*z**5 - 3*z**5 + (2 - z - 2)*(5*z**2 - z**4 - 5*z**2) - 2*z**5 - 2*z**2 + 2*z**2 + 1890*z**5 + 2549*z**5 + 3784*z**5.\nAnswer: 8221*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 18. Let f be (-2)\/(-2)*-1 + -3. Let h = -38\/9 - f. Which is the nearest to -2? (a) -3 (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*l)*(1 - 2 + 2) - 64*l - 112 + 226 - 115.\nAnswer: -61*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.59137 - 0.00137. What is s rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 3 = -7*p. Let n = 21 + -64\/3. Which is the smallest value? (a) n (b) p (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suisyskyiey. Give prob of sequence si.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(9\/3))\/((-9)\/(-3))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 47*a**2 + 102*a + 3209. What are the prime factors of f(-21)?\nAnswer: 2, 17, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 11*p**2 - 4*p + 42. Calculate g(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggiuy. What is prob of sequence uy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6*l - 2*l = -30, 0 = l + 3. Let i(q) = q**3 - 7*q**2 + 8*q - 8. What is i(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n + 83. Let w be j(-9). Suppose 0 = w*t - i - 92 + 25, 0 = -t - 2*i + 46. What is the greatest common divisor of t and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -262, -263, -264?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 141, 302, 519, 786, 1097, 1446, 1827?\nAnswer: 2234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*s**3 + 19*s**3 + 2*s**2 + 30*s**3 as d*s**3 + a*s + x*s**2 + p and give d.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t - 13 = -2*c - 23*t, 2*c = -3*t + 1238 - 1185 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -871\/10340 + 9\/188. Suppose -2*n + 24 = -6*c + 4*c, 4*n - 5*c = 51. Suppose -2*l + 11*l = -n. Which is bigger: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 1. Let u(d) be the first derivative of -d**2 - 5*d - 243. What is -6*b(v) - u(v)?\nAnswer: 8*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4589357.\nAnswer: 709, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, n: 3, y: 1, p: 2}. Give prob of picking 1 p and 1 y.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 4:20 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkg when three letters picked without replacement from {g: 2, o: 4, l: 8, k: 1}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 56 = -70. Suppose 3*g = r*g - 64. Calculate the highest common divisor of 56 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 750 and 14840300.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808106201.\nAnswer: 7, 115443743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -169, -751, -1729, -3109, -4897, -7099?\n\"Answer: -t**3 - 192*t**2 + t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 6*x + 2. Let o be p(-6). Suppose o - 17 = -3*m, 3*m = 4*k + 3. Suppose 84*t = 77*t + 7. Solve -k + t = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(-15) + (-4)\/(-10). Let d(x) = -x - 3. Let y be d(0). What is the closest to l in 4, 2\/9, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*3\/(-3)*15\/(-80)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 1039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 336\/60) + -7 + 18010\/2350?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4 + 0*c + 3 + 6*c**2 - 5*c. Let v(t) = -7*t**2 + 4*t + 1. Let h(r) = -2*g(r) - 3*v(r). Calculate the lowest common multiple of h(-1) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 16*l + 169. Let y(f) = 2*f - 15. Determine r(q) - 12*y(q).\nAnswer: -8*q + 349","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -26. Suppose -o = -2*n - 0*n. Solve 4*i + 9 = 2*r - 5, -2*i + 3*r = n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78200000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -316, -18, -4\/5 in increasing order.\nAnswer: -316, -18, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 87*a**4\/4 + 637*a + 729. Find the first derivative of y(o) wrt o.\nAnswer: 261*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1127*r**2 - 232 + 233 - 1133*r**2 + 10*r to the form z*r + n*r**2 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50358767?\nAnswer: 5419, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 - 2*y**3 + 2*y**5 + (-3 + 2*y**3 + 3)*((0*y - y - y)*(y + 0*y - 3*y) + 0*y + 0*y - 2*y**2).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3)*(-5*r - 2*r + 4*r) + (r + 0*r + 0*r)*(-4 + 5 + 1) + 2*r - 2*r + r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/20)\/4 + 14\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -8 + (23 - 19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51741927 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -239 + 325. Let n = 78 - a. Which is smaller: 1\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 847906*c + 2 + 2*c**4 - 1 + 6508*c**3 - 847906*c to the form g*c + i*c**2 + o*c**4 + l*c**3 + s and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-4)\/16)\/(45\/(-72))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/3441 and 79\/30.\nAnswer: 34410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -4)*12\/(-10). Suppose -2*b = b + o. Does 6 divide 4 + (4*-1)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/5)\/3)\/((-1038)\/3460).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 17*g**2 + 34*g + 282. Give n(13).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61 and 124?\nAnswer: 7564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -69. Suppose t + 3*q - h = -t, 2*t = q + 20. Suppose 0 = 4*n - 2*a + 18, 5*a - 21 = 4*n + t. Sort n, 3, 3\/2 in decreasing order.\nAnswer: 3, 3\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from llllddlll.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1165 - 1165. Solve j = -2*y - 357 + 365 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5060 = -406881*t + 406651*t for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(-8 - -7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23440 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 103127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 41760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2687878 is divided by 1343901?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/825 and -32\/5775.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285464599 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293, -547, -779, -995, -1201, -1403, -1607?\nAnswer: -1819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/267 and -6 + (-8 - (-550)\/42).\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (49\/(-28))\/((-3)\/8376)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 34*g. Let l(v) be the second derivative of 11*v**4\/12 - 1214*v. Determine l(f(m)).\nAnswer: 12716*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2282708?\nAnswer: 2, 570677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v + 2*z + 2*z = -51, -5*z = 4*v + 21 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 22*l + 57. Let m be 3*(-3 + -6)\/l - 5. Solve m*k = 4, -2*n + 2*k = 4*k - 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89561264 a multiple of 388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1050111 * -7\nAnswer: -7350777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 0)*(-14)\/(-35). Let p = -0.7 - -4.7. Suppose 2 - 6 = 2*b. What is the biggest value in p, r, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 627748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n**2*o*p**2 - 35*n**2*p**3 + n**2*p**2 + 6*n*o*p - n + 2*o*p**4 - 3*p**5 wrt p.\nAnswer: -210*n**2 + 48*o*p - 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 5*g**3 - 3*g**3 + 4*g**3 + 2 in the form b*g**3 + x*g**2 + i*g + n and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -573500, -573513, -573526?\nAnswer: -573539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvon. What is prob of sequence vn?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1372\/(-5880)*(-8)\/(-14).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 6*k + 6. Suppose -33 = -4*u - 13. Suppose -u*v + 17 = -4*d, -v - 3*d + d + 9 = 0. What is the remainder when r(7) is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {d: 1, j: 2, n: 1, r: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082020.329 - 0.05?\nAnswer: 1082020.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2369*u - 90017. Give d(38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -143.4251 rounded to zero dps?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2 - 14*i - 81. Let s be m(-15). Suppose 0 = 6*j - 201 - s. List the prime factors of j.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 15. Let k be h(0). Let z = k + -29\/2. Is 0 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -32. Suppose m = -5*f - 4. Let h be 12\/54*-3*(f + 0). Solve h = c - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okkp when four letters picked without replacement from okfkpfpofppoffp?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 37*a + 69. Let f be t(15). Calculate the highest common factor of f and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 7*g + 5. Let k be n(-6). Let x be (k - -2)\/((-1)\/(-7)). Find the common denominator of 133\/12 and (-3)\/x + 746\/(-56).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 25352.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417*r + 1653*r - 2*r**2 + 43 - 416*r - 411*r - 409*r.\nAnswer: -2*r**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**4 + 766*u**3 - 111375*u**2 = 0?\nAnswer: -891, 0, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 0*q + 0 + 1\/12*q**4 + 0*q**3 + 2*q**2. Let t(d) = d**2 - 2*d**2 + 3*d**2. Calculate t(c(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 2:47 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 135 and 3572.\nAnswer: 482220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4765.896 days?\nAnswer: 411773414400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 8208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dcducuucwdccduddu. What is prob of picking 2 d and 2 u?\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8216806 or -0.1?\nAnswer: 8216806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 23 = 2*u, 2*f - 59 = 5*u - 2*f. Let y = u + 15. Let l = 110 - 106. What is the greatest common divisor of y and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42124*s**3 - 238542*s + 238542*s.\nAnswer: -42124*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 - 66. Suppose q = c*q - 42. What is q rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {p: 2, d: 1, b: 3, f: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 6*i**2 - 14*i + 8. Let p = -16 - -22. Let k be l(p). Calculate the highest common divisor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/62 and 181\/90?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 + -81. Suppose 13*c + m = 15*c. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153 + 2*n**2 - 153 to the form a*n**2 + m + w*n and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**5\/20 + a**4\/6 - a**3\/6 - 485*a**2. Let d(v) = -3*v**2 - 5*v + 2. Give 2*d(o) + 3*r(o).\nAnswer: 3*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 6*t - 6. Let h be q(-4). Suppose -4*g = -h*d + 6*d + 8, -d - 1 = 0. Let s be g\/3 + (-10)\/(-3). What is the highest common divisor of 9 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -12\/35*h**5 - 4\/7*h**2 - 1\/21*h**6 + 0*h - 7 - 13\/14*h**4 - 8\/7*h**3. Factor m(s).\nAnswer: -2*s*(s + 1)**2*(s + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(3 + -10)\/(-14). Solve 10*p = 5*p - t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = x - 10. Calculate the least common multiple of (-2)\/(-5) + x*(-616)\/105 and (-1)\/(-2) - 69\/(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 841 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 - 95 = -y + 2*g, 5*y + g + 245 = 0 for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y**2 - 11*y + 6. Let m be z(4). Let t = m + 118. Is 3\/28 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 40099043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/144 or 0?\nAnswer: 17\/144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-3))\/(11\/(-396)). Let l = 1082\/9 + r. Solve 16\/9*i - l*i**5 + 10\/9*i**4 - 14\/9*i**3 - 8\/9 - 2\/9*i**2 = 0 for i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 9) to base 6\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-1059)*(-2868)\/(-5). Let m = 6\/353 - d. Find the common denominator of (-2)\/9 - 888\/135 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, 0.003, 3\/2, 0.0206 in decreasing order.\nAnswer: 3\/2, 5\/6, 0.0206, 0.003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 7*u - 3*u)*(-2 - 3*u + 2).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445 divided by -6?\nAnswer: -1445\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21458789*z**4 + 1300*z**2 + 437*z wrt z.\nAnswer: -515010936*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 3*t**3 + 42*t**2 - 72*t.\nAnswer: -3*t*(t - 3)*(t - 2)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 1, z: 3, j: 4, k: 2}. What is prob of sequence jj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 406211 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -270, -544, -808, -1056, -1282, -1480, -1644?\n\"Answer: s**3 - s**2 - 278*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 12 = -9*g - 2*t, -t = g. Let j = 40 - g. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*u + 1503*u + 706*u + 336*u + 2757*u.\nAnswer: 5688*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 + 2*a**3 - 6*a**3)*(-4*a + 4*a - a) - 38*a**4 - 9612*a + 9612*a + (-5 + 3 + 0)*(a**4 - a**4 + a**4) + 2*a**4 - 5*a**4 + 2*a**4.\nAnswer: -40*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/2 - 4\/(-2). Let o(d) be the third derivative of d**4\/24 - 219*d**2. Let q(z) = -4*z - 1. Let x(a) = k*o(a) - 6*q(a). Differentiate x(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -289 + 300. Suppose 4*j = p - v, -2*p = -4*p - 3*j. Let l(w) = -2*w**2 + 6*w - 7. Give l(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 minus -34151.98?\nAnswer: 34151.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4700 or -4718?\nAnswer: -4718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 - 3*b**2 + 3*b**2 + (-b**3 + 4*b**3 - 2*b**3)*(-b**2 + 0*b**2 + 2*b**2) + 6*b**5 + 40*b**5 - 9*b**5 + 2*b - b**2 + b**2 - 4*b**5.\nAnswer: 36*b**5 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((4*(sqrt(7) + -2))**2*-1 - ((sqrt(343) + -1)**2 + ((sqrt(7) + 1)*-5)**2)).\nAnswer: -112*sqrt(7) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.45027 rounded to 1 dp?\nAnswer: 25.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 82\/287 - 3\/((-42)\/52). Let p(r) = -r**2 + 3*r - 1. Give p(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 401 or 975.2?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 3:40 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -15. Let v(f) = -f + 2. Let s be v(n). Suppose -10*r + s*r - 3240 = 0. Is r a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 400*n**5\/3 + n**4\/24 - 2*n**3\/3 + 4*n**2. Let i = 3 + 1. Let b be g(i). What is b rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30291 and 33890361?\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -223, -530, -847, -1174, -1511?\n\"Answer: -5*a**2 - 292*a + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x**2 - 157*x - 68. Give c(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 10*i - 4046 = 0. Let v be (-102)\/i + 230\/14. Solve 13 = 4*n - 5*m + 1, -2*n = -5*m - v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 696225589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.433 + 0.4098. Let q = h - -0.1232. What is the biggest value in 2\/5, 0, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -135917.65 and 0.45?\nAnswer: 135918.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2 = 6. Suppose -b*p - 7*j = -3*j - 112, -3*p + 174 = 3*j. Let q(m) = -5*m. Let a be q(-3). What is the highest common factor of p and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.841 to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 76.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 9*a**2 + 7*a + 6. Let w be d(-8). Let f(n) = -2*n**3 + 28*n**2 + 3*n - 33. Let r be f(w). Solve 5*g - r = 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 20 = 0, 5*d = -i - 4*i - 25. Let x(f) be the third derivative of 0 + 1\/6*f**3 - f**2 + d*f**5 + 0*f + 0*f**4 - 11\/120*f**6. What is x(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15246, 60809, 136734, 243021?\nAnswer: 379670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -2*m**6\/195 + m**5\/130 + m**4\/78 + 26*m + 18. Let v(g) be the first derivative of x(g). Factor v(q).\nAnswer: -2*q**2*(q - 1)*(2*q + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**3 - 6279*a**2 + 2852517*a - 8501121 = 0.\nAnswer: 3, 661, 1429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*sqrt(208)*-5 + 2 - (sqrt(208) + 2 + 5 - (4*sqrt(208) + 3)))**2.\nAnswer: 1952*sqrt(13) + 3095876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103828 - 103828 - 9*b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - h - 5*h)*(4 + 1 - 3 + (-3 + 0 + 1)*(0 - 2 + 0) + 1 - 3 + 1 + 0 + 0 + 2) as m + r*h and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32.1 + 31.9. What is the second biggest value in 0.5, -2\/15, m?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(4\/3))\/n*n*n*n)\/n)\/n)\/(n\/(n\/((n\/((n*(n*n**(-2\/47))\/n*n)\/n*n))\/n))) assuming n is positive.\nAnswer: n**(229\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-640)\/(-12))\/4*3\/2. Suppose 41*j = 36*j + i. Let d be (-2)\/4*(5 - j). Are d and 0.6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 7) in base 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 664317721 and -0.1.\nAnswer: 664317720.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 363040396 by -33106.\nAnswer: -10966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 - 8*a**2 + 11*a**2 - 5*a**2 + a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 21?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 - 9*z - 3. Let r be n(5). Calculate the remainder when 3 is divided by (r + -4)\/(-4 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80132428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*l + 85*l + v + 3*v + 20, -3*v + 25 = -l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-10))\/((-4)\/40). Let p be g\/20*5 + 3. Factor -38*k**3 - p*k - 2*k + 12*k**2 + 73*k**3 - 39*k**3.\nAnswer: -4*k*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4869 + -6)\/((-2)\/(-160)). What is h rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 + 190a?\nAnswer: 1930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**3 - 2*v - 5*v**3 - 20*v**3 - v**3 to q*v**2 + p*v**3 + w*v + n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110940204 is divided by 36980067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/112*((-8)\/(-6))\/(-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 6:10 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -1)*-231 - 1. Suppose -v = -5*x + 120. Suppose 5*j = -0*j + x. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwwwwwggwwwwwg. Give prob of sequence ggg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, -2\/41, -0.3, -1773?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*h + 2929 = -283*h + 228*h for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*s + 142*s = -144*s - 130 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12)*-3*24\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.4. Let y = -35 + 36. Which is the nearest to 2? (a) y (b) 0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65584 or -65546?\nAnswer: -65546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2)**(-20\/7))**49\/(u*(u**0*u)\/u*u*u**(-1\/5)*u\/(u\/u**(2\/3))*u**(-5)) assuming u is positive.\nAnswer: u**(-4162\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403*j**2 + 7*j**3 - 403*j**2.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 120 + 1144 = 0. List the prime factors of u.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.097 and 98?\nAnswer: -9.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3896, 3903, 3928, 3977, 4056, 4171, 4328, 4533?\nAnswer: 4792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -6506.\nAnswer: 1\/6506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - 8\/(-3) - (-55)\/(-15). Let m(a) = 0*a - 10*a - 6*a. Calculate the remainder when m(b) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1866919 to the nearest integer?\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 2437029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 2, m: 1, l: 1, q: 1, p: 1}. Give prob of sequence pn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**2 - 444*k**3 + 9*k + 207*k**3 + 8*k**2 - 10*k as n + v*k**2 + s*k + u*k**3 and give u.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 15*d**2 + 4*d - 6. Let u be g(15). Does 49 divide ((-588)\/(-36))\/(2\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o + 4*o)*(2 - 8*o - o + 2*o) - 1 + o**2 + 1 + (6*o - o - 3*o)*(2*o - 2 + 2).\nAnswer: -30*o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53866 is divided by 26203.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**13*w**5\/(w*w\/(w**(1\/2)*w)))\/(w**(-2\/9)\/(w**1\/w))**24 assuming w is positive.\nAnswer: w**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1090\/3? (a) -0.1 (b) 0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 2, x: 1}. What is prob of picking 1 x, 1 u, and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olmlmmxmmmommmmm. Give prob of picking 3 l and 1 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 23. Let w = o - -37. Suppose 3*v = 5*v - w. Let r(t) = -6*t**3 - 7*t**2 + 4*t. Let p(g) = 7*g**3 + 8*g**2 - 5*g. Give v*r(u) + 5*p(u).\nAnswer: -u**3 - 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Let s = 0.7 + -3.7. Which is the nearest to s? (a) p (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/331 or -1?\nAnswer: 15\/331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/23)*r)\/r)**(2\/17) assuming r is positive.\nAnswer: r**(-4\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10697 (b) 6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 6*w + 1. Let q be l(7). Suppose -q*m = -5*m. Solve 3*v - 7*v = m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13103212200 + 203?\nAnswer: -13103211331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 14*a = -25*a + 691 + 1589 for a.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48019.68797 + 48020. Let p = -0.314 + l. Round p to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.34 + -2.34. Which is the nearest to -0.1? (a) -1\/4 (b) j (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 14*k + 34. Let w be c(6). Suppose -5*i + 3*i + w = 0. Calculate the remainder when i is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -77, -118, -157, -194, -229?\n\"Answer: f**2 - 44*f - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20900\/342)\/11*(6 - -3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (628 - 131 - 172)*(1 + 2*k - 1)*(0 - 67 - 92)*(-2 - 3 + 3).\nAnswer: 206700*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32.7 + 33. Put q, 0, 13 in descending order.\nAnswer: 13, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 + 73 + (2 + (0 - 2) - 23)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 + 1308*d + 19629\/5.\nAnswer: -(d - 6543)*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 171214890 to the power of 1\/3, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1042\/2321533 or 1?\nAnswer: -1042\/2321533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37155526?\nAnswer: 2, 19, 43, 22739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*((-6)\/12 - (-6)\/4). What is the third derivative of 731 - 108*l**5 + 36*l**y - 731 wrt l?\nAnswer: -6480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1036, -1012, -974, -916, -832, -716, -562, -364?\n\"Answer: a**3 + a**2 + 14*a - 1052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -33*(5\/(-3) + -1 + 3). Suppose 4*n + n = -90. Let o = d - n. What is the greatest common factor of o and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 5*y**2 + 2*y - 6. Is 4 a factor of l(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48 + 52)*(42\/(-12))\/(-7). Solve 4 = -3*r + s*c, -4*r - 32 = -38*c + 42*c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/6)\/(9\/(-12)). Suppose 2*y + 34 = 5*y + m*o, -3*y = -5*o - 20. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/75*(400 - 415).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 59143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = -1. Let t(f) = 2*f + 7. Let m(n) = -5*n - 12. Let h = 53 + -48. Let s(x) = h*t(x) + 3*m(x). Calculate s(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/42800 and -31\/651200.\nAnswer: 69678400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 10*l + 13. Let g(s) = s**2 + 14*s + 30. Calculate the remainder when k(10) is divided by g(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8500 = 52*t - 57*t. Round t to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 469.1 - 416.1. What is the smallest value in o, 4, 0.1, 4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9816)\/(-32))\/(3\/8). Let c = g + -421. Suppose 3*p + 1857 = 3*v, p - 1638 = -2*v - c. What is v rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**2 - 1. Let v be o(1). Suppose -26 = -v*w + 121. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 3*o + 7*o - 66 - 15 + 1.\nAnswer: 10*o - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 49 - 2350221*m + 2350221*m + 5*m**3 + m**2 - 31*m**3.\nAnswer: -26*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*t - t - 5*m, 2*t + m - 25 = 0. Suppose 0 = t*l - l - 88. Calculate the least common multiple of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**5 + 3*t**5 - 3*t**5)*(0 - 1 - 3) - 2*t**5 + 0*t**4 - t**3 + 0*t**4 + (t**3 - 2*t**3 + 2*t**3)*(4*t**2 + 112*t**2 + 103*t**2) + t**5 - 2*t + 2*t.\nAnswer: 210*t**5 - t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207 (base 11) to base 7.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -51 + 27 - -46.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5805075 by 11775.\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(285\/25 + -11))\/((-15)\/(-54))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - -2. What is the least common multiple of f and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2957 + -1985. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 74. Suppose 4*s + 0*u = 5*u + 19, i = 3*s - 3*u - 12. Which is the second smallest value? (a) 0.2 (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45108 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -39. Which is the nearest to -5\/4? (a) h (b) 2\/13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m - 4*m - 7 + 2*m - 2*m as u + h*m and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2462 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12514474?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2061, 4318, 6589, 8880, 11197, 13546, 15933?\n\"Answer: a**3 + a**2 + 2247*a - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*w + 1 = 0, -3*w + 2 = 11. Suppose -55 = g*p - 7*p. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*d - 22*d - 3206 - 1612 = 5*d for d.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**4 + 5*c**3\/2 + 15*c**2\/2 - 10*c + 2 = 0.\nAnswer: -2, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 165207370 rounded to the nearest 1000000?\nAnswer: 165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 14\/13, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -218*u + 177. Is z(-3) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**2 + 112506768*o - 308618514.\nAnswer: -2*o + 112506768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 346015, 346014, 346009, 346000, 345987, 345970, 345949?\n\"Answer: -2*k**2 + 5*k + 346012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*r**2*v**3 - 2*r**2*v**2 + 6*r**2 - 3*v wrt v.\nAnswer: 732*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(-5\/6)\/((t\/(t**(-3)*t))\/(t*t**(-4))))**(1\/17) assuming t is positive.\nAnswer: t**(-31\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -7*j - 90. Suppose 5*s = 8*s - j. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -15, -4, 1\/5, 2726?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 35*f + 594. Calculate the lowest common multiple of 144 and y(-15).\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 342519445 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 164\/(-574) + 37\/7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 47036?\nAnswer: 47036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 805517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*y + 5. Let u = y - -16. What is the smallest common multiple of u and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 7 + 6 = -3*u, 0 = -y + 2*u + 2. Let r(c) = 6*c + 4. Let o(b) = -b - 1. Calculate y*o(m) - r(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 9:26 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2137261 to the nearest 1000.\nAnswer: 2137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1152288)\/2592)\/(1\/(-9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7558 + -7368. What is the remainder when 378 is divided by w?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9*u**3 - 2*u**3 - 12*u**2 + 4 + 5*u**3 - 9*u + 5*u**3 + 0*u**3. Give w(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1 = 4*i - 23, -5*i = 2*r - 24. Let s be 132\/21 - i\/14. Solve -4 = s*y - 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Let d = 0.3169 + 0.1831. Let r = l - d. Which is the nearest to 0? (a) -7\/5 (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17*3.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -224323?\nAnswer: -224314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 3*c + 39 = -0*c, -1409*h - 11 = -1410*h + c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 137, 135, 131, 125, 117?\n\"Answer: -g**2 + g + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v + 1. Let r be k(-5). Let p(n) = 2*n**2 - 32*n + 57. Let l be p(14). Sort 4, r, l in increasing order.\nAnswer: r, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**4 + 2*p**4 - 5*p**4)*(7 - 2 - 2) + (p**3 - 4*p**3 + p**3)*(-p - 1 + 1) + 0*p**4 + p**4 - 2*p**4.\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -6) + -3 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5700 divided by -3\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -1d?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 10:39 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -60, -2 in increasing order.\nAnswer: -60, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5002.166 millilitres to litres.\nAnswer: 5.002166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224.998um in nanometers?\nAnswer: 1224998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) -2 (c) -29 (d) -7 (e) 16 (f) -572\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 58, 105, 172?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from {d: 2, h: 1, g: 1, b: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285840 is divided by 498.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 216569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + 3*j**2 - 4*j - 4. Let b be w(-2). Suppose b = 4*y - 5*y, -5*y = 4*n - 144. Calculate the remainder when 105 is divided by n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s + 0*s)*(-2*s - 2*s + 3*s) + 2*s**2 - 2*s**2 - s**2 - s**2 + s**2 + s**2 + (14*s + 29 - 29)*(-2*s + s - s).\nAnswer: -29*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/20*-7*44\/(-44)*(-8520)\/(-23856)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11451496.\nAnswer: 2, 7, 131, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 533*x = 531*x - 3210, -5*x + 1635 = n. What are the prime factors of n?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*u**(2\/19)*u*u)\/u)\/((u\/u**(6\/7)*u)\/u) assuming u is positive.\nAnswer: u**(394\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 10:07 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 22. Suppose 0*c - f = -2*c. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -164685*s**2*t**2 - 325*s**2*t - 18984*s**2 - 13*t**2 wrt t?\nAnswer: -329370*s**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 150248*l**3*o - l**2*o - 3*l**2 + 17042*l wrt l.\nAnswer: 901488*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 198689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1439 or -1436?\nAnswer: -1439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 2*j + 4 + 3*j - j**2 - 2*j - 3. Let u(x) = 3*x**3 + 2*x**2 + x - 4. Let q(f) = -2*h(f) - u(f). Determine q(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k**4 + 53*k**3 + 30*k**2 + 37*k - 13. Let j(t) = 2*t**4 + 13*t**3 + 8*t**2 + 9*t - 3. Let a(q) = -6*h(q) + 26*j(q). Factor a(z).\nAnswer: 4*z*(z + 1)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h - 45. Let m(q) = -3*q + 30. Let x(o) = -2*a(o) - 3*m(o). Let c(j) = 35*j**2 + 131. Determine c(x(g)).\nAnswer: 35*g**2 + 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-330)\/(-44)*2\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**5 - 15*s**4 - 20*s**3 + 80*s**2 - 80 = 0. What is s?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {n: 2, k: 1, x: 4, r: 3, p: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 2 + 2)*(13*g + 29*g + 24*g) + (g + 1 - 1)*(5*g**2 - 2*g**2 + 3*g**2).\nAnswer: 72*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 91 = 19*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 146 - l**5 - 2*l**5 - 157 + (2 - 2 - 2)*(-3*l**2 + 3*l**2 + l**5).\nAnswer: -5*l**5 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 487 - 3*w - 249 - 247. What is d(18)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 10*f**2 + 9*f - 9. Calculate k(-8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 165.088 kilometers?\nAnswer: 165088000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000032064191 rounded to seven dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8595, -8601, -8607, -8613, -8619, -8625?\n\"Answer: -6*g - 8589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4188542860 + -0.1\nAnswer: 4188542859.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/73330 and 27\/10?\nAnswer: 73330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52317 is divided by 8718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*k - 14, 4 = -k + 3*j - 2*j. Let g = 11 + k. Suppose 0 = -4*t - 3*n + 553, -g*t - 3*n + 694 = -2*n. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 + 26*l**2 - 4*l - 19. Let m(z) = -8*z**3 - 78*z**2 + 14*z + 59. What is 2*m(d) + 7*r(d)?\nAnswer: -2*d**3 + 26*d**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*f + 48*f - 6*f = 39 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 32*g**2 - 163*g - 91. Is k(-35) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*d**5 + 11*d**5 + 6*d**5 + (2*d**2 - 1 + 1)*(-4*d**3 - 2*d**3 + 4*d**3).\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from wlwwlwwowlwlw.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2632037 to the nearest integer?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 7:30 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402917459.\nAnswer: 7, 17, 79, 42859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 0*n + 0*n**4 - 2\/105*n**5 + 13*n**2 + 3 + 1\/420*n**6 + 0*n**3. Factor z(x).\nAnswer: 2*x**2*(x - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -281497, -1125849, -2533097, -4503235, -7036257, -10132157, -13790929?\n\"Answer: s**3 - 281454*s**2 + 3*s - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -731*r - 695. What is the remainder when 2337 is divided by d(-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*g + 6. Let p(u) = u - 2. Let h be p(2). Let v be h + g*(-6)\/63. Sort -1, -1\/4, v in descending order.\nAnswer: v, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -5)\/(11*(5 - 6)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = 5. Let g = 74 + -517\/7. What is the third biggest value in g, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1)*126\/35)\/(319\/(-145))\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5005012 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1\/(-1) + 730\/(40\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*z**2 + 74*z**5 + 653 - 653 wrt z.\nAnswer: 4440*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b**2 + 1. Let l be t(-1). Let p be l\/(35\/(-98)) - (-1)\/1. Is p at most 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16 + (-15 - 3374\/(-56)))\/(6\/32). What is the greatest common factor of t and 10842?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-27)*252\/(-70)*6\/(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111110 (base 2) in base 8?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**6 + 7668*k**4 - 24*k**3 - 3*k**2 + 54*k + 10011?\nAnswer: 240*k**3 + 184032*k - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -206 * -4.\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10883359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 7:43 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 15*k - 19*k - 154, 140*r - 3*k = 141*r - 46 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.98 + 4.98. What is the nearest to 0.3 in r, 2, 191?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t. Let h(o) = -1. Let x(b) = -4*b - 3. Let s(g) = -4*g - 4. Let u(k) = -4*s(k) + 5*x(k). Let w(j) = -h(j) - u(j). Determine w(c(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(637))**2.\nAnswer: -14*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4250301.2594 take away 20?\nAnswer: -4250321.2594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**3\/j)\/j)\/j)**39 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -109, -105, -101, -97?\n\"Answer: 4*a - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 16 = -4*a, -3*a - 99 = 2*q - 23. Let j = -15 - q. Calculate the remainder when j is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 727 = -182*p + 2583 + 4150 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**3\/3 + 7*j**2\/2 + 2*j + 476. Let m = 14 - 8. Give q(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13203, -13199, -13193, -13185, -13175?\n\"Answer: w**2 + w - 13205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -35 - -9*1\/(-3). Let l = -41 - q. Let f(o) = -4*o**2 + 18*o + 7. Let g be f(4). Sort 4, g, 2, l in increasing order.\nAnswer: l, 2, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**19*r**35)\/(r**28\/(r\/r**(-18))) assuming r is positive.\nAnswer: r**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 divided by 49.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2332*s - 8224*s + 705556 - 705556)*(3*s + 5 - 5)*(0*s - 2*s + 0*s).\nAnswer: 35352*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 104203 (base 7) in base 4?\nAnswer: 10131220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/27*-3)\/((-2)\/1). Which is greater: -6\/11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 125?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 425\/450*(-32)\/(-208)*26.\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-10))\/35*-10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 13*f**2. Let x(r) = 7*r**2 - 3*r - 3. Let i(m) = -6*m**2 + 2*m + 2. Let k(u) = 3*i(u) + 2*x(u). What is a(k(b))?\nAnswer: 208*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2323 + -3?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l + 14. What is y(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from qggsbsvbqsiqqbbbqgib.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:14 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -156406 - -14606. Round a to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26.2 - -28.2. What is the nearest to -1\/9 in -4, 1\/4, a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 39*m**2 + 0 - 1\/40*m**6 + 0*m**4 + 0*m + 1\/420*m**7 + 0*m**3 - 7\/120*m**5. Determine t, given that c(t) = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1964 - 3954 + 1992 - 2*c - 118*c**2 as n + v*c + g*c**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + k**2 + k + 10. Let w be 2 + 5\/(5\/(-2)). Suppose -b + w = -2. Calculate the lowest common multiple of z(0) and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u**1\/u)\/u)**(-2\/17))**19\/(((u**(-2)*u)\/(u\/u**(3\/10)))\/(((u\/u**(3\/7)*u)\/u*u)\/u*u\/(u\/u**(-3\/2)))) assuming u is positive.\nAnswer: u**(27\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 16*d = -6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1126 * 29411.\nAnswer: -33116786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/391349 and -39\/104266?\nAnswer: 1102821482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 7810?\nAnswer: -7810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*v + 3)*(-5*v + 9*v + 3*v).\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110994?\nAnswer: 2, 3, 13, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -138045*q + 105717.\nAnswer: -138045","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 6, -3*s + 38 = -3*p - 136. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 10*y + 44. Calculate the remainder when (316\/(-6))\/((-6)\/9) is divided by v(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t*t**(-2\/9))\/t*t*t*t*t**8*(t**(-2))**(-17)*(t**1*t*t)**(-14\/5)\/(t*t\/(((t**2\/t)\/t)\/t))**(-2\/155) assuming t is positive.\nAnswer: t**(52196\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5536487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 11:15 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t + 2*t)*(-4*t**2 - 2*t**2 + t**2) + (0 + 2 + 0)*((3*t**3 - t**3 - t**3)*(-5 + 2 + 5) + 2*t**3 + 0 + 0 - t**3 + 0*t**3 + 3*t**3).\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*w + 7 - 7)*(-1 + 0 - 1)*(-16 + 5 + 7) + 9 + 15*w - 15 + 5 in the form m*w + i and give m.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4401*m**2 - 932*m**2 + 10986*m**2 + (-3 + 2*m + 3)*(-2*m + 1 - 1) - 5*m**2 + 4*m**2 + 0*m**2 to the form i*m**2 + u + v*m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 12. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -632446 - -1662446. Round d to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51551 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -40*p**2 + 1239*p + 31. Give m(31).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 1008376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 206341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -699220 + 699220 - 626*o.\nAnswer: -626*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 448199647 to the nearest integer?\nAnswer: 21171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1194110045?\nAnswer: 5, 877, 272317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 80831, -3, -15 in increasing order.\nAnswer: -15, -3, 80831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*u**4 - 27*u**4 + 0*u**4)*(59*u - 65*u - 84*u).\nAnswer: 3690*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 9*t**2 + 9*t - 9. Let i(h) = -2 - 12 - h**2 - 64*h + 74*h. Let u be i(14). Let j = -62 - u. What is n(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, -3, -43?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 242?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.6 - 3.6. Which is the closest to t? (a) -0.4 (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -863313, -1726386, -2589449, -3452496, -4315521, -5178518, -6041481?\nAnswer: -6904404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2966.\nAnswer: 2, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/((4\/(-12))\/(16\/(144\/(-21)))).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13541 is divided by 137?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4 + 6*i**2 + 4*i = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0*l - l + 3*l - 5 - 5.\nAnswer: 2*l - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 1:32 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 3:16 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 4*s - 4. Let f be h(4). Let w = -0.49428 - -0.49428. Which is the smallest value? (a) w (b) -3 (c) 3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -18*g + 20. Calculate c(7).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -122*-4.19134\nAnswer: 511.34348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 - (-17 - -99) - 23.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 + 52 = 3*h. Let b be 8\/(-20) + (-5484)\/(-60)*1. Let g = b + h. Put -4, -2, 17, g in increasing order.\nAnswer: g, -4, -2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6104036 (base 8) in base 7?\nAnswer: -16444126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -112a7b0 - 3?\nAnswer: -112a7b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -337 and -659222\/1957 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 16*q - 9*q. Solve 2 = -4*k + 5*y, q - 3 = 5*y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 13*w - 36 = 0. Let r = 0.2 - 0.2. Let s = r - 1. Which is smaller: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*l = -83*l - 35. Suppose 7 = v - 2*q, -38*v + 5 = -36*v + l*q. Sort -13, v, 14, -5.\nAnswer: -13, -5, v, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**5\/60 + t**2\/2 + 1. Let s(o) be the second derivative of a(o). Let d(f) = -2*f. What is d(s(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 14705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1664.2 + -1664. What is the nearest to v in 8, -5, -0.6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 16778 = -15569. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5807, -5830, -5851, -5870, -5887?\n\"Answer: s**2 - 26*s - 5782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4076? (a) -0.5 (b) -1\/24 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - z + 2. Let t(r) = -3*r**2 + r - 4. Let a(s) = 2*t(s) + 5*y(s). Let v(d) = -d + 1. Let w(j) = -a(j) - 2*v(j). Does 10 divide w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*d - 28*d + 136. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33593, -67189, -100789, -134393, -168001, -201613?\nAnswer: -235229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y + 589 = -600. Let w(v) be the third derivative of -y*v**2 - 11\/3*v**3 + 0*v**4 - 1\/60*v**5 + 0*v + 0. Calculate w(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47.98 + -142.\nAnswer: -189.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 31*f**2 + 16*f - 438. Determine c(-30).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 - 42. Let k = 44 + w. Suppose 9*i = 12*i - k. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5211 greater than or equal to 2\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 9. Suppose 0 = -u - 29 - 6. Let w = 51 + u. Calculate the least common multiple of w and g.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13130, -26777, -40418, -54053?\nAnswer: -67682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/9 and -7732096 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 + (-66 - 45) + 49.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) + -1) - (sqrt(17) + 3*sqrt(17))*-3.\nAnswer: -4 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*v - 17 - 7, 2*d + 2 = 0. What is the highest common factor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.679 - -5058141\nAnswer: 5058143.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25111 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 145434 to the power of 1\/2, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = 0, 2*w + 4*v - 35 = -3*w. Let g = w + 1. Suppose g*u - 4*k - 840 = 0, 5*k + 0*k - 1060 = -5*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5894581, -11789164, -17683747, -23578330?\nAnswer: -29472913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162 - -179. Solve 14 = y + o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**2 - 11*h - 8. Let p be k(8). Solve -15 = -3*g - p*j, -j - 10 = -2*g - 2*j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czz when three letters picked without replacement from {z: 11, c: 9}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 319*a**2 - 238. Let x(q) = 639*q**2 - 477. Let m(i) = 5*l(i) - 2*x(i). Differentiate m(p) with respect to p.\nAnswer: 634*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(248\/(-1)*7\/(-28))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 36*c + 73*c - 13*c.\nAnswer: -c**2 + 96*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31, -75, -151, -259?\n\"Answer: -16*v**2 + 4*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 = -21. Suppose 28*g - d*g = -852. List the prime factors of g.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1478538486?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p - 13*p + 890. Let n = p - 1530. Let u = n - -1701. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80141795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19923 - -412?\nAnswer: 20335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 115098*d**2 + 1 + 3.\nAnswer: -115098*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from {i: 6, m: 7, c: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/6 and (-84)\/(-20)*(-21)\/(-18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16899885883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11619019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4 - 17*v - 7*v + 42*v - 16*v - 15. Calculate h(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-20)\/16)*((-51)\/6)\/17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -169, -662, -1475, -2596, -4013, -5714, -7687, -9920?\n\"Answer: 2*d**3 - 172*d**2 + 9*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -40080 and 0.3.\nAnswer: -40079.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 - (4 - 0\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 629967452 to the nearest integer?\nAnswer: 25099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2 + 191437104*n + 3054013732325568 = 0 for n.\nAnswer: -31906184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-1)*m**(-3\/11)*m**10*m*(m\/m**(-2\/15))\/m*m assuming m is positive.\nAnswer: m**(2287\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m - 63. Suppose k - m = -2*k. Let b = -16 + 23. Calculate the greatest common divisor of k and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zso when three letters picked without replacement from {s: 4, r: 4, c: 7, z: 2, o: 1}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1951 and 124719626?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u - 938 + 1870 + 5*u**2 - 933 + 2*u**2 + 0*u + 0*u + (-2*u + 2*u - 2*u**2)*(0 - 3 + 5) - 3*u + u**2 + 3*u as r + t*u + m*u**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + 71. Let m be u(22). Let i be (m\/528)\/(-3)*(-614920)\/90. Let n = -465\/4 + i. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/(-30) - 5\/(-30). Let n = -2\/353 + -1406\/1059. Which is the closest to -1\/3? (a) 0.1 (b) w (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 956 - 2869\/3. Sort p, 4, 2\/15, 2\/7 in decreasing order.\nAnswer: 4, 2\/7, 2\/15, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(95) - -1*sqrt(95)*-2) + 5*1*sqrt(95))\/(-6*sqrt(30)\/(sqrt(30)\/sqrt(5))))**2.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 1195773129.6196059 + -1195773073. Let v = o - -0.0025941. Let p = v - 0.0222. Round p to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 + 0 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**6\/6 + 2*i**5\/5 - i**4\/4 - 2*i**3\/3 - 80. Factor o(m).\nAnswer: m**2*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-2\/19))*b**(7\/4))\/(b**(-2\/53)\/(b**(-1\/10)\/b)) assuming b is positive.\nAnswer: b**(15971\/20140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/6)\/10)\/((-14)\/12)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 6:08 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 14. Let d be 1*39 + z\/3. What is the highest common divisor of 24 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c - 24*c + 1 + 14*c - 4. Let k be l(18). Factor -1 + 10*j**2 - 13 - 6 + 15*j**2 + k*j**3 - 20*j.\nAnswer: 5*(j - 1)*(j + 2)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 11*d**3 - 3*d**2 - 6*d + 346. Let r(z) = -4*z**3 + z**2 + 2*z - 1. Calculate j(v) + 3*r(v).\nAnswer: -v**3 + 343","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*z - 252 = -271*z + 149*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*m + 4*q, 10 = 2*m - 14*q + 16*q. Solve -5*l = -l + 2*z - 8, -m*l = 2*z - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10013 = 45*h - 10148. Let m = -52 - -82. Solve -5*u + m = -5*t, 5*t - 2*u - h = -21 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288775*o - 170560*o - 45023*o.\nAnswer: -504358*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 266822\nAnswer: 26682.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/5 - 69*y\/5 - 12276.\nAnswer: 3*(y - 155)*(y + 132)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19457 is divided by 287?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + -19. Let a = c - 38. Let p = a - -70.039. Round p to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13967 - 6995 - 7021 + v.\nAnswer: v - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 3)*(-1 + s + 1)*(4 - 4 + 1)*(-s - s - 2*s) to the form d*s + k*s**2 + m and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 - 346. Let i = l + 991. What are the prime factors of i?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and -8.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -297916, -297241, -296566?\nAnswer: -295891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 144, 5.1, -76\/21, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/1*(4\/3)\/((-2530)\/759)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/11)\/(p**1*p*p)*(p\/(p*p**(2\/17)))\/(p**(1\/4)\/p) assuming p is positive.\nAnswer: p**(-1635\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, -0.04, -5, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -238*z**3 + z**2 - z - 2. Let s be r(-1). Calculate the highest common divisor of 34 and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20844.37 grams to micrograms.\nAnswer: 20844370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 16*o - 471. What is k(-31)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*s + 34, -5*s - 4*w + 15 = -0*w. Suppose 23 = 4*l + s, 0 = 4*b + l - 84. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 + 131. Let r be 34\/(-85) + (-54)\/(-10). What is the highest common divisor of y and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**6\/180 - g**5\/120 - 17*g**3\/6 + 20*g. Let s(k) be the second derivative of j(k). What is s(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 429.66 + -429.26. Let v = -0.1 - 0.9. Which is the closest to v? (a) -2 (b) 0.03 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, m: 5}. What is prob of sequence my?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 5*a - 6. Let z(m) = m - 19. Let b be z(14). Let u be q(b). What are the prime factors of (-4)\/(-8)*u + 194?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 5:16 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -17. Suppose 3*i = -5*f + 6, -f + n*f + 2 = i. Differentiate 4 - 3 + i*p**3 + 2*p**3 wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 116 = 4*x - 8*x, 5*x = -4*b + 247. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 12, 5*v + 3*j + 2*j - 15 = 0. Which is bigger: v or 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -34. Suppose -l - 5 = -c. Suppose -r = -3*r + l. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 + (38 + -81 - -60).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1\/10, -1, 0.4, -8157, 5 in increasing order.\nAnswer: -8157, -1, -2\/7, -1\/10, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -8. Let q be 1*p\/(0 - -3). Suppose -3*u + 6*u - 30 = q. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*j - 5*g, -2*j - 2*j + 8 = -g. Let q be (1 - 6\/j) + 10. Calculate the highest common divisor of q and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, v: 8}. Give prob of picking 2 v.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -550, -819, -1082, -1339?\nAnswer: -1590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1825672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 401 + 580?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 138047.679us?\nAnswer: 0.0000002282534375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 16) to base 14.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 148292580?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100310.1493 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40377 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4a + 45c?\nAnswer: 4a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 4:17 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 19*r**2 + 18*r - 35. Let u be x(-20). Suppose -5*z - 565 = -5*m, 0 = -u*m + 2*z + 136 + 432. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 21261 and -70.\nAnswer: 21191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -19\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 3, z: 2, q: 1}. Give prob of sequence wz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 572 and 393980587.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i + 25. Let r be g(6). Suppose 6*v = 7*v + r. What is the tens digit of v + (9\/(-3) - -54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 939 - 949 = -2*w. Let m be 0\/(2\/(-1 - 1)). Suppose 3*t - 9 + 3 = m. Solve -w*r + 10 = -0*r, -r + 6 = t*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 + 132. Let y(w) = 2*w**2 - 15*w - 21. Is y(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112345 divided by 5.\nAnswer: 22469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 106470?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/502528 and 93\/32?\nAnswer: 502528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**2 + 744*p + 12060 = 0.\nAnswer: -15, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 19318 - 926. List the prime factors of j.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 15 = 4*i. Let q be (2\/i)\/((-6)\/72). Let h(p) = -p**2 + 2*p - 5. Let o be h(3). Put -1, q, o, -5 in decreasing order.\nAnswer: -1, q, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 3, 2, -2, 223 in decreasing order.\nAnswer: 223, 3, 2, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 37 - 25 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 66\/16 - 3\/24. Let v be ((-86)\/8 - 1\/o)*29. Let p = v - -536. List the prime factors of p.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v - 12. Let m be p(9). Suppose 0 = 3*h - 4*h + m. Let u = -7 + h. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2339*-745\nAnswer: -1742555","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 11746*b - 23492. What is a(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1388 rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3662 or -3663?\nAnswer: -3662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -164 - -165. Calculate the remainder when 2 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 984472*n + 0 - 984500*n.\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/6, 1\/5, -3, 25 in decreasing order.\nAnswer: 25, 0.5, 1\/5, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10b09 - -8?\nAnswer: 10b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.300455 rounded to two dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279370437 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 1205281.\nAnswer: -120528.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a - 62. Let v be y(7). Let i = 24 - v. Calculate the highest common factor of i and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110110100 (base 2) to base 7.\nAnswer: -2523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 15*x = 737 - 241 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*t**4 - 23*t**2 + 23*t**2)*(23*t - 2 - t + 0*t + 3).\nAnswer: -330*t**5 - 15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*o + 1958 + 815 = 403 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7161023 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 658101, 658099, 658097, 658095, 658093?\nAnswer: 658091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/((-3)\/(12\/(-8))). Let n(c) = -c + 209. Let v be n(0). What is the highest common divisor of x and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8685, 8696, 8715, 8742, 8777, 8820, 8871?\nAnswer: 8930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -m + 4*d, 27 = -2*m - 3*d + 49 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -56) + -24 - 19 - 70?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-1))\/(3 + -1). Let u - 1\/2*p**4 + 1\/2*p + 1\/2*p**2 - 1\/2*p**3 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 89*m - 1369. Give j(66).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -3*r - 1 + 1\/2*r**2 - 1\/3*r**3. Suppose t = -0*t. Calculate i(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 9. Let n(o) be the second derivative of o**3\/6 - 2*o**2 - 5*o. Let y(w) = -2*l(w) - 5*n(w). What are the prime factors of y(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10551.4 and 0.1.\nAnswer: -10551.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from iiijiiwjiiijjijjjiij.\nAnswer: 44\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725832.\nAnswer: 2, 3, 17, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -237 + 312. Suppose 3*z - 3*v = -15, 2*v + v + 41 = -4*z. Let t be -2*66*(k\/10 + z). Calculate the highest common factor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -1437.\nAnswer: -3\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 437. Let f = 445.00075 - t. What is f rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-152)\/360 + (-9)\/(-45)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 654 - 602. Let s be (-106)\/(-20) - 65\/l*4. What is the fourth biggest value in -5\/4, s, -2, -4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.8 - -3.8. Which is the closest to 2? (a) w (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10 + 23)\/(2\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -435 + 443. Let x(f) = -4*f**3. Let c(z) = -z**3. Calculate b*c(i) - x(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 + 34 = 20*q. Suppose y = -x + q*y + 773, 0 = -5*x - 5*y + 3745. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*i*q**2 + 55*i*q*x - 4703*i - 19*q**2 + 139143*x wrt i.\nAnswer: -16*q**2 + 55*q*x - 4703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45240603?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13182, 52755, 118716, 211065, 329802, 474927?\nAnswer: 646440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/45 and -1\/6795.\nAnswer: 6795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/2880?\nAnswer: 1\/2880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4749 + 8475. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/16*-2*-4. Let s be h\/(-7) - (-4)\/(-14). Which is the nearest to s? (a) 2 (b) -1\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 + 10*q**3 - 13*q**3 + 0*q**5 + 4*q - 2*q**5 - 4*q + (0*q + 0*q - 2*q**2)*(0 + 0 + 2*q**3) + 3*q**5 + 0*q**5 - 2*q**5.\nAnswer: -6*q**5 - 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570 plus 0.68701?\nAnswer: 1570.68701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 4:51 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - 38 - 15\/3. Let a be (30\/14 - 3) + (-72)\/112. Put 2\/5, 0.5, h, a in increasing order.\nAnswer: h, a, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/5 + (-2070)\/25. Let n = 99 + f. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - v - 3*w - 29, -2*w - 122 = -3*v. Let j = -4 + 18. Calculate the remainder when j is divided by (-5)\/(130\/(-204)) + v\/286.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*v + 30 = -512*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-14))\/(-1))\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65763*r**2 - 14*r**3 + 2*r**3 + 131941*r**2 - 66178*r**2.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u**2 + 7*u + 21. Let x(k) = k**2 + k + 1. What is i(t) - 6*x(t)?\nAnswer: 2*t**2 + t + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 4\/22*90\/20. Let d be 21\/(-35) + (-1384)\/(-715). Let m = n - d. Put -8, 2\/9, m in descending order.\nAnswer: 2\/9, m, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17348283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(704) + sqrt(11) + 1 + -4 + sqrt(11) + 5 + 2*(sqrt(11) - (2 + sqrt(176)) - ((sqrt(132) - 2*sqrt(132)) + sqrt(132))\/sqrt(12)))**2.\nAnswer: -32*sqrt(11) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 + -3 + -3)*2. Suppose -135 = -3*c + 5*h, -2*c + 6*c - 194 = k*h. Suppose 4*r - c = 2*o, 3*o = 2*r + 7*o - 10. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (5 + -12 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1428 - -1430. Let u = -16 + 39. What is the nearest to -1 in -2, g, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, -5, -82, -201, -368, -589?\nAnswer: -870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -13*f**8\/10080 + 23*f**5\/15 + f**3\/3 + 92*f**2. Let z(l) be the third derivative of x(l). Let y(m) = 2*m. Calculate z(y(o)).\nAnswer: -104*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + 3 + (-2 - -1). Let t = a + 18. Let f = 42 + 23. Calculate the greatest common factor of f and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 566465, 571898, 577341, 582800, 588281?\nAnswer: 593790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2803793838 take away 109?\nAnswer: -2803793947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-15))\/((-1)\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19e7 + -3?\nAnswer: 19e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3\/7 (b) 4\/5 (c) 3\/4 (d) 5\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.52 - -18.02. Which is the nearest to -1\/5? (a) -3 (b) -5 (c) v (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 2. Let m(q) = -2*q + 7. Let h(k) = 7*f(k) - 2*m(k). Let w(y) = y**2. Determine h(w(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/153 and 29\/144.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (207\/(-6))\/((-21)\/(-27) - 2291\/5688).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9*j**2 - 27*j + 100. What is the tens digit of k(-48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by -4.\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322 times 2?\nAnswer: 4644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 33. Let s be (1 - -18) + 1 + 3 + 0. Let w be p(s). What is the highest common factor of 52 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33847899?\nAnswer: 3, 1951, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/(-15) - -8)*-2*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbbnfzbznzbbnnbzzzbb. Give prob of picking 2 n and 1 z.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 9 + 15 = 0. Let j be 2 - (-6)\/((-6)\/(-2)). Solve -p*i = j - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*z + 69*z - 1590. Let o = z + -301. Calculate the remainder when 490 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -4*z + 3*r - 10, -2*z - 5*r + 60 = 0. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5314 and 0.45 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 2860.1.\nAnswer: 2860.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7880*m = -7860*m + 440 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3448325.\nAnswer: 5, 137933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 270\/810 - (-32)\/3. Solve -g = 4*w + s, -4 - 1 = -s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 11*w + 14. Let y be m(-6). What is the units digit of (64\/y)\/(2\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 15. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20615 and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3262 + 0.3262. Let y = 0.374 - 0.45. Which is the closest to g? (a) 0.1 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -917304094*a - 399131313?\nAnswer: -917304094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*k - 1494 + 6. Let m(j) = -57*j + 1. Let x be m(1). Let i = k - x. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.27 in 5\/28, 3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -11. Let w = -103.864 - 0.136. Let d = w - -107. Which is the closest to l? (a) 0.4 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10c8cc (base 15) in base 13?\nAnswer: 220ca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6380.93 - 6381. Which is the closest to 5? (a) g (b) -5 (c) 0 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2348933 to the nearest integer?\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 203233?\nAnswer: 203303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*x - 60, 2*x + 57 = 2*l + 5*x. Suppose 2*n = -2*v + 26, -37*n - 3*v = -36*n - 7. What is the lowest common multiple of n and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1105\/10)\/(5\/20). Suppose -6*x**3 + 48*x + 462*x**4 - 68*x**2 + 4*x**5 + 2*x**3 - h*x**4 = 0. What is x?\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 1. Let r be j(-3). Suppose 2*w - 8 = -4*n - 0*n, 2 = r*n. Suppose 0 = v - w. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4994, -19989, -44980, -79967, -124950, -179929?\nAnswer: -244904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 340 + (-3)\/(((-45)\/(-6))\/5). Suppose 100 + j = 6*w. What is the remainder when w is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (26\/8 + 9\/(-36)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/((m**(-1\/15)*m)\/m)*m*m*m\/(m\/(m*m**14\/m*m))*((m**(-1\/3)*m)\/m)\/(m*((((m\/((m\/(m\/m**2*m))\/m)*m)\/m)\/m)\/m)\/m))**(-1\/3) assuming m is positive.\nAnswer: m**(-296\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.86 + -0.14. Which is the nearest to 0.1? (a) 1 (b) -3\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42170930657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15 - (-8)\/(-4*1). Differentiate -6*s**2 - 16 + 0*s**2 + y with respect to s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5225 divided by -55\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168694489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1217 + -901076001?\nAnswer: -901077218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1 - 1 - 14*y + 6*y. Let z(l) = 2*l**2 - 325 + 325. Calculate v(z(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4629495?\nAnswer: 3, 5, 13, 23741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13179 - 13174. What is the nearest to a in -2, -5.5, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 14.876. Let s = -0.227 + w. Let u = 0.1030043 + s. Round u to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 186303?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2513730 rounded to the nearest ten thousand?\nAnswer: -2510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*n - 669, -8*m + 1122 = -3*m + n. What is the highest common factor of m and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1083 - -5.5497. Let o = -5.6 + c. What is o rounded to three dps?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1329*h - 4959. What is the units digit of s(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(40\/35) + -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 31 + 7*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*p - 142*p - 207*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 84 - 172. Suppose -30*j + 960 = -s*j. Suppose 167*g - 169*g = -j. What is g rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/(j**(1\/6)\/j))\/(j**(-1\/2))**(5\/4) assuming j is positive.\nAnswer: j**(59\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - -18) + 17 + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1) + 416\/(-96)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -413620, -827221, -1240816, -1654405, -2067988?\n\"Answer: 3*y**2 - 413610*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34.083 - 0.083. Let k = -33.99998 + x. What is k rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 60\/3461927?\nAnswer: 60\/3461927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1544646 divided by 514882\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 + 5*v + 2*v**3 + 61 - 63 to the form g*v**2 + j*v + k*v**3 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8630.9 - 8631. Let m = 0.6 - 3.6. Suppose 3*o = -q - 1, -4*o = 3*q - 0 + 3. Which is the closest to r? (a) -0.06 (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 21 = -3*v - 8*u, 0 = 4*v - 5*u + 34 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4901 and 1247.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 3*j = 88. What is the greatest common factor of 33 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by ((-2788)\/123 + 1\/3)*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(1\/4)\/i))**(-1\/2)*i**(-1)\/i**7)\/((i**(-2))**(-5)*(i**(2\/5))**(-22)) assuming i is positive.\nAnswer: i**(-403\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-63)*936\/728?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159806980 divided by 1?\nAnswer: -159806980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o**2 - 45. Let m be t(-5). Put 5, 0, m in descending order.\nAnswer: m, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 861+5166.373666\nAnswer: 6027.373666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816598247.\nAnswer: 17, 193, 248887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/366974 and 31\/2.\nAnswer: 366974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q + 14*q = 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 7*s = 25*s - 312. Let y = 4 - 1. Solve -s = -2*b - 5*t, y*b - 4 - 5 = -4*t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110002 + -12020?\nAnswer: 31322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0. Let u = o - 0. Let z = -1\/626 + -155\/939. Put u, z, -4 in ascending order.\nAnswer: -4, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/370 and -7\/68.\nAnswer: 12580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 13. Suppose -4*p - 29 = -3*n, 2*n + 3*p - 3 = -12. What is the second biggest value in h, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3364 rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/200*367 + (-139)\/3475?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-16))\/(6\/16). Put -0.4, s, 5, 3\/37 in ascending order.\nAnswer: s, -0.4, 3\/37, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -13, -51, -127, -253, -441, -703?\nAnswer: -1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(153) + sqrt(153)*1 - sqrt(153)) - (1*sqrt(153) - sqrt(153))*4)\/((-1*sqrt(27)*2)\/((sqrt(3) - sqrt(3)*1*1) + sqrt(3) + sqrt(3))))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d - 26*d - 19 = -3*c, 35*c + d + 112 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 632 divide 105243266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/(-6)*(-252)\/1890?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -592213 to the nearest 10000.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101001100101110100 + 0?\nAnswer: 111101001100101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - 30 - ((-16884)\/(-606))\/(-7).\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2. Let k(w) be the third derivative of 133*w**4\/4 - w**3\/3 + 2*w**2 + 771*w. Determine z(k(q)).\nAnswer: -1273608*q**2 + 6384*q - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from okki.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r = 2*z - 122, -3*z + 4*r + 183 = 0. Let i = -47 + z. Suppose 5*v = -4*o - i, 0 = -5*o + 2*v + v + 1. Do o and -5\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*t - 27, 5*m + 0*m - 5*t - 15 = 0. Suppose -m*q + 28 = -3*q - 4*d, 5*q + d - 41 = 0. Solve 2*j + i = q, -3*i - 14 = -j - 6*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24348*h - 1007 - 1010 + 3031 - 1014.\nAnswer: 24348*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 19364?\nAnswer: 213004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220075 (base 11) to base 14.\nAnswer: -9212a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 11:01 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-54)*(-45)\/3)\/(322\/(-28) - -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) 1\/7 (c) 6.316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -883*c + 3748 = -33*c + 87*c. Factor k**3 + 4\/5*k**2 + 2\/5*k**c + 0 + 1\/5*k.\nAnswer: k*(k + 1)**2*(2*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + 4*l**2 - 2*l - l**2. Let d(k) = -10*k**2 - 5*k - 6. Let b(f) = -18*f**2 - 10*f - 11. Let p(c) = 6*b(c) - 11*d(c). What is -7*i(s) + 3*p(s)?\nAnswer: -s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 15) to base 10.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189936663 to the nearest integer?\nAnswer: 13782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(1512\/16))\/((-2)\/6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1))**(-46))**(19\/3)*(m*m**(2\/15)*m*m\/(m*m*m\/(m\/m**(-6)))*m)**(2\/47) assuming m is positive.\nAnswer: m**(244\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 419166616 to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/(1617\/2156)*-72\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 776*w + 773*w - 2, 2*j - w = -6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0514 at least 1027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {i: 2, z: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10621109.37 take away 123.289?\nAnswer: -10621232.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-252)*8*(-3)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -282489 times -0.37\nAnswer: 104520.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 3, -2\/7, 19.1, -1, -26\/7, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 6 = 2*f, -2*k + 18 = 4*f - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -122*p**3 - 13*p - 13. Let k(l) = -61*l**3 - 6*l - 6. Let z(w) = 2*w**3 + 30*w**2 - 22*w + 154. Let v be z(-16). Give v*y(d) + 13*k(d).\nAnswer: -61*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 12:06 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8496 + 2372 = -272*b - 60*b - 240*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1101 in -3, 6.8, 0.2, 4, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113 + -5440?\nAnswer: -5553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 4 - 5*f**2 - 2 - 8*f - 2*f = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 2:49 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4012694 and 2431184.\nAnswer: 6202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 8:29 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l + 3. Let j(q) = 23*q + 17. Let w(p) = 6*j(p) - 34*r(p). Let h(i) be the third derivative of -49*i**5\/60 - 136*i**2. Give w(h(c)).\nAnswer: -98*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3454446269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w = 24. Suppose w = -4*z + 4*q, -5*z + 2*z - 2*q = -7. Is (-2)\/z - (-4191)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - u. Give i(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**3 - 4*k**2 - 2*k. Let z be j(2). Let g be ((-2)\/(-3))\/(z\/9)*6. Solve g*b - 20 = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7157, 7156, 7155, 7154, 7153, 7152?\nAnswer: 7151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 take away 1061?\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21793\/4 + 5448. Which is the third biggest value? (a) 0.5 (b) 2\/7 (c) -2 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(8*(-69)\/(-184))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2498*z - 52313. Calculate o(-21).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -377553920378.999 + -0.4.\nAnswer: -377553920379.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -350, -526, -714, -920, -1150, -1410?\nAnswer: -1706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2072\/11275 - -2\/1025. Is 1\/2 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9199.725 minutes in hours?\nAnswer: 153.32875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1215)\/sqrt(3))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(5)*-3*-6)*-3.\nAnswer: -54*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10932 or 10937?\nAnswer: 10937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-10 - (-21 + 11))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**4\/2 + 8*r**3\/3 - 4*r**2 + 14*r + 1494. What is d(5)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h + 77*h**3 - 6*h - 74*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*b - 43, 2*b + 24 = 5*z - 16. Let k be (-6 - (-3)\/(-3))*-3. Suppose 0 = 5*j + z - k. Solve -5*t = -j*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2547078 = 164*u + 2538386 for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 26*a**2 + 1\/12*a**6 + 0 + 0*a + 1\/24*a**4 + 0*a**3 - 13\/120*a**5 - 3\/140*a**7. Solve w(i) = 0.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 232\/((-20)\/(-5))*-1. Let y = -34 - i. 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: Calculate 212 + -207 + (-5 - (3 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.3145830870503 + 2811547.3845836070503. Let j = 2811536 - z. Let b = j - -0.07. Round b to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 11*b**2 + 14*b - 8. Let m(r) = 7*r**2 + 9*r - 5. Let j(d) = -8*m(d) + 5*w(d). Calculate j(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 6:10 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52474476 to the nearest integer?\nAnswer: 7244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 17*f + 79. What is the remainder when 22 is divided by t(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-3)\/(-1)))\/((-7)\/7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212645 is divided by 1162?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-3) + 1826\/1584 and 83\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -18*h - 5. Let y(l) = 53*l + 14. Suppose -4*w + 4*d + 42 = -9*w, -3*w - 5*d = 33. Give w*y(p) - 17*f(p).\nAnswer: -12*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 81*p**5\/4 - 36287*p**4\/4 - 18449*p**3\/2 + 17919*p**2\/2 + 36817*p\/4 + 449\/4 = 0. Calculate p.\nAnswer: -1, -1\/81, 1, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umuukuukuuuuuuukkumk. What is prob of picking 1 u, 2 m, and 1 k?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -20, -4*f - 17 = -3*m - 0*f. Let g be m\/4 + (-2)\/8. Which is the third smallest value? (a) 1\/3 (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 576512 and 2664116?\nAnswer: 2252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 51 = 4*n. Let h = 13 + n. Suppose h*i - 583 = 2*t, -3*i + 3*t = -0*t - 348. What is the highest common divisor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -132, -79, 6, 129, 296, 513, 786?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 126 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 25*i + 11*i. Solve 0 = i*o + 3*k + 14 + 12, -4*o = 5*k + 26 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1995, 2\/7, -69?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2142 and 11\/14518?\nAnswer: 130662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5148 divided by -26\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*q + (1 - 1 + 2*q)*(4 - 3 + 1) + 4*q - 5*q + 0*q + q + 0 + 0 + (0*q + q + q)*(-2 + 0 + 0) + 2*q - q - 2*q + (165 + 75 - 78)*(1 + 2*q - 1).\nAnswer: 325*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3\/4*j + 1\/4*j**4 + 3\/4*j**3 + 1 - 5\/4*j**2 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.07 - -0.07. Which is smaller: 3\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {i: 6, h: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k**2 - 1216*k + 5*k**2 + k**2 + 348*k - 442*k to m*k**2 + n*k + p and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.73, -3\/4, -9\/20 in descending order.\nAnswer: 0.73, -9\/20, -3\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5149 + 5156. Solve -x*d = -3*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/10, -118, 20, -0.202, 5, 0 in descending order.\nAnswer: 20, 5, 0, -0.202, -3\/10, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6244 - 160*u**2 - 6244)*(4*u**2 - 5*u**2 - u**2) to i*u**2 + n*u**3 + s + x*u**4 + c*u and give x.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*l - 12*l + 136 = -33*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2220 (base 4) to base 9\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22856, 47521, 72186?\nAnswer: 96851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 10. Let b = j + -3. Suppose -w = b*w. Solve w = -8*a + 4*a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 9*m + 5*m + 4*m + 7*m**3 + 7*m**3 - 16*m**3.\nAnswer: -2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -249509.2 - -249509. Let d = 2 + -5. What is the nearest to -1 in d, w, -2\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 0, -65743 in ascending order.\nAnswer: -65743, -25, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2096208.\nAnswer: 2, 3, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a = -28*a + 200. What is the highest common divisor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 252 + -1973364?\nAnswer: -1973112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.3, 2\/9, 3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 + 13*f**2 - 11*f + 11. Let h(v) = v**3 - 7*v**2 + 6*v - 6. Suppose 3*t - 4*j = 25, 0 = 8*t - 11*t + 2*j + 29. What is t*h(s) + 6*w(s)?\nAnswer: -s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 47 - 22296*s + 117650*s + 22.\nAnswer: 95354*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*l = -19, 2*b - b + 4*l - 12 = 0. Suppose -2*f + b = 2*o + 2, f - 2*o = 0. Calculate the remainder when (1 - 4 - -4)*3 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 572 + -570. Factor 41*w**2 + 22*w - 30*w**3 + 12 - 7*w**2 - 40*w**a - 14*w**4.\nAnswer: -2*(w + 1)**3*(7*w - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6431*w + 3112607. What is r(-484)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 4)*(0 + 0 + 2*v) + (-2 + 3 + 0)*(-10 + 10 - 2*v).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaawmoaoamaaaooaow. What is prob of picking 1 m, 2 a, and 1 w?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -587051 or -335?\nAnswer: -335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**4*u + 395*j**3*u**3 + 3*j**3 - j*u**3 + 1929*j - 2*u**3 wrt j?\nAnswer: 12*j**2*u + 2370*j*u**3 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 8*s**2 - 7*s - 10. Let r be 48\/120 - 48\/(-5). Let d be t(r). Calculate the highest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*(-4 + sqrt(1728)*-1) + (sqrt(3888) + -1)*1 + -5)**2.\nAnswer: 4368*sqrt(3) + 73200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*h - 0 - 3, -2*h = -b + 1. Sort -3, b, -1, 0.\nAnswer: -3, -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 40*a + 0*a**6 + 0*a**3 + 0*a**7 + 7\/12*a**4 + 5\/8*a**8 + 0 + 0*a**5 + 0*a**2. Find the third derivative of s(u) wrt u.\nAnswer: 4200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*f - 4, v + f - 8 = 0. Suppose i - 6*i = -v. Let w = 10 - i. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 + 4*g**3 + 32*g**2 - 48*g.\nAnswer: -4*g*(g - 2)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r. Let y(z) = z**3 + 0*z + r*z - 4*z**2 - 4 - 2*z + 5*z. Give y(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 605612?\nAnswer: 605612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(((f\/f**(-24))\/f)\/f)\/f*f)\/(f\/f**(-28))*(f\/f**(-6\/19)*f)**(-27) assuming f is positive.\nAnswer: f**(-1283\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21, -156, -453, -870, -1407, -2064, -2841?\n\"Answer: -60*b**2 + 3*b + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*s**3 + 67643*s - 28383738 with respect to s.\nAnswer: -234*s**2 + 67643","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7545574 to the power of 1\/2, to the nearest integer?\nAnswer: 2747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3)*(-5*o + 3*o + o + o - 2*o + 0*o + (-1 + 1 + 3*o)*(-3 + 2 + 2)) to d*o + s and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-5 - (-1)\/1). Suppose -z*a - 11 = 1. Let l = -2967 - -20767\/7. What is the closest to l in a, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/5, 1, -0.01, -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**2\/2 + 4*u + 2. Suppose -b - 4*f = -2*b + 8, 5*b + f + 23 = 0. Calculate r(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(44\/560) + -5. Let a = -145 - s. Solve -3*j + j - 4 = a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 less than -29091976.725?\nAnswer: -29091994.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 6*u**2 - 5*u + 5. Let n be p(-5). Suppose 68 = n*i - 3*i. Let f = i + -15. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(((-55)\/(-6830))\/11). Let m = 16485 - j. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jbjjbvbj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99 + -83. What is the third derivative of 38*p**2 - 6*p**4 - q*p**2 - 5*p**4 - 9*p**4 wrt p?\nAnswer: -480*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 2 + 2)*(-9 + 2 + 0)*(14*t + 16*t - 16*t).\nAnswer: -98*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38610859 and 43792.\nAnswer: 2737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -1. Let z be 13\/11 + (-4 - l). Which is the second smallest value? (a) -0.06 (b) z (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/6 - -136) + (11 - 6). What is the greatest common factor of p and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6.527877 micrometers?\nAnswer: 0.000006527877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a factor of 20070387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 620180.\nAnswer: -620180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + 17*d + 30. Give y(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 22.98. Suppose 240*y - 254*y - 28 = 0. Put -11, y, -1\/3, u in decreasing order.\nAnswer: u, -1\/3, y, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/122 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*18\/4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3323e5 - -3?\nAnswer: -3323e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.2 equal to 2\/36439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/3 + 1 + -2. What is the third derivative of -3*l**p + 4*l**2 - 2*l**4 + 6*l**4 wrt l?\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3 + 133618*c**2 - 45*c - 49168.\nAnswer: 18*c + 267236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18846 - 9437 + 22*z - 9400 - z**2)*(10*z - 2*z**2 - 10*z).\nAnswer: 2*z**4 - 44*z**3 - 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**5\/20 + 11*k**4\/12 + k**3\/6 - 7*k**2\/2 - 27*k. What is t(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/15*(-9)\/30)\/((-866)\/20784).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k - 6. Let g be r(5). Suppose 70 = s + 3*s - 3*m, -65 = -3*s - g*m. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5263919 to the nearest integer?\nAnswer: 2294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1556*o**2 + 11*o + 37. Let d be h(-3). What is d rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 3*c + 2. Let b be q(-2). Let f(l) = l**3 - 3*l**2 - l - 1. What is the remainder when 50 is divided by f(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.7 - 0.7. Let m = 5.5 - 5.4. What is the closest to m in 2\/11, 3, j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Suppose -5*w = 4*k + 10, -4*w - 3*k - 7 = -0*k. Suppose w = u*y - 58. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t + 22. Is b(7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 8:21 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4257*h - 21279. Give n(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 72*b**2 - 10*b + 11. Calculate m(1).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7154 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3500 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x + 14. Let m be r(2). Let q be 1 + 4 + -5 - (-4)\/m. Suppose -q*n = -z - 322, -2*z + 88 = n - 73. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51828.5 + -51821.500022. Let t = -1.2 - 5.8. Let j = t + f. Round j to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -9.1?\nAnswer: -1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*b + 11 = 0, -2*b = -2*q + 6*q + 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(6300)*-1*-5 - sqrt(6300) - sqrt(6300) - sqrt(6300)))\/(sqrt(9) + sqrt(9) + (sqrt(9) - sqrt(324)*-2) - (sqrt(9) + (1*sqrt(144) - sqrt(144)))).\nAnswer: -50*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 363 - 365. Let k = 83 - 87. Let o = 123 + -983\/8. Put b, o, k, 0.2 in decreasing order.\nAnswer: 0.2, o, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5938992?\nAnswer: 2, 3, 41243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6807, 13626, 20449, 27276, 34107?\n\"Answer: 2*o**2 + 6813*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -3*d. Which is the closest to 3? (a) 1 (b) 0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21, 0.3, -4\/9, -2.9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5*l = 229, 172794*i - 241 = 172790*i - 5*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 95, 63, 17?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 210000 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1151*d + 756*d + 1703*d + 2143*d.\nAnswer: 3451*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 770*l**2 - 8*l - 7 wrt l.\nAnswer: 1540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*sqrt(1900)*-1 + -5 + 0)*-6.\nAnswer: 150 + 1800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5994, 23968, 53936, 95910, 149902, 215924, 293988, 384106?\n\"Answer: 2*d**3 + 5985*d**2 + 5*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t - 270 = -11*t. Is (-4)\/(-18) - 2742\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2558*w + 1408*w + 1631*w)*(0*w**2 - w**2 - w**2) + w**3 - 2*w + 2*w + (0*w**2 + 4*w**2 - 2*w**2)*(-2*w - w + 4*w) - 2*w + 2*w + 2*w**3.\nAnswer: -957*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 1. Let i(n) = 0 + 0 - 8*n**2 - 9 + 0. Let s(k) = i(k) + 3*p(k). Differentiate s(v) with respect to v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 5 = -2*w, -a + 16*w = 14*w + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - l - 241 = 0, 2*s + 4*l = -0*l + 92. Suppose 11*y + s = 9*y. Let f = y + 31. Solve -q - f = r + q, 4*r - 4*q - 8 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 - 13*w + 14. Let n(o) = o**2 - 4*o + 5. Let j(i) = -8*n(i) + 3*s(i). Let c be j(3). Let v = 15 + c. Solve -v = -d - 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 16 + 10)*(0*b**2 - 2*b**3 + 0*b**2)*(-b - 2*b + 2*b).\nAnswer: 80*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -22*b**3\/3 - 2. Let w(l) = -6726*l**2 + 13454*l**2 - 6727*l**2. Give w(p(g)).\nAnswer: 484*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6830443, -13660890, -20491337?\nAnswer: -27321784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - y)*(-1 - 2 + 6)*(1 + 0 - 2) + (-2 - 3 + 6)*(4*y - 4*y - y))*(-421*y + 491*y**4 + 421*y).\nAnswer: 982*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2\/(-12)*-3*3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 646402 - 2?\nAnswer: 646400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040 is divided by 496?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(800) + 1*sqrt(800)*-2)*-3)\/((-2*sqrt(70)*2)\/(-5*(sqrt(7) - ((sqrt(7) - sqrt(7)*2) + sqrt(7))))))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-1015)\/(-58))\/(-7))\/(18\/8)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 - 177. Let k = r - -60. Differentiate k - 2*v**2 - v**2 + 6*v**2 - 4*v**2 with respect to v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*p - 13*q + 71, 0 = -3*p - 57*q + 54*q + 39 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000071714067 rounded to seven dps?\nAnswer: 0.0000717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 5\/13, -0.1?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 5832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -49*n - 683. Let z be g(-14). Suppose 3*u = -5*k + 56, 4*k - 1 = -u + 13. Solve 0 = -z*c + 2*o + o - 24, -4*c + 2*o = u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3 + 278967*x**2 - 3*x - 278967 = 0. What is x?\nAnswer: -92989, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 5*f**2 + 6*f + 1. Let y(l) = -6*l**3 - 94*l**2 + 6*l + 7*l**3 + 89*l**2. Let k be 1 + -9 + 2 + 1. Let g(v) = k*o(v) + 6*y(v). What is g(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/3, -20, -2, 2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 40. Let w be k(16). Suppose w = c + 3. Suppose -2*b + 121 = c*f, f - 3*b - 31 = -0*b. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -282048, -1, -3 in descending order.\nAnswer: -2\/3, -1, -3, -282048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - t**2. Let l be v(0). Suppose 4*s + l*z + 4*z = 0, -2*s + 4*z = 0. Which is smaller: s or 3\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 7:34 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 520*t**2 - 76*t**4 + 252*t**4 - 336*t**2 wrt t.\nAnswer: 4224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 > 712\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -616 - -5?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339439357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1353\/369*12\/(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 6*a = 24. What is the highest common factor of a and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*t**4 - 2*t + 5*t**2 + 2*t**3 + 2*t**3 - 71*t**4 in the form l*t**4 + x*t**2 + r + b*t + k*t**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 4*i**2 + 3*i. Let p be m(-3). Let r(o) = -o**3 + 4*o**2 + 6*o - 3. Let j be r(5). Suppose p*l - 78 = -j*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 17*h - 10. Let f(r) = 2*r**2 - 35*r + 21. Let b(z) = -4*f(z) - 9*v(z). Let d be b(7). Let a = -6 - d. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 25 = 8*p - 4*p, 4*p - 2*d = -10. Let f be ((-12)\/(-10))\/((-6)\/(-40)). Let l(a) = 0*a + f + a - 3. Calculate l(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2390, 4223, 6044, 7847, 9626?\n\"Answer: -w**3 + 1840*w + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 2\/115?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1\/7, -21\/16?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*d**2 - 133*d**2 - 80*d**2.\nAnswer: -293*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 206.7 times 0.2856\nAnswer: 59.03352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 600 and 35325?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 14 - 8 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 1\/2*q**2 + 0 - 1\/3*q + 0*q**3 - 1\/6*q**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**5 + 1476*v**4 + 8588*v**3 - 45108*v**2 - 34416*v + 156816 = 0 for v.\nAnswer: -363, -9, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*d - 8, 7*j - 12 = 3*j. Suppose 0*g - d*g = -y + 425, 3*y = -2*g + 1307. List the prime factors of y.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/3)*j)**(-2\/13) assuming j is positive.\nAnswer: j**(-16\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-8)\/80*-10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 45. Suppose j = -4*d + 5*d. Solve 3*v + 2*q + 9 = d, -4*v - 2*q = v + 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -39, -137, -285, -483?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1629*l**2 + 27 + l**3 - 71*l + 69*l - 1628*l**2 in the form q*l + c + d*l**3 + b*l**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3078482 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20264693.4 milliseconds in days?\nAnswer: 0.2345450625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -79\/5 in 0.5, -1, -0.01, -1317?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y - 3. Let v(u) = -u - 1. Let i(h) = -6*h**3 - h**2 + 2*h - 1. Let z(f) = f**2 - 3*f - 3. Let b be z(4). Let r be i(b). Determine r*v(m) + 2*n(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -0.1 (c) 1\/5 (d) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -190.2309 rounded to 1 dp?\nAnswer: -190.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 217241484 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 10 + (-1 + 0 + 0)*(2 - 4 + 4))*(7 - 5 - 6)*(-v**4 + 14*v**4 + 3*v**4).\nAnswer: -512*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.0566444 and 428608.8.\nAnswer: 428609.8566444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6201.851mg in grams?\nAnswer: 6.201851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/26 - 708\/4602.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70.45 - -87.45. Are b and 258 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -76b8ad9 - -1?\nAnswer: -76b8ad8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 6*b - 6. Let n be o(-4). What is the second derivative of -5*r**5 - 3*r**4 + r**4 + n*r**4 + 27*r + 2*r**4 + 1 wrt r?\nAnswer: -100*r**3 + 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -806190 divided by -478.\nAnswer: 403095\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 + 4*g**3 - 16*g**2.\nAnswer: 2*g**2*(g - 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 8:56 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -578, -582, -596, -626, -678, -758, -872, -1026?\nAnswer: -1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10363097 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58576 and 262552276.\nAnswer: 14644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -367\/484 + 1\/121. Let z be (1\/(4\/(-6)))\/((-2)\/4). Let c be (-8)\/(-24)*1\/z*3. Sort c, o, 2\/7 in increasing order.\nAnswer: o, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) - 245\/(-28). Let f(j) = 3*j**2 - j. Let p(z) = -2*z**2 + 5*z + 26. Let d(y) = f(y) + p(y). What are the prime factors of d(v)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**6\/120 - r**5\/12 - r**4\/12 + 3*r**3 - 149*r**2. Calculate d(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 9:34 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -106.35 - -104.35. Let v = 0.14 - -0.26. Which is the biggest value? (a) 1\/7 (b) 5 (c) g (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 16 = -2*p. Suppose 3*v + 89 = -163. Find the common denominator of 33\/4 and (4\/p)\/((-2)\/v).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153088 and 2912.\nAnswer: 1071616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 b, and 1 t when three letters picked without replacement from {t: 2, g: 1, b: 1, w: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5736*d**3 + 54*d**2*u**2 - 77503*d*u + 8*u**2 wrt d?\nAnswer: -34416*d + 108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n**(-2\/3)*n)\/n)*n*n)\/n*n*n)**(-37)\/(((n\/(n\/n**6))\/n)\/(n*n*n**2*n))*(n*n\/((n**(-5\/3)\/n)\/n)*n**(-1\/3))**(-3) assuming n is positive.\nAnswer: n**(-677\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Suppose 3*b = 2*i - 32, 3*b + 36 = z*i - b. Suppose 3*k - i = k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8131753.\nAnswer: 7, 19, 61141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 4 = 18. Solve 4*y - f*s - 12 = -0*s, -4*s = -3*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-10)*(-225)\/(-10). What is the greatest common factor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 85560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5+244169198401\nAnswer: 244169198396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -5)*7 + 5. Let d be (-1 - p)*-6*8\/(-3). Solve -c + 5*x = 2*c + 2, -3*c - d = 2*x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/14)\/(((-5)\/(-15))\/1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.179945 rounded to 4 decimal places?\nAnswer: -0.1799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -36. Let r be 261\/(-27) + (-2)\/(-3). Let o be (18\/(-15))\/(r\/30). Solve -4*v - m = o*l, -4*v + l - 2 = 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 15 = x, 3*x - 10 = 2*x - q. Suppose -7*a = -268 - 96. Let g = a + -47. Solve g*b - 20 = -x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 82. Let b be 6\/(-21) + z\/14. Suppose -5*u = b*y - 33, 3*y = 8*y - u - 27. What is the greatest common divisor of y and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 12 + 3. Suppose -19 = 6*l - 37. Let h be (b - l) + ((-68)\/(-28))\/(-1). Is h at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.4 and -3.29908.\nAnswer: 11.216872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 6599?\nAnswer: 33\/6599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6173 divided by -2\nAnswer: -6173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 1. Let f(d) = -d. Let i(t) = -6*c(t) + 5*f(t). Let q be i(-4). Let -8*y**4 + 6*y**3 + 8*y**2 - 2*y**3 - 2*y + 0*y**4 - q*y**3 = 0. Calculate y.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 4:53 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 + u**2 + 7*u - 2. Let w be q(2). Solve 0 = 4*i - w*i - 0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 20081*x. Let b(f) = -f. What is v(b(s))?\nAnswer: -20081*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(((-1)\/4)\/1). Let v = b + -5. Let x(q) = 2*q. Let d be x(v). Solve -6 = 4*y + d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.8 times 237964\nAnswer: -666299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165650912 and 6048.\nAnswer: 4472574624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416\/52*6\/16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2434159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 477*o**2*x**2 - 118*o**2*x + 70*o**2 - 1008*o*x**2 - 5*o + 2*x**2 - 1032*x + 2 wrt o?\nAnswer: 954*x**2 - 236*x + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 349 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: What is the units digit of 39366832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 2. Let p(t) = -3*t + 5. Let b(r) = 4*p(r) + 10*w(r). Let g(o) = 5*o**2 + o**2 - 5*o**2. Give g(b(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 724773*m**2*t**2 - 23*m**2*t + 4*m**2 + m*t + 22*t - 2 wrt t.\nAnswer: 1449546*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 4*b + g, -22 = -b + 5*g. Let x(m) = 25*m**b + 205*m - 205*m. Let z(r) = -r**2. What is x(z(w))?\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*q = -516 - 84. Let z(j) be the first derivative of -1\/4*j**2 + 1\/6*j**3 + q + 0*j. Solve z(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - ((-2*sqrt(630))\/sqrt(10) - sqrt(63)))\/sqrt(9)*6.\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 373, 377, 381, 385, 389?\n\"Answer: 4*z + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -278.4?\nAnswer: 279.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6632901031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 0.5 (c) 5\/6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117 + 118. Which is the smallest value? (a) -1\/5 (b) x (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3260847 a multiple of 824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5145\/(-6) + 1\/(-2). Let s be 2 + t\/15 - -1. Let r = 54 + s. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 446*o - 1024. Is x(6) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 + 63 = -6*p. Solve -4*n = -q - 19, 3*q = q + 5*n - p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28263715 a multiple of 2220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*k = 56, 3*i - 1 = 5*k + 79. Let w = 21 - 11. Calculate the greatest common divisor of w and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136946741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -18*z + 124. Let x(k) = -12*k + 83. Let y(h) = 5*q(h) - 8*x(h). Calculate y(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*x = 1533*x - 33821 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7096 is divided by 373?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 2 - (-43 + -4 + 4). Let c be (-3)\/(-14)*330\/o. Suppose -6 - 4 = -5*q. Which is smaller: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 - 13*v**2 + v - 54. Suppose 5*i - 252 = -12. What is the lowest common multiple of i and q(7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-39)*2*(-9)\/30\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 626 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1\/8, -3\/8, 4\/9, 5, 166?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10287, -20692, -31097, -41502?\nAnswer: -51907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1856 and 5162?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**4)\/f)\/f**(-2\/3)*(f*(f\/(f*f**(-1)\/f))\/f)**(-6) assuming f is positive.\nAnswer: f**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (96 - 150 - 245 - 379 - 288)*(-z + 5*z - 3*z) as a*z + q and give a.\nAnswer: -966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 593, 616, 641, 668, 697, 728, 761?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.4 + 6.35. Which is the nearest to y? (a) 0.4 (b) -0.8 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**4\/18 - 2*j**3\/27 + 2*j**2\/9 + 25. Factor g(b).\nAnswer: -2*b*(b - 1)*(b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2 + 3*t - 3 + t**2 + 4 + 8*t. Let d be s(-8). Let p be 7\/d + 17\/33. Which is greater: -2\/9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4\/7 + 4*u**3\/7 - 20*u**2\/7 + 12*u\/7.\nAnswer: 4*u*(u - 1)**2*(u + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dji when three letters picked without replacement from {j: 5, i: 2, s: 3, d: 3, x: 3}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 4*k - 1. Suppose -4*x + 18 = -6. Give c(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719889 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 10:15 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w + 7. Let f = -20542 + 20549. What is k(f)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83670 or 83668?\nAnswer: 83670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1639021, -1639018, -1639015?\nAnswer: -1639012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 5*b - 2168, -16*b + 2168 = 4*h - 21*b. Calculate the remainder when h is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525694 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 2*k**2 + 126. Let n = -5 + 8. Suppose 6*w - w + 2*d + 2 = 0, -n*w + 4*d = -4. List the prime factors of c(w).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 27 = 4*q - 5*d - 13, 0 - 5 - 12 = -3*q + 10*d for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 600840 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22854 greater than 16561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, w: 3}. What is prob of picking 4 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 minus 364.1603596943?\nAnswer: -381.1603596943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -4d7?\nAnswer: -4d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/z**(1\/4))*z)\/(z**(-5)\/z))**(-1\/36) assuming z is positive.\nAnswer: z**(-25\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2012249, -2012250, -2012251, -2012252, -2012253?\n\"Answer: -s - 2012248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (6 - 3 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1491221 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 8 = -14. Solve -s*a + 3*p - 15 = 0, 5*a = -0*a - 4*p + 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3886.8 and 0.0124.\nAnswer: -48.19632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2\/o)\/o*o**(-7)*((o**(-2\/5)\/o)\/o)**(6\/23))**1 assuming o is positive.\nAnswer: o**(-877\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210\/72 - (-10)\/120.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1980 to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y*y\/((y\/y**(2\/13))\/y)*y*y)\/((y\/(y*((y*y\/y**(-3)*y)\/y)\/y*y))\/y))\/(y\/(y**(2\/3)*y)*(y\/(y*y**(2\/11)))\/y) assuming y is positive.\nAnswer: y**(6436\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*k = -0*k + 55, 2*k - 115 = -5*v. Solve 0 = 4*n + n - v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -3\/4*b**4 + 0*b + b**3 + 5 - 1\/2*b**2 + 1\/5*b**5. Factor o(r).\nAnswer: r*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -u + 8. Suppose -2*j + 858 + 36 = 4*b, -u*j = 2*b - 467. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*v**5 + 38548*v**4 + 240912*v**3 + 361808*v**2 + 68928*v = 0. Calculate v.\nAnswer: -4, -2, -2\/9, 0, 1077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - ((-8)\/2 + (-611544)\/(-156354)). Let x = -2\/1133 + t. Sort x, 0.2, 1 in ascending order.\nAnswer: x, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*3\/(-9))\/(6*1\/42)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -22624 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 46*v - 36*v. Which is greater: v or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*w - 1254 = 101*w + 81*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -135890\nAnswer: -2\/67945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*n + 12*n + 4877 - 5381 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**2 + 8587*i + 24. Let c(h) = -h**2 + 8. Determine 3*c(w) - r(w).\nAnswer: w**2 - 8587*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47354164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*g**3*o**3 + 37*g**3*o**2*u + 11*g**3*o**2 - 2*g**3*o*u**2 - 135*o**3*u**2 wrt o.\nAnswer: 30*g**3 - 810*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(132) - (sqrt(132) - sqrt(132)*-3)))\/(sqrt(72)\/(sqrt(6) + sqrt(96))).\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -108227, -108266, -108331, -108434, -108587, -108802?\n\"Answer: -2*m**3 - m**2 - 22*m - 108202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03705 to 3 decimal places.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(5)*-3 + 4 + -5)*1 + 3)**2.\nAnswer: -6*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h + 30 = 0. Let g(b) = 4*b + h - 4*b**3 + 3*b**3 - 1 + 5*b**2. Give g(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-399))\/((-2342)\/16394).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 3\/28*l**4 + 4\/21*l**3 + 2*l**2 + 0 + 0*l + 1\/35*l**5 + 1\/420*l**6. Factor c(o).\nAnswer: 2*(o + 1)**2*(o + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = -5*n - 207. Let r = -45 - n. Let q = r + -31. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 4, 5, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2590360 is divided by 45421.\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011101000010000001 + -100?\nAnswer: -11011101000010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 + 1138*l - 1137. Calculate a(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*y + 10, -2*y + 8 = y - 4*u. Let d = 0.78 - 0.48. Which is the closest to y? (a) 2\/9 (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/969811 - -15818587243\/21335842. Let g = 1154 + -1896. Let z = g + m. Find the common denominator of -69\/20 and z.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11572167 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -b96238 (base 15) to base 8\nAnswer: -41535077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51\/104 - -3\/26. Let v be ((-10)\/(-40))\/((4 + -1)\/12). What is the second biggest value in -4, v, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79339 and 7?\nAnswer: 555373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2881.\nAnswer: 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-826)\/(-413)*((-15)\/2 + 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -849*p + 448*p + 1673*p + 2403*p - 1313 wrt p.\nAnswer: 3675","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -19. Suppose p*g - 4 = -0. Suppose -7 + 3 = g*n. Which is the second smallest value? (a) 2\/11 (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (332*u - 135*u + 449*u)*(u - 2*u + 2*u - u + 0*u + 0*u + (6 - 4 - 3)*(-u - u + 0*u)) to the form r*u + o + b*u**2 and give b.\nAnswer: 1292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.07368?\nAnswer: -0.014736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 4*y + 2. Let i be t(-4). Suppose 1 = i*u + 3. Let h(n) = -3*n. List the prime factors of h(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04428073418 to 5 dps.\nAnswer: 0.04428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -35*n**4 + 1355*n**3 - 870*n**2 - 3020*n - 760 = 0.\nAnswer: -1, -2\/7, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*b - 52, 4 - 22 = -c - 2*b. Calculate the lowest common multiple of c and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f = -19225 - 4609. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**7)\/(j**37\/j*j))\/((j\/(j\/j**4*j*j)*j)\/j*j**(-3\/4)) assuming j is positive.\nAnswer: j**(-121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 17933\/5 and 3586 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v**2 - 3315*v + 2. What is x(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-25) - (-39)\/15. Suppose 4*b - 9 = -3*p, f*b = 7*b + 5*p + 1. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 + (-53)\/3 - -3 and -19 + -4 + -1*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qppqqpqqqqpppp.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*p + 74 = 0, -5*g + 2*g - 4*p + 56 = 0. Let c = -27 + g. Sort c, -4, 3.\nAnswer: c, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-803)\/44 - -19)\/((-36)\/528)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 3. Let m be l(-2). Suppose -5 = -q - m. What is the units digit of ((-3)\/q)\/(4\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + w**2 - 10 + 77 + 53 + 38 in the form q*w**2 + s + u*w and give s.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**5 + 1592*a**4 + 178552*a**3 + 3911744*a**2 + 7294180*a + 3559400 = 0. Calculate a.\nAnswer: -185, -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1267.725069 take away 1841?\nAnswer: -3108.725069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.280767 rounded to 3 dps?\nAnswer: -0.281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/12 - 3\/4. Let z(g) be the second derivative of -4*g + 1\/12*g**4 + 0*g**2 + 0 + 1\/6*g**3. What is z(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -35. Let a be (-6)\/(-8)*(-16)\/w. Solve -l = -2*l + a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -59518248.\nAnswer: -59518253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 7*k - 1 + 19*k - 31*k to b + m*k**2 + x*k and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -53472.228 to the nearest ten.\nAnswer: -53470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 + -1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 - 3*g**2 - g**2)*(0 + 0 + 2) + 100*g**2 - 1832*g + 1832*g + (-4*g**2 + 0*g**2 + 3*g**2)*(3 + 2 - 8).\nAnswer: 105*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (8 - (12 - 22)) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130 - 196. Let l be (-84)\/(-22) - 12\/f. Is 9 a factor of l\/(-4) - -31*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 20 - 37 + 3*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.5 (c) -2 (d) -16 (e) 35 (f) -2\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 12*t + 67. Determine s(4).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 6*n**2 + 3*n - 9. Let m be p(6). Suppose -1 = -5*z + m. Suppose 0 = 2*y + z*c - 18, -35 = -2*y - 3*y + 5*c. Are y and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4322 + -1945. List the prime factors of c.\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-100)*2)\/(2\/(-4))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -159787*j**2 + 9*j + 4. Let q be p(-10). Let m = -22678786 - q. What is m rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2. Let u(y) = -48*y. Let v(t) = 1445*t - 10. Let n(f) = -30*u(f) - v(f). Determine n(p(z)).\nAnswer: -30*z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a day?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9, 318, -6, 1\/4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3791 + 22745\/6. What is the nearest to 1\/2 in h, -0.2, 8, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9206, -9193, -9174, -9143, -9094, -9021, -8918, -8779?\n\"Answer: a**3 - 3*a**2 + 15*a - 9219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*w = 4, 1 = w - 1. Suppose 0 = -3*p + l - 3. Suppose -3*c = 3*q - 8*q - 10, 5*c = -3*q - 40. Sort c, p, 3 in descending order.\nAnswer: 3, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Suppose 0 = -2*v + 3*s + 6, 4*s + 15 = 4*v - 1. Suppose -26 = -8*n + v. Solve 0 = -4*u + g*u, -4*f + 2*u + n = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3403561 (base 7) to base 13\nAnswer: 119b06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 16. Suppose -y*u + 0*u = 0. Put -1, u, -3 in ascending order.\nAnswer: -3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/30 - 5*m**2 + 19*m. Let o(f) be the first derivative of h(f). Let p(w) = -3*w + 0*w - 5*w. Give o(p(b)).\nAnswer: -128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - sqrt(153)*3 - sqrt(153))\/sqrt(3) - -3*sqrt(51)*2)\/(-3*(sqrt(363) - 1*sqrt(363) - sqrt(363))*-4).\nAnswer: -sqrt(17)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/105 + (-2)\/(-5). Let q = 0.58 + 68.42. Let h = 68.8 - q. Which is bigger: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-4\/19)*(c\/(c*c**(-14)))\/(((c*c**(-11)*c)\/c)\/c))**(1\/9) assuming c is positive.\nAnswer: c**(157\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133692 - 668462\/5. Let o be 2\/(-10)*(-10)\/8. What is the closest to o in 3\/4, 0, q, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 3*o + 213 - 260 = 0, 5*j + 40 = -4*o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2774587 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -96*y - 244\/5*y**3 + 0 + 4\/5*y**5 - 8\/5*y**4 - 712\/5*y**2 = 0?\nAnswer: -4, -3, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = x - 2. Let a(c) = 0*c + 2*c + x - 4 - 3*c. Let u = -21 - -26. What is a(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004654142845 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 10*v**3 - 9*v**2 - 9*v - 2. Let d(q) = -q**3 + q**2 + q. What is 18*d(f) + 2*y(f)?\nAnswer: 2*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h. Let i = -8 - -13. Suppose -i*r + 0 = -5. Let w(u) = -2*u - r - u + 1. Calculate v(w(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 at most as big as 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3*g = 30 - 42, 3*g = 3*d + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -0.06811.\nAnswer: -0.56811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01922896 times 4?\nAnswer: 0.07691584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -3\/34 (c) -0.04 (d) -1\/409 (e) -116\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40112 - -20?\nAnswer: 40132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 100*y + 67. Does 21 divide k(-49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1712, -5602, -12086, -21164, -32836, -47102, -63962?\n\"Answer: -1297*x**2 + x - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -39*c - 1216. Let d be z(-24). Is d >= -276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3990 less than 3989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-494)\/(-52) - (-1)\/(-2). Which is the nearest to 1? (a) -2\/9 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (331296\/30305)\/(-28) + (-46)\/(-115)\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i = -3*d - 142, -d - 74 = -5*i. What is the tens digit of 9\/d + 182\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 - -106. Let l = 29 - s. Let q = -64 + l. Is -2 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-16) - (24 + 8225\/(-752)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 636042324 to the nearest integer?\nAnswer: 25220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -118?\nAnswer: 23\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 + 11. Let k = 0.3 + -43.3. Let g = k - h. Is -0.2 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/143 - (-189)\/39. Solve p - g*p = 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -252\/1259 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*w = 24*w - 333 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*k = 132*k + 1810 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163128 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124\/217*-1 + 1110\/(-21)*(-1)\/(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 2147.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 9136 + 3982 = 0. What is the remainder when p is divided by 101?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2773224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 32.1465 kilograms?\nAnswer: 32146.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**3*o**3 - 441*m**3*o**2 + 29*m**3 + m**2*o**3 + 10*m**2*o**2 + 10*m*o**2 + 3*m wrt m?\nAnswer: 6*o**3 - 2646*o**2 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11012 + 100?\nAnswer: 11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 7*h. Suppose p = 2*q - 3, 2 = 3*p - 4*q + 3. Let m be u(p). What is the units digit of (-2)\/(-1 - -5)*m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19386 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -13. Let m(x) = 5*x - 6. Let a(u) = -u + 1. Let n(b) = j*a(b) + m(b). Let d(g) = -10*g. Determine d(n(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*-1*(-2 + -15). Let h be (-1)\/2*2*w. Suppose 0 = -h*i + 13*i + 24. Calculate the remainder when 29 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -2 + 0\/(-1). Let z be j\/(3\/24*2). Let o = -238 + 243. Which is the closest to 0? (a) z (b) o (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 - 0.8. Let r = -0.37 - 0.03. What is the second biggest value in r, g, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**3\/6 + 7*h**2\/2 + h. Let f be a(-7). What is f rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:08 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 162*d = -2*v + 167*d + 3, -3*v = 5*d - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8542848 and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-459)\/85)\/(1\/25). Let v be ((-15)\/(-3))\/(k\/(-18)). What is the closest to 0.1 in v, -0.5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*n - 144 = -888 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -0.5 (b) -4 (c) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 395\/3, 2, 42, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 230 + -232. Let h be (-4)\/(-5)*45\/18. Which is the fourth biggest value? (a) f (b) h (c) 0.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 559 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512.731 millennia to centuries.\nAnswer: 5127.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10199 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15400 and 55550?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-1)\/1)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 3)*(0 + 4 - 2)*(13*d**2 + 6*d**2 - 3*d**2) + (2 - d - 2)*(-1 + 1 + d) - 9*d + 9*d + 4*d**2.\nAnswer: -29*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -14 (c) -0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 5*h. Let d = 17 + -21. Let q be x(d). Let j(f) = -1 - 3 + 5*f + q. Give j(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 + 12832*l\/5 - 329334.\nAnswer: -2*(l - 6285)*(l - 131)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30679, 23551, 11671, -4961, -26345?\nAnswer: -52481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((15\/2)\/5). Let l(c) = c**3 + 2*c**2 + 2. Let f be l(z). Let w(o) = -4300000*o. Let y be w(f). What is y rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 17*j = 40. Let i be ((-17)\/17)\/((-2)\/j). Solve -i*x + 2*h + h = -14, 2 = h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4619*n + 2925 + 43265 = 0 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.5925 - 15.74. Round a to two dps.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 24 and 25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-10))\/((-81)\/(-135))*378\/(-2016)?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9669 = 2804*c - 2999*c - 2226 for c.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(540))\/sqrt(12))\/(sqrt(45)\/(sqrt(20) + sqrt(5))).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/9, 2, -0.5, 250, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 23*i - 30. Let q be r(21). What is the smallest common multiple of 58\/12 - -3 - (-2)\/q and 38?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**3 + 89526747*m**2 + 20323048 with respect to m.\nAnswer: 3*m**2 + 179053494*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32990059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 - ((-10 + -5 - 2) + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x - x + 4 + 4*x. Let s be -1 - (4 + (-1 - 0)). Let c be ((-4)\/6)\/((-2)\/9). Let p(n) = 5*n + 3. What is c*y(k) + s*p(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 + 2*t**3 - t**3 + (t**2 + t**2 - 4*t**2)*(-t - 5 + 5) - 1 + t**3 + 1 - 4 + t**3 + 4 - 19*t**3 + 69*t**2 - 69*t**2.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**4\/2 + 2*b**3\/3 - b + 2. Let x be c(-1). Which is smaller: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 1:38 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*a = -207*a - 100. Factor -8\/3*l - 2\/3*l**a - 8\/3.\nAnswer: -2*(l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/5 and -39\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8769198963.163 and 0.02.\nAnswer: -8769198963.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5645723357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724307.\nAnswer: 509, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/u*u**(-2\/5))**(1\/16) assuming u is positive.\nAnswer: u**(-1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19659 (b) 0.1 (c) -2 (d) -5\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (9 - 36 - -19) + (2 - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*f**4 + 4*f**2*r + 2*f*r + 76*f wrt f?\nAnswer: -204*f**2 + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -968, 2, 0, -6, -24, -3 in decreasing order.\nAnswer: 2, 0, -3, -6, -24, -968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 2*c + 29, c + 2*v - 776 = -4*c - 880 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.35 + -0.15. Let y = 5.5 + q. Let h = 2.8 + -3. Is h equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99.9 - 97. Let b = z - 3. What is the closest to b in 5, -7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -266*k - 224. Let o(r) = 1210 - 593 + 12*r - 605 + 2*r. Let c(n) = -3*l(n) - 56*o(n). Let i(w) = -13*w**2. Give i(c(m)).\nAnswer: -2548*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(720) + 1)*2*-2)**2 - ((sqrt(720) + -4 + sqrt(720)*4 + sqrt(720) - sqrt(720))*-6 + 1)**2.\nAnswer: -360225 + 27600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18031 (base 10) in base 2?\nAnswer: -100011001101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 118932 divided by 5406?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - 16\/4 - 2. Solve u = h - w + 1, 0*w = -5*h - w - 29 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/9))**(-2\/29)*f**(-1\/3)*f*f\/f**(-6))\/(f\/f**1*f*f*f*f**(-2)*f*f*(f*f**(-1\/9))\/((f*f**1*f)\/f)) assuming f is positive.\nAnswer: f**(166\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -497\/44 - -1124667\/99572. Let p = 76963\/47523 + s. Let b = 511\/2 + -760\/3. Find the common denominator of p and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3468360 - 3468358 + 71*t**2 - 130*t**2.\nAnswer: -59*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 7*i**3\/3 + 1205. Let o(z) = z**2 + 7*z. What is o(t(m))?\nAnswer: 49*m**4 + 49*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*u + 46 = -5*f, -f = -u + 6. Sort -5, f, 1 in decreasing order.\nAnswer: 1, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0311 - -0.2341. Let b = v + -0.003. What is the third biggest value in 1\/2, b, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 958421 is divided by 2633.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30426 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 674, 5292, 17820, 42212, 82422?\nAnswer: 142404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = 1. Let c(o) = -8*o + 6*o + 2 + n + 1. Let g(k) = 4*k - 13. Let w(v) = 13*c(v) + 6*g(v). Let s(a) = -8*a. Determine s(w(y)).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2. Let w(b) = -14*b + 2*b - 139*b - 12*b. Calculate x(w(z)).\nAnswer: 26569*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 8, 5, -8, 7, 3 in decreasing order.\nAnswer: 8, 7, 5, 3, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 274995 and 364?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -38, 0, -1\/2, -0.02?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*f + 96991 = 2148*f - 148493 for f.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 5*d - 5*v, 7 = d - 3*v - 38. Suppose 3*s = -5*p + 4*s + 27, -3 = -p - s. Suppose -p*t + 32 = -78. What is the greatest common divisor of t and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/4*(-3696)\/(-12936)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6536 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59, -41, -455, -1339, -2849?\n\"Answer: -26*i**3 - i**2 + 85*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 599.701 + 0.799. Round v to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-37)\/q*q)\/(((q\/(q*q**(-1\/16)*q))\/q*q)\/q*q) assuming q is positive.\nAnswer: q**(-545\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -24*d**2 + 3*d + 5. Suppose -4*n = m + 14, n + 5*m + 1 = 7. Let g(s) = s**2 - s - 1. Let i(v) = n*g(v) - c(v). Is i(1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -121.4428 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 116717632499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 0*o**2 - 4*o**2)*(o**2 - 2 + 2 + (o - 19 + 19)*(6 + 3*o - 6)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 381*d + 5*d**2 - 381*d - 241 - 4*d**2 + 0*d**2 + 3*d**2 + (-3 + 0 + 1)*(4*d**2 - d**2 - 2*d**2).\nAnswer: 2*d**2 - 241","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/3, 0.0087, 0.4, -3\/2, 0.3, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10590347.7 seconds in days?\nAnswer: 122.57346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 9*s + 13. Let h be c(-8). Suppose h*o = -3*j - 19, -j - 8*o = -7*o + 5. Let u(k) = -4*k + 8*k + 0*k + k**2. Give u(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -118. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8366 rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93.793 + 0.907. Let d = s - 103. What is d rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10\/307 + 13411\/6447. Let l = 18968477\/3534510 + 2\/117817. What is the common denominator of y and l?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r + 2 - 37. What is the smallest value in -3, r, 1.6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + 2 + (33 - 25).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/21202720 and -23\/68840.\nAnswer: 21202720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3\/5 - 8140*p**2 = 0 for p.\nAnswer: -40700, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 21, -0.4, 3, -3\/4, 5, 412?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3190)\/(-407) - (-2 + 4)) + -4. Let r = x - -603\/296. What is the common denominator of -49 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -54.\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4997 and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 54 = -9. Let c be (-21 + 0)*-1 + 1. Let w = 51 - c. What is the remainder when w is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 - 9*d**2 - 4*d - 3. Let t be f(5). What is the closest to -1\/4 in t, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 12*b + 1791 = -a, 3*a = -3*b + 2664. Is b greater than or equal to 894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 27*m - 14097. Give j(133).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -119524\nAnswer: 3\/59762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16425030 + -403?\nAnswer: 16424425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 7. Let s(h) = -33*h - 102. Let m be s(-3). Which is the nearest to -1\/5? (a) -11 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 9:14 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/5)\/((-2)\/(-20)). Let f = 158.6 + -157.6. What is the nearest to -1\/3 in f, -5, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22234330 (base 5) to base 9\nAnswer: 328136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-12) - 177599\/(-186) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2724*u**2 - 68*u + 4111. Let k(d) = 2724*d**2 - 85*d + 4107. Let r(h) = -4*k(h) + 5*x(h). What is the derivative of r(q) wrt q?\nAnswer: 5448*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31*-14\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 5*f - 2. Let h be 23\/(-3) - (-34)\/51. Let x(o) = 4*o**2 - 9*o - 3. Calculate h*r(a) + 4*x(a).\nAnswer: 2*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 21*y - 971. Let a(p) = -3*p - 1. Calculate 14*a(u) + 2*s(u).\nAnswer: -2*u**2 - 1956","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-20)*((510\/17)\/60)\/(6\/(-48))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 686559042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1176.7 - 1171.279. Let s = j - 0.021. Let k = -5.2 + s. Sort k, -1\/2, -2\/5 in increasing order.\nAnswer: -1\/2, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50463360 by 78849.\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107.3*1.85546.\nAnswer: 199.090858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3423 - -8820?\nAnswer: 12243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -149*((5 - 0) + -4). Let o = d - -267. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 - -51. Let d = -3.984 + -0.016. Which is the nearest to 1\/3? (a) -1\/4 (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u. Let h = -42 + 47. Let o(w) = 6*w**2 + 3*w**2 - h*w**2. Determine o(d(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - 1 - (-699 - -700)) + -107?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4251662, -4251701, -4251766, -4251857, -4251974?\nAnswer: -4252117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 15941, -1\/9, 1 in descending order.\nAnswer: 15941, 1, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1024, -2047, -3070, -4093?\nAnswer: -5116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(-42)*(-40)\/(-210).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -198 - -53. Let v = u + 9. Let c = -67 - v. Which is smaller: c or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 - 1\/1) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 28 - (-1 + 1\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-364)\/910*((-3)\/3)\/(-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/3 + 1\/3. Suppose 5*u - 25 = 5*b, -u = u - b - l. Solve -d - u = -0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2)*10\/(-30)*9\/33\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232 (base 8) to base 4.\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/9 (b) -2 (c) 2 (d) 1 (e) 1392\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 - -52. Let q = -22 - d. What is the least common multiple of 6 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-37)\/(-27))\/((-2)\/6). Which is smaller: k or -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7006 is divided by 171.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 178\/30 + (-2)\/10 and -85\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 3:14 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-216)\/(-396)*(-1)\/2.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(108))\/sqrt(6))\/sqrt(6) - (5*(-1 + sqrt(3)) + -1) - 1*(((sqrt(240)*2 - sqrt(240))\/sqrt(5))\/sqrt(4))**2.\nAnswer: -6 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 409568471?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, n: 5}. What is prob of sequence kkn?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((90\/(-25))\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -16*f. Let o be -1 - 0\/(2\/2). Let a be i(o). Let r(k) = k**2 - 5*k + 2. Let t be r(5). Calculate the highest common divisor of t and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 30 = j - 6*j, -3*d = 0. Let z = -4 - j. Which is the nearest to -0.03? (a) 4 (b) z (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 4343569713?\nAnswer: 4343569713.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*q**3 - 1387 - 3*q**3 + 1405 wrt q?\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtddggtqqdgqtqq. What is prob of picking 2 t, 1 d, and 1 q?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15204 is divided by 5061?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 529 and 5773?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ad04 - 0?\nAnswer: ad04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, 362, 1454, 3586, 7106?\nAnswer: 12362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*v + 3. Suppose v - 11 = -5*n. Solve -4*z = 3*l + 5, 0*z + 2*l = -n*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 84. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7020063 divided by 10431.\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 1\/8*i**4 + 1\/2*i**3 + 0*i - 11*i**2 + 0 - 1\/120*i**6 - 1\/12*i**5. Determine t(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 0.5 (c) -8 (d) -3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, j: 2}. What is prob of sequence yy?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80360 (base 16) to base 2.\nAnswer: 10000000001101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299 + 283 + 276 = y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*m + 16, -3*z + 3*m + 2 = -1. Let j(n) = 5*n - 4. Let t be j(2). Solve 3*w + t = -z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90310690?\nAnswer: 2, 5, 9031069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1771 divided by -23.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.7919092.\nAnswer: -0.15838184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -5*w + 27, 0*w - 3*w - 20*y + 12 = -8*w - 33 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1240272 divided by -3.\nAnswer: -413424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3650 - 2255. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 696 and 90654?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 402 = 4*p, 2*p + 138 = -2*b - 22. Let a = 117 + b. Calculate the greatest common factor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-two fifths of a meter?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyvvxyjvvxxvv. Give prob of sequence jjx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048381 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - 60. Let n(v) = -v**2 - 2*v + 2. Determine n(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n - 201 - 101 + 79.\nAnswer: 12*n - 223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -35. Let j = 7.26 + -6.76. Let d = -5\/22 + -1\/44. What is the closest to -1 in j, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = -2*m. Let p = -5 - -9. Suppose -3*v = p*z + v - 48, 2*z - m*v = -6. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 6*i - 11*i = -19490, 11687 = 3*a - 4*i. Is 40 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 4:07 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 5. Let l = 3.012 - z. Let n = -0.01 + l. What is n rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022.561542 - -3?\nAnswer: -1019.561542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwl when three letters picked without replacement from zlwwrwwlrlllzrlrzwz?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10176859 take away 3?\nAnswer: 10176856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 8 + 7 + -7 - 6) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26770, 26768, 26766?\n\"Answer: -2*n + 26772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 205, 258, 331, 430, 561, 730?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 201110.5 meters in kilometers?\nAnswer: 201.1105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -4*f. Suppose -10 = -f*n + 12. Calculate the remainder when 21 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.441 - -0.341. Put -2, -3, m, 3 in increasing order.\nAnswer: -3, -2, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28668 + 28668 - 7*q**3 - 112*q**2 in the form v + i*q**2 + f*q + j*q**3 and give i.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1509*g**3 - 7*g**2 + 8*g + 4596. Let i(z) = -3017*z**3 + 16*z**2 - 19*z - 9192. Let w(q) = -3*i(q) - 7*x(q). Find the first derivative of w(s) wrt s.\nAnswer: -4536*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 8 (c) 4\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 = -h - h + 5*s, -h - 4*s + 126 = 0. Suppose 0 = -5*a + a + 2*b + 140, -4*a + h = -3*b. Suppose -3*t - t + a = 0. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 297326200 to the nearest one hundred thousand.\nAnswer: 297300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-4)\/10 + 7\/10 + 23895\/1350 and 174?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(((b*b**(1\/6)*b)\/b)\/b*b)*(b\/b**(4\/3))\/b assuming b is positive.\nAnswer: b**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 14*l**2 + 13*l. Let d(y) = 4*y - 7470*y**2 + 14955*y**2 - 7480*y**2. Calculate -4*a(t) + 11*d(t).\nAnswer: -t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 76220\nAnswer: 381100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from iiuivivuugiiggiuuii?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 53 + 59. Let m be ((-42)\/(-15))\/((-1)\/(-5) - 0). What is the highest common divisor of m and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32649 divided by -12?\nAnswer: -10883\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1 + sqrt(245))*-6 + sqrt(245) + (sqrt(245) - 4*sqrt(245)*1) + sqrt(245))**2.\nAnswer: 588*sqrt(5) + 12042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/612 and -26\/1071?\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -128*w - 7. Let m be x(10). Let r = -432 - m. Calculate the remainder when r\/18*4\/5 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11533 - -11550. Solve 37*p + 350 - g = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021939 rounded to 5 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8141.9 * 4876\nAnswer: 39699904.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20336 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(6534))\/(5*sqrt(75)) + -3)**2.\nAnswer: -792*sqrt(2)\/25 + 40473\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*h*z**3 + a**3*h - 2*a**3*z - 53385*a**2*z**4 + 2*a**2*z + 3*h*z - 92*z**2 wrt z?\nAnswer: 6*a**3*h - 1281240*a**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 8*z**2 - 9*z + 6. Let y be f(-7). Let r = y - 14. Solve 3*g = -r, -2*g = -4*a - g - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 401171913 and 2545?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 46*r - 794. Let z(c) = -71*c + 1192. Determine 8*q(t) + 5*z(t).\nAnswer: 13*t - 392","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34930 and 2200590?\nAnswer: 2200590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z + 2323. Let k(a) = 44*a + 19. Give r(k(m)).\nAnswer: 88*m + 2361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/105)\/(72\/(-84))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506\/(-3263) - (-1595)\/(-65)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -326 and 9.83?\nAnswer: -3204.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 23*t - 26*t + 0*t**2 + 3*t**2 - 3. Let u(w) = -w - 1. Let n(z) = -m(z) + 5*u(z). Let p = -10 - -8. What is n(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 5:01 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 3*x - 3*x)*(-2*x + 0*x + 3*x) + 2 - 2 + 2*x**2 - 2*x + 2*x + 2*x**2 + x**2 + x**2 - x**2 + (-2*x - 3 + 3)*(-2*x - 3*x + 6*x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s - 1. Suppose -3*a + 30 = -5*a. Let p = 16 + a. Give i(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 + 103. Let g = 0.07 - -4.93. Let v = g - 5.1. What is the biggest value in r, 0.4, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 4035?\nAnswer: -4036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 2497.\nAnswer: 29964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25834 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-25) + 23\/(-5). Let l = -1 + o. Let b be (l\/(-9))\/((-1)\/(-9)). Solve 5*x = 2*x - b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (2 + -4) - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -83946135.9 minus -0.18?\nAnswer: -83946135.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.33 - -12.712. Let z = -30.678 - f. Let x = -29 - z. Which is smaller: x or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -39 (b) 3\/8 (c) 9 (d) -6 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-4)\/3*(-5)\/(-150)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 120?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (-6 + 2 + -19)) + 1. Solve 0 = -4*q + q + 12, 2*q = 3*w + s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, -273, -0.1, 5, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 - -3)\/6 - 1*-5. Let r(o) = o**2 - 8*o. Let y be r(8). Suppose 0 = -x*i - y*i + 264. Round i to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 24430 and 24457 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4964703\/32 - 155163. Which is bigger: g or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r. Let k(s) = -3627691*s - 6. Calculate k(v(y)).\nAnswer: 3627691*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 938547768?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-3)*(-3)\/(-6) + 3. Suppose v - 5*v - p*n = -27, 5*v + 2*n = 25. Suppose -10*o - o = -33. Solve -5*w + o*c = 5, 0 = 3*w + 2*c - v + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 + 0.12. Let d = 5 - j. Let p = -1 + d. What is the second biggest value in 3\/8, 2\/11, p?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 2*k**2 - 8*k + 15. Let n be t(3). Solve -5*q - i - 4 - 17 = 0, -i - 1 = n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -112. Suppose -c + 2*m = -22, 3*c - 4*m - 20 - i = 0. Let x(q) = -4*q - 6. What is the remainder when c is divided by x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -1601, -4803, -9635, -16103?\nAnswer: -24213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, 8, 29, 58, 95, 140, 193?\n\"Answer: 4*n**2 + n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 20*c - 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/2 + 1\/2. Which is the nearest to 1\/2? (a) 3 (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31528707?\nAnswer: 3, 7, 214481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*r = -119*r + 279*r - 606727. What is the highest common divisor of 22 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4\/b)**(36\/7)\/(b*b**(-1)*b*b**(-6)) assuming b is positive.\nAnswer: b**(143\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7289, -7253, -7239, -7259, -7325?\nAnswer: -7449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -24.9. Let v = 226.1 - 226. Let i = -84 + 254\/3. Which is the closest to v? (a) h (b) 3\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3 + 2 - 142*j + 2. Is h(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -40, -148, -366, -730, -1276, -2040?\nAnswer: -3058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -6. Let s = 3 + o. Which is the nearest to -2\/5? (a) -1\/7 (b) s (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 338*g**3 + 2*g - 138 wrt g?\nAnswer: 2028*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 2*s + 64 = 0. Let n(a) = a + 9 + a**2 + 5*a + 13 - s. Determine n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57373+-224109.3\nAnswer: -166736.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - k**2 + 2*k**3)*(-2 - 1 + 4)*(-28*k**2 + 12*k**2 - 14*k**2).\nAnswer: -60*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*c - 8*c. Suppose 51 = -c*h + 65. Suppose -2*g + 76 = 2*g. Solve 3*a + g = 5*y, h*a - 5*y + 22 = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q + 8 - 8 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 66*n + 4. Let g be p(66). Solve -5*y + 2 = g*m - 3, 2 = 2*y + m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.18639 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -47. Suppose -3*h + 8 = -2*l - 0*l, 3*h - 7 = l. What is the closest to -1 in l, 39, d, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9485\/77 - (-2)\/(-11). Let v = -120 + n. Find the second derivative of -16*z**v + 8*z**3 + 2*z + 12*z wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-36108)\/(-1020))\/(6\/40) is divided by (60\/(-14))\/((-3)\/21).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1028, 4142, 9330, 16592, 25928, 37338?\nAnswer: 50822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/(-3 + 7))\/(-1). Let v = -4 - -3. Let l = 1.1 + v. What is the closest to -1\/3 in m, l, 3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -25*b + 49. Determine w(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9933923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-10))\/(3\/15). Suppose -b + 8 = -2*q, 4*b + q - 22 = -q. Differentiate -b + 483*d**y + d - d - 468*d**2 with respect to d.\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3167359 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + ((1*sqrt(119))\/sqrt(7))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -5*h**3\/6 - h**2\/2 - 12286*h. Let n(r) = -7*r**2 - 3. Give n(j(o)).\nAnswer: -175*o**2 - 70*o - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 0*m**2 - 2*m**2 - 3*m**2 + 8*m**2. Let c(i) = -5*i**2. Determine c(x(j)).\nAnswer: -45*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3634 divide 126412324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23298 + 23307. Solve 60 = m*c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38872 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: What is 439 minutes after 2:11 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 495167222 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1103160 and 58116.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17.375 times -6.3\nAnswer: -109.4625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 146815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 1:36 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 43*d - 20. Calculate p(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9299)\/714 - -13)\/(-10*(-3 - -5)\/8)?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, -3\/16, -37, 2, 4\/13?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614885 is divided by 1619.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23844 - 4291879\/180. Find the common denominator of n and -93\/50.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 35. What is the greatest common divisor of 14 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 4*v**5\/15 - 7*v**4\/6 - v**3 - 18*v - 1. Factor m(z).\nAnswer: 2*z*(z - 3)*(8*z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1. Let d(g) = g + 0 + 5 + 0 + 1. What is -d(y) - 6*s(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -3 - (-16 - -25)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276687054 divided by -1224279.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-3))\/(2\/(-3)). Let w(n) = 6*n - 3. Let b be w(1). Solve -14 = b*q - 5*q + s*m, 3*q + 2*m + 4 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**0)\/a*a**(-4)*a**(-4)\/a**5*(a*a**4*a**(-9))**(5\/7) assuming a is positive.\nAnswer: a**(-111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64750696 by 1.\nAnswer: 64750696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11586, 11068, 10550, 10032, 9514, 8996?\nAnswer: 8478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/21)\/t**(7\/2))\/(t\/(t*(t\/(t**14*t)*t)\/t)*t*t**(-1\/14)) assuming t is positive.\nAnswer: t**(-389\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.149\nAnswer: -0.149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 617\/8 + -3069\/40. What is the nearest to 414 in 4, h, 0.5, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - -2. Suppose g - c = -o, 1 = 3*o - 14. Calculate the remainder when 111 is divided by g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-27)\/(-6) - 3)*(-1)\/3. Let v = -11 - -11. Which is the third biggest value? (a) k (b) v (c) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, -1, 6 in ascending order.\nAnswer: -10, -4, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44.4 + 43.4. Which is the fourth biggest value? (a) 6\/11 (b) g (c) 2 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 178127*i - 8244. Let h be o(12). Round h to the nearest ten thousand.\nAnswer: 2130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3808 and 142856?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49 in -0.4, 34\/7, -0.06?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 23*a - 312. Is l(53) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 26. Let v be l(0). Suppose -j = -2*g - 16, 2 = -2*j - 3*g - 1. Let p be -2 + 4 + 6\/2. Solve p*c - j = -v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*m - 1 - 3 = 0, m - 1 = 0. Suppose 4*d + 4*h + 15 = h, a = 3*h + 3. What are the prime factors of (-2*d\/(-12))\/((-1)\/202)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/((t\/(t**(4\/3)*t))\/t))\/t)\/t)\/(t*(t*t**(-1\/2))\/t))\/((t\/t**4)\/t*(t\/(t**(-8)\/t))\/t)*(((t*t**1\/t)\/t)\/t**(-2))\/(t**(-4)\/t**7) assuming t is positive.\nAnswer: t**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -172 divided by -86\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(-6) + 1\/2. Suppose -1 = x*a - 2*q, -3*a + q - 6*q + 18 = 0. Solve -a = d + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783.5979us to seconds.\nAnswer: 0.0007835979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w\/(((w**5\/w)\/w)\/w)*w**(-6)*(w\/w**(-5)*w)\/(w*(w\/(w\/(w**(1\/10)\/w)*w))\/w))\/(w**(2\/25)\/(w**(2\/5)*w))**28 assuming w is positive.\nAnswer: w**(2093\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*m**2 - 164*m**2 + 86*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and -5.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2077223 is divided by 2077219?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -395663, -791321, -1186979, -1582637?\n\"Answer: -395658*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * -4.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*b + 217 = 130*b. Sort -10, b, 12 in increasing order.\nAnswer: -10, b, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64329.\nAnswer: 3, 41, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.38575 to one dp.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/((-2090)\/(-20))*22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27 - -6)*(-1 - -4). Let q = 4 + 48. Let j = m - q. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d**2 + 4*d - d**4 + 3 - 4*d**3 - 46*d**2 + 21*d**2 = 0. What is d?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 732*v**2 - 154*v - 89. Is a(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**33\/(n**(-1\/3)\/(n*n**(-3\/2))) assuming n is positive.\nAnswer: n**(197\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*u + u. Which is the closest to 3? (a) u (b) -0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-20))\/(110\/264)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/11 (b) 10 (c) 1579 (d) 0.6 (e) 0.4 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(448) + 1) + sqrt(448) + -5 + sqrt(448) + -1 + sqrt(448) + sqrt(448) + 2)**2.\nAnswer: 144*sqrt(7) + 36289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28\/(-12) - ((-581420)\/15 + -1)?\nAnswer: 2, 3, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111087 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, 5, 1\/2, -5, -0.04, -3\/7 in descending order.\nAnswer: 5, 2, 1\/2, -0.04, -3\/7, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 20 = 0, 5 = h - 19*v + 21*v. Suppose 0 = 2*c - 3*c. Sort 1, h, c in ascending order.\nAnswer: h, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116851 (base 12) to base 8\nAnswer: 1045075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -290*k - 9858. Let m be z(-34). Let v(a) = -a**3 - 2*a**2 + 0 + 4*a**2 - 3. Give v(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.2 - -1.2. Let k = i + 1. Let r = k + 4.3. What is the closest to -0.1 in -2, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137421.\nAnswer: 3, 15269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/72*(-795)\/(-300)*-24.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - u)*(0*u - 2*u + 0*u) + (2 - 2 - 17)*(-2*u**2 + 3 - 3))*(-u - u + u).\nAnswer: -36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/55)\/y*y)**(-41) assuming y is positive.\nAnswer: y**(-82\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 2*p**2 + 100*p + 3560. Let c be v(0). Calculate the highest common divisor of 40 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535483833 to the power of 1\/2, to the nearest integer?\nAnswer: 23141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 128, 160, 210, 284, 388, 528, 710?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -671?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -6388515?\nAnswer: -6388514.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n + 4*w - 4504 = 0, 2*n + 3*w - 2255 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(3)*-2 - sqrt(3) - sqrt(27)\/sqrt(36))*-6.\nAnswer: 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*l - 3*y, -5*l - 12 = -3*y + 22. Suppose -1 = 5*s - 3*b, 0*s - 2*s = -b + 1. Put l, 2, s in increasing order.\nAnswer: l, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*z - 130 = 17*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75961565 by -282385.\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 2)*(5 + -11 + 88\/16). Which is the third biggest value? (a) -3 (b) u (c) 72 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 108*m**2 + 5*m - 7. Let t(j) = 109*j**2 + 6*j - 8. Let k be (-30)\/4*9\/(360\/(-32)). Let b(n) = k*w(n) - 5*t(n). Let x(y) = y**2. What is x(b(h))?\nAnswer: 10609*h**4 - 412*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s + 1055 = -4*s - 160. Solve -s*v + 252 = -3*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 271, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 - h - 1. Let p be g(-1). Let s = 5 - 0. Find the second derivative of 6*a**5 - 3*a**p + 4*a**s + 3*a - 3*a**5 wrt a.\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 16*d**3 + d**2 + 3*d - 1. Let v be y(2). Let w be 7*-1 + 2160\/(-45). Let c = v + w. List the prime factors of c.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*s + 192*s + 85 = 0. Solve -s*j = -12*z + 10*z - 15, -z - 20 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 6. Let u be j(3). Suppose 7*k - 4*k - 3 = u. Solve -4*v = -p - k, 2*p - 6*p + 3*v - 17 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/10, 0.4, 1\/5, -4.9, 1238?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*12134.\nAnswer: 36402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51543524 (base 6) in base 7?\nAnswer: 15450436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*i**2 - 9766*i - 15840.\nAnswer: 2*(i - 176)*(28*i + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4930852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.59 - -0.4. Let p = -0.1944 - s. What is p rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.408 and -2.7.\nAnswer: 1.1016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*r - 2*r. Let h(b) = 2*b - 2. Let v be h(r). Solve -a + 15 = -v*q, -4*q + 3*a - 4 = 31 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1523*w*z**4 + 6*w*z**2 + 540*w*z - 2*z**5 wrt z.\nAnswer: 36552*w*z - 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -517 - -2037. Suppose b = -5*c + 45*c. Let d be 5\/(-1)*38\/(-5). What is the greatest common factor of c and d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10294029 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29689018 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -6 in decreasing order.\nAnswer: 6, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a*a**(-12)\/a)*(a\/a**(-28))\/a assuming a is positive.\nAnswer: a**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 15*s + 1. Let o(c) = -2*c - 14*c + 18*c - 7*c + 2*c. Let d(r) = r - 2. Let x be d(6). Let t = x + -2. Determine t*a(z) - 11*o(z).\nAnswer: -2*z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 688 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963501 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 2*x - 24)*(4*x + 0*x - x) + 164*x - 164*x - 85*x**2 - x**2 + x - x.\nAnswer: -80*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.0279 - 24. Let k = 0.0163 + p. Round k to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i. Let b be p(0). Suppose 2*k - 145 = -3*k + 3*s, b = 5*k + 3*s - 175. Calculate the greatest common divisor of k and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, v: 6, s: 1, g: 4, n: 3}. What is prob of sequence wnws?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 - 26. Suppose 0 = -5*y - 3*q + v, 2*q - 1 = 4*y - 3. Factor 0*t**4 + 5*t**4 + 2*t**3 + 3*t**y - 6*t**4 - 4*t**2.\nAnswer: -t**2*(t - 4)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.07 (b) 3691 (c) -4 (d) 0.1 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 2 + 2 + 2*v - 6*v + 3*v + (-4*v + 5*v - 2*v)*(-1 + 1 + 2).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12315 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, a: 1, j: 2, w: 1, k: 1, s: 2}. Give prob of picking 1 w and 1 d.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 448 - 478.1. Let q = j - -30.3. Which is the biggest value? (a) 0.55 (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*f, n - 2*f = 5*n. Let c(g) = -1 + g + n*g - 152*g**3 + 10*g**2 + 153*g**3. Give c(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*n + 23, -2*p = -3*p - 4*n + 19. Let v(y) = -8*y + 1. Let c be v(-1). What is the highest common divisor of p and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 527*p - 543*p - 10254 - 18192 = -8111, y - 5*p - 94 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 83968*n**2 - 57*n - 89. Is l(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f - 6*f - 6*f + 2*f in the form p*f + i and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67429.\nAnswer: 67429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 42, 2 in ascending order.\nAnswer: 2, 6, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**7\/3780 - d**6\/1620 - d**5\/270 - 46*d**3\/3 - 2*d + 25. Let a(c) be the second derivative of x(c). Solve a(h) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 + 4 + 2*d.\nAnswer: 2*d + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1085 + 3663. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*j + 275 + 46540 = -3911*j - 21186 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-5))\/((-22)\/((-52800)\/180)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30961\/12 + 2580. Sort 1\/10, 3, 0.3, -0.9, f in decreasing order.\nAnswer: 3, 0.3, 1\/10, f, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-15)*q**(2\/5)*(q\/(q*q*q\/q**11*q))**(-29))**(2\/5) assuming q is positive.\nAnswer: q**(-2156\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1)\/((-1034)\/2632 + (-1)\/(-4))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1407 and 609.\nAnswer: 40803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6792 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 656, 658, 660, 662, 664, 666?\n\"Answer: 2*d + 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17518*l**3 - 104*l**2 - 28*l + 1.\nAnswer: -105108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13090 is divided by 468.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*x = 28, 4*x = 2*y - y - 2. Calculate the remainder when -1*(0 + 19)\/(-1) is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 9 - 59 = 0. Suppose -z = l - 26. Let q(p) = -37*p - 1. Let n be q(-1). Calculate the greatest common factor of l and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 + -2112?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 642 and 1819.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2 and 4 + (-1164)\/351 + (-6)\/27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 0*x + 19333\/8*x**4 - 5\/6*x**3 + 0 - 2*x**2. Let r be j(-5). What is r rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3218284462?\nAnswer: 2, 79, 20368889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 1047a4?\nAnswer: 1047a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46277 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*6*23\/(-1196)*-26. Solve o*s - 14 - 5 = -4*y, -4 = -4*s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 9*x - 7. Calculate a(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -56, -3\/5, 3, -0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2542 - 1147?\nAnswer: -3700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/78 (b) -1\/4 (c) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/37000 and ((-10)\/160)\/(6\/584)?\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0*j - 26. Calculate the remainder when 37 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4418398, -17673662, -39765772, -70694728, -110460530, -159063178?\nAnswer: -216502672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -36*m + 38*m - 2*n, 2*m = 4*n + 14. Suppose 0 = -g - 3*g. Solve -v = -y + v + 7, 4*y - 3*v - m = g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (3 - 1) - (-21 + 17)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -6 (b) 2\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -63, -250, -563, -1002, -1567?\n\"Answer: -63*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5593863 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -15*y**3 - 7*y**2 - 7*y - 6. Let q(v) be the second derivative of -v**5\/4 - v**4\/6 - v**3\/3 - v**2 - 43*v - 1. Determine -2*g(t) + 7*q(t).\nAnswer: -5*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/30*(3 - 94\/30)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, f: 1, x: 3, a: 4, c: 5}. Give prob of sequence xgaf.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 1. Let f(r) = 169*r - 2. Determine f(i) + 4*x(i).\nAnswer: 165*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-171) + (-3164)\/450 - -7?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11287019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**4 - 33*q + 5*q**4 + 0*q**4 + 14*q**4 wrt q?\nAnswer: 204*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 - -1408\/19. Let m = -0.43 - 0.07. Let w = m + 0.5. Which is the third biggest value? (a) -11 (b) u (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a - 26*a + 4*l - 34 = 0, 4*l - 42 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -42*k**3 + 2*k**2 - 14 + 27 - 4*k**2 - 12. Calculate v(1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2. Suppose -3*x - 39 = 4*t, 3*x - 2*t = 5 - 26. Let o(m) = -6*m - 9. Let g(b) = -3*b - 4. Let n(z) = x*g(z) + 4*o(z). Determine n(v(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from lfmbfmefnblfbmn?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 + 4*s**2 - s + 1. Let q be x(3). Let h be 3\/12 - 117\/4. Let f = q - h. Calculate the greatest common divisor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, d: 1, k: 1, u: 1, g: 1, p: 2}. What is prob of picking 1 b, 1 u, and 1 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1389850 is divided by 514?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + (31 - 21)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -11 + 7 + (48 - 40) - 47.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*s + 5*f = -38, 0 = 3*s + 5*f - 7. Suppose 0 = b - 4*b + s. Solve -5*m + 4*p = 1, -b*m + 2*p + 1 = -0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 - 22 + 12 + 11 to v*f + s*f**2 + j*f**3 + m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*r**3\/7 + 321*r**2\/7 + 376*r\/7 + 36\/7.\nAnswer: -(r - 18)*(r + 1)*(19*r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166324803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 12, 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(10\/(-120))\/(1\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12509, 54640, 126391, 227762, 358753?\nAnswer: 519364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**3 + 2*i**3 + i**3 + (-2 - 5 + 6)*(i**3 + 2*i**3 - i**3) + 167*i**3 + 1061*i**3 + 385*i**3 + (2*i + 2*i - 3*i)*(-1 + 2*i**2 + 1).\nAnswer: 1612*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 12 + 12. Let g(r) = 2*r + 3. Let p(c) = 2*c - c + 2*c + 2 - c. Calculate x*g(u) - 4*p(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 9*z + 3. What is the tens digit of t(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2098224 = b, 76186 = b + 2*l + 2174412. Let s = b + 435228. What is s rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 7. Let j be c(9). Suppose -j*y = -0*y. Solve y = -v - 5 + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 4 + 20 + 36)*((-4*s - 5*s + 4*s)*(4*s**2 - 4*s**2 + 2*s**3) + s**4 + s**4 - 3*s**4 + 2 - 2 + s**4).\nAnswer: -20*s**5 - 600*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from vvvvkvvvkvvvvvkkkvk?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*o**2 - 338 + 676 - 338 as w + c*o**2 + b*o and give c.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 132?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 8. Suppose l*t - 10 = -30. Sort -5, t, -1 in descending order.\nAnswer: -1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 + i**2 + 3*i**2)*(i + 4*i + 0*i) + (0 - 1 + 0)*(39 - 39 - 13*i**3) + (i - 2*i + 0*i)*(2*i**2 - 5 + 5) + 2*i**2 - 2*i**2 - i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -33*d**2. Let j(h) = -9*h**2. Give r(j(f)).\nAnswer: -2673*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 h when four letters picked without replacement from jjhhjh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1481514 to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1812, -7230, -16252, -28872, -45084, -64882, -88260, -115212?\nAnswer: -145732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**3 - 9. Let g(a) = -a**3 - 4. Suppose -13*t = 69 + 48. Let u = 8 - 4. Calculate t*g(f) + u*h(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:00 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -0.14 (c) -419 (d) 14 (e) -3 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * -0.502.\nAnswer: -10.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -560, 17, -16 in increasing order.\nAnswer: -560, -16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2023 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t - 34 = 37 + 25 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 111. Calculate the remainder when w is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (8 + (2 - 2 - 0)) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 85\/10 - 3\/2. Suppose -4*z = -3 + b. Let j = 4 - z. Sort -10, j, -2 in descending order.\nAnswer: j, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -12*x**3 - 5. Let k(y) be the third derivative of -5*y**6\/24 - 11*y**3\/6 + y**2. Let l(t) = 13*j(t) - 6*k(t). What is the derivative of l(h) wrt h?\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 0. What is the remainder when (-2)\/(-6) + (-145)\/(-15) is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/3 - -1\/3. Let p(s) = -s**2 + 3*s + 5. Let t be p(4). Which is the biggest value? (a) 0.1 (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 11. Let r(d) = -157*d - 15. Let s(x) = -6*b(x) + r(x). Differentiate s(o) wrt o.\nAnswer: -151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4 = h - 12, -13 = y + 2*h. Let w = -0.356 + -0.044. Put -3, y, w in decreasing order.\nAnswer: w, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -p - 2. Suppose 8*x - p = 28. Suppose 0 = -l - x*r + 111, -2*l + 486 = 2*l + 2*r. What is the remainder when l is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972804919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -824262, -824268, -824274?\nAnswer: -824280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -21280?\nAnswer: -21285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a (base 11) in base 4?\nAnswer: -2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/63044 and -53\/23231714.\nAnswer: 46463428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 32*o - 113. Let n be v(7). Suppose -7*q + n = -2*q + 4*p, -q - p = -23. Solve s = 5*h - s + q, -2*h - 19 = 3*s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g = 16*g + 13*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1007 - 8*z - 2048 + 8*z + 5*z + 1041 + 19*z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -752 = f - 9*f. What is f rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51999.17mm in nanometers?\nAnswer: 51999170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1581812 - -2247979. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1023\/(-154)*7 + 18 + -1\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/(-608))\/(-1*(-4 + 5)\/7)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35175.69 litres in millilitres?\nAnswer: 35175690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4547b5a + -13?\nAnswer: -4547b6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Suppose 5*w - 27 + 12 = 0. Solve j - 6*j = -y*l - 4, -w*j + 6 = -3*l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -55*t**3 - 4*t**2 + 24*t - 3. Let g(u) = -46*u**3 - 4*u**2 + 22*u - 3. Let k(b) = 5*d(b) - 6*g(b). Determine k(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (-10 + 5))*1. Suppose 3*k - t*k - 4*q + 20 = 0, k + 4*q - 11 = 0. Solve 5*f = 4*m + 10, 0*f = k*f + 3*m - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**3 + 4*g**2 + 2*g + 2. Let c = -3 - -5. Let h(o) = -o**3 - o - 1. Let r(l) = c*h(l) + t(l). Find the third derivative of r(z) wrt z.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36404, -3, -5929 in ascending order.\nAnswer: -5929, -3, 36404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = -14*x + x. Let u(j) = 3*j + 52. Let k be u(x). Let v = -1572\/7 + 225. Which is the smallest value? (a) -3 (b) k (c) 0.3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30.20149 - 30.2. Round u to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-10 - 2) + 7 - -255 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/56 - (60\/(-14) - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5716849729 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*j - 4)*(3*j**2 + 3*j**2 - 5*j**2) + (4*j - j + 6*j)*(-3*j**2 + 3 + 50*j - 48*j + 13*j**2).\nAnswer: 88*j**3 + 18*j**2 + 27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -372\/2249 - -2\/173. Suppose -3*j - j = 0. Is j greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 6:54 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*k**3*w**3 + 869*k**3 - 4*k*w**3 wrt w?\nAnswer: 12*k**3*w**2 - 12*k*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*h - h**3 - 110*h + 129*h - 196*h - 200*h.\nAnswer: -h**3 - 854*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2135 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5\/2, 3\/88, 2\/13, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -14. Suppose 0 = o*s + y - 758, -4*s + 4*y = s - 1235. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)\/(x**(2\/15)\/x))**(-19)*(x**(-2\/7)\/x**2)\/(x**(-1\/9)*x**(5\/4)) assuming x is positive.\nAnswer: x**(22817\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 14173.25 and -7.\nAnswer: 14166.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 16. Sort 1, a, -2 in decreasing order.\nAnswer: a, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -20. What is the closest to h in 1\/3, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in months?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116413696 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-29)\/(-87) - 1810\/(-15) is divided by 70.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16376 = -22*v + 20836 + 60512. What are the prime factors of v?\nAnswer: 2, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -8. Let r(k) = -4*k**2 - 17*k - 1. Let c(v) = 9*v**2 + 35*v + 1. Let x(p) = 2*c(p) + 5*r(p). Let s be x(z). Is s < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*d - 5 = 0, -31*d + 33*d = j - 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from xffvx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/75 of a minute?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2 - 33*l. Let p be h(-11). Which is smaller: -17\/37 or p?\nAnswer: -17\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235293?\nAnswer: 139, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w = -19*w + 48 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67677182*t - 3 + 3 + 0.\nAnswer: 67677182*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/7 and 47\/976.\nAnswer: 6832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.26 (b) -4 (c) -0.118 (d) 8 (e) -6 (f) 4 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22156*o**4 - 107695*o**2 wrt o.\nAnswer: -531744*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 times 0.939458\nAnswer: -7.515664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.105 rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -18*v**4 - 59\/4*v**3 + 35\/2*v**2 + 1\/2 + 20*v**5 - 21\/4*v = 0.\nAnswer: -1, 1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d + 9. Let w be f(0). Suppose 5196 = 3*i - 3*k, -6*k + w*k + 15 = 0. Let y = 6740 + i. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 3 - ((9 - 4) + (-78 - -79))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*d - 13. Suppose -d*l - 3*m + 14565 = 0, -4*l = -3*m - 226 - 19194. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -812673 divided by -27?\nAnswer: 30099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 16 + (4 - (-11 - -31)) + 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) 4\/5 (c) 871\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -2 + 0*a + 0*a**2 + 2\/3*a**3 - 1\/4*a**4. Find the third derivative of u(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8734165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence puxx when four letters picked without replacement from {r: 1, x: 3, v: 3, p: 1, u: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-2)*41\/(3608\/(-464)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/639 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 2*h + h)*(41*h - 390 + 390)*(1 - 2 + 3)*(181*h - 125*h - 123*h).\nAnswer: -16482*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = 30*c - 40*c. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 8 = 4*x. Let h = 3 - 1. Let q(t) = -t**3 + 0*t**2 - 7*t + 6 + 3*t**2 + t**h + 2*t**2. Determine q(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 3*m**7\/70 + m**6\/120 - m**4\/24 + m**3\/3 + m**2 - 4. What is the second derivative of f(t) wrt t?\nAnswer: 108*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3269.7 - 1626056332\nAnswer: -1626059601.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -5*d - 53. Let v(h) = -h**3 - 19*h**2 + 19*h + 21. Is 41 a factor of v(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 34. Sort i, 0.4, 1\/5.\nAnswer: i, 1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.80801 millimeters to kilometers.\nAnswer: 0.00000580801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5741137037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 1 - 1. Let x(s) be the second derivative of -s**4\/6 - 4*s. Calculate x(d(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*c - 8*c = 1822569. List the prime factors of c.\nAnswer: 3, 7, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -145*t + 9222. What is the least common multiple of b(42) and 2088?\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -45, -66, -89, -114, -141, -170?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -13 - (-1 - -2) - (11 - 5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 705450858 a multiple of 554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21640 - 21644. Let y = -84\/5 + 17. What is the third smallest value in -1\/2, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*c = 368*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 - g**2 + g**3 - 6*g**2 + 3*g**2 = 0. Calculate g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 8 - 9 - p**2 + 5. Let n(c) be the second derivative of 4*c**3\/3 + 27*c. Determine n(d(v)).\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-6)*4\/(-20))\/(10\/220).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w + 2*w**2 - 2*w)*(-3837 - 77*w + 3837 + 2*w**2) to l*w**3 + f*w**2 + i*w + p + k*w**4 and give l.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 - 3*i**2 + 4*i + 30. Let w be q(-4). Let z = 164 + w. Solve z*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 81310*s + 325320.\nAnswer: -5*(s - 4)*(s + 16266)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a millennium in decades?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*v + 869 + 4622 + 1090 + 174 = 0 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, 5, -112 in increasing order.\nAnswer: -112, -6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 6:48 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 26. Solve -114*s**2 - 6*s**3 - 50*s - 3*s**5 - 53*s**3 - g*s**3 - 24 - 34*s - 24*s**4 = 0 for s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 5 = -d - 3, 2*d + 112 = 96 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 6:01 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -8*s + 7. Determine i(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 + 18 + 2*u**3 - 19 - u. Let n(x) = 2*x**4 - 4*x**3 + 53*x**2 - 5*x - 5. Let w(a) = -n(a) + 5*z(a). Find the third derivative of w(m) wrt m.\nAnswer: -48*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/33 and -73\/501.\nAnswer: 5511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 211*p**7\/210 + 163*p**3\/2 - 636*p**2. Find the first derivative of o(l) wrt l.\nAnswer: 844*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 635 and 24?\nAnswer: 15240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3257672 (base 9) to base 14\nAnswer: 33810c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 286, 4968, 17668, 42394, 83154, 143956, 228808?\n\"Answer: 668*x**3 + x**2 + 3*x - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21340466 (base 7) to base 10\nAnswer: -1825004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*z - 22*z - 5*z)*(0 + 2 - 3)*(-3 + 0 + 0) + (6 - 4 + 0)*(5*z + z - 4*z).\nAnswer: -197*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -140*w - 1945. Give q(-14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*h - 2*v, v + 4 = -0. Suppose a = -5*l + 2, 0*l = h*l + 5. What are the prime factors of (a + -28)*(-2)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41218080 and 320?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 568?\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3543 and 1052260371.\nAnswer: 3543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 4*w + 7. Give t(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 418074 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjj when three letters picked without replacement from wqzqzwzjwzzqj?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(1 + 1\/(-3)). Suppose -1302 = -22*a - 70. Suppose -11*l = -a + 56. Sort v, 2, l, 3 in ascending order.\nAnswer: v, l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -19*z - 26. Suppose -17*k = z*k - 840. Let l(n) = n. Let y(g) = 2*g**2 + 8*g. Calculate k*l(j) - 5*y(j).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*1)\/((-6)\/80*(-976)\/183)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -59141061.8 to the nearest 10000.\nAnswer: -59140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -150 (base 9) to base 15\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-780)\/(-24)*27\/((-405)\/12)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/4 and (145131\/(-16142) + 9)*2?\nAnswer: 4612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-3)*3\/14?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1599, -1816, -5231, -8646, -12061?\n\"Answer: -3415*x + 5014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 449512 to the power of 1\/2, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w + 12*w = -450. Suppose 50 + w = l + 3*z, 2*z - 4 = 0. Calculate the remainder when 550 is divided by l.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 - 5*w**3 + w**2 + 40*w**4 - 3 - 38*w**4 to q*w**3 + b*w**4 + h*w**2 + t*w + l and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y + 0*y)*(0*y + 3*y - 2*y) + (-4*y + y + 2*y)*(-2*y - 2*y + 5*y) + 2*y**2 - 2*y**2 - 6*y**2 + y**2 + 0 + 0.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {y: 1, x: 2, c: 7, o: 2}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -515?\nAnswer: -3\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/206 - -661\/2472. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 8*j**3\/3 + j**2\/2 + j + 266. Determine u(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2865, -11438, -25719, -45702, -71381?\nAnswer: -102750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/6, -7\/4, -1\/6?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**4\/6 - d**3\/6 - 46*d**2 + 36. Let k(z) be the second derivative of w(z). Determine k(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26701 - -26700.2. Let s = 23\/42 - 5\/7. What is the closest to -2\/5 in -2, c, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 44*i - 13*i + 186 - 36*i in the form s*i + t*i**2 + v and give v.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31970 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 3030?\nAnswer: -3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l - 3*b + 3, -5*b = -4*l - 5. Let k be l\/(1*-3 - -1). Suppose k = m - 0*m + 3*q, -5*m = q - 70. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*g**2 - 408*g**2 - 85*g**2 - 708*g**2.\nAnswer: -958*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y. Let k(x) = -2*x**2 + 58843*x. Give k(f(t)).\nAnswer: -8*t**2 - 117686*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1. Let d(n) = -n**3 + n - 6. Let l = -68 + 26. Let j = l + 72. Suppose -4*u + j = -9*u. Calculate u*t(b) + d(b).\nAnswer: -b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*b - 70, -5*w = -2*b - 4*w + 43. Let v(g) = -38*g - 13 + 31 - b. Let u be v(2). Round u to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340*l - 336*l + 3 = u, -2*u = -l + 1. Let i(m) be the third derivative of m**6\/24 - m**5\/60 + m**4\/24 + m**3\/6 + 3*m**2. Give i(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r - 8. Let k(c) = -c. Let v be (-2)\/(-3) + (34\/(-6))\/(-17). Calculate v*s(m) + 6*k(m).\nAnswer: m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -g + 2*r, 3*g - 5*r + 0*r = 25. Let y(m) = -m**2 - 3*m + 6. Let o = 1 - 6. Let b be y(o). Sort g, b, 5 in descending order.\nAnswer: 5, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (-28)\/(-8))\/((-75)\/30).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38398 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9922988263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/17 + -8\/357. Let p = -5\/273 + v. Which is the smallest value? (a) -1\/2 (b) p (c) 0.4 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106215\/(-2)*456\/(-570).\nAnswer: 2, 3, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 7*l**2 + l + 1. Let g be k(7). Suppose 4*h + 2*o - 14 = 8*h, -2*h = 4*o - g. Let y = 10 - h. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5035 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20582, -26882, -33168, -39434, -45674?\n\"Answer: w**3 + w**2 - 6310*w - 14274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n - 13. Let u(x) = 2*x + 7. Let q(k) = 3*m(k) + 5*u(k). Let d be q(-3). Let l = d + 10. What is the least common multiple of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 37 = 4*w - 4*n, -4*w = -3*n + 29. Let m = -18.84 + 19. Let r = -1.16 + m. What is the biggest value in r, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.707 and -0.1.\nAnswer: 0.8707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1515877.\nAnswer: 11, 19, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003901179063 to 7 decimal places.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23859 - 23858.989999. Let i = 0.01 - k. Round i to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 67\/(-201)*(-9)\/(-4). What is the second smallest value in 0.1, -0.2, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -11. Let y = 131 - 85. What is the remainder when y is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + -90. Let s = -15 - u. Do -2 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*a - 4*j + 12, -5*a = -4*j - 24. Let f(p) be the first derivative of p**3\/3 - 9*p**2\/2 + 10*p - 1. Let z be f(a). Are z and 2 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtrzereftztereeztt. Give prob of picking 1 e, 1 t, and 1 z.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**3 - j**2 - 3*j - 3. Let y be q(-2). Let l = 6 - y. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/57, -3, 1, 0.3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 66*p + 1074. Let z be x(-37). Let o(r) = 7*r**3 + 4. Let f(h) = -h**2 + 1. Give z*o(b) - 2*f(b).\nAnswer: 7*b**3 + 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-132)\/792).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {h: 2, m: 1, f: 6, p: 6, y: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 337767.\nAnswer: 33776.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 0.9 (c) 3673\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2004841*-90\nAnswer: -180435690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2356856 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1*(-36)\/(-96))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 244601?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*f - 2*f - 6, -5 = -3*o + 2*f. Let h be 2 + (o - -2) + -2. Is h equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 - 29*z**2 + 273*z - 327*z - 70*z**2 + 0 in the form m*z + i + k*z**2 and give m.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 10*w - 13. Let v be o(-8). Solve v*x - 7 = 2*u - 0*u, 4*u + x = -7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 39*o + 249. Let w(m) = 4*m + 25. Let r(f) = 2*b(f) - 21*w(f). Let c be r(-6). Calculate the least common multiple of c + (-2)\/(4\/2) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 3. Suppose 0 = 3*s + 907 - 2755. Let h(p) = 616 - s + p. Determine b(h(m)).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 489 - 1145 - 219 + 4829*v**3 + v wrt v?\nAnswer: 28974*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, v: 17}. Give prob of sequence vi.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 10:44 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 294638261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**3\/3 - p**2 + 2*p - 21. Let l be k(2). What is the second derivative of 27*a**l - 9*a - 6*a - 10*a - 3*a wrt a?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77.165 + -0.165. Let y = o + -76.99876. What is y rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 585 = -326 - 304. What is the greatest common factor of o and 34308?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*q = -607*q + 445*q - 41300 for q.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 2:18 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1479*p - 1490*p = -187 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131902 is divided by 43658?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r + 1684 = 2*c, 3*r = c - 844. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 38*s**4 + 16*s**3\/3 - 287. Find the third derivative of l(a) wrt a.\nAnswer: 912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**2 - 13029163*c - 369896 wrt c?\nAnswer: 2*c - 13029163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 3*i - 5 = 14*j, -4*j - i + 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 - 7039751.\nAnswer: -7039752.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15107629?\nAnswer: 67, 443, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 131\/2 - (-1)\/(-2). Suppose -p - 3*a + 12 = 4*p, 3*a - 6 = -3*p. Suppose -p*u - k = -4*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 20 = -h, -k - 30*h = -25*h + 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.520738*2.1\nAnswer: -1.0935498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2 and -127\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a**3 + 3*a**2 + 6*a - 7. What is the tens digit of o(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(-33)*(-12 + 0). Solve 0 = -2*p + 2*c, -d*c = 5*p - 3*p + 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 52448424*l - 180128. Let q(b) = 3494*b - 12. Calculate 90064*q(v) - 6*u(v).\nAnswer: -6928*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -2, 53 in increasing order.\nAnswer: -2, 1, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 12 = -2*h. Suppose -5 + 65 = 3*s + 5*j, -h*s = j - 72. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 617 divide 289277982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/(-54))\/(2\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 22)*(-4*o**5 - 3*o**5 - 2*o**2 + 6*o**5).\nAnswer: 22*o**5 + 44*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from {i: 5, f: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 588066 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26014 + -78043\/3. Which is the nearest to 0.2? (a) 0 (b) -0.4 (c) t (d) 0.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from bzbhbzfbh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -249 and 4.\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6625, -26406, -59343, -105436, -164685?\n\"Answer: -6578*z**2 - 47*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 348553746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-3) + 3 - 0. Solve 0 = -3*b + n*x - 9, 9*x - 4*x = -4*b - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2 - 3 + 2. Let s(q) = -q + 12. Let k(g) = -4*g**3 + 2*g**2 + g. Let u be k(2). Let z(l) = u*t(l) + 2*s(l). What is the derivative of z(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s + 27 = 165. What is the units digit of ((-616)\/(-15) + s\/(-9))*15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + -81. Let t = -106.546 - -233.4844. Let g = n + t. Round g to 3 dps.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, b: 2, t: 2, z: 4}. Give prob of picking 2 z and 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 19361424\nAnswer: -1\/6453808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 7. Let l be s(6). Let i be ((-18)\/(-21) - l)\/1. What is the closest to -1 in 3, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5935 and 8?\nAnswer: 5927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529*l**2 + 1090*l**2 - 544*l**2.\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - o + 2 - 4, 0 = 3*c - 3*o - 6. Let y be 8\/20 - (-7)\/(-5). Sort c, y, 1.\nAnswer: y, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(80) - (1 + sqrt(605)).\nAnswer: -7*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/423775 and -111\/700150.\nAnswer: 16103450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2\/4 - 41*o\/2 - 657\/4 = 0. What is o?\nAnswer: -73, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 3, -17\/2, 2, 0.4?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.5 (c) 0.0236\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36879491?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from {l: 2, r: 1, w: 1, m: 3, j: 3, y: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 10101001001110010?\nAnswer: -10101001001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36455102 + -146?\nAnswer: 36454623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.87 and 6.\nAnswer: -5.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.2, -84, 3\/2?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*z**3 - 2*z + z - 4*z - 8*z.\nAnswer: -58*z**3 - 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 975820749 - 975820749 + 33*c**3.\nAnswer: 33*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3 - 40*y**2 - 508*y + 544 = 0. What is y?\nAnswer: -8, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -3*p + 294*s - 291*s + 69, -4*p + 2*s = -42 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(18)\/(sqrt(45)\/sqrt(5) + sqrt(9)) + (-2*sqrt(22))\/sqrt(11) + (sqrt(18) - sqrt(162)*2))**2*1.\nAnswer: -33*sqrt(2) + 1091\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6712 or 1\/2?\nAnswer: 6712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306746, -1226943, -2760606, -4907735, -7668330, -11042391?\nAnswer: -15029918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 0 + 0)*(5*h + 0*h - 3*h)*(-67*h + 136*h - 67*h - 8).\nAnswer: -4*h**3 + 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -15*j + 4. Let x(w) = -90*w + 25. Calculate -25*a(n) + 4*x(n).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -115, -54, 117, 458, 1029, 1890?\n\"Answer: 10*t**3 - 5*t**2 + 6*t - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/798 and -23\/1368?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m - 4*d - 30 = 0, 3*m = -4*d + 45. Let k(t) = -7*t - 3 - m*t - 14*t + 2. Is 15 a factor of k(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**5\/2 - v**4\/12 + 6*v**3 + 24*v**2. Let o be d(14). Suppose 0 = -4*g - 2*h + o, -h + 6*h = 2*g - 2932. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 338875455655.\nAnswer: -338875455655.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -594 + 595.963. Let o = 0.063 - g. Let l = o + 2. Which is the second biggest value? (a) 2\/17 (b) l (c) 2\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**4\/4 - 4*c**3\/3 + 5*c**2\/2 - 2*c + 4. Determine b(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 27. Let l = p - -21.9. What is the third biggest value in l, -2\/5, -1\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 + 21*t**2 + 5*t + 9. Let n be k(-9). Find the second derivative of 137*r + 4*r**4 - 18*r**5 + 180*r - n*r + 0*r**4 wrt r.\nAnswer: -360*r**3 + 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(24)\/sqrt(2))\/(-1*sqrt(144)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2213196 to the power of 1\/2, to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 14600194 to the nearest one hundred thousand.\nAnswer: 14600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9411 - 0.0589. Let d = -17 - -16.87. Let j = d - -8.13. Which is the second biggest value? (a) j (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c95 (base 13) in base 6?\nAnswer: 13542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145976076 to the power of 1\/2, to the nearest integer?\nAnswer: 12082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 1. Let j be r(2). Suppose 5*l - 25 = 5*p, j*l - 4*p = -0*l + 18. Let h = 65 - 70. Which is the nearest to -1? (a) l (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/sqrt(225) - sqrt(19)*3*-2) + 5*(sqrt(19) + 0)*-5*-2.\nAnswer: 281*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 261\/10 + -51\/2. Let q = 0.261 + 0.039. Put -0.1, h, q in decreasing order.\nAnswer: h, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77125932.\nAnswer: 2, 3, 13, 18311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand -180*u**3 - 81*u**3 - 13*u**3 - u**3 - u**3 + u**3 + (4*u - u - u)*(-3*u**2 - 2*u**2 + 4*u**2).\nAnswer: -277*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*o + 84*o**2 - 40*o**2 + 13*o - 46*o**2 as q + h*o + r*o**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3906 + 78149\/20. What is the common denominator of q and -13\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (2 - 0\/7) + 6672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 16 - 3*k**2 - 2 + 5 - 91*k.\nAnswer: -3*k**2 - 91*k + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -820 times 532357\nAnswer: -436532740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 397 = 405. Let q = g - 560. Let r be (-6)\/((-60)\/215) - 2\/(-4). What is the highest common factor of r and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 - -75. Does 19 divide 6*-1 + r + 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/1188 and 139\/540.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*z**2 + 128*z**2 - 36*z - 232 - 38*z**2 + 50.\nAnswer: 172*z**2 - 36*z - 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(36) - 2*sqrt(3600) - sqrt(36))\/sqrt(3))\/(4*sqrt(6)*-1 - sqrt(6) - sqrt(486)) + -4.\nAnswer: -30*sqrt(2)\/7 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186244 - 186244 - 39*k**2.\nAnswer: -39*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9))**(-3) assuming v is positive.\nAnswer: v**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 895924810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49887\/4 + 12471. Which is the biggest value? (a) k (b) 3\/8 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 4)*(0 - 2 + 4) + 0 - 2 + 5)*(-b**5 + b**4 - b**4 + (4*b - 3*b + b)*(2*b**2 - 2*b**2 - 2*b**4)).\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -1 + 2\/1. Suppose -5*o = -y*o + 30600000. Round o to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x - 47. Let r(t) = 5*t. Calculate the smallest common multiple of m(12) and r(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010111101110011100 (base 2) to base 4\nAnswer: 1113232130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 242\/15. Let f = 4.6486 - -0.3514. Which is the closest to -0.3? (a) -8 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1. Suppose 119*c - 118*c + 21 = 5*t, -2*c - 3*t + 10 = 0. Let x = 13 + -9. Let p(o) = -2 - x - o + 0. Determine c*p(k) + 6*g(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 2)\/(2\/(-5)). Suppose 3*u - 2*u = l - x, -2*l - 5*u = -24. Suppose -y = -4*i + 1326, -2*y + 341 = i - l*y. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33b (base 15) to base 8.\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*u + 22, 4*f + 0*u = u + 23. Suppose -f*c + 4 = -4*c. What is the remainder when 4 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 7*j + 28. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135.7739307 - 0.1.\nAnswer: 135.6739307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48548873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 0*q - q**2 + 4*q - 1 - 3*q. Let j be o(1). Suppose -c + 9 = j. Solve -r = r + c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s + 41*s = -72, -5*z + 835 = 45*s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -101211200121011?\nAnswer: 101211200121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43785245 is divided by 1684047?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1629247 or -3?\nAnswer: -0.1629247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7720419 less than 1910?\nAnswer: -7718509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157065?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 4 = -4*t. Suppose t*h = 2*h. Factor -1\/4*b**3 - 1\/2*b**2 - 1\/4*b + h.\nAnswer: -b*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 67*n - 179614. Is 35 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/3287001 and -37\/306.\nAnswer: 19722006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 5*d**2 - 4*d. Let v be m(-3). Let r = v + 30. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 14 = -5*o, 4*l = 3*o + 2 + 11. Let w be -1*(-8)\/(-12)*l*-39. What is the greatest common factor of 208 and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111200 = 3*t - 492103. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (3 + -21)) + -24.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*i - 55 = -4154 - 7029 for i.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/2 (b) -4 (c) -497\/747\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*t**2 - 8*t - t**3 + 2*t**4 - 3 + 1 + 17*t**2 in the form d*t + h*t**4 + c*t**2 + k*t**3 + u and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**5 - i**2 - 1. Let l(n) = 9*n**5 - n**4 - n**3 + n**2 + 1103. Let q(d) = l(d) - 2*r(d). What is the third derivative of q(b) wrt b?\nAnswer: 660*b**2 - 24*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17380, 34760, 52138, 69514, 86888, 104260, 121630?\n\"Answer: -p**2 + 17383*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/111 + -200\/1221. Let n be (5 + -2)*(-1)\/3. Are k and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyvddva. What is prob of sequence ddd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 9*w**2 + 7*w - 3. Let v be -1 + 1\/(4\/20). Let z(n) = -n - 2. Let a be z(v). Let q be g(a). What is the greatest common divisor of q and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eighty-eight fifths of a millennium?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.1 + 8.6. What is the second smallest value in -1, h, -33?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -4. Let t be -6 - (-2)\/1 - s. Factor -2*q**2 + 7*q - q**2 - t*q.\nAnswer: -3*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 2*g**2 - 2*g + 1. Let c(b) = b**2 - 5*b - 21. Let a be 1\/((-95)\/50 - -2). What is the remainder when c(a) is divided by z(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/7 - 27386*s**2 + 191700*s\/7.\nAnswer: 2*s*(s - 95850)*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 1:34 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2*(45\/(-10))\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + 8*p - 2*p**2 - 2*p**3 - 177 - 15*p + 6*p + p to q + l*p**3 + g*p**2 + r*p and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 539 in 4, 0, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/9)\/(4\/(-24)). Let j = -245.4 + 245. What is the smallest value in 14, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**14)**21*(x*x*x*x**17)**37 assuming x is positive.\nAnswer: x**467","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4866\/4055)\/(2\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3523, -3525, -3527, -3529, -3531?\nAnswer: -3533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 5, 4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j + 5. Let f be (-227 - 24\/(-8))*(-9)\/12. Let m be (4\/(-3))\/(f\/630). Let v(g) = 6*g - 9. Determine m*t(z) - 3*v(z).\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 141 - 165 = 0. Let i = r + 155. Suppose 3*z - i = -4*t, -z + 4*z = -3. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 6*d - d - 15, -2*f = -2*d - 14. Solve -3*o = -0*o - 15, -f*i + 5 = 2*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**2)\/(j\/(j*j\/j**5*j)))\/(j**6\/(j\/j**13)) assuming j is positive.\nAnswer: j**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 5*x**2 + 4*x + 2. Let a(g) = -2*g**3 - 11*g**2 - 9*g - 5. Determine 2*a(p) + 5*i(p).\nAnswer: p**3 + 3*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 24. Let u = -0.26 - 1.74. Let i be (2 + -1)*2\/(-6). Which is the closest to y? (a) i (b) 0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f. Let p(a) = 627*a. Let u(g) = -2*p(g) - 594*q(g). Let z(y) = -2*y. Determine u(z(t)).\nAnswer: 132*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3828, 16342, 37542, 67428?\nAnswer: 106000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 0.0375\nAnswer: 0.1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1. Suppose 0 = -4*n - y - 23, y - 1 = -0. Let x be -1*1\/((-3)\/n). Let q(r) = -r. Determine x*q(w) + p(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14362 = -83*g + 82*g. Let f = g - 9101. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 10. Suppose -2*b + 2*l + 15 = -3*b, w = -2*b + l. Let j be 2\/b + (-2776)\/(-14). What is the highest common factor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -144 - -371. Let q = o + -212.5. Round q to 0 dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -3, 5, -2 in decreasing order.\nAnswer: 30, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 214*l**3 + 4*l**2 - 34*l + 24. What is the units digit of z(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 0 + 1\/30*n**5 + 0*n**4 - 4*n**2 + 0*n + 0*n**3. Let w(z) = -2*z. Determine a(w(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 7:28 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two fifteenths of a hour in seconds?\nAnswer: 5280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2419 = 12*j - 14*j - 5*w, 2*j - 2437 = w. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5986*w**2 + 392*w**2 + 928*w**2 + 1755*w**2 - 8*w**2 to the form a*w**2 + d + o*w and give a.\nAnswer: -2919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (306\/85)\/(4*(-5)\/(-50)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j. Suppose -2*f - 3*f + 6 = -3*h, -h = -2*f + 2. Let t be b(f). Solve 4*o = -t + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30210 + -23?\nAnswer: 30121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*m - 2*m + 6*m)*(2*m + 2 - 2).\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(4) - (sqrt(400) - 5*sqrt(400)))\/(sqrt(12)\/(2*sqrt(6))) + -1)*1)**2.\nAnswer: -492*sqrt(2) + 40347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6460.\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + sqrt(300) - (sqrt(300) - (-1 + sqrt(300) + -4))**2.\nAnswer: -22 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(9\/2)*106\/(-1166)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1708 and 5138.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1178837, 4715342, 10609521, 18861374, 29470901, 42438102, 57762977?\nAnswer: 75445526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 377.1 to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 m, and 1 w when four letters picked without replacement from twfmhhkmmfff.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57472*n + 11 = -57469*n + 5*h, -5*n - 3 = -3*h + 6*h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 24409748.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 1:39 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86 and 129.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21657, -43317, -64977, -86637, -108297?\nAnswer: -129957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -551, -554, -569, -602, -659, -746, -869, -1034?\n\"Answer: -q**3 + 4*q - 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 a factor of 125453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/3 - 2053432*t\/3 + 684478.\nAnswer: -2*(t - 1)*(t + 1026717)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57973794 by 2.\nAnswer: -28986897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -2\/3, -2\/7, 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12212122 (base 3) in base 6?\nAnswer: 31455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10538873, -21077737, -31616601, -42155465?\nAnswer: -52694329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -288*u + 7*u**2 + 288*u as i*u + c + k*u**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -925724, -925728, -925732?\nAnswer: -925736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 18. What is the third derivative of -62*q + 25*q + 24*q - 71*q**5 - n*q**2 + 15*q wrt q?\nAnswer: -4260*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 111348455 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*a*t - 96*a - 308645*t**4 - 5232 wrt t.\nAnswer: -9*a - 1234580*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03068 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**2 - 2. Let x = -3 - -5. Let i(j) = 3*j**2 - 3*j**2 - 2*j**x. Give b(i(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0 (b) 3 (c) -2\/5 (d) 609\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46807255 and 2365?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.62*-0.136.\nAnswer: 1.71632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 2*s**2 - 5. Let o be t(3). Let m = 6 - o. Solve -4*a - m*z - 4 - 10 = 0, 0 = -3*a + 2*z - 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 5*t + 5*x - 85, 2*x = -8. What is the remainder when t is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11e (base 15) to base 2.\nAnswer: -11111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.152, -0.42, 0.3, -10, -5 in descending order.\nAnswer: 0.3, 0.152, -0.42, -5, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 67117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1039\/1691?\nAnswer: 1039\/1691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.15, -3, 51.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -267\/8? (a) -1 (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41595 is divided by 585.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.396 + 0.096. Suppose -11*g + 18*g = 10*g. What is the second biggest value in -2\/3, j, -0.5, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45875422 and 2708512.\nAnswer: 734006752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 1203?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01161 to four dps.\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-12) - (-665)\/(-57). What is the fourth biggest value in 3, 6, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 85\/15)*(5 + -2). Let t(p) = 22*p + 1. Let r be t(1). Let l = c + r. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -765918 - -365918. What is q rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 408*s**2 - 149*s**2 - 4*s**4 - 1 - 289*s**2 + 5*s**3 to n*s**3 + g + f*s**4 + l*s + z*s**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 46.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*l**3 - 28430*l**2 + 37880*l.\nAnswer: 5*l*(l - 1894)*(3*l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/16000 and -109\/8000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 1\/3*(-1701)\/108?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 5*x - 35. Let c be v(-6). Let w(u) = -u**3 - 43*u**2 - 81*u + 40. Let z be w(c). What is the nearest to z in -4\/5, 4, 0.2, -2\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5027 + -380. What is p rounded to the nearest one hundred?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {d: 4, m: 2, e: 1, f: 2, w: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*b = 110, 74*s - 73*s + 2*b = 20. Calculate the least common multiple of 370 and s.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**2 + 9948 - 9948.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.14 + -0.14. Which is smaller: i or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-20)*j*j)**(3\/28)*(j**(-1))**(-8) assuming j is positive.\nAnswer: j**(173\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1726.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**3\/17 + 1830*p**2\/17 + 20324*p\/17 + 44448\/17 = 0.\nAnswer: -8, -3, 926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 14*c + 50. Calculate u(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 288*w - 249*w + 234. Let t(x) = -4*x + 10. Let s(u) = 5*u - 11. Determine w*t(y) - 5*s(y).\nAnswer: -y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 33*d**2. Let i(v) = 106*v**2. Give g(i(a)).\nAnswer: 370788*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21493233702 - -19.2.\nAnswer: -21493233682.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770499 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, -3, 0, 27, 4, -2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q - 32. Suppose -t - 3 = v + 2*t, -2*t = -3*v + 35. Calculate the least common multiple of q and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(216) - -3*sqrt(216))\/sqrt(12))\/sqrt(6)*-1.\nAnswer: -4*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1013 or 0.1?\nAnswer: -1013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 81657821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w + 15 = 24*w. Let a(n) = 70*n + 8. Let l(u) = 23*u + 3. Let x(c) = w*a(c) + 8*l(c). Let i(h) = h**2. Calculate x(i(r)).\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41516 (base 7) to base 10.\nAnswer: 10205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 582, 2209, 4850, 8505, 13174?\n\"Answer: 507*w**2 + 106*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853794517.\nAnswer: 2593, 329269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 6\/5, 576, 0.5, 5, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3. Suppose 4*o = -a*o. Suppose 3*g - 5*l - 4 = o, g + 5*l = -g + 11. Let m(k) = -6*k**3 - 3*k. Let s(n) = -5*n**3 - 2*n. What is g*m(h) - 4*s(h)?\nAnswer: 2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 10*u - 50 = 0, 3*q + 75*u = 71*u - 50 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12793149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**2 + 4. Let j(c) = c**2 + 1. Let x(v) = d(v) - 4*j(v). Let y(u) = 10*u**2. What is x(y(b))?\nAnswer: 100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 540512, 1081025, 1621542, 2162063, 2702588, 3243117?\n\"Answer: 2*j**2 + 540507*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n - 15 = 0. Let h(p) = -p**3 - 5*p**2 - 2. Let j be h(-5). Is j >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -415 - -418. Suppose 20 = 4*s + m*x, 5*x - 7 + 3 = -3*s. Calculate the remainder when 119 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*k - 98 = -147*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*w - 6311 - 1569 = 0 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1085124 and 29\/57.\nAnswer: 20617356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/20*(-35175)\/6. Round z to the nearest one hundred.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.52, -55, -1\/4 in descending order.\nAnswer: 3, 0.52, -1\/4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 48141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 0*j**3 - 1\/10*j**6 + 0 - 4*j - 3\/20*j**5 + 0*j**4 + 0*j**2. Factor d(t).\nAnswer: -3*t**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-1)*(11 - 10). Let b(y) = y**2 - 5*y + 3. Let n be b(a). Is -3 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -744 divided by 24\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 66880000 rounded to the nearest 1000000?\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164586920 a multiple of 1085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3353300 rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -44*f**2 + 3*f**5 + 27*f**4 - 76*f**2 - 49*f + 472 + 18*f**2 + 42*f**3 - 397 + 4*f = 0?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (27 - 21) + 69 + -23\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*t**4 - 28*t**3 + 405*t**2 + 1 wrt t.\nAnswer: -360*t - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15223 - -3653839\/240. Let j = k + 13\/48. Is 3 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.361 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5 = 5*i - 0, -s + 13 = i. Let p = -17 - -32. Suppose -o - p = -4*o. What is the greatest common divisor of s and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4437*m - 65 + 61 - 4443*m. Let h(t) = -11*t - 9. Calculate -5*c(n) + 2*h(n).\nAnswer: 8*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 685.4?\nAnswer: 685.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -47 - 67. Solve -4 = 4*f + 2*c, 0*f - 4*c - d = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -7 + 1\/6*k**3 - 1\/20*k**5 - 3\/2*k**2 + 5*k - 1\/3*k**4. Determine r(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**5\/60 - 5*y**3\/6 - 28*y**2 - 1. What is w(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 2*z - 1 + 5, -5*z = 4*b - 32. What is the second derivative of b*x - 20*x**2 + 10*x**2 - 11*x**3 + 10*x**2 wrt x?\nAnswer: -66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 2, -48, -5, 1, 3 in ascending order.\nAnswer: -48, -5, -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 3*i + 8. Let q be f(7). Let l = -414 - -438. Suppose -3\/2*n**4 - q*n + 9*n**3 - l - 3\/2*n**2 = 0. What is n?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-798) - 1204\/(-133)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-32)*9\/((-27)\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 299 or 189\/535?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2 - 3*s + 5 + 6. What is g(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**6\/660 - z**5\/165 - z**4\/132 + 2*z**3\/33 - 2*z**2. Let v(g) = 0. What is g?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22*(-23)\/((-644)\/42))\/((-16)\/16)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 c when four letters picked without replacement from {j: 2, r: 4, d: 8, c: 3}.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z - 10. Let y be c(8). Suppose 21 = 3*i - y. Suppose -2*p - 4 = 2*l, -4*l + 3*p - i = -29. What is the lowest common multiple of l and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2 - 4 - 3*i - 5 - i**2 + 9 = 0. What is i?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3653 - 25*f**3 - 3653 + (f**3 - 3*f**3 - 2*f**3)*(3 - 3 - 1) + 2*f - 2*f**3 - 2*f.\nAnswer: -23*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 0 + 0*j - 39\/2*j**3 - 3*j**2 - 18*j**4 + 81\/2*j**5 = 0.\nAnswer: -1\/3, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34796 + -56478. Let u = p + 51683. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 477*y - 2888. Calculate o(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 7596*c + 7592.\nAnswer: 4*(c - 1898)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 26*l - 373. Let i be x(-13). Is -711 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3\/8 + 33*c**2\/8 - 21*c + 45\/2 = 0. Calculate c.\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**5 + 1264*x**4*y**3 + x**2*y - 1665*x*y**3 wrt x.\nAnswer: -180*x**2 + 30336*x*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -91. Is 16 a factor of 72\/s*(-150)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 20*q.\nAnswer: 5*q*(q - 2)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4ac3 (base 13) to base 7\nAnswer: 43004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -862.14686.\nAnswer: -862.44686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.5075468 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 53*r**2 + 4*r - 13. Suppose g - 5*k = 3*g - 67, 0 = 4*g + 5*k - 129. Suppose 6*p + 7 - g = 0. Is w(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -406\/3 or -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -11021021?\nAnswer: 11021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3*sqrt(1053)*-1 - (sqrt(1053) - -3*(1*sqrt(1053) + sqrt(1053) - sqrt(1053)))))**2.\nAnswer: 90*sqrt(13) + 1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -250 - -357. Let y = d + -72. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*j - 62. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -1\/2*m**3 - 1\/4*m**4 + 1\/4 + 1\/2*m + 0*m**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 3.3, -412, -0.08, 0.\nAnswer: -412, -0.08, 0, 1\/8, 3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13775 + -15312. Is y at most -1537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9779, -1, 3, -903, -5 in ascending order.\nAnswer: -9779, -903, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 71 in 1, -4, 5079, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -27 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/j**(1\/7))\/j)\/j**23*((j**(-2\/17)\/j)\/j*j)\/j**(-32))**(-43) assuming j is positive.\nAnswer: j**(-44720\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1272\/67 - -69563\/3350. What is the common denominator of (-265)\/(-50) + (-3)\/4 and a?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 992.1371 litres?\nAnswer: 992137.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1386633\/40 + 34664. What is the common denominator of d and -7\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 50*f**2. Let x be q(-1). Suppose -2*j - 7*n = -2*n - 23, -5*j - 5*n = -x. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 305, -5, 11, 4 in descending order.\nAnswer: 305, 11, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 8\/5*v**2 - 2\/5*v**3 - 8\/5*v.\nAnswer: -2*v*(v + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6541 minus 34.4?\nAnswer: -6575.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 684 and 2052.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -108 - -170. Let l = -50 + i. Differentiate -l - r + r + 8*r + 20 wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -103 + 22?\nAnswer: -d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1392, 2360, 3316, 4254, 5168, 6052, 6900, 7706?\n\"Answer: -m**3 + 975*m + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(((z**(1\/14)*z)\/z)\/z))\/z)\/((z*z*z**(-4))\/z) assuming z is positive.\nAnswer: z**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.211 and -78.\nAnswer: 172.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.27 - 0.026. Let t = f + -0.704. What is the nearest to 1 in t, -5, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*p + 30*p + 10, -5*k - 2*p - 19 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.44 + 0.84. Let f = 1 - 0.8. Let h = -6.24 + 1.24. Put h, d, f in descending order.\nAnswer: d, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095128374 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1336 (base 9) to base 8.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 41529363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 5367.63.\nAnswer: 1073.526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33126.\nAnswer: 2, 3, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Let j(g) be the second derivative of g**4\/12 - 3*g**3\/2 + 3*g**2\/2 + 2*g. Let s be j(9). Solve k = 2*m - r - 5, s*m - 4*r - 3 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*v - 457 = -2*v, -117 = -c - 4*v. Let q be 200\/(-32) + (-3)\/4. Let j = c - q. What is the highest common divisor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25241*y**6 - 286*y**5 - 32521*y**2 + 2337 wrt y.\nAnswer: -3028920*y**3 - 17160*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6603575 (base 8) in base 9?\nAnswer: 3288800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s - 1. Let a be h(-3). Let p be 73\/3 + a\/30. Suppose -4*c + 4*o + p = 0, -2*c = -0*c - 4*o - 16. Solve -y = c*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.504 (b) 4 (c) -0.6 (d) 9 (e) 5 (f) -1 (g) 4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2842, -5686, -8530, -11374, -14218?\n\"Answer: -2844*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (48\/108)\/(4\/18). Suppose -3*s = -0*p - k*p - 22, 0 = -4*s - 2*p + 20. Let i be ((-10)\/s)\/((-4)\/(-12)). Let a(g) = -g**3 - 5*g**2 - 6. Give a(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 588 divided by 2.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/(-16)*-2*(-33580)\/365?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 5*q**2 + 1. Let p be f(-5). Let i be (-13 - 1918\/(-147))*(-1)\/3. Which is smaller: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 - 3 = 0. Suppose 10 = -5*c + 2*d, 4*c + 8 = -0*c - d. Sort 3, c, m, 5 in decreasing order.\nAnswer: 5, 3, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w + 19. Let k be r(8). Solve 0 = 4*a - k*a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 v, and 2 o when four letters picked without replacement from vrnxinoro?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6199.46 less than -28.72?\nAnswer: -6228.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -54*f + 977. Let m be w(18). Let v(a) be the third derivative of 7\/6*a**3 - 2\/15*a**m - 12*a**2 + 5\/12*a**4 - 1\/120*a**6 + 0*a + 0. Calculate v(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 653 = -4*q - 670, -18 = 4*q + 2*k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -80954\/13 <= -6227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -2\/3*i**3 + 22*i**2 + 46*i + 264. Factor l(t).\nAnswer: -2*(t - 23)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 - 6 - 1 + 5*z**3 - 6*z**3 in the form b*z**3 + o + d*z + a*z**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + d + 19 + 46 = 0, -4*p - 2*d = -70. Solve 2*r = -5*y + p, 2*y - 5 - 3 = -r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 6*n + 5. Give r(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 8:10 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0969288 years?\nAnswer: 0.00969288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 + 640*p**2 + 7655*p - 339660.\nAnswer: 5*(p - 17)*(p + 37)*(p + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007147 rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 9459.\nAnswer: 9459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(112) + sqrt(112) + (sqrt(112) - (4*sqrt(112) - sqrt(112)))) + sqrt(112))\/sqrt(7))\/(sqrt(392) + (sqrt(392) - sqrt(392)*1*-1)).\nAnswer: sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (45 - (-43 + 33)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Let j(o) = 19 - 13*o + 6*o + 2*o + u*o. Does 2 divide j(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-50)*(15 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-2 - (-1 - (-3 - -3))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 4, 14, -17, 3, -6 in decreasing order.\nAnswer: 14, 6, 4, 3, -2, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11505082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - j - 68, -j = 2*j - 12. Let z be ((-1)\/2)\/(1\/c). Let y(u) = 2*u**2 - 3*u - 448. Let m be y(-14). Which is greater: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 18, -2, 26, 0, -6, -5 in descending order.\nAnswer: 26, 18, 0, -2, -5, -6, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -256.8802 and -0.3.\nAnswer: 77.06406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 53832*i - 12435179. Calculate r(231).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.22 - 0.02. Which is the second smallest value? (a) -2 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8067 + -381. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11202120 + 0?\nAnswer: 11202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-84)\/98)\/(((-132)\/12)\/1925). What is the highest common factor of m and 16350?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 249*i*w**3 - 71*i*w**2*x**2 - 7*i*w*x**2 + 27*i*w - 11*w**3*x**2 - w*x**2 wrt w?\nAnswer: 1494*i - 66*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q + 3*w + 0*w - 192 = 6, q - 2*w + 110 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 3*s + 2. Let n be o(-8). Suppose 4*l - n = 14. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 6*v + 8*v. Let r be ((v - 5) + -3)*1. Differentiate 0*x + 16*x + r*x - 22 wrt x.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -363*z**2\/2 + 66048933*z\/2 + 545859.\nAnswer: -3*(z - 181953)*(121*z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -51.8*0.3\nAnswer: -15.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggg. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.73 - 1.63. Put 1\/2, 0, a in descending order.\nAnswer: 1\/2, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15671 or 47012\/3?\nAnswer: 15671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15372*f + 7687*f + 7685*f + 7*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 174\/5*u**4 + 0*u + 4\/5*u**3 + 0 + 0*u**2 - 88\/5*u**5 = 0. What is u?\nAnswer: -1\/44, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wddd. What is prob of sequence dw?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5475532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46009 is divided by 215?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 6*p - 16 + p. Let a(m) = -36 + 13 + 18 - m. Let d(s) = 7*a(s) - 2*v(s). Calculate d(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**(-13))\/(m*m\/m**(-1\/26)) assuming m is positive.\nAnswer: m**(-313\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 14637*u - 14637*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -262*n**2 + 1645*n.\nAnswer: -524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1721323\/99 + 17387. What is the smallest value in o, -0.1, -3, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 2*d + 3*x, 3*x + 92 - 8 = -4*d. Which is smaller: d or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h**(-1\/29))\/((h*h\/(h*(((h**1\/h)\/h)\/h)\/h))\/(h**3\/h)) assuming h is positive.\nAnswer: h**(-59\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - 6*b**2 + (0 - 1 + 3)*(b**2 + 2*b**2 - 4*b**2) + (-5*b + 2245 - 2245)*(-b + 2*b - 4*b) in the form c*b + a + v*b**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = z + 35 + 11, 250 = -5*z + u. Suppose 0 = 25*a - 28*a - 150. Is a greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 442?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*o + 180 = 3*o, -3*h + o = 186. Let w be 3\/27 + (-11)\/h. Let a = 0.8 - 0.4. Put w, a, 1\/3 in decreasing order.\nAnswer: a, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/7 + 1635895*k\/7.\nAnswer: k*(k + 1635895)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -648c + -27?\nAnswer: -64b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z = 46*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 12*x - 15. Let r be b(-10). Suppose 4*j - 14 = -5*n, -n - 2 = -r*j + j. Solve y = -s, 0 = -s + 2*y + n - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 2*z**2 + 0*z**2)*(4*z - 4*z - 2*z) + 2 - 7*z**3 - 2.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121173714*g**4 + g**3 + 933030917*g**2 wrt g?\nAnswer: -2908169136*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 17 - 7. Suppose 14 = x*z - 7*z. What is the remainder when 67 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -12*k + 1. What is c(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1903\/6, -2, -3\/2, 4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9557*t - t**2 - t**2 + 0*t**2 - 9554*t.\nAnswer: -2*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1082b (base 14) to base 15\nAnswer: bcd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1073467 and 719?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -185 less than or equal to -188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 15*z**3 + z**2 + z - 4. Let p be u(-3). Suppose 2*x = -2*c - 2, 2*x + 0*c = c - 17. Let y be p\/(-3) + 2\/x. Round y to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*t + 73*t - 113*t in the form n + p*t and give p.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42511.77g to micrograms.\nAnswer: 42511770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 12:25 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, p: 1, h: 2, w: 2}. What is prob of sequence ohww?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2476000 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1658893, -1659073, -1659373, -1659793?\nAnswer: -1660333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 12*j**2 + 199*j + 2041. Give t(-11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 962117086*t**5 - 35*t**2 - 44*t + 9536 wrt t.\nAnswer: 57727025160*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 909 + -953. Is (-12651)\/(-4) + (-11)\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/8378 and 73\/6674?\nAnswer: 393766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 19 (b) 1\/21 (c) 4\/2319\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48143, 48175, 48207?\nAnswer: 48239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 43*u. Let b(c) = -517*c. What is 4*b(r) + 47*d(r)?\nAnswer: -47*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 58 - 146*p.\nAnswer: -146*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**5 + 39*t**4 - 165*t**3 + 225*t**2 = 0.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18328607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3*v - 1)*(2 - 3*v + 3*v + 2*v)*(2 + 0 - 3)*(-7 + 59 + 65) to the form i*v + p + s*v**2 and give i.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5*55803662\nAnswer: 279018310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-435*c**2 + 1254 - 1254)*(-2 + 4*c + 2 - 2*c - 1 + 1 - c - 2*c + 2*c + (-4*c + c + c)*(4 + 0 - 3) - 3*c + 1 - 1).\nAnswer: 1740*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1424355\/397 or 3589?\nAnswer: 3589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**3\/3 - 6*c**2 + 10*c - 12. Let w be g(11). Let n be ((-85)\/(-10))\/(-2 - w). Is -10 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in -5, 5, 45, 1\/5, -15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**9*j*j*j*j*j\/(j**(-11)\/j*j)*j*j)\/((j\/j**(-18))\/(j**15\/j)))**(4\/5) assuming j is positive.\nAnswer: j**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9184*b**2*v**4 + 386*b**2 + 6*b*v**3 + 578*b + 2*v**2 - 2*v wrt v?\nAnswer: -110208*b**2*v**2 + 36*b*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 3*y - 1937 = 4*m, 4*y = 20. Suppose -7*z + 5*z + 8 = 0. What is the second derivative of -20*a**z + m + 8*a - 976 wrt a?\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c0 + 2e31?\nAnswer: 3001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 807 and 157903?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-72)\/(-8)*1\/3. Suppose -u*q + 39 = -0*q. Let r be (4\/q)\/(26\/(-39)). Is 0 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2512988 is divided by 96?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -23.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113292177.\nAnswer: 3, 37764059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 4*q**2 + 11*q + 31. Let w be 1219\/(-230) - 21\/(-70). Calculate t(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 52197 = 3*r, -3*r + k = -11444 - 40753. Let a = 1322883\/76 - r. Let n = a + -2\/19. Find the common denominator of 101\/78 and n.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48737.69 years to months.\nAnswer: 584852.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 26*r**2. Let j(w) = 31*w. Calculate o(j(i)).\nAnswer: 24986*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*a**3*i**3 - 1540*a**3 + 37*a**2*i - 127*a*i**3 + a wrt a?\nAnswer: 36*i**3 - 9240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12511 + 17863. Calculate the greatest common divisor of w and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11893.2 rounded to the nearest ten?\nAnswer: -11890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4917543 is divided by 290?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**7\/14 + k**4\/4 - 6*k. Find the third derivative of r(p) wrt p.\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 divided by -3.\nAnswer: 128\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*a + 4*a + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12579?\nAnswer: 3, 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from {s: 1, b: 1, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 90 + -1452?\nAnswer: -1372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2530 (base 6) in base 4?\nAnswer: 21312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u**2. Let x(m) be the first derivative of m**2 + 10. What is i(x(l))?\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 17. Let o be y(-11). Calculate the remainder when -2 - 2*(-9)\/o is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 8071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -2, 4, 1, -16 in decreasing order.\nAnswer: 4, 1, -2, -16, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/7 + 5661776*g\/7 + 56617360\/7.\nAnswer: 4*(g + 10)*(g + 1415434)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 201212102 (base 3) to base 4\nAnswer: 3202103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1090699 not equal to -1090702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 0*l**3 + l**3)*(-5 + 5 - l) - 3*l**3 + l**4 + 3*l**3 + (2*l**3 - 2*l**3 + l**3)*(3*l - l + 3*l).\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 4*t**2 - 3*t. Let l(i) = 2*i**2 - 2*i - 3. Let a be l(0). What is v(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - -2)\/(224\/(-104160)*93).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4431)\/(-84) + (-3)\/4. Let j = 49 - s. What is the third biggest value in j, -0.1, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6484035\/7 or 926291?\nAnswer: 6484035\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27676 (b) -555 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 8 = 16. Let j = 89 + -89. Suppose j = 3*f - 0 + 3. Sort -3, a, f in decreasing order.\nAnswer: f, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 + 58*r - 47*r - 12 + 7*r**2 - 5*r**3 + 2*r**3. Let o be i(8). Let w be (o\/(-8))\/((-6)\/8). Solve 16 = -4*d - 4*t, -t + 5*t = 2*d + w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**4 + 2701927*h**2 - 7355548*h.\nAnswer: 24*h**2 + 5403854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 81.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30040 is divided by 29378.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v**2 - 7. Let n(g) = 6*g - 221133. Give n(c(p)).\nAnswer: -54*p**2 - 221175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 4*c + 16, 3*i + 0*i + 28 = -5*c. Let o = -4 - i. Suppose 0*t = 2*t - 4*m + 12, 0 = 4*t - 2*m. What is the remainder when t is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/141 + -28\/235. Are o and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1106 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2266498 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*n**2 + 50*n**2 - 99*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 126803, 3\/8.\nAnswer: 0.3, 3\/8, 126803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 7*s + 5. Let d(y) = 2*y**2 - 6*y + 4. Let f be (1\/2*-10)\/(-1). Let l = 10 - f. Determine l*d(h) - 4*w(h).\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 136*i - 141. Is f(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*k = 2, 3*v - 3 = -0*k - 2*k. Let j(u) = u**3 + 10*u**2 + 10*u + 11. Let o be j(-9). Let x(b) = b + 3*b**2 + o - 3 - b**2. Determine x(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2496 and 4992.\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2169\/482*6\/(-9)*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 54, 112, 182, 258?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079013219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 41*t**8\/56 + t**5\/20 - t**4\/6 - 15*t**2 + 43*t. Find the third derivative of k(m) wrt m.\nAnswer: 4920*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*l - 24 = 0, -2*u + 3*l + 52 = 3*u. Suppose -r = r - u. Suppose -9*d + 185 = -r*d. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - z + 1. Let y(h) = -35*h**2 + 28*h - 28. What is -84*g(o) - 3*y(o)?\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -83115717 - 2.3\nAnswer: -83115719.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - (-208)\/(-56))\/((-3)\/(-21)). Let r(o) = -51*o - 5. Let m(l) = -26*l - 2. What is y*r(p) - 5*m(p)?\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/((-39)\/18))\/(-14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**6\/120 - u**5\/12 + u**4\/3 - 5*u**3\/3 + 5*u**2. What are the prime factors of g(5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595018500 a multiple of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + 6 + -6 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 664989 and 112749.\nAnswer: 2301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4242 divided by 7.\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6502*a + 23. Let f be w(-5). Let u = 46708 + f. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4 + 256*f**3 - 1392*f**2 = 0. What is f?\nAnswer: 0, 6, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2020203 (base 4) to base 6\nAnswer: -104243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5892437.\nAnswer: 47, 125371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2 - (-25 - -26) - (-15)\/(-90).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2309200.761 to the nearest 100.\nAnswer: -2309200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 2 (c) -0.07 (d) -7132 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*a + 9*a + 8137 - 8137 - 51*a)*(0*a - 4 + 2 + 2*a).\nAnswer: -110*a**2 + 110*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 0*c + 0*c)*(-c**2 - 3*c**2 + 3*c**2) - 65*c**4 + 14093*c**3 - 14093*c**3.\nAnswer: -62*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 14*k + 16 - 16 + 19*k - 3*k + 14*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -848 + 843. Sort -17, 0, r, -1 in decreasing order.\nAnswer: 0, -1, r, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0666965 - -0.0072961. Let d = -0.074 + j. What is d rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine sixteenths of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-30)\/585)\/(9\/(-117)). Which is the nearest to -31\/9? (a) t (b) 2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24150903 is divided by 3450127.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -835 divided by 5.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 907285*o**2 + 12701010*o.\nAnswer: 5*o*(o - 181443)*(o - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 5*q**2\/2 + 86*q - 114. Let f be h(-13). Let m(a) = -a**3 - 3*a**2 + 1. Let i be m(-3). Sort f, i, 4, -2.\nAnswer: -2, i, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**4 - 5662*t**3 + 23822*t**2?\nAnswer: 24*t - 33972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/91 and 29\/1197?\nAnswer: 15561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-17))\/(-8 + 7)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 60*y**2 + 16*y + 240.\nAnswer: -4*(y - 2)*(y + 2)*(y + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + s + 4 = n, -s - 7 = 2*n. Let z = 9 + n. Solve -b = z - 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1190944 - 9495107\/8. Let q = t + -4044. Calculate the common denominator of 9\/((-13 - 1)*-1) and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -7*f. Solve n = -f - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19771 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 plus 4184534?\nAnswer: 4184567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, -153, -158, -165, -174, -185?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-10\/3)*s)*s**(-21) assuming s is positive.\nAnswer: s**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 6*q + 3. Suppose -l + 10 = u, -3*u = -18 + 3. Suppose -3*i - l - 7 = 0. Calculate b(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2095*c + 36*c + 82*c + 759*c + 2155*c.\nAnswer: 5127*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -14*p + 15. Find the common denominator of -163\/150 and 6 + 2058\/(-198) + 5\/p.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/14990 and -42\/65285947.\nAnswer: 652859470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1410031 (base 8) to base 2.\nAnswer: -1100001000000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3454 (base 10) in base 12?\nAnswer: 1bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 14 = 4*a, 106*a + 88 - 18 = -22*a - 4*m + 42 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -146767, -147122, -147473, -147820, -148163?\n\"Answer: 2*f**2 - 361*f - 146408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 4*w**3 + w**2 - 25*w**3.\nAnswer: -21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zihhzlh. Give prob of picking 1 i, 1 l, and 1 h.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62.80841164 + 92.7543658. Let v = i + 1.05404004. Let r = -31 + v. What is r rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 8 - 16 + 55 - 1675*p - 13.\nAnswer: -1675*p + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 16) to base 3.\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 7*k**2 - 11*k + 7. Calculate j(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111111001001010110 (base 2) in base 13?\nAnswer: 2a78b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -484799 = -2\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v + v + 2*v. Let k(z) be the third derivative of -1\/24*z**4 + 0 + 0*z**3 - 3*z**2 + 0*z. Determine k(i(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6 - u + 0 + 2 + 5*u. What is the units digit of z(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/11 - 6*z**3\/11 + 6*z**2\/11 + 2*z + 12\/11 = 0. Calculate z.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 12, -7*p - 28 = -4*p - 4*x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-15) - 24\/(-180). Put g, 5, -2 in increasing order.\nAnswer: -2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-272)\/(-119)) - 5287\/(-5576).\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -9, -28, -55?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88612854 is divided by 5623.\nAnswer: 5620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4540, 18162, 40866, 72652, 113520, 163470?\nAnswer: 222502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - -1080?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6119*i - 6124*i - 166*i**3 + 227*i**3 + 4*i**2 to the form w*i**3 + z*i**2 + g + q*i and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-7)*4 - (54\/(-5) - -2). Factor 4\/5*l**2 - z*l + 256\/5.\nAnswer: 4*(l - 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344446 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (162\/4)\/((-3)\/6). Suppose 2*t = -f - 92, 249*t - 254*t = 3*f + 272. Let o = d - f. Solve -2*w = 2*v - 18, w - 3*v + o = -v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**6\/10 - 21*t**5\/20 + 9*t**4\/2 - 10*t**3 + 12*t**2 - 2225*t. Solve l(b) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j*j**(-1\/4)*j)\/j)\/j)**(3\/8)*(j\/(j**1\/j)*j*j)**(1\/27) assuming j is positive.\nAnswer: j**(113\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23027601 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3, -2.5, 195\/136, -0.1 in descending order.\nAnswer: 195\/136, -0.1, -0.2, -2.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126\/757 - 1\/4542. Let y = 0.37 - -1.53. Let s = 2 - y. Which is the fourth smallest value? (a) v (b) 3 (c) s (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 48 = 267. Calculate the highest common factor of n and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12572 - 0.3\nAnswer: -0.17428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62113838 or -62113837?\nAnswer: -62113838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1473212512?\nAnswer: 2, 71, 137, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.2453 micrograms to grams.\nAnswer: 0.0000092453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16 + -2*(-287)\/(-35). Let u = -1 - -3. Which is the third biggest value? (a) -3\/8 (b) k (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4)**(17\/5)*(l\/(l**(1\/5)*l*l))\/(l**(-1)\/l) assuming l is positive.\nAnswer: l**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -72. Calculate the remainder when 128 is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6194 * -0.3\nAnswer: -0.18582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/5 (b) 5 (c) -2.1 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 4, 2, -3\/5, -11935, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22141883 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m. Let n(q) = q**2 - q. Let w(s) = c(s) + 4*n(s). Factor w(t).\nAnswer: t*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 32*j + 35. Calculate f(3).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 32 = -2*u + 5*k, 12 = 2*u + 5*k. Let p = 7 - u. Let i = -1 - p. Solve 0 = 2*z + 4*m - 24, -m + i*m = z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 29. Let y be k(-14). Which is the nearest to y? (a) -1\/9 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/3 - 92*g\/3 = 0. What is g?\nAnswer: 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. What is the units digit of (-4)\/(a\/((-14)\/(-4)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - ((-215)\/860)\/(3\/(-72))) + 60.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175388 and 567892.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3 + 296*c**2 - 2760*c = 0.\nAnswer: 0, 10, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 60.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633243 is divided by 48710.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6979 is divided by 348.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729272?\nAnswer: 2, 91159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*c + 6*c - 5, -3*w - 2*c + 19 = 0. Suppose -2*q = w*q. What is the first derivative of q - 2 + v + 1 wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 9) to base 12.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178318 by 2.\nAnswer: -89159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 divided by -34.\nAnswer: -157\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 8*g - 1. Let f(a) = 2. Let w(t) = -t**2 - 21*t - 61. Let s(m) = -2*f(m) - w(m). Let i be s(-17). Calculate l(i).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in -2\/5, 25\/2, 1\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 594359\/45 - 13207. What is the common denominator of 14\/45 and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28600 and 429?\nAnswer: 85800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 22*y - 93. Let l be ((-6)\/1)\/(1 + -2). Determine m so that 6*m + l + y - 32*m + 243*m**2 - 82*m = 0.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5506.6 + 10470822.\nAnswer: 10465315.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270, 528, 786, 1044?\nAnswer: 1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25\/33 + -1\/11. Which is the nearest to o? (a) 0.3 (b) 1\/2 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3654759 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3441334 is divided by 1720665.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 0.1. Let u be 48\/27 - (1 + 1). Put c, u, 0 in descending order.\nAnswer: c, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38565204*h**3 - 316301704.\nAnswer: 115695612*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -717192719 or -717192721?\nAnswer: -717192719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8879*b - 79552. Give q(9).\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 163*v + 184 - 61 - 62.\nAnswer: -163*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 1)\/(1\/(-9)). Let y be (9\/(-18))\/((-8)\/(-640)). Let d = p - y. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305505?\nAnswer: 3, 5, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -244*g**2*r**3 + 149*g**2*r**2 + 2*g**2*r + 2*g**2 + g*r**3 + 946*r**3 + r**2 + 4*r wrt r.\nAnswer: -1464*g**2 + 6*g + 5676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*i + 18 = 0. Put 1, -4, i, -1 in descending order.\nAnswer: i, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p**2 + 25*p**2 - 16*p**2. Let r(z) = -z. Calculate g(r(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6390, -12868, -19346?\nAnswer: -25824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 83 = -16*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/45 and 34\/13695?\nAnswer: 41085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/10921240 and -143\/15190452?\nAnswer: 1670949720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1850124*c - 1164442 wrt c.\nAnswer: -1850124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10094.8903 - 10090.7. Round y to one decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1072 + 9.1072. Sort 1, -3\/5, s, 3 in decreasing order.\nAnswer: s, 3, 1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*o = -1, -4*k - 5*o + 6 + 15 = 0. Let q(b) = -b**2 + 15*b - 18. Let c be q(15). Is (2277\/c)\/((-2)\/k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 - 99*u**3 - 951*u**2 - 2205*u - 1350.\nAnswer: -3*(u + 1)*(u + 2)*(u + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (209\/(-1254))\/(32\/(-36)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a - 630c?\nAnswer: -6327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**3 - 193*k**2 + 1864*k + 3497. Determine i(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 2. Let d be n(2). Let r be 11 + -2 + d + -2. Suppose 8 = -4*f + 64. What is the highest common factor of r and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -49)\/((-2)\/(-22)). What is the units digit of 3*14\/(-63)*h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-2 + 8 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 102878 = -9*p + 519890. List the prime factors of p.\nAnswer: 19, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (-2 + sqrt(320)*-2 - sqrt(320)) + sqrt(320) + 1 + sqrt(320) + sqrt(320) + 1 + sqrt(320) + -1)*2*1)**2*-1.\nAnswer: -1296 + 128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -271, -180, -39, 152, 393, 684?\nAnswer: 1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/30*35*31\/((-868)\/(-144))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -c7?\nAnswer: c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 34150 divided by 34150\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 4 - 8. Suppose s*v - 16 - 5 = 3*t, -3*v = t - 21. Let b = -33 - -45. What is the remainder when b is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 13*i**3 - 6*i**2 - 6*i - 7. Let j be (80\/(-3))\/(-5) + 12\/(-36). Let z(g) = 13*g**3 - 5*g**2 - 5*g - 6. Give j*a(v) - 6*z(v).\nAnswer: -13*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/9)\/(((-24)\/(-54))\/2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 7 - (100 + -107)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (924\/48 - 16)\/((-320)\/1536).\nAnswer: -78\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - 2*g)*(-2*g - 2*g + 2*g) + 0*g**2 - 4*g**2 + 2*g**2 - 2 + 2 + 3*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 1. Let z be k(4). Let q = 4 - 3. Let x(o) = 5*o + 77. Let l be x(-15). Put l, z, q in increasing order.\nAnswer: z, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -631046, -1262088, -1893130, -2524172, -3155214, -3786256?\nAnswer: -4417298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -236400076 by 5.\nAnswer: -236400076\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m**3 - 2*m**2 + 11*m + 5. Let t be b(3). Let y = 2546\/13 + t. Put -4\/5, -14, y in decreasing order.\nAnswer: y, -4\/5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -17*t**2 + 0*t**3 + 3*t**2 - t**3 - 14*t. Let b be m(-13). Solve 3*k + 5*r = 0, 5*k = -6*r + 2*r - b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96179125 to the nearest one hundred thousand.\nAnswer: 96200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 11. Let p be r(8). Suppose 0 = p*m - 11*m - 24. Solve 3*k = 5*c + 3, -6*c - m*k = -5*c - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-10))\/b**(-31)*(b**(1\/4))**(-36))**(6\/11) assuming b is positive.\nAnswer: b**(204\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o**2 + o**2 + 171*o**3 - 7 - 520*o**3 + 172*o**3 + 171*o**3 + 16*o. Let z(l) = 3*l**2 + 4*l - 2 - l**2 - 2*l**3 + l. What is 2*p(y) - 7*z(y)?\nAnswer: 2*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 376 and 641632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3679 + 3696. Let d(o) = -25 + 4*o - 12 - 31. Let z be d(c). Sort z, 4, -9 in descending order.\nAnswer: 4, z, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*l + 32, -3*q + q = -4*l - 16. Is (-4)\/(-2) + l + 306\/3 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 11. Suppose -t*x + 8 = -4*y - 8, -y + 13 = 3*x. Solve -3*a = -5*a + x*b - 16, -2*a - b - 6 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13916 + 13914.68. Is b greater than 0.69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1206 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 450 - 522 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -1)\/(-1)*-3. Let c = 3 + g. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a75848 (base 11) to base 13.\nAnswer: 953714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - v**2 - 50*v + 52. What is c(-8)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 5*f**3\/6 - 8*f - 72. Let c(j) = -2*j**2 - 52*j. Calculate c(o(w)).\nAnswer: -50*w**2 - 260*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(135))\/(sqrt(80) + -2*sqrt(80)) - (3 + (2*sqrt(189)\/sqrt(700))**2).\nAnswer: -102\/25 + 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -74*p - 221. Let s be m(-3). What is the third smallest value in 4, -2, -1.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**3 + 3*p - 1. Let d(a) = -a**3 + a. Let h(l) = 2*d(l) - u(l). Let v be h(0). What is the units digit of v*28 - (-2 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 - u**3 - 5*u**3 + (-4*u + 4*u + 2*u**2)*(2*u + 2 - 2) - 3*u**3 - u**3 - u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121, -2, -5, 0.4 in descending order.\nAnswer: 121, 0.4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -14, -17.\nAnswer: -45, -17, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/(-15))\/(2\/(-10)). Let g(y) be the first derivative of -y**2 + 1\/4*y**4 + 8*y - 2*y**3 + 8. Calculate g(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*v + v - 23*v**3 + 84*v**3 - 85*v**3 - 89*v**3 + 5292 wrt v.\nAnswer: -339*v**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 93178*v - 279543. Calculate r(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 6040.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3\/2 - d**2 + 19*d\/2 + 10 = 0. Calculate d.\nAnswer: -5, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 31*b + 66. Calculate the remainder when h(28) is divided by 40.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from vdddvvddddvvdddddd.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 2. Let o be s(1). Suppose -o = -h - 6. Let f(b) = -b - 1. What is f(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -25, 0 = -x + a - 2*a - 3. Suppose -2*k - 4 = -2*o - 0*o, 5*o - 7 = x*k. Suppose -w + 4*w = 0. What is the nearest to -1 in k, -2\/7, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*m + 49 - 39 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -4. Let c = 28 + z. Let m = -1 + 1.1. Put c, m, 5 in increasing order.\nAnswer: m, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2669670*j**2*p*u - j**2*p - j**2*u + 9569*j*p + j*u + 1 wrt j.\nAnswer: 5339340*p*u - 2*p - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b811 (base 15) to base 2.\nAnswer: -1001100000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2c215 (base 16) to base 15\nAnswer: 38857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f**2 + f + 1. Let a be i(-1). Suppose 2 - a = -m. Calculate the remainder when (m\/8)\/(1\/22) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 26*r**2 + 1. Let m be n(1). Let t(l) = l**2 + 20*l + 48. Let x be t(-17). Let q be x + (1 - m\/(-1)). Solve o + 2 = 3*p + 12, 0 = 3*p + 2*o + q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 130*y + 13244374 - 648674. Round y to the nearest 1000.\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4, 3*v + 0*v + 77 = 5*r. Let u = -9 + r. Solve u*f + 28 = 5*h, -2*h + 2*f = -7*h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 5*u**2 - 2*u - 4. Calculate the lowest common multiple of g(3) and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1286131 to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*o + 7 - 87. Let y(q) = -q**2 - 5*q + 3. Let z be y(-5). Factor 0 + 0*m**2 - 4\/3*m**5 + 0*m + 1\/3*m**z - m**o.\nAnswer: -m**3*(m + 1)*(4*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77078650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7042, 7, 3, -2, -4, 4 in increasing order.\nAnswer: -5, -4, -2, 3, 4, 7, 7042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8131454 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 8*i**2 + 6*i - 3. Let j be n(-7). Suppose k - q + 635 = j*k, -4*q - 625 = -3*k. Suppose -76 = 5*x - k. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*y + 4. Let l = 88 + -93. Which is the second biggest value? (a) l (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p. Let z(o) be the second derivative of -5*o**3\/3 - 3*o. Give k(z(x)).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*k - 104*k + 100*k as j + z*k and give z.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49 or 2566\/51?\nAnswer: 2566\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p**(-5\/7))\/p*p)**(1\/8) assuming p is positive.\nAnswer: p**(9\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -11 - 39. Let l = x - -13. Suppose 1 = b - 10. Solve 0 = 5*h + 4*a - b, -h + 2 = -l*a - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35889 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89028?\nAnswer: 2, 3, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -652 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**6\/210 + k**5\/210 - 5*k**4\/84 + 2*k**3\/21 - 3*k**2. Solve y(h) = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -122 in increasing order.\nAnswer: -122, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1585 and 1568 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1285 = -0*i + 9*i - 425. Are i and 195 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68894351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*c + 120938 - 29930. Which is smaller: c or 2529?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*((-4)\/(-8) + 0). Let l be (c + -1)*(-3)\/(-4). Find the first derivative of -3*j + l*j - 4 - 6*j**2 + 4*j**2 wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.1, -0.3, 457.1 in ascending order.\nAnswer: -0.3, 0.1, 0.5, 457.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/42 and 59\/324?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 69205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1379*x**5 - 2*x**2 - 136?\nAnswer: 82740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 14*h - 38. Does 10 divide t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43531 is divided by 204.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - 26. Let v be i(6). List the prime factors of ((-138)\/v)\/((-211)\/(-52) + -4).\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2433129, 2432960, 2432781, 2432586, 2432369?\nAnswer: 2432124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3015786991.\nAnswer: 7, 61, 977, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 = -2*a, -5*a - 1 = -f + 6. Suppose -3*m + 51 = -5*u, -2*m - 17 = -3*m + f*u. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483721 to the power of 1\/2, to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21631*b - 2 + 10780*b + 10758*b.\nAnswer: -93*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11\/5)\/(-1)*-5. Let v(u) = s*u - 20*u + 14*u. Let g(r) = 8*r**2. What is v(g(f))?\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 212 or -1066162?\nAnswer: -1066162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 0 (c) 1\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31617629?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - -0.12. Let s = 0 - m. Let w = -0.079988 - s. What is w rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -3 + 11 + -6. Suppose -o - r = t, -o + 3*o + 12 = -4*t. Suppose o = -5*x, -u + 0*x + 2*x + 10300 = 0. Round u to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 18 = o. What is the third derivative of -30*u**3 + 30*u**3 + 14*u**4 - o*u**2 wrt u?\nAnswer: 336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*k + 24 + 147 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12770.5537849 - 12770.36. Let b = 0.1137838 - a. Let s = 0.08 + b. What is s rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322595 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffggffgffgfffg. What is prob of sequence ffff?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -2401\/6*m**3 - 1\/120*m**6 - 2303\/24*m**4 - 12*m**2 + 0*m - 5 + 97\/60*m**5. Factor b(q).\nAnswer: -(q - 49)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/8*4)\/(1\/108). Suppose 3*n + l - 630 = 0. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -79*u**6\/10 - u**5\/5 + 323*u**4\/3 + 1305*u. What is the third derivative of w(j) wrt j?\nAnswer: -5688*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -18. Sort -4, -5, m.\nAnswer: -5, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3960088 by 8182.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**(-1\/4)))\/s**(7\/4))**39)**(-10\/13) assuming s is positive.\nAnswer: s**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) + (-16)\/10. Let l(i) = -i - 1. Let p(v) = 9 - 1 - 12*v + v**2 + 4. Let n be p(11). Let o(a) = -a. Calculate h*l(s) + n*o(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - i - 86. Calculate d(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22975, -23053, -23131?\n\"Answer: -78*t - 22897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = 21*j + 4*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5887 divided by -8?\nAnswer: -5887\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/(-39)*36\/(-12).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 x when three letters picked without replacement from {d: 3, c: 7, b: 2, x: 5}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.8 + -0.5. Let p = -9.8 - l. Let h = 6.4999842 + p. What is h rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -323*a + 8261. Give x(25).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258005*k**3 - 258006*k**3 - 37731*k**2 + 37731*k**2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h**2 + 4*h**2 + 0*h**2)*(3*h**2 - 2*h**2 - 9138 + 5055) to g*h**3 + y + i*h**2 + p*h**4 + a*h and give i.\nAnswer: -8166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4443509, -4443568, -4443667, -4443806, -4443985, -4444204, -4444463?\n\"Answer: -20*d**2 + d - 4443490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4)*3 - (1*sqrt(60))\/sqrt(5))\/(-6*(sqrt(24)\/(sqrt(32)\/sqrt(8)) + sqrt(6))).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {w: 1, i: 2, z: 11, l: 4, m: 1}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4492327*g. Let f(q) = 16*q. Determine f(n(p)).\nAnswer: 71877232*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drdmp. Give prob of picking 1 r, 1 d, and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -25*r**2 - 2*r + 13*r + 3 + 33*r**2 + 14. Let d(j) = -7*j**2 - 11*j - 16. Let v(t) = 7*d(t) + 6*y(t). Factor v(h).\nAnswer: -(h + 1)*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -4, 0, -726, 5, -29, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.048 - -0.048. What is the closest to 1\/3 in h, -4, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -32, 30, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 882646 (base 9) to base 6.\nAnswer: 15143110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117130104 a multiple of 2828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + -3*(-4)\/(-6). Suppose 0*b = r*b - 35. Let z(y) = b + 4 - 4 + y**2 + 7*y. Give z(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/12 - (-1230)\/(-180). Let t(j) = -20*j + 32. Calculate t(c).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/60 of a hour?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183862627 to the power of 1\/4, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -1\/4 (c) 5\/3 (d) -1 (e) -4.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -4*q**3\/3 - 2*q**2 + 120*q + 643. Factor o(j).\nAnswer: -4*(j - 5)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -7 - (-26 - -16)) + (-1 - 8).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5744666 (base 8) in base 10?\nAnswer: -1558966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.9 + -19.9. Which is the second smallest value? (a) -2\/13 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2214 and -6300976.\nAnswer: -6303190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4\/2 - 1275*w**3 - 29082*w**2 - 54341*w - 53067\/2 = 0. What is w?\nAnswer: -2527, -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11032110313 (base 4) to base 12.\nAnswer: -560587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1860832936.\nAnswer: 2, 10141, 22937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15840, 36789, 71712, 120615, 183504?\n\"Answer: x**3 + 6981*x**2 - x + 8859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 413793287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-32)*-4)\/((-7)\/14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 13768*g. Let h(a) = 40*a**2 + 7*a + 7. Let r(x) = -57*x**2 - 10*x - 10. Let k(v) = -10*h(v) - 7*r(v). What is k(q(w))?\nAnswer: -189557824*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 - 0.2. Sort -5, -3, q.\nAnswer: -5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 take away 0.24024508?\nAnswer: -0.11024508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 1:44 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**2 - 9*x + 3. Let r(m) = -6*m**2 - 12*m + 4. Let j(i) = 4*a(i) - 3*r(i). Let h(u) = -29*u. What is j(h(k))?\nAnswer: -1682*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 6 - 18. Suppose 5*p = -y*q + 3 - 0, -q + 4*p + 18 = 0. Let g = q + -1. What is the second smallest value in 1\/7, g, -2\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1060435 divided by -301?\nAnswer: 1060435\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -6, -36, 2 in ascending order.\nAnswer: -36, -6, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 49*u**2 - 1. Calculate g(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4816\/(-516)*108\/56?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + (-21 - 25) - (25 + -4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5060681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a - -269?\nAnswer: 22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (6 + 1 - 5) + -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (39 + (-25 - (4 - 12)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(7 + 1 + -1) - 20\/(-140). What is the closest to -1 in 1\/7, -0.4, -0.06, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 - 19*n**2 - 9*n. Suppose -55 + 35 = -d - 29. Calculate w(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 7*h + 3*s - 83, -3*s = 4*h - 67. Solve -4*v = 4*w, -4*w = 8*v - 12*v - h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -23*k + 3. Find the first derivative of 4*b + 38*b**3 + 46*b**k - b - 53 - b wrt b.\nAnswer: 252*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -118 - -1373?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00038785 to 5 decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 35 = -3*n, -h - 3*n - 6 = 14. Let u = -0.3 + 0.2. Let z = -3460 - -3459. Sort -2\/13, z, h, u in decreasing order.\nAnswer: u, -2\/13, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688480375 to the power of 1\/4, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - y. Let a(q) = -11*q**3 - 2*q - 1. Let f(d) = a(d) - 2*c(d). Differentiate f(m) wrt m.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.05 + 0.206. Let z = -1.2 + y. Round z to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*v + 39*v = 119*v - 6498 for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 16*w**4\/3 + 19*w**3 + 167*w**2. What is the first derivative of u(l) wrt l?\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67194597, -67194593, -67194587, -67194579?\nAnswer: -67194569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 81 = -3*t, -q + 23 = -5*t + 6*t. What is the remainder when t*3 + 0\/(-1) is divided by (10*(-35)\/336 - 3\/(-8))*-30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1764 and 6372.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + p - 213 = -218, -5*p + 15 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 26 = -4*l + 5*t, 0 = -5*l + t - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/1188*(-48)\/(-21)*(-6)\/(-20)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/25 + -31\/75. Let z = 0.2 + -10.2. What is the closest to z in l, 0.1, 3\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 12. Let u be t(-6). Let j(q) = -q**3 + 7*q**2 - 4*q + 7. Is j(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/((-14)\/(-3))*2. Let u(y) = y**3 + 5*y**2 + 4. Let m be u(-5). Solve 0 = 3*f + x, 6 = m*c + 4*f - 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*q + 2 = 0, t = -2*q + 4*q + 11. Solve t*f + 4 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 190.5*-2\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 122 = 5*a + 813, 0 = -a + w - 177. Suppose -2*i - 930 = 5*d - 7*i, -3*d = 4*i + 530. Is a smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 858956 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 290 (b) 69 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from {v: 5, d: 3, q: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 343 - 216. What is the remainder when v is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*h**3*u**3 - 42*h**3*u**2 - h**3 - 2*h*u**2 wrt u?\nAnswer: 162*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174520885 and 385.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + n + 1. Let v(r) = -4*r**2 - 16*r - 1. Let h(i) = v(i) + 5*z(i). Determine h(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.78 + -13.52. Let r = 12 - 26. Let h = r - o. Which is the second biggest value? (a) -2\/11 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*g - 655081159*a**2*l + a*g*l - 4*a*g + 23109796*a*l + g*l wrt a?\nAnswer: -2*g - 1310162318*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Let l(n) = 4*n**2 + 3. Let y(f) = 3*f**2 + f + 2. Let r(j) = -2*l(j) + 3*y(j). Let p be r(-5). Solve -2*h + 5*h + z*m = p, 5*m = 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -1357.\nAnswer: 6785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 14968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -732 + 830. Calculate the remainder when d is divided by 38.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 29, -2, -3, -501, 4, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 797113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z - 4. Let u be r(4). Suppose -u = -4*l + y, -2 = -2*l + y + 6. Let j(q) = -3*q**2 + 4*q**2 + 7 - 1 - 7*q. What is j(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12451\/5 smaller than -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-252)\/180)*2\/(-3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g**3 + 8*g**2. Suppose 0 = -10*v + 8*v - 68. Let x = -23 - v. Let d(p) = -3*p**3 + 3*p**2. Calculate x*d(i) - 4*m(i).\nAnswer: -i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 8:03 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1629858, -1629870, -1629882?\n\"Answer: -12*k - 1629846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -86, 4, 55, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuubuuuuuuuub. Give prob of sequence uuu.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y**3 + 6*y**2 - 6*y - 9. Let c(i) = -7*i**3 - 5*i**2 + 5*i + 10. Let n(u) = 6*c(u) + 5*p(u). What is the derivative of n(w) wrt w?\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxy when three letters picked without replacement from xpgypgu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - 1. Let v = y - -16. Calculate the highest common divisor of 16 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 6, 4*w + z = -0*w - 39. Let t = w - -10. Let j = t + 2. Solve -5*p + 1 = -x, 2*p + j*p - 2*x - 2 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 4214, 0.1, -4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -1534287, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j + 8. Let m(v) = -1 - 1 + v + 3. Let h = 592 - 593. Suppose 3*y - 33 = -5*f, -10*y + 20 = 4*f - 14*y. Determine f*m(d) + h*g(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*c**2 - 55*c**2 - 54*c**2 - 40*c**2 + 231*c**2.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 18*g + 111. Let i be v(-5). Suppose 0 = i*p - 708 - 762. Calculate the highest common divisor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 348 - -252. What is t rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lizlcuiy. What is prob of sequence zilu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 14172?\nAnswer: 28344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/208040 and 95\/44.\nAnswer: 2288440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 3622 - 2887 - 1442.\nAnswer: -g - 7951","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 2, d: 1, x: 1, j: 1, t: 1}. What is prob of sequence tx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 3 = 2*y + 2*l, -4*l = -y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558832*m - 62 + 62.\nAnswer: 558832*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 33 = 4*p. Suppose -3*r - 2*q = -4, r - 20 = 5*q - q. Let a be 26\/(-30) - r\/30. Sort -4, p, a in descending order.\nAnswer: p, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g**2 + 4*g + 1. Let c(q) = 10*q + 6 + 2 - 7 - 3*q - 13*q**2. Let b(i) = 4*c(i) - 7*u(i). Differentiate b(t) with respect to t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.99 - -3.01. Let c = 5 + -3. Let b = g - c. Which is bigger: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(125)*-2 - sqrt(125)) + -4*sqrt(125)*3 + -4)**2.\nAnswer: 1050*sqrt(5) + 28174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -413 by 7542.\nAnswer: -413\/7542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3427 (base 9) to base 11\nAnswer: -19a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 17.3, -5?\nAnswer: 17.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -4*g + 26, 1563*g - 9 = -3*o + 1557*g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 4\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -227 - 6*a**3 - 3*a**3 + 103 - 4*a**3 + 114 to the form n*a**3 + h + m*a + y*a**2 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8020 = 159*r + 4954 - 40182. Calculate the remainder when r is divided by 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x. Let q(g) be the third derivative of g**7\/252 - 8*g**5\/15 - 18*g**2. Let d(r) be the third derivative of q(r). Calculate k(d(y)).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 55*l**2 + 114*l - 394. Give a(53).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 3*o**2 - 4*o - 5. Let v be y(-4). Let s = -30 + v. Which is greater: -5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -168 - -258. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-8 + 6)\/(-8) + 6155\/20 and 14.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17408 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**2*m*v**2 - 2*g**2*m*v + 4*g**2*m - g**2*v**3 - 2*g*m*v - 5*v**3 wrt v.\nAnswer: 8*g**2*m - 6*g**2*v - 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m + 423*m**2 + 633*m**2 - 855*m**2 + 12*m.\nAnswer: 201*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 6541\/312650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(64))\/(-2*sqrt(6)*5)*-6.\nAnswer: 3*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/4171 + 4195\/33368. What is the second smallest value in t, 3, -0.1, -0.14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/19)\/((-802)\/22857)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/((-66)\/10021))\/(3\/9). Let c(t) = 1375*t**2 - 2*t + 1. Let z be c(1). Let b = z + y. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**5 - 192*g**4 + 2116*g**3 - 7368*g**2 + 5440*g = 0.\nAnswer: 0, 1, 5, 8, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 7 - 20) + 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1535336 by -11.\nAnswer: 139576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5 + ((-1 + sqrt(605))*1 + sqrt(605) + (sqrt(605) - -2*sqrt(605)) + 3 + sqrt(605))**2)*4)*2.\nAnswer: 2112*sqrt(5) + 174302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*i + 81*i**2 + 128*i - 41*i**2 - 44*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 e when four letters picked without replacement from {e: 2, c: 5, h: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/18 - (-4)\/(-18). Let v = -762 - -765. What is the second smallest value in l, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 2*g + 2. Let l be d(-2). Sort -1, l, 1 in ascending order.\nAnswer: l, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**2 + 644*z + 64680 = 0 for z.\nAnswer: -70, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1203)\/11228*(-2)\/3.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/97 in -3, 6\/11, -405, -1?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3300 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -43. Which is the closest to -12? (a) 3 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11484608860 to the nearest 1000000.\nAnswer: 11485000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 58 = g - 80, -4*g + 8 = 0. What is the smallest common multiple of 2 and d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - t + 6, 76 = -4*g + 3*t + 98 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 94395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 11 - 9 = 0. What is the second derivative of -3*d**2 - 2*d**2 + u*d + 5*d**2 - 4*d**2 wrt d?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3 + 25084752*x**2 - 25084755*x = 0. Calculate x.\nAnswer: -8361585, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/31778775 and 76\/61438965.\nAnswer: 921584475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -744*o + 431. Calculate h(1).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20538 divided by 2934?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8339 - 8389.51. Round u to 0 decimal places.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + -1 - (sqrt(5) + sqrt(55)\/(sqrt(11) + sqrt(11) + 2*sqrt(11))))**2 - -2*2*-2*sqrt(45).\nAnswer: -63*sqrt(5)\/2 + 1141\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 2201200001221101?\nAnswer: -2201200001221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 0.047.\nAnswer: -0.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(-1\/8)*n)*n**(-24))**35)**20 assuming n is positive.\nAnswer: n**(-32025\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*t = -666 + 509 - 613 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-52971)\/(-6))\/(26\/(-884))*(0 + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 + 16 = f, d + 4*f + 27 = 0. Solve -236 + 196 = d*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.1 - -13. Let y = 1 + l. Let f = -3 + 1. Which is the nearest to f? (a) y (b) -2 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99.187 + -24.2075. Let w = p + -75. Round w to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408790 rounded to the nearest 10000?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1199543 take away 3.7?\nAnswer: -1199546.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 282*n**2 - 887*n + 8998. Calculate j(285).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 40590, 41240, 42322, 43836, 45782?\n\"Answer: 216*c**2 + 2*c + 40372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/4 (b) 448 (c) -9 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by -4\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5. Let j = a + -0.1. Let k(w) = -5*w**3 - 2*w**2 - 2*w - 1. Let g be k(-1). What is the second biggest value in g, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Let i = 3 - -1. What is the highest common divisor of i and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16 and 0.1.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60*z**2 - z + 489.\nAnswer: -120*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52.7 + 52.3. Let u be ((-1)\/(-179))\/(2\/(-4)). Let h = u - 171\/716. Which is the second biggest value? (a) q (b) h (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 5*k**2 + 15*k + 22. Is 12 a factor of q(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 6.0899?\nAnswer: 17.0899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 42 = c. What is the least common multiple of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -25. Factor 2*u**5 + 10*u**4 + 0*u**4 - y*u + 5*u**2 + 3*u**5 - 15*u**2.\nAnswer: 5*u*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 128*d**2 - 134*d + 691. What is a(129)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 0*w + 27*w + 2*w - 32*w. Let h(p) be the first derivative of 7*p**4\/12 + p - 3. Let a(k) be the first derivative of h(k). Determine l(a(v)).\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 252*o - 68. Let b(u) = 758*u - 206. Let w(q) = 5*b(q) - 16*s(q). What is the units digit of w(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 185*s**2 - 9*s + 986. What is f(0)?\nAnswer: 986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2966848 rounded to 3 dps?\nAnswer: -0.297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r - 6*r - 2*r**3 + (r + 2*r - 4*r)*(2*r**2 - 7*r**2 + 4*r**2) + (7 - 7 - 3*r**3)*(-26 - 17 - 57).\nAnswer: 299*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:48 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 6 + 2 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131152 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 458*j**5 - 2*j**4 + j - 3008 wrt j?\nAnswer: 9160*j**3 - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3858533 is divided by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.00763 - -0.01643. Let v = s + -0.0088. Which is the second smallest value? (a) 3\/32 (b) -4 (c) v (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 719300 and 359650?\nAnswer: 719300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18479231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssjsssssssj. Give prob of picking 1 s and 1 j.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -830153 - -8?\nAnswer: -830146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d. Let n(o) = 1096*o**2 - 7. Let s(a) = -729*a**2 + 5. Let f(m) = 5*n(m) + 7*s(m). Give f(y(u)).\nAnswer: 377*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 178 + -336. Let j = t + 157. Let l(p) = 12*p + 1. Determine l(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 363499, 81, -0.1 in descending order.\nAnswer: 363499, 81, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 4*v + 2. Let q be p(-4). Let g be (q - (2 - 3))\/((-2)\/(-14)). What is the highest common factor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -6, -20, -54, -114, -206, -336, -510?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47359 in -1\/6, 12, -0.05?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11388*m + 16 = -j + 11384*m, 4*m + 24 = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10169 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7*v**2 + 4*v - 3. Suppose 0 = -0*h + h, 35 = 5*q - 5*h. Let y(l) = 22*l**2 - 11*l + 10. Let s(r) = q*o(r) + 2*y(r). Factor s(k).\nAnswer: -(k - 1)*(5*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -17. Suppose 2*a + s = 7*a. Find the first derivative of 3*v - 2 - 2 + a wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 29*j**2 - 322*j - 2988. Determine w(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23472\/(-4401)*(10\/4 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -123*g - 116*g + 361*g - 117*g. Let q(z) be the first derivative of -z**3 - 1. Give q(r(o)).\nAnswer: -75*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 332700 rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -150963120 divided by 385\nAnswer: -392112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 360522 or -5\/149?\nAnswer: 360522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q - 611 - 325 = -q. Solve 45 = -q*u + 9*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000142 rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 - (2 + 4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 44434168 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*k - 213*k**5 + 37*k - 3*k**5 + 5*k**5 - k**5 + (-4*k + 3*k + 3*k)*(2*k**4 - k**4 + k**4).\nAnswer: -208*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80 + -49. What are the prime factors of w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27826680 divided by -120\nAnswer: -231889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000057674 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sosooodoqprpsoodspqo. Give prob of sequence spsp.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from kkkkkdkdkdkkkk.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -121*v + 847. Let l be r(7). Are -6\/439 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 40*a**2 - 6. Let f(i) = -8*i**2 + 1. Give 16*f(x) + 3*m(x).\nAnswer: -8*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -7301254 and -7301254 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1020 or 1019?\nAnswer: 1020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - h**2 + 3. Suppose -5*g = -0 - 15. Let u be f(g). Let v = -3 + u. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 320, 652, 998, 1364, 1756, 2180, 2642?\nAnswer: 3148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 55 + q + 0*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*v - 85*v + 25. Solve -r = 3, -v*r - 18 = -4*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 266. Let d(i) = -i - 245. Determine -3*d(c) + 4*y(c).\nAnswer: -c - 329","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2 - 2*v. Let y be -19 - -15 - (-1 + -1). Let i(b) = b**3 - 10*b**2 - 6*b. What is y*i(r) + 7*l(r)?\nAnswer: -2*r**3 - r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248063.\nAnswer: 248063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmcvcvmcmvm. Give prob of sequence mccv.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*d**4 + 2*d**2*x**2 + 24*x**2 - 2 wrt d.\nAnswer: 36*d**3 + 4*d*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + w + w + (1 - 2 + 0)*(2*w + 0*w - 3*w) - 5*w - 9 + 9)*(240 + 24 - 30) as n + g*w and give g.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/18 and -13\/440?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 1, a: 1, e: 1, v: 1}. Give prob of picking 1 a and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 0*(-2)\/(-4). Suppose 5*z - f*m - 29 = -5*m, -3*z = -5*m + 5. Suppose z*y - 54 = 2*y. Calculate the remainder when y is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 15*g - 3. Let y be j(16). Suppose 8*c = 301 - y. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2))**33*(w*w**(-3)*w)\/w*w\/((w**(-8)\/w)\/w*w*w))**(12\/13) assuming w is positive.\nAnswer: w**(-114\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583 a factor of 1601656308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2 + 3 - f**2 - 10*f - 2. Suppose 27 + 8 = -5*t. Calculate the least common multiple of k(t) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189673*c - 1 + 188461*c + 1.\nAnswer: -1212*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022262 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2929591, -2929590, -2929589, -2929588, -2929587?\n\"Answer: v - 2929592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -120, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + l)*(-30 + 30 + 10*l)*(492*l + 100*l + 2 - 2).\nAnswer: 5920*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 348 in 0.3, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g + 56 = 0. Let s = 16 - g. Let l(n) = -n + 0*n + s*n. Let o(t) = 7*t. Determine l(o(i)).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 + 6*n**2 - 4*n + 4. Let x(b) = -4*b**3 + 28173*b + 5*b**2 + 3*b**3 - 28176*b + 0 + 3. Give -3*c(j) + 4*x(j).\nAnswer: 2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x + 66*x - 1023 = 0. Solve 34*f - x*f - 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 3*z - s, -10 = -4*z - 3*s + 146. What is the lowest common multiple of z and 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -252689.68 * 0.1.\nAnswer: -25268.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154877616 and 1224.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12020 - -22?\nAnswer: 12102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 10. Find the second derivative of 127 - 127 + h*b - 6*b**4 wrt b.\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s + 1. Let o be a(-5). Let q(g) = g**2 + 9*g. Let b be q(o). Solve 1 = j - b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1136523 less than -1136522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 1992007801059.\nAnswer: 1992007801061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 + 4*f + 2. Let d(h) = 6*h**2 + 7*h**2 - 11*h**2 - 1 + h - 3*h. Calculate 7*d(x) + 3*l(x).\nAnswer: 2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-10))\/((-1)\/10). Suppose 3*i + 0 = -6, 2*i - 20 = -o*t. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150*f**3 + 158.\nAnswer: -450*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2688 divided by 24.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (-6 + (-1 - 14))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -504 < -4023\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 15. Let r(p) = p**3 + 7*p**2 - 11*p - 8. Let g be r(-8). Let n = 11 - g. Put 5, f, n in increasing order.\nAnswer: f, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/10 + 11\/30. Let d(c) be the first derivative of -o*c**3 + 0*c + 1 - 1\/4*c**4 - 1\/2*c**2. Factor d(f).\nAnswer: -f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Suppose k + 3*o - 10 = 0, f*k - 2*o + 3 = -k. Suppose -k = w - b + 1, -10 = w - 3*b. Is 2 equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g - 13 = 40 + 21 - 116 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1942453?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*k = -q - 48, k = 4*q - 74. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633899.2 nanometers to centimeters.\nAnswer: 0.06338992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + 12*p - 2. Let q(x) = -7*x**2 - 25*x + 1. Let u(g) = -2*q(g) - 5*v(g). Determine u(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 3*w**2 + 1\/6*w**5 - 1\/120*w**6 + 3\/8*w**4 + 0 + 0*w - 11\/6*w**3. Is b(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + -53. Let n = -18 + m. Which is the third biggest value? (a) 0.3 (b) n (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2. Let h = 13 - 16. Let t(v) = -v - 3. Give h*w(r) - 2*t(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (15 + -4 - 8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1409016*f**2. Let v(o) = 16*o**2. What is a(v(g))?\nAnswer: -360708096*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199 = -7*r - 234 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100203 + -48548. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2125*s**2 + 950*s**2 + 5 in the form l + y*s**2 + r*s and give y.\nAnswer: 3075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1976839\/90 + -112493\/5. Let q = i - -534. Find the common denominator of -163\/30 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1780 and 410.\nAnswer: 72980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 2*l**2. Let n be g(2). Let f(u) = 1065 + 251 - 7*u + u**2 + 30*u + 273 - 17*u. Is f(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.11 + -3. Let p = 18.51 + -18. Let u = p - y. Which is the third biggest value? (a) 1\/5 (b) -7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 197*b**4*y**3 - 5*b**3*y**3 - 12*b**2*y - 2*b**2 + 7*y**3 wrt b?\nAnswer: 4728*b*y**3 - 30*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 490\/15189 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -22. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 8. Give v(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 376322*c**3*d*l - 65*c**3 - 3*c**2 + 2*d - 1 wrt l?\nAnswer: 376322*c**3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Let m(y) = -y**3 + 3*y**2 + 2*y - 2. Let x be m(f). Suppose 35 = x*h - g - 0*g, -4*h = -3*g - 41. 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 the value of (-65)\/39*8\/10*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1789 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 92326?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34867907 + -2042.\nAnswer: -34869949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 27*r**3 - 12*r + 4. Let t(x) = 25*x**3 - 12*x + 3. Calculate 3*b(u) - 4*t(u).\nAnswer: -19*u**3 + 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*d*z**5 - 11*d*z**3 + 920*d*z**2 + z**5 + z**2 wrt z.\nAnswer: -960*d*z**2 - 66*d + 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 1895 = -5*i, -r + 1185 - 34 = -3*i. Let b(v) = -126*v + 53. Let p be b(-4). Let c = p + i. Is 25 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 219673, 219681, 219693, 219709, 219729, 219753, 219781?\n\"Answer: 2*w**2 + 2*w + 219669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r - 2843 = -2491 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 - (0\/(-3) - -1). Suppose 0*w + 2*w = -5*d + 14, -2*d = -w - o. What is the third smallest value in w, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 4494\nAnswer: 49434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 4281.\nAnswer: 42810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/((-1)\/3). Let b(n) = -23*n**3 + n**2 + n. Calculate the remainder when b(d) is divided by 392\/63 + (-4)\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6377777*q + 4919585?\nAnswer: 6377777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(109\/(-55154)*46).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6796 - 6769 + 3*x - 2*x)*(-3*x + 5*x + 0*x)*(x**2 - x**2 + x**2) as k*x**4 + o*x**2 + n + u*x**3 + r*x and give u.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 10096?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396, 4721, 13012, 25275, 41516, 61741, 85956?\nAnswer: 114167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 313 - 303. Solve -15 = -15*b + h*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/228 and -29\/72.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6593*z**3 + 6*z + 18. Let v(o) = -13187*o**3 - 11*o - 33. Determine -6*v(n) - 11*x(n).\nAnswer: 6599*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115.1061g to kilograms.\nAnswer: 0.1151061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413500 rounded to the nearest 10000?\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 - 76 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - -7. Suppose 3*k = 9*k - w. What is the highest common factor of 8 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 2571001.\nAnswer: 15426006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -34154316 (base 8) to base 7\nAnswer: -116601216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 13*y - 11*y - 10, 0 = -3*y - 4*m - 8. Let x(f) be the second derivative of -1\/3*f**3 + y + 5\/2*f**2 + 5\/12*f**4 - 1\/20*f**5 - f. Calculate x(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (5 - (3 + (0 - -1)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 6*d**2 + d + 1358. List the prime factors of b(0).\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 374*l**3\/3 + l**2\/2 - l - 15. Is d(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142 - (54 - 44) - 60.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 + 54*a. Let k(j) = 28178*j. What is s(k(d))?\nAnswer: -1587999368*d**2 + 1521612*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/14 + 2 + (-86)\/602\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*t = 84*t + 1700 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280800 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65272?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 12. Let y = 1 + r. Solve -5*l = -3*g + 5, -y*l - 15 = g - 2*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 479*f**3 - 5*f**2. Let r be m(-5). What is r rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**2\/2 - 8*b + 4. Let g be k(-10). Solve -4*f - 1 - 6 = -t, g*f = 2*t + 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 17496, 2 in increasing order.\nAnswer: -0.1, 2, 17496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 716 + 3307*o**3 - 8096*o + 164 + 7147*o**3 - o**2 + 8096*o wrt o?\nAnswer: 62724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 22*b = -41, 140*u - 144*u + 0 = 5*b - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 736842 divided by 2\nAnswer: 368421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t = -3*h - 56, -5*t = -2*h - 54. Let u(i) = -2 - i + t*i**2 - 2*i**2 - 1 + 2. Give u(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zll when three letters picked without replacement from lnnnzllnnnznzlnn?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15770 + 47350\/3. Factor z - 15*m + 5\/3*m**2.\nAnswer: 5*(m - 8)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4167, 8323, 12477, 16629, 20779, 24927?\n\"Answer: -h**2 + 4159*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**3 - 2*x**2 + 1. Suppose -3*v - 1 = o + 3*o, -5*o = 2*v - 4. Let a = v + 4. What is the units digit of n(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000073846 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3724 divided by 4?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -116825337 - -5.\nAnswer: -116825332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*d**2 + 131*d**2 + 144*d**2 - 411*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5506 (base 10) to base 8.\nAnswer: -12602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*w - 374 + 374)*(-w + 5*w - 2*w) - 14*w**2 - 49*w**2 - 55*w**2 as b*w**2 + u + g*w and give b.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - (-26 + 16)) + -19?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l**3 - 2*l**2 - 5*l - 10. Is r(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 2, 0.65, -1, -0.01483.\nAnswer: -2, -1, -0.01483, 0.65, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5117337 less than -46056043\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-30))\/((-28)\/(-798)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - -43.9. Let h = 44.00155 - w. Round h to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*o + t - 16 = -447*o, 3*t - 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 483780.7 weeks in milliseconds?\nAnswer: 292590567360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 331?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 1. Let k(j) = -3*j**2 + 3*j + 2. Let w(f) = -2*f**2 - 21*f - 11. Let z be w(-10). Calculate z*k(d) + 2*a(d).\nAnswer: 3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*w - 0*w - 459, -2*w + 4*j + 192 = 0. Suppose s - 71 = w. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1613*x = 308*x - 42150 + 18398 - 30036 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 849277710 and 972.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 31931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -175, -386, -681?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4\/5, 1\/3, -4, -64?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104 by -951.\nAnswer: -104\/951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.53 - -0.53. Is 62 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 u when four letters picked without replacement from {c: 4, u: 3, v: 1, q: 5}.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.03387 millennia to centuries.\nAnswer: 850.3387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**6 - 32*o**4*u**2 - 108*o**2*u**2 - o*u**2 - 2*u**2 wrt o.\nAnswer: -480*o**3 - 768*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55668457, -111336907, -167005357, -222673807, -278342257, -334010707?\nAnswer: -389679157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2\/3 - 95*j\/3.\nAnswer: 5*j*(j - 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r + 9. Let f(p) = -7*p + 18. Let k(z) = 3*f(z) - 5*t(z). Let d be k(7). Solve 2*h - 4*y = -6, -2*h - 15 = d*y + 3*y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from rmermetmrremm?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 5 - 6 - 3 - 2*l to the form b*l + w*l**2 + s + n*l**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2601747?\nAnswer: 3, 173, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = -5*l - 67. Solve -k + 5*t - 10 = -25, -2*t = 5*k + l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(396)*-5 - sqrt(396)) + sqrt(396) - sqrt(396)) + -4 - (sqrt(396) + (4*(1 + sqrt(396)) - sqrt(396)))))**2.\nAnswer: 3840*sqrt(11) + 158656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 24 = 2*n. Suppose -w - w - 12 = 4*h, n = -5*w - 4*h. Let s(j) = -2*j**w - 1 - 3 - 7*j + j**2. Determine s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhee. What is prob of picking 2 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 21*q**2. Let v(u) = -11*u**3 - 2*u**2 - u. Let l be v(-1). Let m(k) = l*k - 3*k**2 - 34*k + 24*k. Calculate r(m(z)).\nAnswer: 189*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 41*x**2 + 148*x + 23. Let l be q(-37). Solve 6 = -l*m + 21*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3 = 3*o, -746*o = -2*z - 750*o - 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -4, -111 in ascending order.\nAnswer: -111, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1850576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1920 and -55\/84.\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by (-1)\/(2 + 38\/(-18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2.3. Let b = -3.9 + 4. Let t = b - 0.5. Put t, h, -2\/13 in decreasing order.\nAnswer: -2\/13, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43567203?\nAnswer: 3, 73, 198937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -17. Suppose 8 = l*a, 2*a = -o + 6*a + 1. Let s = 4 - 7. Put o, -0.1, s in descending order.\nAnswer: o, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17\/2 in 40, 14\/11, 3?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34630811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 207643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -26, -57, -98, -149, -210, -281?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 38*f - f**2 - 22*f + 1 in the form z*f**2 + d + g*f and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebfexfeffeffffx. What is prob of picking 2 x?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52658 and 2260.\nAnswer: 526580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + (sqrt(475) - (sqrt(475) - sqrt(475)*2)) + -5 - (-1 + sqrt(38)\/sqrt(2) + 0 + (-3 + -3*(-1 + sqrt(19)))**2).\nAnswer: -168 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 582 a factor of 1684890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/4, 15\/8, 1\/4, -132.75?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 596 - 592. Put -2, 0, t, 1 in increasing order.\nAnswer: -2, 0, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1760893, 3521784, 5282675, 7043566, 8804457, 10565348?\nAnswer: 12326239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351)*3 + sqrt(351) + sqrt(351))\/((sqrt(30)*3)\/sqrt(10)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13844 smaller than 13845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - p - 191, 0 = -0*r + 3*r - 3*p - 132. Calculate the highest common divisor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8955 - -8957. Let c(u) = u - 5. Let h be c(5). Put h, 16, r, -2 in increasing order.\nAnswer: -2, h, r, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -681*i**2 - 406 + 221 - i**3 - 14*i**4 + 185 wrt i.\nAnswer: -336*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 102.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2688 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/72)\/((-1)\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/3 + (-3)\/(81\/18). Solve 3*b - m - 19 = 0, 12 = x*b + m + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.365 rounded to one dp?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355 = -2*a + 3*k, 167 + 323 = -3*a - 4*k. Calculate the remainder when 37 is divided by a\/(-12) + 8\/(-48).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 8*o + 3. Let j be t(4). Suppose -3*i - 5 = j. Let h(d) = d**2 + 6*d + 9. Let q be h(i). What is the highest common factor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 680 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - -2. Suppose -93 = 4*u + 323. What is the remainder when u\/6*j\/(-6) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111 + 113. Suppose 2*x + 3*a = x - 4, -10 = -2*x + 3*a. What are the prime factors of x - (-31 + -2 - v)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 - 4\/3. Let y be ((-20)\/(-6))\/(6\/9). Let w = z + y. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/5 - 5)\/((-10)\/(-25))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r - 9*r - 2*r + 10 + 13*r + 7. Determine a(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -194 - ((23 - -77) + -218)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 4*i + 21 = 15*s, -s = 3*i - 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 470\/2070*37 + 13\/299?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442420?\nAnswer: 2, 5, 11, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k + 6. Let h be d(0). Suppose -h*u = -u - 17285. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/13, -30.86, 803, 1.\nAnswer: -30.86, 6\/13, 1, 803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 9*a. Let q be (1\/(-12))\/(6\/8). Which is smaller: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p - 17*p + 1 = -5*f - 5, -4*p - 3*f = -3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*v - 1 = -8, -4*v = -4*h - 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, q: 5, t: 3}. What is prob of sequence qttt?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -34*q + 90195. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Suppose -2*l + 34 = 4*n, -2*l - 9 + 1 = -b*n. Let x be (-3)\/(-4) - n\/8. Solve x = 3*h - 7*h - w - 8, 0 = 2*w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, j: 4}. Give prob of picking 3 j and 1 u.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 4*j = -15. Let q = -3 + 6. Sort j, q, -2 in increasing order.\nAnswer: j, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from {r: 4, l: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*y - 8*y + 9*y)*(-3*y**3 - 2*y + 2*y**2 + 2*y).\nAnswer: -90*y**4 + 60*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c\/c**(-1\/17)*c*c*c))*c*c\/((c**(2\/3)*c)\/c))**(-48) assuming c is positive.\nAnswer: c**(-5216\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 748930 and 7?\nAnswer: 748930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 5*n**2 + 0*n**4 + 0 + n**3 + 0*n + 0*n**5 - 7\/60*n**6. Find the first derivative of o(u) wrt u.\nAnswer: -42*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97478?\nAnswer: 2, 17, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -39048975 divided by -175\nAnswer: 223137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*v + 2*w + 12, -v = -4*w + 6. Let n be ((-15)\/(-6) - 1)*2. Let g(a) = -a**n + 3*a - 2*a - v*a**2 + 5 + 2. What is g(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -949.17 + 944. What is v rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 + 3 - (-8 - -7 - -1 - -10))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 13386, 2\/9?\nAnswer: 13386","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, i: 18}. Give prob of sequence ilii.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 4, -4, 2 in decreasing order.\nAnswer: 24, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-768)\/(-576) + ((-40)\/(-22) - 2 - (-890)\/(-429))?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Let t be (-21)\/15512*-1*x. Let y = 3065\/3324 - t. What is the common denominator of -19\/18 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/180*-6)\/((-12)\/(-100)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 13*h**2 + 2*h + 28. Let l(b) = -2*b - 43. Let u be l(-15). Let y be z(u). Solve -y*d = 2*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 27. Is a not equal to 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 f when three letters picked without replacement from {f: 5, l: 7}.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -421.7834129434 and 3.4.\nAnswer: -418.3834129434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1102 - 2?\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2. Let d(c) = 13647 - 6824 - 6823 - 287*c**2. Determine y(d(m)).\nAnswer: 82369*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*z + 10. Suppose 0 = -2*w + z*t - 0*t - 23, 4*w + 25 = -t. Let p = -4 - w. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4 + 1 + 0 + 3*s**2 + 0 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11243 + 11243. Let n(w) be the first derivative of k*w**3 - 7\/2*w**4 + 0*w - 3\/2*w**2 - 9. What is the second derivative of n(o) wrt o?\nAnswer: -84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*w + 6. Let f be -5*6*(-72)\/15. Let m be 1*-2 + f\/6. Solve -2*p + m = 4*a - 0*p, w*a = 2*p + 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-57)\/6 - -4)*-2. Let n = t + 5. What is the lowest common multiple of n and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 a factor of 1019284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4*-1)\/(3\/12*-20)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1\/31, -2563, -0.4, 1, 1\/2?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -899*v + 2. Let f(z) = -890*z + 3. Give -3*f(m) + 4*k(m).\nAnswer: -926*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/12 and -29\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a meter in centimeters?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n + 5*y + 41, -5*n - 2*y = -58. Suppose -2*q + 0*v = -v - 11, -2*v - n = -2*q. Solve q*r + 8 - 33 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-10)*3\/(660\/16).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1, 0.3, 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r**3 - 6*r**2 + 7*r - 25. Let d(p) = 8*p**3 - 7*p**2 + 7*p - 28. Let a(q) = 5*d(q) - 6*m(q). Let b be a(3). Is b not equal to -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -333*g + 1809. What is the hundreds digit of q(-44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2. Let u be 9\/3 - 1\/1. Let z(j) = 0*j**2 - 2 - j**2 + 0*j**u. Let n(r) = -5*r**2 - 9. Let l(g) = 2*n(g) - 9*z(g). What is l(x(t))?\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2. Let q = -4 - -10. Let v(c) = 2*c**2 + 5*c**2 - 9 - q*c**2 - 2*c**2. Give 9*u(t) + 2*v(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 342081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4909 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 - 5*f**3 - 6*f**3 - 3*f**3.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 882, 1976, 3518, 5730, 8834, 13052, 18606?\nAnswer: 25718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -38. Suppose 2*h = 5*r - 116, r - h - 25 = -w*r. Let p be 4\/r*-5 + 3 + -2. Which is the nearest to 3? (a) p (b) -0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739508921 is divided by 255?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.12 - 3.45026516\nAnswer: -4.57026516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-960)*-285*(-31)\/1178.\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*y - 4*y + 3*n, 2*n = 2*y - 4. Let p = y - -7. Suppose -5*t + 2*f = -15, -2*t - 10 = -p*t + 3*f. Solve 0 = 5*h - 0 + t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 2*i**4 + 57 + 2*i**2 - 52 + 0*i**4 as b*i**4 + k*i + v*i**3 + z*i**2 + s and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*h - 150 = -10*h. Suppose 15 = h*g + 3*m, 47*g - 50*g = -2*m + 10. Solve g - 2\/11*z**2 + 0*z = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 0*r**3 + 0 - 3\/20*r**5 - r - 3\/2*r**2 + 0*r**4. What is the derivative of o(t) wrt t?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 35*y + 288. Give l(-42).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4230 less than -1673581478?\nAnswer: -1673585708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50308, 50323, 50338, 50353, 50368, 50383?\nAnswer: 50398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*t + 90*t + 91*t - 223*t.\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -161*i**4\/2 + i**3\/3 - 139*i**2 + 391. Find the second derivative of w(h) wrt h.\nAnswer: -1932*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 7:59 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7796 + -0.0036. Round w to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (-3 + 2*sqrt(612)))**2 + sqrt(612) + ((sqrt(612) + -2 + sqrt(612))*-6)**2)*-2.\nAnswer: -177786 + 3516*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 58. Let x = r + 109. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 + -85.51. Let w = 2.49 - a. Suppose 15 = -0*u - 3*u. What is the second biggest value in u, 2\/11, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 5) + 23 + -1. What is the greatest common factor of o and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13857)\/(-27) + 8\/(-36). Let m = x - 235. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14831\/308 + 123\/77. Let j = a - -3\/4. Calculate the common denominator of j and -29\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003030787 rounded to five dps?\nAnswer: -0.00303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 - -50.86. Let s = 0.26 - j. Let c = -0.3968 + s. What is c rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10345.53 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 2. Let v be q(-3). Let r be 2*(v - (-6)\/4). Suppose -34 = -k - r*n, 2*n = 4*k - 0*n - 70. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 906500 to the nearest ten thousand.\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 67268527793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 4*i - 2*i)*(-2*i + 2*i - 10*i)*(-6*i - 3*i + i + 3*i).\nAnswer: -450*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 10 + -1)*47*312\/(-164970).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 13*f**2 + 32*f - 26. Let v be a(15). Let q(o) = -o**3 + o**2 + 10*o + 4. Let k be q(v). Which is smaller: k or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5560, -9993, -22028, -45469, -84120?\nAnswer: -141785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 3:20 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-1))\/(-3)*-77. What are the prime factors of z\/(2 - (5 + -4))?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -280 + 431. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-377)\/(-104)*-4*(20 - 18).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(140\/8)\/7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 0*j**2 - 41 - 2*j**2 + 4*j + 3*j**2 to the form y*j**2 + i + n*j and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*m**3 + 0 + 23*m**4 - 5 - 111*m**2 + 114*m**2 in the form w*m + x*m**4 + z*m**3 + q*m**2 + s and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48262244?\nAnswer: 2, 67, 101, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-12)*(-36)\/(-120)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**2 + 4*c - 4*c + (-c + c - 2*c)*(c - 2*c - c) - 11 + 4*c + c**2 + 11)*(-17 + 13 + 31) to the form q*c**2 + x*c + b and give x.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 1)*(-3*r + 0*r + 2*r) + 3*r - r - 3*r + r - 11 + 11)*(r - r - r**2).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 2862*p - 2820*p.\nAnswer: 42*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f - 3. Suppose -3*k - 1 = -r, -5*k - 18 = -4*r - 7*k. Let m(l) = 6*l + 8. What is r*m(b) + 11*v(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + g**2)*(1 + 4 - 3) + 2*g - 2*g + g**2)*(-15*g**2 + 1 - 1).\nAnswer: -45*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 2219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 4325.\nAnswer: -3\/4325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413319*t = 413891*t + 36608 for t.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**3*r**4 + 326*k**3 + 65*k*r**5 - 2*r wrt r?\nAnswer: -12*k**3*r**2 + 1300*k*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32762*a + 32721*a + 1440 - 324 = 65519*a for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 436*m**3*w**3 + 2210*m**3*w**2 + 26*m**3*w - 23*m*w**6 - 2*m*w**3 wrt w.\nAnswer: 2616*m**3 - 2760*m*w**3 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 285, 2, -4 in descending order.\nAnswer: 285, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/45 + (-118)\/(-531). Let o be ((-2)\/(-33))\/(3\/9). Let w = 6 + -4. Put o, w, u in decreasing order.\nAnswer: w, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**31*o**(35\/4) assuming o is positive.\nAnswer: o**(159\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.389402um?\nAnswer: 0.0008389402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -2*u + s, 441151*u - 510*s = 441153*u + 4062 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784 is divided by 494?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485908 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29358 is divided by 2265?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (65886\/210 - 16\/112)\/((-6)\/(-105)) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - -4*(sqrt(117) + 1))*6 - ((sqrt(208) + 1 - (sqrt(13) - (sqrt(1053) + sqrt(1053) + -1))) + 2))**2.\nAnswer: 3036*sqrt(13) + 62377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - -0.46. Let y = -7 + 11. What is the nearest to -0.2 in y, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2967772*f**2*o**3 - 719*f**2 + 7560*f + 3*o**4 wrt o.\nAnswer: 8903316*f**2*o**2 + 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 2. Let v(o) = -o - 2. Let a = 3 - -1. Suppose 3 = a*x - 9. Suppose -2*c - 7 + 1 = -2*t, -c + 1 = -5*t. Calculate c*s(u) + x*v(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 18. Let m be t(10). Suppose -m - 3*p**2 + 4*p + 5*p + 2 = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101010111011101010 (base 2) to base 8.\nAnswer: -5527352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-35))\/(((-4437)\/174)\/(10\/4)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 28547.26mm?\nAnswer: 28547260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 5*o**2 + 6*o - 6. Let v(n) = n. Let i be v(-6). Let b(y) = -y - 8. Let p be b(i). Let u be 10*(p\/(-5) + 0). Determine x(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/8 and 29\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 25 - (-51 - -24).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 2*c - 2. Let u be s(-1). Let v be -2*(-90)\/(-20)*(-1)\/3. Put v, -4, u, 5 in increasing order.\nAnswer: -4, u, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 3*r. Let i(o) = 5*o**2 + 15*o. Let b(u) = 11*a(u) + 2*i(u). Find the second derivative of b(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1790022 and 312.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101011001000100101100 (base 2) to base 3.\nAnswer: -211101112121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -2\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1526 by 5.\nAnswer: -1526\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1. Let x(g) = -g**3 - 12*g**2 + 27*g - 9. Let n be x(-14). Let u be 2\/8 + 11\/4. Solve r - u*r = 5*c, s = n*r - 2*c - 29 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181006 (base 15) to base 4\nAnswer: 10131012030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}